TSTP Solution File: LAT206-10 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT206-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n009.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 07:15:41 EDT 2022
% Result : Unsatisfiable 188.34s 188.75s
% Output : CNFRefutation 188.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT206-10 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : woody %s
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 29 04:58:22 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.96 * |/ | \/ | *
% 0.57/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.96 * A. Jaeger and B. Loechner | | *
% 0.57/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.96
% 0.57/0.96 Goals:
% 0.57/0.96 ------
% 0.57/0.96
% 0.57/0.96 ( 1) join(meet(a,b),meet(a,c)) ?=? meet(a,join(b,c))
% 0.57/0.96
% 0.57/0.96 Detected structure: Verband
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 188.34/188.75 joined goal: 1 join(meet(a,b),meet(a,c)) ?= meet(a,join(b,c)) to meet(a,join(c,b))
% 188.34/188.75 goal joined
% 188.34/188.75 % SZS status Unsatisfiable
% 188.34/188.75 #START OF PROOF
% 188.34/188.75 % SZS output start CNFRefutation
% 188.34/188.75 cnf('0.1.0.0',axiom,
% 188.34/188.75 ( X1 = join(X1,X1) ),
% 188.34/188.75 file('/tmp/WALDMEISTER_14033_n009')).
% 188.34/188.75 cnf('0.1.1.0',plain,
% 188.34/188.75 ( X1 = join(X1,X1) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.1.0.0']),
% 188.34/188.75 [weight('<0,0,0,[0,0,0,1]>')]).
% 188.34/188.75 cnf('0.1.2.0',plain,
% 188.34/188.75 ( join(X1,X1) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_1]).
% 188.34/188.75 cnf('0.2.0.0',axiom,
% 188.34/188.75 ( X1 = join(X1,meet(X1,X2)) ),
% 188.34/188.75 file('/tmp/WALDMEISTER_14033_n009')).
% 188.34/188.75 cnf('0.2.1.0',plain,
% 188.34/188.75 ( X1 = join(X1,meet(X1,X2)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.2.0.0']),
% 188.34/188.75 [weight('<1,0,0,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.2.2.0',plain,
% 188.34/188.75 ( join(X1,meet(X1,X2)) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_2]).
% 188.34/188.75 cnf('0.3.0.0',axiom,
% 188.34/188.75 ( X1 = meet(X1,X1) ),
% 188.34/188.75 file('/tmp/WALDMEISTER_14033_n009')).
% 188.34/188.75 cnf('0.3.1.0',plain,
% 188.34/188.75 ( X1 = meet(X1,X1) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.3.0.0']),
% 188.34/188.75 [weight('<2,0,0,[0,0,0,3]>')]).
% 188.34/188.75 cnf('0.3.2.0',plain,
% 188.34/188.75 ( meet(X1,X1) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_3]).
% 188.34/188.75 cnf('0.4.0.0',axiom,
% 188.34/188.75 ( X1 = meet(X1,join(X1,X2)) ),
% 188.34/188.75 file('/tmp/WALDMEISTER_14033_n009')).
% 188.34/188.75 cnf('0.4.1.0',plain,
% 188.34/188.75 ( X1 = meet(X1,join(X1,X2)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.4.0.0']),
% 188.34/188.75 [weight('<3,0,0,[0,0,0,4]>')]).
% 188.34/188.75 cnf('0.4.2.0',plain,
% 188.34/188.75 ( meet(X1,join(X1,X2)) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_4]).
% 188.34/188.75 cnf('0.5.0.0',axiom,
% 188.34/188.75 ( X1 = ifeq(X2,X2,X1,X3) ),
% 188.34/188.75 file('/tmp/WALDMEISTER_14033_n009')).
% 188.34/188.75 cnf('0.5.1.0',plain,
% 188.34/188.75 ( X1 = ifeq(X2,X2,X1,X3) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5.0.0']),
% 188.34/188.75 [weight('<4,0,0,[0,0,0,5]>')]).
% 188.34/188.75 cnf('0.5.2.0',plain,
% 188.34/188.75 ( ifeq(X1,X1,X2,X3) = X2 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_5]).
% 188.34/188.75 cnf('0.6.0.0',axiom,
% 188.34/188.75 ( X1 = ifeq(join(X2,X1),one,ifeq(meet(X2,X1),zero,complement(X2),X1),X1) ),
% 188.34/188.75 file('/tmp/WALDMEISTER_14033_n009')).
% 188.34/188.75 cnf('0.6.1.0',plain,
% 188.34/188.75 ( X1 = ifeq(join(X2,X1),one,ifeq(meet(X2,X1),zero,complement(X2),X1),X1) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.6.0.0']),
% 188.34/188.75 [weight('<5,0,0,[0,0,0,6]>')]).
% 188.34/188.75 cnf('0.6.2.0',plain,
% 188.34/188.75 ( ifeq(join(X1,X2),one,ifeq(meet(X1,X2),zero,complement(X1),X2),X2) = X2 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_6]).
% 188.34/188.75 cnf('0.7.0.0',axiom,
% 188.34/188.75 ( join(X1,X2) = join(X2,X1) ),
% 188.34/188.75 file('/tmp/WALDMEISTER_14033_n009')).
% 188.34/188.75 cnf('0.7.1.0',plain,
% 188.34/188.75 ( join(X1,X2) = join(X2,X1) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.7.0.0']),
% 188.34/188.75 [weight('<6,0,0,[0,0,0,7]>')]).
% 188.34/188.75 cnf('0.7.2.0',plain,
% 188.34/188.75 ( join(X1,X2) = join(X2,X1) ),
% 188.34/188.75 inference(activate,[status(thm)],['0.7.1.0']),
% 188.34/188.75 [equation_1]).
% 188.34/188.75 cnf('0.8.0.0',axiom,
% 188.34/188.75 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 188.34/188.75 file('/tmp/WALDMEISTER_14033_n009')).
% 188.34/188.75 cnf('0.8.1.0',plain,
% 188.34/188.75 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.8.0.0']),
% 188.34/188.75 [weight('<7,0,0,[0,0,0,8]>')]).
% 188.34/188.75 cnf('0.8.2.0',plain,
% 188.34/188.75 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_7]).
% 188.34/188.75 cnf('0.9.0.0',axiom,
% 188.34/188.75 ( join(X1,complement(X1)) = one ),
% 188.34/188.75 file('/tmp/WALDMEISTER_14033_n009')).
% 188.34/188.75 cnf('0.9.1.0',plain,
% 188.34/188.75 ( join(X1,complement(X1)) = one ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.9.0.0']),
% 188.34/188.75 [weight('<8,0,0,[0,0,0,9]>')]).
% 188.34/188.75 cnf('0.9.2.0',plain,
% 188.34/188.75 ( join(X1,complement(X1)) = one ),
% 188.34/188.75 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_8]).
% 188.34/188.75 cnf('0.10.0.0',axiom,
% 188.34/188.75 ( meet(X1,X2) = meet(X2,X1) ),
% 188.34/188.75 file('/tmp/WALDMEISTER_14033_n009')).
% 188.34/188.75 cnf('0.10.1.0',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(X2,X1) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.10.0.0']),
% 188.34/188.75 [weight('<9,0,0,[0,0,0,10]>')]).
% 188.34/188.75 cnf('0.10.2.0',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(X2,X1) ),
% 188.34/188.75 inference(activate,[status(thm)],['0.10.1.0']),
% 188.34/188.75 [equation_2]).
% 188.34/188.75 cnf('0.11.0.0',axiom,
% 188.34/188.75 ( meet(X1,join(X2,meet(join(X2,X3),join(X4,meet(X1,X2))))) = meet(X1,meet(join(X2,X3),join(X2,X4))) ),
% 188.34/188.75 file('/tmp/WALDMEISTER_14033_n009')).
% 188.34/188.75 cnf('0.11.1.0',plain,
% 188.34/188.75 ( meet(X1,join(X2,meet(join(X2,X3),join(X4,meet(X1,X2))))) = meet(X1,meet(join(X2,X3),join(X2,X4))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.11.0.0']),
% 188.34/188.75 [weight('<10,0,0,[0,0,0,11]>')]).
% 188.34/188.75 cnf('0.11.2.0',plain,
% 188.34/188.75 ( meet(X1,join(X2,meet(join(X2,X3),join(X4,meet(X1,X2))))) = meet(X1,meet(join(X2,X3),join(X2,X4))) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_9]).
% 188.34/188.75 cnf('0.12.0.0',axiom,
% 188.34/188.75 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 188.34/188.75 file('/tmp/WALDMEISTER_14033_n009')).
% 188.34/188.75 cnf('0.12.1.0',plain,
% 188.34/188.75 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.12.0.0']),
% 188.34/188.75 [weight('<11,0,0,[0,0,0,12]>')]).
% 188.34/188.75 cnf('0.12.2.0',plain,
% 188.34/188.75 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_10]).
% 188.34/188.75 cnf('0.13.0.0',axiom,
% 188.34/188.75 ( meet(X1,complement(X1)) = zero ),
% 188.34/188.75 file('/tmp/WALDMEISTER_14033_n009')).
% 188.34/188.75 cnf('0.13.1.0',plain,
% 188.34/188.75 ( meet(X1,complement(X1)) = zero ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.13.0.0']),
% 188.34/188.75 [weight('<12,0,0,[0,0,0,13]>')]).
% 188.34/188.75 cnf('0.13.2.0',plain,
% 188.34/188.75 ( meet(X1,complement(X1)) = zero ),
% 188.34/188.75 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_11]).
% 188.34/188.75 cnf('0.14.0.0',plain,
% 188.34/188.75 ( X1 = meet(X1,one) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.4.2.0','0.9.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.14.1.0',plain,
% 188.34/188.75 ( X1 = meet(X1,one) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.14.0.0']),
% 188.34/188.75 [weight('<3,9,4,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.14.2.0',plain,
% 188.34/188.75 ( meet(X1,one) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_12]).
% 188.34/188.75 cnf('0.15.0.0',plain,
% 188.34/188.75 ( X1 = join(X1,zero) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.2.2.0','0.13.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.15.1.0',plain,
% 188.34/188.75 ( X1 = join(X1,zero) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.15.0.0']),
% 188.34/188.75 [weight('<3,13,2,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.15.2.0',plain,
% 188.34/188.75 ( join(X1,zero) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_13]).
% 188.34/188.75 cnf('0.16.0.0',plain,
% 188.34/188.75 ( X1 = meet(one,X1) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.14.2.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.16.1.0',plain,
% 188.34/188.75 ( X1 = meet(one,X1) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.16.0.0']),
% 188.34/188.75 [weight('<3,14,10,[1,0,0,0]>')]).
% 188.34/188.75 cnf('0.16.2.0',plain,
% 188.34/188.75 ( meet(one,X1) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_14]).
% 188.34/188.75 cnf('0.18.0.0',plain,
% 188.34/188.75 ( X1 = join(zero,X1) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.15.2.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.18.1.0',plain,
% 188.34/188.75 ( X1 = join(zero,X1) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.18.0.0']),
% 188.34/188.75 [weight('<3,15,7,[1,0,0,0]>')]).
% 188.34/188.75 cnf('0.18.2.0',plain,
% 188.34/188.75 ( join(zero,X1) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_16]).
% 188.34/188.75 cnf('0.20.0.0',plain,
% 188.34/188.75 ( one = join(one,X1) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.2.2.0','0.16.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.20.1.0',plain,
% 188.34/188.75 ( one = join(one,X1) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.20.0.0']),
% 188.34/188.75 [weight('<3,16,2,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.20.2.0',plain,
% 188.34/188.75 ( join(one,X1) = one ),
% 188.34/188.75 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_18]).
% 188.34/188.75 cnf('0.21.0.0',plain,
% 188.34/188.75 ( meet(zero,X1) = zero ),
% 188.34/188.75 inference(cp,[status(thm)],['0.18.2.0','0.2.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.21.1.0',plain,
% 188.34/188.75 ( meet(zero,X1) = zero ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.21.0.0']),
% 188.34/188.75 [weight('<3,18,2,[1,0,0,0]>')]).
% 188.34/188.75 cnf('0.21.2.0',plain,
% 188.34/188.75 ( meet(zero,X1) = zero ),
% 188.34/188.75 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_19]).
% 188.34/188.75 cnf('0.22.0.0',plain,
% 188.34/188.75 ( one = join(X1,one) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.20.2.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.22.1.0',plain,
% 188.34/188.75 ( one = join(X1,one) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.22.0.0']),
% 188.34/188.75 [weight('<3,20,7,[1,0,0,0]>')]).
% 188.34/188.75 cnf('0.22.2.0',plain,
% 188.34/188.75 ( join(X1,one) = one ),
% 188.34/188.75 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_20]).
% 188.34/188.75 cnf('0.23.0.0',plain,
% 188.34/188.75 ( zero = meet(X1,zero) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.21.2.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.23.1.0',plain,
% 188.34/188.75 ( zero = meet(X1,zero) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.23.0.0']),
% 188.34/188.75 [weight('<3,21,10,[1,0,0,0]>')]).
% 188.34/188.75 cnf('0.23.2.0',plain,
% 188.34/188.75 ( meet(X1,zero) = zero ),
% 188.34/188.75 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_21]).
% 188.34/188.75 cnf('0.24.0.0',plain,
% 188.34/188.75 ( X1 = meet(X1,join(X2,X1)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.4.2.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.24.1.0',plain,
% 188.34/188.75 ( X1 = meet(X1,join(X2,X1)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.24.0.0']),
% 188.34/188.75 [weight('<5,7,4,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.24.2.0',plain,
% 188.34/188.75 ( meet(X1,join(X2,X1)) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_22]).
% 188.34/188.75 cnf('0.25.0.0',plain,
% 188.34/188.75 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.8.2.0','0.1.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.25.1.0',plain,
% 188.34/188.75 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.25.0.0']),
% 188.34/188.75 [weight('<5,8,1,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.25.2.0',plain,
% 188.34/188.75 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_23]).
% 188.34/188.75 cnf('0.26.0.0',plain,
% 188.34/188.75 ( X1 = join(X1,meet(X2,X1)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.2.2.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.26.1.0',plain,
% 188.34/188.75 ( X1 = join(X1,meet(X2,X1)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.26.0.0']),
% 188.34/188.75 [weight('<5,10,2,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.26.2.0',plain,
% 188.34/188.75 ( join(X1,meet(X2,X1)) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_24]).
% 188.34/188.75 cnf('0.27.0.0',plain,
% 188.34/188.75 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.27.1.0',plain,
% 188.34/188.75 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.27.0.0']),
% 188.34/188.75 [weight('<5,12,3,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.27.2.0',plain,
% 188.34/188.75 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_25]).
% 188.34/188.75 cnf('0.30.0.0',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.24.2.0','0.2.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.30.0.1',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.30.0.0','0.12.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.30.1.0',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.30.0.1']),
% 188.34/188.75 [weight('<5,24,2,[1,0,0,2]>')]).
% 188.34/188.75 cnf('0.30.2.0',plain,
% 188.34/188.75 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_28]).
% 188.34/188.75 cnf('0.31.0.0',plain,
% 188.34/188.75 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.25.2.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.31.1.0',plain,
% 188.34/188.75 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.31.0.0']),
% 188.34/188.75 [weight('<5,25,7,[1,0,0,2]>')]).
% 188.34/188.75 cnf('0.31.2.0',plain,
% 188.34/188.75 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_29]).
% 188.34/188.75 cnf('0.32.0.0',plain,
% 188.34/188.75 ( join(X1,join(complement(X1),X2)) = join(one,X2) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.8.2.0','0.9.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.32.1.0',plain,
% 188.34/188.75 ( join(X1,join(complement(X1),X2)) = join(one,X2) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.32.0.0']),
% 188.34/188.75 [weight('<6,9,8,[0,0,0,1]>')]).
% 188.34/188.75 cnf('0.32.1.1',plain,
% 188.34/188.75 ( join(X1,join(complement(X1),X2)) = one ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.32.1.0','0.20.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.32.2.0',plain,
% 188.34/188.75 ( join(X1,join(complement(X1),X2)) = one ),
% 188.34/188.75 inference(orient,[status(thm)],['0.32.1.1',theory(equality)]),
% 188.34/188.75 [u,rule_30]).
% 188.34/188.75 cnf('0.33.0.0',plain,
% 188.34/188.75 ( meet(X1,meet(complement(X1),X2)) = meet(zero,X2) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.12.2.0','0.13.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.33.1.0',plain,
% 188.34/188.75 ( meet(X1,meet(complement(X1),X2)) = meet(zero,X2) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.33.0.0']),
% 188.34/188.75 [weight('<6,13,12,[0,0,0,1]>')]).
% 188.34/188.75 cnf('0.33.1.1',plain,
% 188.34/188.75 ( meet(X1,meet(complement(X1),X2)) = zero ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.33.1.0','0.21.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.33.2.0',plain,
% 188.34/188.75 ( meet(X1,meet(complement(X1),X2)) = zero ),
% 188.34/188.75 inference(orient,[status(thm)],['0.33.1.1',theory(equality)]),
% 188.34/188.75 [u,rule_31]).
% 188.34/188.75 cnf('0.37.0.0',plain,
% 188.34/188.75 ( join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),one) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.31.2.0','0.32.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.37.0.1',plain,
% 188.34/188.75 ( join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),one) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.37.0.0','0.8.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.37.0.2',plain,
% 188.34/188.75 ( join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,one)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.37.0.1','0.8.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.37.0.3',plain,
% 188.34/188.75 ( join(complement(X1),join(X2,X1)) = join(complement(X1),one) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.37.0.2','0.22.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.2','L')]).
% 188.34/188.75 cnf('0.37.0.4',plain,
% 188.34/188.75 ( join(complement(X1),join(X2,X1)) = one ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.37.0.3','0.22.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.37.1.0',plain,
% 188.34/188.75 ( join(complement(X1),join(X2,X1)) = one ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.37.0.4']),
% 188.34/188.75 [weight('<6,32,31,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.37.2.0',plain,
% 188.34/188.75 ( join(complement(X1),join(X2,X1)) = one ),
% 188.34/188.75 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_35]).
% 188.34/188.75 cnf('0.38.0.0',plain,
% 188.34/188.75 ( zero = meet(X1,meet(X2,complement(X1))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.33.2.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.38.1.0',plain,
% 188.34/188.75 ( zero = meet(X1,meet(X2,complement(X1))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.38.0.0']),
% 188.34/188.75 [weight('<6,33,10,[1,0,0,2]>')]).
% 188.34/188.75 cnf('0.38.2.0',plain,
% 188.34/188.75 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 188.34/188.75 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_36]).
% 188.34/188.75 cnf('0.39.0.0',plain,
% 188.34/188.75 ( meet(meet(complement(X1),X2),X1) = meet(meet(complement(X1),X2),zero) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.30.2.0','0.33.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.39.0.1',plain,
% 188.34/188.75 ( meet(complement(X1),meet(X2,X1)) = meet(meet(complement(X1),X2),zero) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.39.0.0','0.12.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.39.0.2',plain,
% 188.34/188.75 ( meet(complement(X1),meet(X2,X1)) = meet(complement(X1),meet(X2,zero)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.39.0.1','0.12.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.39.0.3',plain,
% 188.34/188.75 ( meet(complement(X1),meet(X2,X1)) = meet(complement(X1),zero) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.39.0.2','0.23.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.2','L')]).
% 188.34/188.75 cnf('0.39.0.4',plain,
% 188.34/188.75 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.39.0.3','0.23.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.39.1.0',plain,
% 188.34/188.75 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.39.0.4']),
% 188.34/188.75 [weight('<6,33,30,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.39.2.0',plain,
% 188.34/188.75 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 188.34/188.75 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_37]).
% 188.34/188.75 cnf('0.42.0.0',plain,
% 188.34/188.75 ( one = join(complement(meet(X1,X2)),X2) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.37.2.0','0.26.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.42.1.0',plain,
% 188.34/188.75 ( one = join(complement(meet(X1,X2)),X2) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.42.0.0']),
% 188.34/188.75 [weight('<6,37,26,[1,0,0,3]>')]).
% 188.34/188.75 cnf('0.42.1.1',plain,
% 188.34/188.75 ( one = join(X2,complement(meet(X1,X2))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.42.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.42.2.0',plain,
% 188.34/188.75 ( join(X1,complement(meet(X2,X1))) = one ),
% 188.34/188.75 inference(orient,[status(thm)],['0.42.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_40]).
% 188.34/188.75 cnf('0.43.0.0',plain,
% 188.34/188.75 ( zero = meet(complement(join(X1,X2)),X1) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.39.2.0','0.4.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.43.1.0',plain,
% 188.34/188.75 ( zero = meet(complement(join(X1,X2)),X1) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.43.0.0']),
% 188.34/188.75 [weight('<6,39,4,[1,0,0,3]>')]).
% 188.34/188.75 cnf('0.43.1.1',plain,
% 188.34/188.75 ( zero = meet(X1,complement(join(X1,X2))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.43.1.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.43.2.0',plain,
% 188.34/188.75 ( meet(X1,complement(join(X1,X2))) = zero ),
% 188.34/188.75 inference(orient,[status(thm)],['0.43.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_41]).
% 188.34/188.75 cnf('0.46.0.0',plain,
% 188.34/188.75 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.46.1.0',plain,
% 188.34/188.75 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.46.0.0']),
% 188.34/188.75 [weight('<7,8,2,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.46.2.0',plain,
% 188.34/188.75 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_44]).
% 188.34/188.75 cnf('0.47.0.0',plain,
% 188.34/188.75 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.12.2.0','0.4.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.47.1.0',plain,
% 188.34/188.75 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.47.0.0']),
% 188.34/188.75 [weight('<7,12,4,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.47.2.0',plain,
% 188.34/188.75 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_45]).
% 188.34/188.75 cnf('0.48.0.0',plain,
% 188.34/188.75 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.24.2.0','0.8.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.48.1.0',plain,
% 188.34/188.75 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.48.0.0']),
% 188.34/188.75 [weight('<7,24,8,[1,0,0,2]>')]).
% 188.34/188.75 cnf('0.48.2.0',plain,
% 188.34/188.75 ( meet(X1,join(X2,join(X3,X1))) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_46]).
% 188.34/188.75 cnf('0.49.0.0',plain,
% 188.34/188.75 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.12.2.0','0.24.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.49.1.0',plain,
% 188.34/188.75 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.49.0.0']),
% 188.34/188.75 [weight('<7,24,12,[0,0,0,1]>')]).
% 188.34/188.75 cnf('0.49.2.0',plain,
% 188.34/188.75 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_47]).
% 188.34/188.75 cnf('0.50.0.0',plain,
% 188.34/188.75 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.8.2.0','0.26.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.50.1.0',plain,
% 188.34/188.75 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.50.0.0']),
% 188.34/188.75 [weight('<7,26,8,[0,0,0,1]>')]).
% 188.34/188.75 cnf('0.50.2.0',plain,
% 188.34/188.75 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_48]).
% 188.34/188.75 cnf('0.52.0.0',plain,
% 188.34/188.75 ( meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X1,X2),X3) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.12.2.0','0.30.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.52.0.1',plain,
% 188.34/188.75 ( meet(X1,meet(X2,meet(X1,X3))) = meet(meet(X1,X2),X3) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.52.0.0','0.12.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.52.0.2',plain,
% 188.34/188.75 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.52.0.1','0.12.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.52.1.0',plain,
% 188.34/188.75 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.52.0.2']),
% 188.34/188.75 [weight('<7,30,12,[0,0,0,1]>')]).
% 188.34/188.75 cnf('0.52.2.0',plain,
% 188.34/188.75 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_50]).
% 188.34/188.75 cnf('0.55.0.0',plain,
% 188.34/188.75 ( join(X1,join(join(X2,X1),X3)) = join(join(X1,X2),X3) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.8.2.0','0.31.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.55.0.1',plain,
% 188.34/188.75 ( join(X1,join(X2,join(X1,X3))) = join(join(X1,X2),X3) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.55.0.0','0.8.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.55.0.2',plain,
% 188.34/188.75 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.55.0.1','0.8.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.55.1.0',plain,
% 188.34/188.75 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.55.0.2']),
% 188.34/188.75 [weight('<7,31,8,[0,0,0,1]>')]).
% 188.34/188.75 cnf('0.55.2.0',plain,
% 188.34/188.75 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_53]).
% 188.34/188.75 cnf('0.58.0.0',plain,
% 188.34/188.75 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.46.2.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.58.1.0',plain,
% 188.34/188.75 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.58.0.0']),
% 188.34/188.75 [weight('<7,46,7,[1,0,0,2]>')]).
% 188.34/188.75 cnf('0.58.2.0',plain,
% 188.34/188.75 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_56]).
% 188.34/188.75 cnf('0.59.0.0',plain,
% 188.34/188.75 ( join(X1,meet(X2,meet(X1,X3))) = join(X1,meet(X1,X3)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.46.2.0','0.26.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.59.0.1',plain,
% 188.34/188.75 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.59.0.0','0.2.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.59.1.0',plain,
% 188.34/188.75 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.59.0.1']),
% 188.34/188.75 [weight('<7,46,26,[1,0,0,2]>')]).
% 188.34/188.75 cnf('0.59.2.0',plain,
% 188.34/188.75 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_57]).
% 188.34/188.75 cnf('0.60.0.0',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.47.2.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.60.1.0',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.60.0.0']),
% 188.34/188.75 [weight('<7,47,10,[1,0,0,2]>')]).
% 188.34/188.75 cnf('0.60.2.0',plain,
% 188.34/188.75 ( meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_58]).
% 188.34/188.75 cnf('0.61.0.0',plain,
% 188.34/188.75 ( meet(X1,join(X2,join(X1,X3))) = meet(X1,join(X1,X3)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.47.2.0','0.24.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.61.0.1',plain,
% 188.34/188.75 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.61.0.0','0.4.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.61.1.0',plain,
% 188.34/188.75 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.61.0.1']),
% 188.34/188.75 [weight('<7,47,24,[1,0,0,2]>')]).
% 188.34/188.75 cnf('0.61.2.0',plain,
% 188.34/188.75 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_59]).
% 188.34/188.75 cnf('0.62.0.0',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(meet(X1,X2),join(X3,X1)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.48.2.0','0.2.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.2','L')]).
% 188.34/188.75 cnf('0.62.0.1',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,X1))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.62.0.0','0.12.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.62.1.0',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,X1))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.62.0.1']),
% 188.34/188.75 [weight('<7,48,2,[1,0,0,4]>')]).
% 188.34/188.75 cnf('0.62.2.0',plain,
% 188.34/188.75 ( meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_60]).
% 188.34/188.75 cnf('0.64.0.0',plain,
% 188.34/188.75 ( one = join(X1,join(X2,complement(join(X1,X2)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.9.2.0','0.8.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.64.1.0',plain,
% 188.34/188.75 ( one = join(X1,join(X2,complement(join(X1,X2)))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.64.0.0']),
% 188.34/188.75 [weight('<8,9,8,[1,0,0,0]>')]).
% 188.34/188.75 cnf('0.64.2.0',plain,
% 188.34/188.75 ( join(X1,join(X2,complement(join(X1,X2)))) = one ),
% 188.34/188.75 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_62]).
% 188.34/188.75 cnf('0.65.0.0',plain,
% 188.34/188.75 ( zero = meet(X1,meet(X2,complement(meet(X1,X2)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.13.2.0','0.12.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.65.1.0',plain,
% 188.34/188.75 ( zero = meet(X1,meet(X2,complement(meet(X1,X2)))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.65.0.0']),
% 188.34/188.75 [weight('<8,13,12,[1,0,0,0]>')]).
% 188.34/188.75 cnf('0.65.2.0',plain,
% 188.34/188.75 ( meet(X1,meet(X2,complement(meet(X1,X2)))) = zero ),
% 188.34/188.75 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_63]).
% 188.34/188.75 cnf('0.70.0.0',plain,
% 188.34/188.75 ( one = join(complement(join(X1,X2)),join(X2,X1)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.37.2.0','0.31.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.70.1.0',plain,
% 188.34/188.75 ( one = join(complement(join(X1,X2)),join(X2,X1)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.70.0.0']),
% 188.34/188.75 [weight('<8,37,31,[1,0,0,3]>')]).
% 188.34/188.75 cnf('0.70.1.1',plain,
% 188.34/188.75 ( one = join(join(X2,X1),complement(join(X1,X2))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.70.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.70.1.2',plain,
% 188.34/188.75 ( one = join(X2,join(X1,complement(join(X1,X2)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.70.1.1','0.8.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.70.2.0',plain,
% 188.34/188.75 ( join(X1,join(X2,complement(join(X2,X1)))) = one ),
% 188.34/188.75 inference(orient,[status(thm)],['0.70.1.2',theory(equality)]),
% 188.34/188.75 [x,rule_68]).
% 188.34/188.75 cnf('0.99.0.0',plain,
% 188.34/188.75 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X2,X3))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.4.2.0','0.8.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.99.1.0',plain,
% 188.34/188.75 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X2,X3))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.99.0.0']),
% 188.34/188.75 [weight('<9,8,4,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.99.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X1,join(X2,X3))) = join(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_97]).
% 188.34/188.75 cnf('0.101.0.0',plain,
% 188.34/188.75 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X2,X3))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.2.2.0','0.12.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.101.1.0',plain,
% 188.34/188.75 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X2,X3))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.101.0.0']),
% 188.34/188.75 [weight('<9,12,2,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.101.2.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_99]).
% 188.34/188.75 cnf('0.106.0.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.24.2.0','0.46.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.106.1.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.106.0.0']),
% 188.34/188.75 [weight('<9,46,24,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.106.1.1',plain,
% 188.34/188.75 ( join(meet(X1,X2),X3) = meet(join(X1,X3),join(meet(X1,X2),X3)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.106.1.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.106.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.106.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_104]).
% 188.34/188.75 cnf('0.107.0.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(meet(X1,X2),join(X1,X3))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.106.2.0','0.25.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.107.0.1',plain,
% 188.34/188.75 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.107.0.0','0.24.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.107.1.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.107.0.1']),
% 188.34/188.75 [weight('<7,106,25,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.107.2.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_105]).
% 188.34/188.75 cnf('0.109.0.0',plain,
% 188.34/188.75 ( join(X1,X2) = join(meet(X3,X1),join(X1,X2)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.107.2.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.109.1.0',plain,
% 188.34/188.75 ( join(X1,X2) = join(meet(X3,X1),join(X1,X2)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.109.0.0']),
% 188.34/188.75 [weight('<7,107,10,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.109.2.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),join(X2,X3)) = join(X2,X3) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_107]).
% 188.34/188.75 cnf('0.111.0.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.26.2.0','0.47.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.111.1.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.111.0.0']),
% 188.34/188.75 [weight('<9,47,26,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.111.1.1',plain,
% 188.34/188.75 ( meet(join(X1,X2),X3) = join(meet(X1,X3),meet(join(X1,X2),X3)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.111.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.111.2.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(join(X1,X3),X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.111.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_109]).
% 188.34/188.75 cnf('0.112.0.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),meet(X1,X3)) = join(meet(X1,X3),meet(join(X1,X2),meet(X1,X3))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.111.2.0','0.27.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.112.0.1',plain,
% 188.34/188.75 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.112.0.0','0.26.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.112.1.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.112.0.1']),
% 188.34/188.75 [weight('<7,111,27,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.112.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_110]).
% 188.34/188.75 cnf('0.114.0.0',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.112.2.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.114.1.0',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.114.0.0']),
% 188.34/188.75 [weight('<7,112,10,[1,0,0,4]>')]).
% 188.34/188.75 cnf('0.114.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),meet(X3,X1)) = meet(X1,X3) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_112]).
% 188.34/188.75 cnf('0.124.0.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.24.2.0','0.50.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.124.1.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.124.0.0']),
% 188.34/188.75 [weight('<9,50,24,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.124.1.1',plain,
% 188.34/188.75 ( join(meet(X1,X2),X3) = meet(join(X2,X3),join(meet(X1,X2),X3)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.124.1.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.124.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.124.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_122]).
% 188.34/188.75 cnf('0.141.0.0',plain,
% 188.34/188.75 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X3,X2))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.48.2.0','0.55.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.141.1.0',plain,
% 188.34/188.75 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X3,X2))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.141.0.0']),
% 188.34/188.75 [weight('<9,55,48,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.141.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X1,join(X3,X2))) = join(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_139]).
% 188.34/188.75 cnf('0.148.0.0',plain,
% 188.34/188.75 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X2,X1)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.24.2.0','0.58.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.148.1.0',plain,
% 188.34/188.75 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X2,X1)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.148.0.0']),
% 188.34/188.75 [weight('<9,58,24,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.148.1.1',plain,
% 188.34/188.75 ( join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,meet(X2,X3))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.148.1.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.148.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X2,meet(X1,X3))) = join(X2,meet(X1,X3)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.148.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_146]).
% 188.34/188.75 cnf('0.153.0.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),X3) = meet(join(X1,X2),meet(X3,join(X2,X1))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.62.2.0','0.31.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.2','L')]).
% 188.34/188.75 cnf('0.153.1.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),X3) = meet(join(X1,X2),meet(X3,join(X2,X1))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.153.0.0']),
% 188.34/188.75 [weight('<9,62,31,[1,0,0,4]>')]).
% 188.34/188.75 cnf('0.153.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),meet(X3,join(X2,X1))) = meet(join(X1,X2),X3) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_151]).
% 188.34/188.75 cnf('0.157.0.0',plain,
% 188.34/188.75 ( join(X1,X2) = meet(join(X2,X1),join(X1,join(X2,X3))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.99.2.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.157.1.0',plain,
% 188.34/188.75 ( join(X1,X2) = meet(join(X2,X1),join(X1,join(X2,X3))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.157.0.0']),
% 188.34/188.75 [weight('<9,99,7,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.157.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X2,join(X1,X3))) = join(X2,X1) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_155]).
% 188.34/188.75 cnf('0.167.0.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.106.2.0','0.2.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.167.1.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.167.0.0']),
% 188.34/188.75 [weight('<9,106,2,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.167.2.0',plain,
% 188.34/188.75 ( meet(X1,join(meet(X1,X2),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.167.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_165]).
% 188.34/188.75 cnf('0.178.0.0',plain,
% 188.34/188.75 ( meet(meet(X1,X2),X3) = meet(join(X2,X4),meet(meet(X1,X2),X3)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.112.2.0','0.109.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.178.0.1',plain,
% 188.34/188.75 ( meet(X1,meet(X2,X3)) = meet(join(X2,X4),meet(meet(X1,X2),X3)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.178.0.0','0.12.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.178.0.2',plain,
% 188.34/188.75 ( meet(X1,meet(X2,X3)) = meet(join(X2,X4),meet(X1,meet(X2,X3))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.178.0.1','0.12.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.2','L')]).
% 188.34/188.75 cnf('0.178.1.0',plain,
% 188.34/188.75 ( meet(X1,meet(X2,X3)) = meet(join(X2,X4),meet(X1,meet(X2,X3))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.178.0.2']),
% 188.34/188.75 [weight('<9,112,109,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.178.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),meet(X3,meet(X1,X4))) = meet(X3,meet(X1,X4)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.178.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_176]).
% 188.34/188.75 cnf('0.181.0.0',plain,
% 188.34/188.75 ( meet(meet(X1,X2),X3) = meet(join(X1,X4),meet(X3,meet(X1,X2))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.114.2.0','0.107.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.181.0.1',plain,
% 188.34/188.75 ( meet(X1,meet(X2,X3)) = meet(join(X1,X4),meet(X3,meet(X1,X2))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.181.0.0','0.12.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.181.1.0',plain,
% 188.34/188.75 ( meet(X1,meet(X2,X3)) = meet(join(X1,X4),meet(X3,meet(X1,X2))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.181.0.1']),
% 188.34/188.75 [weight('<9,114,107,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.181.1.1',plain,
% 188.34/188.75 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.181.1.0','0.178.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.181.2.0',plain,
% 188.34/188.75 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 188.34/188.75 inference(activate,[status(thm)],['0.181.1.1']),
% 188.34/188.75 [equation_4]).
% 188.34/188.75 cnf('0.183.0.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.124.2.0','0.2.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.183.1.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.183.0.0']),
% 188.34/188.75 [weight('<9,124,2,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.183.2.0',plain,
% 188.34/188.75 ( meet(X1,join(meet(X2,X1),meet(X1,X3))) = join(meet(X2,X1),meet(X1,X3)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.183.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_179]).
% 188.34/188.75 cnf('0.189.0.0',plain,
% 188.34/188.75 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X1,X2)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.141.2.0','0.2.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.2','L')]).
% 188.34/188.75 cnf('0.189.1.0',plain,
% 188.34/188.75 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X1,X2)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.189.0.0']),
% 188.34/188.75 [weight('<9,141,2,[1,0,0,6]>')]).
% 188.34/188.75 cnf('0.189.1.1',plain,
% 188.34/188.75 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,meet(X2,X3))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.189.1.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.189.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X2,X3)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.189.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_185]).
% 188.34/188.75 cnf('0.217.0.0',plain,
% 188.34/188.75 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.8.2.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.217.1.0',plain,
% 188.34/188.75 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.217.0.0']),
% 188.34/188.75 [weight('<10,8,7,[1,0,0,0]>')]).
% 188.34/188.75 cnf('0.217.2.0',plain,
% 188.34/188.75 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 188.34/188.75 inference(activate,[status(thm)],['0.217.1.0']),
% 188.34/188.75 [equation_7]).
% 188.34/188.75 cnf('0.218.0.0',plain,
% 188.34/188.75 ( join(join(X1,meet(X2,X3)),join(X4,X2)) = join(X4,join(X2,X1)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.217.2.0','0.58.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.218.0.1',plain,
% 188.34/188.75 ( join(X1,join(meet(X2,X3),join(X4,X2))) = join(X4,join(X2,X1)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.218.0.0','0.8.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.218.1.0',plain,
% 188.34/188.75 ( join(X1,join(meet(X2,X3),join(X4,X2))) = join(X4,join(X2,X1)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.218.0.1']),
% 188.34/188.75 [weight('<9,217,58,[1,0,0,2]>')]).
% 188.34/188.75 cnf('0.218.1.1',plain,
% 188.34/188.75 ( join(X1,join(X2,join(meet(X2,X3),X4))) = join(X4,join(X2,X1)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.218.1.0','0.217.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.218.1.2',plain,
% 188.34/188.75 ( join(X1,join(X2,X4)) = join(X4,join(X2,X1)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.218.1.1','0.46.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.218.2.0',plain,
% 188.34/188.75 ( join(X1,join(X2,X3)) = join(X3,join(X2,X1)) ),
% 188.34/188.75 inference(activate,[status(thm)],['0.218.1.2']),
% 188.34/188.75 [equation_8]).
% 188.34/188.75 cnf('0.230.0.0',plain,
% 188.34/188.75 ( one = join(meet(join(X1,X2),X3),complement(meet(X1,X3))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.42.2.0','0.47.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.1','L')]).
% 188.34/188.75 cnf('0.230.1.0',plain,
% 188.34/188.75 ( one = join(meet(join(X1,X2),X3),complement(meet(X1,X3))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.230.0.0']),
% 188.34/188.75 [weight('<10,47,42,[0,0,0,3]>')]).
% 188.34/188.75 cnf('0.230.1.1',plain,
% 188.34/188.75 ( one = join(complement(meet(X1,X3)),meet(join(X1,X2),X3)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.230.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.230.2.0',plain,
% 188.34/188.75 ( join(complement(meet(X1,X2)),meet(join(X1,X3),X2)) = one ),
% 188.34/188.75 inference(orient,[status(thm)],['0.230.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_222]).
% 188.34/188.75 cnf('0.317.0.0',plain,
% 188.34/188.75 ( one = join(complement(X1),meet(join(X1,X2),join(X1,X3))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.230.2.0','0.4.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1.1','L')]).
% 188.34/188.75 cnf('0.317.1.0',plain,
% 188.34/188.75 ( one = join(complement(X1),meet(join(X1,X2),join(X1,X3))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.317.0.0']),
% 188.34/188.75 [weight('<10,230,4,[1,0,0,2]>')]).
% 188.34/188.75 cnf('0.317.2.0',plain,
% 188.34/188.75 ( join(complement(X1),meet(join(X1,X2),join(X1,X3))) = one ),
% 188.34/188.75 inference(orient,[status(thm)],['0.317.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_309]).
% 188.34/188.75 cnf('0.337.0.0',plain,
% 188.34/188.75 ( join(join(X1,X2),X3) = join(X1,join(X2,join(meet(join(X1,X2),X4),X3))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.46.2.0','0.8.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.337.0.1',plain,
% 188.34/188.75 ( join(X1,join(X2,X3)) = join(X1,join(X2,join(meet(join(X1,X2),X4),X3))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.337.0.0','0.8.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.337.1.0',plain,
% 188.34/188.75 ( join(X1,join(X2,X3)) = join(X1,join(X2,join(meet(join(X1,X2),X4),X3))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.337.0.1']),
% 188.34/188.75 [weight('<11,46,8,[1,0,0,0]>')]).
% 188.34/188.75 cnf('0.337.2.0',plain,
% 188.34/188.75 ( join(X1,join(X2,join(meet(join(X1,X2),X3),X4))) = join(X1,join(X2,X4)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.337.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_329]).
% 188.34/188.75 cnf('0.367.0.0',plain,
% 188.34/188.75 ( join(X1,X2) = meet(join(X1,X2),join(X3,join(X1,join(X2,X4)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.61.2.0','0.8.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.2','L')]).
% 188.34/188.75 cnf('0.367.1.0',plain,
% 188.34/188.75 ( join(X1,X2) = meet(join(X1,X2),join(X3,join(X1,join(X2,X4)))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.367.0.0']),
% 188.34/188.75 [weight('<11,61,8,[1,0,0,4]>')]).
% 188.34/188.75 cnf('0.367.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X3,join(X1,join(X2,X4)))) = join(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.367.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_359]).
% 188.34/188.75 cnf('0.501.0.0',plain,
% 188.34/188.75 ( join(X1,meet(X2,meet(X3,X4))) = meet(join(X1,meet(X2,meet(X3,X4))),join(X1,X3)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.141.2.0','0.59.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.2','L')]).
% 188.34/188.75 cnf('0.501.1.0',plain,
% 188.34/188.75 ( join(X1,meet(X2,meet(X3,X4))) = meet(join(X1,meet(X2,meet(X3,X4))),join(X1,X3)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.501.0.0']),
% 188.34/188.75 [weight('<11,141,59,[1,0,0,6]>')]).
% 188.34/188.75 cnf('0.501.1.1',plain,
% 188.34/188.75 ( join(X1,meet(X2,meet(X3,X4))) = meet(join(X1,X3),join(X1,meet(X2,meet(X3,X4)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.501.1.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.501.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X1,meet(X3,meet(X2,X4)))) = join(X1,meet(X3,meet(X2,X4))) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.501.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_493]).
% 188.34/188.75 cnf('0.555.0.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),meet(X3,join(X2,join(X1,X4)))) = meet(join(X1,X2),meet(X3,join(X2,X1))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.52.2.0','0.157.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.2','L')]).
% 188.34/188.75 cnf('0.555.0.1',plain,
% 188.34/188.75 ( meet(join(X1,X2),meet(X3,join(X2,join(X1,X4)))) = meet(join(X1,X2),X3) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.555.0.0','0.153.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.555.1.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),meet(X3,join(X2,join(X1,X4)))) = meet(join(X1,X2),X3) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.555.0.1']),
% 188.34/188.75 [weight('<11,157,52,[0,0,0,4]>')]).
% 188.34/188.75 cnf('0.555.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),meet(X3,join(X2,join(X1,X4)))) = meet(join(X1,X2),X3) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.555.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_547]).
% 188.34/188.75 cnf('0.1541.0.0',plain,
% 188.34/188.75 ( meet(X1,meet(join(X2,X3),join(X2,X4))) = meet(X1,join(X2,meet(join(X3,X2),join(X4,meet(X1,X2))))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.11.2.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.2.1','L')]).
% 188.34/188.75 cnf('0.1541.1.0',plain,
% 188.34/188.75 ( meet(X1,meet(join(X2,X3),join(X2,X4))) = meet(X1,join(X2,meet(join(X3,X2),join(X4,meet(X1,X2))))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.1541.0.0']),
% 188.34/188.75 [weight('<13,11,7,[1,0,0,5]>')]).
% 188.34/188.75 cnf('0.1541.2.0',plain,
% 188.34/188.75 ( meet(X1,join(X2,meet(join(X3,X2),join(X4,meet(X1,X2))))) = meet(X1,meet(join(X2,X3),join(X2,X4))) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.1541.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_1531]).
% 188.34/188.75 cnf('0.1542.0.0',plain,
% 188.34/188.75 ( meet(X1,meet(join(complement(X1),X2),join(complement(X1),X3))) = meet(X1,join(complement(X1),meet(join(X2,complement(X1)),join(X3,zero)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.1541.2.0','0.13.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.2.2.2','L')]).
% 188.34/188.75 cnf('0.1542.0.1',plain,
% 188.34/188.75 ( meet(X1,meet(join(complement(X1),X2),join(complement(X1),X3))) = meet(X1,join(complement(X1),meet(join(X2,complement(X1)),X3))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.1542.0.0','0.15.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.2.2.2','L')]).
% 188.34/188.75 cnf('0.1542.1.0',plain,
% 188.34/188.75 ( meet(X1,meet(join(complement(X1),X2),join(complement(X1),X3))) = meet(X1,join(complement(X1),meet(join(X2,complement(X1)),X3))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.1542.0.1']),
% 188.34/188.75 [weight('<11,1541,13,[1,0,0,10]>')]).
% 188.34/188.75 cnf('0.1542.2.0',plain,
% 188.34/188.75 ( meet(X1,join(complement(X1),meet(join(X2,complement(X1)),X3))) = meet(X1,meet(join(complement(X1),X2),join(complement(X1),X3))) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.1542.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_1532]).
% 188.34/188.75 cnf('0.1549.0.0',plain,
% 188.34/188.75 ( meet(X1,meet(join(X2,X3),join(X2,X4))) = meet(X1,join(X2,meet(join(X2,X3),join(X4,meet(X2,X1))))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.11.2.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.2.2.2','L')]).
% 188.34/188.75 cnf('0.1549.1.0',plain,
% 188.34/188.75 ( meet(X1,meet(join(X2,X3),join(X2,X4))) = meet(X1,join(X2,meet(join(X2,X3),join(X4,meet(X2,X1))))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.1549.0.0']),
% 188.34/188.75 [weight('<13,11,10,[1,0,0,10]>')]).
% 188.34/188.75 cnf('0.1549.2.0',plain,
% 188.34/188.75 ( meet(X1,join(X2,meet(join(X2,X3),join(X4,meet(X2,X1))))) = meet(X1,meet(join(X2,X3),join(X2,X4))) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.1549.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_1538]).
% 188.34/188.75 cnf('0.1550.0.0',plain,
% 188.34/188.75 ( meet(complement(X1),meet(join(X1,X2),join(X1,X3))) = meet(complement(X1),join(X1,meet(join(X1,X2),join(X3,zero)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.1549.2.0','0.13.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.2.2.2','L')]).
% 188.34/188.75 cnf('0.1550.0.1',plain,
% 188.34/188.75 ( meet(complement(X1),meet(join(X1,X2),join(X1,X3))) = meet(complement(X1),join(X1,meet(join(X1,X2),X3))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.1550.0.0','0.15.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.2.2.2','L')]).
% 188.34/188.75 cnf('0.1550.1.0',plain,
% 188.34/188.75 ( meet(complement(X1),meet(join(X1,X2),join(X1,X3))) = meet(complement(X1),join(X1,meet(join(X1,X2),X3))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.1550.0.1']),
% 188.34/188.75 [weight('<10,1549,13,[1,0,0,10]>')]).
% 188.34/188.75 cnf('0.1550.2.0',plain,
% 188.34/188.75 ( meet(complement(X1),join(X1,meet(join(X1,X2),X3))) = meet(complement(X1),meet(join(X1,X2),join(X1,X3))) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.1550.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_1539]).
% 188.34/188.75 cnf('0.2218.0.0',plain,
% 188.34/188.75 ( join(X1,meet(join(X2,meet(X1,X3)),X4)) = meet(join(X1,X2),join(X1,meet(join(X2,meet(X1,X3)),X4))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.189.2.0','0.58.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.2218.1.0',plain,
% 188.34/188.75 ( join(X1,meet(join(X2,meet(X1,X3)),X4)) = meet(join(X1,X2),join(X1,meet(join(X2,meet(X1,X3)),X4))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.2218.0.0']),
% 188.34/188.75 [weight('<13,189,58,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.2218.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X1,meet(join(X2,meet(X1,X3)),X4))) = join(X1,meet(join(X2,meet(X1,X3)),X4)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.2218.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_2202]).
% 188.34/188.75 cnf('0.2775.0.0',plain,
% 188.34/188.75 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,meet(join(X2,X1),X3)),join(X2,join(X1,X4))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.367.2.0','0.337.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.2775.1.0',plain,
% 188.34/188.75 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,meet(join(X2,X1),X3)),join(X2,join(X1,X4))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.2775.0.0']),
% 188.34/188.75 [weight('<13,367,337,[1,0,0,4]>')]).
% 188.34/188.75 cnf('0.2775.2.0',plain,
% 188.34/188.75 ( meet(join(X1,meet(join(X2,X1),X3)),join(X2,join(X1,X4))) = join(X1,meet(join(X2,X1),X3)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.2775.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_2757]).
% 188.34/188.75 cnf('0.3340.0.0',plain,
% 188.34/188.75 ( join(X1,meet(X2,meet(join(X3,X1),X4))) = meet(join(X1,X3),join(X1,meet(X2,meet(join(X3,X1),X4)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.501.2.0','0.31.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.3340.1.0',plain,
% 188.34/188.75 ( join(X1,meet(X2,meet(join(X3,X1),X4))) = meet(join(X1,X3),join(X1,meet(X2,meet(join(X3,X1),X4)))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.3340.0.0']),
% 188.34/188.75 [weight('<13,501,31,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.3340.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X1,meet(X3,meet(join(X2,X1),X4)))) = join(X1,meet(X3,meet(join(X2,X1),X4))) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.3340.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_3322]).
% 188.34/188.75 cnf('0.4388.0.0',plain,
% 188.34/188.75 ( meet(complement(X1),meet(join(X1,X2),join(X1,complement(join(X1,X2))))) = meet(complement(X1),join(X1,zero)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.1550.2.0','0.13.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.2','L')]).
% 188.34/188.75 cnf('0.4388.0.1',plain,
% 188.34/188.75 ( meet(complement(X1),meet(join(X1,X2),join(X1,complement(join(X1,X2))))) = meet(complement(X1),X1) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.4388.0.0','0.15.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.2','L')]).
% 188.34/188.75 cnf('0.4388.1.0',plain,
% 188.34/188.75 ( meet(complement(X1),meet(join(X1,X2),join(X1,complement(join(X1,X2))))) = meet(complement(X1),X1) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.4388.0.1']),
% 188.34/188.75 [weight('<13,1550,13,[1,0,0,5]>')]).
% 188.34/188.75 cnf('0.4388.1.1',plain,
% 188.34/188.75 ( meet(complement(X1),meet(join(X1,X2),join(X1,complement(join(X1,X2))))) = meet(X1,complement(X1)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.4388.1.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.4388.1.2',plain,
% 188.34/188.75 ( meet(complement(X1),meet(join(X1,X2),join(X1,complement(join(X1,X2))))) = zero ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.4388.1.1','0.13.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.4388.2.0',plain,
% 188.34/188.75 ( meet(complement(X1),meet(join(X1,X2),join(X1,complement(join(X1,X2))))) = zero ),
% 188.34/188.75 inference(orient,[status(thm)],['0.4388.1.2',theory(equality)]),
% 188.34/188.75 [u,rule_4363]).
% 188.34/188.75 cnf('0.4389.0.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X1,complement(join(X1,X2)))) = ifeq(join(complement(X1),meet(join(X1,X2),join(X1,complement(join(X1,X2))))),one,ifeq(zero,zero,complement(complement(X1)),meet(join(X1,X2),join(X1,complement(join(X1,X2))))),meet(join(X1,X2),join(X1,complement(join(X1,X2))))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.6.2.0','0.4388.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.3.1','L')]).
% 188.34/188.75 cnf('0.4389.0.1',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X1,complement(join(X1,X2)))) = ifeq(one,one,ifeq(zero,zero,complement(complement(X1)),meet(join(X1,X2),join(X1,complement(join(X1,X2))))),meet(join(X1,X2),join(X1,complement(join(X1,X2))))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.4389.0.0','0.317.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.1','L')]).
% 188.34/188.75 cnf('0.4389.0.2',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X1,complement(join(X1,X2)))) = ifeq(zero,zero,complement(complement(X1)),meet(join(X1,X2),join(X1,complement(join(X1,X2))))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.4389.0.1','0.5.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.4389.0.3',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X1,complement(join(X1,X2)))) = complement(complement(X1)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.4389.0.2','0.5.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.4389.1.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X1,complement(join(X1,X2)))) = complement(complement(X1)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.4389.0.3']),
% 188.34/188.75 [weight('<10,4388,6,[0,0,0,6]>')]).
% 188.34/188.75 cnf('0.4389.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X1,complement(join(X1,X2)))) = complement(complement(X1)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.4389.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_4364]).
% 188.34/188.75 cnf('0.4390.0.0',plain,
% 188.34/188.75 ( complement(complement(X1)) = meet(X1,join(X1,complement(join(X1,X1)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.4389.2.0','0.1.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.4390.0.1',plain,
% 188.34/188.75 ( complement(complement(X1)) = X1 ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.4390.0.0','0.4.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.4390.1.0',plain,
% 188.34/188.75 ( complement(complement(X1)) = X1 ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.4390.0.1']),
% 188.34/188.75 [weight('<3,4389,1,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.4390.2.0',plain,
% 188.34/188.75 ( complement(complement(X1)) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.4390.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_4365]).
% 188.34/188.75 cnf('0.4393.0.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X1,complement(join(X1,X2)))) = complement(complement(X1)) ),
% 188.34/188.75 inference(interreduction_right,[status(thm)],['0.4389.2.0'])).
% 188.34/188.75 cnf('0.4393.0.1',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X1,complement(join(X1,X2)))) = X1 ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.4393.0.0','0.4390.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.4393.1.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X1,complement(join(X1,X2)))) = X1 ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.4393.0.1']),
% 188.34/188.75 [weight('<10,4389,4390,[0,0,0,0]>')]).
% 188.34/188.75 cnf('0.4393.2.0',plain,
% 188.34/188.75 ( meet(join(X1,X2),join(X1,complement(join(X1,X2)))) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.4393.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_4368]).
% 188.34/188.75 cnf('0.4394.0.0',plain,
% 188.34/188.75 ( meet(X1,join(X2,complement(join(X2,X1)))) = meet(X1,X2) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.49.2.0','0.4393.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.4394.1.0',plain,
% 188.34/188.75 ( meet(X1,join(X2,complement(join(X2,X1)))) = meet(X1,X2) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.4394.0.0']),
% 188.34/188.75 [weight('<8,4393,49,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.4394.2.0',plain,
% 188.34/188.75 ( meet(X1,join(X2,complement(join(X2,X1)))) = meet(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.4394.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_4369]).
% 188.34/188.75 cnf('0.4395.0.0',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(X1,join(X2,complement(join(X1,X2)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.4394.2.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.2.1','L')]).
% 188.34/188.75 cnf('0.4395.1.0',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(X1,join(X2,complement(join(X1,X2)))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.4395.0.0']),
% 188.34/188.75 [weight('<8,4394,7,[1,0,0,5]>')]).
% 188.34/188.75 cnf('0.4395.2.0',plain,
% 188.34/188.75 ( meet(X1,join(X2,complement(join(X1,X2)))) = meet(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.4395.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_4370]).
% 188.34/188.75 cnf('0.4396.0.0',plain,
% 188.34/188.75 ( meet(X1,meet(X1,X2)) = meet(X1,join(meet(X1,X2),complement(X1))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.4395.2.0','0.2.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.2.1','L')]).
% 188.34/188.75 cnf('0.4396.0.1',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),complement(X1))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.4396.0.0','0.27.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.4396.1.0',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),complement(X1))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.4396.0.1']),
% 188.34/188.75 [weight('<8,4395,2,[1,0,0,5]>')]).
% 188.34/188.75 cnf('0.4396.1.1',plain,
% 188.34/188.75 ( meet(X1,X2) = meet(X1,join(complement(X1),meet(X1,X2))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.4396.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.2','L')]).
% 188.34/188.75 cnf('0.4396.2.0',plain,
% 188.34/188.75 ( meet(X1,join(complement(X1),meet(X1,X2))) = meet(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.4396.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_4371]).
% 188.34/188.75 cnf('0.4533.0.0',plain,
% 188.34/188.75 ( meet(X1,join(meet(X1,X2),meet(X1,X3))) = meet(X1,join(complement(X1),join(meet(X1,X2),meet(X1,X3)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.4396.2.0','0.167.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.2','L')]).
% 188.34/188.75 cnf('0.4533.0.1',plain,
% 188.34/188.75 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(complement(X1),join(meet(X1,X2),meet(X1,X3)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.4533.0.0','0.167.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.4533.1.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(complement(X1),join(meet(X1,X2),meet(X1,X3)))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.4533.0.1']),
% 188.34/188.75 [weight('<12,4396,167,[1,0,0,5]>')]).
% 188.34/188.75 cnf('0.4533.2.0',plain,
% 188.34/188.75 ( meet(X1,join(complement(X1),join(meet(X1,X2),meet(X1,X3)))) = join(meet(X1,X2),meet(X1,X3)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.4533.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_4508]).
% 188.34/188.75 cnf('0.5225.0.0',plain,
% 188.34/188.75 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,meet(join(X1,X2),X3)),join(X2,join(X1,X4))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.2775.2.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1.2.1','L')]).
% 188.34/188.75 cnf('0.5225.1.0',plain,
% 188.34/188.75 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,meet(join(X1,X2),X3)),join(X2,join(X1,X4))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5225.0.0']),
% 188.34/188.75 [weight('<13,2775,7,[1,0,0,4]>')]).
% 188.34/188.75 cnf('0.5225.2.0',plain,
% 188.34/188.75 ( meet(join(X1,meet(join(X1,X2),X3)),join(X2,join(X1,X4))) = join(X1,meet(join(X2,X1),X3)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5225.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_5188]).
% 188.34/188.75 cnf('0.5345.0.0',plain,
% 188.34/188.75 ( join(X1,complement(join(X1,X2))) = ifeq(join(X2,join(X1,complement(join(X1,X2)))),one,ifeq(meet(X2,X1),zero,complement(X2),join(X1,complement(join(X1,X2)))),join(X1,complement(join(X1,X2)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.6.2.0','0.4394.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.3.1','L')]).
% 188.34/188.75 cnf('0.5345.0.1',plain,
% 188.34/188.75 ( join(X1,complement(join(X1,X2))) = ifeq(one,one,ifeq(meet(X2,X1),zero,complement(X2),join(X1,complement(join(X1,X2)))),join(X1,complement(join(X1,X2)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5345.0.0','0.70.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.1','L')]).
% 188.34/188.75 cnf('0.5345.0.2',plain,
% 188.34/188.75 ( join(X1,complement(join(X1,X2))) = ifeq(meet(X2,X1),zero,complement(X2),join(X1,complement(join(X1,X2)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5345.0.1','0.5.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.5345.1.0',plain,
% 188.34/188.75 ( join(X1,complement(join(X1,X2))) = ifeq(meet(X2,X1),zero,complement(X2),join(X1,complement(join(X1,X2)))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5345.0.2']),
% 188.34/188.75 [weight('<13,4394,6,[0,0,0,6]>')]).
% 188.34/188.75 cnf('0.5345.2.0',plain,
% 188.34/188.75 ( ifeq(meet(X1,X2),zero,complement(X1),join(X2,complement(join(X2,X1)))) = join(X2,complement(join(X2,X1))) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5345.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_5293]).
% 188.34/188.75 cnf('0.5347.0.0',plain,
% 188.34/188.75 ( join(meet(complement(X1),X2),complement(join(meet(complement(X1),X2),X1))) = ifeq(zero,zero,complement(X1),join(meet(complement(X1),X2),complement(join(meet(complement(X1),X2),X1)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5345.2.0','0.33.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.5347.0.1',plain,
% 188.34/188.75 ( join(meet(complement(X1),X2),complement(join(meet(complement(X1),X2),X1))) = complement(X1) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5347.0.0','0.5.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.5347.1.0',plain,
% 188.34/188.75 ( join(meet(complement(X1),X2),complement(join(meet(complement(X1),X2),X1))) = complement(X1) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5347.0.1']),
% 188.34/188.75 [weight('<12,5345,33,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.5347.1.1',plain,
% 188.34/188.75 ( join(meet(complement(X1),X2),complement(join(X1,meet(complement(X1),X2)))) = complement(X1) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5347.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.1','L')]).
% 188.34/188.75 cnf('0.5347.2.0',plain,
% 188.34/188.75 ( join(meet(complement(X1),X2),complement(join(X1,meet(complement(X1),X2)))) = complement(X1) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5347.1.1',theory(equality)]),
% 188.34/188.75 [u,rule_5295]).
% 188.34/188.75 cnf('0.5348.0.0',plain,
% 188.34/188.75 ( join(X1,complement(join(X2,meet(complement(X2),X1)))) = join(X1,complement(X2)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.50.2.0','0.5347.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.5348.1.0',plain,
% 188.34/188.75 ( join(X1,complement(join(X2,meet(complement(X2),X1)))) = join(X1,complement(X2)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5348.0.0']),
% 188.34/188.75 [weight('<9,5347,50,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.5348.2.0',plain,
% 188.34/188.75 ( join(X1,complement(join(X2,meet(complement(X2),X1)))) = join(X1,complement(X2)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5348.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_5296]).
% 188.34/188.75 cnf('0.5349.0.0',plain,
% 188.34/188.75 ( join(X1,complement(X2)) = join(X1,complement(join(X2,meet(X1,complement(X2))))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5348.2.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.1.2','L')]).
% 188.34/188.75 cnf('0.5349.1.0',plain,
% 188.34/188.75 ( join(X1,complement(X2)) = join(X1,complement(join(X2,meet(X1,complement(X2))))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5349.0.0']),
% 188.34/188.75 [weight('<9,5348,10,[1,0,0,5]>')]).
% 188.34/188.75 cnf('0.5349.2.0',plain,
% 188.34/188.75 ( join(X1,complement(join(X2,meet(X1,complement(X2))))) = join(X1,complement(X2)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5349.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_5297]).
% 188.34/188.75 cnf('0.5351.0.0',plain,
% 188.34/188.75 ( join(X1,complement(complement(X2))) = join(X1,complement(join(complement(X2),meet(X1,X2)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5349.2.0','0.4390.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.1.2.2','L')]).
% 188.34/188.75 cnf('0.5351.0.1',plain,
% 188.34/188.75 ( join(X1,X2) = join(X1,complement(join(complement(X2),meet(X1,X2)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5351.0.0','0.4390.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.5351.1.0',plain,
% 188.34/188.75 ( join(X1,X2) = join(X1,complement(join(complement(X2),meet(X1,X2)))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5351.0.1']),
% 188.34/188.75 [weight('<9,5349,4390,[1,0,0,7]>')]).
% 188.34/188.75 cnf('0.5351.2.0',plain,
% 188.34/188.75 ( join(X1,complement(join(complement(X2),meet(X1,X2)))) = join(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5351.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_5299]).
% 188.34/188.75 cnf('0.5352.0.0',plain,
% 188.34/188.75 ( join(X1,join(X1,X2)) = join(X1,complement(join(complement(join(X1,X2)),X1))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5351.2.0','0.4.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.1.2','L')]).
% 188.34/188.75 cnf('0.5352.0.1',plain,
% 188.34/188.75 ( join(X1,X2) = join(X1,complement(join(complement(join(X1,X2)),X1))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5352.0.0','0.25.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.5352.1.0',plain,
% 188.34/188.75 ( join(X1,X2) = join(X1,complement(join(complement(join(X1,X2)),X1))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5352.0.1']),
% 188.34/188.75 [weight('<9,5351,4,[1,0,0,6]>')]).
% 188.34/188.75 cnf('0.5352.1.1',plain,
% 188.34/188.75 ( join(X1,X2) = join(X1,complement(join(X1,complement(join(X1,X2))))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5352.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.2.1','L')]).
% 188.34/188.75 cnf('0.5352.2.0',plain,
% 188.34/188.75 ( join(X1,complement(join(X1,complement(join(X1,X2))))) = join(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5352.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_5300]).
% 188.34/188.75 cnf('0.5353.0.0',plain,
% 188.34/188.75 ( join(X1,join(X2,X1)) = join(X1,complement(join(complement(join(X2,X1)),X1))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5351.2.0','0.24.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.1.2','L')]).
% 188.34/188.75 cnf('0.5353.0.1',plain,
% 188.34/188.75 ( join(X1,X2) = join(X1,complement(join(complement(join(X2,X1)),X1))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5353.0.0','0.31.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.5353.1.0',plain,
% 188.34/188.75 ( join(X1,X2) = join(X1,complement(join(complement(join(X2,X1)),X1))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5353.0.1']),
% 188.34/188.75 [weight('<9,5351,24,[1,0,0,6]>')]).
% 188.34/188.75 cnf('0.5353.1.1',plain,
% 188.34/188.75 ( join(X1,X2) = join(X1,complement(join(X1,complement(join(X2,X1))))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5353.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.2.1','L')]).
% 188.34/188.75 cnf('0.5353.2.0',plain,
% 188.34/188.75 ( join(X1,complement(join(X1,complement(join(X2,X1))))) = join(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5353.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_5301]).
% 188.34/188.75 cnf('0.5369.0.0',plain,
% 188.34/188.75 ( complement(complement(X1)) = join(meet(X1,X2),complement(join(complement(X1),meet(complement(complement(X1)),X2)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5347.2.0','0.4390.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1.1','L')]).
% 188.34/188.75 cnf('0.5369.0.1',plain,
% 188.34/188.75 ( X1 = join(meet(X1,X2),complement(join(complement(X1),meet(complement(complement(X1)),X2)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5369.0.0','0.4390.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.5369.0.2',plain,
% 188.34/188.75 ( X1 = join(meet(X1,X2),complement(join(complement(X1),meet(X1,X2)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5369.0.1','0.4390.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.2.1.2.1','L')]).
% 188.34/188.75 cnf('0.5369.1.0',plain,
% 188.34/188.75 ( X1 = join(meet(X1,X2),complement(join(complement(X1),meet(X1,X2)))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5369.0.2']),
% 188.34/188.75 [weight('<11,5347,4390,[1,0,0,2]>')]).
% 188.34/188.75 cnf('0.5369.2.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),complement(join(complement(X1),meet(X1,X2)))) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5369.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_5317]).
% 188.34/188.75 cnf('0.5393.0.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),X2) = join(meet(X1,X2),complement(join(meet(X1,X2),complement(X2)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5353.2.0','0.26.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.1.2.1','L')]).
% 188.34/188.75 cnf('0.5393.1.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),X2) = join(meet(X1,X2),complement(join(meet(X1,X2),complement(X2)))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5393.0.0']),
% 188.34/188.75 [weight('<11,5353,26,[1,0,0,6]>')]).
% 188.34/188.75 cnf('0.5393.1.1',plain,
% 188.34/188.75 ( join(X2,meet(X1,X2)) = join(meet(X1,X2),complement(join(meet(X1,X2),complement(X2)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5393.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.5393.1.2',plain,
% 188.34/188.75 ( X2 = join(meet(X1,X2),complement(join(meet(X1,X2),complement(X2)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5393.1.1','0.26.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.5393.1.3',plain,
% 188.34/188.75 ( X2 = join(meet(X1,X2),complement(join(complement(X2),meet(X1,X2)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5393.1.2','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.2.1','L')]).
% 188.34/188.75 cnf('0.5393.2.0',plain,
% 188.34/188.75 ( join(meet(X1,X2),complement(join(complement(X2),meet(X1,X2)))) = X2 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5393.1.3',theory(equality)]),
% 188.34/188.75 [x,rule_5341]).
% 188.34/188.75 cnf('0.5460.0.0',plain,
% 188.34/188.75 ( join(meet(X1,complement(X2)),complement(join(meet(X1,complement(X2)),X2))) = ifeq(zero,zero,complement(X2),join(meet(X1,complement(X2)),complement(join(meet(X1,complement(X2)),X2)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5345.2.0','0.38.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.5460.0.1',plain,
% 188.34/188.75 ( join(meet(X1,complement(X2)),complement(join(meet(X1,complement(X2)),X2))) = complement(X2) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5460.0.0','0.5.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.5460.1.0',plain,
% 188.34/188.75 ( join(meet(X1,complement(X2)),complement(join(meet(X1,complement(X2)),X2))) = complement(X2) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5460.0.1']),
% 188.34/188.75 [weight('<12,5345,38,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.5460.1.1',plain,
% 188.34/188.75 ( join(meet(X1,complement(X2)),complement(join(X2,meet(X1,complement(X2))))) = complement(X2) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5460.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.1','L')]).
% 188.34/188.75 cnf('0.5460.2.0',plain,
% 188.34/188.75 ( join(meet(X1,complement(X2)),complement(join(X2,meet(X1,complement(X2))))) = complement(X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5460.1.1',theory(equality)]),
% 188.34/188.75 [u,rule_5408]).
% 188.34/188.75 cnf('0.5463.0.0',plain,
% 188.34/188.75 ( join(complement(join(X1,X2)),complement(join(complement(join(X1,X2)),X1))) = ifeq(zero,zero,complement(X1),join(complement(join(X1,X2)),complement(join(complement(join(X1,X2)),X1)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5345.2.0','0.43.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.5463.0.1',plain,
% 188.34/188.75 ( join(complement(join(X1,X2)),complement(join(complement(join(X1,X2)),X1))) = complement(X1) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5463.0.0','0.5.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.5463.1.0',plain,
% 188.34/188.75 ( join(complement(join(X1,X2)),complement(join(complement(join(X1,X2)),X1))) = complement(X1) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5463.0.1']),
% 188.34/188.75 [weight('<12,5345,43,[1,0,0,1]>')]).
% 188.34/188.75 cnf('0.5463.1.1',plain,
% 188.34/188.75 ( join(complement(join(X1,X2)),complement(join(X1,complement(join(X1,X2))))) = complement(X1) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5463.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.1','L')]).
% 188.34/188.75 cnf('0.5463.2.0',plain,
% 188.34/188.75 ( join(complement(join(X1,X2)),complement(join(X1,complement(join(X1,X2))))) = complement(X1) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5463.1.1',theory(equality)]),
% 188.34/188.75 [u,rule_5411]).
% 188.34/188.75 cnf('0.5464.0.0',plain,
% 188.34/188.75 ( complement(join(X1,X2)) = meet(complement(join(X1,X2)),complement(X1)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.4.2.0','0.5463.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.5464.1.0',plain,
% 188.34/188.75 ( complement(join(X1,X2)) = meet(complement(join(X1,X2)),complement(X1)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5464.0.0']),
% 188.34/188.75 [weight('<7,5463,4,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.5464.1.1',plain,
% 188.34/188.75 ( complement(join(X1,X2)) = meet(complement(X1),complement(join(X1,X2))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5464.1.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.5464.2.0',plain,
% 188.34/188.75 ( meet(complement(X1),complement(join(X1,X2))) = complement(join(X1,X2)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5464.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_5412]).
% 188.34/188.75 cnf('0.5465.0.0',plain,
% 188.34/188.75 ( join(complement(join(X1,X2)),complement(join(X1,complement(join(X1,X2))))) = join(complement(join(X1,X2)),complement(X1)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.25.2.0','0.5463.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.5465.0.1',plain,
% 188.34/188.75 ( complement(X1) = join(complement(join(X1,X2)),complement(X1)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5465.0.0','0.5463.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.5465.1.0',plain,
% 188.34/188.75 ( complement(X1) = join(complement(join(X1,X2)),complement(X1)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5465.0.1']),
% 188.34/188.75 [weight('<7,5463,25,[0,0,0,2]>')]).
% 188.34/188.75 cnf('0.5465.1.1',plain,
% 188.34/188.75 ( complement(X1) = join(complement(X1),complement(join(X1,X2))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5465.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.5465.2.0',plain,
% 188.34/188.75 ( join(complement(X1),complement(join(X1,X2))) = complement(X1) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5465.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_5413]).
% 188.34/188.75 cnf('0.5466.0.0',plain,
% 188.34/188.75 ( complement(join(X1,X2)) = meet(complement(X1),complement(join(X2,X1))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5464.2.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.1','L')]).
% 188.34/188.75 cnf('0.5466.1.0',plain,
% 188.34/188.75 ( complement(join(X1,X2)) = meet(complement(X1),complement(join(X2,X1))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5466.0.0']),
% 188.34/188.75 [weight('<7,5464,7,[1,0,0,4]>')]).
% 188.34/188.75 cnf('0.5466.2.0',plain,
% 188.34/188.75 ( meet(complement(X1),complement(join(X2,X1))) = complement(join(X1,X2)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5466.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_5414]).
% 188.34/188.75 cnf('0.5468.0.0',plain,
% 188.34/188.75 ( complement(join(meet(complement(X1),X2),complement(join(X1,meet(complement(X1),X2))))) = meet(complement(meet(complement(X1),X2)),complement(complement(X1))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5464.2.0','0.5347.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.1','L')]).
% 188.34/188.75 cnf('0.5468.0.1',plain,
% 188.34/188.75 ( complement(complement(X1)) = meet(complement(meet(complement(X1),X2)),complement(complement(X1))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5468.0.0','0.5347.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.5468.0.2',plain,
% 188.34/188.75 ( X1 = meet(complement(meet(complement(X1),X2)),complement(complement(X1))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5468.0.1','0.4390.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.5468.0.3',plain,
% 188.34/188.75 ( X1 = meet(complement(meet(complement(X1),X2)),X1) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5468.0.2','0.4390.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.2','L')]).
% 188.34/188.75 cnf('0.5468.1.0',plain,
% 188.34/188.75 ( X1 = meet(complement(meet(complement(X1),X2)),X1) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5468.0.3']),
% 188.34/188.75 [weight('<7,5464,5347,[1,0,0,4]>')]).
% 188.34/188.75 cnf('0.5468.1.1',plain,
% 188.34/188.75 ( X1 = meet(X1,complement(meet(complement(X1),X2))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5468.1.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.5468.2.0',plain,
% 188.34/188.75 ( meet(X1,complement(meet(complement(X1),X2))) = X1 ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5468.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_5416]).
% 188.34/188.75 cnf('0.5477.0.0',plain,
% 188.34/188.75 ( complement(meet(X1,complement(X2))) = join(complement(meet(X1,complement(X2))),complement(complement(X2))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5465.2.0','0.5460.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.1','L')]).
% 188.34/188.75 cnf('0.5477.0.1',plain,
% 188.34/188.75 ( complement(meet(X1,complement(X2))) = join(complement(meet(X1,complement(X2))),X2) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5477.0.0','0.4390.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.2','L')]).
% 188.34/188.75 cnf('0.5477.1.0',plain,
% 188.34/188.75 ( complement(meet(X1,complement(X2))) = join(complement(meet(X1,complement(X2))),X2) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5477.0.1']),
% 188.34/188.75 [weight('<7,5465,5460,[1,0,0,4]>')]).
% 188.34/188.75 cnf('0.5477.1.1',plain,
% 188.34/188.75 ( complement(meet(X1,complement(X2))) = join(X2,complement(meet(X1,complement(X2)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5477.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.5477.2.0',plain,
% 188.34/188.75 ( join(X1,complement(meet(X2,complement(X1)))) = complement(meet(X2,complement(X1))) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5477.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_5425]).
% 188.34/188.75 cnf('0.5482.0.0',plain,
% 188.34/188.75 ( complement(join(X1,X2)) = meet(complement(X1),join(complement(join(X1,X2)),complement(join(complement(join(X1,X2)),complement(join(X1,complement(join(X1,X2)))))))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.4393.2.0','0.5463.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1','L')]).
% 188.34/188.75 cnf('0.5482.0.1',plain,
% 188.34/188.75 ( complement(join(X1,X2)) = meet(complement(X1),join(complement(join(X1,X2)),X1)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5482.0.0','0.5353.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.2','L')]).
% 188.34/188.75 cnf('0.5482.1.0',plain,
% 188.34/188.75 ( complement(join(X1,X2)) = meet(complement(X1),join(complement(join(X1,X2)),X1)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5482.0.1']),
% 188.34/188.75 [weight('<9,5463,4393,[0,0,0,1]>')]).
% 188.34/188.75 cnf('0.5482.1.1',plain,
% 188.34/188.75 ( complement(join(X1,X2)) = meet(complement(X1),join(X1,complement(join(X1,X2)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5482.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.2','L')]).
% 188.34/188.75 cnf('0.5482.2.0',plain,
% 188.34/188.75 ( meet(complement(X1),join(X1,complement(join(X1,X2)))) = complement(join(X1,X2)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5482.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_5430]).
% 188.34/188.75 cnf('0.5483.0.0',plain,
% 188.34/188.75 ( complement(join(X1,complement(join(X1,X2)))) = meet(complement(X1),join(X1,X2)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5482.2.0','0.5352.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.5483.1.0',plain,
% 188.34/188.75 ( complement(join(X1,complement(join(X1,X2)))) = meet(complement(X1),join(X1,X2)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5483.0.0']),
% 188.34/188.75 [weight('<7,5482,5352,[1,0,0,3]>')]).
% 188.34/188.75 cnf('0.5483.2.0',plain,
% 188.34/188.75 ( complement(join(X1,complement(join(X1,X2)))) = meet(complement(X1),join(X1,X2)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5483.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_5431]).
% 188.34/188.75 cnf('0.5486.0.0',plain,
% 188.34/188.75 ( meet(complement(meet(X1,X2)),join(meet(X1,X2),complement(join(complement(X1),meet(X1,X2))))) = complement(join(meet(X1,X2),complement(X1))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5483.2.0','0.5369.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1.2.1','L')]).
% 188.34/188.75 cnf('0.5486.0.1',plain,
% 188.34/188.75 ( meet(complement(meet(X1,X2)),X1) = complement(join(meet(X1,X2),complement(X1))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5486.0.0','0.5369.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.5486.1.0',plain,
% 188.34/188.75 ( meet(complement(meet(X1,X2)),X1) = complement(join(meet(X1,X2),complement(X1))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5486.0.1']),
% 188.34/188.75 [weight('<7,5483,5369,[1,0,0,4]>')]).
% 188.34/188.75 cnf('0.5486.1.1',plain,
% 188.34/188.75 ( meet(X1,complement(meet(X1,X2))) = complement(join(meet(X1,X2),complement(X1))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5486.1.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.5486.1.2',plain,
% 188.34/188.75 ( meet(X1,complement(meet(X1,X2))) = complement(join(complement(X1),meet(X1,X2))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5486.1.1','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.1','L')]).
% 188.34/188.75 cnf('0.5486.2.0',plain,
% 188.34/188.75 ( complement(join(complement(X1),meet(X1,X2))) = meet(X1,complement(meet(X1,X2))) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5486.1.2',theory(equality)]),
% 188.34/188.75 [x,rule_5434]).
% 188.34/188.75 cnf('0.5487.0.0',plain,
% 188.34/188.75 ( meet(complement(meet(X1,X2)),join(meet(X1,X2),complement(join(complement(X2),meet(X1,X2))))) = complement(join(meet(X1,X2),complement(X2))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5483.2.0','0.5393.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.1.2.1','L')]).
% 188.34/188.75 cnf('0.5487.0.1',plain,
% 188.34/188.75 ( meet(complement(meet(X1,X2)),X2) = complement(join(meet(X1,X2),complement(X2))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5487.0.0','0.5393.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.5487.1.0',plain,
% 188.34/188.75 ( meet(complement(meet(X1,X2)),X2) = complement(join(meet(X1,X2),complement(X2))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5487.0.1']),
% 188.34/188.75 [weight('<7,5483,5393,[1,0,0,4]>')]).
% 188.34/188.75 cnf('0.5487.1.1',plain,
% 188.34/188.75 ( meet(X2,complement(meet(X1,X2))) = complement(join(meet(X1,X2),complement(X2))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5487.1.0','0.10.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.5487.1.2',plain,
% 188.34/188.75 ( meet(X2,complement(meet(X1,X2))) = complement(join(complement(X2),meet(X1,X2))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5487.1.1','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.1','L')]).
% 188.34/188.75 cnf('0.5487.2.0',plain,
% 188.34/188.75 ( complement(join(complement(X1),meet(X2,X1))) = meet(X1,complement(meet(X2,X1))) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5487.1.2',theory(equality)]),
% 188.34/188.75 [x,rule_5435]).
% 188.34/188.75 cnf('0.5492.0.0',plain,
% 188.34/188.75 ( join(X1,complement(join(complement(X2),meet(X1,X2)))) = join(X1,X2) ),
% 188.34/188.75 inference(interreduction_right,[status(thm)],['0.5351.2.0'])).
% 188.34/188.75 cnf('0.5492.0.1',plain,
% 188.34/188.75 ( join(X1,meet(X2,complement(meet(X1,X2)))) = join(X1,X2) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5492.0.0','0.5487.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.5492.1.0',plain,
% 188.34/188.75 ( join(X1,meet(X2,complement(meet(X1,X2)))) = join(X1,X2) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5492.0.1']),
% 188.34/188.75 [weight('<8,5351,5487,[0,0,0,0]>')]).
% 188.34/188.75 cnf('0.5492.2.0',plain,
% 188.34/188.75 ( join(X1,meet(X2,complement(meet(X1,X2)))) = join(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5492.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_5440]).
% 188.34/188.75 cnf('0.5535.0.0',plain,
% 188.34/188.75 ( join(complement(meet(complement(X1),X2)),X3) = join(complement(meet(complement(X1),X2)),join(X1,X3)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.50.2.0','0.5468.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.1','L')]).
% 188.34/188.75 cnf('0.5535.1.0',plain,
% 188.34/188.75 ( join(complement(meet(complement(X1),X2)),X3) = join(complement(meet(complement(X1),X2)),join(X1,X3)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5535.0.0']),
% 188.34/188.75 [weight('<9,5468,50,[0,0,0,3]>')]).
% 188.34/188.75 cnf('0.5535.1.1',plain,
% 188.34/188.75 ( join(complement(meet(complement(X1),X2)),X3) = join(X1,join(X3,complement(meet(complement(X1),X2)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5535.1.0','0.217.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','R')]).
% 188.34/188.75 cnf('0.5535.2.0',plain,
% 188.34/188.75 ( join(X1,join(X2,complement(meet(complement(X1),X3)))) = join(complement(meet(complement(X1),X3)),X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5535.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_5483]).
% 188.34/188.75 cnf('0.5620.0.0',plain,
% 188.34/188.75 ( join(complement(X1),complement(join(complement(X1),meet(X1,X2)))) = ifeq(meet(meet(X1,X2),complement(X1)),zero,complement(meet(X1,X2)),join(complement(X1),meet(X1,complement(meet(X1,X2))))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5345.2.0','0.5486.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.4.2','L')]).
% 188.34/188.75 cnf('0.5620.0.1',plain,
% 188.34/188.75 ( join(complement(X1),meet(X1,complement(meet(X1,X2)))) = ifeq(meet(meet(X1,X2),complement(X1)),zero,complement(meet(X1,X2)),join(complement(X1),meet(X1,complement(meet(X1,X2))))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5620.0.0','0.5486.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.5620.0.2',plain,
% 188.34/188.75 ( join(complement(X1),meet(X1,complement(meet(X1,X2)))) = ifeq(meet(X1,meet(X2,complement(X1))),zero,complement(meet(X1,X2)),join(complement(X1),meet(X1,complement(meet(X1,X2))))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5620.0.1','0.12.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.1','L')]).
% 188.34/188.75 cnf('0.5620.0.3',plain,
% 188.34/188.75 ( join(complement(X1),meet(X1,complement(meet(X1,X2)))) = ifeq(zero,zero,complement(meet(X1,X2)),join(complement(X1),meet(X1,complement(meet(X1,X2))))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5620.0.2','0.38.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.1','L')]).
% 188.34/188.75 cnf('0.5620.0.4',plain,
% 188.34/188.75 ( join(complement(X1),meet(X1,complement(meet(X1,X2)))) = complement(meet(X1,X2)) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5620.0.3','0.5.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.5620.1.0',plain,
% 188.34/188.75 ( join(complement(X1),meet(X1,complement(meet(X1,X2)))) = complement(meet(X1,X2)) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5620.0.4']),
% 188.34/188.75 [weight('<9,5486,5345,[0,0,0,9]>')]).
% 188.34/188.75 cnf('0.5620.2.0',plain,
% 188.34/188.75 ( join(complement(X1),meet(X1,complement(meet(X1,X2)))) = complement(meet(X1,X2)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5620.1.0',theory(equality)]),
% 188.34/188.75 [u,rule_5568]).
% 188.34/188.75 cnf('0.5803.0.0',plain,
% 188.34/188.75 ( meet(X1,complement(X2)) = join(meet(X1,complement(X2)),meet(X1,complement(join(X2,X3)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.101.2.0','0.5464.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.2','L')]).
% 188.34/188.75 cnf('0.5803.1.0',plain,
% 188.34/188.75 ( meet(X1,complement(X2)) = join(meet(X1,complement(X2)),meet(X1,complement(join(X2,X3)))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5803.0.0']),
% 188.34/188.75 [weight('<11,5464,101,[0,0,0,6]>')]).
% 188.34/188.75 cnf('0.5803.2.0',plain,
% 188.34/188.75 ( join(meet(X1,complement(X2)),meet(X1,complement(join(X2,X3)))) = meet(X1,complement(X2)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5803.1.0',theory(equality)]),
% 188.34/188.75 [x,rule_5749]).
% 188.34/188.75 cnf('0.5804.0.0',plain,
% 188.34/188.75 ( meet(complement(X1),complement(X2)) = join(meet(complement(X1),complement(X2)),complement(join(X1,X2))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5803.2.0','0.5466.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2','L')]).
% 188.34/188.75 cnf('0.5804.1.0',plain,
% 188.34/188.75 ( meet(complement(X1),complement(X2)) = join(meet(complement(X1),complement(X2)),complement(join(X1,X2))) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5804.0.0']),
% 188.34/188.75 [weight('<10,5803,5466,[1,0,0,5]>')]).
% 188.34/188.75 cnf('0.5804.1.1',plain,
% 188.34/188.75 ( meet(complement(X1),complement(X2)) = join(complement(join(X1,X2)),meet(complement(X1),complement(X2))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5804.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.5804.2.0',plain,
% 188.34/188.75 ( join(complement(join(X1,X2)),meet(complement(X1),complement(X2))) = meet(complement(X1),complement(X2)) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5804.1.1',theory(equality)]),
% 188.34/188.75 [x,rule_5750]).
% 188.34/188.75 cnf('0.5805.0.0',plain,
% 188.34/188.75 ( complement(complement(join(X1,X2))) = join(complement(complement(join(X1,X2))),complement(meet(complement(X1),complement(X2)))) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.5465.2.0','0.5804.2.0',theory(equality)]),
% 188.34/188.75 [pos('L.2.1','L')]).
% 188.34/188.75 cnf('0.5805.0.1',plain,
% 188.34/188.75 ( join(X1,X2) = join(complement(complement(join(X1,X2))),complement(meet(complement(X1),complement(X2)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5805.0.0','0.4390.2.0',theory(equality)]),
% 188.34/188.75 [pos('L','L')]).
% 188.34/188.75 cnf('0.5805.0.2',plain,
% 188.34/188.75 ( join(X1,X2) = join(join(X1,X2),complement(meet(complement(X1),complement(X2)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5805.0.1','0.4390.2.0',theory(equality)]),
% 188.34/188.75 [pos('R.1','L')]).
% 188.34/188.75 cnf('0.5805.0.3',plain,
% 188.34/188.75 ( join(X1,X2) = join(X1,join(X2,complement(meet(complement(X1),complement(X2))))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5805.0.2','0.8.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.5805.0.4',plain,
% 188.34/188.75 ( join(X1,X2) = join(complement(meet(complement(X1),complement(X2))),X2) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5805.0.3','0.5535.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.5805.1.0',plain,
% 188.34/188.75 ( join(X1,X2) = join(complement(meet(complement(X1),complement(X2))),X2) ),
% 188.34/188.75 inference(weigh,[status(thm)],['0.5805.0.4']),
% 188.34/188.75 [weight('<8,5804,5465,[0,0,0,4]>')]).
% 188.34/188.75 cnf('0.5805.1.1',plain,
% 188.34/188.75 ( join(X1,X2) = join(X2,complement(meet(complement(X1),complement(X2)))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5805.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.5805.1.2',plain,
% 188.34/188.75 ( join(X1,X2) = complement(meet(complement(X1),complement(X2))) ),
% 188.34/188.75 inference(reduction,[status(thm)],['0.5805.1.1','0.5477.2.0',theory(equality)]),
% 188.34/188.75 [pos('R','L')]).
% 188.34/188.75 cnf('0.5805.2.0',plain,
% 188.34/188.75 ( complement(meet(complement(X1),complement(X2))) = join(X1,X2) ),
% 188.34/188.75 inference(orient,[status(thm)],['0.5805.1.2',theory(equality)]),
% 188.34/188.75 [x,rule_5751]).
% 188.34/188.75 cnf('0.5806.0.0',plain,
% 188.34/188.75 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 188.34/188.75 inference(cp,[status(thm)],['0.4390.2.0','0.5805.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1','L')]).
% 188.34/188.76 cnf('0.5806.1.0',plain,
% 188.34/188.76 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5806.0.0']),
% 188.34/188.76 [weight('<5,5805,4390,[0,0,0,1]>')]).
% 188.34/188.76 cnf('0.5806.2.0',plain,
% 188.34/188.76 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5806.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_5752]).
% 188.34/188.76 cnf('0.5807.0.0',plain,
% 188.34/188.76 ( complement(join(complement(X1),X2)) = meet(X1,complement(X2)) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5806.2.0','0.4390.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1','L')]).
% 188.34/188.76 cnf('0.5807.1.0',plain,
% 188.34/188.76 ( complement(join(complement(X1),X2)) = meet(X1,complement(X2)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5807.0.0']),
% 188.34/188.76 [weight('<5,5806,4390,[1,0,0,1]>')]).
% 188.34/188.76 cnf('0.5807.2.0',plain,
% 188.34/188.76 ( complement(join(complement(X1),X2)) = meet(X1,complement(X2)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5807.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_5753]).
% 188.34/188.76 cnf('0.5808.0.0',plain,
% 188.34/188.76 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5806.2.0','0.4390.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.5808.1.0',plain,
% 188.34/188.76 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5808.0.0']),
% 188.34/188.76 [weight('<5,5806,4390,[1,0,0,3]>')]).
% 188.34/188.76 cnf('0.5808.2.0',plain,
% 188.34/188.76 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5808.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_5754]).
% 188.34/188.76 cnf('0.5809.0.0',plain,
% 188.34/188.76 ( join(complement(X1),X2) = complement(meet(X1,complement(X2))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.4390.2.0','0.5807.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1','L')]).
% 188.34/188.76 cnf('0.5809.1.0',plain,
% 188.34/188.76 ( join(complement(X1),X2) = complement(meet(X1,complement(X2))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5809.0.0']),
% 188.34/188.76 [weight('<5,5807,4390,[0,0,0,1]>')]).
% 188.34/188.76 cnf('0.5809.2.0',plain,
% 188.34/188.76 ( complement(meet(X1,complement(X2))) = join(complement(X1),X2) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5809.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5755]).
% 188.34/188.76 cnf('0.5810.0.0',plain,
% 188.34/188.76 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.4390.2.0','0.5808.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1','L')]).
% 188.34/188.76 cnf('0.5810.1.0',plain,
% 188.34/188.76 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5810.0.0']),
% 188.34/188.76 [weight('<5,5808,4390,[0,0,0,1]>')]).
% 188.34/188.76 cnf('0.5810.2.0',plain,
% 188.34/188.76 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5810.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5756]).
% 188.34/188.76 cnf('0.5811.0.0',plain,
% 188.34/188.76 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5809.2.0','0.4390.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1.2','L')]).
% 188.34/188.76 cnf('0.5811.1.0',plain,
% 188.34/188.76 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5811.0.0']),
% 188.34/188.76 [weight('<5,5809,4390,[1,0,0,3]>')]).
% 188.34/188.76 cnf('0.5811.2.0',plain,
% 188.34/188.76 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5811.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_5757]).
% 188.34/188.76 cnf('0.5817.0.0',plain,
% 188.34/188.76 ( meet(join(complement(X1),X2),complement(X3)) = complement(join(meet(X1,complement(X2)),X3)) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5807.2.0','0.5807.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1.1','L')]).
% 188.34/188.76 cnf('0.5817.1.0',plain,
% 188.34/188.76 ( meet(join(complement(X1),X2),complement(X3)) = complement(join(meet(X1,complement(X2)),X3)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5817.0.0']),
% 188.34/188.76 [weight('<7,5807,5807,[0,0,0,2]>')]).
% 188.34/188.76 cnf('0.5817.2.0',plain,
% 188.34/188.76 ( complement(join(meet(X1,complement(X2)),X3)) = meet(join(complement(X1),X2),complement(X3)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5817.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5763]).
% 188.34/188.76 cnf('0.5819.0.0',plain,
% 188.34/188.76 ( meet(complement(X1),join(complement(X2),X3)) = complement(join(X1,meet(X2,complement(X3)))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5808.2.0','0.5807.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1.2','L')]).
% 188.34/188.76 cnf('0.5819.1.0',plain,
% 188.34/188.76 ( meet(complement(X1),join(complement(X2),X3)) = complement(join(X1,meet(X2,complement(X3)))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5819.0.0']),
% 188.34/188.76 [weight('<7,5808,5807,[1,0,0,3]>')]).
% 188.34/188.76 cnf('0.5819.2.0',plain,
% 188.34/188.76 ( complement(join(X1,meet(X2,complement(X3)))) = meet(complement(X1),join(complement(X2),X3)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5819.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5765]).
% 188.34/188.76 cnf('0.5820.0.0',plain,
% 188.34/188.76 ( meet(complement(X1),join(X2,complement(X3))) = complement(join(X1,meet(complement(X2),X3))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5808.2.0','0.5808.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1.2','L')]).
% 188.34/188.76 cnf('0.5820.1.0',plain,
% 188.34/188.76 ( meet(complement(X1),join(X2,complement(X3))) = complement(join(X1,meet(complement(X2),X3))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5820.0.0']),
% 188.34/188.76 [weight('<7,5808,5808,[0,0,0,3]>')]).
% 188.34/188.76 cnf('0.5820.2.0',plain,
% 188.34/188.76 ( complement(join(X1,meet(complement(X2),X3))) = meet(complement(X1),join(X2,complement(X3))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5820.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5766]).
% 188.34/188.76 cnf('0.5826.0.0',plain,
% 188.34/188.76 ( join(X1,complement(meet(X2,X3))) = complement(meet(X3,meet(complement(X1),X2))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5810.2.0','0.181.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1','L')]).
% 188.34/188.76 cnf('0.5826.1.0',plain,
% 188.34/188.76 ( join(X1,complement(meet(X2,X3))) = complement(meet(X3,meet(complement(X1),X2))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5826.0.0']),
% 188.34/188.76 [weight('<7,5810,181,[1,0,0,1]>')]).
% 188.34/188.76 cnf('0.5826.2.0',plain,
% 188.34/188.76 ( complement(meet(X1,meet(complement(X2),X3))) = join(X2,complement(meet(X3,X1))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5826.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5772]).
% 188.34/188.76 cnf('0.5828.0.0',plain,
% 188.34/188.76 ( join(meet(X1,complement(X2)),complement(X3)) = complement(meet(join(complement(X1),X2),X3)) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5810.2.0','0.5809.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1.1','L')]).
% 188.34/188.76 cnf('0.5828.1.0',plain,
% 188.34/188.76 ( join(meet(X1,complement(X2)),complement(X3)) = complement(meet(join(complement(X1),X2),X3)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5828.0.0']),
% 188.34/188.76 [weight('<7,5810,5809,[1,0,0,2]>')]).
% 188.34/188.76 cnf('0.5828.2.0',plain,
% 188.34/188.76 ( complement(meet(join(complement(X1),X2),X3)) = join(meet(X1,complement(X2)),complement(X3)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5828.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5774]).
% 188.34/188.76 cnf('0.5845.0.0',plain,
% 188.34/188.76 ( meet(complement(X1),complement(X2)) = meet(complement(X1),join(complement(X2),complement(complement(meet(X1,X2))))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.4395.2.0','0.5811.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.2.1','L')]).
% 188.34/188.76 cnf('0.5845.0.1',plain,
% 188.34/188.76 ( complement(join(X1,X2)) = meet(complement(X1),join(complement(X2),complement(complement(meet(X1,X2))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5845.0.0','0.5806.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('0.5845.0.2',plain,
% 188.34/188.76 ( complement(join(X1,X2)) = meet(complement(X1),complement(meet(X2,complement(meet(X1,X2))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5845.0.1','0.5811.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2','L')]).
% 188.34/188.76 cnf('0.5845.0.3',plain,
% 188.34/188.76 ( complement(join(X1,X2)) = meet(complement(X1),join(complement(X2),meet(X1,X2))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5845.0.2','0.5809.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2','L')]).
% 188.34/188.76 cnf('0.5845.1.0',plain,
% 188.34/188.76 ( complement(join(X1,X2)) = meet(complement(X1),join(complement(X2),meet(X1,X2))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5845.0.3']),
% 188.34/188.76 [weight('<9,5811,4395,[0,0,0,5]>')]).
% 188.34/188.76 cnf('0.5845.2.0',plain,
% 188.34/188.76 ( meet(complement(X1),join(complement(X2),meet(X1,X2))) = complement(join(X1,X2)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5845.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5791]).
% 188.34/188.76 cnf('0.5868.0.0',plain,
% 188.34/188.76 ( join(meet(X1,complement(X2)),complement(meet(X3,X4))) = complement(meet(X4,meet(join(complement(X1),X2),X3))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5826.2.0','0.5809.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1.2.1','L')]).
% 188.34/188.76 cnf('0.5868.1.0',plain,
% 188.34/188.76 ( join(meet(X1,complement(X2)),complement(meet(X3,X4))) = complement(meet(X4,meet(join(complement(X1),X2),X3))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5868.0.0']),
% 188.34/188.76 [weight('<9,5826,5809,[1,0,0,4]>')]).
% 188.34/188.76 cnf('0.5868.2.0',plain,
% 188.34/188.76 ( complement(meet(X1,meet(join(complement(X2),X3),X4))) = join(meet(X2,complement(X3)),complement(meet(X4,X1))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5868.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5814]).
% 188.34/188.76 cnf('0.5870.0.0',plain,
% 188.34/188.76 ( join(X1,complement(join(complement(complement(X1)),meet(join(X2,complement(complement(X1))),X3)))) = complement(meet(complement(X1),meet(join(complement(complement(X1)),X2),join(complement(complement(X1)),X3)))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5810.2.0','0.1542.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1','L')]).
% 188.34/188.76 cnf('0.5870.0.1',plain,
% 188.34/188.76 ( join(X1,meet(complement(X1),complement(meet(join(X2,complement(complement(X1))),X3)))) = complement(meet(complement(X1),meet(join(complement(complement(X1)),X2),join(complement(complement(X1)),X3)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5870.0.0','0.5807.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.5870.0.2',plain,
% 188.34/188.76 ( join(X1,complement(join(X1,meet(join(X2,complement(complement(X1))),X3)))) = complement(meet(complement(X1),meet(join(complement(complement(X1)),X2),join(complement(complement(X1)),X3)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5870.0.1','0.5806.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.5870.0.3',plain,
% 188.34/188.76 ( join(X1,complement(join(X1,meet(join(X2,X1),X3)))) = complement(meet(complement(X1),meet(join(complement(complement(X1)),X2),join(complement(complement(X1)),X3)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5870.0.2','0.4390.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.1.2.1.2','L')]).
% 188.34/188.76 cnf('0.5870.0.4',plain,
% 188.34/188.76 ( join(X1,complement(join(X1,meet(join(X2,X1),X3)))) = join(X1,complement(meet(join(complement(complement(X1)),X2),join(complement(complement(X1)),X3)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5870.0.3','0.5810.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.5870.0.5',plain,
% 188.34/188.76 ( join(X1,complement(join(X1,meet(join(X2,X1),X3)))) = join(X1,complement(meet(join(X1,X2),join(complement(complement(X1)),X3)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5870.0.4','0.4390.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2.1.1.1','L')]).
% 188.34/188.76 cnf('0.5870.0.6',plain,
% 188.34/188.76 ( join(X1,complement(join(X1,meet(join(X2,X1),X3)))) = join(X1,complement(meet(join(X1,X2),join(X1,X3)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5870.0.5','0.4390.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2.1.2.1','L')]).
% 188.34/188.76 cnf('0.5870.1.0',plain,
% 188.34/188.76 ( join(X1,complement(join(X1,meet(join(X2,X1),X3)))) = join(X1,complement(meet(join(X1,X2),join(X1,X3)))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5870.0.6']),
% 188.34/188.76 [weight('<10,5810,1542,[1,0,0,1]>')]).
% 188.34/188.76 cnf('0.5870.2.0',plain,
% 188.34/188.76 ( join(X1,complement(join(X1,meet(join(X2,X1),X3)))) = join(X1,complement(meet(join(X1,X2),join(X1,X3)))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5870.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_5816]).
% 188.34/188.76 cnf('0.5877.0.0',plain,
% 188.34/188.76 ( complement(meet(X1,join(meet(X2,complement(X3)),X4))) = join(complement(X1),meet(join(complement(X2),X3),complement(X4))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5811.2.0','0.5817.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.5877.1.0',plain,
% 188.34/188.76 ( complement(meet(X1,join(meet(X2,complement(X3)),X4))) = join(complement(X1),meet(join(complement(X2),X3),complement(X4))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5877.0.0']),
% 188.34/188.76 [weight('<10,5817,5811,[0,0,0,3]>')]).
% 188.34/188.76 cnf('0.5877.2.0',plain,
% 188.34/188.76 ( join(complement(X1),meet(join(complement(X2),X3),complement(X4))) = complement(meet(X1,join(meet(X2,complement(X3)),X4))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5877.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5823]).
% 188.34/188.76 cnf('0.5888.0.0',plain,
% 188.34/188.76 ( complement(meet(join(X1,meet(complement(X2),X3)),X4)) = join(meet(complement(X1),join(X2,complement(X3))),complement(X4)) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5811.2.0','0.5820.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1','L')]).
% 188.34/188.76 cnf('0.5888.1.0',plain,
% 188.34/188.76 ( complement(meet(join(X1,meet(complement(X2),X3)),X4)) = join(meet(complement(X1),join(X2,complement(X3))),complement(X4)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5888.0.0']),
% 188.34/188.76 [weight('<10,5820,5811,[0,0,0,1]>')]).
% 188.34/188.76 cnf('0.5888.2.0',plain,
% 188.34/188.76 ( join(meet(complement(X1),join(X2,complement(X3))),complement(X4)) = complement(meet(join(X1,meet(complement(X2),X3)),X4)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5888.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5834]).
% 188.34/188.76 cnf('0.5891.0.0',plain,
% 188.34/188.76 ( join(complement(X1),complement(meet(join(complement(X1),complement(X2)),join(complement(X1),complement(X3))))) = join(complement(X1),complement(complement(meet(X1,join(meet(X2,complement(complement(X1))),X3))))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5870.2.0','0.5877.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.1','L')]).
% 188.34/188.76 cnf('0.5891.0.1',plain,
% 188.34/188.76 ( complement(meet(X1,meet(join(complement(X1),complement(X2)),join(complement(X1),complement(X3))))) = join(complement(X1),complement(complement(meet(X1,join(meet(X2,complement(complement(X1))),X3))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5891.0.0','0.5811.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('0.5891.0.2',plain,
% 188.34/188.76 ( join(meet(X1,complement(complement(X2))),complement(meet(join(complement(X1),complement(X3)),X1))) = join(complement(X1),complement(complement(meet(X1,join(meet(X2,complement(complement(X1))),X3))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5891.0.1','0.5868.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('0.5891.0.3',plain,
% 188.34/188.76 ( join(meet(X1,X2),complement(meet(join(complement(X1),complement(X3)),X1))) = join(complement(X1),complement(complement(meet(X1,join(meet(X2,complement(complement(X1))),X3))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5891.0.2','0.4390.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1.2','L')]).
% 188.34/188.76 cnf('0.5891.0.4',plain,
% 188.34/188.76 ( join(meet(X1,X2),join(meet(X1,complement(complement(X3))),complement(X1))) = join(complement(X1),complement(complement(meet(X1,join(meet(X2,complement(complement(X1))),X3))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5891.0.3','0.5828.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.5891.0.5',plain,
% 188.34/188.76 ( join(meet(X1,X2),join(meet(X1,X3),complement(X1))) = join(complement(X1),complement(complement(meet(X1,join(meet(X2,complement(complement(X1))),X3))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5891.0.4','0.4390.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.1.2','L')]).
% 188.34/188.76 cnf('0.5891.0.6',plain,
% 188.34/188.76 ( join(meet(X1,X2),join(meet(X1,X3),complement(X1))) = complement(meet(X1,complement(meet(X1,join(meet(X2,complement(complement(X1))),X3))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5891.0.5','0.5811.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.5891.0.7',plain,
% 188.34/188.76 ( join(meet(X1,X2),join(meet(X1,X3),complement(X1))) = join(complement(X1),meet(X1,join(meet(X2,complement(complement(X1))),X3))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5891.0.6','0.5809.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.5891.0.8',plain,
% 188.34/188.76 ( join(meet(X1,X2),join(meet(X1,X3),complement(X1))) = join(complement(X1),meet(X1,join(meet(X2,X1),X3))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5891.0.7','0.4390.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2.2.1.2','L')]).
% 188.34/188.76 cnf('0.5891.1.0',plain,
% 188.34/188.76 ( join(meet(X1,X2),join(meet(X1,X3),complement(X1))) = join(complement(X1),meet(X1,join(meet(X2,X1),X3))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5891.0.8']),
% 188.34/188.76 [weight('<10,5877,5870,[0,0,0,3]>')]).
% 188.34/188.76 cnf('0.5891.1.1',plain,
% 188.34/188.76 ( join(complement(X1),join(meet(X1,X3),meet(X1,X2))) = join(complement(X1),meet(X1,join(meet(X2,X1),X3))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5891.1.0','0.218.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('0.5891.2.0',plain,
% 188.34/188.76 ( join(complement(X1),join(meet(X1,X2),meet(X1,X3))) = join(complement(X1),meet(X1,join(meet(X3,X1),X2))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5891.1.1',theory(equality)]),
% 188.34/188.76 [u,rule_5837]).
% 188.34/188.76 cnf('0.5892.0.0',plain,
% 188.34/188.76 ( meet(X1,join(complement(X1),join(meet(X1,X2),meet(X1,X3)))) = join(meet(X1,X2),meet(X1,X3)) ),
% 188.34/188.76 inference(interreduction_right,[status(thm)],['0.4533.2.0'])).
% 188.34/188.76 cnf('0.5892.0.1',plain,
% 188.34/188.76 ( meet(X1,join(complement(X1),meet(X1,join(meet(X3,X1),X2)))) = join(meet(X1,X2),meet(X1,X3)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5892.0.0','0.5891.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.5892.0.2',plain,
% 188.34/188.76 ( meet(X1,join(meet(X3,X1),X2)) = join(meet(X1,X2),meet(X1,X3)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5892.0.1','0.4396.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('0.5892.1.0',plain,
% 188.34/188.76 ( meet(X1,join(meet(X3,X1),X2)) = join(meet(X1,X2),meet(X1,X3)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5892.0.2']),
% 188.34/188.76 [weight('<7,4533,5891,[0,0,0,0]>')]).
% 188.34/188.76 cnf('0.5892.2.0',plain,
% 188.34/188.76 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X3,X1),X2)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5892.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5838]).
% 188.34/188.76 cnf('0.5893.0.0',plain,
% 188.34/188.76 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X3,X1),meet(X1,X2)) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5892.2.0','0.10.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1','L')]).
% 188.34/188.76 cnf('0.5893.1.0',plain,
% 188.34/188.76 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X3,X1),meet(X1,X2)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5893.0.0']),
% 188.34/188.76 [weight('<7,5892,10,[1,0,0,1]>')]).
% 188.34/188.76 cnf('0.5893.2.0',plain,
% 188.34/188.76 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X3,X2),X1)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5893.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5839]).
% 188.34/188.76 cnf('0.5894.0.0',plain,
% 188.34/188.76 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X1,X3),meet(X2,X1)) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5892.2.0','0.10.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.5894.1.0',plain,
% 188.34/188.76 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X1,X3),meet(X2,X1)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5894.0.0']),
% 188.34/188.76 [weight('<7,5892,10,[1,0,0,4]>')]).
% 188.34/188.76 cnf('0.5894.2.0',plain,
% 188.34/188.76 ( join(meet(X1,X2),meet(X3,X1)) = meet(X1,join(meet(X3,X1),X2)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5894.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5840]).
% 188.34/188.76 cnf('0.5895.0.0',plain,
% 188.34/188.76 ( meet(X1,join(meet(X2,X1),meet(X1,X3))) = join(meet(X1,X3),meet(X1,X2)) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5892.2.0','0.27.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1','L')]).
% 188.34/188.76 cnf('0.5895.0.1',plain,
% 188.34/188.76 ( join(meet(X2,X1),meet(X1,X3)) = join(meet(X1,X3),meet(X1,X2)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5895.0.0','0.183.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('0.5895.0.2',plain,
% 188.34/188.76 ( join(meet(X2,X1),meet(X1,X3)) = meet(X1,join(meet(X2,X1),X3)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5895.0.1','0.5892.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.5895.1.0',plain,
% 188.34/188.76 ( join(meet(X2,X1),meet(X1,X3)) = meet(X1,join(meet(X2,X1),X3)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5895.0.2']),
% 188.34/188.76 [weight('<7,5892,27,[1,0,0,1]>')]).
% 188.34/188.76 cnf('0.5895.1.1',plain,
% 188.34/188.76 ( meet(X1,join(meet(X3,X1),X2)) = meet(X1,join(meet(X2,X1),X3)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5895.1.0','0.5893.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('0.5895.2.0',plain,
% 188.34/188.76 ( meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(meet(X3,X1),X2)) ),
% 188.34/188.76 inference(activate,[status(thm)],['0.5895.1.1']),
% 188.34/188.76 [equation_55]).
% 188.34/188.76 cnf('0.5897.0.0',plain,
% 188.34/188.76 ( meet(join(X1,X2),join(meet(X1,join(X1,X2)),X3)) = join(meet(join(X1,X2),X3),X1) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5894.2.0','0.4.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.5897.0.1',plain,
% 188.34/188.76 ( meet(join(X1,X2),join(X1,X3)) = join(meet(join(X1,X2),X3),X1) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5897.0.0','0.4.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.1','L')]).
% 188.34/188.76 cnf('0.5897.1.0',plain,
% 188.34/188.76 ( meet(join(X1,X2),join(X1,X3)) = join(meet(join(X1,X2),X3),X1) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5897.0.1']),
% 188.34/188.76 [weight('<7,5894,4,[1,0,0,4]>')]).
% 188.34/188.76 cnf('0.5897.1.1',plain,
% 188.34/188.76 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),X3)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5897.1.0','0.7.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.5897.2.0',plain,
% 188.34/188.76 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5897.1.1',theory(equality)]),
% 188.34/188.76 [x,rule_5842]).
% 188.34/188.76 cnf('0.5898.0.0',plain,
% 188.34/188.76 ( meet(join(X1,meet(join(X1,X2),X3)),join(X2,join(X1,X4))) = join(X1,meet(join(X2,X1),X3)) ),
% 188.34/188.76 inference(interreduction_right,[status(thm)],['0.5225.2.0'])).
% 188.34/188.76 cnf('0.5898.0.1',plain,
% 188.34/188.76 ( meet(meet(join(X1,X2),join(X1,X3)),join(X2,join(X1,X4))) = join(X1,meet(join(X2,X1),X3)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5898.0.0','0.5897.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1','L')]).
% 188.34/188.76 cnf('0.5898.0.2',plain,
% 188.34/188.76 ( meet(join(X1,X2),meet(join(X1,X3),join(X2,join(X1,X4)))) = join(X1,meet(join(X2,X1),X3)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5898.0.1','0.12.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('0.5898.0.3',plain,
% 188.34/188.76 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X2,X1),X3)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5898.0.2','0.555.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('0.5898.1.0',plain,
% 188.34/188.76 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X2,X1),X3)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5898.0.3']),
% 188.34/188.76 [weight('<7,5225,5897,[0,0,0,0]>')]).
% 188.34/188.76 cnf('0.5898.2.0',plain,
% 188.34/188.76 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5898.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5843]).
% 188.34/188.76 cnf('0.5899.0.0',plain,
% 188.34/188.76 ( meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,meet(X3,X1))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5895.2.0','0.7.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.5899.1.0',plain,
% 188.34/188.76 ( meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,meet(X3,X1))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5899.0.0']),
% 188.34/188.76 [weight('<7,5895,7,[1,0,0,2]>')]).
% 188.34/188.76 cnf('0.5899.2.0',plain,
% 188.34/188.76 ( meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,meet(X3,X1))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5899.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_5844]).
% 188.34/188.76 cnf('0.5900.0.0',plain,
% 188.34/188.76 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X3,X1),X2)) ),
% 188.34/188.76 inference(interreduction_right,[status(thm)],['0.5892.2.0'])).
% 188.34/188.76 cnf('0.5900.0.1',plain,
% 188.34/188.76 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X3,meet(X2,X1))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5900.0.0','0.5899.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.5900.1.0',plain,
% 188.34/188.76 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X3,meet(X2,X1))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5900.0.1']),
% 188.34/188.76 [weight('<7,5892,5899,[0,0,0,0]>')]).
% 188.34/188.76 cnf('0.5900.2.0',plain,
% 188.34/188.76 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X3,meet(X2,X1))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5900.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_5845]).
% 188.34/188.76 cnf('0.5902.0.0',plain,
% 188.34/188.76 ( join(meet(X1,X2),meet(X3,X1)) = meet(X1,join(meet(X3,X1),X2)) ),
% 188.34/188.76 inference(interreduction_right,[status(thm)],['0.5894.2.0'])).
% 188.34/188.76 cnf('0.5902.0.1',plain,
% 188.34/188.76 ( join(meet(X1,X2),meet(X3,X1)) = meet(X1,join(X3,meet(X2,X1))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5902.0.0','0.5899.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.5902.1.0',plain,
% 188.34/188.76 ( join(meet(X1,X2),meet(X3,X1)) = meet(X1,join(X3,meet(X2,X1))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5902.0.1']),
% 188.34/188.76 [weight('<7,5894,5899,[0,0,0,0]>')]).
% 188.34/188.76 cnf('0.5902.2.0',plain,
% 188.34/188.76 ( join(meet(X1,X2),meet(X3,X1)) = meet(X1,join(X3,meet(X2,X1))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5902.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_5847]).
% 188.34/188.76 cnf('0.5904.0.0',plain,
% 188.34/188.76 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X3,join(X1,X2))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5897.2.0','0.10.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.5904.1.0',plain,
% 188.34/188.76 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X3,join(X1,X2))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5904.0.0']),
% 188.34/188.76 [weight('<7,5897,10,[1,0,0,2]>')]).
% 188.34/188.76 cnf('0.5904.2.0',plain,
% 188.34/188.76 ( join(X1,meet(X2,join(X1,X3))) = meet(join(X1,X3),join(X1,X2)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5904.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5849]).
% 188.34/188.76 cnf('0.5906.0.0',plain,
% 188.34/188.76 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(meet(X1,X2),X3)) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5899.2.0','0.10.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.1','L')]).
% 188.34/188.76 cnf('0.5906.1.0',plain,
% 188.34/188.76 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(meet(X1,X2),X3)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5906.0.0']),
% 188.34/188.76 [weight('<7,5899,10,[1,0,0,3]>')]).
% 188.34/188.76 cnf('0.5906.2.0',plain,
% 188.34/188.76 ( meet(X1,join(meet(X1,X2),X3)) = meet(X1,join(X2,meet(X3,X1))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5906.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5851]).
% 188.34/188.76 cnf('0.5908.0.0',plain,
% 188.34/188.76 ( join(meet(X1,X2),meet(join(X3,meet(meet(X1,X2),X4)),X1)) = meet(join(meet(X1,X2),X3),meet(X1,join(join(X3,meet(meet(X1,X2),X4)),meet(X2,X1)))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.2218.2.0','0.5902.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.5908.0.1',plain,
% 188.34/188.76 ( meet(X1,join(join(X3,meet(meet(X1,X2),X4)),meet(X2,X1))) = meet(join(meet(X1,X2),X3),meet(X1,join(join(X3,meet(meet(X1,X2),X4)),meet(X2,X1)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5908.0.0','0.5902.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('0.5908.0.2',plain,
% 188.34/188.76 ( meet(X1,join(X3,join(meet(meet(X1,X2),X4),meet(X2,X1)))) = meet(join(meet(X1,X2),X3),meet(X1,join(join(X3,meet(meet(X1,X2),X4)),meet(X2,X1)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5908.0.1','0.8.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.5908.0.3',plain,
% 188.34/188.76 ( meet(X1,join(X3,join(meet(X1,meet(X2,X4)),meet(X2,X1)))) = meet(join(meet(X1,X2),X3),meet(X1,join(join(X3,meet(meet(X1,X2),X4)),meet(X2,X1)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5908.0.2','0.12.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.2.1','L')]).
% 188.34/188.76 cnf('0.5908.0.4',plain,
% 188.34/188.76 ( meet(X1,join(X3,meet(X1,join(X2,meet(meet(X2,X4),X1))))) = meet(join(meet(X1,X2),X3),meet(X1,join(join(X3,meet(meet(X1,X2),X4)),meet(X2,X1)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5908.0.3','0.5902.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.2','L')]).
% 188.34/188.76 cnf('0.5908.0.5',plain,
% 188.34/188.76 ( meet(X1,join(X3,meet(X1,join(X2,meet(X2,meet(X4,X1)))))) = meet(join(meet(X1,X2),X3),meet(X1,join(join(X3,meet(meet(X1,X2),X4)),meet(X2,X1)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5908.0.4','0.12.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.2.2.2','L')]).
% 188.34/188.76 cnf('0.5908.0.6',plain,
% 188.34/188.76 ( meet(X1,join(X3,meet(X1,X2))) = meet(join(meet(X1,X2),X3),meet(X1,join(join(X3,meet(meet(X1,X2),X4)),meet(X2,X1)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5908.0.5','0.2.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.2.2','L')]).
% 188.34/188.76 cnf('0.5908.0.7',plain,
% 188.34/188.76 ( meet(X1,join(X3,meet(X1,X2))) = meet(join(meet(X1,X2),X3),meet(X1,join(X3,join(meet(meet(X1,X2),X4),meet(X2,X1))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5908.0.6','0.8.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2.2','L')]).
% 188.34/188.76 cnf('0.5908.0.8',plain,
% 188.34/188.76 ( meet(X1,join(X3,meet(X1,X2))) = meet(join(meet(X1,X2),X3),meet(X1,join(X3,join(meet(X1,meet(X2,X4)),meet(X2,X1))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5908.0.7','0.12.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2.2.2.1','L')]).
% 188.34/188.76 cnf('0.5908.0.9',plain,
% 188.34/188.76 ( meet(X1,join(X3,meet(X1,X2))) = meet(join(meet(X1,X2),X3),meet(X1,join(X3,meet(X1,join(X2,meet(meet(X2,X4),X1)))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5908.0.8','0.5902.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2.2.2','L')]).
% 188.34/188.76 cnf('0.5908.0.10',plain,
% 188.34/188.76 ( meet(X1,join(X3,meet(X1,X2))) = meet(join(meet(X1,X2),X3),meet(X1,join(X3,meet(X1,join(X2,meet(X2,meet(X4,X1))))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5908.0.9','0.12.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2.2.2.2.2','L')]).
% 188.34/188.76 cnf('0.5908.0.11',plain,
% 188.34/188.76 ( meet(X1,join(X3,meet(X1,X2))) = meet(join(meet(X1,X2),X3),meet(X1,join(X3,meet(X1,X2)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5908.0.10','0.2.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2.2.2.2','L')]).
% 188.34/188.76 cnf('0.5908.0.12',plain,
% 188.34/188.76 ( meet(X1,join(X3,meet(X1,X2))) = meet(join(meet(X1,X2),X3),X1) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5908.0.11','0.153.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.5908.1.0',plain,
% 188.34/188.76 ( meet(X1,join(X3,meet(X1,X2))) = meet(join(meet(X1,X2),X3),X1) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5908.0.12']),
% 188.34/188.76 [weight('<7,5902,2218,[0,0,0,4]>')]).
% 188.34/188.76 cnf('0.5908.1.1',plain,
% 188.34/188.76 ( meet(X1,join(X3,meet(X1,X2))) = meet(X1,join(meet(X1,X2),X3)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5908.1.0','0.10.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.5908.1.2',plain,
% 188.34/188.76 ( meet(X1,join(X3,meet(X1,X2))) = meet(X1,join(X2,meet(X3,X1))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5908.1.1','0.5906.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.5908.2.0',plain,
% 188.34/188.76 ( meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X3,meet(X2,X1))) ),
% 188.34/188.76 inference(activate,[status(thm)],['0.5908.1.2']),
% 188.34/188.76 [equation_57]).
% 188.34/188.76 cnf('0.5931.0.0',plain,
% 188.34/188.76 ( meet(join(X1,X2),join(X1,meet(X3,meet(join(X2,X1),X4)))) = join(X1,meet(join(X2,X1),meet(X3,X4))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5898.2.0','0.52.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.5931.0.1',plain,
% 188.34/188.76 ( join(X1,meet(X3,meet(join(X2,X1),X4))) = join(X1,meet(join(X2,X1),meet(X3,X4))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5931.0.0','0.3340.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('0.5931.0.2',plain,
% 188.34/188.76 ( join(X1,meet(X3,meet(join(X2,X1),X4))) = meet(join(X1,X2),join(X1,meet(X3,X4))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5931.0.1','0.5898.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.5931.1.0',plain,
% 188.34/188.76 ( join(X1,meet(X3,meet(join(X2,X1),X4))) = meet(join(X1,X2),join(X1,meet(X3,X4))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5931.0.2']),
% 188.34/188.76 [weight('<9,5898,52,[1,0,0,2]>')]).
% 188.34/188.76 cnf('0.5931.2.0',plain,
% 188.34/188.76 ( join(X1,meet(X2,meet(join(X3,X1),X4))) = meet(join(X1,X3),join(X1,meet(X2,X4))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5931.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_5874]).
% 188.34/188.76 cnf('0.5934.0.0',plain,
% 188.34/188.76 ( meet(X1,meet(join(meet(X2,X1),X3),X4)) = meet(meet(X1,join(X2,meet(X3,X1))),X4) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.12.2.0','0.5899.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1','L')]).
% 188.34/188.76 cnf('0.5934.0.1',plain,
% 188.34/188.76 ( meet(X1,meet(join(meet(X2,X1),X3),X4)) = meet(X1,meet(join(X2,meet(X3,X1)),X4)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5934.0.0','0.12.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.5934.1.0',plain,
% 188.34/188.76 ( meet(X1,meet(join(meet(X2,X1),X3),X4)) = meet(X1,meet(join(X2,meet(X3,X1)),X4)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5934.0.1']),
% 188.34/188.76 [weight('<9,5899,12,[0,0,0,1]>')]).
% 188.34/188.76 cnf('0.5934.2.0',plain,
% 188.34/188.76 ( meet(X1,meet(join(meet(X2,X1),X3),X4)) = meet(X1,meet(join(X2,meet(X3,X1)),X4)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5934.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_5876]).
% 188.34/188.76 cnf('0.5938.0.0',plain,
% 188.34/188.76 ( meet(X1,join(meet(X2,join(X1,X3)),X4)) = meet(X1,meet(join(X1,X3),join(X2,meet(X4,join(X1,X3))))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.47.2.0','0.5899.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.5938.0.1',plain,
% 188.34/188.76 ( meet(X1,join(meet(X2,join(X1,X3)),X4)) = meet(X1,join(X2,meet(X4,join(X1,X3)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5938.0.0','0.47.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.5938.1.0',plain,
% 188.34/188.76 ( meet(X1,join(meet(X2,join(X1,X3)),X4)) = meet(X1,join(X2,meet(X4,join(X1,X3)))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5938.0.1']),
% 188.34/188.76 [weight('<9,5899,47,[0,0,0,2]>')]).
% 188.34/188.76 cnf('0.5938.2.0',plain,
% 188.34/188.76 ( meet(X1,join(meet(X2,join(X1,X3)),X4)) = meet(X1,join(X2,meet(X4,join(X1,X3)))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5938.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_5880]).
% 188.34/188.76 cnf('0.5940.0.0',plain,
% 188.34/188.76 ( meet(X1,meet(X2,join(meet(X3,X1),X4))) = meet(X1,meet(X2,meet(X1,join(X3,meet(X4,X1))))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.52.2.0','0.5899.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.2','L')]).
% 188.34/188.76 cnf('0.5940.0.1',plain,
% 188.34/188.76 ( meet(X1,meet(X2,join(meet(X3,X1),X4))) = meet(X1,meet(X2,join(X3,meet(X4,X1)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5940.0.0','0.52.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.5940.1.0',plain,
% 188.34/188.76 ( meet(X1,meet(X2,join(meet(X3,X1),X4))) = meet(X1,meet(X2,join(X3,meet(X4,X1)))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5940.0.1']),
% 188.34/188.76 [weight('<9,5899,52,[0,0,0,4]>')]).
% 188.34/188.76 cnf('0.5940.2.0',plain,
% 188.34/188.76 ( meet(X1,meet(X2,join(meet(X3,X1),X4))) = meet(X1,meet(X2,join(X3,meet(X4,X1)))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5940.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_5882]).
% 188.34/188.76 cnf('0.5965.0.0',plain,
% 188.34/188.76 ( meet(join(complement(X1),meet(X1,complement(meet(X1,X2)))),join(complement(X1),X3)) = join(complement(X1),meet(X3,complement(meet(X1,X2)))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5904.2.0','0.5620.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.2','L')]).
% 188.34/188.76 cnf('0.5965.0.1',plain,
% 188.34/188.76 ( meet(complement(meet(X1,X2)),join(complement(X1),X3)) = join(complement(X1),meet(X3,complement(meet(X1,X2)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.5965.0.0','0.5620.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1','L')]).
% 188.34/188.76 cnf('0.5965.1.0',plain,
% 188.34/188.76 ( meet(complement(meet(X1,X2)),join(complement(X1),X3)) = join(complement(X1),meet(X3,complement(meet(X1,X2)))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.5965.0.1']),
% 188.34/188.76 [weight('<9,5904,5620,[1,0,0,4]>')]).
% 188.34/188.76 cnf('0.5965.2.0',plain,
% 188.34/188.76 ( join(complement(X1),meet(X2,complement(meet(X1,X3)))) = meet(complement(meet(X1,X3)),join(complement(X1),X2)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.5965.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5898]).
% 188.34/188.76 cnf('0.6048.0.0',plain,
% 188.34/188.76 ( join(X1,meet(complement(X2),join(X2,complement(join(X2,X3))))) = meet(join(complement(X2),X1),join(X1,complement(join(X2,X3)))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.148.2.0','0.5482.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.2','L')]).
% 188.34/188.76 cnf('0.6048.0.1',plain,
% 188.34/188.76 ( join(X1,complement(join(X2,X3))) = meet(join(complement(X2),X1),join(X1,complement(join(X2,X3)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.6048.0.0','0.5482.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.6048.1.0',plain,
% 188.34/188.76 ( join(X1,complement(join(X2,X3))) = meet(join(complement(X2),X1),join(X1,complement(join(X2,X3)))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.6048.0.1']),
% 188.34/188.76 [weight('<11,5482,148,[0,0,0,6]>')]).
% 188.34/188.76 cnf('0.6048.2.0',plain,
% 188.34/188.76 ( meet(join(complement(X1),X2),join(X2,complement(join(X1,X3)))) = join(X2,complement(join(X1,X3))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.6048.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_5966]).
% 188.34/188.76 cnf('0.6806.0.0',plain,
% 188.34/188.76 ( meet(join(X1,meet(X2,X3)),join(X1,meet(X3,X4))) = join(X1,meet(X3,meet(join(X2,meet(X1,X3)),X4))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5931.2.0','0.5934.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.6806.1.0',plain,
% 188.34/188.76 ( meet(join(X1,meet(X2,X3)),join(X1,meet(X3,X4))) = join(X1,meet(X3,meet(join(X2,meet(X1,X3)),X4))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.6806.0.0']),
% 188.34/188.76 [weight('<11,5934,5931,[0,0,0,2]>')]).
% 188.34/188.76 cnf('0.6806.2.0',plain,
% 188.34/188.76 ( join(X1,meet(X2,meet(join(X3,meet(X1,X2)),X4))) = meet(join(X1,meet(X3,X2)),join(X1,meet(X2,X4))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.6806.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_6689]).
% 188.34/188.76 cnf('0.6816.0.0',plain,
% 188.34/188.76 ( join(X1,complement(join(meet(X2,join(complement(X1),X3)),X4))) = complement(meet(complement(X1),join(X2,meet(X4,join(complement(X1),X3))))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.5810.2.0','0.5938.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1','L')]).
% 188.34/188.76 cnf('0.6816.0.1',plain,
% 188.34/188.76 ( join(X1,complement(join(meet(X2,join(complement(X1),X3)),X4))) = join(X1,complement(join(X2,meet(X4,join(complement(X1),X3))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.6816.0.0','0.5810.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.6816.1.0',plain,
% 188.34/188.76 ( join(X1,complement(join(meet(X2,join(complement(X1),X3)),X4))) = join(X1,complement(join(X2,meet(X4,join(complement(X1),X3))))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.6816.0.1']),
% 188.34/188.76 [weight('<11,5938,5810,[0,0,0,1]>')]).
% 188.34/188.76 cnf('0.6816.2.0',plain,
% 188.34/188.76 ( join(X1,complement(join(meet(X2,join(complement(X1),X3)),X4))) = join(X1,complement(join(X2,meet(X4,join(complement(X1),X3))))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.6816.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_6698]).
% 188.34/188.76 cnf('0.6817.0.0',plain,
% 188.34/188.76 ( join(X1,complement(join(complement(X2),meet(complement(X3),join(complement(X1),complement(X4)))))) = join(X1,complement(complement(meet(join(X2,meet(complement(complement(X1)),X4)),X3)))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.6816.2.0','0.5888.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.1','L')]).
% 188.34/188.76 cnf('0.6817.0.1',plain,
% 188.34/188.76 ( join(X1,meet(X2,complement(meet(complement(X3),join(complement(X1),complement(X4)))))) = join(X1,complement(complement(meet(join(X2,meet(complement(complement(X1)),X4)),X3)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.6817.0.0','0.5807.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.6817.0.2',plain,
% 188.34/188.76 ( join(X1,meet(X2,join(X3,complement(join(complement(X1),complement(X4)))))) = join(X1,complement(complement(meet(join(X2,meet(complement(complement(X1)),X4)),X3)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.6817.0.1','0.5810.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.2','L')]).
% 188.34/188.76 cnf('0.6817.0.3',plain,
% 188.34/188.76 ( join(X1,meet(X2,join(X3,meet(X1,complement(complement(X4)))))) = join(X1,complement(complement(meet(join(X2,meet(complement(complement(X1)),X4)),X3)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.6817.0.2','0.5807.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.2.2','L')]).
% 188.34/188.76 cnf('0.6817.0.4',plain,
% 188.34/188.76 ( join(X1,meet(X2,join(X3,meet(X1,X4)))) = join(X1,complement(complement(meet(join(X2,meet(complement(complement(X1)),X4)),X3)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.6817.0.3','0.4390.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.2.2.2','L')]).
% 188.34/188.76 cnf('0.6817.0.5',plain,
% 188.34/188.76 ( join(X1,meet(X2,join(X3,meet(X1,X4)))) = join(X1,meet(join(X2,meet(complement(complement(X1)),X4)),X3)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.6817.0.4','0.4390.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2','L')]).
% 188.34/188.76 cnf('0.6817.0.6',plain,
% 188.34/188.76 ( join(X1,meet(X2,join(X3,meet(X1,X4)))) = join(X1,meet(join(X2,meet(X1,X4)),X3)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.6817.0.5','0.4390.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2.1.2.1','L')]).
% 188.34/188.76 cnf('0.6817.1.0',plain,
% 188.34/188.76 ( join(X1,meet(X2,join(X3,meet(X1,X4)))) = join(X1,meet(join(X2,meet(X1,X4)),X3)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.6817.0.6']),
% 188.34/188.76 [weight('<9,6816,5888,[1,0,0,3]>')]).
% 188.34/188.76 cnf('0.6817.2.0',plain,
% 188.34/188.76 ( join(X1,meet(join(X2,meet(X1,X3)),X4)) = join(X1,meet(X2,join(X4,meet(X1,X3)))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.6817.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_6699]).
% 188.34/188.76 cnf('0.7031.0.0',plain,
% 188.34/188.76 ( join(meet(X1,complement(meet(X2,X3))),complement(join(X2,X4))) = meet(meet(complement(meet(X2,X3)),join(complement(X2),X1)),join(meet(X1,complement(meet(X2,X3))),complement(join(X2,X4)))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.6048.2.0','0.5965.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1','L')]).
% 188.34/188.76 cnf('0.7031.0.1',plain,
% 188.34/188.76 ( join(meet(X1,complement(meet(X2,X3))),complement(join(X2,X4))) = meet(complement(meet(X2,X3)),meet(join(complement(X2),X1),join(meet(X1,complement(meet(X2,X3))),complement(join(X2,X4))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7031.0.0','0.12.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.7031.0.2',plain,
% 188.34/188.76 ( join(meet(X1,complement(meet(X2,X3))),complement(join(X2,X4))) = meet(complement(meet(X2,X3)),meet(join(complement(X2),X1),join(X1,meet(complement(join(X2,X4)),complement(meet(X2,X3)))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7031.0.1','0.5940.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.7031.0.3',plain,
% 188.34/188.76 ( join(meet(X1,complement(meet(X2,X3))),complement(join(X2,X4))) = meet(complement(meet(X2,X3)),meet(join(complement(X2),X1),join(X1,complement(join(join(X2,X4),meet(X2,X3)))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7031.0.2','0.5806.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2.2.2','L')]).
% 188.34/188.76 cnf('0.7031.0.4',plain,
% 188.34/188.76 ( join(meet(X1,complement(meet(X2,X3))),complement(join(X2,X4))) = meet(complement(meet(X2,X3)),meet(join(complement(X2),X1),join(X1,complement(join(X2,join(X4,meet(X2,X3))))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7031.0.3','0.8.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2.2.2.1','L')]).
% 188.34/188.76 cnf('0.7031.0.5',plain,
% 188.34/188.76 ( join(meet(X1,complement(meet(X2,X3))),complement(join(X2,X4))) = meet(complement(meet(X2,X3)),meet(join(complement(X2),X1),join(X1,complement(join(X2,X4))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7031.0.4','0.58.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2.2.2.1','L')]).
% 188.34/188.76 cnf('0.7031.0.6',plain,
% 188.34/188.76 ( join(meet(X1,complement(meet(X2,X3))),complement(join(X2,X4))) = meet(complement(meet(X2,X3)),join(X1,complement(join(X2,X4)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7031.0.5','0.6048.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2','L')]).
% 188.34/188.76 cnf('0.7031.1.0',plain,
% 188.34/188.76 ( join(meet(X1,complement(meet(X2,X3))),complement(join(X2,X4))) = meet(complement(meet(X2,X3)),join(X1,complement(join(X2,X4)))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.7031.0.6']),
% 188.34/188.76 [weight('<11,6048,5965,[1,0,0,1]>')]).
% 188.34/188.76 cnf('0.7031.2.0',plain,
% 188.34/188.76 ( join(meet(X1,complement(meet(X2,X3))),complement(join(X2,X4))) = meet(complement(meet(X2,X3)),join(X1,complement(join(X2,X4)))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.7031.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_6862]).
% 188.34/188.76 cnf('0.7737.0.0',plain,
% 188.34/188.76 ( join(X1,complement(join(X2,X1))) = ifeq(join(X2,join(X1,complement(join(X2,X1)))),one,ifeq(meet(X2,X1),zero,complement(X2),join(X1,complement(join(X2,X1)))),join(X1,complement(join(X2,X1)))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.6.2.0','0.4395.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.3.1','L')]).
% 188.34/188.76 cnf('0.7737.0.1',plain,
% 188.34/188.76 ( join(X1,complement(join(X2,X1))) = ifeq(one,one,ifeq(meet(X2,X1),zero,complement(X2),join(X1,complement(join(X2,X1)))),join(X1,complement(join(X2,X1)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7737.0.0','0.64.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.1','L')]).
% 188.34/188.76 cnf('0.7737.0.2',plain,
% 188.34/188.76 ( join(X1,complement(join(X2,X1))) = ifeq(meet(X2,X1),zero,complement(X2),join(X1,complement(join(X2,X1)))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7737.0.1','0.5.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.7737.1.0',plain,
% 188.34/188.76 ( join(X1,complement(join(X2,X1))) = ifeq(meet(X2,X1),zero,complement(X2),join(X1,complement(join(X2,X1)))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.7737.0.2']),
% 188.34/188.76 [weight('<13,4395,6,[0,0,0,6]>')]).
% 188.34/188.76 cnf('0.7737.2.0',plain,
% 188.34/188.76 ( ifeq(meet(X1,X2),zero,complement(X1),join(X2,complement(join(X1,X2)))) = join(X2,complement(join(X1,X2))) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.7737.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_7357]).
% 188.34/188.76 cnf('0.7738.0.0',plain,
% 188.34/188.76 ( join(meet(X1,complement(meet(X2,X1))),complement(join(X2,meet(X1,complement(meet(X2,X1)))))) = ifeq(zero,zero,complement(X2),join(meet(X1,complement(meet(X2,X1))),complement(join(X2,meet(X1,complement(meet(X2,X1))))))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.7737.2.0','0.65.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.1','L')]).
% 188.34/188.76 cnf('0.7738.0.1',plain,
% 188.34/188.76 ( meet(complement(meet(X2,X1)),join(X1,complement(join(X2,meet(X1,complement(meet(X2,X1))))))) = ifeq(zero,zero,complement(X2),join(meet(X1,complement(meet(X2,X1))),complement(join(X2,meet(X1,complement(meet(X2,X1))))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7738.0.0','0.7031.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('0.7738.0.2',plain,
% 188.34/188.76 ( meet(complement(meet(X2,X1)),join(X1,meet(complement(X2),join(complement(X1),meet(X2,X1))))) = ifeq(zero,zero,complement(X2),join(meet(X1,complement(meet(X2,X1))),complement(join(X2,meet(X1,complement(meet(X2,X1))))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7738.0.1','0.5819.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.2','L')]).
% 188.34/188.76 cnf('0.7738.0.3',plain,
% 188.34/188.76 ( meet(complement(meet(X2,X1)),join(X1,complement(join(X2,X1)))) = ifeq(zero,zero,complement(X2),join(meet(X1,complement(meet(X2,X1))),complement(join(X2,meet(X1,complement(meet(X2,X1))))))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7738.0.2','0.5845.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.2','L')]).
% 188.34/188.76 cnf('0.7738.0.4',plain,
% 188.34/188.76 ( meet(complement(meet(X2,X1)),join(X1,complement(join(X2,X1)))) = complement(X2) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7738.0.3','0.5.2.0',theory(equality)]),
% 188.34/188.76 [pos('R','L')]).
% 188.34/188.76 cnf('0.7738.1.0',plain,
% 188.34/188.76 ( meet(complement(meet(X2,X1)),join(X1,complement(join(X2,X1)))) = complement(X2) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.7738.0.4']),
% 188.34/188.76 [weight('<11,7737,65,[1,0,0,1]>')]).
% 188.34/188.76 cnf('0.7738.2.0',plain,
% 188.34/188.76 ( meet(complement(meet(X1,X2)),join(X2,complement(join(X1,X2)))) = complement(X1) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.7738.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_7358]).
% 188.34/188.76 cnf('0.7739.0.0',plain,
% 188.34/188.76 ( meet(X1,complement(meet(X2,X1))) = meet(X1,complement(X2)) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.60.2.0','0.7738.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.7739.1.0',plain,
% 188.34/188.76 ( meet(X1,complement(meet(X2,X1))) = meet(X1,complement(X2)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.7739.0.0']),
% 188.34/188.76 [weight('<6,7738,60,[0,0,0,2]>')]).
% 188.34/188.76 cnf('0.7739.2.0',plain,
% 188.34/188.76 ( meet(X1,complement(meet(X2,X1))) = meet(X1,complement(X2)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.7739.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_7359]).
% 188.34/188.76 cnf('0.7740.0.0',plain,
% 188.34/188.76 ( join(X1,meet(X2,complement(meet(X1,X2)))) = join(X1,X2) ),
% 188.34/188.76 inference(interreduction_right,[status(thm)],['0.5492.2.0'])).
% 188.34/188.76 cnf('0.7740.0.1',plain,
% 188.34/188.76 ( join(X1,meet(X2,complement(X1))) = join(X1,X2) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7740.0.0','0.7739.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.7740.1.0',plain,
% 188.34/188.76 ( join(X1,meet(X2,complement(X1))) = join(X1,X2) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.7740.0.1']),
% 188.34/188.76 [weight('<6,5492,7739,[0,0,0,0]>')]).
% 188.34/188.76 cnf('0.7740.2.0',plain,
% 188.34/188.76 ( join(X1,meet(X2,complement(X1))) = join(X1,X2) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.7740.1.0',theory(equality)]),
% 188.34/188.76 [u,rule_7360]).
% 188.34/188.76 cnf('0.7748.0.0',plain,
% 188.34/188.76 ( join(X1,X2) = join(X1,meet(complement(X1),X2)) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.7740.2.0','0.10.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.7748.1.0',plain,
% 188.34/188.76 ( join(X1,X2) = join(X1,meet(complement(X1),X2)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.7748.0.0']),
% 188.34/188.76 [weight('<6,7740,10,[1,0,0,2]>')]).
% 188.34/188.76 cnf('0.7748.2.0',plain,
% 188.34/188.76 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.7748.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_7368]).
% 188.34/188.76 cnf('0.7751.0.0',plain,
% 188.34/188.76 ( join(X1,meet(join(X2,meet(X1,complement(X1))),X3)) = meet(join(X1,meet(X2,complement(X1))),join(X1,meet(complement(X1),X3))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.7748.2.0','0.6806.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('0.7751.0.1',plain,
% 188.34/188.76 ( join(X1,meet(X2,join(X3,meet(X1,complement(X1))))) = meet(join(X1,meet(X2,complement(X1))),join(X1,meet(complement(X1),X3))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7751.0.0','0.6817.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('0.7751.0.2',plain,
% 188.34/188.76 ( join(X1,meet(X2,join(X3,zero))) = meet(join(X1,meet(X2,complement(X1))),join(X1,meet(complement(X1),X3))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7751.0.1','0.13.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.2.2','L')]).
% 188.34/188.76 cnf('0.7751.0.3',plain,
% 188.34/188.76 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,complement(X1))),join(X1,meet(complement(X1),X3))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7751.0.2','0.15.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2.2','L')]).
% 188.34/188.76 cnf('0.7751.0.4',plain,
% 188.34/188.76 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,meet(complement(X1),X3))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7751.0.3','0.7740.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.1','L')]).
% 188.34/188.76 cnf('0.7751.0.5',plain,
% 188.34/188.76 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7751.0.4','0.7748.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2','L')]).
% 188.34/188.76 cnf('0.7751.1.0',plain,
% 188.34/188.76 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.7751.0.5']),
% 188.34/188.76 [weight('<7,7748,6806,[1,0,0,0]>')]).
% 188.34/188.76 cnf('0.7751.2.0',plain,
% 188.34/188.76 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,X3)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.7751.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_7371]).
% 188.34/188.76 cnf('0.7758.0.0',plain,
% 188.34/188.76 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(X1,X3))) ),
% 188.34/188.76 inference(cp,[status(thm)],['0.49.2.0','0.7751.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('0.7758.1.0',plain,
% 188.34/188.76 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(X1,X3))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.7758.0.0']),
% 188.34/188.76 [weight('<7,7751,49,[0,0,0,2]>')]).
% 188.34/188.76 cnf('0.7758.2.0',plain,
% 188.34/188.76 ( meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,X3)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.7758.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_7378]).
% 188.34/188.76 cnf('0.7759.0.0',plain,
% 188.34/188.76 ( meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X3,meet(X2,X1))) ),
% 188.34/188.76 inference(interreduction_right,[status(thm)],['0.5908.2.0'])).
% 188.34/188.76 cnf('0.7759.0.1',plain,
% 188.34/188.76 ( meet(X1,join(X2,X3)) = meet(X1,join(X3,meet(X2,X1))) ),
% 188.34/188.76 inference(reduction,[status(thm)],['0.7759.0.0','0.7758.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('0.7759.1.0',plain,
% 188.34/188.76 ( meet(X1,join(X2,X3)) = meet(X1,join(X3,meet(X2,X1))) ),
% 188.34/188.76 inference(weigh,[status(thm)],['0.7759.0.1']),
% 188.34/188.76 [weight('<7,5908,7758,[0,0,0,0]>')]).
% 188.34/188.76 cnf('0.7759.2.0',plain,
% 188.34/188.76 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X3,X2)) ),
% 188.34/188.76 inference(orient,[status(thm)],['0.7759.1.0',theory(equality)]),
% 188.34/188.76 [x,rule_7379]).
% 188.34/188.76 cnf('1.0.0.0',conjecture,
% 188.34/188.76 ( join(meet(a,b),meet(a,c)) = meet(a,join(b,c)) ),
% 188.34/188.76 file('/tmp/WALDMEISTER_14033_n009',conjecture_1)).
% 188.34/188.76 cnf('1.0.0.1',plain,
% 188.34/188.76 ( meet(a,join(c,meet(b,a))) = meet(a,join(b,c)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['1.0.0.0','0.5900.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('1.0.0.2',plain,
% 188.34/188.76 ( meet(a,join(b,c)) = meet(a,join(b,c)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['1.0.0.1','0.7759.2.0',theory(equality)]),
% 188.34/188.76 [pos('L','L')]).
% 188.34/188.76 cnf('1.0.0.3',plain,
% 188.34/188.76 ( meet(a,join(c,b)) = meet(a,join(b,c)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['1.0.0.2','0.7.2.0',theory(equality)]),
% 188.34/188.76 [pos('L.2','L')]).
% 188.34/188.76 cnf('1.0.0.4',plain,
% 188.34/188.76 ( meet(a,join(c,b)) = meet(a,join(c,b)) ),
% 188.34/188.76 inference(reduction,[status(thm)],['1.0.0.3','0.7.2.0',theory(equality)]),
% 188.34/188.76 [pos('R.2','L')]).
% 188.34/188.76 cnf('1.0.0.5',plain,
% 188.34/188.76 ( $true ),
% 188.34/188.76 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 188.34/188.76 [conjecture_1]).
% 188.34/188.76
% 188.34/188.76 Proved Goals:
% 188.34/188.76 No. 1: join(meet(a,b),meet(a,c)) ?= meet(a,join(b,c)) joined, current: meet(a,join(c,b)) = meet(a,join(c,b))
% 188.34/188.76 1 goal was specified, which was proved.
% 188.34/188.76 % SZS output end CNFRefutation
% 188.34/188.76 #END OF PROOF
% 188.34/188.76
% 188.34/188.76 Problem WALDMEISTER_14033_n009
% 188.34/188.76 CPs.gen 46948471
% 188.34/188.76 CPs.reexp 0
% 188.34/188.76 Select 1302085
% 188.34/188.76 R 7379
% 188.34/188.76 E 380
% 188.34/188.76 vsize 15.2M
% 188.34/188.76 rss 10.6M
% 188.34/188.76 process.time 187.770s
% 188.34/188.76 wallclock.time 187.797s
% 188.34/188.76 status S
% 188.34/188.76
% 188.34/188.76
% 188.34/188.76 Waldmeister states: Goal proved.
% 188.34/188.76 % SZS status Unsatisfiable
%------------------------------------------------------------------------------