TSTP Solution File: LAT020-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT020-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n014.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 07:14:46 EDT 2022
% Result : Unsatisfiable 5.86s 6.26s
% Output : CNFRefutation 5.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT020-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 30 13:20:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.99 * |/ | \/ | *
% 0.59/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.99 * A. Jaeger and B. Loechner | | *
% 0.59/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.59/0.99
% 0.59/0.99 Goals:
% 0.59/0.99 ------
% 0.59/0.99
% 0.59/0.99 ( 1) join(meet(a,b),meet(a,c)) ?=? meet(a,join(b,c))
% 0.59/0.99
% 0.59/0.99 Detected structure: Verband
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 5.86/6.26 joined goal: 1 join(meet(a,b),meet(a,c)) ?= meet(a,join(b,c)) to meet(a,join(c,b))
% 5.86/6.26 goal joined
% 5.86/6.26 % SZS status Unsatisfiable
% 5.86/6.26 #START OF PROOF
% 5.86/6.26 % SZS output start CNFRefutation
% 5.86/6.26 cnf('0.1.0.0',axiom,
% 5.86/6.26 ( X1 = join(X1,X1) ),
% 5.86/6.26 file('/tmp/WALDMEISTER_28163_n014')).
% 5.86/6.26 cnf('0.1.1.0',plain,
% 5.86/6.26 ( X1 = join(X1,X1) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.1.0.0']),
% 5.86/6.26 [weight('<0,0,0,[0,0,0,1]>')]).
% 5.86/6.26 cnf('0.1.2.0',plain,
% 5.86/6.26 ( join(X1,X1) = X1 ),
% 5.86/6.26 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_1]).
% 5.86/6.26 cnf('0.2.0.0',axiom,
% 5.86/6.26 ( X1 = meet(X1,X1) ),
% 5.86/6.26 file('/tmp/WALDMEISTER_28163_n014')).
% 5.86/6.26 cnf('0.2.1.0',plain,
% 5.86/6.26 ( X1 = meet(X1,X1) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.2.0.0']),
% 5.86/6.26 [weight('<1,0,0,[0,0,0,2]>')]).
% 5.86/6.26 cnf('0.2.2.0',plain,
% 5.86/6.26 ( meet(X1,X1) = X1 ),
% 5.86/6.26 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_2]).
% 5.86/6.26 cnf('0.3.0.0',axiom,
% 5.86/6.26 ( join(X1,X2) = join(X2,X1) ),
% 5.86/6.26 file('/tmp/WALDMEISTER_28163_n014')).
% 5.86/6.26 cnf('0.3.1.0',plain,
% 5.86/6.26 ( join(X1,X2) = join(X2,X1) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.3.0.0']),
% 5.86/6.26 [weight('<2,0,0,[0,0,0,3]>')]).
% 5.86/6.26 cnf('0.3.2.0',plain,
% 5.86/6.26 ( join(X1,X2) = join(X2,X1) ),
% 5.86/6.26 inference(activate,[status(thm)],['0.3.1.0']),
% 5.86/6.26 [equation_1]).
% 5.86/6.26 cnf('0.4.0.0',axiom,
% 5.86/6.26 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 5.86/6.26 file('/tmp/WALDMEISTER_28163_n014')).
% 5.86/6.26 cnf('0.4.1.0',plain,
% 5.86/6.26 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.4.0.0']),
% 5.86/6.26 [weight('<3,0,0,[0,0,0,4]>')]).
% 5.86/6.26 cnf('0.4.2.0',plain,
% 5.86/6.26 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_3]).
% 5.86/6.26 cnf('0.5.0.0',axiom,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X1,X2)) ),
% 5.86/6.26 file('/tmp/WALDMEISTER_28163_n014')).
% 5.86/6.26 cnf('0.5.1.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X1,X2)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.5.0.0']),
% 5.86/6.26 [weight('<4,0,0,[0,0,0,5]>')]).
% 5.86/6.26 cnf('0.5.2.0',plain,
% 5.86/6.26 ( meet(join(X1,meet(X2,X3)),join(X1,X2)) = join(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_4]).
% 5.86/6.26 cnf('0.6.0.0',axiom,
% 5.86/6.26 ( join(meet(X1,join(X2,X3)),meet(X1,X2)) = meet(X1,join(X2,X3)) ),
% 5.86/6.26 file('/tmp/WALDMEISTER_28163_n014')).
% 5.86/6.26 cnf('0.6.1.0',plain,
% 5.86/6.26 ( join(meet(X1,join(X2,X3)),meet(X1,X2)) = meet(X1,join(X2,X3)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.6.0.0']),
% 5.86/6.26 [weight('<5,0,0,[0,0,0,6]>')]).
% 5.86/6.26 cnf('0.6.1.1',plain,
% 5.86/6.26 ( join(meet(X1,X2),meet(X1,join(X2,X3))) = meet(X1,join(X2,X3)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.6.1.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L','L')]).
% 5.86/6.26 cnf('0.6.2.0',plain,
% 5.86/6.26 ( join(meet(X1,X2),meet(X1,join(X2,X3))) = meet(X1,join(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.6.1.1',theory(equality)]),
% 5.86/6.26 [u,rule_5]).
% 5.86/6.26 cnf('0.7.0.0',axiom,
% 5.86/6.26 ( join(meet(join(meet(X1,X2),X3),X2),meet(X3,X1)) = meet(join(meet(join(X1,X2),X3),X2),join(X3,X1)) ),
% 5.86/6.26 file('/tmp/WALDMEISTER_28163_n014')).
% 5.86/6.26 cnf('0.7.1.0',plain,
% 5.86/6.26 ( join(meet(join(meet(X1,X2),X3),X2),meet(X3,X1)) = meet(join(meet(join(X1,X2),X3),X2),join(X3,X1)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.7.0.0']),
% 5.86/6.26 [weight('<6,0,0,[0,0,0,7]>')]).
% 5.86/6.26 cnf('0.7.1.1',plain,
% 5.86/6.26 ( join(meet(X3,X1),meet(join(meet(X1,X2),X3),X2)) = meet(join(meet(join(X1,X2),X3),X2),join(X3,X1)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.7.1.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L','L')]).
% 5.86/6.26 cnf('0.7.1.2',plain,
% 5.86/6.26 ( join(meet(X3,X1),meet(join(meet(X1,X2),X3),X2)) = meet(join(X2,meet(join(X1,X2),X3)),join(X3,X1)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.7.1.1','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('R.1','L')]).
% 5.86/6.26 cnf('0.7.2.0',plain,
% 5.86/6.26 ( join(meet(X1,X2),meet(join(meet(X2,X3),X1),X3)) = meet(join(X3,meet(join(X2,X3),X1)),join(X1,X2)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.7.1.2',theory(equality)]),
% 5.86/6.26 [u,rule_6]).
% 5.86/6.26 cnf('0.8.0.0',axiom,
% 5.86/6.26 ( meet(X1,X2) = meet(X2,X1) ),
% 5.86/6.26 file('/tmp/WALDMEISTER_28163_n014')).
% 5.86/6.26 cnf('0.8.1.0',plain,
% 5.86/6.26 ( meet(X1,X2) = meet(X2,X1) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.8.0.0']),
% 5.86/6.26 [weight('<7,0,0,[0,0,0,8]>')]).
% 5.86/6.26 cnf('0.8.2.0',plain,
% 5.86/6.26 ( meet(X1,X2) = meet(X2,X1) ),
% 5.86/6.26 inference(activate,[status(thm)],['0.8.1.0']),
% 5.86/6.26 [equation_2]).
% 5.86/6.26 cnf('0.9.0.0',axiom,
% 5.86/6.26 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 5.86/6.26 file('/tmp/WALDMEISTER_28163_n014')).
% 5.86/6.26 cnf('0.9.1.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.9.0.0']),
% 5.86/6.26 [weight('<8,0,0,[0,0,0,9]>')]).
% 5.86/6.26 cnf('0.9.2.0',plain,
% 5.86/6.26 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_7]).
% 5.86/6.26 cnf('0.10.0.0',plain,
% 5.86/6.26 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.10.1.0',plain,
% 5.86/6.26 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.10.0.0']),
% 5.86/6.26 [weight('<5,4,1,[1,0,0,1]>')]).
% 5.86/6.26 cnf('0.10.2.0',plain,
% 5.86/6.26 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_8]).
% 5.86/6.26 cnf('0.11.0.0',plain,
% 5.86/6.26 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.9.2.0','0.2.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.11.1.0',plain,
% 5.86/6.26 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.11.0.0']),
% 5.86/6.26 [weight('<5,9,2,[1,0,0,1]>')]).
% 5.86/6.26 cnf('0.11.2.0',plain,
% 5.86/6.26 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_9]).
% 5.86/6.26 cnf('0.12.0.0',plain,
% 5.86/6.26 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.10.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.12.1.0',plain,
% 5.86/6.26 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.12.0.0']),
% 5.86/6.26 [weight('<5,10,3,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.12.2.0',plain,
% 5.86/6.26 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_10]).
% 5.86/6.26 cnf('0.13.0.0',plain,
% 5.86/6.26 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.11.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.13.1.0',plain,
% 5.86/6.26 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.13.0.0']),
% 5.86/6.26 [weight('<5,11,8,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.13.2.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_11]).
% 5.86/6.26 cnf('0.14.0.0',plain,
% 5.86/6.26 ( meet(X1,join(X1,X2)) = join(X1,meet(X1,join(X1,X2))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.14.1.0',plain,
% 5.86/6.26 ( meet(X1,join(X1,X2)) = join(X1,meet(X1,join(X1,X2))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.14.0.0']),
% 5.86/6.26 [weight('<7,6,2,[1,0,0,1]>')]).
% 5.86/6.26 cnf('0.14.2.0',plain,
% 5.86/6.26 ( join(X1,meet(X1,join(X1,X2))) = meet(X1,join(X1,X2)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_12]).
% 5.86/6.26 cnf('0.15.0.0',plain,
% 5.86/6.26 ( join(X1,join(join(X2,X1),X3)) = join(join(X1,X2),X3) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.4.2.0','0.12.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.15.0.1',plain,
% 5.86/6.26 ( join(X1,join(X2,join(X1,X3))) = join(join(X1,X2),X3) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.15.0.0','0.4.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.15.0.2',plain,
% 5.86/6.26 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.15.0.1','0.4.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.15.1.0',plain,
% 5.86/6.26 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.15.0.2']),
% 5.86/6.26 [weight('<7,12,4,[0,0,0,1]>')]).
% 5.86/6.26 cnf('0.15.2.0',plain,
% 5.86/6.26 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_13]).
% 5.86/6.26 cnf('0.16.0.0',plain,
% 5.86/6.26 ( join(X1,join(X2,X3)) = join(X1,join(X2,join(X3,X1))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.12.2.0','0.4.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.16.1.0',plain,
% 5.86/6.26 ( join(X1,join(X2,X3)) = join(X1,join(X2,join(X3,X1))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.16.0.0']),
% 5.86/6.26 [weight('<7,12,4,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.16.2.0',plain,
% 5.86/6.26 ( join(X1,join(X2,join(X3,X1))) = join(X1,join(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_14]).
% 5.86/6.26 cnf('0.17.0.0',plain,
% 5.86/6.26 ( meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X1,X2),X3) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.9.2.0','0.13.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.17.0.1',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(X1,X3))) = meet(meet(X1,X2),X3) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.17.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.17.0.2',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.17.0.1','0.9.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.17.1.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.17.0.2']),
% 5.86/6.26 [weight('<7,13,9,[0,0,0,1]>')]).
% 5.86/6.26 cnf('0.17.2.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_15]).
% 5.86/6.26 cnf('0.18.0.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(X3,X1))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.13.2.0','0.9.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.18.1.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(X3,X1))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.18.0.0']),
% 5.86/6.26 [weight('<7,13,9,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.18.2.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(X3,X1))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_16]).
% 5.86/6.26 cnf('0.19.0.0',plain,
% 5.86/6.26 ( meet(X1,join(X1,X2)) = join(X1,meet(X1,join(X2,X1))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.14.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2','L')]).
% 5.86/6.26 cnf('0.19.1.0',plain,
% 5.86/6.26 ( meet(X1,join(X1,X2)) = join(X1,meet(X1,join(X2,X1))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.19.0.0']),
% 5.86/6.26 [weight('<7,14,3,[1,0,0,4]>')]).
% 5.86/6.26 cnf('0.19.2.0',plain,
% 5.86/6.26 ( join(X1,meet(X1,join(X2,X1))) = meet(X1,join(X1,X2)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_17]).
% 5.86/6.26 cnf('0.20.0.0',plain,
% 5.86/6.26 ( meet(join(X1,meet(X2,X3)),join(X1,X2)) = join(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 5.86/6.26 cnf('0.20.1.0',plain,
% 5.86/6.26 ( meet(join(X1,meet(X2,X3)),join(X1,X2)) = join(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.20.0.0']),
% 5.86/6.26 [weight('<9,5,8,[0,0,0,0]>')]).
% 5.86/6.26 cnf('0.20.1.1',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.20.1.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('L','L')]).
% 5.86/6.26 cnf('0.20.2.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.20.1.1',theory(equality)]),
% 5.86/6.26 [u,rule_18]).
% 5.86/6.26 cnf('0.21.0.0',plain,
% 5.86/6.26 ( join(X1,meet(X1,X2)) = meet(X1,join(X1,meet(X1,X2))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.20.2.0','0.1.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.21.1.0',plain,
% 5.86/6.26 ( join(X1,meet(X1,X2)) = meet(X1,join(X1,meet(X1,X2))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.21.0.0']),
% 5.86/6.26 [weight('<7,20,1,[1,0,0,1]>')]).
% 5.86/6.26 cnf('0.21.2.0',plain,
% 5.86/6.26 ( meet(X1,join(X1,meet(X1,X2))) = join(X1,meet(X1,X2)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_19]).
% 5.86/6.26 cnf('0.22.0.0',plain,
% 5.86/6.26 ( join(X1,meet(X1,X2)) = meet(X1,join(X1,meet(X2,X1))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.21.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2','L')]).
% 5.86/6.26 cnf('0.22.1.0',plain,
% 5.86/6.26 ( join(X1,meet(X1,X2)) = meet(X1,join(X1,meet(X2,X1))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.22.0.0']),
% 5.86/6.26 [weight('<7,21,8,[1,0,0,4]>')]).
% 5.86/6.26 cnf('0.22.2.0',plain,
% 5.86/6.26 ( meet(X1,join(X1,meet(X2,X1))) = join(X1,meet(X1,X2)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_20]).
% 5.86/6.26 cnf('0.23.0.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X1,X2)) = join(meet(join(X1,X2),X1),join(X1,X2)) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.23.0.1',plain,
% 5.86/6.26 ( join(X1,X2) = join(meet(join(X1,X2),X1),join(X1,X2)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.23.0.0','0.2.2.0',theory(equality)]),
% 5.86/6.26 [pos('L','L')]).
% 5.86/6.26 cnf('0.23.1.0',plain,
% 5.86/6.26 ( join(X1,X2) = join(meet(join(X1,X2),X1),join(X1,X2)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.23.0.1']),
% 5.86/6.26 [weight('<9,6,2,[1,0,0,4]>')]).
% 5.86/6.26 cnf('0.23.1.1',plain,
% 5.86/6.26 ( join(X1,X2) = join(join(X1,X2),meet(join(X1,X2),X1)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.23.1.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.23.1.2',plain,
% 5.86/6.26 ( join(X1,X2) = join(X1,join(X2,meet(join(X1,X2),X1))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.23.1.1','0.4.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.23.1.3',plain,
% 5.86/6.26 ( join(X1,X2) = join(X1,join(X2,meet(X1,join(X1,X2)))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.23.1.2','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('R.2.2','L')]).
% 5.86/6.26 cnf('0.23.2.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X1,join(X1,X2)))) = join(X1,X2) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.23.1.3',theory(equality)]),
% 5.86/6.26 [x,rule_21]).
% 5.86/6.26 cnf('0.24.0.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X2,join(X2,X1)))) = join(X1,join(X2,X1)) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.15.2.0','0.23.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.24.0.1',plain,
% 5.86/6.26 ( join(X1,meet(X2,join(X2,X1))) = join(X1,join(X2,X1)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.24.0.0','0.14.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.24.0.2',plain,
% 5.86/6.26 ( join(X1,meet(X2,join(X2,X1))) = join(X1,X2) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.24.0.1','0.12.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.24.1.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,join(X2,X1))) = join(X1,X2) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.24.0.2']),
% 5.86/6.26 [weight('<7,23,15,[0,0,0,2]>')]).
% 5.86/6.26 cnf('0.24.2.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,join(X2,X1))) = join(X1,X2) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_22]).
% 5.86/6.26 cnf('0.25.0.0',plain,
% 5.86/6.26 ( join(X1,X2) = join(X1,meet(X2,join(X1,X2))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.24.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2','L')]).
% 5.86/6.26 cnf('0.25.1.0',plain,
% 5.86/6.26 ( join(X1,X2) = join(X1,meet(X2,join(X1,X2))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.25.0.0']),
% 5.86/6.26 [weight('<7,24,3,[1,0,0,4]>')]).
% 5.86/6.26 cnf('0.25.2.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,join(X1,X2))) = join(X1,X2) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_23]).
% 5.86/6.26 cnf('0.26.0.0',plain,
% 5.86/6.26 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,join(X3,X2))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2','L')]).
% 5.86/6.26 cnf('0.26.1.0',plain,
% 5.86/6.26 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,join(X3,X2))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.26.0.0']),
% 5.86/6.26 [weight('<9,6,3,[1,0,0,6]>')]).
% 5.86/6.26 cnf('0.26.2.0',plain,
% 5.86/6.26 ( join(meet(X1,X2),meet(X1,join(X3,X2))) = meet(X1,join(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_24]).
% 5.86/6.26 cnf('0.27.0.0',plain,
% 5.86/6.26 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,join(X2,X3))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.6.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.27.1.0',plain,
% 5.86/6.26 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,join(X2,X3))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.27.0.0']),
% 5.86/6.26 [weight('<9,8,6,[0,0,0,1]>')]).
% 5.86/6.26 cnf('0.27.2.0',plain,
% 5.86/6.26 ( join(meet(X1,X2),meet(X2,join(X1,X3))) = meet(X2,join(X1,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_25]).
% 5.86/6.26 cnf('0.30.0.0',plain,
% 5.86/6.26 ( join(X1,join(meet(X1,join(X1,X2)),X3)) = join(meet(X1,join(X1,X2)),X3) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.4.2.0','0.14.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.30.1.0',plain,
% 5.86/6.26 ( join(X1,join(meet(X1,join(X1,X2)),X3)) = join(meet(X1,join(X1,X2)),X3) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.30.0.0']),
% 5.86/6.26 [weight('<9,14,4,[0,0,0,1]>')]).
% 5.86/6.26 cnf('0.30.2.0',plain,
% 5.86/6.26 ( join(X1,join(meet(X1,join(X1,X2)),X3)) = join(meet(X1,join(X1,X2)),X3) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_28]).
% 5.86/6.26 cnf('0.31.0.0',plain,
% 5.86/6.26 ( join(X1,join(join(X2,X3),X4)) = join(X1,join(X2,join(X3,join(X1,X4)))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.15.2.0','0.4.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.31.0.1',plain,
% 5.86/6.26 ( join(X1,join(X2,join(X3,X4))) = join(X1,join(X2,join(X3,join(X1,X4)))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.31.0.0','0.4.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.31.1.0',plain,
% 5.86/6.26 ( join(X1,join(X2,join(X3,X4))) = join(X1,join(X2,join(X3,join(X1,X4)))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.31.0.1']),
% 5.86/6.26 [weight('<9,15,4,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.31.2.0',plain,
% 5.86/6.26 ( join(X1,join(X2,join(X3,join(X1,X4)))) = join(X1,join(X2,join(X3,X4))) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_29]).
% 5.86/6.26 cnf('0.34.0.0',plain,
% 5.86/6.26 ( meet(X1,meet(meet(X2,X3),X4)) = meet(X1,meet(X2,meet(X3,meet(X1,X4)))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.17.2.0','0.9.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.34.0.1',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(X3,X4))) = meet(X1,meet(X2,meet(X3,meet(X1,X4)))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.34.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.34.1.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(X3,X4))) = meet(X1,meet(X2,meet(X3,meet(X1,X4)))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.34.0.1']),
% 5.86/6.26 [weight('<9,17,9,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.34.2.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(X3,meet(X1,X4)))) = meet(X1,meet(X2,meet(X3,X4))) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_32]).
% 5.86/6.26 cnf('0.36.0.0',plain,
% 5.86/6.26 ( join(X1,join(meet(X1,join(X2,X1)),X3)) = join(meet(X1,join(X1,X2)),X3) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.4.2.0','0.19.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.36.1.0',plain,
% 5.86/6.26 ( join(X1,join(meet(X1,join(X2,X1)),X3)) = join(meet(X1,join(X1,X2)),X3) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.36.0.0']),
% 5.86/6.26 [weight('<9,19,4,[0,0,0,1]>')]).
% 5.86/6.26 cnf('0.36.2.0',plain,
% 5.86/6.26 ( join(X1,join(meet(X1,join(X2,X1)),X3)) = join(meet(X1,join(X1,X2)),X3) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_34]).
% 5.86/6.26 cnf('0.38.0.0',plain,
% 5.86/6.26 ( join(meet(X1,X2),meet(X1,X2)) = meet(join(meet(X1,X2),X1),meet(X1,X2)) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.20.2.0','0.1.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.38.0.1',plain,
% 5.86/6.26 ( meet(X1,X2) = meet(join(meet(X1,X2),X1),meet(X1,X2)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.38.0.0','0.1.2.0',theory(equality)]),
% 5.86/6.26 [pos('L','L')]).
% 5.86/6.26 cnf('0.38.1.0',plain,
% 5.86/6.26 ( meet(X1,X2) = meet(join(meet(X1,X2),X1),meet(X1,X2)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.38.0.1']),
% 5.86/6.26 [weight('<9,20,1,[1,0,0,4]>')]).
% 5.86/6.26 cnf('0.38.1.1',plain,
% 5.86/6.26 ( meet(X1,X2) = meet(meet(X1,X2),join(meet(X1,X2),X1)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.38.1.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.38.1.2',plain,
% 5.86/6.26 ( meet(X1,X2) = meet(X1,meet(X2,join(meet(X1,X2),X1))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.38.1.1','0.9.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.38.1.3',plain,
% 5.86/6.26 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,meet(X1,X2)))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.38.1.2','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('R.2.2','L')]).
% 5.86/6.26 cnf('0.38.2.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,join(X1,meet(X1,X2)))) = meet(X1,X2) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.38.1.3',theory(equality)]),
% 5.86/6.26 [x,rule_36]).
% 5.86/6.26 cnf('0.39.0.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,join(X2,meet(X2,X1)))) = meet(X1,meet(X2,X1)) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.17.2.0','0.38.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.39.0.1',plain,
% 5.86/6.26 ( meet(X1,join(X2,meet(X2,X1))) = meet(X1,meet(X2,X1)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.39.0.0','0.21.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.39.0.2',plain,
% 5.86/6.26 ( meet(X1,join(X2,meet(X2,X1))) = meet(X1,X2) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.39.0.1','0.13.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.39.1.0',plain,
% 5.86/6.26 ( meet(X1,join(X2,meet(X2,X1))) = meet(X1,X2) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.39.0.2']),
% 5.86/6.26 [weight('<7,38,17,[0,0,0,2]>')]).
% 5.86/6.26 cnf('0.39.2.0',plain,
% 5.86/6.26 ( meet(X1,join(X2,meet(X2,X1))) = meet(X1,X2) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_37]).
% 5.86/6.26 cnf('0.40.0.0',plain,
% 5.86/6.26 ( meet(X1,X2) = meet(X1,join(X2,meet(X1,X2))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.39.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2','L')]).
% 5.86/6.26 cnf('0.40.1.0',plain,
% 5.86/6.26 ( meet(X1,X2) = meet(X1,join(X2,meet(X1,X2))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.40.0.0']),
% 5.86/6.26 [weight('<7,39,8,[1,0,0,4]>')]).
% 5.86/6.26 cnf('0.40.2.0',plain,
% 5.86/6.26 ( meet(X1,join(X2,meet(X1,X2))) = meet(X1,X2) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_38]).
% 5.86/6.26 cnf('0.41.0.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,meet(X2,X3))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.41.1.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,meet(X2,X3))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.41.0.0']),
% 5.86/6.26 [weight('<9,20,3,[1,0,0,1]>')]).
% 5.86/6.26 cnf('0.41.2.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X2,meet(X1,X3))) = join(X2,meet(X1,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_39]).
% 5.86/6.26 cnf('0.44.0.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,meet(X3,X2))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.20.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2','L')]).
% 5.86/6.26 cnf('0.44.1.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,meet(X3,X2))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.44.0.0']),
% 5.86/6.26 [weight('<9,20,8,[1,0,0,6]>')]).
% 5.86/6.26 cnf('0.44.2.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X1,meet(X3,X2))) = join(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_42]).
% 5.86/6.26 cnf('0.45.0.0',plain,
% 5.86/6.26 ( meet(X1,meet(join(X1,meet(X1,X2)),X3)) = meet(join(X1,meet(X1,X2)),X3) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.9.2.0','0.21.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.45.1.0',plain,
% 5.86/6.26 ( meet(X1,meet(join(X1,meet(X1,X2)),X3)) = meet(join(X1,meet(X1,X2)),X3) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.45.0.0']),
% 5.86/6.26 [weight('<9,21,9,[0,0,0,1]>')]).
% 5.86/6.26 cnf('0.45.2.0',plain,
% 5.86/6.26 ( meet(X1,meet(join(X1,meet(X1,X2)),X3)) = meet(join(X1,meet(X1,X2)),X3) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_43]).
% 5.86/6.26 cnf('0.50.0.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,join(X3,X1)))) = join(X1,join(X2,join(X1,X3))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.15.2.0','0.24.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2','L')]).
% 5.86/6.26 cnf('0.50.0.1',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,join(X3,X1)))) = join(X1,join(X2,X3)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.50.0.0','0.15.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.50.1.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,join(X3,X1)))) = join(X1,join(X2,X3)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.50.0.1']),
% 5.86/6.26 [weight('<9,24,15,[0,0,0,4]>')]).
% 5.86/6.26 cnf('0.50.2.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,join(X3,X1)))) = join(X1,join(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_48]).
% 5.86/6.26 cnf('0.51.0.0',plain,
% 5.86/6.26 ( join(X1,join(meet(X2,X1),X2)) = join(X1,meet(X2,join(X1,X2))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.50.2.0','0.26.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.51.0.1',plain,
% 5.86/6.26 ( join(X1,join(meet(X2,X1),X2)) = join(X1,X2) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.51.0.0','0.25.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.51.1.0',plain,
% 5.86/6.26 ( join(X1,join(meet(X2,X1),X2)) = join(X1,X2) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.51.0.1']),
% 5.86/6.26 [weight('<7,50,26,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.51.1.1',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X2,X1))) = join(X1,X2) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.51.1.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.51.2.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X2,X1))) = join(X1,X2) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.51.1.1',theory(equality)]),
% 5.86/6.26 [u,rule_49]).
% 5.86/6.26 cnf('0.55.0.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,join(X1,X3)))) = join(X1,join(X2,join(X1,X3))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.15.2.0','0.25.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2','L')]).
% 5.86/6.26 cnf('0.55.0.1',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,join(X1,X3)))) = join(X1,join(X2,X3)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.55.0.0','0.15.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.55.1.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,join(X1,X3)))) = join(X1,join(X2,X3)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.55.0.1']),
% 5.86/6.26 [weight('<9,25,15,[0,0,0,4]>')]).
% 5.86/6.26 cnf('0.55.2.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,join(X1,X3)))) = join(X1,join(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_53]).
% 5.86/6.26 cnf('0.56.0.0',plain,
% 5.86/6.26 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,join(X3,X2))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.26.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.56.1.0',plain,
% 5.86/6.26 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,join(X3,X2))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.56.0.0']),
% 5.86/6.26 [weight('<9,26,8,[1,0,0,1]>')]).
% 5.86/6.26 cnf('0.56.2.0',plain,
% 5.86/6.26 ( join(meet(X1,X2),meet(X2,join(X3,X1))) = meet(X2,join(X1,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_54]).
% 5.86/6.26 cnf('0.58.0.0',plain,
% 5.86/6.26 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(join(X2,X3),X1)) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.27.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.58.1.0',plain,
% 5.86/6.26 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(join(X2,X3),X1)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.58.0.0']),
% 5.86/6.26 [weight('<9,27,8,[1,0,0,4]>')]).
% 5.86/6.26 cnf('0.58.2.0',plain,
% 5.86/6.26 ( join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(X2,join(X1,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_56]).
% 5.86/6.26 cnf('0.59.0.0',plain,
% 5.86/6.26 ( join(meet(X1,join(X1,X2)),X3) = join(X1,join(X3,meet(X1,join(X1,X2)))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.30.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.59.1.0',plain,
% 5.86/6.26 ( join(meet(X1,join(X1,X2)),X3) = join(X1,join(X3,meet(X1,join(X1,X2)))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.59.0.0']),
% 5.86/6.26 [weight('<9,30,3,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.59.2.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X1,join(X1,X3)))) = join(meet(X1,join(X1,X3)),X2) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_57]).
% 5.86/6.26 cnf('0.60.0.0',plain,
% 5.86/6.26 ( join(meet(X1,join(X1,X2)),join(X1,X3)) = join(meet(X1,join(X1,X2)),join(meet(X1,join(X1,X2)),X3)) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.15.2.0','0.30.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.60.0.1',plain,
% 5.86/6.26 ( join(meet(X1,join(X1,X2)),join(X1,X3)) = join(meet(X1,join(X1,X2)),X3) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.60.0.0','0.10.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.60.1.0',plain,
% 5.86/6.26 ( join(meet(X1,join(X1,X2)),join(X1,X3)) = join(meet(X1,join(X1,X2)),X3) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.60.0.1']),
% 5.86/6.26 [weight('<9,30,15,[0,0,0,2]>')]).
% 5.86/6.26 cnf('0.60.2.0',plain,
% 5.86/6.26 ( join(meet(X1,join(X1,X2)),join(X1,X3)) = join(meet(X1,join(X1,X2)),X3) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_58]).
% 5.86/6.26 cnf('0.61.0.0',plain,
% 5.86/6.26 ( join(meet(X1,join(X1,X2)),meet(join(X1,X2),join(X1,X3))) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.30.2.0','0.27.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.61.0.1',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.61.0.0','0.27.2.0',theory(equality)]),
% 5.86/6.26 [pos('L','L')]).
% 5.86/6.26 cnf('0.61.1.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.61.0.1']),
% 5.86/6.26 [weight('<9,30,27,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.61.2.0',plain,
% 5.86/6.26 ( join(X1,meet(join(X1,X2),join(X1,X3))) = meet(join(X1,X2),join(X1,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_59]).
% 5.86/6.26 cnf('0.66.0.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,join(X3,meet(X3,X1)))) = meet(X1,meet(X2,meet(X1,X3))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.17.2.0','0.39.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2','L')]).
% 5.86/6.26 cnf('0.66.0.1',plain,
% 5.86/6.26 ( meet(X1,meet(X2,join(X3,meet(X3,X1)))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.66.0.0','0.17.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.66.1.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,join(X3,meet(X3,X1)))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.66.0.1']),
% 5.86/6.26 [weight('<9,39,17,[0,0,0,4]>')]).
% 5.86/6.26 cnf('0.66.2.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,join(X3,meet(X3,X1)))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_64]).
% 5.86/6.26 cnf('0.67.0.0',plain,
% 5.86/6.26 ( meet(X1,meet(join(X2,X1),X2)) = meet(X1,join(X2,meet(X1,X2))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.66.2.0','0.44.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.67.0.1',plain,
% 5.86/6.26 ( meet(X1,meet(join(X2,X1),X2)) = meet(X1,X2) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.67.0.0','0.40.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.67.1.0',plain,
% 5.86/6.26 ( meet(X1,meet(join(X2,X1),X2)) = meet(X1,X2) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.67.0.1']),
% 5.86/6.26 [weight('<7,66,44,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.67.1.1',plain,
% 5.86/6.26 ( meet(X1,meet(X2,join(X2,X1))) = meet(X1,X2) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.67.1.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.67.2.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,join(X2,X1))) = meet(X1,X2) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.67.1.1',theory(equality)]),
% 5.86/6.26 [u,rule_65]).
% 5.86/6.26 cnf('0.68.0.0',plain,
% 5.86/6.26 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X2))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.67.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2','L')]).
% 5.86/6.26 cnf('0.68.1.0',plain,
% 5.86/6.26 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X2))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.68.0.0']),
% 5.86/6.26 [weight('<7,67,3,[1,0,0,4]>')]).
% 5.86/6.26 cnf('0.68.2.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,join(X1,X2))) = meet(X1,X2) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_66]).
% 5.86/6.26 cnf('0.72.0.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = meet(join(X2,X1),join(meet(X2,X3),X1)) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.41.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.72.1.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = meet(join(X2,X1),join(meet(X2,X3),X1)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.72.0.0']),
% 5.86/6.26 [weight('<9,41,3,[1,0,0,4]>')]).
% 5.86/6.26 cnf('0.72.2.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(X2,meet(X1,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_70]).
% 5.86/6.26 cnf('0.73.0.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,meet(X3,X2))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.41.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2','L')]).
% 5.86/6.26 cnf('0.73.1.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,meet(X3,X2))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.73.0.0']),
% 5.86/6.26 [weight('<9,41,8,[1,0,0,6]>')]).
% 5.86/6.26 cnf('0.73.2.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X2,meet(X3,X1))) = join(X2,meet(X1,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_71]).
% 5.86/6.26 cnf('0.77.0.0',plain,
% 5.86/6.26 ( meet(join(X1,meet(X1,X2)),join(meet(X1,X2),meet(X1,X3))) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.45.2.0','0.41.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.77.0.1',plain,
% 5.86/6.26 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.77.0.0','0.41.2.0',theory(equality)]),
% 5.86/6.26 [pos('L','L')]).
% 5.86/6.26 cnf('0.77.1.0',plain,
% 5.86/6.26 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.77.0.1']),
% 5.86/6.26 [weight('<9,45,41,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.77.2.0',plain,
% 5.86/6.26 ( meet(X1,join(meet(X1,X2),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_75]).
% 5.86/6.26 cnf('0.81.0.0',plain,
% 5.86/6.26 ( join(X1,join(join(X2,meet(X2,X1)),X3)) = join(join(X1,X2),X3) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.4.2.0','0.51.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.81.0.1',plain,
% 5.86/6.26 ( join(X1,join(X2,join(meet(X2,X1),X3))) = join(join(X1,X2),X3) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.81.0.0','0.4.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.81.0.2',plain,
% 5.86/6.26 ( join(X1,join(X2,join(meet(X2,X1),X3))) = join(X1,join(X2,X3)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.81.0.1','0.4.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.81.1.0',plain,
% 5.86/6.26 ( join(X1,join(X2,join(meet(X2,X1),X3))) = join(X1,join(X2,X3)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.81.0.2']),
% 5.86/6.26 [weight('<9,51,4,[0,0,0,1]>')]).
% 5.86/6.26 cnf('0.81.2.0',plain,
% 5.86/6.26 ( join(X1,join(X2,join(meet(X2,X1),X3))) = join(X1,join(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_79]).
% 5.86/6.26 cnf('0.85.0.0',plain,
% 5.86/6.26 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(join(X3,X2),X1)) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.56.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.85.1.0',plain,
% 5.86/6.26 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(join(X3,X2),X1)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.85.0.0']),
% 5.86/6.26 [weight('<9,56,8,[1,0,0,4]>')]).
% 5.86/6.26 cnf('0.85.2.0',plain,
% 5.86/6.26 ( join(meet(X1,X2),meet(join(X3,X1),X2)) = meet(X2,join(X1,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_83]).
% 5.86/6.26 cnf('0.86.0.0',plain,
% 5.86/6.26 ( join(meet(X1,join(X1,X2)),X3) = join(meet(X1,join(X2,X1)),join(X1,X3)) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.60.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1.2','L')]).
% 5.86/6.26 cnf('0.86.1.0',plain,
% 5.86/6.26 ( join(meet(X1,join(X1,X2)),X3) = join(meet(X1,join(X2,X1)),join(X1,X3)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.86.0.0']),
% 5.86/6.26 [weight('<9,60,3,[1,0,0,3]>')]).
% 5.86/6.26 cnf('0.86.2.0',plain,
% 5.86/6.26 ( join(meet(X1,join(X2,X1)),join(X1,X3)) = join(meet(X1,join(X1,X2)),X3) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_84]).
% 5.86/6.26 cnf('0.87.0.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X2,X1),join(X1,X3))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.61.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.1','L')]).
% 5.86/6.26 cnf('0.87.1.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X2,X1),join(X1,X3))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.87.0.0']),
% 5.86/6.26 [weight('<9,61,3,[1,0,0,3]>')]).
% 5.86/6.26 cnf('0.87.2.0',plain,
% 5.86/6.26 ( join(X1,meet(join(X2,X1),join(X1,X3))) = meet(join(X1,X2),join(X1,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_85]).
% 5.86/6.26 cnf('0.89.0.0',plain,
% 5.86/6.26 ( meet(X1,meet(meet(X2,join(X2,X1)),X3)) = meet(meet(X1,X2),X3) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.9.2.0','0.67.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.89.0.1',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(join(X2,X1),X3))) = meet(meet(X1,X2),X3) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.89.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.89.0.2',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(join(X2,X1),X3))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.89.0.1','0.9.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.89.1.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(join(X2,X1),X3))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.89.0.2']),
% 5.86/6.26 [weight('<9,67,9,[0,0,0,1]>')]).
% 5.86/6.26 cnf('0.89.2.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(join(X2,X1),X3))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_87]).
% 5.86/6.26 cnf('0.90.0.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(X3,join(X3,X1)))) = meet(X1,meet(X2,meet(X1,X3))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.17.2.0','0.67.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2','L')]).
% 5.86/6.26 cnf('0.90.0.1',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(X3,join(X3,X1)))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.90.0.0','0.17.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.90.1.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(X3,join(X3,X1)))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.90.0.1']),
% 5.86/6.26 [weight('<9,67,17,[0,0,0,4]>')]).
% 5.86/6.26 cnf('0.90.2.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(X3,join(X3,X1)))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_88]).
% 5.86/6.26 cnf('0.92.0.0',plain,
% 5.86/6.26 ( meet(X1,meet(meet(X2,join(X1,X2)),X3)) = meet(meet(X1,X2),X3) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.9.2.0','0.68.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.92.0.1',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(join(X1,X2),X3))) = meet(meet(X1,X2),X3) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.92.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.92.0.2',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(join(X1,X2),X3))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.92.0.1','0.9.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.92.1.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(join(X1,X2),X3))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.92.0.2']),
% 5.86/6.26 [weight('<9,68,9,[0,0,0,1]>')]).
% 5.86/6.26 cnf('0.92.2.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(join(X1,X2),X3))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.92.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_90]).
% 5.86/6.26 cnf('0.93.0.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = meet(join(X2,X1),join(meet(X3,X2),X1)) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.72.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.1','L')]).
% 5.86/6.26 cnf('0.93.1.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = meet(join(X2,X1),join(meet(X3,X2),X1)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.93.0.0']),
% 5.86/6.26 [weight('<9,72,8,[1,0,0,5]>')]).
% 5.86/6.26 cnf('0.93.2.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(meet(X3,X1),X2)) = join(X2,meet(X1,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_91]).
% 5.86/6.26 cnf('0.95.0.0',plain,
% 5.86/6.26 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X2,X1),meet(X1,X3))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.77.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.1','L')]).
% 5.86/6.26 cnf('0.95.1.0',plain,
% 5.86/6.26 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X2,X1),meet(X1,X3))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.95.0.0']),
% 5.86/6.26 [weight('<9,77,8,[1,0,0,3]>')]).
% 5.86/6.26 cnf('0.95.2.0',plain,
% 5.86/6.26 ( meet(X1,join(meet(X2,X1),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_93]).
% 5.86/6.26 cnf('0.99.0.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X2,X1),join(X3,X1))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.87.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2','L')]).
% 5.86/6.26 cnf('0.99.1.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X2,X1),join(X3,X1))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.99.0.0']),
% 5.86/6.26 [weight('<9,87,3,[1,0,0,6]>')]).
% 5.86/6.26 cnf('0.99.2.0',plain,
% 5.86/6.26 ( join(X1,meet(join(X2,X1),join(X3,X1))) = meet(join(X1,X2),join(X1,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_97]).
% 5.86/6.26 cnf('0.101.0.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(X3,join(X1,X2)))) = meet(X1,meet(X2,meet(X3,X1))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.34.2.0','0.90.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.101.0.1',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(X3,join(X1,X2)))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.101.0.0','0.18.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.101.1.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(X3,join(X1,X2)))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.101.0.1']),
% 5.86/6.26 [weight('<9,90,34,[0,0,0,2]>')]).
% 5.86/6.26 cnf('0.101.2.0',plain,
% 5.86/6.26 ( meet(X1,meet(X2,meet(X3,join(X1,X2)))) = meet(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_99]).
% 5.86/6.26 cnf('0.102.0.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X2,meet(X3,X1))) = join(meet(X2,join(X1,X2)),join(X2,meet(X1,X3))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.56.2.0','0.93.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.102.0.1',plain,
% 5.86/6.26 ( join(X2,meet(X1,X3)) = join(meet(X2,join(X1,X2)),join(X2,meet(X1,X3))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.102.0.0','0.73.2.0',theory(equality)]),
% 5.86/6.26 [pos('L','L')]).
% 5.86/6.26 cnf('0.102.0.2',plain,
% 5.86/6.26 ( join(X2,meet(X1,X3)) = join(meet(X2,join(X2,X1)),meet(X1,X3)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.102.0.1','0.86.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.102.1.0',plain,
% 5.86/6.26 ( join(X2,meet(X1,X3)) = join(meet(X2,join(X2,X1)),meet(X1,X3)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.102.0.2']),
% 5.86/6.26 [weight('<9,93,56,[0,0,0,4]>')]).
% 5.86/6.26 cnf('0.102.2.0',plain,
% 5.86/6.26 ( join(meet(X1,join(X1,X2)),meet(X2,X3)) = join(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_100]).
% 5.86/6.26 cnf('0.104.0.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = join(meet(X2,X3),meet(X1,join(X1,X2))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.102.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L','L')]).
% 5.86/6.26 cnf('0.104.1.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = join(meet(X2,X3),meet(X1,join(X1,X2))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.104.0.0']),
% 5.86/6.26 [weight('<9,102,3,[1,0,0,0]>')]).
% 5.86/6.26 cnf('0.104.2.0',plain,
% 5.86/6.26 ( join(meet(X1,X2),meet(X3,join(X3,X1))) = join(X3,meet(X1,X2)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_102]).
% 5.86/6.26 cnf('0.105.0.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X1)) = meet(X1,join(X2,X1)) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.104.2.0','0.56.2.0',theory(equality)]),
% 5.86/6.26 [pos('L','L')]).
% 5.86/6.26 cnf('0.105.1.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X1)) = meet(X1,join(X2,X1)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.105.0.0']),
% 5.86/6.26 [weight('<5,104,56,[1,0,0,0]>')]).
% 5.86/6.26 cnf('0.105.2.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X1)) = meet(X1,join(X2,X1)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_103]).
% 5.86/6.26 cnf('0.106.0.0',plain,
% 5.86/6.26 ( meet(X1,join(X1,meet(X2,X1))) = join(X1,meet(X1,X2)) ),
% 5.86/6.26 inference(interreduction_right,[status(thm)],['0.22.2.0'])).
% 5.86/6.26 cnf('0.106.0.1',plain,
% 5.86/6.26 ( meet(X1,meet(X1,join(X2,X1))) = join(X1,meet(X1,X2)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.106.0.0','0.105.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.106.0.2',plain,
% 5.86/6.26 ( meet(X1,join(X2,X1)) = join(X1,meet(X1,X2)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.106.0.1','0.11.2.0',theory(equality)]),
% 5.86/6.26 [pos('L','L')]).
% 5.86/6.26 cnf('0.106.1.0',plain,
% 5.86/6.26 ( meet(X1,join(X2,X1)) = join(X1,meet(X1,X2)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.106.0.2']),
% 5.86/6.26 [weight('<5,22,105,[0,0,0,0]>')]).
% 5.86/6.26 cnf('0.106.2.0',plain,
% 5.86/6.26 ( join(X1,meet(X1,X2)) = meet(X1,join(X2,X1)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_104]).
% 5.86/6.26 cnf('0.107.0.0',plain,
% 5.86/6.26 ( join(X1,join(meet(X2,X1),X3)) = join(meet(X1,join(X2,X1)),X3) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.4.2.0','0.105.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.107.1.0',plain,
% 5.86/6.26 ( join(X1,join(meet(X2,X1),X3)) = join(meet(X1,join(X2,X1)),X3) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.107.0.0']),
% 5.86/6.26 [weight('<7,105,4,[0,0,0,1]>')]).
% 5.86/6.26 cnf('0.107.2.0',plain,
% 5.86/6.26 ( join(meet(X1,join(X2,X1)),X3) = join(X1,join(meet(X2,X1),X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_105]).
% 5.86/6.26 cnf('0.108.0.0',plain,
% 5.86/6.26 ( join(X1,join(meet(X1,join(X2,X1)),X3)) = join(meet(X1,join(X1,X2)),X3) ),
% 5.86/6.26 inference(interreduction_right,[status(thm)],['0.36.2.0'])).
% 5.86/6.26 cnf('0.108.0.1',plain,
% 5.86/6.26 ( join(X1,join(X1,join(meet(X2,X1),X3))) = join(meet(X1,join(X1,X2)),X3) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.108.0.0','0.107.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.108.0.2',plain,
% 5.86/6.26 ( join(X1,join(meet(X2,X1),X3)) = join(meet(X1,join(X1,X2)),X3) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.108.0.1','0.10.2.0',theory(equality)]),
% 5.86/6.26 [pos('L','L')]).
% 5.86/6.26 cnf('0.108.1.0',plain,
% 5.86/6.26 ( join(X1,join(meet(X2,X1),X3)) = join(meet(X1,join(X1,X2)),X3) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.108.0.2']),
% 5.86/6.26 [weight('<7,36,107,[0,0,0,0]>')]).
% 5.86/6.26 cnf('0.108.2.0',plain,
% 5.86/6.26 ( join(meet(X1,join(X1,X2)),X3) = join(X1,join(meet(X2,X1),X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_106]).
% 5.86/6.26 cnf('0.109.0.0',plain,
% 5.86/6.26 ( meet(X1,join(meet(X2,X3),X1)) = join(X1,meet(X2,meet(X3,X1))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.105.2.0','0.9.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.109.1.0',plain,
% 5.86/6.26 ( meet(X1,join(meet(X2,X3),X1)) = join(X1,meet(X2,meet(X3,X1))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.109.0.0']),
% 5.86/6.26 [weight('<7,105,9,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.109.2.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,meet(X3,X1))) = meet(X1,join(meet(X2,X3),X1)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_107]).
% 5.86/6.26 cnf('0.110.0.0',plain,
% 5.86/6.26 ( meet(X1,join(meet(X2,X3),X1)) = join(X1,meet(meet(X3,X1),X2)) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.109.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.110.0.1',plain,
% 5.86/6.26 ( meet(X1,join(meet(X2,X3),X1)) = join(X1,meet(X3,meet(X1,X2))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.110.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.26 [pos('R.2','L')]).
% 5.86/6.26 cnf('0.110.1.0',plain,
% 5.86/6.26 ( meet(X1,join(meet(X2,X3),X1)) = join(X1,meet(X3,meet(X1,X2))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.110.0.1']),
% 5.86/6.26 [weight('<7,109,8,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.110.2.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,meet(X1,X3))) = meet(X1,join(meet(X3,X2),X1)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_108]).
% 5.86/6.26 cnf('0.111.0.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X1,join(X1,X3)))) = join(meet(X1,join(X1,X3)),X2) ),
% 5.86/6.26 inference(interreduction_right,[status(thm)],['0.59.2.0'])).
% 5.86/6.26 cnf('0.111.0.1',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X1,join(X1,X3)))) = join(X1,join(meet(X3,X1),X2)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.111.0.0','0.108.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.111.1.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X1,join(X1,X3)))) = join(X1,join(meet(X3,X1),X2)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.111.0.1']),
% 5.86/6.26 [weight('<9,59,108,[0,0,0,0]>')]).
% 5.86/6.26 cnf('0.111.2.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X1,join(X1,X3)))) = join(X1,join(meet(X3,X1),X2)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_109]).
% 5.86/6.26 cnf('0.113.0.0',plain,
% 5.86/6.26 ( join(meet(X1,join(X1,X2)),meet(X2,X3)) = join(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(interreduction_right,[status(thm)],['0.102.2.0'])).
% 5.86/6.26 cnf('0.113.0.1',plain,
% 5.86/6.26 ( join(X1,join(meet(X2,X1),meet(X2,X3))) = join(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.113.0.0','0.108.2.0',theory(equality)]),
% 5.86/6.26 [pos('L','L')]).
% 5.86/6.26 cnf('0.113.1.0',plain,
% 5.86/6.26 ( join(X1,join(meet(X2,X1),meet(X2,X3))) = join(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.113.0.1']),
% 5.86/6.26 [weight('<9,102,108,[0,0,0,0]>')]).
% 5.86/6.26 cnf('0.113.2.0',plain,
% 5.86/6.26 ( join(X1,join(meet(X2,X1),meet(X2,X3))) = join(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_111]).
% 5.86/6.26 cnf('0.114.0.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = join(meet(X2,X3),meet(X1,join(X2,X1))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.104.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2','L')]).
% 5.86/6.26 cnf('0.114.1.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = join(meet(X2,X3),meet(X1,join(X2,X1))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.114.0.0']),
% 5.86/6.26 [weight('<9,104,3,[1,0,0,6]>')]).
% 5.86/6.26 cnf('0.114.2.0',plain,
% 5.86/6.26 ( join(meet(X1,X2),meet(X3,join(X1,X3))) = join(X3,meet(X1,X2)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_112]).
% 5.86/6.26 cnf('0.116.0.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X3,join(X1,X2))) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.105.2.0','0.4.2.0',theory(equality)]),
% 5.86/6.26 [pos('L','L')]).
% 5.86/6.26 cnf('0.116.1.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X3,join(X1,X2))) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.116.0.0']),
% 5.86/6.26 [weight('<9,105,4,[1,0,0,0]>')]).
% 5.86/6.26 cnf('0.116.2.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,join(X1,X2)))) = meet(join(X1,X2),join(X3,join(X1,X2))) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_114]).
% 5.86/6.26 cnf('0.118.0.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X3,join(X1,X2))) = join(X1,join(X2,meet(join(X1,X2),X3))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.106.2.0','0.4.2.0',theory(equality)]),
% 5.86/6.26 [pos('L','L')]).
% 5.86/6.26 cnf('0.118.1.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X3,join(X1,X2))) = join(X1,join(X2,meet(join(X1,X2),X3))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.118.0.0']),
% 5.86/6.26 [weight('<9,106,4,[1,0,0,0]>')]).
% 5.86/6.26 cnf('0.118.2.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(join(X1,X2),X3))) = meet(join(X1,X2),join(X3,join(X1,X2))) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.118.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_116]).
% 5.86/6.26 cnf('0.120.0.0',plain,
% 5.86/6.26 ( join(X1,join(meet(join(X2,X3),X1),X4)) = join(meet(X1,join(X2,join(X3,X1))),X4) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.107.2.0','0.4.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1.2','L')]).
% 5.86/6.26 cnf('0.120.1.0',plain,
% 5.86/6.26 ( join(X1,join(meet(join(X2,X3),X1),X4)) = join(meet(X1,join(X2,join(X3,X1))),X4) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.120.0.0']),
% 5.86/6.26 [weight('<9,107,4,[1,0,0,3]>')]).
% 5.86/6.26 cnf('0.120.2.0',plain,
% 5.86/6.26 ( join(meet(X1,join(X2,join(X3,X1))),X4) = join(X1,join(meet(join(X2,X3),X1),X4)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_118]).
% 5.86/6.26 cnf('0.126.0.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = join(X1,join(meet(X2,X3),meet(X2,X1))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.113.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.126.1.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = join(X1,join(meet(X2,X3),meet(X2,X1))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.126.0.0']),
% 5.86/6.26 [weight('<9,113,3,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.126.2.0',plain,
% 5.86/6.26 ( join(X1,join(meet(X2,X3),meet(X2,X1))) = join(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.126.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_124]).
% 5.86/6.26 cnf('0.128.0.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = join(X1,join(meet(X2,X1),meet(X3,X2))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.113.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2','L')]).
% 5.86/6.26 cnf('0.128.1.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = join(X1,join(meet(X2,X1),meet(X3,X2))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.128.0.0']),
% 5.86/6.26 [weight('<9,113,8,[1,0,0,6]>')]).
% 5.86/6.26 cnf('0.128.2.0',plain,
% 5.86/6.26 ( join(X1,join(meet(X2,X1),meet(X3,X2))) = join(X1,meet(X2,X3)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.128.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_126]).
% 5.86/6.26 cnf('0.129.0.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = join(meet(X3,X2),meet(X1,join(X2,X1))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.114.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.1','L')]).
% 5.86/6.26 cnf('0.129.1.0',plain,
% 5.86/6.26 ( join(X1,meet(X2,X3)) = join(meet(X3,X2),meet(X1,join(X2,X1))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.129.0.0']),
% 5.86/6.26 [weight('<9,114,8,[1,0,0,1]>')]).
% 5.86/6.26 cnf('0.129.2.0',plain,
% 5.86/6.26 ( join(meet(X1,X2),meet(X3,join(X2,X3))) = join(X3,meet(X2,X1)) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.129.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_127]).
% 5.86/6.26 cnf('0.132.0.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(join(X3,X2),join(X1,X2))) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.116.2.0','0.99.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.132.0.1',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X3,join(X2,join(X1,X2)))) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.132.0.0','0.4.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.132.0.2',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X3,join(X2,X1))) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.132.0.1','0.12.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2','L')]).
% 5.86/6.26 cnf('0.132.1.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X3,join(X2,X1))) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.132.0.2']),
% 5.86/6.26 [weight('<9,116,99,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.132.2.0',plain,
% 5.86/6.26 ( join(X1,meet(join(X2,X3),join(X2,X1))) = meet(join(X1,X2),join(X3,join(X2,X1))) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_130]).
% 5.86/6.26 cnf('0.133.0.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X3,join(X1,X2))) = join(X1,join(X2,meet(join(X2,X1),X3))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.118.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2.2.1','L')]).
% 5.86/6.26 cnf('0.133.1.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X3,join(X1,X2))) = join(X1,join(X2,meet(join(X2,X1),X3))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.133.0.0']),
% 5.86/6.26 [weight('<9,118,3,[1,0,0,5]>')]).
% 5.86/6.26 cnf('0.133.2.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(join(X2,X1),X3))) = meet(join(X1,X2),join(X3,join(X1,X2))) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.133.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_131]).
% 5.86/6.26 cnf('0.134.0.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(join(X2,X3),join(X1,X2))) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.118.2.0','0.87.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.134.0.1',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X2,join(X3,join(X1,X2)))) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.134.0.0','0.4.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.134.0.2',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X2,join(X3,X1))) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.134.0.1','0.16.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.134.1.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X2,join(X3,X1))) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.134.0.2']),
% 5.86/6.26 [weight('<9,118,87,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.134.2.0',plain,
% 5.86/6.26 ( join(X1,meet(join(X2,X1),join(X2,X3))) = meet(join(X1,X2),join(X2,join(X3,X1))) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.134.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_132]).
% 5.86/6.26 cnf('0.141.0.0',plain,
% 5.86/6.26 ( join(join(X1,X2),meet(X3,X1)) = join(join(X1,X2),meet(X3,join(X1,X2))) ),
% 5.86/6.26 inference(cp,[status(thm)],['0.126.2.0','0.6.2.0',theory(equality)]),
% 5.86/6.26 [pos('L.2','L')]).
% 5.86/6.26 cnf('0.141.0.1',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,X1))) = join(join(X1,X2),meet(X3,join(X1,X2))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.141.0.0','0.4.2.0',theory(equality)]),
% 5.86/6.26 [pos('L','L')]).
% 5.86/6.26 cnf('0.141.0.2',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,X1))) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.141.0.1','0.4.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.141.0.3',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,X1))) = meet(join(X1,X2),join(X3,join(X1,X2))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.141.0.2','0.116.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.141.1.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,X1))) = meet(join(X1,X2),join(X3,join(X1,X2))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.141.0.3']),
% 5.86/6.26 [weight('<9,126,6,[1,0,0,2]>')]).
% 5.86/6.26 cnf('0.141.2.0',plain,
% 5.86/6.26 ( meet(join(X1,X2),join(X3,join(X1,X2))) = join(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 5.86/6.26 [x,rule_139]).
% 5.86/6.26 cnf('0.142.0.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,join(X1,X2)))) = meet(join(X1,X2),join(X3,join(X1,X2))) ),
% 5.86/6.26 inference(interreduction_right,[status(thm)],['0.116.2.0'])).
% 5.86/6.26 cnf('0.142.0.1',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,join(X1,X2)))) = join(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.26 inference(reduction,[status(thm)],['0.142.0.0','0.141.2.0',theory(equality)]),
% 5.86/6.26 [pos('R','L')]).
% 5.86/6.26 cnf('0.142.1.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,join(X1,X2)))) = join(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.26 inference(weigh,[status(thm)],['0.142.0.1']),
% 5.86/6.26 [weight('<9,116,141,[0,0,0,0]>')]).
% 5.86/6.26 cnf('0.142.2.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(X3,join(X1,X2)))) = join(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.26 inference(orient,[status(thm)],['0.142.1.0',theory(equality)]),
% 5.86/6.26 [u,rule_140]).
% 5.86/6.26 cnf('0.143.0.0',plain,
% 5.86/6.26 ( join(X1,join(X2,meet(join(X1,X2),X3))) = meet(join(X1,X2),join(X3,join(X1,X2))) ),
% 5.86/6.26 inference(interreduction_right,[status(thm)],['0.118.2.0'])).
% 5.86/6.27 cnf('0.143.0.1',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.143.0.0','0.141.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.143.1.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.143.0.1']),
% 5.86/6.27 [weight('<9,118,141,[0,0,0,0]>')]).
% 5.86/6.27 cnf('0.143.2.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.143.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_141]).
% 5.86/6.27 cnf('0.146.0.0',plain,
% 5.86/6.27 ( join(join(X1,X2),meet(X3,X2)) = join(join(X1,X2),meet(X3,join(X2,X1))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.126.2.0','0.26.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.146.0.1',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,X2))) = join(join(X1,X2),meet(X3,join(X2,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.146.0.0','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.146.0.2',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,X2))) = join(join(X1,X2),meet(X3,join(X2,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.146.0.1','0.105.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.146.0.3',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,X2))) = join(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.146.0.2','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.146.1.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,X2))) = join(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.146.0.3']),
% 5.86/6.27 [weight('<9,126,26,[1,0,0,2]>')]).
% 5.86/6.27 cnf('0.146.2.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,join(X2,X1)))) = join(X1,meet(X2,join(X3,X2))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.146.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_144]).
% 5.86/6.27 cnf('0.149.0.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,join(X2,X1))) = join(X1,meet(join(X3,X2),join(X2,X1))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.132.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.1','L')]).
% 5.86/6.27 cnf('0.149.1.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,join(X2,X1))) = join(X1,meet(join(X3,X2),join(X2,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.149.0.0']),
% 5.86/6.27 [weight('<9,132,3,[1,0,0,3]>')]).
% 5.86/6.27 cnf('0.149.2.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X3),join(X3,X1))) = meet(join(X1,X3),join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.149.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_146]).
% 5.86/6.27 cnf('0.151.0.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X2,X1),X3))) = meet(join(X1,X2),join(X3,join(X1,X2))) ),
% 5.86/6.27 inference(interreduction_right,[status(thm)],['0.133.2.0'])).
% 5.86/6.27 cnf('0.151.0.1',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X2,X1),X3))) = join(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.151.0.0','0.141.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.151.1.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X2,X1),X3))) = join(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.151.0.1']),
% 5.86/6.27 [weight('<9,133,141,[0,0,0,0]>')]).
% 5.86/6.27 cnf('0.151.2.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X2,X1),X3))) = join(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.151.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_148]).
% 5.86/6.27 cnf('0.152.0.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X2,join(X3,X1))) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.134.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.1','L')]).
% 5.86/6.27 cnf('0.152.1.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X2,join(X3,X1))) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.152.0.0']),
% 5.86/6.27 [weight('<9,134,3,[1,0,0,3]>')]).
% 5.86/6.27 cnf('0.152.2.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X1,X2),join(X2,X3))) = meet(join(X1,X2),join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_149]).
% 5.86/6.27 cnf('0.157.0.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,X1))) = meet(join(X2,X1),join(X3,join(X1,X2))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.141.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.1','L')]).
% 5.86/6.27 cnf('0.157.1.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,X1))) = meet(join(X2,X1),join(X3,join(X1,X2))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.157.0.0']),
% 5.86/6.27 [weight('<9,141,3,[1,0,0,1]>')]).
% 5.86/6.27 cnf('0.157.2.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,join(X2,X1))) = join(X2,join(X1,meet(X3,X2))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_154]).
% 5.86/6.27 cnf('0.158.0.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X3),join(X2,X1))) = meet(join(X1,X2),join(X3,join(X2,X1))) ),
% 5.86/6.27 inference(interreduction_right,[status(thm)],['0.132.2.0'])).
% 5.86/6.27 cnf('0.158.0.1',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X3),join(X2,X1))) = join(X2,join(X1,meet(X3,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.158.0.0','0.157.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.158.1.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X3),join(X2,X1))) = join(X2,join(X1,meet(X3,X2))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.158.0.1']),
% 5.86/6.27 [weight('<9,132,157,[0,0,0,0]>')]).
% 5.86/6.27 cnf('0.158.2.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X3),join(X2,X1))) = join(X2,join(X1,meet(X3,X2))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.158.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_155]).
% 5.86/6.27 cnf('0.159.0.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,X1))) = meet(join(X1,X2),join(join(X1,X2),X3)) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.141.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.159.0.1',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,X1))) = meet(join(X1,X2),join(X1,join(X2,X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.159.0.0','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.159.1.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,X1))) = meet(join(X1,X2),join(X1,join(X2,X3))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.159.0.1']),
% 5.86/6.27 [weight('<9,141,3,[1,0,0,4]>')]).
% 5.86/6.27 cnf('0.159.2.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X1,join(X2,X3))) = join(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_156]).
% 5.86/6.27 cnf('0.161.0.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,join(X3,meet(X1,X2)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.68.2.0','0.141.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.161.1.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,join(X3,meet(X1,X2)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.161.0.0']),
% 5.86/6.27 [weight('<9,141,68,[0,0,0,2]>')]).
% 5.86/6.27 cnf('0.161.2.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X3,meet(X1,X2)))) = meet(X1,join(X2,X3)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.161.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_157]).
% 5.86/6.27 cnf('0.162.0.0',plain,
% 5.86/6.27 ( meet(join(X1,join(X2,X3)),join(X3,X2)) = join(meet(X3,join(X1,join(X2,X3))),join(X2,join(X3,meet(X1,X2)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.85.2.0','0.141.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.162.0.1',plain,
% 5.86/6.27 ( meet(join(X1,join(X2,X3)),join(X3,X2)) = join(X3,join(meet(join(X1,X2),X3),join(X2,join(X3,meet(X1,X2))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.162.0.0','0.120.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.162.0.2',plain,
% 5.86/6.27 ( meet(join(X1,join(X2,X3)),join(X3,X2)) = join(X3,join(meet(join(X1,X2),X3),join(X2,meet(X1,X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.162.0.1','0.31.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.162.0.3',plain,
% 5.86/6.27 ( meet(join(X1,join(X2,X3)),join(X3,X2)) = join(X3,join(meet(join(X1,X2),X3),meet(X2,join(X1,X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.162.0.2','0.105.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2','L')]).
% 5.86/6.27 cnf('0.162.0.4',plain,
% 5.86/6.27 ( meet(join(X1,join(X2,X3)),join(X3,X2)) = join(X3,meet(join(X1,X2),X2)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.162.0.3','0.128.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.162.1.0',plain,
% 5.86/6.27 ( meet(join(X1,join(X2,X3)),join(X3,X2)) = join(X3,meet(join(X1,X2),X2)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.162.0.4']),
% 5.86/6.27 [weight('<9,141,85,[0,0,0,4]>')]).
% 5.86/6.27 cnf('0.162.1.1',plain,
% 5.86/6.27 ( meet(join(X3,X2),join(X1,join(X2,X3))) = join(X3,meet(join(X1,X2),X2)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.162.1.0','0.8.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.162.1.2',plain,
% 5.86/6.27 ( join(X2,join(X3,meet(X1,X2))) = join(X3,meet(join(X1,X2),X2)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.162.1.1','0.157.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.162.1.3',plain,
% 5.86/6.27 ( join(X2,join(X3,meet(X1,X2))) = join(X3,meet(X2,join(X1,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.162.1.2','0.8.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.162.2.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,X1))) = join(X2,meet(X1,join(X3,X1))) ),
% 5.86/6.27 inference(activate,[status(thm)],['0.162.1.3']),
% 5.86/6.27 [equation_5]).
% 5.86/6.27 cnf('0.163.0.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X3,X2),X1))) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.142.2.0','0.99.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.163.0.1',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X3,X2),X1))) = meet(join(X1,X2),join(X3,join(X2,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.163.0.0','0.132.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.163.1.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X3,X2),X1))) = meet(join(X1,X2),join(X3,join(X2,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.163.0.1']),
% 5.86/6.27 [weight('<9,142,99,[1,0,0,2]>')]).
% 5.86/6.27 cnf('0.163.1.1',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X3,X2),X1))) = join(X2,join(X1,meet(X3,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.163.1.0','0.157.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.163.2.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X3,X2),X1))) = join(X2,join(X1,meet(X3,X2))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.163.1.1',theory(equality)]),
% 5.86/6.27 [u,rule_158]).
% 5.86/6.27 cnf('0.165.0.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X3,X2),X1))) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.143.2.0','0.99.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.165.0.1',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X3,X2),X1))) = meet(join(X1,X2),join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.165.0.0','0.134.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.165.1.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X3,X2),X1))) = meet(join(X1,X2),join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.165.0.1']),
% 5.86/6.27 [weight('<9,143,99,[1,0,0,2]>')]).
% 5.86/6.27 cnf('0.165.1.1',plain,
% 5.86/6.27 ( join(X2,join(X1,meet(X3,X2))) = meet(join(X1,X2),join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.165.1.0','0.163.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.165.2.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X2,join(X3,X1))) = join(X2,join(X1,meet(X3,X2))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.165.1.1',theory(equality)]),
% 5.86/6.27 [x,rule_160]).
% 5.86/6.27 cnf('0.166.0.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X1),join(X2,X3))) = meet(join(X1,X2),join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(interreduction_right,[status(thm)],['0.134.2.0'])).
% 5.86/6.27 cnf('0.166.0.1',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X1),join(X2,X3))) = join(X2,join(X1,meet(X3,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.166.0.0','0.165.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.166.1.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X1),join(X2,X3))) = join(X2,join(X1,meet(X3,X2))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.166.0.1']),
% 5.86/6.27 [weight('<9,134,165,[0,0,0,0]>')]).
% 5.86/6.27 cnf('0.166.2.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X1),join(X2,X3))) = join(X2,join(X1,meet(X3,X2))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.166.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_161]).
% 5.86/6.27 cnf('0.169.0.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X3),join(X3,X1))) = meet(join(X1,X3),join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(interreduction_right,[status(thm)],['0.149.2.0'])).
% 5.86/6.27 cnf('0.169.0.1',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X3),join(X3,X1))) = join(X3,join(X1,meet(X2,X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.169.0.0','0.157.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.169.1.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X3),join(X3,X1))) = join(X3,join(X1,meet(X2,X3))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.169.0.1']),
% 5.86/6.27 [weight('<9,149,157,[0,0,0,0]>')]).
% 5.86/6.27 cnf('0.169.2.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X3),join(X3,X1))) = join(X3,join(X1,meet(X2,X3))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.169.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_163]).
% 5.86/6.27 cnf('0.171.0.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X2,X3),X1))) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.151.2.0','0.61.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.171.0.1',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X2,X3),X1))) = meet(join(X1,X2),join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.171.0.0','0.134.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.171.1.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X2,X3),X1))) = meet(join(X1,X2),join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.171.0.1']),
% 5.86/6.27 [weight('<9,151,61,[1,0,0,2]>')]).
% 5.86/6.27 cnf('0.171.1.1',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X2,X3),X1))) = join(X2,join(X1,meet(X3,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.171.1.0','0.165.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.171.2.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X2,X3),X1))) = join(X2,join(X1,meet(X3,X2))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.171.1.1',theory(equality)]),
% 5.86/6.27 [u,rule_165]).
% 5.86/6.27 cnf('0.172.0.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X1,X2),join(X2,X3))) = meet(join(X1,X2),join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(interreduction_right,[status(thm)],['0.152.2.0'])).
% 5.86/6.27 cnf('0.172.0.1',plain,
% 5.86/6.27 ( join(X1,meet(join(X1,X2),join(X2,X3))) = join(X2,join(X1,meet(X3,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.172.0.0','0.165.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.172.1.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X1,X2),join(X2,X3))) = join(X2,join(X1,meet(X3,X2))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.172.0.1']),
% 5.86/6.27 [weight('<9,152,165,[0,0,0,0]>')]).
% 5.86/6.27 cnf('0.172.2.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X1,X2),join(X2,X3))) = join(X2,join(X1,meet(X3,X2))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.172.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_166]).
% 5.86/6.27 cnf('0.177.0.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,X1))) = meet(join(X2,X1),join(X1,join(X2,X3))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.159.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.1','L')]).
% 5.86/6.27 cnf('0.177.1.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,X1))) = meet(join(X2,X1),join(X1,join(X2,X3))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.177.0.0']),
% 5.86/6.27 [weight('<9,159,3,[1,0,0,1]>')]).
% 5.86/6.27 cnf('0.177.2.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X2,join(X1,X3))) = join(X2,join(X1,meet(X3,X2))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.177.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_171]).
% 5.86/6.27 cnf('0.178.0.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,X1))) = meet(join(X1,X2),join(X1,join(X3,X2))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.159.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.178.1.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,X1))) = meet(join(X1,X2),join(X1,join(X3,X2))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.178.0.0']),
% 5.86/6.27 [weight('<9,159,3,[1,0,0,6]>')]).
% 5.86/6.27 cnf('0.178.2.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X1,join(X3,X2))) = join(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.178.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_172]).
% 5.86/6.27 cnf('0.179.0.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(meet(X3,X2),X1))) = meet(join(X1,X2),join(X1,meet(X2,join(X3,X2)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.159.2.0','0.105.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.179.0.1',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,meet(X2,X1)))) = meet(join(X1,X2),join(X1,meet(X2,join(X3,X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.179.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.179.0.2',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(meet(X1,X3),X2))) = meet(join(X1,X2),join(X1,meet(X2,join(X3,X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.179.0.1','0.110.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.179.0.3',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(meet(X1,X3),X2))) = join(X1,meet(X2,join(X3,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.179.0.2','0.20.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.179.1.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(meet(X1,X3),X2))) = join(X1,meet(X2,join(X3,X2))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.179.0.3']),
% 5.86/6.27 [weight('<9,159,105,[1,0,0,6]>')]).
% 5.86/6.27 cnf('0.179.2.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(meet(X1,X3),X2))) = join(X1,meet(X2,join(X3,X2))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.179.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_173]).
% 5.86/6.27 cnf('0.180.0.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(meet(X2,X3),X1))) = meet(join(X1,X2),join(X1,meet(X2,join(X3,X2)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.159.2.0','0.106.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.180.0.1',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X2,meet(X3,X1)))) = meet(join(X1,X2),join(X1,meet(X2,join(X3,X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.180.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.180.0.2',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(meet(X3,X1),X2))) = meet(join(X1,X2),join(X1,meet(X2,join(X3,X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.180.0.1','0.106.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.180.0.3',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(meet(X3,X1),X2))) = join(X1,meet(X2,join(X3,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.180.0.2','0.20.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.180.1.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(meet(X3,X1),X2))) = join(X1,meet(X2,join(X3,X2))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.180.0.3']),
% 5.86/6.27 [weight('<9,159,106,[1,0,0,6]>')]).
% 5.86/6.27 cnf('0.180.2.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(meet(X3,X1),X2))) = join(X1,meet(X2,join(X3,X2))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.180.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_174]).
% 5.86/6.27 cnf('0.182.0.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,join(X3,meet(X2,X1)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.161.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2.2','L')]).
% 5.86/6.27 cnf('0.182.1.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,join(X3,meet(X2,X1)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.182.0.0']),
% 5.86/6.27 [weight('<9,161,8,[1,0,0,6]>')]).
% 5.86/6.27 cnf('0.182.2.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X3,meet(X2,X1)))) = meet(X1,join(X2,X3)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.182.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_176]).
% 5.86/6.27 cnf('0.183.0.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,meet(X1,X3))) = meet(join(X1,X2),join(X3,meet(X3,join(X1,X2)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.161.2.0','0.58.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.183.0.1',plain,
% 5.86/6.27 ( meet(join(X1,X2),meet(X3,join(X1,X3))) = meet(join(X1,X2),join(X3,meet(X3,join(X1,X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.183.0.0','0.105.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.183.0.2',plain,
% 5.86/6.27 ( meet(join(X1,X2),meet(X3,join(X1,X3))) = meet(join(X1,X2),meet(X3,join(join(X1,X2),X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.183.0.1','0.106.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.183.0.3',plain,
% 5.86/6.27 ( meet(join(X1,X2),meet(X3,join(X1,X3))) = meet(join(X1,X2),X3) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.183.0.2','0.68.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.183.1.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),meet(X3,join(X1,X3))) = meet(join(X1,X2),X3) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.183.0.3']),
% 5.86/6.27 [weight('<9,161,58,[1,0,0,4]>')]).
% 5.86/6.27 cnf('0.183.2.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),meet(X3,join(X1,X3))) = meet(join(X1,X2),X3) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.183.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_177]).
% 5.86/6.27 cnf('0.184.0.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X1),join(join(X3,X1),join(X2,X1)))) = join(join(X2,X1),meet(join(X1,X3),join(X1,X2))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.162.2.0','0.99.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.184.0.1',plain,
% 5.86/6.27 ( join(X1,join(X2,join(X1,meet(join(X3,X1),X2)))) = join(join(X2,X1),meet(join(X1,X3),join(X1,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.184.0.0','0.141.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.184.0.2',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X3,X1),X2))) = join(join(X2,X1),meet(join(X1,X3),join(X1,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.184.0.1','0.15.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.184.0.3',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(join(X3,X1),X2))) = join(join(X2,X1),meet(join(X1,X3),join(X1,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.184.0.2','0.105.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.184.0.4',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,join(X1,X2)))) = join(join(X2,X1),meet(join(X1,X3),join(X1,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.184.0.3','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.184.0.5',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,join(X1,X2)))) = join(X2,join(X1,meet(join(X1,X3),join(X1,X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.184.0.4','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.184.0.6',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,join(X1,X2)))) = join(X2,meet(X1,join(join(X1,X3),X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.184.0.5','0.146.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.184.0.7',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,join(X1,X2)))) = join(X2,meet(X1,join(X1,join(X3,X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.184.0.6','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2','L')]).
% 5.86/6.27 cnf('0.184.0.8',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,join(X1,X2)))) = join(X2,meet(X1,join(X1,X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.184.0.7','0.12.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2','L')]).
% 5.86/6.27 cnf('0.184.1.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,join(X1,X2)))) = join(X2,meet(X1,join(X1,X3))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.184.0.8']),
% 5.86/6.27 [weight('<9,162,99,[1,0,0,2]>')]).
% 5.86/6.27 cnf('0.184.2.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,join(X1,X2)))) = join(X2,meet(X1,join(X1,X3))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.184.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_178]).
% 5.86/6.27 cnf('0.185.0.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,X3)) = meet(X1,join(X3,meet(X2,join(X1,X2)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.161.2.0','0.162.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.185.1.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,X3)) = meet(X1,join(X3,meet(X2,join(X1,X2)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.185.0.0']),
% 5.86/6.27 [weight('<9,162,161,[0,0,0,2]>')]).
% 5.86/6.27 cnf('0.185.2.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,meet(X3,join(X1,X3)))) = meet(X1,join(X3,X2)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.185.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_179]).
% 5.86/6.27 cnf('0.187.0.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(meet(X2,X3),X1))) = join(X2,join(X1,meet(X2,X3))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.166.2.0','0.20.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.187.0.1',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X2,meet(X3,X1)))) = join(X2,join(X1,meet(X2,X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.187.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.187.0.2',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(meet(X3,X1),X2))) = join(X2,join(X1,meet(X2,X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.187.0.1','0.106.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.187.1.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(meet(X3,X1),X2))) = join(X2,join(X1,meet(X2,X3))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.187.0.2']),
% 5.86/6.27 [weight('<9,166,20,[1,0,0,2]>')]).
% 5.86/6.27 cnf('0.187.1.1',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,X2))) = join(X2,join(X1,meet(X2,X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.187.1.0','0.180.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.187.2.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,X2))) = join(X2,join(X1,meet(X2,X3))) ),
% 5.86/6.27 inference(activate,[status(thm)],['0.187.1.1']),
% 5.86/6.27 [equation_7]).
% 5.86/6.27 cnf('0.189.0.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,X1))) = join(X2,meet(join(X3,X1),join(X2,X1))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.169.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.189.1.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,X1))) = join(X2,meet(join(X3,X1),join(X2,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.189.0.0']),
% 5.86/6.27 [weight('<9,169,3,[1,0,0,6]>')]).
% 5.86/6.27 cnf('0.189.2.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X3),join(X1,X3))) = join(X3,join(X1,meet(X2,X3))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.189.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_181]).
% 5.86/6.27 cnf('0.191.0.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X1,X3),X2))) = join(X1,join(X1,join(X2,meet(X3,X1)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.15.2.0','0.171.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.191.0.1',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(join(X1,X3),X2))) = join(X1,join(X1,join(X2,meet(X3,X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.191.0.0','0.105.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.191.0.2',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X1,join(X3,X2)))) = join(X1,join(X1,join(X2,meet(X3,X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.191.0.1','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.191.0.3',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X1,join(X3,X2)))) = join(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.191.0.2','0.10.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.191.1.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X1,join(X3,X2)))) = join(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.191.0.3']),
% 5.86/6.27 [weight('<9,171,15,[0,0,0,2]>')]).
% 5.86/6.27 cnf('0.191.2.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X1,join(X3,X2)))) = join(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.191.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_183]).
% 5.86/6.27 cnf('0.194.0.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,X2))) = join(X1,meet(X2,join(X2,meet(X1,X3)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.179.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.194.1.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,X2))) = join(X1,meet(X2,join(X2,meet(X1,X3)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.194.0.0']),
% 5.86/6.27 [weight('<9,179,3,[1,0,0,4]>')]).
% 5.86/6.27 cnf('0.194.2.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X2,meet(X1,X3)))) = join(X1,meet(X2,join(X3,X2))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.194.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_186]).
% 5.86/6.27 cnf('0.199.0.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),X3) = meet(join(X2,X1),meet(X3,join(X1,X3))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.183.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.1','L')]).
% 5.86/6.27 cnf('0.199.1.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),X3) = meet(join(X2,X1),meet(X3,join(X1,X3))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.199.0.0']),
% 5.86/6.27 [weight('<9,183,3,[1,0,0,1]>')]).
% 5.86/6.27 cnf('0.199.2.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),meet(X3,join(X2,X3))) = meet(join(X2,X1),X3) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.199.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_190]).
% 5.86/6.27 cnf('0.200.0.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),X3) = meet(join(X1,X2),meet(X3,join(X3,X1))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.183.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.200.1.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),X3) = meet(join(X1,X2),meet(X3,join(X3,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.200.0.0']),
% 5.86/6.27 [weight('<9,183,3,[1,0,0,6]>')]).
% 5.86/6.27 cnf('0.200.2.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),meet(X3,join(X3,X1))) = meet(join(X1,X2),X3) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.200.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_191]).
% 5.86/6.27 cnf('0.203.0.0',plain,
% 5.86/6.27 ( meet(meet(X1,join(X2,X1)),join(join(X2,X3),meet(X1,join(X2,X1)))) = join(meet(X1,join(X2,X1)),meet(join(X2,X3),X1)) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.105.2.0','0.183.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.203.0.1',plain,
% 5.86/6.27 ( meet(X1,meet(join(X2,X1),join(join(X2,X3),meet(X1,join(X2,X1))))) = join(meet(X1,join(X2,X1)),meet(join(X2,X3),X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.203.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.203.0.2',plain,
% 5.86/6.27 ( meet(X1,meet(join(X2,X1),join(X2,join(X3,meet(X1,join(X2,X1)))))) = join(meet(X1,join(X2,X1)),meet(join(X2,X3),X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.203.0.1','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.203.0.3',plain,
% 5.86/6.27 ( meet(X1,meet(join(X2,X1),join(X2,join(X3,X1)))) = join(meet(X1,join(X2,X1)),meet(join(X2,X3),X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.203.0.2','0.55.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.203.0.4',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,meet(X3,X2)))) = join(meet(X1,join(X2,X1)),meet(join(X2,X3),X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.203.0.3','0.178.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.203.0.5',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,meet(X3,X2)))) = join(X1,join(meet(X2,X1),meet(join(X2,X3),X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.203.0.4','0.107.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.203.0.6',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,meet(X3,X2)))) = join(X1,meet(X1,join(X2,X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.203.0.5','0.58.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.203.0.7',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,meet(X3,X2)))) = meet(X1,join(join(X2,X3),X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.203.0.6','0.106.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.203.0.8',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,meet(X3,X2)))) = meet(X1,join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.203.0.7','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.203.1.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,meet(X3,X2)))) = meet(X1,join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.203.0.8']),
% 5.86/6.27 [weight('<9,183,105,[0,0,0,2]>')]).
% 5.86/6.27 cnf('0.203.2.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,meet(X3,X2)))) = meet(X1,join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.203.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_194]).
% 5.86/6.27 cnf('0.206.0.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X3,join(X3,X1))) = join(X3,meet(meet(X1,X2),join(X3,meet(X1,join(X2,X1))))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.184.2.0','0.187.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','R')]).
% 5.86/6.27 cnf('0.206.0.1',plain,
% 5.86/6.27 ( join(X3,meet(X1,X2)) = join(X3,meet(meet(X1,X2),join(X3,meet(X1,join(X2,X1))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.206.0.0','0.104.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.206.0.2',plain,
% 5.86/6.27 ( join(X3,meet(X1,X2)) = join(X3,meet(X1,meet(X2,join(X3,meet(X1,join(X2,X1)))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.206.0.1','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.206.0.3',plain,
% 5.86/6.27 ( join(X3,meet(X1,X2)) = join(X3,meet(X1,meet(X2,join(X1,X3)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.206.0.2','0.185.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2','L')]).
% 5.86/6.27 cnf('0.206.1.0',plain,
% 5.86/6.27 ( join(X3,meet(X1,X2)) = join(X3,meet(X1,meet(X2,join(X1,X3)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.206.0.3']),
% 5.86/6.27 [weight('<9,187,184,[0,1,0,4]>')]).
% 5.86/6.27 cnf('0.206.2.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,meet(X3,join(X2,X1)))) = join(X1,meet(X2,X3)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.206.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_197]).
% 5.86/6.27 cnf('0.207.0.0',plain,
% 5.86/6.27 ( join(X1,join(meet(X1,X2),meet(X3,X1))) = join(X1,meet(meet(X1,X2),join(X3,meet(X1,join(X2,X1))))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.191.2.0','0.187.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','R')]).
% 5.86/6.27 cnf('0.207.0.1',plain,
% 5.86/6.27 ( join(X1,join(meet(X1,X2),meet(X3,X1))) = join(X1,meet(X1,meet(X2,join(X3,meet(X1,join(X2,X1)))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.207.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.207.0.2',plain,
% 5.86/6.27 ( join(X1,join(meet(X1,X2),meet(X3,X1))) = meet(X1,join(meet(X2,join(X3,meet(X1,join(X2,X1)))),X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.207.0.1','0.106.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.207.0.3',plain,
% 5.86/6.27 ( join(X1,join(meet(X1,X2),meet(X3,X1))) = meet(X1,join(meet(X2,join(X1,X3)),X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.207.0.2','0.185.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.1','L')]).
% 5.86/6.27 cnf('0.207.1.0',plain,
% 5.86/6.27 ( join(X1,join(meet(X1,X2),meet(X3,X1))) = meet(X1,join(meet(X2,join(X1,X3)),X1)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.207.0.3']),
% 5.86/6.27 [weight('<9,191,187,[1,0,1,4]>')]).
% 5.86/6.27 cnf('0.207.1.1',plain,
% 5.86/6.27 ( join(X1,join(meet(X1,X2),meet(X3,X1))) = meet(X1,join(X1,meet(X2,join(X1,X3)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.207.1.0','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.207.2.0',plain,
% 5.86/6.27 ( join(X1,join(meet(X1,X2),meet(X3,X1))) = meet(X1,join(X1,meet(X2,join(X1,X3)))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.207.1.1',theory(equality)]),
% 5.86/6.27 [u,rule_198]).
% 5.86/6.27 cnf('0.214.0.0',plain,
% 5.86/6.27 ( meet(X1,meet(join(X2,X3),join(X3,X1))) = meet(X1,meet(join(X3,X2),X1)) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.17.2.0','0.199.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.214.0.1',plain,
% 5.86/6.27 ( meet(X1,meet(join(X2,X3),join(X3,X1))) = meet(X1,join(X3,X2)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.214.0.0','0.13.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.214.1.0',plain,
% 5.86/6.27 ( meet(X1,meet(join(X2,X3),join(X3,X1))) = meet(X1,join(X3,X2)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.214.0.1']),
% 5.86/6.27 [weight('<9,199,17,[0,0,0,2]>')]).
% 5.86/6.27 cnf('0.214.2.0',plain,
% 5.86/6.27 ( meet(X1,meet(join(X2,X3),join(X3,X1))) = meet(X1,join(X3,X2)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.214.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_204]).
% 5.86/6.27 cnf('0.233.0.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X3,X1))) = meet(X1,join(X2,join(X1,meet(X2,X3)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.203.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2.2','L')]).
% 5.86/6.27 cnf('0.233.1.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X3,X1))) = meet(X1,join(X2,join(X1,meet(X2,X3)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.233.0.0']),
% 5.86/6.27 [weight('<9,203,8,[1,0,0,6]>')]).
% 5.86/6.27 cnf('0.233.2.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,meet(X2,X3)))) = meet(X1,join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.233.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_223]).
% 5.86/6.27 cnf('0.234.0.0',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X3),join(X2,X1))) = meet(X1,join(meet(X2,X3),join(X1,meet(X2,X3)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.203.2.0','0.11.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2.2','L')]).
% 5.86/6.27 cnf('0.234.0.1',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X3),join(X2,X1))) = meet(X1,join(meet(X2,X3),X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.234.0.0','0.12.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.234.1.0',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X3),join(X2,X1))) = meet(X1,join(meet(X2,X3),X1)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.234.0.1']),
% 5.86/6.27 [weight('<9,203,11,[1,0,0,6]>')]).
% 5.86/6.27 cnf('0.234.2.0',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X3),join(X2,X1))) = meet(X1,join(meet(X2,X3),X1)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.234.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_224]).
% 5.86/6.27 cnf('0.235.0.0',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X3),X1)) = meet(X1,join(join(X2,X1),meet(X2,X3))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.234.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.235.0.1',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X3),X1)) = meet(X1,join(X2,join(X1,meet(X2,X3)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.235.0.0','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.235.0.2',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X3),X1)) = meet(X1,join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.235.0.1','0.233.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.235.1.0',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X3),X1)) = meet(X1,join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.235.0.2']),
% 5.86/6.27 [weight('<7,234,3,[1,0,0,2]>')]).
% 5.86/6.27 cnf('0.235.2.0',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X3),X1)) = meet(X1,join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.235.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_225]).
% 5.86/6.27 cnf('0.236.0.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,meet(X3,X1))) = meet(X1,join(meet(X2,X3),X1)) ),
% 5.86/6.27 inference(interreduction_right,[status(thm)],['0.109.2.0'])).
% 5.86/6.27 cnf('0.236.0.1',plain,
% 5.86/6.27 ( join(X1,meet(X2,meet(X3,X1))) = meet(X1,join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.236.0.0','0.235.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.236.1.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,meet(X3,X1))) = meet(X1,join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.236.0.1']),
% 5.86/6.27 [weight('<7,109,235,[0,0,0,0]>')]).
% 5.86/6.27 cnf('0.236.2.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,meet(X3,X1))) = meet(X1,join(X2,join(X3,X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.236.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_226]).
% 5.86/6.27 cnf('0.237.0.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,meet(X1,X3))) = meet(X1,join(meet(X3,X2),X1)) ),
% 5.86/6.27 inference(interreduction_right,[status(thm)],['0.110.2.0'])).
% 5.86/6.27 cnf('0.237.0.1',plain,
% 5.86/6.27 ( join(X1,meet(X2,meet(X1,X3))) = meet(X1,join(X3,join(X2,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.237.0.0','0.235.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.237.1.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,meet(X1,X3))) = meet(X1,join(X3,join(X2,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.237.0.1']),
% 5.86/6.27 [weight('<7,110,235,[0,0,0,0]>')]).
% 5.86/6.27 cnf('0.237.2.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,meet(X1,X3))) = meet(X1,join(X3,join(X2,X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.237.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_227]).
% 5.86/6.27 cnf('0.244.0.0',plain,
% 5.86/6.27 ( meet(X1,join(join(X2,X1),join(join(X3,X1),X1))) = meet(X1,join(join(X2,X1),meet(join(X1,X3),join(X1,X2)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.203.2.0','0.99.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.244.0.1',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,join(join(X3,X1),X1)))) = meet(X1,join(join(X2,X1),meet(join(X1,X3),join(X1,X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.244.0.0','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.244.0.2',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,join(X3,X1)))) = meet(X1,join(join(X2,X1),meet(join(X1,X3),join(X1,X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.244.0.1','0.12.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.244.0.3',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,X3))) = meet(X1,join(join(X2,X1),meet(join(X1,X3),join(X1,X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.244.0.2','0.12.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.244.0.4',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,X3))) = meet(X1,join(X2,join(X1,meet(join(X1,X3),join(X1,X2))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.244.0.3','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.244.0.5',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,X3))) = meet(X1,join(X2,meet(X1,join(join(X1,X3),X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.244.0.4','0.146.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.244.0.6',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,X3))) = meet(X1,join(X2,meet(X1,join(X1,join(X3,X1))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.244.0.5','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2.2','L')]).
% 5.86/6.27 cnf('0.244.0.7',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,X3))) = meet(X1,join(X2,meet(X1,join(X1,X3)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.244.0.6','0.12.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2.2','L')]).
% 5.86/6.27 cnf('0.244.1.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,X3))) = meet(X1,join(X2,meet(X1,join(X1,X3)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.244.0.7']),
% 5.86/6.27 [weight('<9,203,99,[1,0,0,4]>')]).
% 5.86/6.27 cnf('0.244.2.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,meet(X1,join(X1,X3)))) = meet(X1,join(X2,join(X1,X3))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.244.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_233]).
% 5.86/6.27 cnf('0.246.0.0',plain,
% 5.86/6.27 ( meet(X1,join(join(X1,X2),join(join(X3,X2),X1))) = meet(X1,join(join(X1,X2),join(X2,join(X1,meet(X3,X2))))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.203.2.0','0.189.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.246.0.1',plain,
% 5.86/6.27 ( meet(X1,join(X1,join(X2,join(join(X3,X2),X1)))) = meet(X1,join(join(X1,X2),join(X2,join(X1,meet(X3,X2))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.246.0.0','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.246.0.2',plain,
% 5.86/6.27 ( meet(X1,join(X1,join(X2,join(X3,X2)))) = meet(X1,join(join(X1,X2),join(X2,join(X1,meet(X3,X2))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.246.0.1','0.16.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.246.0.3',plain,
% 5.86/6.27 ( meet(X1,join(X1,join(X2,X3))) = meet(X1,join(join(X1,X2),join(X2,join(X1,meet(X3,X2))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.246.0.2','0.12.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.246.0.4',plain,
% 5.86/6.27 ( meet(X1,join(X1,join(X2,X3))) = meet(X1,join(X1,join(X2,join(X2,join(X1,meet(X3,X2)))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.246.0.3','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.246.0.5',plain,
% 5.86/6.27 ( meet(X1,join(X1,join(X2,X3))) = meet(X1,join(X1,join(X2,join(X2,meet(X3,X2))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.246.0.4','0.31.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.246.0.6',plain,
% 5.86/6.27 ( meet(X1,join(X1,join(X2,X3))) = meet(X1,join(X1,join(X2,meet(X3,X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.246.0.5','0.10.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2','L')]).
% 5.86/6.27 cnf('0.246.0.7',plain,
% 5.86/6.27 ( meet(X1,join(X1,join(X2,X3))) = meet(X1,join(X1,meet(X2,join(X3,X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.246.0.6','0.105.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2','L')]).
% 5.86/6.27 cnf('0.246.1.0',plain,
% 5.86/6.27 ( meet(X1,join(X1,join(X2,X3))) = meet(X1,join(X1,meet(X2,join(X3,X2)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.246.0.7']),
% 5.86/6.27 [weight('<9,203,189,[1,0,0,4]>')]).
% 5.86/6.27 cnf('0.246.2.0',plain,
% 5.86/6.27 ( meet(X1,join(X1,meet(X2,join(X3,X2)))) = meet(X1,join(X1,join(X2,X3))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.246.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_235]).
% 5.86/6.27 cnf('0.251.0.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,X3)) = join(X1,meet(X2,meet(join(X2,X1),X3))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.206.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.251.1.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,X3)) = join(X1,meet(X2,meet(join(X2,X1),X3))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.251.0.0']),
% 5.86/6.27 [weight('<9,206,8,[1,0,0,4]>')]).
% 5.86/6.27 cnf('0.251.2.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,meet(join(X2,X1),X3))) = join(X1,meet(X2,X3)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.251.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_239]).
% 5.86/6.27 cnf('0.255.0.0',plain,
% 5.86/6.27 ( meet(X1,join(X1,meet(meet(X1,X2),join(X1,X3)))) = join(X1,join(meet(X1,X2),meet(X3,X1))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.207.2.0','0.11.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.1','L')]).
% 5.86/6.27 cnf('0.255.0.1',plain,
% 5.86/6.27 ( meet(X1,join(X1,meet(X1,meet(X2,join(X1,X3))))) = join(X1,join(meet(X1,X2),meet(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.255.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.255.0.2',plain,
% 5.86/6.27 ( meet(X1,meet(X1,join(meet(X2,join(X1,X3)),X1))) = join(X1,join(meet(X1,X2),meet(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.255.0.1','0.106.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.255.0.3',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,join(X1,X3)),X1)) = join(X1,join(meet(X1,X2),meet(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.255.0.2','0.11.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.255.0.4',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,join(X1,X3)),X1)) = meet(X1,join(X1,meet(X2,join(X1,X3)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.255.0.3','0.207.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.255.1.0',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,join(X1,X3)),X1)) = meet(X1,join(X1,meet(X2,join(X1,X3)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.255.0.4']),
% 5.86/6.27 [weight('<9,207,11,[1,0,0,3]>')]).
% 5.86/6.27 cnf('0.255.1.1',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(join(X1,X3),X1))) = meet(X1,join(X1,meet(X2,join(X1,X3)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.255.1.0','0.235.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.255.1.2',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,join(X3,X1)))) = meet(X1,join(X1,meet(X2,join(X1,X3)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.255.1.1','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.255.1.3',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,X3))) = meet(X1,join(X1,meet(X2,join(X1,X3)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.255.1.2','0.12.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.255.2.0',plain,
% 5.86/6.27 ( meet(X1,join(X1,meet(X2,join(X1,X3)))) = meet(X1,join(X2,join(X1,X3))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.255.1.3',theory(equality)]),
% 5.86/6.27 [x,rule_243]).
% 5.86/6.27 cnf('0.256.0.0',plain,
% 5.86/6.27 ( meet(X1,join(join(X1,X2),join(X1,meet(X2,X3)))) = meet(X1,join(X1,join(X1,meet(X2,X3)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.255.2.0','0.20.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.256.0.1',plain,
% 5.86/6.27 ( meet(X1,join(X1,join(X2,join(X1,meet(X2,X3))))) = meet(X1,join(X1,join(X1,meet(X2,X3)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.256.0.0','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.256.0.2',plain,
% 5.86/6.27 ( meet(X1,join(X1,join(X2,meet(X2,X3)))) = meet(X1,join(X1,join(X1,meet(X2,X3)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.256.0.1','0.15.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.256.0.3',plain,
% 5.86/6.27 ( meet(X1,join(X1,meet(X2,join(X3,X2)))) = meet(X1,join(X1,join(X1,meet(X2,X3)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.256.0.2','0.106.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.256.0.4',plain,
% 5.86/6.27 ( meet(X1,join(X1,join(X2,X3))) = meet(X1,join(X1,join(X1,meet(X2,X3)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.256.0.3','0.246.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.256.0.5',plain,
% 5.86/6.27 ( meet(X1,join(X1,join(X2,X3))) = meet(X1,join(X1,meet(X2,X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.256.0.4','0.10.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.256.1.0',plain,
% 5.86/6.27 ( meet(X1,join(X1,join(X2,X3))) = meet(X1,join(X1,meet(X2,X3))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.256.0.5']),
% 5.86/6.27 [weight('<7,255,20,[1,0,0,4]>')]).
% 5.86/6.27 cnf('0.256.2.0',plain,
% 5.86/6.27 ( meet(X1,join(X1,join(X2,X3))) = meet(X1,join(X1,meet(X2,X3))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.256.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_244]).
% 5.86/6.27 cnf('0.262.0.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),meet(X3,join(X2,X3))) = meet(join(X1,X2),meet(X3,join(X2,X1))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.17.2.0','0.214.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.262.0.1',plain,
% 5.86/6.27 ( meet(join(X2,X1),X3) = meet(join(X1,X2),meet(X3,join(X2,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.262.0.0','0.199.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.262.1.0',plain,
% 5.86/6.27 ( meet(join(X2,X1),X3) = meet(join(X1,X2),meet(X3,join(X2,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.262.0.1']),
% 5.86/6.27 [weight('<9,214,17,[0,0,0,2]>')]).
% 5.86/6.27 cnf('0.262.2.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),meet(X3,join(X2,X1))) = meet(join(X2,X1),X3) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.262.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_250]).
% 5.86/6.27 cnf('0.281.0.0',plain,
% 5.86/6.27 ( join(X1,join(meet(meet(X2,X3),X1),X4)) = join(meet(X1,join(X2,join(X3,X1))),X4) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.107.2.0','0.235.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.1','L')]).
% 5.86/6.27 cnf('0.281.0.1',plain,
% 5.86/6.27 ( join(X1,join(meet(X2,meet(X3,X1)),X4)) = join(meet(X1,join(X2,join(X3,X1))),X4) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.281.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.1','L')]).
% 5.86/6.27 cnf('0.281.0.2',plain,
% 5.86/6.27 ( join(X1,join(meet(X2,meet(X3,X1)),X4)) = join(X1,join(meet(join(X2,X3),X1),X4)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.281.0.1','0.120.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.281.1.0',plain,
% 5.86/6.27 ( join(X1,join(meet(X2,meet(X3,X1)),X4)) = join(X1,join(meet(join(X2,X3),X1),X4)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.281.0.2']),
% 5.86/6.27 [weight('<9,235,107,[0,0,0,1]>')]).
% 5.86/6.27 cnf('0.281.2.0',plain,
% 5.86/6.27 ( join(X1,join(meet(join(X2,X3),X1),X4)) = join(X1,join(meet(X2,meet(X3,X1)),X4)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.281.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_265]).
% 5.86/6.27 cnf('0.284.0.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(join(meet(X3,X4),X2),X1))) = meet(X1,join(X2,join(X1,meet(X2,join(X3,join(X4,X2)))))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.233.2.0','0.235.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2.2','L')]).
% 5.86/6.27 cnf('0.284.0.1',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(meet(X3,X4),join(X2,X1)))) = meet(X1,join(X2,join(X1,meet(X2,join(X3,join(X4,X2)))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.284.0.0','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.284.0.2',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(meet(X3,X4),X1))) = meet(X1,join(X2,join(X1,meet(X2,join(X3,join(X4,X2)))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.284.0.1','0.15.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.284.0.3',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(meet(X3,X4),X1))) = meet(X1,join(X2,join(join(X3,join(X4,X2)),X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.284.0.2','0.233.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.284.0.4',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(meet(X3,X4),X1))) = meet(X1,join(X2,join(X3,join(join(X4,X2),X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.284.0.3','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2','L')]).
% 5.86/6.27 cnf('0.284.0.5',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(meet(X3,X4),X1))) = meet(X1,join(X2,join(X3,join(X4,join(X2,X1))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.284.0.4','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2.2','L')]).
% 5.86/6.27 cnf('0.284.0.6',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(meet(X3,X4),X1))) = meet(X1,join(X2,join(X3,join(X4,X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.284.0.5','0.31.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.284.1.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(meet(X3,X4),X1))) = meet(X1,join(X2,join(X3,join(X4,X1)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.284.0.6']),
% 5.86/6.27 [weight('<9,235,233,[0,0,0,6]>')]).
% 5.86/6.27 cnf('0.284.2.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(meet(X3,X4),X1))) = meet(X1,join(X2,join(X3,join(X4,X1)))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.284.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_268]).
% 5.86/6.27 cnf('0.287.0.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(meet(X3,X4),X1))) = join(X1,meet(X3,meet(X4,meet(X1,X2)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.237.2.0','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.287.1.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(meet(X3,X4),X1))) = join(X1,meet(X3,meet(X4,meet(X1,X2)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.287.0.0']),
% 5.86/6.27 [weight('<9,237,9,[1,0,0,2]>')]).
% 5.86/6.27 cnf('0.287.1.1',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X3,join(X4,X1)))) = join(X1,meet(X3,meet(X4,meet(X1,X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.287.1.0','0.284.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.287.2.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,meet(X3,meet(X1,X4)))) = meet(X1,join(X4,join(X2,join(X3,X1)))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.287.1.1',theory(equality)]),
% 5.86/6.27 [x,rule_271]).
% 5.86/6.27 cnf('0.300.0.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(join(X1,X2),meet(X3,X4))) = meet(join(X1,X2),join(X1,join(X2,join(X3,X4)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.256.2.0','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.300.0.1',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X1,join(X2,meet(X3,X4)))) = meet(join(X1,X2),join(X1,join(X2,join(X3,X4)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.300.0.0','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.300.0.2',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(meet(X3,X4),X1))) = meet(join(X1,X2),join(X1,join(X2,join(X3,X4)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.300.0.1','0.159.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.300.0.3',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,meet(X4,X1)))) = meet(join(X1,X2),join(X1,join(X2,join(X3,X4)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.300.0.2','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.300.0.4',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,meet(X4,X1)))) = join(X1,join(X2,meet(join(X3,X4),X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.300.0.3','0.159.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.300.1.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,meet(X4,X1)))) = join(X1,join(X2,meet(join(X3,X4),X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.300.0.4']),
% 5.86/6.27 [weight('<9,256,4,[1,0,0,2]>')]).
% 5.86/6.27 cnf('0.300.2.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X3,X4),X1))) = join(X1,join(X2,meet(X3,meet(X4,X1)))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.300.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_284]).
% 5.86/6.27 cnf('0.306.0.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,join(X3,X4)))) = meet(X1,join(X2,meet(X1,join(X1,meet(X3,X4))))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.244.2.0','0.256.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.306.0.1',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,join(X3,X4)))) = meet(X1,join(X2,join(X1,meet(X3,X4)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.306.0.0','0.244.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.306.1.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,join(X3,X4)))) = meet(X1,join(X2,join(X1,meet(X3,X4)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.306.0.1']),
% 5.86/6.27 [weight('<9,256,244,[0,0,0,4]>')]).
% 5.86/6.27 cnf('0.306.2.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,join(X1,join(X3,X4)))) = meet(X1,join(X2,join(X1,meet(X3,X4)))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.306.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_290]).
% 5.86/6.27 cnf('0.321.0.0',plain,
% 5.86/6.27 ( join(X1,join(meet(join(X1,join(X2,X3)),X1),X4)) = join(X1,join(X4,meet(X1,join(X1,join(X1,meet(X2,X3)))))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.111.2.0','0.306.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.321.0.1',plain,
% 5.86/6.27 ( join(X1,join(meet(X1,meet(join(X2,X3),X1)),X4)) = join(X1,join(X4,meet(X1,join(X1,join(X1,meet(X2,X3)))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.321.0.0','0.281.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.321.0.2',plain,
% 5.86/6.27 ( join(X1,join(meet(X1,join(X2,X3)),X4)) = join(X1,join(X4,meet(X1,join(X1,join(X1,meet(X2,X3)))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.321.0.1','0.13.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.1','L')]).
% 5.86/6.27 cnf('0.321.0.3',plain,
% 5.86/6.27 ( join(X1,join(meet(X1,join(X2,X3)),X4)) = join(X1,join(meet(join(X1,meet(X2,X3)),X1),X4)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.321.0.2','0.111.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.321.0.4',plain,
% 5.86/6.27 ( join(X1,join(meet(X1,join(X2,X3)),X4)) = join(X1,join(meet(X1,meet(meet(X2,X3),X1)),X4)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.321.0.3','0.281.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.321.0.5',plain,
% 5.86/6.27 ( join(X1,join(meet(X1,join(X2,X3)),X4)) = join(X1,join(meet(X1,meet(X2,X3)),X4)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.321.0.4','0.13.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.1','L')]).
% 5.86/6.27 cnf('0.321.1.0',plain,
% 5.86/6.27 ( join(X1,join(meet(X1,join(X2,X3)),X4)) = join(X1,join(meet(X1,meet(X2,X3)),X4)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.321.0.5']),
% 5.86/6.27 [weight('<9,306,111,[0,0,0,4]>')]).
% 5.86/6.27 cnf('0.321.2.0',plain,
% 5.86/6.27 ( join(X1,join(meet(X1,join(X2,X3)),X4)) = join(X1,join(meet(X1,meet(X2,X3)),X4)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.321.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_298]).
% 5.86/6.27 cnf('0.324.0.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(meet(X1,join(X3,X4)),X1))) = meet(join(X2,X1),join(X1,join(meet(X1,meet(X3,X4)),X2))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.165.2.0','0.321.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.324.0.1',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X1,meet(join(X3,X4),X1)))) = meet(join(X2,X1),join(X1,join(meet(X1,meet(X3,X4)),X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.324.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.324.0.2',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X1,join(X3,X4)))) = meet(join(X2,X1),join(X1,join(meet(X1,meet(X3,X4)),X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.324.0.1','0.13.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.324.0.3',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X1,join(X3,X4)))) = join(X1,join(X2,meet(meet(X1,meet(X3,X4)),X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.324.0.2','0.165.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.324.0.4',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X1,join(X3,X4)))) = join(X1,join(X2,meet(X1,meet(meet(X3,X4),X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.324.0.3','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2','L')]).
% 5.86/6.27 cnf('0.324.0.5',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X1,join(X3,X4)))) = join(X1,join(X2,meet(X1,meet(X3,X4)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.324.0.4','0.13.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2','L')]).
% 5.86/6.27 cnf('0.324.1.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X1,join(X3,X4)))) = join(X1,join(X2,meet(X1,meet(X3,X4)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.324.0.5']),
% 5.86/6.27 [weight('<9,321,165,[0,0,0,4]>')]).
% 5.86/6.27 cnf('0.324.2.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X1,join(X3,X4)))) = join(X1,join(X2,meet(X1,meet(X3,X4)))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.324.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_301]).
% 5.86/6.27 cnf('0.326.0.0',plain,
% 5.86/6.27 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.326.1.0',plain,
% 5.86/6.27 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.326.0.0']),
% 5.86/6.27 [weight('<10,4,3,[1,0,0,0]>')]).
% 5.86/6.27 cnf('0.326.2.0',plain,
% 5.86/6.27 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 5.86/6.27 inference(activate,[status(thm)],['0.326.1.0']),
% 5.86/6.27 [equation_24]).
% 5.86/6.27 cnf('0.327.0.0',plain,
% 5.86/6.27 ( join(meet(X1,join(X1,X2)),join(X3,X2)) = join(X3,join(X2,X1)) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.326.2.0','0.24.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.327.0.1',plain,
% 5.86/6.27 ( join(X1,join(meet(X2,X1),join(X3,X2))) = join(X3,join(X2,X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.327.0.0','0.108.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.327.1.0',plain,
% 5.86/6.27 ( join(X1,join(meet(X2,X1),join(X3,X2))) = join(X3,join(X2,X1)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.327.0.1']),
% 5.86/6.27 [weight('<9,326,24,[1,0,0,2]>')]).
% 5.86/6.27 cnf('0.327.1.1',plain,
% 5.86/6.27 ( join(X1,join(X2,join(meet(X2,X1),X3))) = join(X3,join(X2,X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.327.1.0','0.326.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.327.1.2',plain,
% 5.86/6.27 ( join(X1,join(X2,X3)) = join(X3,join(X2,X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.327.1.1','0.81.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.327.2.0',plain,
% 5.86/6.27 ( join(X1,join(X2,X3)) = join(X3,join(X2,X1)) ),
% 5.86/6.27 inference(activate,[status(thm)],['0.327.1.2']),
% 5.86/6.27 [equation_25]).
% 5.86/6.27 cnf('0.329.0.0',plain,
% 5.86/6.27 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.9.2.0','0.8.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.329.1.0',plain,
% 5.86/6.27 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.329.0.0']),
% 5.86/6.27 [weight('<10,9,8,[1,0,0,0]>')]).
% 5.86/6.27 cnf('0.329.2.0',plain,
% 5.86/6.27 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 5.86/6.27 inference(activate,[status(thm)],['0.329.1.0']),
% 5.86/6.27 [equation_27]).
% 5.86/6.27 cnf('0.330.0.0',plain,
% 5.86/6.27 ( meet(meet(X1,join(X1,X2)),meet(X3,X2)) = meet(X3,meet(X2,X1)) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.329.2.0','0.67.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.330.0.1',plain,
% 5.86/6.27 ( meet(X1,meet(join(X1,X2),meet(X3,X2))) = meet(X3,meet(X2,X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.330.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.330.1.0',plain,
% 5.86/6.27 ( meet(X1,meet(join(X1,X2),meet(X3,X2))) = meet(X3,meet(X2,X1)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.330.0.1']),
% 5.86/6.27 [weight('<9,329,67,[1,0,0,2]>')]).
% 5.86/6.27 cnf('0.330.1.1',plain,
% 5.86/6.27 ( meet(X1,meet(X2,meet(join(X1,X2),X3))) = meet(X3,meet(X2,X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.330.1.0','0.329.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.330.1.2',plain,
% 5.86/6.27 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.330.1.1','0.92.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.330.2.0',plain,
% 5.86/6.27 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)) ),
% 5.86/6.27 inference(activate,[status(thm)],['0.330.1.2']),
% 5.86/6.27 [equation_28]).
% 5.86/6.27 cnf('0.331.0.0',plain,
% 5.86/6.27 ( meet(X1,meet(meet(join(X1,X2),X3),X2)) = meet(X2,meet(X1,X3)) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.329.2.0','0.89.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.331.0.1',plain,
% 5.86/6.27 ( meet(X1,meet(join(X1,X2),meet(X3,X2))) = meet(X2,meet(X1,X3)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.331.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.331.1.0',plain,
% 5.86/6.27 ( meet(X1,meet(join(X1,X2),meet(X3,X2))) = meet(X2,meet(X1,X3)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.331.0.1']),
% 5.86/6.27 [weight('<9,329,89,[1,1,0,0]>')]).
% 5.86/6.27 cnf('0.331.1.1',plain,
% 5.86/6.27 ( meet(X1,meet(X2,meet(X3,join(X1,X2)))) = meet(X2,meet(X1,X3)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.331.1.0','0.330.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.331.1.2',plain,
% 5.86/6.27 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.331.1.1','0.101.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.331.2.0',plain,
% 5.86/6.27 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)) ),
% 5.86/6.27 inference(activate,[status(thm)],['0.331.1.2']),
% 5.86/6.27 [equation_29]).
% 5.86/6.27 cnf('0.334.0.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(join(meet(X2,X3),X1),X3)) = meet(join(X3,meet(join(X2,X3),X1)),join(X1,X2)) ),
% 5.86/6.27 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 5.86/6.27 cnf('0.334.1.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(join(meet(X2,X3),X1),X3)) = meet(join(X3,meet(join(X2,X3),X1)),join(X1,X2)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.334.0.0']),
% 5.86/6.27 [weight('<11,7,8,[0,0,0,0]>')]).
% 5.86/6.27 cnf('0.334.1.1',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X3,join(meet(X2,X3),X1))) = meet(join(X3,meet(join(X2,X3),X1)),join(X1,X2)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.334.1.0','0.8.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.334.1.2',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X3,join(meet(X2,X3),X1))) = meet(join(X1,X2),join(X3,meet(join(X2,X3),X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.334.1.1','0.8.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.334.2.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X3,join(meet(X2,X3),X1))) = meet(join(X1,X2),join(X3,meet(join(X2,X3),X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.334.1.2',theory(equality)]),
% 5.86/6.27 [u,rule_304]).
% 5.86/6.27 cnf('0.341.0.0',plain,
% 5.86/6.27 ( join(meet(X1,join(X2,X3)),join(X4,meet(X1,X2))) = join(meet(X1,join(X2,X3)),join(X4,meet(X1,join(X2,X3)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.16.2.0','0.6.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.341.0.1',plain,
% 5.86/6.27 ( join(meet(X1,join(X2,X3)),join(X4,meet(X1,X2))) = join(meet(X1,join(X2,X3)),X4) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.341.0.0','0.12.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.341.1.0',plain,
% 5.86/6.27 ( join(meet(X1,join(X2,X3)),join(X4,meet(X1,X2))) = join(meet(X1,join(X2,X3)),X4) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.341.0.1']),
% 5.86/6.27 [weight('<11,16,6,[1,0,0,4]>')]).
% 5.86/6.27 cnf('0.341.1.1',plain,
% 5.86/6.27 ( join(meet(X1,X2),join(X4,meet(X1,join(X2,X3)))) = join(meet(X1,join(X2,X3)),X4) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.341.1.0','0.327.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.341.2.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),join(X3,meet(X1,join(X2,X4)))) = join(meet(X1,join(X2,X4)),X3) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.341.1.1',theory(equality)]),
% 5.86/6.27 [u,rule_311]).
% 5.86/6.27 cnf('0.342.0.0',plain,
% 5.86/6.27 ( join(meet(X1,join(X1,meet(X2,X3))),X2) = join(meet(X1,X1),join(X2,meet(X1,join(X3,X1)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.341.2.0','0.194.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.342.0.1',plain,
% 5.86/6.27 ( join(X1,join(meet(meet(X2,X3),X1),X2)) = join(meet(X1,X1),join(X2,meet(X1,join(X3,X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.342.0.0','0.108.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.342.0.2',plain,
% 5.86/6.27 ( join(X1,join(meet(X2,meet(X3,X1)),X2)) = join(meet(X1,X1),join(X2,meet(X1,join(X3,X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.342.0.1','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.1','L')]).
% 5.86/6.27 cnf('0.342.0.3',plain,
% 5.86/6.27 ( join(X1,join(meet(X2,meet(X3,X1)),X2)) = join(X1,join(X2,meet(X1,join(X3,X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.342.0.2','0.2.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.1','L')]).
% 5.86/6.27 cnf('0.342.0.4',plain,
% 5.86/6.27 ( join(X1,join(meet(X2,meet(X3,X1)),X2)) = join(X1,join(X2,meet(X1,meet(X3,X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.342.0.3','0.324.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.342.0.5',plain,
% 5.86/6.27 ( join(X1,join(meet(X2,meet(X3,X1)),X2)) = join(X1,join(X2,meet(X1,X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.342.0.4','0.13.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2','L')]).
% 5.86/6.27 cnf('0.342.1.0',plain,
% 5.86/6.27 ( join(X1,join(meet(X2,meet(X3,X1)),X2)) = join(X1,join(X2,meet(X1,X3))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.342.0.5']),
% 5.86/6.27 [weight('<9,341,194,[1,0,0,4]>')]).
% 5.86/6.27 cnf('0.342.1.1',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X2,meet(X3,X1)))) = join(X1,join(X2,meet(X1,X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.342.1.0','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.342.1.2',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(meet(X3,X1),X2))) = join(X1,join(X2,meet(X1,X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.342.1.1','0.106.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.342.1.3',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,join(X1,X2)))) = join(X1,join(X2,meet(X1,X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.342.1.2','0.235.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.342.1.4',plain,
% 5.86/6.27 ( join(X2,meet(X1,join(X1,X3))) = join(X1,join(X2,meet(X1,X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.342.1.3','0.184.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.342.2.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X2,X3))) = join(X2,join(X1,meet(X2,X3))) ),
% 5.86/6.27 inference(activate,[status(thm)],['0.342.1.4']),
% 5.86/6.27 [equation_31]).
% 5.86/6.27 cnf('0.371.0.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X1,meet(X3,join(X1,X2)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.44.2.0','0.10.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.1','L')]).
% 5.86/6.27 cnf('0.371.1.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X1,meet(X3,join(X1,X2)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.371.0.0']),
% 5.86/6.27 [weight('<11,44,10,[1,0,0,1]>')]).
% 5.86/6.27 cnf('0.371.2.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X1,meet(X3,join(X1,X2)))) = join(X1,meet(join(X1,X2),X3)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.371.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_337]).
% 5.86/6.27 cnf('0.372.0.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,X2),join(X1,meet(X3,join(X2,X1)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.44.2.0','0.12.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.1','L')]).
% 5.86/6.27 cnf('0.372.1.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,X2),join(X1,meet(X3,join(X2,X1)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.372.0.0']),
% 5.86/6.27 [weight('<11,44,12,[1,0,0,1]>')]).
% 5.86/6.27 cnf('0.372.2.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X1,meet(X3,join(X2,X1)))) = join(X1,meet(join(X2,X1),X3)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.372.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_338]).
% 5.86/6.27 cnf('0.453.0.0',plain,
% 5.86/6.27 ( join(X1,meet(meet(X2,X3),X3)) = join(meet(X3,X2),meet(X1,join(meet(X2,X3),X1))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.129.2.0','0.13.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.1','L')]).
% 5.86/6.27 cnf('0.453.0.1',plain,
% 5.86/6.27 ( join(X1,meet(X2,meet(X3,X3))) = join(meet(X3,X2),meet(X1,join(meet(X2,X3),X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.453.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.453.0.2',plain,
% 5.86/6.27 ( join(X1,meet(X2,X3)) = join(meet(X3,X2),meet(X1,join(meet(X2,X3),X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.453.0.1','0.2.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.453.1.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,X3)) = join(meet(X3,X2),meet(X1,join(meet(X2,X3),X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.453.0.2']),
% 5.86/6.27 [weight('<11,129,13,[1,0,0,1]>')]).
% 5.86/6.27 cnf('0.453.1.1',plain,
% 5.86/6.27 ( join(X1,meet(X2,X3)) = join(meet(X3,X2),meet(X1,join(X2,join(X3,X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.453.1.0','0.235.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.453.2.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X3,join(X2,join(X1,X3)))) = join(X3,meet(X2,X1)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.453.1.1',theory(equality)]),
% 5.86/6.27 [x,rule_417]).
% 5.86/6.27 cnf('0.518.0.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(join(X3,X1),X3)) = meet(join(X1,X2),join(join(X3,X1),join(X1,join(X3,meet(X2,X1))))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.182.2.0','0.172.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.518.0.1',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,join(X1,X3))) = meet(join(X1,X2),join(join(X3,X1),join(X1,join(X3,meet(X2,X1))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.518.0.0','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.518.0.2',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,X1)) = meet(join(X1,X2),join(join(X3,X1),join(X1,join(X3,meet(X2,X1))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.518.0.1','0.12.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.518.0.3',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,X1)) = meet(join(X1,X2),join(X3,join(X1,join(X1,join(X3,meet(X2,X1)))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.518.0.2','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.518.0.4',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,X1)) = meet(join(X1,X2),join(X3,join(X1,join(X1,meet(X2,X1))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.518.0.3','0.31.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.518.0.5',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,X1)) = meet(join(X1,X2),join(X3,join(X1,meet(X2,X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.518.0.4','0.10.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2','L')]).
% 5.86/6.27 cnf('0.518.0.6',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,X1)) = meet(join(X1,X2),join(X3,meet(X1,join(X2,X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.518.0.5','0.105.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2','L')]).
% 5.86/6.27 cnf('0.518.1.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,X1)) = meet(join(X1,X2),join(X3,meet(X1,join(X2,X1)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.518.0.6']),
% 5.86/6.27 [weight('<11,182,172,[1,0,0,4]>')]).
% 5.86/6.27 cnf('0.518.2.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,meet(X1,join(X2,X1)))) = meet(join(X1,X2),join(X3,X1)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.518.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_481]).
% 5.86/6.27 cnf('0.522.0.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,X4)) = meet(join(X1,X2),join(X3,join(X4,meet(X1,X3)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.183.2.0','0.141.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.522.1.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,X4)) = meet(join(X1,X2),join(X3,join(X4,meet(X1,X3)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.522.0.0']),
% 5.86/6.27 [weight('<11,183,141,[1,0,0,4]>')]).
% 5.86/6.27 cnf('0.522.2.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,join(X4,meet(X1,X3)))) = meet(join(X1,X2),join(X3,X4)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.522.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_485]).
% 5.86/6.27 cnf('0.524.0.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X2,join(X3,X4)))) = join(X2,meet(X1,join(X3,join(X4,join(X2,X1))))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.184.2.0','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.524.1.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X2,join(X3,X4)))) = join(X2,meet(X1,join(X3,join(X4,join(X2,X1))))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.524.0.0']),
% 5.86/6.27 [weight('<11,184,4,[1,0,0,4]>')]).
% 5.86/6.27 cnf('0.524.1.1',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X2,meet(X3,X4)))) = join(X2,meet(X1,join(X3,join(X4,join(X2,X1))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.524.1.0','0.256.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.524.2.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,join(X4,join(X1,X2))))) = join(X2,meet(X1,join(X1,meet(X3,X4)))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.524.1.1',theory(equality)]),
% 5.86/6.27 [x,rule_487]).
% 5.86/6.27 cnf('0.569.0.0',plain,
% 5.86/6.27 ( meet(join(meet(X1,X2),X3),X2) = meet(join(meet(X1,X2),X3),meet(X2,meet(X2,join(X1,X2)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.200.2.0','0.105.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.569.0.1',plain,
% 5.86/6.27 ( meet(join(meet(X1,X2),X3),X2) = meet(join(meet(X1,X2),X3),meet(X2,join(X1,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.569.0.0','0.11.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.569.1.0',plain,
% 5.86/6.27 ( meet(join(meet(X1,X2),X3),X2) = meet(join(meet(X1,X2),X3),meet(X2,join(X1,X2))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.569.0.1']),
% 5.86/6.27 [weight('<11,200,105,[1,0,0,6]>')]).
% 5.86/6.27 cnf('0.569.1.1',plain,
% 5.86/6.27 ( meet(X2,join(meet(X1,X2),X3)) = meet(join(meet(X1,X2),X3),meet(X2,join(X1,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.569.1.0','0.8.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.569.1.2',plain,
% 5.86/6.27 ( meet(X2,join(meet(X1,X2),X3)) = meet(X2,meet(join(meet(X1,X2),X3),join(X1,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.569.1.1','0.331.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.569.1.3',plain,
% 5.86/6.27 ( meet(X2,join(meet(X1,X2),X3)) = meet(X2,meet(join(X1,X2),join(meet(X1,X2),X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.569.1.2','0.8.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.569.2.0',plain,
% 5.86/6.27 ( meet(X1,meet(join(X2,X1),join(meet(X2,X1),X3))) = meet(X1,join(meet(X2,X1),X3)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.569.1.3',theory(equality)]),
% 5.86/6.27 [x,rule_528]).
% 5.86/6.27 cnf('0.700.0.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X2,X3)) = join(meet(X1,X2),meet(X2,meet(meet(X2,join(X1,X2)),X3))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.251.2.0','0.105.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2.1','L')]).
% 5.86/6.27 cnf('0.700.0.1',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X2,X3)) = join(meet(X1,X2),meet(X2,meet(X2,meet(join(X1,X2),X3)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.700.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2','L')]).
% 5.86/6.27 cnf('0.700.0.2',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X2,X3)) = join(meet(X1,X2),meet(X2,meet(join(X1,X2),X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.700.0.1','0.11.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.700.1.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X2,X3)) = join(meet(X1,X2),meet(X2,meet(join(X1,X2),X3))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.700.0.2']),
% 5.86/6.27 [weight('<11,251,105,[1,0,0,5]>')]).
% 5.86/6.27 cnf('0.700.2.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X2,meet(join(X1,X2),X3))) = join(meet(X1,X2),meet(X2,X3)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.700.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_641]).
% 5.86/6.27 cnf('0.841.0.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(join(X3,meet(join(X4,X5),X1)),X1))) = join(X2,meet(join(X1,join(X3,meet(X4,meet(X5,X1)))),join(X1,X2))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.158.2.0','0.300.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.1','L')]).
% 5.86/6.27 cnf('0.841.0.1',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,meet(meet(join(X4,X5),X1),X1)))) = join(X2,meet(join(X1,join(X3,meet(X4,meet(X5,X1)))),join(X1,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.841.0.0','0.300.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.841.0.2',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,meet(join(X4,X5),meet(X1,X1))))) = join(X2,meet(join(X1,join(X3,meet(X4,meet(X5,X1)))),join(X1,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.841.0.1','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2.2','L')]).
% 5.86/6.27 cnf('0.841.0.3',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,meet(join(X4,X5),X1)))) = join(X2,meet(join(X1,join(X3,meet(X4,meet(X5,X1)))),join(X1,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.841.0.2','0.2.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2.2.2','L')]).
% 5.86/6.27 cnf('0.841.0.4',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,meet(join(X4,X5),X1)))) = join(X1,join(X2,meet(join(X3,meet(X4,meet(X5,X1))),X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.841.0.3','0.158.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.841.0.5',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,meet(join(X4,X5),X1)))) = join(X1,join(X2,meet(X3,meet(meet(X4,meet(X5,X1)),X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.841.0.4','0.300.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.841.0.6',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,meet(join(X4,X5),X1)))) = join(X1,join(X2,meet(X3,meet(X4,meet(meet(X5,X1),X1))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.841.0.5','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2.2','L')]).
% 5.86/6.27 cnf('0.841.0.7',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,meet(join(X4,X5),X1)))) = join(X1,join(X2,meet(X3,meet(X4,meet(X5,meet(X1,X1)))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.841.0.6','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2.2.2','L')]).
% 5.86/6.27 cnf('0.841.0.8',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,meet(join(X4,X5),X1)))) = join(X1,join(X2,meet(X3,meet(X4,meet(X5,X1))))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.841.0.7','0.2.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2.2.2.2.2','L')]).
% 5.86/6.27 cnf('0.841.1.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,meet(join(X4,X5),X1)))) = join(X1,join(X2,meet(X3,meet(X4,meet(X5,X1))))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.841.0.8']),
% 5.86/6.27 [weight('<11,300,158,[0,0,0,3]>')]).
% 5.86/6.27 cnf('0.841.2.0',plain,
% 5.86/6.27 ( join(X1,join(X2,meet(X3,meet(join(X4,X5),X1)))) = join(X1,join(X2,meet(X3,meet(X4,meet(X5,X1))))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.841.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_755]).
% 5.86/6.27 cnf('0.931.0.0',plain,
% 5.86/6.27 ( join(meet(join(X1,X2),X3),join(X4,meet(X1,X3))) = join(X4,meet(X3,join(X1,X2))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.326.2.0','0.58.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.931.1.0',plain,
% 5.86/6.27 ( join(meet(join(X1,X2),X3),join(X4,meet(X1,X3))) = join(X4,meet(X3,join(X1,X2))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.931.0.0']),
% 5.86/6.27 [weight('<11,326,58,[1,0,0,2]>')]).
% 5.86/6.27 cnf('0.931.1.1',plain,
% 5.86/6.27 ( join(meet(X1,X3),join(X4,meet(join(X1,X2),X3))) = join(X4,meet(X3,join(X1,X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.931.1.0','0.327.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.931.2.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),join(X3,meet(join(X1,X4),X2))) = join(X3,meet(X2,join(X1,X4))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.931.1.1',theory(equality)]),
% 5.86/6.27 [u,rule_836]).
% 5.86/6.27 cnf('0.1038.0.0',plain,
% 5.86/6.27 ( meet(meet(X1,join(X2,X1)),meet(X3,join(X4,X2))) = meet(X3,meet(join(X2,X4),X1)) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.329.2.0','0.199.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.1038.0.1',plain,
% 5.86/6.27 ( meet(X1,meet(join(X2,X1),meet(X3,join(X4,X2)))) = meet(X3,meet(join(X2,X4),X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1038.0.0','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.1038.1.0',plain,
% 5.86/6.27 ( meet(X1,meet(join(X2,X1),meet(X3,join(X4,X2)))) = meet(X3,meet(join(X2,X4),X1)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.1038.0.1']),
% 5.86/6.27 [weight('<11,329,199,[1,0,0,2]>')]).
% 5.86/6.27 cnf('0.1038.2.0',plain,
% 5.86/6.27 ( meet(X1,meet(join(X2,X1),meet(X3,join(X4,X2)))) = meet(X3,meet(join(X2,X4),X1)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.1038.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_918]).
% 5.86/6.27 cnf('0.1092.0.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,meet(join(X2,X3),X1))) = join(meet(X1,X2),meet(X3,join(X1,meet(X2,X3)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.334.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.1092.1.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,meet(join(X2,X3),X1))) = join(meet(X1,X2),meet(X3,join(X1,meet(X2,X3)))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.1092.0.0']),
% 5.86/6.27 [weight('<11,334,3,[1,0,0,6]>')]).
% 5.86/6.27 cnf('0.1092.2.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X3,join(X1,meet(X2,X3)))) = meet(join(X1,X2),join(X3,meet(join(X2,X3),X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.1092.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_965]).
% 5.86/6.27 cnf('0.1093.0.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(join(X1,X3),meet(join(X2,join(X1,X3)),X1))) = join(meet(X1,X2),join(X1,meet(join(X1,X3),X2))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.1092.2.0','0.371.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.1093.0.1',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X1,join(X3,meet(join(X2,join(X1,X3)),X1)))) = join(meet(X1,X2),join(X1,meet(join(X1,X3),X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1093.0.0','0.4.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.1093.0.2',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X1,join(X3,meet(X2,meet(join(X1,X3),X1))))) = join(meet(X1,X2),join(X1,meet(join(X1,X3),X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1093.0.1','0.300.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.1093.0.3',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X1,join(X3,meet(X2,meet(X1,meet(X3,X1)))))) = join(meet(X1,X2),join(X1,meet(join(X1,X3),X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1093.0.2','0.841.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.1093.0.4',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X1,meet(X3,join(X1,join(X2,join(X1,X3)))))) = join(meet(X1,X2),join(X1,meet(join(X1,X3),X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1093.0.3','0.287.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.1093.0.5',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,meet(X1,join(X1,meet(X1,X2))))) = join(meet(X1,X2),join(X1,meet(join(X1,X3),X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1093.0.4','0.524.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.1093.0.6',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,meet(X1,meet(X1,join(X2,X1))))) = join(meet(X1,X2),join(X1,meet(join(X1,X3),X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1093.0.5','0.106.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2.2','L')]).
% 5.86/6.27 cnf('0.1093.0.7',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,meet(X1,join(X2,X1)))) = join(meet(X1,X2),join(X1,meet(join(X1,X3),X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1093.0.6','0.11.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.1093.0.8',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,X1)) = join(meet(X1,X2),join(X1,meet(join(X1,X3),X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1093.0.7','0.518.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.1093.0.9',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,X1)) = join(X1,meet(X2,join(X1,X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1093.0.8','0.931.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.1093.1.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,X1)) = join(X1,meet(X2,join(X1,X3))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.1093.0.9']),
% 5.86/6.27 [weight('<7,1092,371,[1,0,0,4]>')]).
% 5.86/6.27 cnf('0.1093.2.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X1,X3))) = meet(join(X1,X2),join(X3,X1)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.1093.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_966]).
% 5.86/6.27 cnf('0.1094.0.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X1,meet(X3,join(X1,X2)))) = join(X1,meet(join(X1,X2),X3)) ),
% 5.86/6.27 inference(interreduction_right,[status(thm)],['0.371.2.0'])).
% 5.86/6.27 cnf('0.1094.0.1',plain,
% 5.86/6.27 ( meet(join(X1,X2),meet(join(X1,X3),join(X2,X1))) = join(X1,meet(join(X1,X2),X3)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1094.0.0','0.1093.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.1094.0.2',plain,
% 5.86/6.27 ( meet(join(X2,X1),join(X1,X3)) = join(X1,meet(join(X1,X2),X3)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1094.0.1','0.262.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.1094.1.0',plain,
% 5.86/6.27 ( meet(join(X2,X1),join(X1,X3)) = join(X1,meet(join(X1,X2),X3)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.1094.0.2']),
% 5.86/6.27 [weight('<7,371,1093,[0,0,0,0]>')]).
% 5.86/6.27 cnf('0.1094.2.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X2,X1),join(X1,X3)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.1094.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_967]).
% 5.86/6.27 cnf('0.1095.0.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,X1)) = join(X1,meet(X2,join(X3,X1))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.1093.2.0','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.1095.1.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X3,X1)) = join(X1,meet(X2,join(X3,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.1095.0.0']),
% 5.86/6.27 [weight('<7,1093,3,[1,0,0,4]>')]).
% 5.86/6.27 cnf('0.1095.2.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,join(X3,X1))) = meet(join(X1,X2),join(X3,X1)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.1095.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_968]).
% 5.86/6.27 cnf('0.1096.0.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X1,meet(X3,join(X2,X1)))) = join(X1,meet(join(X2,X1),X3)) ),
% 5.86/6.27 inference(interreduction_right,[status(thm)],['0.372.2.0'])).
% 5.86/6.27 cnf('0.1096.0.1',plain,
% 5.86/6.27 ( meet(join(X1,X2),meet(join(X1,X3),join(X2,X1))) = join(X1,meet(join(X2,X1),X3)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1096.0.0','0.1095.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.1096.0.2',plain,
% 5.86/6.27 ( meet(join(X2,X1),join(X1,X3)) = join(X1,meet(join(X2,X1),X3)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1096.0.1','0.262.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.1096.1.0',plain,
% 5.86/6.27 ( meet(join(X2,X1),join(X1,X3)) = join(X1,meet(join(X2,X1),X3)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.1096.0.2']),
% 5.86/6.27 [weight('<7,372,1095,[0,0,0,0]>')]).
% 5.86/6.27 cnf('0.1096.2.0',plain,
% 5.86/6.27 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X2,X1),join(X1,X3)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.1096.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_969]).
% 5.86/6.27 cnf('0.1100.0.0',plain,
% 5.86/6.27 ( meet(join(X1,meet(X2,X1)),join(meet(X2,X1),X3)) = join(meet(X2,X1),meet(meet(X1,join(X2,X1)),X3)) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.1096.2.0','0.105.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.1','L')]).
% 5.86/6.27 cnf('0.1100.0.1',plain,
% 5.86/6.27 ( meet(meet(X1,join(X2,X1)),join(meet(X2,X1),X3)) = join(meet(X2,X1),meet(meet(X1,join(X2,X1)),X3)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1100.0.0','0.105.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.1','L')]).
% 5.86/6.27 cnf('0.1100.0.2',plain,
% 5.86/6.27 ( meet(X1,meet(join(X2,X1),join(meet(X2,X1),X3))) = join(meet(X2,X1),meet(meet(X1,join(X2,X1)),X3)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1100.0.1','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.1100.0.3',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X2,X1),meet(meet(X1,join(X2,X1)),X3)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1100.0.2','0.569.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.1100.0.4',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X2,X1),meet(X1,meet(join(X2,X1),X3))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1100.0.3','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.1100.0.5',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X2,X1),meet(X1,X3)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1100.0.4','0.700.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.1100.1.0',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X2,X1),meet(X1,X3)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.1100.0.5']),
% 5.86/6.27 [weight('<7,1096,105,[1,0,0,3]>')]).
% 5.86/6.27 cnf('0.1100.2.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),X3)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.1100.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_970]).
% 5.86/6.27 cnf('0.1101.0.0',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X1),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 5.86/6.27 inference(interreduction_right,[status(thm)],['0.95.2.0'])).
% 5.86/6.27 cnf('0.1101.0.1',plain,
% 5.86/6.27 ( meet(X1,meet(X1,join(meet(X2,X1),X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1101.0.0','0.1100.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.1101.0.2',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X1,X2),meet(X1,X3)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1101.0.1','0.11.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.1101.1.0',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X1,X2),meet(X1,X3)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.1101.0.2']),
% 5.86/6.27 [weight('<7,95,1100,[0,0,0,0]>')]).
% 5.86/6.27 cnf('0.1101.2.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X2,X1),X3)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.1101.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_971]).
% 5.86/6.27 cnf('0.1104.0.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X1,X3)) = meet(join(X1,meet(X1,X2)),meet(X1,join(meet(X3,X1),X2))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.93.2.0','0.1100.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.1104.0.1',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X1,X3)) = meet(meet(X1,join(X2,X1)),meet(X1,join(meet(X3,X1),X2))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1104.0.0','0.106.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.1','L')]).
% 5.86/6.27 cnf('0.1104.0.2',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,meet(join(X2,X1),meet(X1,join(meet(X3,X1),X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1104.0.1','0.9.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.1104.0.3',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,meet(join(X2,meet(X3,X1)),X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1104.0.2','0.1038.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.1104.0.4',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1104.0.3','0.13.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.1104.1.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.1104.0.4']),
% 5.86/6.27 [weight('<7,1100,93,[0,0,0,4]>')]).
% 5.86/6.27 cnf('0.1104.1.1',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1104.1.0','0.1101.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.1104.2.0',plain,
% 5.86/6.27 ( meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.1104.1.1',theory(equality)]),
% 5.86/6.27 [u,rule_974]).
% 5.86/6.27 cnf('0.1106.0.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X2,X1),X3)) ),
% 5.86/6.27 inference(interreduction_right,[status(thm)],['0.1101.2.0'])).
% 5.86/6.27 cnf('0.1106.0.1',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1106.0.0','0.1104.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.1106.1.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.1106.0.1']),
% 5.86/6.27 [weight('<7,1101,1104,[0,0,0,0]>')]).
% 5.86/6.27 cnf('0.1106.2.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,meet(X3,X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.1106.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_976]).
% 5.86/6.27 cnf('0.1123.0.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X2,meet(X3,X4))) = join(X2,meet(X4,meet(join(X1,X2),X3))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.1096.2.0','0.329.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.1123.1.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X2,meet(X3,X4))) = join(X2,meet(X4,meet(join(X1,X2),X3))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.1123.0.0']),
% 5.86/6.27 [weight('<9,1096,329,[1,0,0,2]>')]).
% 5.86/6.27 cnf('0.1123.2.0',plain,
% 5.86/6.27 ( join(X1,meet(X2,meet(join(X3,X1),X4))) = meet(join(X3,X1),join(X1,meet(X4,X2))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.1123.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_991]).
% 5.86/6.27 cnf('0.1160.0.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X3,join(meet(X2,X3),X1))) = meet(join(X1,X2),join(X3,meet(join(X2,X3),X1))) ),
% 5.86/6.27 inference(interreduction_right,[status(thm)],['0.334.2.0'])).
% 5.86/6.27 cnf('0.1160.0.1',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X3,join(meet(X2,X3),X1))) = meet(join(X1,X2),meet(join(X2,X3),join(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1160.0.0','0.1096.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.1160.1.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X3,join(meet(X2,X3),X1))) = meet(join(X1,X2),meet(join(X2,X3),join(X3,X1))) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.1160.0.1']),
% 5.86/6.27 [weight('<11,334,1096,[0,0,0,0]>')]).
% 5.86/6.27 cnf('0.1160.1.1',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X3,join(X2,meet(X1,X3)))) = meet(join(X1,X2),meet(join(X2,X3),join(X3,X1))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1160.1.0','0.1104.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.1160.2.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X3,join(X2,meet(X1,X3)))) = meet(join(X1,X2),meet(join(X2,X3),join(X3,X1))) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.1160.1.1',theory(equality)]),
% 5.86/6.27 [u,rule_1020]).
% 5.86/6.27 cnf('0.1161.0.0',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X3,join(X3,join(X2,meet(X1,X3))))) = join(X3,meet(join(X1,X2),meet(join(X2,X3),join(X3,X1)))) ),
% 5.86/6.27 inference(cp,[status(thm)],['0.342.2.0','0.1160.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.1161.0.1',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X3,join(X3,meet(X2,meet(X1,X3))))) = join(X3,meet(join(X1,X2),meet(join(X2,X3),join(X3,X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1161.0.0','0.256.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.1161.0.2',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X3,meet(X3,join(X2,join(X1,X3))))) = join(X3,meet(join(X1,X2),meet(join(X2,X3),join(X3,X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1161.0.1','0.236.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2.2','L')]).
% 5.86/6.27 cnf('0.1161.0.3',plain,
% 5.86/6.27 ( join(meet(X1,X2),meet(X3,join(X2,join(X1,X3)))) = join(X3,meet(join(X1,X2),meet(join(X2,X3),join(X3,X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1161.0.2','0.11.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.1161.0.4',plain,
% 5.86/6.27 ( join(X3,meet(X2,X1)) = join(X3,meet(join(X1,X2),meet(join(X2,X3),join(X3,X1)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1161.0.3','0.453.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('0.1161.0.5',plain,
% 5.86/6.27 ( join(X3,meet(X2,X1)) = meet(join(X2,X3),join(X3,meet(join(X3,X1),join(X1,X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1161.0.4','0.1123.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.1161.0.6',plain,
% 5.86/6.27 ( join(X3,meet(X2,X1)) = meet(join(X2,X3),meet(join(X1,X3),join(X3,join(X1,X2)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1161.0.5','0.1094.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.1161.0.7',plain,
% 5.86/6.27 ( join(X3,meet(X2,X1)) = meet(join(X2,X3),join(X3,join(X1,meet(X2,X3)))) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1161.0.6','0.177.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('0.1161.0.8',plain,
% 5.86/6.27 ( join(X3,meet(X2,X1)) = meet(join(X2,X3),join(X3,X1)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1161.0.7','0.522.2.0',theory(equality)]),
% 5.86/6.27 [pos('R','L')]).
% 5.86/6.27 cnf('0.1161.1.0',plain,
% 5.86/6.27 ( join(X3,meet(X2,X1)) = meet(join(X2,X3),join(X3,X1)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.1161.0.8']),
% 5.86/6.27 [weight('<7,1160,342,[0,0,1,2]>')]).
% 5.86/6.27 cnf('0.1161.2.0',plain,
% 5.86/6.27 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(X1,X3)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.1161.1.0',theory(equality)]),
% 5.86/6.27 [x,rule_1021]).
% 5.86/6.27 cnf('0.1162.0.0',plain,
% 5.86/6.27 ( meet(X1,meet(join(X2,X3),join(X3,X1))) = meet(X1,join(X3,X2)) ),
% 5.86/6.27 inference(interreduction_right,[status(thm)],['0.214.2.0'])).
% 5.86/6.27 cnf('0.1162.0.1',plain,
% 5.86/6.27 ( meet(X1,join(X3,meet(X2,X1))) = meet(X1,join(X3,X2)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['0.1162.0.0','0.1161.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('0.1162.1.0',plain,
% 5.86/6.27 ( meet(X1,join(X3,meet(X2,X1))) = meet(X1,join(X3,X2)) ),
% 5.86/6.27 inference(weigh,[status(thm)],['0.1162.0.1']),
% 5.86/6.27 [weight('<7,214,1161,[0,0,0,0]>')]).
% 5.86/6.27 cnf('0.1162.2.0',plain,
% 5.86/6.27 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)) ),
% 5.86/6.27 inference(orient,[status(thm)],['0.1162.1.0',theory(equality)]),
% 5.86/6.27 [u,rule_1022]).
% 5.86/6.27 cnf('1.0.0.0',conjecture,
% 5.86/6.27 ( join(meet(a,b),meet(a,c)) = meet(a,join(b,c)) ),
% 5.86/6.27 file('/tmp/WALDMEISTER_28163_n014',conjecture_1)).
% 5.86/6.27 cnf('1.0.0.1',plain,
% 5.86/6.27 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,c)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['1.0.0.0','0.1106.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('1.0.0.2',plain,
% 5.86/6.27 ( meet(a,join(b,c)) = meet(a,join(b,c)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['1.0.0.1','0.1162.2.0',theory(equality)]),
% 5.86/6.27 [pos('L','L')]).
% 5.86/6.27 cnf('1.0.0.3',plain,
% 5.86/6.27 ( meet(a,join(c,b)) = meet(a,join(b,c)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['1.0.0.2','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('L.2','L')]).
% 5.86/6.27 cnf('1.0.0.4',plain,
% 5.86/6.27 ( meet(a,join(c,b)) = meet(a,join(c,b)) ),
% 5.86/6.27 inference(reduction,[status(thm)],['1.0.0.3','0.3.2.0',theory(equality)]),
% 5.86/6.27 [pos('R.2','L')]).
% 5.86/6.27 cnf('1.0.0.5',plain,
% 5.86/6.27 ( $true ),
% 5.86/6.27 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 5.86/6.27 [conjecture_1]).
% 5.86/6.27
% 5.86/6.27 Proved Goals:
% 5.86/6.27 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))
% 5.86/6.27 1 goal was specified, which was proved.
% 5.86/6.27 % SZS output end CNFRefutation
% 5.86/6.27 #END OF PROOF
% 5.86/6.27
% 5.86/6.27 Problem WALDMEISTER_28163_n014
% 5.86/6.27 CPs.gen 1057954
% 5.86/6.27 CPs.reexp 0
% 5.86/6.27 Select 14649
% 5.86/6.27 R 1022
% 5.86/6.27 E 140
% 5.86/6.27 vsize 8.9M
% 5.86/6.27 rss 4.3M
% 5.86/6.27 process.time 5.277s
% 5.86/6.27 wallclock.time 5.279s
% 5.86/6.27 status S
% 5.86/6.27
% 5.86/6.27
% 5.86/6.27 Waldmeister states: Goal proved.
% 5.86/6.27 % SZS status Unsatisfiable
%------------------------------------------------------------------------------