TSTP Solution File: LAT177-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT177-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 07:15:33 EDT 2022
% Result : Unsatisfiable 267.28s 267.67s
% Output : CNFRefutation 267.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT177-1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : woody %s
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 29 12:35:44 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.97 * |/ | \/ | *
% 0.57/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.97 * A. Jaeger and B. Loechner | | *
% 0.57/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 Goals:
% 0.57/0.97 ------
% 0.57/0.97
% 0.57/0.97 ( 1) meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ?=? meet(a,join(b,meet(a,c)))
% 0.57/0.97
% 0.57/0.97 Detected structure: Verband
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 267.28/267.67 joined goal: 1 meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ?= meet(a,join(b,meet(a,c))) to meet(a,join(b,meet(c,a)))
% 267.28/267.67 goal joined
% 267.28/267.67 % SZS status Unsatisfiable
% 267.28/267.67 #START OF PROOF
% 267.28/267.67 % SZS output start CNFRefutation
% 267.28/267.67 cnf('0.1.0.0',axiom,
% 267.28/267.67 ( X1 = join(X1,X1) ),
% 267.28/267.67 file('/tmp/WALDMEISTER_30289_n023')).
% 267.28/267.67 cnf('0.1.1.0',plain,
% 267.28/267.67 ( X1 = join(X1,X1) ),
% 267.28/267.67 inference(weigh,[status(thm)],['0.1.0.0']),
% 267.28/267.67 [weight('<0,0,0,[0,0,0,1]>')]).
% 267.28/267.67 cnf('0.1.2.0',plain,
% 267.28/267.67 ( join(X1,X1) = X1 ),
% 267.28/267.67 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 267.28/267.67 [x,rule_1]).
% 267.28/267.67 cnf('0.2.0.0',axiom,
% 267.28/267.67 ( X1 = join(X1,meet(X1,X2)) ),
% 267.28/267.67 file('/tmp/WALDMEISTER_30289_n023')).
% 267.28/267.67 cnf('0.2.1.0',plain,
% 267.28/267.67 ( X1 = join(X1,meet(X1,X2)) ),
% 267.28/267.67 inference(weigh,[status(thm)],['0.2.0.0']),
% 267.28/267.67 [weight('<1,0,0,[0,0,0,2]>')]).
% 267.28/267.67 cnf('0.2.2.0',plain,
% 267.28/267.67 ( join(X1,meet(X1,X2)) = X1 ),
% 267.28/267.67 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 267.28/267.67 [x,rule_2]).
% 267.28/267.67 cnf('0.3.0.0',axiom,
% 267.28/267.67 ( X1 = meet(X1,X1) ),
% 267.28/267.67 file('/tmp/WALDMEISTER_30289_n023')).
% 267.28/267.67 cnf('0.3.1.0',plain,
% 267.28/267.67 ( X1 = meet(X1,X1) ),
% 267.28/267.67 inference(weigh,[status(thm)],['0.3.0.0']),
% 267.28/267.67 [weight('<2,0,0,[0,0,0,3]>')]).
% 267.28/267.67 cnf('0.3.2.0',plain,
% 267.28/267.67 ( meet(X1,X1) = X1 ),
% 267.28/267.68 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_3]).
% 267.28/267.68 cnf('0.4.0.0',axiom,
% 267.28/267.68 ( X1 = meet(X1,join(X1,X2)) ),
% 267.28/267.68 file('/tmp/WALDMEISTER_30289_n023')).
% 267.28/267.68 cnf('0.4.1.0',plain,
% 267.28/267.68 ( X1 = meet(X1,join(X1,X2)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.4.0.0']),
% 267.28/267.68 [weight('<3,0,0,[0,0,0,4]>')]).
% 267.28/267.68 cnf('0.4.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X1,X2)) = X1 ),
% 267.28/267.68 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_4]).
% 267.28/267.68 cnf('0.5.0.0',axiom,
% 267.28/267.68 ( join(X1,X2) = join(X2,X1) ),
% 267.28/267.68 file('/tmp/WALDMEISTER_30289_n023')).
% 267.28/267.68 cnf('0.5.1.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X2,X1) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.5.0.0']),
% 267.28/267.68 [weight('<4,0,0,[0,0,0,5]>')]).
% 267.28/267.68 cnf('0.5.2.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X2,X1) ),
% 267.28/267.68 inference(activate,[status(thm)],['0.5.1.0']),
% 267.28/267.68 [equation_1]).
% 267.28/267.68 cnf('0.6.0.0',axiom,
% 267.28/267.68 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 267.28/267.68 file('/tmp/WALDMEISTER_30289_n023')).
% 267.28/267.68 cnf('0.6.1.0',plain,
% 267.28/267.68 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.6.0.0']),
% 267.28/267.68 [weight('<5,0,0,[0,0,0,6]>')]).
% 267.28/267.68 cnf('0.6.2.0',plain,
% 267.28/267.68 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_5]).
% 267.28/267.68 cnf('0.7.0.0',axiom,
% 267.28/267.68 ( join(X1,meet(X2,join(X3,meet(X1,X4)))) = join(X1,meet(join(X1,meet(X2,join(X1,X3))),join(X3,X4))) ),
% 267.28/267.68 file('/tmp/WALDMEISTER_30289_n023')).
% 267.28/267.68 cnf('0.7.1.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X3,meet(X1,X4)))) = join(X1,meet(join(X1,meet(X2,join(X1,X3))),join(X3,X4))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.7.0.0']),
% 267.28/267.68 [weight('<6,0,0,[0,0,0,7]>')]).
% 267.28/267.68 cnf('0.7.2.0',plain,
% 267.28/267.68 ( join(X1,meet(join(X1,meet(X2,join(X1,X3))),join(X3,X4))) = join(X1,meet(X2,join(X3,meet(X1,X4)))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_6]).
% 267.28/267.68 cnf('0.8.0.0',axiom,
% 267.28/267.68 ( meet(X1,X2) = meet(X2,X1) ),
% 267.28/267.68 file('/tmp/WALDMEISTER_30289_n023')).
% 267.28/267.68 cnf('0.8.1.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X2,X1) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.8.0.0']),
% 267.28/267.68 [weight('<7,0,0,[0,0,0,8]>')]).
% 267.28/267.68 cnf('0.8.2.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X2,X1) ),
% 267.28/267.68 inference(activate,[status(thm)],['0.8.1.0']),
% 267.28/267.68 [equation_2]).
% 267.28/267.68 cnf('0.9.0.0',axiom,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 267.28/267.68 file('/tmp/WALDMEISTER_30289_n023')).
% 267.28/267.68 cnf('0.9.1.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.9.0.0']),
% 267.28/267.68 [weight('<8,0,0,[0,0,0,9]>')]).
% 267.28/267.68 cnf('0.9.2.0',plain,
% 267.28/267.68 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_7]).
% 267.28/267.68 cnf('0.10.0.0',plain,
% 267.28/267.68 ( X1 = meet(X1,join(X2,X1)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.10.1.0',plain,
% 267.28/267.68 ( X1 = meet(X1,join(X2,X1)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.10.0.0']),
% 267.28/267.68 [weight('<5,5,4,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.10.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,X1)) = X1 ),
% 267.28/267.68 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_8]).
% 267.28/267.68 cnf('0.11.0.0',plain,
% 267.28/267.68 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.11.1.0',plain,
% 267.28/267.68 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.11.0.0']),
% 267.28/267.68 [weight('<5,6,1,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.11.2.0',plain,
% 267.28/267.68 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_9]).
% 267.28/267.68 cnf('0.12.0.0',plain,
% 267.28/267.68 ( X1 = join(X1,meet(X2,X1)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.12.1.0',plain,
% 267.28/267.68 ( X1 = join(X1,meet(X2,X1)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.12.0.0']),
% 267.28/267.68 [weight('<5,8,2,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.12.2.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,X1)) = X1 ),
% 267.28/267.68 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_10]).
% 267.28/267.68 cnf('0.13.0.0',plain,
% 267.28/267.68 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.13.1.0',plain,
% 267.28/267.68 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.13.0.0']),
% 267.28/267.68 [weight('<5,9,3,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.13.2.0',plain,
% 267.28/267.68 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_11]).
% 267.28/267.68 cnf('0.14.0.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.10.2.0','0.2.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.14.0.1',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.14.0.0','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.14.1.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.14.0.1']),
% 267.28/267.68 [weight('<5,10,2,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.14.2.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_12]).
% 267.28/267.68 cnf('0.15.0.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.11.2.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.15.1.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.15.0.0']),
% 267.28/267.68 [weight('<5,11,5,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.15.2.0',plain,
% 267.28/267.68 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_13]).
% 267.28/267.68 cnf('0.16.0.0',plain,
% 267.28/267.68 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.16.1.0',plain,
% 267.28/267.68 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.16.0.0']),
% 267.28/267.68 [weight('<7,6,2,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.16.2.0',plain,
% 267.28/267.68 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_14]).
% 267.28/267.68 cnf('0.17.0.0',plain,
% 267.28/267.68 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.17.1.0',plain,
% 267.28/267.68 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.17.0.0']),
% 267.28/267.68 [weight('<7,9,4,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.17.2.0',plain,
% 267.28/267.68 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_15]).
% 267.28/267.68 cnf('0.18.0.0',plain,
% 267.28/267.68 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.18.1.0',plain,
% 267.28/267.68 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.18.0.0']),
% 267.28/267.68 [weight('<7,10,6,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.18.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(X3,X1))) = X1 ),
% 267.28/267.68 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_16]).
% 267.28/267.68 cnf('0.19.0.0',plain,
% 267.28/267.68 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.19.1.0',plain,
% 267.28/267.68 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.19.0.0']),
% 267.28/267.68 [weight('<7,10,9,[0,0,0,1]>')]).
% 267.28/267.68 cnf('0.19.2.0',plain,
% 267.28/267.68 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_17]).
% 267.28/267.68 cnf('0.20.0.0',plain,
% 267.28/267.68 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.6.2.0','0.12.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.20.1.0',plain,
% 267.28/267.68 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.20.0.0']),
% 267.28/267.68 [weight('<7,12,6,[0,0,0,1]>')]).
% 267.28/267.68 cnf('0.20.2.0',plain,
% 267.28/267.68 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_18]).
% 267.28/267.68 cnf('0.21.0.0',plain,
% 267.28/267.68 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.12.2.0','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.21.1.0',plain,
% 267.28/267.68 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.21.0.0']),
% 267.28/267.68 [weight('<7,12,9,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.21.2.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 267.28/267.68 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_19]).
% 267.28/267.68 cnf('0.22.0.0',plain,
% 267.28/267.68 ( meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X1,X2),X3) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.9.2.0','0.14.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.22.0.1',plain,
% 267.28/267.68 ( meet(X1,meet(X2,meet(X1,X3))) = meet(meet(X1,X2),X3) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.22.0.0','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.22.0.2',plain,
% 267.28/267.68 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.22.0.1','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.22.1.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.22.0.2']),
% 267.28/267.68 [weight('<7,14,9,[0,0,0,1]>')]).
% 267.28/267.68 cnf('0.22.2.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_20]).
% 267.28/267.68 cnf('0.23.0.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(X3,X1))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.14.2.0','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.23.1.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(X3,X1))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.23.0.0']),
% 267.28/267.68 [weight('<7,14,9,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.23.2.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,meet(X3,X1))) = meet(X1,meet(X2,X3)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_21]).
% 267.28/267.68 cnf('0.25.0.0',plain,
% 267.28/267.68 ( join(X1,join(join(X2,X1),X3)) = join(join(X1,X2),X3) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.6.2.0','0.15.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.25.0.1',plain,
% 267.28/267.68 ( join(X1,join(X2,join(X1,X3))) = join(join(X1,X2),X3) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.25.0.0','0.6.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.25.0.2',plain,
% 267.28/267.68 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.25.0.1','0.6.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.25.1.0',plain,
% 267.28/267.68 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.25.0.2']),
% 267.28/267.68 [weight('<7,15,6,[0,0,0,1]>')]).
% 267.28/267.68 cnf('0.25.2.0',plain,
% 267.28/267.68 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_23]).
% 267.28/267.68 cnf('0.28.0.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.16.2.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.28.1.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.28.0.0']),
% 267.28/267.68 [weight('<7,16,5,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.28.2.0',plain,
% 267.28/267.68 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_26]).
% 267.28/267.68 cnf('0.30.0.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.17.2.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.30.1.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.30.0.0']),
% 267.28/267.68 [weight('<7,17,8,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.30.2.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_28]).
% 267.28/267.68 cnf('0.31.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(X1,X3))) = meet(X1,join(X1,X3)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.17.2.0','0.10.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.31.0.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.31.0.0','0.4.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.31.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.31.0.1']),
% 267.28/267.68 [weight('<7,17,10,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.31.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 267.28/267.68 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_29]).
% 267.28/267.68 cnf('0.37.0.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','L')]).
% 267.28/267.68 cnf('0.37.1.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.37.0.0']),
% 267.28/267.68 [weight('<9,9,4,[1,0,0,0]>')]).
% 267.28/267.68 cnf('0.37.2.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_35]).
% 267.28/267.68 cnf('0.38.0.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X2,meet(X1,X3)))) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.7.2.0','0.10.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.1.2','L')]).
% 267.28/267.68 cnf('0.38.0.1',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.38.0.0','0.4.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.38.1.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.38.0.1']),
% 267.28/267.68 [weight('<9,10,7,[0,0,0,5]>')]).
% 267.28/267.68 cnf('0.38.2.0',plain,
% 267.28/267.68 ( join(X1,meet(join(X1,X2),join(X2,X3))) = join(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_36]).
% 267.28/267.68 cnf('0.39.0.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.10.2.0','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','L')]).
% 267.28/267.68 cnf('0.39.1.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.39.0.0']),
% 267.28/267.68 [weight('<9,10,9,[1,0,0,0]>')]).
% 267.28/267.68 cnf('0.39.2.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_37]).
% 267.28/267.68 cnf('0.40.0.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.12.2.0','0.6.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','L')]).
% 267.28/267.68 cnf('0.40.1.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.40.0.0']),
% 267.28/267.68 [weight('<9,12,6,[1,0,0,0]>')]).
% 267.28/267.68 cnf('0.40.2.0',plain,
% 267.28/267.68 ( join(X1,join(X2,meet(X3,join(X1,X2)))) = join(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_38]).
% 267.28/267.68 cnf('0.41.0.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.10.2.0','0.16.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.41.1.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.41.0.0']),
% 267.28/267.68 [weight('<9,16,10,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.41.1.1',plain,
% 267.28/267.68 ( join(meet(X1,X2),X3) = meet(join(X1,X3),join(meet(X1,X2),X3)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.41.1.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.41.2.0',plain,
% 267.28/267.68 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.41.1.1',theory(equality)]),
% 267.28/267.68 [x,rule_39]).
% 267.28/267.68 cnf('0.42.0.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(meet(X1,X2),join(X1,X3))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.41.2.0','0.11.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.42.0.1',plain,
% 267.28/267.68 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.42.0.0','0.10.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.42.1.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.42.0.1']),
% 267.28/267.68 [weight('<7,41,11,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.42.2.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_40]).
% 267.28/267.68 cnf('0.43.0.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(meet(X1,X3),join(X2,X1)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.42.2.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.43.1.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(meet(X1,X3),join(X2,X1)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.43.0.0']),
% 267.28/267.68 [weight('<7,42,5,[1,0,0,4]>')]).
% 267.28/267.68 cnf('0.43.2.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),join(X3,X1)) = join(X1,X3) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_41]).
% 267.28/267.68 cnf('0.44.0.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(meet(X3,X1),join(X1,X2)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.42.2.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.44.1.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(meet(X3,X1),join(X1,X2)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.44.0.0']),
% 267.28/267.68 [weight('<7,42,8,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.44.2.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),join(X2,X3)) = join(X2,X3) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_42]).
% 267.28/267.68 cnf('0.45.0.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(meet(X3,X1),join(X2,X1)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.43.2.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.45.1.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(meet(X3,X1),join(X2,X1)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.45.0.0']),
% 267.28/267.68 [weight('<7,43,8,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.45.2.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),join(X3,X2)) = join(X2,X3) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_43]).
% 267.28/267.68 cnf('0.46.0.0',plain,
% 267.28/267.68 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.12.2.0','0.17.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.46.1.0',plain,
% 267.28/267.68 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.46.0.0']),
% 267.28/267.68 [weight('<9,17,12,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.46.1.1',plain,
% 267.28/267.68 ( meet(join(X1,X2),X3) = join(meet(X1,X3),meet(join(X1,X2),X3)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.46.1.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.46.2.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(join(X1,X3),X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.46.1.1',theory(equality)]),
% 267.28/267.68 [x,rule_44]).
% 267.28/267.68 cnf('0.47.0.0',plain,
% 267.28/267.68 ( meet(join(X1,X2),meet(X1,X3)) = join(meet(X1,X3),meet(join(X1,X2),meet(X1,X3))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.46.2.0','0.13.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.47.0.1',plain,
% 267.28/267.68 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.47.0.0','0.12.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.47.1.0',plain,
% 267.28/267.68 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.47.0.1']),
% 267.28/267.68 [weight('<7,46,13,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.47.2.0',plain,
% 267.28/267.68 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_45]).
% 267.28/267.68 cnf('0.49.0.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.47.2.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.49.1.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.49.0.0']),
% 267.28/267.68 [weight('<7,47,8,[1,0,0,4]>')]).
% 267.28/267.68 cnf('0.49.2.0',plain,
% 267.28/267.68 ( meet(join(X1,X2),meet(X3,X1)) = meet(X1,X3) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_47]).
% 267.28/267.68 cnf('0.59.0.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.10.2.0','0.20.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.59.1.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.59.0.0']),
% 267.28/267.68 [weight('<9,20,10,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.59.1.1',plain,
% 267.28/267.68 ( join(meet(X1,X2),X3) = meet(join(X2,X3),join(meet(X1,X2),X3)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.59.1.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.59.2.0',plain,
% 267.28/267.68 ( meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.59.1.1',theory(equality)]),
% 267.28/267.68 [x,rule_57]).
% 267.28/267.68 cnf('0.69.0.0',plain,
% 267.28/267.68 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.21.2.0','0.22.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.69.1.0',plain,
% 267.28/267.68 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.69.0.0']),
% 267.28/267.68 [weight('<9,22,21,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.69.2.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X1,meet(X3,X2))) = meet(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_67]).
% 267.28/267.68 cnf('0.75.0.0',plain,
% 267.28/267.68 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(meet(X1,X3),join(X2,X4))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.16.2.0','0.25.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.75.0.1',plain,
% 267.28/267.68 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(X2,X4)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.75.0.0','0.16.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.75.1.0',plain,
% 267.28/267.68 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(X2,X4)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.75.0.1']),
% 267.28/267.68 [weight('<9,25,16,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.75.2.0',plain,
% 267.28/267.68 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(X2,X4)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_73]).
% 267.28/267.68 cnf('0.94.0.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X1,meet(X2,join(meet(X2,X1),X3))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.37.2.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2.1','L')]).
% 267.28/267.68 cnf('0.94.1.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X1,meet(X2,join(meet(X2,X1),X3))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.94.0.0']),
% 267.28/267.68 [weight('<9,37,8,[1,0,0,5]>')]).
% 267.28/267.68 cnf('0.94.2.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,join(meet(X2,X1),X3))) = meet(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_92]).
% 267.28/267.68 cnf('0.95.0.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.38.2.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.1','L')]).
% 267.28/267.68 cnf('0.95.1.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.95.0.0']),
% 267.28/267.68 [weight('<9,38,5,[1,0,0,3]>')]).
% 267.28/267.68 cnf('0.95.2.0',plain,
% 267.28/267.68 ( join(X1,meet(join(X2,X1),join(X2,X3))) = join(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_93]).
% 267.28/267.68 cnf('0.96.0.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X3,X2))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.38.2.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.96.1.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X3,X2))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.96.0.0']),
% 267.28/267.68 [weight('<9,38,5,[1,0,0,6]>')]).
% 267.28/267.68 cnf('0.96.2.0',plain,
% 267.28/267.68 ( join(X1,meet(join(X1,X2),join(X3,X2))) = join(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_94]).
% 267.28/267.68 cnf('0.98.0.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.39.2.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2.2','L')]).
% 267.28/267.68 cnf('0.98.1.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.98.0.0']),
% 267.28/267.68 [weight('<9,39,8,[1,0,0,6]>')]).
% 267.28/267.68 cnf('0.98.2.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,join(X3,meet(X2,X1)))) = meet(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_96]).
% 267.28/267.68 cnf('0.100.0.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.41.2.0','0.2.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.100.1.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.100.0.0']),
% 267.28/267.68 [weight('<9,41,2,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.100.2.0',plain,
% 267.28/267.68 ( meet(X1,join(meet(X1,X2),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_98]).
% 267.28/267.68 cnf('0.105.0.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(meet(X3,meet(X4,X1)),join(X1,X2)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.44.2.0','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.105.1.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(meet(X3,meet(X4,X1)),join(X1,X2)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.105.0.0']),
% 267.28/267.68 [weight('<9,44,9,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.105.2.0',plain,
% 267.28/267.68 ( join(meet(X1,meet(X2,X3)),join(X3,X4)) = join(X3,X4) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_103]).
% 267.28/267.68 cnf('0.107.0.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),join(join(X3,X2),X4)) = join(join(X2,X3),X4) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.6.2.0','0.45.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.107.0.1',plain,
% 267.28/267.68 ( join(meet(X1,X2),join(X3,join(X2,X4))) = join(join(X2,X3),X4) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.107.0.0','0.6.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.107.0.2',plain,
% 267.28/267.68 ( join(meet(X1,X2),join(X3,join(X2,X4))) = join(X2,join(X3,X4)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.107.0.1','0.6.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.107.1.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),join(X3,join(X2,X4))) = join(X2,join(X3,X4)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.107.0.2']),
% 267.28/267.68 [weight('<9,45,6,[0,0,0,1]>')]).
% 267.28/267.68 cnf('0.107.2.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),join(X3,join(X2,X4))) = join(X2,join(X3,X4)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_105]).
% 267.28/267.68 cnf('0.113.0.0',plain,
% 267.28/267.68 ( meet(meet(X1,X2),X3) = meet(join(X2,X4),meet(meet(X1,X2),X3)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.47.2.0','0.44.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.113.0.1',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(join(X2,X4),meet(meet(X1,X2),X3)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.113.0.0','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','L')]).
% 267.28/267.68 cnf('0.113.0.2',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(join(X2,X4),meet(X1,meet(X2,X3))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.113.0.1','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2','L')]).
% 267.28/267.68 cnf('0.113.1.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(join(X2,X4),meet(X1,meet(X2,X3))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.113.0.2']),
% 267.28/267.68 [weight('<9,47,44,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.113.2.0',plain,
% 267.28/267.68 ( meet(join(X1,X2),meet(X3,meet(X1,X4))) = meet(X3,meet(X1,X4)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_111]).
% 267.28/267.68 cnf('0.114.0.0',plain,
% 267.28/267.68 ( meet(meet(X1,X2),X3) = meet(meet(join(X1,X4),X2),meet(meet(X1,X2),X3)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.47.2.0','0.46.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.114.0.1',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(meet(join(X1,X4),X2),meet(meet(X1,X2),X3)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.114.0.0','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','L')]).
% 267.28/267.68 cnf('0.114.0.2',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(join(X1,X4),meet(X2,meet(meet(X1,X2),X3))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.114.0.1','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.114.0.3',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(join(X1,X4),meet(X2,meet(X1,meet(X2,X3)))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.114.0.2','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2.2','L')]).
% 267.28/267.68 cnf('0.114.0.4',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(join(X1,X4),meet(X2,meet(X1,X3))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.114.0.3','0.22.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2','L')]).
% 267.28/267.68 cnf('0.114.1.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(join(X1,X4),meet(X2,meet(X1,X3))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.114.0.4']),
% 267.28/267.68 [weight('<9,47,46,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.114.1.1',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.114.1.0','0.113.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.114.2.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)) ),
% 267.28/267.68 inference(activate,[status(thm)],['0.114.1.1']),
% 267.28/267.68 [equation_3]).
% 267.28/267.68 cnf('0.116.0.0',plain,
% 267.28/267.68 ( meet(meet(X1,X2),X3) = meet(join(X1,X4),meet(X3,meet(X1,X2))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.49.2.0','0.42.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.116.0.1',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(join(X1,X4),meet(X3,meet(X1,X2))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.116.0.0','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','L')]).
% 267.28/267.68 cnf('0.116.1.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(join(X1,X4),meet(X3,meet(X1,X2))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.116.0.1']),
% 267.28/267.68 [weight('<9,49,42,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.116.1.1',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.116.1.0','0.113.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.116.2.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 267.28/267.68 inference(activate,[status(thm)],['0.116.1.1']),
% 267.28/267.68 [equation_4]).
% 267.28/267.68 cnf('0.120.0.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.59.2.0','0.2.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.120.1.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.120.0.0']),
% 267.28/267.68 [weight('<9,59,2,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.120.2.0',plain,
% 267.28/267.68 ( meet(X1,join(meet(X2,X1),meet(X1,X3))) = join(meet(X2,X1),meet(X1,X3)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_116]).
% 267.28/267.68 cnf('0.122.0.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.59.2.0','0.12.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.122.1.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.122.0.0']),
% 267.28/267.68 [weight('<9,59,12,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.122.2.0',plain,
% 267.28/267.68 ( meet(X1,join(meet(X2,X1),meet(X3,X1))) = join(meet(X2,X1),meet(X3,X1)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.122.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_118]).
% 267.28/267.68 cnf('0.124.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X1,X2)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.69.2.0','0.4.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.124.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X1,X2)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.124.0.0']),
% 267.28/267.68 [weight('<9,69,4,[1,0,0,6]>')]).
% 267.28/267.68 cnf('0.124.1.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,join(X2,X3))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.124.1.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.124.2.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X1,join(X2,X3))) = meet(X1,join(X2,X3)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.124.1.1',theory(equality)]),
% 267.28/267.68 [x,rule_120]).
% 267.28/267.68 cnf('0.125.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X1,X3)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.69.2.0','0.10.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.125.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X1,X3)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.125.0.0']),
% 267.28/267.68 [weight('<9,69,10,[1,0,0,6]>')]).
% 267.28/267.68 cnf('0.125.1.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,X3)) = join(meet(X1,X3),meet(X1,join(X2,X3))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.125.1.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.125.2.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X1,join(X3,X2))) = meet(X1,join(X3,X2)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.125.1.1',theory(equality)]),
% 267.28/267.68 [x,rule_121]).
% 267.28/267.68 cnf('0.129.0.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.95.2.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.129.1.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.129.0.0']),
% 267.28/267.68 [weight('<9,95,8,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.129.2.0',plain,
% 267.28/267.68 ( join(X1,meet(join(X2,X3),join(X2,X1))) = join(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.129.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_125]).
% 267.28/267.68 cnf('0.131.0.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,join(X3,meet(X1,meet(X2,join(X1,X3)))))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.96.2.0','0.7.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','L')]).
% 267.28/267.68 cnf('0.131.0.1',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.131.0.0','0.30.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2.2.2','L')]).
% 267.28/267.68 cnf('0.131.1.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.131.0.1']),
% 267.28/267.68 [weight('<9,96,7,[1,0,0,0]>')]).
% 267.28/267.68 cnf('0.131.2.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X3,meet(X1,X2)))) = join(X1,meet(X2,join(X1,X3))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_127]).
% 267.28/267.68 cnf('0.132.0.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,meet(join(X3,X2),join(X1,X2))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.96.2.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.132.1.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,meet(join(X3,X2),join(X1,X2))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.132.0.0']),
% 267.28/267.68 [weight('<9,96,8,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.132.2.0',plain,
% 267.28/267.68 ( join(X1,meet(join(X2,X3),join(X1,X3))) = join(X1,X3) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_128]).
% 267.28/267.68 cnf('0.134.0.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X1,join(meet(X2,X1),meet(X2,X3))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.94.2.0','0.100.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.134.1.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X1,join(meet(X2,X1),meet(X2,X3))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.134.0.0']),
% 267.28/267.68 [weight('<9,100,94,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.134.2.0',plain,
% 267.28/267.68 ( meet(X1,join(meet(X2,X1),meet(X2,X3))) = meet(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.134.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_130]).
% 267.28/267.68 cnf('0.136.0.0',plain,
% 267.28/267.68 ( join(join(X1,X2),X3) = join(meet(X4,X2),join(join(X1,X2),X3)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.105.2.0','0.10.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1.2','L')]).
% 267.28/267.68 cnf('0.136.0.1',plain,
% 267.28/267.68 ( join(X1,join(X2,X3)) = join(meet(X4,X2),join(join(X1,X2),X3)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.136.0.0','0.6.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','L')]).
% 267.28/267.68 cnf('0.136.0.2',plain,
% 267.28/267.68 ( join(X1,join(X2,X3)) = join(meet(X4,X2),join(X1,join(X2,X3))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.136.0.1','0.6.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2','L')]).
% 267.28/267.68 cnf('0.136.1.0',plain,
% 267.28/267.68 ( join(X1,join(X2,X3)) = join(meet(X4,X2),join(X1,join(X2,X3))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.136.0.2']),
% 267.28/267.68 [weight('<9,105,10,[1,0,0,3]>')]).
% 267.28/267.68 cnf('0.136.1.1',plain,
% 267.28/267.68 ( join(X1,join(X2,X3)) = join(X2,join(X1,X3)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.136.1.0','0.107.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.136.2.0',plain,
% 267.28/267.68 ( join(X1,join(X2,X3)) = join(X2,join(X1,X3)) ),
% 267.28/267.68 inference(activate,[status(thm)],['0.136.1.1']),
% 267.28/267.68 [equation_5]).
% 267.28/267.68 cnf('0.139.0.0',plain,
% 267.28/267.68 ( meet(meet(X1,join(X2,X3)),meet(X4,X2)) = meet(X4,meet(X2,X1)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.116.2.0','0.30.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.139.0.1',plain,
% 267.28/267.68 ( meet(X1,meet(join(X2,X3),meet(X4,X2))) = meet(X4,meet(X2,X1)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.139.0.0','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','L')]).
% 267.28/267.68 cnf('0.139.1.0',plain,
% 267.28/267.68 ( meet(X1,meet(join(X2,X3),meet(X4,X2))) = meet(X4,meet(X2,X1)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.139.0.1']),
% 267.28/267.68 [weight('<9,116,30,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.139.1.1',plain,
% 267.28/267.68 ( meet(X1,meet(X2,meet(join(X2,X3),X4))) = meet(X4,meet(X2,X1)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.139.1.0','0.116.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.139.1.2',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X4)) = meet(X4,meet(X2,X1)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.139.1.1','0.17.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.139.2.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)) ),
% 267.28/267.68 inference(activate,[status(thm)],['0.139.1.2']),
% 267.28/267.68 [equation_6]).
% 267.28/267.68 cnf('0.141.0.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X2,X3))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.37.2.0','0.120.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.141.1.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X2,X3))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.141.0.0']),
% 267.28/267.68 [weight('<9,120,37,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.141.2.0',plain,
% 267.28/267.68 ( meet(X1,join(meet(X1,X2),meet(X2,X3))) = meet(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_135]).
% 267.28/267.68 cnf('0.143.0.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X3,X2))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.37.2.0','0.122.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.143.1.0',plain,
% 267.28/267.68 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X3,X2))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.143.0.0']),
% 267.28/267.68 [weight('<9,122,37,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.143.2.0',plain,
% 267.28/267.68 ( meet(X1,join(meet(X1,X2),meet(X3,X2))) = meet(X1,X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.143.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_137]).
% 267.28/267.68 cnf('0.147.0.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.131.2.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2.2','L')]).
% 267.28/267.68 cnf('0.147.1.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.147.0.0']),
% 267.28/267.68 [weight('<9,131,8,[1,0,0,6]>')]).
% 267.28/267.68 cnf('0.147.2.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X3,meet(X2,X1)))) = join(X1,meet(X2,join(X1,X3))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_141]).
% 267.28/267.68 cnf('0.150.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(join(X2,X3),X1),X2)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.134.2.0','0.129.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.150.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(join(X2,X3),X1),X2)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.150.0.0']),
% 267.28/267.68 [weight('<9,134,129,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.150.1.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(join(X2,X3),X1))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.150.1.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2','L')]).
% 267.28/267.68 cnf('0.150.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(join(X2,X3),X1))) = meet(X1,join(X2,X3)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.150.1.1',theory(equality)]),
% 267.28/267.68 [x,rule_144]).
% 267.28/267.68 cnf('0.153.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(X1,join(X2,X3)),X2)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.141.2.0','0.129.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.153.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(X1,join(X2,X3)),X2)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.153.0.0']),
% 267.28/267.68 [weight('<9,141,129,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.153.1.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(X1,join(X2,X3)))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.153.1.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2','L')]).
% 267.28/267.68 cnf('0.153.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X1,join(X2,X3)))) = meet(X1,join(X2,X3)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.153.1.1',theory(equality)]),
% 267.28/267.68 [x,rule_147]).
% 267.28/267.68 cnf('0.156.0.0',plain,
% 267.28/267.68 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.6.2.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','L')]).
% 267.28/267.68 cnf('0.156.1.0',plain,
% 267.28/267.68 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.156.0.0']),
% 267.28/267.68 [weight('<10,6,5,[1,0,0,0]>')]).
% 267.28/267.68 cnf('0.156.2.0',plain,
% 267.28/267.68 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 267.28/267.68 inference(activate,[status(thm)],['0.156.1.0']),
% 267.28/267.68 [equation_7]).
% 267.28/267.68 cnf('0.158.0.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X3,meet(X1,X3)))) = join(X1,meet(join(X1,meet(X2,join(X1,X3))),X3)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.158.1.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X3,meet(X1,X3)))) = join(X1,meet(join(X1,meet(X2,join(X1,X3))),X3)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.158.0.0']),
% 267.28/267.68 [weight('<11,7,1,[1,0,0,10]>')]).
% 267.28/267.68 cnf('0.158.1.1',plain,
% 267.28/267.68 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,join(X1,X3))),X3)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.158.1.0','0.12.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.158.1.2',plain,
% 267.28/267.68 ( join(X1,meet(X2,X3)) = join(X1,meet(X3,join(X1,meet(X2,join(X1,X3))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.158.1.1','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2','L')]).
% 267.28/267.68 cnf('0.158.2.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X1,meet(X3,join(X1,X2))))) = join(X1,meet(X3,X2)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.158.1.2',theory(equality)]),
% 267.28/267.68 [x,rule_150]).
% 267.28/267.68 cnf('0.159.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.153.2.0','0.158.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.159.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.159.0.0']),
% 267.28/267.68 [weight('<9,158,153,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.159.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_151]).
% 267.28/267.68 cnf('0.160.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.159.2.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2.2','L')]).
% 267.28/267.68 cnf('0.160.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.160.0.0']),
% 267.28/267.68 [weight('<9,159,5,[1,0,0,6]>')]).
% 267.28/267.68 cnf('0.160.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_152]).
% 267.28/267.68 cnf('0.162.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(join(X1,X2),X3))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.160.2.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.162.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(join(X1,X2),X3))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.162.0.0']),
% 267.28/267.68 [weight('<9,160,8,[1,0,0,4]>')]).
% 267.28/267.68 cnf('0.162.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(join(X1,X2),X3))) = meet(X1,join(X2,meet(X3,X1))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.162.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_154]).
% 267.28/267.68 cnf('0.209.0.0',plain,
% 267.28/267.68 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X1,join(meet(X2,X1),X3)),meet(X2,X1)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.12.2.0','0.37.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.209.1.0',plain,
% 267.28/267.68 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X1,join(meet(X2,X1),X3)),meet(X2,X1)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.209.0.0']),
% 267.28/267.68 [weight('<11,37,12,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.209.1.1',plain,
% 267.28/267.68 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X2,X1),meet(X1,join(meet(X2,X1),X3))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.209.1.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.209.2.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X2,join(meet(X1,X2),X3))) = meet(X2,join(meet(X1,X2),X3)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.209.1.1',theory(equality)]),
% 267.28/267.68 [x,rule_201]).
% 267.28/267.68 cnf('0.217.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,join(X2,meet(X3,X1))),meet(X3,X1)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.12.2.0','0.39.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.217.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,join(X2,meet(X3,X1))),meet(X3,X1)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.217.0.0']),
% 267.28/267.68 [weight('<11,39,12,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.217.1.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X3,X1),meet(X1,join(X2,meet(X3,X1)))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.217.1.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.217.2.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X2,join(X3,meet(X1,X2)))) = meet(X2,join(X3,meet(X1,X2))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.217.1.1',theory(equality)]),
% 267.28/267.68 [x,rule_209]).
% 267.28/267.68 cnf('0.308.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,join(X2,meet(X1,X3))),meet(X1,X3)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.69.2.0','0.39.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.308.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,join(X2,meet(X1,X3))),meet(X1,X3)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.308.0.0']),
% 267.28/267.68 [weight('<11,69,39,[1,0,0,4]>')]).
% 267.28/267.68 cnf('0.308.1.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,X3),meet(X1,join(X2,meet(X1,X3)))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.308.1.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.308.2.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X1,join(X3,meet(X1,X2)))) = meet(X1,join(X3,meet(X1,X2))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.308.1.1',theory(equality)]),
% 267.28/267.68 [x,rule_300]).
% 267.28/267.68 cnf('0.326.0.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,join(X4,X3))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.18.2.0','0.75.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.326.1.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,join(X4,X3))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.326.0.0']),
% 267.28/267.68 [weight('<11,75,18,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.326.2.0',plain,
% 267.28/267.68 ( meet(join(meet(X1,X2),X3),join(X1,join(X4,X3))) = join(meet(X1,X2),X3) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.326.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_318]).
% 267.28/267.68 cnf('0.411.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,join(X2,meet(X3,X1))),meet(X1,X3)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.69.2.0','0.98.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.411.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,join(X2,meet(X3,X1))),meet(X1,X3)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.411.0.0']),
% 267.28/267.68 [weight('<11,98,69,[0,0,0,4]>')]).
% 267.28/267.68 cnf('0.411.1.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,X3),meet(X1,join(X2,meet(X3,X1)))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.411.1.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.411.2.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X1,join(X3,meet(X2,X1)))) = meet(X1,join(X3,meet(X2,X1))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.411.1.1',theory(equality)]),
% 267.28/267.68 [x,rule_403]).
% 267.28/267.68 cnf('0.464.0.0',plain,
% 267.28/267.68 ( meet(join(meet(X1,X2),meet(X2,X3)),meet(X4,X2)) = meet(join(meet(X1,X2),meet(X2,X3)),meet(X4,join(meet(X1,X2),meet(X2,X3)))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.23.2.0','0.120.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.464.0.1',plain,
% 267.28/267.68 ( meet(join(meet(X1,X2),meet(X2,X3)),meet(X4,X2)) = meet(join(meet(X1,X2),meet(X2,X3)),X4) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.464.0.0','0.14.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.464.1.0',plain,
% 267.28/267.68 ( meet(join(meet(X1,X2),meet(X2,X3)),meet(X4,X2)) = meet(join(meet(X1,X2),meet(X2,X3)),X4) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.464.0.1']),
% 267.28/267.68 [weight('<11,120,23,[0,0,0,4]>')]).
% 267.28/267.68 cnf('0.464.1.1',plain,
% 267.28/267.68 ( meet(X2,meet(X4,join(meet(X1,X2),meet(X2,X3)))) = meet(join(meet(X1,X2),meet(X2,X3)),X4) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.464.1.0','0.139.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','L')]).
% 267.28/267.68 cnf('0.464.2.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,join(meet(X3,X1),meet(X1,X4)))) = meet(join(meet(X3,X1),meet(X1,X4)),X2) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.464.1.1',theory(equality)]),
% 267.28/267.68 [u,rule_456]).
% 267.28/267.68 cnf('0.547.0.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,meet(join(X3,join(X2,X4)),join(X2,X1))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.129.2.0','0.136.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.1','L')]).
% 267.28/267.68 cnf('0.547.1.0',plain,
% 267.28/267.68 ( join(X1,X2) = join(X1,meet(join(X3,join(X2,X4)),join(X2,X1))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.547.0.0']),
% 267.28/267.68 [weight('<11,136,129,[0,0,0,3]>')]).
% 267.28/267.68 cnf('0.547.2.0',plain,
% 267.28/267.68 ( join(X1,meet(join(X2,join(X3,X4)),join(X3,X1))) = join(X1,X3) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.547.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_539]).
% 267.28/267.68 cnf('0.572.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(X3,X4))) = meet(X1,join(meet(X1,join(X2,join(X3,X4))),X3)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.143.2.0','0.31.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.572.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(X3,X4))) = meet(X1,join(meet(X1,join(X2,join(X3,X4))),X3)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.572.0.0']),
% 267.28/267.68 [weight('<11,143,31,[1,0,0,6]>')]).
% 267.28/267.68 cnf('0.572.1.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(X3,X4))) = meet(X1,join(X3,meet(X1,join(X2,join(X3,X4))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.572.1.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2','L')]).
% 267.28/267.68 cnf('0.572.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X1,join(X3,join(X2,X4))))) = meet(X1,join(X3,join(X2,X4))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.572.1.1',theory(equality)]),
% 267.28/267.68 [x,rule_564]).
% 267.28/267.68 cnf('0.589.0.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X3,meet(X2,meet(X4,X1))))) = join(X1,join(meet(X4,X1),meet(X2,join(meet(X4,X1),X3)))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.20.2.0','0.147.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.589.0.1',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X3,meet(X2,meet(X4,X1))))) = join(X1,meet(X2,join(meet(X4,X1),X3))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.589.0.0','0.20.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.589.1.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X3,meet(X2,meet(X4,X1))))) = join(X1,meet(X2,join(meet(X4,X1),X3))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.589.0.1']),
% 267.28/267.68 [weight('<11,147,20,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.589.2.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X3,meet(X2,meet(X4,X1))))) = join(X1,meet(X2,join(meet(X4,X1),X3))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.589.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_581]).
% 267.28/267.68 cnf('0.595.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(join(X2,X3),join(X1,X4)))) = meet(X1,meet(join(X1,X4),join(X2,X3))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.17.2.0','0.150.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.595.0.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(join(X2,X3),join(X1,X4)))) = meet(X1,join(X2,X3)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.595.0.0','0.17.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.595.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(join(X2,X3),join(X1,X4)))) = meet(X1,join(X2,X3)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.595.0.1']),
% 267.28/267.68 [weight('<11,150,17,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.595.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(join(X2,X3),join(X1,X4)))) = meet(X1,join(X2,X3)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.595.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_587]).
% 267.28/267.68 cnf('0.596.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(join(X2,X3),join(X4,X1)))) = meet(X1,meet(join(X4,X1),join(X2,X3))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.19.2.0','0.150.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.596.0.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(join(X2,X3),join(X4,X1)))) = meet(X1,join(X2,X3)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.596.0.0','0.19.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.596.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(join(X2,X3),join(X4,X1)))) = meet(X1,join(X2,X3)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.596.0.1']),
% 267.28/267.68 [weight('<11,150,19,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.596.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(join(X2,X3),join(X4,X1)))) = meet(X1,join(X2,X3)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.596.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_588]).
% 267.28/267.68 cnf('0.605.0.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,join(X3,meet(X1,join(X3,X4))))) = meet(X1,meet(X2,meet(X1,join(X3,X4)))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.22.2.0','0.153.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.605.0.1',plain,
% 267.28/267.68 ( meet(X1,meet(X2,join(X3,meet(X1,join(X3,X4))))) = meet(X1,meet(X2,join(X3,X4))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.605.0.0','0.22.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.605.1.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,join(X3,meet(X1,join(X3,X4))))) = meet(X1,meet(X2,join(X3,X4))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.605.0.1']),
% 267.28/267.68 [weight('<11,153,22,[0,0,0,4]>')]).
% 267.28/267.68 cnf('0.605.2.0',plain,
% 267.28/267.68 ( meet(X1,meet(X2,join(X3,meet(X1,join(X3,X4))))) = meet(X1,meet(X2,join(X3,X4))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.605.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_597]).
% 267.28/267.68 cnf('0.619.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X2,join(X1,X4))))) = meet(X1,meet(join(X1,X4),join(X2,meet(X3,join(X1,X4))))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.17.2.0','0.159.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.619.0.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X2,join(X1,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.619.0.0','0.17.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.619.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X2,join(X1,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.619.0.1']),
% 267.28/267.68 [weight('<11,159,17,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.619.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X2,join(X1,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.619.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_611]).
% 267.28/267.68 cnf('0.785.0.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X2,X4),join(meet(X2,X3),X1))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.547.2.0','0.16.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.1','L')]).
% 267.28/267.68 cnf('0.785.1.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X2,X4),join(meet(X2,X3),X1))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.785.0.0']),
% 267.28/267.68 [weight('<11,547,16,[1,0,0,3]>')]).
% 267.28/267.68 cnf('0.785.2.0',plain,
% 267.28/267.68 ( join(X1,meet(join(X2,X3),join(meet(X2,X4),X1))) = join(X1,meet(X2,X4)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.785.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_777]).
% 267.28/267.68 cnf('0.803.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.595.2.0','0.7.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.803.0.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.803.0.0','0.159.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','L')]).
% 267.28/267.68 cnf('0.803.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.803.0.1']),
% 267.28/267.68 [weight('<11,595,7,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.803.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) = meet(X1,join(X2,meet(X3,X1))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.803.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_795]).
% 267.28/267.68 cnf('0.804.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X2,X1))))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.596.2.0','0.7.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.804.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X2,X1))))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.804.0.0']),
% 267.28/267.68 [weight('<11,596,7,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.804.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X4,meet(X2,X1))))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.804.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_796]).
% 267.28/267.68 cnf('0.809.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X4,join(X2,X1))))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.619.2.0','0.156.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2.2','L')]).
% 267.28/267.68 cnf('0.809.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X4,join(X2,X1))))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.809.0.0']),
% 267.28/267.68 [weight('<11,619,156,[1,0,0,6]>')]).
% 267.28/267.68 cnf('0.809.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X4,join(X2,X1))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.809.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_801]).
% 267.28/267.68 cnf('0.834.0.0',plain,
% 267.28/267.68 ( meet(X1,join(join(X2,X3),meet(X4,X1))) = meet(X1,join(join(X2,X3),meet(X4,join(X1,X3)))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.803.2.0','0.132.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2.2','L')]).
% 267.28/267.68 cnf('0.834.0.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(join(X2,X3),meet(X4,join(X1,X3)))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.834.0.0','0.6.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.834.0.2',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(X2,join(X3,meet(X4,join(X1,X3))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.834.0.1','0.6.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2','L')]).
% 267.28/267.68 cnf('0.834.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(X2,join(X3,meet(X4,join(X1,X3))))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.834.0.2']),
% 267.28/267.68 [weight('<11,803,132,[1,0,0,6]>')]).
% 267.28/267.68 cnf('0.834.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(X3,meet(X4,join(X1,X3))))) = meet(X1,join(X2,join(X3,meet(X4,X1)))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.834.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_826]).
% 267.28/267.68 cnf('0.835.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(meet(X2,X1),X4)))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.804.2.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2.2','L')]).
% 267.28/267.68 cnf('0.835.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(meet(X2,X1),X4)))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.835.0.0']),
% 267.28/267.68 [weight('<11,804,5,[1,0,0,6]>')]).
% 267.28/267.68 cnf('0.835.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(meet(X2,X1),X4)))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.835.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_827]).
% 267.28/267.68 cnf('0.837.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X1,X2))))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.804.2.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2.2.2','L')]).
% 267.28/267.68 cnf('0.837.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X1,X2))))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.837.0.0']),
% 267.28/267.68 [weight('<11,804,8,[1,0,0,8]>')]).
% 267.28/267.68 cnf('0.837.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X4,meet(X1,X2))))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.837.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_829]).
% 267.28/267.68 cnf('0.868.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(meet(X3,X4),meet(X3,X1)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.834.2.0','0.308.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.868.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(meet(X3,X4),meet(X3,X1)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.868.0.0']),
% 267.28/267.68 [weight('<11,834,308,[1,0,0,4]>')]).
% 267.28/267.68 cnf('0.868.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(meet(X3,X4),meet(X3,X1)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.868.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_860]).
% 267.28/267.68 cnf('0.902.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) = meet(X1,join(X2,join(meet(X3,X1),meet(X3,X4)))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.868.2.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.902.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) = meet(X1,join(X2,join(meet(X3,X1),meet(X3,X4)))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.902.0.0']),
% 267.28/267.68 [weight('<11,868,5,[1,0,0,4]>')]).
% 267.28/267.68 cnf('0.902.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(meet(X3,X1),meet(X3,X4)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.902.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_894]).
% 267.28/267.68 cnf('0.916.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) = meet(X1,join(X2,join(meet(X1,X3),meet(X3,X4)))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.902.2.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2.1','L')]).
% 267.28/267.68 cnf('0.916.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) = meet(X1,join(X2,join(meet(X1,X3),meet(X3,X4)))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.916.0.0']),
% 267.28/267.68 [weight('<11,902,8,[1,0,0,5]>')]).
% 267.28/267.68 cnf('0.916.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,join(meet(X1,X3),meet(X3,X4)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.916.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_908]).
% 267.28/267.68 cnf('0.918.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(X4,meet(X3,X1))))))) = meet(X1,join(X2,meet(X3,join(X4,meet(X3,X1))))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.902.2.0','0.308.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.918.0.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(X1,X4)))))) = meet(X1,join(X2,meet(X3,join(X4,meet(X3,X1))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.918.0.0','0.837.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.918.0.2',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X3,X1))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.918.0.1','0.153.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.918.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X3,X1))))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.918.0.2']),
% 267.28/267.68 [weight('<11,902,308,[1,0,0,4]>')]).
% 267.28/267.68 cnf('0.918.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X4,meet(X3,X1))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.918.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_910]).
% 267.28/267.68 cnf('0.920.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(meet(X1,X3),X4)))))) = meet(X1,join(X2,meet(X3,join(meet(X1,X3),X4)))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.916.2.0','0.209.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.920.0.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(X1,X4)))))) = meet(X1,join(X2,meet(X3,join(meet(X1,X3),X4)))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.920.0.0','0.835.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.920.0.2',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(meet(X1,X3),X4)))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.920.0.1','0.153.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.920.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(meet(X1,X3),X4)))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.920.0.2']),
% 267.28/267.68 [weight('<11,916,209,[1,0,0,4]>')]).
% 267.28/267.68 cnf('0.920.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(meet(X1,X3),X4)))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.920.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_912]).
% 267.28/267.68 cnf('0.921.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(X4,meet(X1,X3))))))) = meet(X1,join(X2,meet(X3,join(X4,meet(X1,X3))))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.916.2.0','0.217.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.921.0.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(X1,X4)))))) = meet(X1,join(X2,meet(X3,join(X4,meet(X1,X3))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.921.0.0','0.804.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.921.0.2',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X1,X3))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.921.0.1','0.153.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.921.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X1,X3))))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.921.0.2']),
% 267.28/267.68 [weight('<11,916,217,[1,0,0,4]>')]).
% 267.28/267.68 cnf('0.921.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X4,meet(X1,X3))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.921.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_913]).
% 267.28/267.68 cnf('0.924.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(meet(X3,join(meet(X1,X3),X4)),X2)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.920.2.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.924.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(meet(X3,join(meet(X1,X3),X4)),X2)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.924.0.0']),
% 267.28/267.68 [weight('<11,920,5,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.924.2.0',plain,
% 267.28/267.68 ( meet(X1,join(meet(X2,join(meet(X1,X2),X3)),X4)) = meet(X1,join(X4,meet(X2,join(X1,X3)))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.924.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_916]).
% 267.28/267.68 cnf('0.925.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(meet(X3,join(X4,meet(X1,X3))),X2)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.921.2.0','0.5.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.925.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(meet(X3,join(X4,meet(X1,X3))),X2)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.925.0.0']),
% 267.28/267.68 [weight('<11,921,5,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.925.2.0',plain,
% 267.28/267.68 ( meet(X1,join(meet(X2,join(X3,meet(X1,X2))),X4)) = meet(X1,join(X4,meet(X2,join(X1,X3)))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.925.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_917]).
% 267.28/267.68 cnf('0.1553.0.0',plain,
% 267.28/267.68 ( meet(X1,join(meet(X2,X3),X4)) = join(meet(X2,meet(X1,X3)),meet(X1,join(meet(X2,X3),X4))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.124.2.0','0.114.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.1553.1.0',plain,
% 267.28/267.68 ( meet(X1,join(meet(X2,X3),X4)) = join(meet(X2,meet(X1,X3)),meet(X1,join(meet(X2,X3),X4))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.1553.0.0']),
% 267.28/267.68 [weight('<13,124,114,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.1553.2.0',plain,
% 267.28/267.68 ( join(meet(X1,meet(X2,X3)),meet(X2,join(meet(X1,X3),X4))) = meet(X2,join(meet(X1,X3),X4)) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.1553.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_1545]).
% 267.28/267.68 cnf('0.1559.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = join(meet(X1,X3),meet(X1,join(X2,meet(X3,join(X1,X4))))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.125.2.0','0.30.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.1559.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = join(meet(X1,X3),meet(X1,join(X2,meet(X3,join(X1,X4))))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.1559.0.0']),
% 267.28/267.68 [weight('<13,125,30,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.1559.2.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X1,join(X3,meet(X2,join(X1,X4))))) = meet(X1,join(X3,meet(X2,join(X1,X4)))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.1559.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_1551]).
% 267.28/267.68 cnf('0.1573.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,X4))) = join(meet(X3,meet(X1,X4)),meet(X1,join(X2,meet(X3,X4)))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.125.2.0','0.114.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1','L')]).
% 267.28/267.68 cnf('0.1573.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,X4))) = join(meet(X3,meet(X1,X4)),meet(X1,join(X2,meet(X3,X4)))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.1573.0.0']),
% 267.28/267.68 [weight('<13,125,114,[1,0,0,1]>')]).
% 267.28/267.68 cnf('0.1573.2.0',plain,
% 267.28/267.68 ( join(meet(X1,meet(X2,X3)),meet(X2,join(X4,meet(X1,X3)))) = meet(X2,join(X4,meet(X1,X3))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.1573.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_1565]).
% 267.28/267.68 cnf('0.2761.0.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X3,join(X1,X4))) = meet(join(meet(X1,X2),meet(X3,join(X1,X4))),join(X1,X4)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.326.2.0','0.40.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.2761.1.0',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X3,join(X1,X4))) = meet(join(meet(X1,X2),meet(X3,join(X1,X4))),join(X1,X4)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.2761.0.0']),
% 267.28/267.68 [weight('<13,326,40,[1,0,0,6]>')]).
% 267.28/267.68 cnf('0.2761.1.1',plain,
% 267.28/267.68 ( join(meet(X1,X2),meet(X3,join(X1,X4))) = meet(join(X1,X4),join(meet(X1,X2),meet(X3,join(X1,X4)))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.2761.1.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.2761.2.0',plain,
% 267.28/267.68 ( meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2)))) = join(meet(X1,X3),meet(X4,join(X1,X2))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.2761.1.1',theory(equality)]),
% 267.28/267.68 [x,rule_2753]).
% 267.28/267.68 cnf('0.3979.0.0',plain,
% 267.28/267.68 ( join(meet(join(join(X1,X2),meet(X1,X3)),X4),meet(X1,X3)) = join(meet(join(join(X1,X2),meet(X1,X3)),X4),meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2))))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.785.2.0','0.162.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.3979.0.1',plain,
% 267.28/267.68 ( join(meet(join(X1,join(X2,meet(X1,X3))),X4),meet(X1,X3)) = join(meet(join(join(X1,X2),meet(X1,X3)),X4),meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.3979.0.0','0.6.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1.1','L')]).
% 267.28/267.68 cnf('0.3979.0.2',plain,
% 267.28/267.68 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = join(meet(join(join(X1,X2),meet(X1,X3)),X4),meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.3979.0.1','0.28.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.1.1','L')]).
% 267.28/267.68 cnf('0.3979.0.3',plain,
% 267.28/267.68 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = join(meet(join(X1,join(X2,meet(X1,X3))),X4),meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.3979.0.2','0.6.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.1.1','L')]).
% 267.28/267.68 cnf('0.3979.0.4',plain,
% 267.28/267.68 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = join(meet(join(X1,X2),X4),meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.3979.0.3','0.28.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.1.1','L')]).
% 267.28/267.68 cnf('0.3979.0.5',plain,
% 267.28/267.68 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2)))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.3979.0.4','0.411.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.3979.1.0',plain,
% 267.28/267.68 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2)))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.3979.0.5']),
% 267.28/267.68 [weight('<13,785,162,[1,0,0,2]>')]).
% 267.28/267.68 cnf('0.3979.1.1',plain,
% 267.28/267.68 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = join(meet(X1,X3),meet(X4,join(X1,X2))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.3979.1.0','0.2761.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.3979.2.0',plain,
% 267.28/267.68 ( join(meet(join(X1,X2),X3),meet(X1,X4)) = join(meet(X1,X4),meet(X3,join(X1,X2))) ),
% 267.28/267.68 inference(activate,[status(thm)],['0.3979.1.1']),
% 267.28/267.68 [equation_9]).
% 267.28/267.68 cnf('0.4748.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X4,meet(X3,join(X1,X5)))))) = meet(X1,meet(join(X1,X5),join(X2,meet(X3,join(join(X1,X5),X4))))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.17.2.0','0.918.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.4748.0.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X4,meet(X3,join(X1,X5)))))) = meet(X1,join(X2,meet(X3,join(join(X1,X5),X4)))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.4748.0.0','0.17.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.4748.0.2',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X4,meet(X3,join(X1,X5)))))) = meet(X1,join(X2,meet(X3,join(X1,join(X5,X4))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.4748.0.1','0.6.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2.2.2','L')]).
% 267.28/267.68 cnf('0.4748.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X4,meet(X3,join(X1,X5)))))) = meet(X1,join(X2,meet(X3,join(X1,join(X5,X4))))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.4748.0.2']),
% 267.28/267.68 [weight('<13,918,17,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.4748.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X4,meet(X3,join(X1,X5)))))) = meet(X1,join(X2,meet(X3,join(X1,join(X5,X4))))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.4748.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_4728]).
% 267.28/267.68 cnf('0.5084.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(meet(X3,X4),join(X1,meet(X3,join(meet(X1,X4),X5)))))) = meet(X1,join(meet(meet(X3,X4),meet(X3,join(meet(X1,X4),X5))),X2)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.924.2.0','0.1553.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.1.2','L')]).
% 267.28/267.68 cnf('0.5084.0.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,meet(X4,join(X1,meet(X3,join(meet(X1,X4),X5))))))) = meet(X1,join(meet(meet(X3,X4),meet(X3,join(meet(X1,X4),X5))),X2)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5084.0.0','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.5084.0.2',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,meet(X4,join(X1,meet(X3,join(X1,X5))))))) = meet(X1,join(meet(meet(X3,X4),meet(X3,join(meet(X1,X4),X5))),X2)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5084.0.1','0.835.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2.2','L')]).
% 267.28/267.68 cnf('0.5084.0.3',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,meet(X4,join(X1,X5))))) = meet(X1,join(meet(meet(X3,X4),meet(X3,join(meet(X1,X4),X5))),X2)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5084.0.2','0.605.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.5084.0.4',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,meet(X4,join(X1,X5))))) = meet(X1,join(meet(X3,meet(X4,meet(X3,join(meet(X1,X4),X5)))),X2)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5084.0.3','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2.1','L')]).
% 267.28/267.68 cnf('0.5084.0.5',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,meet(X4,join(X1,X5))))) = meet(X1,join(meet(X3,meet(X4,join(meet(X1,X4),X5))),X2)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5084.0.4','0.22.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2.1','L')]).
% 267.28/267.68 cnf('0.5084.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,meet(X4,join(X1,X5))))) = meet(X1,join(meet(X3,meet(X4,join(meet(X1,X4),X5))),X2)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.5084.0.5']),
% 267.28/267.68 [weight('<13,1553,924,[0,0,0,5]>')]).
% 267.28/267.68 cnf('0.5084.2.0',plain,
% 267.28/267.68 ( meet(X1,join(meet(X2,meet(X3,join(meet(X1,X3),X4))),X5)) = meet(X1,join(X5,meet(X2,meet(X3,join(X1,X4))))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.5084.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_5060]).
% 267.28/267.68 cnf('0.5108.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(meet(X3,X4),join(X1,meet(X3,join(X5,meet(X1,X4))))))) = meet(X1,join(X2,meet(meet(X3,X4),meet(X3,join(X5,meet(X1,X4)))))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.920.2.0','0.1573.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2.2','L')]).
% 267.28/267.68 cnf('0.5108.0.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,meet(X4,join(X1,meet(X3,join(X5,meet(X1,X4)))))))) = meet(X1,join(X2,meet(meet(X3,X4),meet(X3,join(X5,meet(X1,X4)))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5108.0.0','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.5108.0.2',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,meet(X4,join(X1,meet(X3,join(X1,X5))))))) = meet(X1,join(X2,meet(meet(X3,X4),meet(X3,join(X5,meet(X1,X4)))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5108.0.1','0.804.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2.2','L')]).
% 267.28/267.68 cnf('0.5108.0.3',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,meet(X4,join(X1,X5))))) = meet(X1,join(X2,meet(meet(X3,X4),meet(X3,join(X5,meet(X1,X4)))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5108.0.2','0.605.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.5108.0.4',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,meet(X4,join(X1,X5))))) = meet(X1,join(X2,meet(X3,meet(X4,meet(X3,join(X5,meet(X1,X4))))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5108.0.3','0.9.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2.2','L')]).
% 267.28/267.68 cnf('0.5108.0.5',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,meet(X4,join(X1,X5))))) = meet(X1,join(X2,meet(X3,meet(X4,join(X5,meet(X1,X4)))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5108.0.4','0.22.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2.2','L')]).
% 267.28/267.68 cnf('0.5108.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,meet(X4,join(X1,X5))))) = meet(X1,join(X2,meet(X3,meet(X4,join(X5,meet(X1,X4)))))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.5108.0.5']),
% 267.28/267.68 [weight('<13,1573,920,[0,0,0,6]>')]).
% 267.28/267.68 cnf('0.5108.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,meet(X4,join(X5,meet(X1,X4)))))) = meet(X1,join(X2,meet(X3,meet(X4,join(X1,X5))))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.5108.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_5084]).
% 267.28/267.68 cnf('0.5109.0.0',plain,
% 267.28/267.68 ( join(join(X1,meet(X2,X3)),meet(X2,join(meet(X3,join(X1,meet(X2,X3))),X4))) = join(join(X1,meet(X2,X3)),meet(X2,join(X4,meet(X2,meet(X3,join(X2,X1)))))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.589.2.0','0.5108.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.5109.0.1',plain,
% 267.28/267.68 ( join(X1,join(meet(X2,X3),meet(X2,join(meet(X3,join(X1,meet(X2,X3))),X4)))) = join(join(X1,meet(X2,X3)),meet(X2,join(X4,meet(X2,meet(X3,join(X2,X1)))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5109.0.0','0.6.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','L')]).
% 267.28/267.68 cnf('0.5109.0.2',plain,
% 267.28/267.68 ( join(X1,join(meet(X2,X3),meet(X2,join(X4,meet(X3,join(X2,X1)))))) = join(join(X1,meet(X2,X3)),meet(X2,join(X4,meet(X2,meet(X3,join(X2,X1)))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5109.0.1','0.925.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.5109.0.3',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X4,meet(X3,join(X2,X1))))) = join(join(X1,meet(X2,X3)),meet(X2,join(X4,meet(X2,meet(X3,join(X2,X1)))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5109.0.2','0.1559.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','L')]).
% 267.28/267.68 cnf('0.5109.0.4',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X4,meet(X3,join(X2,X1))))) = join(X1,join(meet(X2,X3),meet(X2,join(X4,meet(X2,meet(X3,join(X2,X1))))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5109.0.3','0.6.2.0',theory(equality)]),
% 267.28/267.68 [pos('R','L')]).
% 267.28/267.68 cnf('0.5109.0.5',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X4,meet(X3,join(X2,X1))))) = join(X1,join(meet(X2,X3),meet(X2,join(X4,meet(X2,X3))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5109.0.4','0.30.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2.2.2.2','L')]).
% 267.28/267.68 cnf('0.5109.0.6',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X4,meet(X3,join(X2,X1))))) = join(X1,meet(X2,join(X4,meet(X2,X3)))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5109.0.5','0.308.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2','L')]).
% 267.28/267.68 cnf('0.5109.1.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X4,meet(X3,join(X2,X1))))) = join(X1,meet(X2,join(X4,meet(X2,X3)))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.5109.0.6']),
% 267.28/267.68 [weight('<11,5108,589,[0,0,0,2]>')]).
% 267.28/267.68 cnf('0.5109.2.0',plain,
% 267.28/267.68 ( join(X1,meet(X2,join(X3,meet(X4,join(X2,X1))))) = join(X1,meet(X2,join(X3,meet(X2,X4)))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.5109.1.0',theory(equality)]),
% 267.28/267.68 [u,rule_5085]).
% 267.28/267.68 cnf('0.5662.0.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,meet(X3,join(X1,meet(X3,X4)))))) = meet(X1,join(meet(join(meet(X1,X3),meet(X3,X4)),X3),X2)) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.5084.2.0','0.464.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.1','L')]).
% 267.28/267.68 cnf('0.5662.0.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) = meet(X1,join(meet(join(meet(X1,X3),meet(X3,X4)),X3),X2)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5662.0.0','0.13.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','L')]).
% 267.28/267.68 cnf('0.5662.1.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) = meet(X1,join(meet(join(meet(X1,X3),meet(X3,X4)),X3),X2)) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.5662.0.1']),
% 267.28/267.68 [weight('<13,5084,464,[1,0,0,3]>')]).
% 267.28/267.68 cnf('0.5662.1.1',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) = meet(X1,join(meet(X3,join(meet(X1,X3),meet(X3,X4))),X2)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5662.1.0','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2.1','L')]).
% 267.28/267.68 cnf('0.5662.1.2',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) = meet(X1,join(join(meet(X1,X3),meet(X3,X4)),X2)) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5662.1.1','0.120.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2.1','L')]).
% 267.28/267.68 cnf('0.5662.1.3',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) = meet(X1,join(meet(X1,X3),join(meet(X3,X4),X2))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5662.1.2','0.6.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2','L')]).
% 267.28/267.68 cnf('0.5662.2.0',plain,
% 267.28/267.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) = meet(X1,join(meet(X1,X3),join(meet(X3,X4),X2))) ),
% 267.28/267.68 inference(activate,[status(thm)],['0.5662.1.3']),
% 267.28/267.68 [equation_65]).
% 267.28/267.68 cnf('0.5921.0.0',plain,
% 267.28/267.68 ( meet(X1,join(meet(X1,X2),join(meet(X2,X3),X4))) = meet(X1,join(meet(X2,X3),meet(X1,join(X4,meet(X2,join(X1,meet(X2,X3))))))) ),
% 267.28/267.68 inference(cp,[status(thm)],['0.572.2.0','0.5662.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2','R')]).
% 267.28/267.68 cnf('0.5921.0.1',plain,
% 267.28/267.68 ( meet(X1,join(meet(X1,X2),join(meet(X2,X3),X4))) = meet(X1,join(meet(X2,X3),meet(X1,join(X4,meet(X1,X2))))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['0.5921.0.0','0.5109.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2','L')]).
% 267.28/267.68 cnf('0.5921.1.0',plain,
% 267.28/267.68 ( meet(X1,join(meet(X1,X2),join(meet(X2,X3),X4))) = meet(X1,join(meet(X2,X3),meet(X1,join(X4,meet(X1,X2))))) ),
% 267.28/267.68 inference(weigh,[status(thm)],['0.5921.0.1']),
% 267.28/267.68 [weight('<13,5662,572,[0,1,0,4]>')]).
% 267.28/267.68 cnf('0.5921.2.0',plain,
% 267.28/267.68 ( meet(X1,join(meet(X2,X3),meet(X1,join(X4,meet(X1,X2))))) = meet(X1,join(meet(X1,X2),join(meet(X2,X3),X4))) ),
% 267.28/267.68 inference(orient,[status(thm)],['0.5921.1.0',theory(equality)]),
% 267.28/267.68 [x,rule_5829]).
% 267.28/267.68 cnf('1.0.0.0',conjecture,
% 267.28/267.68 ( meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) = meet(a,join(b,meet(a,c))) ),
% 267.28/267.68 file('/tmp/WALDMEISTER_30289_n023',conjecture_1)).
% 267.28/267.68 cnf('1.0.0.1',plain,
% 267.28/267.68 ( meet(a,join(meet(join(a,b),c),meet(a,join(b,meet(a,c))))) = meet(a,join(b,meet(a,c))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['1.0.0.0','0.3979.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2','R')]).
% 267.28/267.68 cnf('1.0.0.2',plain,
% 267.28/267.68 ( meet(a,join(meet(c,join(a,b)),meet(a,join(b,meet(a,c))))) = meet(a,join(b,meet(a,c))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['1.0.0.1','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.1','L')]).
% 267.28/267.68 cnf('1.0.0.3',plain,
% 267.28/267.68 ( meet(a,join(meet(a,c),join(meet(c,join(a,b)),b))) = meet(a,join(b,meet(a,c))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['1.0.0.2','0.5921.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','L')]).
% 267.28/267.68 cnf('1.0.0.4',plain,
% 267.28/267.68 ( meet(a,join(b,meet(c,join(a,meet(c,join(a,b)))))) = meet(a,join(b,meet(a,c))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['1.0.0.3','0.5662.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','R')]).
% 267.28/267.68 cnf('1.0.0.5',plain,
% 267.28/267.68 ( meet(a,join(b,meet(c,join(a,join(b,a))))) = meet(a,join(b,meet(a,c))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['1.0.0.4','0.4748.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','L')]).
% 267.28/267.68 cnf('1.0.0.6',plain,
% 267.28/267.68 ( meet(a,join(b,meet(c,join(a,a)))) = meet(a,join(b,meet(a,c))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['1.0.0.5','0.809.2.0',theory(equality)]),
% 267.28/267.68 [pos('L','L')]).
% 267.28/267.68 cnf('1.0.0.7',plain,
% 267.28/267.68 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(a,c))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['1.0.0.6','0.1.2.0',theory(equality)]),
% 267.28/267.68 [pos('L.2.2.2','L')]).
% 267.28/267.68 cnf('1.0.0.8',plain,
% 267.28/267.68 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(c,a))) ),
% 267.28/267.68 inference(reduction,[status(thm)],['1.0.0.7','0.8.2.0',theory(equality)]),
% 267.28/267.68 [pos('R.2.2','L')]).
% 267.28/267.68 cnf('1.0.0.9',plain,
% 267.28/267.68 ( $true ),
% 267.28/267.68 inference(trivial,[status(thm)],['1.0.0.8',theory(equality)]),
% 267.28/267.68 [conjecture_1]).
% 267.28/267.68
% 267.28/267.68 Proved Goals:
% 267.28/267.68 No. 1: meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ?= meet(a,join(b,meet(a,c))) joined, current: meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(c,a)))
% 267.28/267.68 1 goal was specified, which was proved.
% 267.28/267.68 % SZS output end CNFRefutation
% 267.28/267.68 #END OF PROOF
% 267.28/267.68
% 267.28/267.68 Problem WALDMEISTER_30289_n023
% 267.28/267.68 CPs.gen 51293416
% 267.28/267.68 CPs.reexp 0
% 267.28/267.68 Select 588496
% 267.28/267.68 R 5829
% 267.28/267.68 E 92
% 267.28/267.68 vsize 14.2M
% 267.28/267.68 rss 9.4M
% 267.28/267.68 process.time 266.711s
% 267.28/267.68 wallclock.time 266.704s
% 267.28/267.68 status S
% 267.28/267.68
% 267.28/267.68
% 267.28/267.68 Waldmeister states: Goal proved.
% 267.28/267.68 % SZS status Unsatisfiable
%------------------------------------------------------------------------------