TSTP Solution File: LAT093-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT093-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n007.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 07:15:07 EDT 2022
% Result : Unsatisfiable 1.11s 1.56s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT093-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 30 00:27:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.96 * |/ | \/ | *
% 0.57/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.96 * A. Jaeger and B. Loechner | | *
% 0.57/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.96
% 0.57/0.96 Goals:
% 0.57/0.96 ------
% 0.57/0.96
% 0.57/0.96 ( 1) meet(b,a) ?=? meet(a,b)
% 0.57/0.96
% 0.57/0.96 Detected structure: Orkus
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 1.11/1.56 joined goal: 1 meet(b,a) ?= meet(a,b) to meet(a,b)
% 1.11/1.56 goal joined
% 1.11/1.56 % SZS status Unsatisfiable
% 1.11/1.56 #START OF PROOF
% 1.11/1.56 % SZS output start CNFRefutation
% 1.11/1.56 cnf('0.1.0.0',axiom,
% 1.11/1.56 ( X1 = join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X3),meet(join(meet(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)))),join(join(meet(X2,X1),meet(X1,join(X2,X1))),X3))) ),
% 1.11/1.56 file('/tmp/WALDMEISTER_29685_n007')).
% 1.11/1.56 cnf('0.1.1.0',plain,
% 1.11/1.56 ( X1 = join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X3),meet(join(meet(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)))),join(join(meet(X2,X1),meet(X1,join(X2,X1))),X3))) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.11/1.56 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.11/1.56 cnf('0.1.2.0',plain,
% 1.11/1.56 ( join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)),meet(X6,join(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)))),join(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_1]).
% 1.11/1.56 cnf('0.2.0.0',plain,
% 1.11/1.56 ( join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = join(meet(X2,X6),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X7),meet(X8,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),meet(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),meet(meet(join(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X7),join(X8,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),meet(X9,join(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),meet(meet(join(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X7),join(X8,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X7),meet(X8,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),X6))) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.1','L')]).
% 1.11/1.56 cnf('0.2.0.1',plain,
% 1.11/1.56 ( join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = join(meet(X2,X6),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X7),meet(X8,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),meet(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),meet(meet(join(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X7),join(X8,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),meet(X9,join(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),meet(meet(join(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X7),join(X8,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X7),meet(X8,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),join(X2,X6))) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.2.0.0','0.1.2.0',theory(equality)]),
% 1.11/1.56 [pos('R.2.2.1','L')]).
% 1.11/1.56 cnf('0.2.1.0',plain,
% 1.11/1.56 ( join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = join(meet(X2,X6),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X7),meet(X8,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),meet(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),meet(meet(join(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X7),join(X8,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),meet(X9,join(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),meet(meet(join(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X7),join(X8,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X7),meet(X8,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),join(X2,X6))) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.2.0.1']),
% 1.11/1.56 [weight('<?,1,1,[0,0,0,2]>')]).
% 1.11/1.56 cnf('0.2.2.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),meet(join(meet(join(meet(X3,X1),meet(X1,join(X3,X1))),join(join(meet(join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))),X7),meet(X8,join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))))),join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))))),meet(join(meet(join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))),meet(meet(join(join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))),X7),join(X8,join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))))),join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))))),meet(X9,join(join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))),meet(meet(join(join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))),X7),join(X8,join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))))),join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))))))),join(join(meet(X3,X1),meet(X1,join(X3,X1))),join(join(meet(join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))),X7),meet(X8,join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))))),join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))))))),join(X1,X2))) = join(meet(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X1,X4),join(X5,X1)),X1)))),join(X3,join(join(meet(X1,X4),meet(X5,X1)),X1)))) ),
% 1.11/1.56 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_2]).
% 1.11/1.56 cnf('0.3.0.0',plain,
% 1.11/1.56 ( X1 = join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X3),meet(join(meet(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X6,join(join(meet(X1,X7),meet(X8,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X7),join(X8,X1)),X1)),meet(X9,join(X1,meet(meet(join(X1,X7),join(X8,X1)),X1)))),join(X6,join(join(meet(X1,X7),meet(X8,X1)),X1)))),join(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)))),join(join(meet(X2,X1),meet(X1,join(X2,X1))),X3))) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.2.1.2.1','L')]).
% 1.11/1.56 cnf('0.3.1.0',plain,
% 1.11/1.56 ( X1 = join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X3),meet(join(meet(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(join(meet(X6,join(join(meet(X1,X7),meet(X8,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X7),join(X8,X1)),X1)),meet(X9,join(X1,meet(meet(join(X1,X7),join(X8,X1)),X1)))),join(X6,join(join(meet(X1,X7),meet(X8,X1)),X1)))),join(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)))),join(join(meet(X2,X1),meet(X1,join(X2,X1))),X3))) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.11/1.56 [weight('<9701,2,1,[0,0,0,26]>')]).
% 1.11/1.56 cnf('0.3.2.0',plain,
% 1.11/1.56 ( join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)),meet(join(meet(X6,join(join(meet(X2,X7),meet(X8,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X7),join(X8,X2)),X2)),meet(X9,join(X2,meet(meet(join(X2,X7),join(X8,X2)),X2)))),join(X6,join(join(meet(X2,X7),meet(X8,X2)),X2)))),join(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_3]).
% 1.11/1.56 cnf('0.4.0.0',plain,
% 1.11/1.56 ( X1 = join(meet(join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X1),meet(X1,join(join(meet(X2,X1),meet(X1,join(X2,X1))),X1))),X3),meet(X1,join(join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X1),meet(X1,join(join(meet(X2,X1),meet(X1,join(X2,X1))),X1))),X3))) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.2.1','L')]).
% 1.11/1.56 cnf('0.4.1.0',plain,
% 1.11/1.56 ( X1 = join(meet(join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X1),meet(X1,join(join(meet(X2,X1),meet(X1,join(X2,X1))),X1))),X3),meet(X1,join(join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X1),meet(X1,join(join(meet(X2,X1),meet(X1,join(X2,X1))),X1))),X3))) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.4.0.0']),
% 1.11/1.56 [weight('<3421,3,1,[1,0,0,13]>')]).
% 1.11/1.56 cnf('0.4.2.0',plain,
% 1.11/1.56 ( join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X3),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X3))) = X2 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_4]).
% 1.11/1.56 cnf('0.5.0.0',plain,
% 1.11/1.56 ( X1 = join(meet(X1,X2),meet(X1,join(join(meet(join(meet(join(meet(X3,X1),meet(X1,join(X3,X1))),X1),meet(X1,join(join(meet(X3,X1),meet(X1,join(X3,X1))),X1))),X1),meet(X1,join(join(meet(join(meet(X3,X1),meet(X1,join(X3,X1))),X1),meet(X1,join(join(meet(X3,X1),meet(X1,join(X3,X1))),X1))),X1))),X2))) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.4.2.0','0.4.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.1','L')]).
% 1.11/1.56 cnf('0.5.0.1',plain,
% 1.11/1.56 ( X1 = join(meet(X1,X2),meet(X1,join(X1,X2))) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.5.0.0','0.4.2.0',theory(equality)]),
% 1.11/1.56 [pos('R.2.2.1','L')]).
% 1.11/1.56 cnf('0.5.1.0',plain,
% 1.11/1.56 ( X1 = join(meet(X1,X2),meet(X1,join(X1,X2))) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.5.0.1']),
% 1.11/1.56 [weight('<109,4,4,[0,0,0,2]>')]).
% 1.11/1.56 cnf('0.5.2.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),meet(X1,join(X1,X2))) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_5]).
% 1.11/1.56 cnf('0.6.0.0',plain,
% 1.11/1.56 ( meet(X1,X2) = join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.2.2','L')]).
% 1.11/1.56 cnf('0.6.1.0',plain,
% 1.11/1.56 ( meet(X1,X2) = join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.6.0.0']),
% 1.11/1.56 [weight('<303,5,5,[0,0,0,6]>')]).
% 1.11/1.56 cnf('0.6.2.0',plain,
% 1.11/1.56 ( join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) = meet(X1,X2) ),
% 1.11/1.56 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_6]).
% 1.11/1.56 cnf('0.8.0.0',plain,
% 1.11/1.56 ( X1 = join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X3),meet(join(meet(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(X1,join(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)))),join(join(meet(X2,X1),meet(X1,join(X2,X1))),X3))) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.2.1.2.1','L')]).
% 1.11/1.56 cnf('0.8.1.0',plain,
% 1.11/1.56 ( X1 = join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X3),meet(join(meet(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(X1,join(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)))),join(join(meet(X2,X1),meet(X1,join(X2,X1))),X3))) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.8.0.0']),
% 1.11/1.56 [weight('<2549,5,1,[0,0,0,26]>')]).
% 1.11/1.56 cnf('0.8.2.0',plain,
% 1.11/1.56 ( join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_8]).
% 1.11/1.56 cnf('0.9.0.0',plain,
% 1.11/1.56 ( join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = join(meet(X2,X5),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X6),meet(X7,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X6),meet(X7,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),X5))) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.8.2.0','0.8.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.1','L')]).
% 1.11/1.56 cnf('0.9.0.1',plain,
% 1.11/1.56 ( join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = join(meet(X2,X5),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2))))))),X5))) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.9.0.0','0.8.2.0',theory(equality)]),
% 1.11/1.56 [pos('R.2.1','L')]).
% 1.11/1.56 cnf('0.9.0.2',plain,
% 1.11/1.56 ( join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = join(meet(X2,X5),meet(X2,join(X2,X5))) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.9.0.1','0.8.2.0',theory(equality)]),
% 1.11/1.56 [pos('R.2.2.1','L')]).
% 1.11/1.56 cnf('0.9.0.3',plain,
% 1.11/1.56 ( join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = X2 ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.9.0.2','0.5.2.0',theory(equality)]),
% 1.11/1.56 [pos('R','L')]).
% 1.11/1.56 cnf('0.9.1.0',plain,
% 1.11/1.56 ( join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = X2 ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.9.0.3']),
% 1.11/1.56 [weight('<701,8,8,[0,0,0,2]>')]).
% 1.11/1.56 cnf('0.9.2.0',plain,
% 1.11/1.56 ( join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = X2 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 1.11/1.56 [u,rule_9]).
% 1.11/1.56 cnf('0.10.0.0',plain,
% 1.11/1.56 ( join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2 ),
% 1.11/1.56 inference(interreduction_right,[status(thm)],['0.8.2.0'])).
% 1.11/1.56 cnf('0.10.0.1',plain,
% 1.11/1.56 ( join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2 ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.10.0.0','0.9.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.2.1','L')]).
% 1.11/1.56 cnf('0.10.1.0',plain,
% 1.11/1.56 ( join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2 ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.10.0.1']),
% 1.11/1.56 [weight('<701,8,9,[0,0,0,0]>')]).
% 1.11/1.56 cnf('0.10.2.0',plain,
% 1.11/1.56 ( join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 1.11/1.56 [u,rule_10]).
% 1.11/1.56 cnf('0.14.0.0',plain,
% 1.11/1.56 ( join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = join(meet(X2,X6),meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X7),meet(X8,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))),X7),meet(X8,join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))),join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))))))),join(X2,X6))) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.2.2.0','0.5.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.2.1.2.1','L')]).
% 1.11/1.56 cnf('0.14.0.1',plain,
% 1.11/1.56 ( join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = join(meet(X2,X6),meet(X2,join(X2,X6))) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.14.0.0','0.1.2.0',theory(equality)]),
% 1.11/1.56 [pos('R.2.1','L')]).
% 1.11/1.56 cnf('0.14.0.2',plain,
% 1.11/1.56 ( join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = X2 ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.14.0.1','0.5.2.0',theory(equality)]),
% 1.11/1.56 [pos('R','L')]).
% 1.11/1.56 cnf('0.14.1.0',plain,
% 1.11/1.56 ( join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = X2 ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.14.0.2']),
% 1.11/1.56 [weight('<2549,5,2,[0,0,0,170]>')]).
% 1.11/1.56 cnf('0.14.2.0',plain,
% 1.11/1.56 ( join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = X2 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 1.11/1.56 [u,rule_14]).
% 1.11/1.56 cnf('0.15.0.0',plain,
% 1.11/1.56 ( X1 = join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.14.2.0','0.5.2.0',theory(equality)]),
% 1.11/1.56 [pos('L','L')]).
% 1.11/1.56 cnf('0.15.1.0',plain,
% 1.11/1.56 ( X1 = join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.15.0.0']),
% 1.11/1.56 [weight('<701,14,5,[1,0,0,0]>')]).
% 1.11/1.56 cnf('0.15.2.0',plain,
% 1.11/1.56 ( join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_15]).
% 1.11/1.56 cnf('0.16.0.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),meet(X2,join(X1,X2))) = X2 ),
% 1.11/1.56 inference(cp,[status(thm)],['0.15.2.0','0.10.2.0',theory(equality)]),
% 1.11/1.56 [pos('L','L')]).
% 1.11/1.56 cnf('0.16.1.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),meet(X2,join(X1,X2))) = X2 ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.16.0.0']),
% 1.11/1.56 [weight('<109,15,10,[1,0,0,0]>')]).
% 1.11/1.56 cnf('0.16.2.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),meet(X2,join(X1,X2))) = X2 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 1.11/1.56 [u,rule_16]).
% 1.11/1.56 cnf('0.17.0.0',plain,
% 1.11/1.56 ( meet(meet(join(X1,X2),join(X3,X1)),X1) = X1 ),
% 1.11/1.56 inference(cp,[status(thm)],['0.16.2.0','0.15.2.0',theory(equality)]),
% 1.11/1.56 [pos('L','L')]).
% 1.11/1.56 cnf('0.17.1.0',plain,
% 1.11/1.56 ( meet(meet(join(X1,X2),join(X3,X1)),X1) = X1 ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.17.0.0']),
% 1.11/1.56 [weight('<109,16,15,[1,0,0,0]>')]).
% 1.11/1.56 cnf('0.17.2.0',plain,
% 1.11/1.56 ( meet(meet(join(X1,X2),join(X3,X1)),X1) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 1.11/1.56 [u,rule_17]).
% 1.11/1.56 cnf('0.18.0.0',plain,
% 1.11/1.56 ( join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))) = X1 ),
% 1.11/1.56 inference(interreduction_right,[status(thm)],['0.15.2.0'])).
% 1.11/1.56 cnf('0.18.0.1',plain,
% 1.11/1.56 ( join(meet(X1,X1),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))) = X1 ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.18.0.0','0.17.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.2','L')]).
% 1.11/1.56 cnf('0.18.0.2',plain,
% 1.11/1.56 ( join(meet(X1,X1),meet(X4,join(X1,X1))) = X1 ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.18.0.1','0.17.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.2.2.2','L')]).
% 1.11/1.56 cnf('0.18.1.0',plain,
% 1.11/1.56 ( join(meet(X1,X1),meet(X4,join(X1,X1))) = X1 ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.18.0.2']),
% 1.11/1.56 [weight('<109,15,17,[0,0,0,0]>')]).
% 1.11/1.56 cnf('0.18.2.0',plain,
% 1.11/1.56 ( join(meet(X1,X1),meet(X2,join(X1,X1))) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 1.11/1.56 [u,rule_18]).
% 1.11/1.56 cnf('0.19.0.0',plain,
% 1.11/1.56 ( X1 = join(meet(X1,X1),join(X1,X1)) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.18.2.0','0.17.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.2','L')]).
% 1.11/1.56 cnf('0.19.1.0',plain,
% 1.11/1.56 ( X1 = join(meet(X1,X1),join(X1,X1)) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.19.0.0']),
% 1.11/1.56 [weight('<71,18,17,[1,0,0,4]>')]).
% 1.11/1.56 cnf('0.19.2.0',plain,
% 1.11/1.56 ( join(meet(X1,X1),join(X1,X1)) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_19]).
% 1.11/1.56 cnf('0.20.0.0',plain,
% 1.11/1.56 ( join(join(meet(X1,X2),meet(X3,X1)),X1) = X1 ),
% 1.11/1.56 inference(cp,[status(thm)],['0.18.2.0','0.9.2.0',theory(equality)]),
% 1.11/1.56 [pos('L','L')]).
% 1.11/1.56 cnf('0.20.1.0',plain,
% 1.11/1.56 ( join(join(meet(X1,X2),meet(X3,X1)),X1) = X1 ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.20.0.0']),
% 1.11/1.56 [weight('<109,18,9,[1,0,0,0]>')]).
% 1.11/1.56 cnf('0.20.2.0',plain,
% 1.11/1.56 ( join(join(meet(X1,X2),meet(X3,X1)),X1) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 1.11/1.56 [u,rule_20]).
% 1.11/1.56 cnf('0.21.0.0',plain,
% 1.11/1.56 ( X1 = meet(meet(join(X1,X2),X1),X1) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.17.2.0','0.20.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.2','L')]).
% 1.11/1.56 cnf('0.21.1.0',plain,
% 1.11/1.56 ( X1 = meet(meet(join(X1,X2),X1),X1) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.21.0.0']),
% 1.11/1.56 [weight('<71,20,17,[0,0,0,5]>')]).
% 1.11/1.56 cnf('0.21.2.0',plain,
% 1.11/1.56 ( meet(meet(join(X1,X2),X1),X1) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_21]).
% 1.11/1.56 cnf('0.22.0.0',plain,
% 1.11/1.56 ( X1 = join(join(meet(X1,X2),X1),X1) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.20.2.0','0.17.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.2','L')]).
% 1.11/1.56 cnf('0.22.1.0',plain,
% 1.11/1.56 ( X1 = join(join(meet(X1,X2),X1),X1) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.22.0.0']),
% 1.11/1.56 [weight('<71,20,17,[1,0,0,5]>')]).
% 1.11/1.56 cnf('0.22.2.0',plain,
% 1.11/1.56 ( join(join(meet(X1,X2),X1),X1) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_22]).
% 1.11/1.56 cnf('0.23.0.0',plain,
% 1.11/1.56 ( meet(X1,X2) = meet(meet(X1,meet(X1,X2)),meet(X1,X2)) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.21.2.0','0.5.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.1','L')]).
% 1.11/1.56 cnf('0.23.1.0',plain,
% 1.11/1.56 ( meet(X1,X2) = meet(meet(X1,meet(X1,X2)),meet(X1,X2)) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.23.0.0']),
% 1.11/1.56 [weight('<129,21,5,[1,0,0,2]>')]).
% 1.11/1.56 cnf('0.23.2.0',plain,
% 1.11/1.56 ( meet(meet(X1,meet(X1,X2)),meet(X1,X2)) = meet(X1,X2) ),
% 1.11/1.56 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_23]).
% 1.11/1.56 cnf('0.24.0.0',plain,
% 1.11/1.56 ( meet(meet(join(X1,X2),join(X3,X1)),X1) = meet(meet(meet(join(X1,X2),join(X3,X1)),X1),meet(meet(join(X1,X2),join(X3,X1)),X1)) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.23.2.0','0.17.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.2','L')]).
% 1.11/1.56 cnf('0.24.0.1',plain,
% 1.11/1.56 ( X1 = meet(meet(meet(join(X1,X2),join(X3,X1)),X1),meet(meet(join(X1,X2),join(X3,X1)),X1)) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.24.0.0','0.17.2.0',theory(equality)]),
% 1.11/1.56 [pos('L','L')]).
% 1.11/1.56 cnf('0.24.0.2',plain,
% 1.11/1.56 ( X1 = meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.24.0.1','0.17.2.0',theory(equality)]),
% 1.11/1.56 [pos('R.1','L')]).
% 1.11/1.56 cnf('0.24.0.3',plain,
% 1.11/1.56 ( X1 = meet(X1,X1) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.24.0.2','0.17.2.0',theory(equality)]),
% 1.11/1.56 [pos('R.2','L')]).
% 1.11/1.56 cnf('0.24.1.0',plain,
% 1.11/1.56 ( X1 = meet(X1,X1) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.24.0.3']),
% 1.11/1.56 [weight('<19,23,17,[1,0,0,3]>')]).
% 1.11/1.56 cnf('0.24.2.0',plain,
% 1.11/1.56 ( meet(X1,X1) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_24]).
% 1.11/1.56 cnf('0.25.0.0',plain,
% 1.11/1.56 ( join(meet(X1,X1),join(X1,X1)) = X1 ),
% 1.11/1.56 inference(interreduction_right,[status(thm)],['0.19.2.0'])).
% 1.11/1.56 cnf('0.25.0.1',plain,
% 1.11/1.56 ( join(X1,join(X1,X1)) = X1 ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.25.0.0','0.24.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1','L')]).
% 1.11/1.56 cnf('0.25.1.0',plain,
% 1.11/1.56 ( join(X1,join(X1,X1)) = X1 ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.25.0.1']),
% 1.11/1.56 [weight('<41,19,24,[0,0,0,0]>')]).
% 1.11/1.56 cnf('0.25.2.0',plain,
% 1.11/1.56 ( join(X1,join(X1,X1)) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 1.11/1.56 [u,rule_25]).
% 1.11/1.56 cnf('0.26.0.0',plain,
% 1.11/1.56 ( X1 = meet(join(X1,X1),X1) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.17.2.0','0.24.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1','L')]).
% 1.11/1.56 cnf('0.26.1.0',plain,
% 1.11/1.56 ( X1 = meet(join(X1,X1),X1) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.26.0.0']),
% 1.11/1.56 [weight('<41,24,17,[0,0,0,1]>')]).
% 1.11/1.56 cnf('0.26.2.0',plain,
% 1.11/1.56 ( meet(join(X1,X1),X1) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_26]).
% 1.11/1.56 cnf('0.27.0.0',plain,
% 1.11/1.56 ( join(X1,X1) = join(join(X1,join(X1,X1)),join(X1,X1)) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.22.2.0','0.26.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.1','L')]).
% 1.11/1.56 cnf('0.27.0.1',plain,
% 1.11/1.56 ( join(X1,X1) = join(X1,join(X1,X1)) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.27.0.0','0.25.2.0',theory(equality)]),
% 1.11/1.56 [pos('R.1','L')]).
% 1.11/1.56 cnf('0.27.0.2',plain,
% 1.11/1.56 ( join(X1,X1) = X1 ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.27.0.1','0.25.2.0',theory(equality)]),
% 1.11/1.56 [pos('R','L')]).
% 1.11/1.56 cnf('0.27.1.0',plain,
% 1.11/1.56 ( join(X1,X1) = X1 ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.27.0.2']),
% 1.11/1.56 [weight('<19,26,22,[0,0,0,2]>')]).
% 1.11/1.56 cnf('0.27.2.0',plain,
% 1.11/1.56 ( join(X1,X1) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 1.11/1.56 [u,rule_27]).
% 1.11/1.56 cnf('0.28.0.0',plain,
% 1.11/1.56 ( join(meet(X1,X1),meet(X2,join(X1,X1))) = X1 ),
% 1.11/1.56 inference(interreduction_right,[status(thm)],['0.18.2.0'])).
% 1.11/1.56 cnf('0.28.0.1',plain,
% 1.11/1.56 ( join(X1,meet(X2,join(X1,X1))) = X1 ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.28.0.0','0.24.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1','L')]).
% 1.11/1.56 cnf('0.28.1.0',plain,
% 1.11/1.56 ( join(X1,meet(X2,join(X1,X1))) = X1 ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.28.0.1']),
% 1.11/1.56 [weight('<71,18,24,[0,0,0,0]>')]).
% 1.11/1.56 cnf('0.28.1.1',plain,
% 1.11/1.56 ( join(X1,meet(X2,X1)) = X1 ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.28.1.0','0.27.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.2.2','L')]).
% 1.11/1.56 cnf('0.28.2.0',plain,
% 1.11/1.56 ( join(X1,meet(X2,X1)) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.28.1.1',theory(equality)]),
% 1.11/1.56 [u,rule_28]).
% 1.11/1.56 cnf('0.29.0.0',plain,
% 1.11/1.56 ( X1 = meet(meet(X1,join(X2,X1)),X1) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.17.2.0','0.27.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.1','L')]).
% 1.11/1.56 cnf('0.29.1.0',plain,
% 1.11/1.56 ( X1 = meet(meet(X1,join(X2,X1)),X1) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.29.0.0']),
% 1.11/1.56 [weight('<71,27,17,[0,0,0,2]>')]).
% 1.11/1.56 cnf('0.29.2.0',plain,
% 1.11/1.56 ( meet(meet(X1,join(X2,X1)),X1) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_29]).
% 1.11/1.56 cnf('0.30.0.0',plain,
% 1.11/1.56 ( X1 = join(meet(X1,meet(X2,X1)),meet(X1,X1)) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.5.2.0','0.28.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.2.2','L')]).
% 1.11/1.56 cnf('0.30.0.1',plain,
% 1.11/1.56 ( X1 = join(meet(X1,meet(X2,X1)),X1) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.30.0.0','0.24.2.0',theory(equality)]),
% 1.11/1.56 [pos('R.2','L')]).
% 1.11/1.56 cnf('0.30.1.0',plain,
% 1.11/1.56 ( X1 = join(meet(X1,meet(X2,X1)),X1) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.30.0.1']),
% 1.11/1.56 [weight('<71,28,5,[0,0,0,6]>')]).
% 1.11/1.56 cnf('0.30.2.0',plain,
% 1.11/1.56 ( join(meet(X1,meet(X2,X1)),X1) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_30]).
% 1.11/1.56 cnf('0.31.0.0',plain,
% 1.11/1.56 ( meet(X1,meet(X2,X1)) = join(meet(meet(X1,meet(X2,X1)),meet(X1,X1)),meet(meet(X1,meet(X2,X1)),X1)) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.6.2.0','0.28.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.2.2','L')]).
% 1.11/1.56 cnf('0.31.0.1',plain,
% 1.11/1.56 ( meet(X1,meet(X2,X1)) = join(meet(meet(X1,meet(X2,X1)),X1),meet(meet(X1,meet(X2,X1)),X1)) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.31.0.0','0.24.2.0',theory(equality)]),
% 1.11/1.56 [pos('R.1.2','L')]).
% 1.11/1.56 cnf('0.31.0.2',plain,
% 1.11/1.56 ( meet(X1,meet(X2,X1)) = meet(meet(X1,meet(X2,X1)),X1) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.31.0.1','0.27.2.0',theory(equality)]),
% 1.11/1.56 [pos('R','L')]).
% 1.11/1.56 cnf('0.31.1.0',plain,
% 1.11/1.56 ( meet(X1,meet(X2,X1)) = meet(meet(X1,meet(X2,X1)),X1) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.31.0.2']),
% 1.11/1.56 [weight('<103,28,6,[0,0,0,7]>')]).
% 1.11/1.56 cnf('0.31.2.0',plain,
% 1.11/1.56 ( meet(meet(X1,meet(X2,X1)),X1) = meet(X1,meet(X2,X1)) ),
% 1.11/1.56 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_31]).
% 1.11/1.56 cnf('0.36.0.0',plain,
% 1.11/1.56 ( meet(X1,X2) = meet(meet(X2,meet(X1,X2)),meet(X1,X2)) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.21.2.0','0.16.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.1','L')]).
% 1.11/1.56 cnf('0.36.1.0',plain,
% 1.11/1.56 ( meet(X1,X2) = meet(meet(X2,meet(X1,X2)),meet(X1,X2)) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.36.0.0']),
% 1.11/1.56 [weight('<129,21,16,[1,0,0,2]>')]).
% 1.11/1.56 cnf('0.36.2.0',plain,
% 1.11/1.56 ( meet(meet(X1,meet(X2,X1)),meet(X2,X1)) = meet(X2,X1) ),
% 1.11/1.56 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_36]).
% 1.11/1.56 cnf('0.37.0.0',plain,
% 1.11/1.56 ( meet(X1,meet(X2,X1)) = join(join(meet(X2,X1),meet(X1,meet(X2,X1))),meet(X1,meet(X2,X1))) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.22.2.0','0.36.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.1','L')]).
% 1.11/1.56 cnf('0.37.0.1',plain,
% 1.11/1.56 ( meet(X1,meet(X2,X1)) = join(meet(X2,X1),meet(X1,meet(X2,X1))) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.37.0.0','0.28.2.0',theory(equality)]),
% 1.11/1.56 [pos('R.1','L')]).
% 1.11/1.56 cnf('0.37.0.2',plain,
% 1.11/1.56 ( meet(X1,meet(X2,X1)) = meet(X2,X1) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.37.0.1','0.28.2.0',theory(equality)]),
% 1.11/1.56 [pos('R','L')]).
% 1.11/1.56 cnf('0.37.1.0',plain,
% 1.11/1.56 ( meet(X1,meet(X2,X1)) = meet(X2,X1) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.37.0.2']),
% 1.11/1.56 [weight('<53,36,22,[0,0,0,2]>')]).
% 1.11/1.56 cnf('0.37.2.0',plain,
% 1.11/1.56 ( meet(X1,meet(X2,X1)) = meet(X2,X1) ),
% 1.11/1.56 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 1.11/1.56 [u,rule_37]).
% 1.11/1.56 cnf('0.38.0.0',plain,
% 1.11/1.56 ( join(meet(X1,meet(X2,X1)),X1) = X1 ),
% 1.11/1.56 inference(interreduction_right,[status(thm)],['0.30.2.0'])).
% 1.11/1.56 cnf('0.38.0.1',plain,
% 1.11/1.56 ( join(meet(X2,X1),X1) = X1 ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.38.0.0','0.37.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1','L')]).
% 1.11/1.56 cnf('0.38.1.0',plain,
% 1.11/1.56 ( join(meet(X2,X1),X1) = X1 ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.38.0.1']),
% 1.11/1.56 [weight('<41,30,37,[0,0,0,0]>')]).
% 1.11/1.56 cnf('0.38.2.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),X2) = X2 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 1.11/1.56 [u,rule_38]).
% 1.11/1.56 cnf('0.39.0.0',plain,
% 1.11/1.56 ( meet(meet(X1,meet(X2,X1)),X1) = meet(X1,meet(X2,X1)) ),
% 1.11/1.56 inference(interreduction_right,[status(thm)],['0.31.2.0'])).
% 1.11/1.56 cnf('0.39.0.1',plain,
% 1.11/1.56 ( meet(meet(X2,X1),X1) = meet(X1,meet(X2,X1)) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.39.0.0','0.37.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1','L')]).
% 1.11/1.56 cnf('0.39.0.2',plain,
% 1.11/1.56 ( meet(meet(X2,X1),X1) = meet(X2,X1) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.39.0.1','0.37.2.0',theory(equality)]),
% 1.11/1.56 [pos('R','L')]).
% 1.11/1.56 cnf('0.39.1.0',plain,
% 1.11/1.56 ( meet(meet(X2,X1),X1) = meet(X2,X1) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.39.0.2']),
% 1.11/1.56 [weight('<53,31,37,[0,0,0,0]>')]).
% 1.11/1.56 cnf('0.39.2.0',plain,
% 1.11/1.56 ( meet(meet(X1,X2),X2) = meet(X1,X2) ),
% 1.11/1.56 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 1.11/1.56 [u,rule_39]).
% 1.11/1.56 cnf('0.40.0.0',plain,
% 1.11/1.56 ( meet(meet(join(X1,X2),X1),X1) = X1 ),
% 1.11/1.56 inference(interreduction_right,[status(thm)],['0.21.2.0'])).
% 1.11/1.56 cnf('0.40.0.1',plain,
% 1.11/1.56 ( meet(join(X1,X2),X1) = X1 ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.40.0.0','0.39.2.0',theory(equality)]),
% 1.11/1.56 [pos('L','L')]).
% 1.11/1.56 cnf('0.40.1.0',plain,
% 1.11/1.56 ( meet(join(X1,X2),X1) = X1 ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.40.0.1']),
% 1.11/1.56 [weight('<41,21,39,[0,0,0,0]>')]).
% 1.11/1.56 cnf('0.40.2.0',plain,
% 1.11/1.56 ( meet(join(X1,X2),X1) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 1.11/1.56 [u,rule_40]).
% 1.11/1.56 cnf('0.42.0.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),X1) = meet(X1,join(meet(X1,X2),X1)) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.40.2.0','0.22.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1','L')]).
% 1.11/1.56 cnf('0.42.1.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),X1) = meet(X1,join(meet(X1,X2),X1)) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.42.0.0']),
% 1.11/1.56 [weight('<103,40,22,[1,0,0,1]>')]).
% 1.11/1.56 cnf('0.42.2.0',plain,
% 1.11/1.56 ( meet(X1,join(meet(X1,X2),X1)) = join(meet(X1,X2),X1) ),
% 1.11/1.56 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_42]).
% 1.11/1.56 cnf('0.43.0.0',plain,
% 1.11/1.56 ( X1 = meet(join(meet(X1,X2),X1),X1) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.29.2.0','0.42.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1','L')]).
% 1.11/1.56 cnf('0.43.1.0',plain,
% 1.11/1.56 ( X1 = meet(join(meet(X1,X2),X1),X1) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.43.0.0']),
% 1.11/1.56 [weight('<71,42,29,[0,0,0,1]>')]).
% 1.11/1.56 cnf('0.43.2.0',plain,
% 1.11/1.56 ( meet(join(meet(X1,X2),X1),X1) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_43]).
% 1.11/1.56 cnf('0.44.0.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),X1) = join(X1,meet(join(meet(X1,X2),X1),join(join(meet(X1,X2),X1),X1))) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.5.2.0','0.43.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1','L')]).
% 1.11/1.56 cnf('0.44.0.1',plain,
% 1.11/1.56 ( join(meet(X1,X2),X1) = join(X1,meet(join(meet(X1,X2),X1),X1)) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.44.0.0','0.22.2.0',theory(equality)]),
% 1.11/1.56 [pos('R.2.2','L')]).
% 1.11/1.56 cnf('0.44.0.2',plain,
% 1.11/1.56 ( join(meet(X1,X2),X1) = join(X1,X1) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.44.0.1','0.43.2.0',theory(equality)]),
% 1.11/1.56 [pos('R.2','L')]).
% 1.11/1.56 cnf('0.44.0.3',plain,
% 1.11/1.56 ( join(meet(X1,X2),X1) = X1 ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.44.0.2','0.27.2.0',theory(equality)]),
% 1.11/1.56 [pos('R','L')]).
% 1.11/1.56 cnf('0.44.1.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),X1) = X1 ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.44.0.3']),
% 1.11/1.56 [weight('<41,43,5,[0,0,0,1]>')]).
% 1.11/1.56 cnf('0.44.2.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),X1) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 1.11/1.56 [u,rule_44]).
% 1.11/1.56 cnf('0.45.0.0',plain,
% 1.11/1.56 ( meet(X1,X2) = join(meet(meet(X1,X2),X1),meet(meet(X1,X2),X1)) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.5.2.0','0.44.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.2.2','L')]).
% 1.11/1.56 cnf('0.45.0.1',plain,
% 1.11/1.56 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.45.0.0','0.27.2.0',theory(equality)]),
% 1.11/1.56 [pos('R','L')]).
% 1.11/1.56 cnf('0.45.1.0',plain,
% 1.11/1.56 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.45.0.1']),
% 1.11/1.56 [weight('<53,44,5,[0,0,0,6]>')]).
% 1.11/1.56 cnf('0.45.2.0',plain,
% 1.11/1.56 ( meet(meet(X1,X2),X1) = meet(X1,X2) ),
% 1.11/1.56 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_45]).
% 1.11/1.56 cnf('0.46.0.0',plain,
% 1.11/1.56 ( meet(meet(X1,join(X2,X1)),X1) = X1 ),
% 1.11/1.56 inference(interreduction_right,[status(thm)],['0.29.2.0'])).
% 1.11/1.56 cnf('0.46.0.1',plain,
% 1.11/1.56 ( meet(X1,join(X2,X1)) = X1 ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.46.0.0','0.45.2.0',theory(equality)]),
% 1.11/1.56 [pos('L','L')]).
% 1.11/1.56 cnf('0.46.1.0',plain,
% 1.11/1.56 ( meet(X1,join(X2,X1)) = X1 ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.46.0.1']),
% 1.11/1.56 [weight('<41,29,45,[0,0,0,0]>')]).
% 1.11/1.56 cnf('0.46.2.0',plain,
% 1.11/1.56 ( meet(X1,join(X2,X1)) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 1.11/1.56 [u,rule_46]).
% 1.11/1.56 cnf('0.47.0.0',plain,
% 1.11/1.56 ( X1 = join(X1,meet(X1,X2)) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.28.2.0','0.45.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.2','L')]).
% 1.11/1.56 cnf('0.47.1.0',plain,
% 1.11/1.56 ( X1 = join(X1,meet(X1,X2)) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.47.0.0']),
% 1.11/1.56 [weight('<41,45,28,[0,0,0,2]>')]).
% 1.11/1.56 cnf('0.47.2.0',plain,
% 1.11/1.56 ( join(X1,meet(X1,X2)) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_47]).
% 1.11/1.56 cnf('0.48.0.0',plain,
% 1.11/1.56 ( meet(join(X1,X2),X1) = meet(X1,join(X1,X2)) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.45.2.0','0.40.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1','L')]).
% 1.11/1.56 cnf('0.48.0.1',plain,
% 1.11/1.56 ( X1 = meet(X1,join(X1,X2)) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.48.0.0','0.40.2.0',theory(equality)]),
% 1.11/1.56 [pos('L','L')]).
% 1.11/1.56 cnf('0.48.1.0',plain,
% 1.11/1.56 ( X1 = meet(X1,join(X1,X2)) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.48.0.1']),
% 1.11/1.56 [weight('<41,45,40,[1,0,0,1]>')]).
% 1.11/1.56 cnf('0.48.2.0',plain,
% 1.11/1.56 ( meet(X1,join(X1,X2)) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_48]).
% 1.11/1.56 cnf('0.52.0.0',plain,
% 1.11/1.56 ( join(X1,X2) = join(X2,join(X1,X2)) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.38.2.0','0.46.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1','L')]).
% 1.11/1.56 cnf('0.52.1.0',plain,
% 1.11/1.56 ( join(X1,X2) = join(X2,join(X1,X2)) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.52.0.0']),
% 1.11/1.56 [weight('<53,46,38,[0,0,0,1]>')]).
% 1.11/1.56 cnf('0.52.2.0',plain,
% 1.11/1.56 ( join(X1,join(X2,X1)) = join(X2,X1) ),
% 1.11/1.56 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_52]).
% 1.11/1.56 cnf('0.53.0.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),meet(X3,X1)) = meet(meet(X1,join(X4,join(meet(X1,X2),meet(X3,X1)))),join(meet(X1,X2),meet(X3,X1))) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.17.2.0','0.20.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.1','L')]).
% 1.11/1.56 cnf('0.53.1.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),meet(X3,X1)) = meet(meet(X1,join(X4,join(meet(X1,X2),meet(X3,X1)))),join(meet(X1,X2),meet(X3,X1))) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.53.0.0']),
% 1.11/1.56 [weight('<?,20,17,[0,0,0,2]>')]).
% 1.11/1.56 cnf('0.53.2.0',plain,
% 1.11/1.56 ( meet(meet(X1,join(X2,join(meet(X1,X3),meet(X4,X1)))),join(meet(X1,X3),meet(X4,X1))) = join(meet(X1,X3),meet(X4,X1)) ),
% 1.11/1.56 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_53]).
% 1.11/1.56 cnf('0.54.0.0',plain,
% 1.11/1.56 ( join(X1,X2) = join(join(X1,X2),X1) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.47.2.0','0.40.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.2','L')]).
% 1.11/1.56 cnf('0.54.1.0',plain,
% 1.11/1.56 ( join(X1,X2) = join(join(X1,X2),X1) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.54.0.0']),
% 1.11/1.56 [weight('<53,47,40,[1,0,0,2]>')]).
% 1.11/1.56 cnf('0.54.2.0',plain,
% 1.11/1.56 ( join(join(X1,X2),X1) = join(X1,X2) ),
% 1.11/1.56 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_54]).
% 1.11/1.56 cnf('0.55.0.0',plain,
% 1.11/1.56 ( X1 = join(join(meet(X2,X1),meet(X3,X1)),X1) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.20.2.0','0.37.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.1','L')]).
% 1.11/1.56 cnf('0.55.1.0',plain,
% 1.11/1.56 ( X1 = join(join(meet(X2,X1),meet(X3,X1)),X1) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.55.0.0']),
% 1.11/1.56 [weight('<109,37,20,[0,0,0,2]>')]).
% 1.11/1.56 cnf('0.55.2.0',plain,
% 1.11/1.56 ( join(join(meet(X1,X2),meet(X3,X2)),X2) = X2 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_55]).
% 1.11/1.56 cnf('0.61.0.0',plain,
% 1.11/1.56 ( X1 = join(join(meet(X2,X1),meet(X1,X3)),X1) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.55.2.0','0.45.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.2','L')]).
% 1.11/1.56 cnf('0.61.1.0',plain,
% 1.11/1.56 ( X1 = join(join(meet(X2,X1),meet(X1,X3)),X1) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.61.0.0']),
% 1.11/1.56 [weight('<109,55,45,[1,0,0,5]>')]).
% 1.11/1.56 cnf('0.61.2.0',plain,
% 1.11/1.56 ( join(join(meet(X1,X2),meet(X2,X3)),X2) = X2 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_61]).
% 1.11/1.56 cnf('0.67.0.0',plain,
% 1.11/1.56 ( join(join(meet(X1,X2),meet(X2,X3)),X2) = join(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.54.2.0','0.61.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1','L')]).
% 1.11/1.56 cnf('0.67.0.1',plain,
% 1.11/1.56 ( X2 = join(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.67.0.0','0.61.2.0',theory(equality)]),
% 1.11/1.56 [pos('L','L')]).
% 1.11/1.56 cnf('0.67.1.0',plain,
% 1.11/1.56 ( X2 = join(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.67.0.1']),
% 1.11/1.56 [weight('<109,61,54,[0,0,0,1]>')]).
% 1.11/1.56 cnf('0.67.2.0',plain,
% 1.11/1.56 ( join(X1,join(meet(X2,X1),meet(X1,X3))) = X1 ),
% 1.11/1.56 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 1.11/1.56 [x,rule_67]).
% 1.11/1.56 cnf('0.68.0.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),meet(X2,X1)) = meet(meet(X1,X2),join(meet(X1,X2),meet(X2,X1))) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.53.2.0','0.67.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.1.2','L')]).
% 1.11/1.56 cnf('0.68.0.1',plain,
% 1.11/1.56 ( join(meet(X1,X2),meet(X2,X1)) = meet(X1,X2) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.68.0.0','0.48.2.0',theory(equality)]),
% 1.11/1.56 [pos('R','L')]).
% 1.11/1.56 cnf('0.68.1.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),meet(X2,X1)) = meet(X1,X2) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.68.0.1']),
% 1.11/1.56 [weight('<87,67,53,[0,0,0,3]>')]).
% 1.11/1.56 cnf('0.68.2.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),meet(X2,X1)) = meet(X1,X2) ),
% 1.11/1.56 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 1.11/1.56 [u,rule_68]).
% 1.11/1.56 cnf('0.69.0.0',plain,
% 1.11/1.56 ( join(meet(X1,X2),meet(X2,X1)) = join(meet(X2,X1),meet(X1,X2)) ),
% 1.11/1.56 inference(cp,[status(thm)],['0.52.2.0','0.68.2.0',theory(equality)]),
% 1.11/1.56 [pos('L.2','L')]).
% 1.11/1.56 cnf('0.69.0.1',plain,
% 1.11/1.56 ( meet(X1,X2) = join(meet(X2,X1),meet(X1,X2)) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.69.0.0','0.68.2.0',theory(equality)]),
% 1.11/1.56 [pos('L','L')]).
% 1.11/1.56 cnf('0.69.0.2',plain,
% 1.11/1.56 ( meet(X1,X2) = meet(X2,X1) ),
% 1.11/1.56 inference(reduction,[status(thm)],['0.69.0.1','0.68.2.0',theory(equality)]),
% 1.11/1.56 [pos('R','L')]).
% 1.11/1.56 cnf('0.69.1.0',plain,
% 1.11/1.56 ( meet(X1,X2) = meet(X2,X1) ),
% 1.11/1.56 inference(weigh,[status(thm)],['0.69.0.2']),
% 1.11/1.56 [weight('<48,68,52,[0,0,0,2]>')]).
% 1.11/1.56 cnf('0.69.2.0',plain,
% 1.11/1.56 ( meet(X1,X2) = meet(X2,X1) ),
% 1.11/1.56 inference(activate,[status(thm)],['0.69.1.0']),
% 1.11/1.56 [equation_1]).
% 1.11/1.56 cnf('1.0.0.0',conjecture,
% 1.11/1.56 ( meet(b,a) = meet(a,b) ),
% 1.11/1.56 file('/tmp/WALDMEISTER_29685_n007',conjecture_1)).
% 1.11/1.56 cnf('1.0.0.1',plain,
% 1.11/1.56 ( meet(a,b) = meet(a,b) ),
% 1.11/1.56 inference(reduction,[status(thm)],['1.0.0.0','0.69.2.0',theory(equality)]),
% 1.11/1.56 [pos('L','L')]).
% 1.11/1.56 cnf('1.0.0.2',plain,
% 1.11/1.56 ( $true ),
% 1.11/1.56 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 1.11/1.56 [conjecture_1]).
% 1.11/1.56
% 1.11/1.56 Proved Goals:
% 1.11/1.56 No. 1: meet(b,a) ?= meet(a,b) joined, current: meet(a,b) = meet(a,b)
% 1.11/1.56 1 goal was specified, which was proved.
% 1.11/1.56 % SZS output end CNFRefutation
% 1.11/1.56 #END OF PROOF
% 1.11/1.56
% 1.11/1.56 Problem WALDMEISTER_29685_n007
% 1.11/1.56 CPs.gen 3174
% 1.11/1.56 CPs.reexp 0
% 1.11/1.56 Select 129
% 1.11/1.56 R 68
% 1.11/1.56 E 1
% 1.11/1.56 vsize 8.2M
% 1.11/1.56 rss 5.5M
% 1.11/1.56 process.time 0.597s
% 1.11/1.56 wallclock.time 0.597s
% 1.11/1.56 status S
% 1.11/1.56
% 1.11/1.56
% 1.11/1.56 Waldmeister states: Goal proved.
% 1.11/1.56 % SZS status Unsatisfiable
%------------------------------------------------------------------------------