TSTP Solution File: LAT087-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT087-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.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 07:15:05 EDT 2022
% Result : Unsatisfiable 1.56s 1.94s
% Output : CNFRefutation 1.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT087-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 28 20:23:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.60/1.01 ********************************************************************************
% 0.60/1.01 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/1.01 * |/ | \/ | *
% 0.60/1.01 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/1.01 * A. Jaeger and B. Loechner | | *
% 0.60/1.01 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/1.01 ********************************************************************************
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 Goals:
% 0.60/1.01 ------
% 0.60/1.01
% 0.60/1.01 ( 1) join(a,meet(a,b)) ?=? a
% 0.60/1.01
% 0.60/1.01 Detected structure: Orkus
% 0.60/1.01 ********************************************************************************
% 0.60/1.01 ****************************** COMPLETION - PROOF ******************************
% 0.60/1.01 ********************************************************************************
% 0.60/1.01
% 1.56/1.94 joined goal: 1 join(a,meet(a,b)) ?= a to a
% 1.56/1.94 goal joined
% 1.56/1.94 % SZS status Unsatisfiable
% 1.56/1.94 #START OF PROOF
% 1.56/1.94 % SZS output start CNFRefutation
% 1.56/1.94 cnf('0.1.0.0',axiom,
% 1.56/1.94 ( X1 = join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X3),meet(join(meet(X2,join(join(meet(X4,X1),meet(X1,X5)),X1)),meet(join(meet(X1,meet(meet(join(X4,join(X1,X5)),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X4,join(X1,X5)),join(X6,X1)),X1)))),join(X2,join(join(meet(X4,X1),meet(X1,X5)),X1)))),join(join(meet(X2,X1),meet(X1,join(X2,X1))),X3))) ),
% 1.56/1.94 file('/tmp/WALDMEISTER_15122_n020')).
% 1.56/1.94 cnf('0.1.1.0',plain,
% 1.56/1.94 ( X1 = join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X3),meet(join(meet(X2,join(join(meet(X4,X1),meet(X1,X5)),X1)),meet(join(meet(X1,meet(meet(join(X4,join(X1,X5)),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X4,join(X1,X5)),join(X6,X1)),X1)))),join(X2,join(join(meet(X4,X1),meet(X1,X5)),X1)))),join(join(meet(X2,X1),meet(X1,join(X2,X1))),X3))) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.56/1.94 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.56/1.94 cnf('0.1.2.0',plain,
% 1.56/1.94 ( join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(join(meet(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)),meet(X7,join(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)))),join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_1]).
% 1.56/1.94 cnf('0.2.0.0',plain,
% 1.56/1.94 ( join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = join(meet(X3,X7),meet(join(meet(join(meet(X1,X3),meet(X3,join(X1,X3))),join(join(meet(X8,join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),X9)),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))),meet(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),meet(meet(join(X8,join(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),X9)),join(X10,join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))),meet(X11,join(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),meet(meet(join(X8,join(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),X9)),join(X10,join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))))),join(join(meet(X1,X3),meet(X3,join(X1,X3))),join(join(meet(X8,join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),X9)),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))))),join(join(meet(join(meet(X1,X3),meet(X3,join(X1,X3))),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),join(join(meet(X1,X3),meet(X3,join(X1,X3))),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3))))))),X7))) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1.1','L')]).
% 1.56/1.94 cnf('0.2.0.1',plain,
% 1.56/1.94 ( join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = join(meet(X3,X7),meet(join(meet(join(meet(X1,X3),meet(X3,join(X1,X3))),join(join(meet(X8,join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),X9)),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))),meet(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),meet(meet(join(X8,join(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),X9)),join(X10,join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))),meet(X11,join(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),meet(meet(join(X8,join(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),X9)),join(X10,join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))))),join(join(meet(X1,X3),meet(X3,join(X1,X3))),join(join(meet(X8,join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),X9)),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))))),join(X3,X7))) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.2.0.0','0.1.2.0',theory(equality)]),
% 1.56/1.94 [pos('R.2.2.1','L')]).
% 1.56/1.94 cnf('0.2.1.0',plain,
% 1.56/1.94 ( join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = join(meet(X3,X7),meet(join(meet(join(meet(X1,X3),meet(X3,join(X1,X3))),join(join(meet(X8,join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),X9)),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))),meet(join(meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),meet(meet(join(X8,join(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),X9)),join(X10,join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))),meet(X11,join(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),meet(meet(join(X8,join(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),X9)),join(X10,join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))))),join(join(meet(X1,X3),meet(X3,join(X1,X3))),join(join(meet(X8,join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),X9)),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))))),join(X3,X7))) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.2.0.1']),
% 1.56/1.94 [weight('<?,1,1,[0,0,0,2]>')]).
% 1.56/1.94 cnf('0.2.2.0',plain,
% 1.56/1.94 ( join(meet(X1,X2),meet(join(meet(join(meet(X3,X1),meet(X1,join(X3,X1))),join(join(meet(X4,join(meet(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)),meet(join(meet(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)),meet(X8,join(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)))),join(X3,join(join(meet(X5,X1),meet(X1,X6)),X1))))),meet(join(meet(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)),meet(join(meet(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)),meet(X8,join(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)))),join(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)))),X9)),join(meet(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)),meet(join(meet(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)),meet(X8,join(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)))),join(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)))))),meet(join(meet(join(meet(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)),meet(join(meet(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)),meet(X8,join(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)))),join(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)))),meet(meet(join(X4,join(join(meet(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)),meet(join(meet(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)),meet(X8,join(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)))),join(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)))),X9)),join(X10,join(meet(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)),meet(join(meet(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)),meet(X8,join(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)))),join(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)))))),join(meet(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)),meet(join(meet(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)),meet(X8,join(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)))),join(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)))))),meet(X11,join(join(meet(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)),meet(join(meet(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)),meet(X8,join(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)))),join(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)))),meet(meet(join(X4,join(join(meet(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)),meet(join(meet(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)),meet(X8,join(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)))),join(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)))),X9)),join(X10,join(meet(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)),meet(join(meet(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)),meet(X8,join(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)))),join(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)))))),join(meet(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)),meet(join(meet(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)),meet(X8,join(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)))),join(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)))))))),join(join(meet(X3,X1),meet(X1,join(X3,X1))),join(join(meet(X4,join(meet(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)),meet(join(meet(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)),meet(X8,join(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)))),join(X3,join(join(meet(X5,X1),meet(X1,X6)),X1))))),meet(join(meet(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)),meet(join(meet(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)),meet(X8,join(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)))),join(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)))),X9)),join(meet(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)),meet(join(meet(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)),meet(X8,join(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)))),join(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)))))))),join(X1,X2))) = join(meet(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)),meet(join(meet(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)),meet(X8,join(X1,meet(meet(join(X5,join(X1,X6)),join(X7,X1)),X1)))),join(X3,join(join(meet(X5,X1),meet(X1,X6)),X1)))) ),
% 1.56/1.94 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_2]).
% 1.56/1.94 cnf('0.3.0.0',plain,
% 1.56/1.94 ( X1 = join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X3),meet(join(meet(X2,join(join(meet(X4,X1),meet(X1,X5)),X1)),meet(join(meet(X6,join(join(meet(X7,X1),meet(X1,X8)),X1)),meet(join(meet(X1,meet(meet(join(X7,join(X1,X8)),join(X9,X1)),X1)),meet(X10,join(X1,meet(meet(join(X7,join(X1,X8)),join(X9,X1)),X1)))),join(X6,join(join(meet(X7,X1),meet(X1,X8)),X1)))),join(X2,join(join(meet(X4,X1),meet(X1,X5)),X1)))),join(join(meet(X2,X1),meet(X1,join(X2,X1))),X3))) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.2.1.2.1','L')]).
% 1.56/1.94 cnf('0.3.1.0',plain,
% 1.56/1.94 ( X1 = join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X3),meet(join(meet(X2,join(join(meet(X4,X1),meet(X1,X5)),X1)),meet(join(meet(X6,join(join(meet(X7,X1),meet(X1,X8)),X1)),meet(join(meet(X1,meet(meet(join(X7,join(X1,X8)),join(X9,X1)),X1)),meet(X10,join(X1,meet(meet(join(X7,join(X1,X8)),join(X9,X1)),X1)))),join(X6,join(join(meet(X7,X1),meet(X1,X8)),X1)))),join(X2,join(join(meet(X4,X1),meet(X1,X5)),X1)))),join(join(meet(X2,X1),meet(X1,join(X2,X1))),X3))) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.56/1.94 [weight('<10505,2,1,[0,0,0,26]>')]).
% 1.56/1.94 cnf('0.3.2.0',plain,
% 1.56/1.94 ( join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(join(meet(X6,join(join(meet(X7,X2),meet(X2,X8)),X2)),meet(join(meet(X2,meet(meet(join(X7,join(X2,X8)),join(X9,X2)),X2)),meet(X10,join(X2,meet(meet(join(X7,join(X2,X8)),join(X9,X2)),X2)))),join(X6,join(join(meet(X7,X2),meet(X2,X8)),X2)))),join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_3]).
% 1.56/1.94 cnf('0.4.0.0',plain,
% 1.56/1.94 ( 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))) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.2.1','L')]).
% 1.56/1.94 cnf('0.4.1.0',plain,
% 1.56/1.94 ( 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))) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.4.0.0']),
% 1.56/1.94 [weight('<3421,3,1,[1,0,0,13]>')]).
% 1.56/1.94 cnf('0.4.2.0',plain,
% 1.56/1.94 ( 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 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_4]).
% 1.56/1.94 cnf('0.5.0.0',plain,
% 1.56/1.94 ( 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))) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.4.2.0','0.4.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1.1','L')]).
% 1.56/1.94 cnf('0.5.0.1',plain,
% 1.56/1.94 ( X1 = join(meet(X1,X2),meet(X1,join(X1,X2))) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.5.0.0','0.4.2.0',theory(equality)]),
% 1.56/1.94 [pos('R.2.2.1','L')]).
% 1.56/1.94 cnf('0.5.1.0',plain,
% 1.56/1.94 ( X1 = join(meet(X1,X2),meet(X1,join(X1,X2))) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.5.0.1']),
% 1.56/1.94 [weight('<109,4,4,[0,0,0,2]>')]).
% 1.56/1.94 cnf('0.5.2.0',plain,
% 1.56/1.94 ( join(meet(X1,X2),meet(X1,join(X1,X2))) = X1 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_5]).
% 1.56/1.94 cnf('0.6.0.0',plain,
% 1.56/1.94 ( meet(X1,X2) = join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.2.2','L')]).
% 1.56/1.94 cnf('0.6.1.0',plain,
% 1.56/1.94 ( meet(X1,X2) = join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.6.0.0']),
% 1.56/1.94 [weight('<303,5,5,[0,0,0,6]>')]).
% 1.56/1.94 cnf('0.6.2.0',plain,
% 1.56/1.94 ( join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) = meet(X1,X2) ),
% 1.56/1.94 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_6]).
% 1.56/1.94 cnf('0.8.0.0',plain,
% 1.56/1.94 ( X1 = join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X3),meet(join(meet(X2,join(join(meet(X4,X1),meet(X1,X5)),X1)),meet(X1,join(X2,join(join(meet(X4,X1),meet(X1,X5)),X1)))),join(join(meet(X2,X1),meet(X1,join(X2,X1))),X3))) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.2.1.2.1','L')]).
% 1.56/1.94 cnf('0.8.1.0',plain,
% 1.56/1.94 ( X1 = join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X3),meet(join(meet(X2,join(join(meet(X4,X1),meet(X1,X5)),X1)),meet(X1,join(X2,join(join(meet(X4,X1),meet(X1,X5)),X1)))),join(join(meet(X2,X1),meet(X1,join(X2,X1))),X3))) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.8.0.0']),
% 1.56/1.94 [weight('<2549,5,1,[0,0,0,26]>')]).
% 1.56/1.94 cnf('0.8.2.0',plain,
% 1.56/1.94 ( join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(X2,join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_8]).
% 1.56/1.94 cnf('0.9.0.0',plain,
% 1.56/1.94 ( join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = join(meet(X3,X5),meet(join(meet(join(meet(X1,X3),meet(X3,join(X1,X3))),join(join(meet(X6,join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),X7)),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),join(join(meet(X1,X3),meet(X3,join(X1,X3))),join(join(meet(X6,join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),X7)),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))))),join(join(meet(join(meet(X1,X3),meet(X3,join(X1,X3))),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),join(join(meet(X1,X3),meet(X3,join(X1,X3))),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3))))))),X5))) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.8.2.0','0.8.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1.1','L')]).
% 1.56/1.94 cnf('0.9.0.1',plain,
% 1.56/1.94 ( join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = join(meet(X3,X5),meet(X3,join(join(meet(join(meet(X1,X3),meet(X3,join(X1,X3))),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),join(join(meet(X1,X3),meet(X3,join(X1,X3))),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3))))))),X5))) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.9.0.0','0.8.2.0',theory(equality)]),
% 1.56/1.94 [pos('R.2.1','L')]).
% 1.56/1.94 cnf('0.9.0.2',plain,
% 1.56/1.94 ( join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = join(meet(X3,X5),meet(X3,join(X3,X5))) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.9.0.1','0.8.2.0',theory(equality)]),
% 1.56/1.94 [pos('R.2.2.1','L')]).
% 1.56/1.94 cnf('0.9.0.3',plain,
% 1.56/1.94 ( join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = X3 ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.9.0.2','0.5.2.0',theory(equality)]),
% 1.56/1.94 [pos('R','L')]).
% 1.56/1.94 cnf('0.9.1.0',plain,
% 1.56/1.94 ( join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = X3 ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.9.0.3']),
% 1.56/1.94 [weight('<701,8,8,[0,0,0,2]>')]).
% 1.56/1.94 cnf('0.9.2.0',plain,
% 1.56/1.94 ( join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = X3 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 1.56/1.94 [u,rule_9]).
% 1.56/1.94 cnf('0.10.0.0',plain,
% 1.56/1.94 ( X1 = join(meet(X2,join(X1,X1)),meet(X1,join(X2,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))),X1)))) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1.2.1','L')]).
% 1.56/1.94 cnf('0.10.0.1',plain,
% 1.56/1.94 ( X1 = join(meet(X2,join(X1,X1)),meet(X1,join(X2,join(X1,X1)))) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.10.0.0','0.4.2.0',theory(equality)]),
% 1.56/1.94 [pos('R.2.2.2.1','L')]).
% 1.56/1.94 cnf('0.10.1.0',plain,
% 1.56/1.94 ( X1 = join(meet(X2,join(X1,X1)),meet(X1,join(X2,join(X1,X1)))) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.10.0.1']),
% 1.56/1.94 [weight('<209,9,4,[1,0,0,4]>')]).
% 1.56/1.94 cnf('0.10.2.0',plain,
% 1.56/1.94 ( join(meet(X1,join(X2,X2)),meet(X2,join(X1,join(X2,X2)))) = X2 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_10]).
% 1.56/1.94 cnf('0.12.0.0',plain,
% 1.56/1.94 ( join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(X2,join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2 ),
% 1.56/1.94 inference(interreduction_right,[status(thm)],['0.8.2.0'])).
% 1.56/1.94 cnf('0.12.0.1',plain,
% 1.56/1.94 ( 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 ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.12.0.0','0.9.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.2.1','L')]).
% 1.56/1.94 cnf('0.12.1.0',plain,
% 1.56/1.94 ( 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 ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.12.0.1']),
% 1.56/1.94 [weight('<701,8,9,[0,0,0,0]>')]).
% 1.56/1.94 cnf('0.12.2.0',plain,
% 1.56/1.94 ( 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 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 1.56/1.94 [u,rule_12]).
% 1.56/1.94 cnf('0.13.0.0',plain,
% 1.56/1.94 ( meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)) = join(meet(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),meet(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),X3)) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.5.2.0','0.9.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.2.2','L')]).
% 1.56/1.94 cnf('0.13.1.0',plain,
% 1.56/1.94 ( meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)) = join(meet(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),meet(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),X3)) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.13.0.0']),
% 1.56/1.94 [weight('<2039,9,5,[0,0,0,6]>')]).
% 1.56/1.94 cnf('0.13.2.0',plain,
% 1.56/1.94 ( join(meet(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),meet(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),X3)) = meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)) ),
% 1.56/1.94 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_13]).
% 1.56/1.94 cnf('0.17.0.0',plain,
% 1.56/1.94 ( join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = join(meet(X3,X7),meet(join(meet(join(meet(X1,X3),meet(X3,join(X1,X3))),join(join(meet(X8,join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),X9)),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),join(join(meet(X1,X3),meet(X3,join(X1,X3))),join(join(meet(X8,join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3))))),meet(join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),X9)),join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))))))),join(X3,X7))) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.2.2.0','0.5.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.2.1.2.1','L')]).
% 1.56/1.94 cnf('0.17.0.1',plain,
% 1.56/1.94 ( join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = join(meet(X3,X7),meet(X3,join(X3,X7))) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.17.0.0','0.1.2.0',theory(equality)]),
% 1.56/1.94 [pos('R.2.1','L')]).
% 1.56/1.94 cnf('0.17.0.2',plain,
% 1.56/1.94 ( join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = X3 ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.17.0.1','0.5.2.0',theory(equality)]),
% 1.56/1.94 [pos('R','L')]).
% 1.56/1.94 cnf('0.17.1.0',plain,
% 1.56/1.94 ( join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = X3 ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.17.0.2']),
% 1.56/1.94 [weight('<2969,5,2,[0,0,0,182]>')]).
% 1.56/1.94 cnf('0.17.2.0',plain,
% 1.56/1.94 ( join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = X3 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 1.56/1.94 [u,rule_17]).
% 1.56/1.94 cnf('0.18.0.0',plain,
% 1.56/1.94 ( X1 = join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.17.2.0','0.5.2.0',theory(equality)]),
% 1.56/1.94 [pos('L','L')]).
% 1.56/1.94 cnf('0.18.1.0',plain,
% 1.56/1.94 ( X1 = join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.18.0.0']),
% 1.56/1.94 [weight('<929,17,5,[1,0,0,0]>')]).
% 1.56/1.94 cnf('0.18.2.0',plain,
% 1.56/1.94 ( join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))) = X1 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_18]).
% 1.56/1.94 cnf('0.19.0.0',plain,
% 1.56/1.94 ( join(meet(X1,X2),meet(X2,join(X1,X2))) = X2 ),
% 1.56/1.94 inference(cp,[status(thm)],['0.18.2.0','0.12.2.0',theory(equality)]),
% 1.56/1.94 [pos('L','L')]).
% 1.56/1.94 cnf('0.19.1.0',plain,
% 1.56/1.94 ( join(meet(X1,X2),meet(X2,join(X1,X2))) = X2 ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.19.0.0']),
% 1.56/1.94 [weight('<109,18,12,[1,0,0,0]>')]).
% 1.56/1.94 cnf('0.19.2.0',plain,
% 1.56/1.94 ( join(meet(X1,X2),meet(X2,join(X1,X2))) = X2 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 1.56/1.94 [u,rule_19]).
% 1.56/1.94 cnf('0.20.0.0',plain,
% 1.56/1.94 ( meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2) = X2 ),
% 1.56/1.94 inference(cp,[status(thm)],['0.19.2.0','0.18.2.0',theory(equality)]),
% 1.56/1.94 [pos('L','L')]).
% 1.56/1.94 cnf('0.20.1.0',plain,
% 1.56/1.94 ( meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2) = X2 ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.20.0.0']),
% 1.56/1.94 [weight('<155,19,18,[1,0,0,0]>')]).
% 1.56/1.94 cnf('0.20.2.0',plain,
% 1.56/1.94 ( meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2) = X2 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 1.56/1.94 [u,rule_20]).
% 1.56/1.94 cnf('0.21.0.0',plain,
% 1.56/1.94 ( join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))) = X1 ),
% 1.56/1.94 inference(interreduction_right,[status(thm)],['0.18.2.0'])).
% 1.56/1.94 cnf('0.21.0.1',plain,
% 1.56/1.94 ( join(meet(X1,X1),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))) = X1 ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.21.0.0','0.20.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1.2','L')]).
% 1.56/1.94 cnf('0.21.0.2',plain,
% 1.56/1.94 ( join(meet(X1,X1),meet(X5,join(X1,X1))) = X1 ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.21.0.1','0.20.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.2.2.2','L')]).
% 1.56/1.94 cnf('0.21.1.0',plain,
% 1.56/1.94 ( join(meet(X1,X1),meet(X5,join(X1,X1))) = X1 ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.21.0.2']),
% 1.56/1.94 [weight('<109,18,20,[0,0,0,0]>')]).
% 1.56/1.94 cnf('0.21.2.0',plain,
% 1.56/1.94 ( join(meet(X1,X1),meet(X2,join(X1,X1))) = X1 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 1.56/1.94 [u,rule_21]).
% 1.56/1.94 cnf('0.22.0.0',plain,
% 1.56/1.94 ( join(X1,X1) = X1 ),
% 1.56/1.94 inference(cp,[status(thm)],['0.21.2.0','0.10.2.0',theory(equality)]),
% 1.56/1.94 [pos('L','L')]).
% 1.56/1.94 cnf('0.22.1.0',plain,
% 1.56/1.94 ( join(X1,X1) = X1 ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.22.0.0']),
% 1.56/1.94 [weight('<19,21,10,[1,0,0,0]>')]).
% 1.56/1.94 cnf('0.22.2.0',plain,
% 1.56/1.94 ( join(X1,X1) = X1 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 1.56/1.94 [u,rule_22]).
% 1.56/1.94 cnf('0.23.0.0',plain,
% 1.56/1.94 ( X1 = join(meet(X1,X1),meet(X1,X1)) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.5.2.0','0.22.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.2.2','L')]).
% 1.56/1.94 cnf('0.23.0.1',plain,
% 1.56/1.94 ( X1 = meet(X1,X1) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.23.0.0','0.22.2.0',theory(equality)]),
% 1.56/1.94 [pos('R','L')]).
% 1.56/1.94 cnf('0.23.1.0',plain,
% 1.56/1.94 ( X1 = meet(X1,X1) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.23.0.1']),
% 1.56/1.94 [weight('<19,22,5,[0,0,0,6]>')]).
% 1.56/1.94 cnf('0.23.2.0',plain,
% 1.56/1.94 ( meet(X1,X1) = X1 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_23]).
% 1.56/1.94 cnf('0.24.0.0',plain,
% 1.56/1.94 ( join(meet(X1,X1),meet(X2,join(X1,X1))) = X1 ),
% 1.56/1.94 inference(interreduction_right,[status(thm)],['0.21.2.0'])).
% 1.56/1.94 cnf('0.24.0.1',plain,
% 1.56/1.94 ( join(meet(X1,X1),meet(X2,X1)) = X1 ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.24.0.0','0.22.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.2.2','L')]).
% 1.56/1.94 cnf('0.24.1.0',plain,
% 1.56/1.94 ( join(meet(X1,X1),meet(X2,X1)) = X1 ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.24.0.1']),
% 1.56/1.94 [weight('<71,21,22,[0,0,0,0]>')]).
% 1.56/1.94 cnf('0.24.1.1',plain,
% 1.56/1.94 ( join(X1,meet(X2,X1)) = X1 ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.24.1.0','0.23.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1','L')]).
% 1.56/1.94 cnf('0.24.2.0',plain,
% 1.56/1.94 ( join(X1,meet(X2,X1)) = X1 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.24.1.1',theory(equality)]),
% 1.56/1.94 [u,rule_24]).
% 1.56/1.94 cnf('0.25.0.0',plain,
% 1.56/1.94 ( X1 = join(meet(X1,meet(X2,X1)),meet(X1,X1)) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.5.2.0','0.24.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.2.2','L')]).
% 1.56/1.94 cnf('0.25.0.1',plain,
% 1.56/1.94 ( X1 = join(meet(X1,meet(X2,X1)),X1) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.25.0.0','0.23.2.0',theory(equality)]),
% 1.56/1.94 [pos('R.2','L')]).
% 1.56/1.94 cnf('0.25.1.0',plain,
% 1.56/1.94 ( X1 = join(meet(X1,meet(X2,X1)),X1) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.25.0.1']),
% 1.56/1.94 [weight('<71,24,5,[0,0,0,6]>')]).
% 1.56/1.94 cnf('0.25.2.0',plain,
% 1.56/1.94 ( join(meet(X1,meet(X2,X1)),X1) = X1 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_25]).
% 1.56/1.94 cnf('0.26.0.0',plain,
% 1.56/1.94 ( meet(X1,meet(X2,X1)) = join(meet(meet(X1,meet(X2,X1)),meet(X1,X1)),meet(meet(X1,meet(X2,X1)),X1)) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.6.2.0','0.24.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1.2.2','L')]).
% 1.56/1.94 cnf('0.26.0.1',plain,
% 1.56/1.94 ( meet(X1,meet(X2,X1)) = join(meet(meet(X1,meet(X2,X1)),X1),meet(meet(X1,meet(X2,X1)),X1)) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.26.0.0','0.23.2.0',theory(equality)]),
% 1.56/1.94 [pos('R.1.2','L')]).
% 1.56/1.94 cnf('0.26.0.2',plain,
% 1.56/1.94 ( meet(X1,meet(X2,X1)) = meet(meet(X1,meet(X2,X1)),X1) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.26.0.1','0.22.2.0',theory(equality)]),
% 1.56/1.94 [pos('R','L')]).
% 1.56/1.94 cnf('0.26.1.0',plain,
% 1.56/1.94 ( meet(X1,meet(X2,X1)) = meet(meet(X1,meet(X2,X1)),X1) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.26.0.2']),
% 1.56/1.94 [weight('<103,24,6,[0,0,0,7]>')]).
% 1.56/1.94 cnf('0.26.2.0',plain,
% 1.56/1.94 ( meet(meet(X1,meet(X2,X1)),X1) = meet(X1,meet(X2,X1)) ),
% 1.56/1.94 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_26]).
% 1.56/1.94 cnf('0.28.0.0',plain,
% 1.56/1.94 ( X1 = meet(meet(join(X1,X2),join(X3,X1)),X1) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.20.2.0','0.22.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1.1','L')]).
% 1.56/1.94 cnf('0.28.1.0',plain,
% 1.56/1.94 ( X1 = meet(meet(join(X1,X2),join(X3,X1)),X1) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.28.0.0']),
% 1.56/1.94 [weight('<109,22,20,[0,0,0,2]>')]).
% 1.56/1.94 cnf('0.28.2.0',plain,
% 1.56/1.94 ( meet(meet(join(X1,X2),join(X3,X1)),X1) = X1 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_28]).
% 1.56/1.94 cnf('0.29.0.0',plain,
% 1.56/1.94 ( X1 = meet(meet(X1,join(X2,X1)),X1) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.28.2.0','0.22.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1.1','L')]).
% 1.56/1.94 cnf('0.29.1.0',plain,
% 1.56/1.94 ( X1 = meet(meet(X1,join(X2,X1)),X1) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.29.0.0']),
% 1.56/1.94 [weight('<71,28,22,[1,0,0,2]>')]).
% 1.56/1.94 cnf('0.29.2.0',plain,
% 1.56/1.94 ( meet(meet(X1,join(X2,X1)),X1) = X1 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_29]).
% 1.56/1.94 cnf('0.30.0.0',plain,
% 1.56/1.94 ( X1 = meet(meet(join(X1,X2),X1),X1) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.28.2.0','0.22.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1.2','L')]).
% 1.56/1.94 cnf('0.30.1.0',plain,
% 1.56/1.94 ( X1 = meet(meet(join(X1,X2),X1),X1) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.30.0.0']),
% 1.56/1.94 [weight('<71,28,22,[1,0,0,5]>')]).
% 1.56/1.94 cnf('0.30.2.0',plain,
% 1.56/1.94 ( meet(meet(join(X1,X2),X1),X1) = X1 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_30]).
% 1.56/1.94 cnf('0.32.0.0',plain,
% 1.56/1.94 ( X1 = meet(meet(join(X2,X1),join(X3,X1)),X1) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.20.2.0','0.22.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1.1.2','L')]).
% 1.56/1.94 cnf('0.32.1.0',plain,
% 1.56/1.94 ( X1 = meet(meet(join(X2,X1),join(X3,X1)),X1) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.32.0.0']),
% 1.56/1.94 [weight('<109,22,20,[0,0,0,4]>')]).
% 1.56/1.94 cnf('0.32.2.0',plain,
% 1.56/1.94 ( meet(meet(join(X1,X2),join(X3,X2)),X2) = X2 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_32]).
% 1.56/1.94 cnf('0.33.0.0',plain,
% 1.56/1.94 ( X1 = meet(join(X2,X1),X1) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.32.2.0','0.23.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1','L')]).
% 1.56/1.94 cnf('0.33.1.0',plain,
% 1.56/1.94 ( X1 = meet(join(X2,X1),X1) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.33.0.0']),
% 1.56/1.94 [weight('<41,32,23,[1,0,0,1]>')]).
% 1.56/1.94 cnf('0.33.2.0',plain,
% 1.56/1.94 ( meet(join(X1,X2),X2) = X2 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_33]).
% 1.56/1.94 cnf('0.34.0.0',plain,
% 1.56/1.94 ( meet(X1,X2) = meet(X2,meet(X1,X2)) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.33.2.0','0.24.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1','L')]).
% 1.56/1.94 cnf('0.34.1.0',plain,
% 1.56/1.94 ( meet(X1,X2) = meet(X2,meet(X1,X2)) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.34.0.0']),
% 1.56/1.94 [weight('<53,33,24,[1,0,0,1]>')]).
% 1.56/1.94 cnf('0.34.2.0',plain,
% 1.56/1.94 ( meet(X1,meet(X2,X1)) = meet(X2,X1) ),
% 1.56/1.94 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_34]).
% 1.56/1.94 cnf('0.35.0.0',plain,
% 1.56/1.94 ( join(meet(X1,meet(X2,X1)),X1) = X1 ),
% 1.56/1.94 inference(interreduction_right,[status(thm)],['0.25.2.0'])).
% 1.56/1.94 cnf('0.35.0.1',plain,
% 1.56/1.94 ( join(meet(X2,X1),X1) = X1 ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.35.0.0','0.34.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1','L')]).
% 1.56/1.94 cnf('0.35.1.0',plain,
% 1.56/1.94 ( join(meet(X2,X1),X1) = X1 ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.35.0.1']),
% 1.56/1.94 [weight('<41,25,34,[0,0,0,0]>')]).
% 1.56/1.94 cnf('0.35.2.0',plain,
% 1.56/1.94 ( join(meet(X1,X2),X2) = X2 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 1.56/1.94 [u,rule_35]).
% 1.56/1.94 cnf('0.36.0.0',plain,
% 1.56/1.94 ( meet(meet(X1,meet(X2,X1)),X1) = meet(X1,meet(X2,X1)) ),
% 1.56/1.94 inference(interreduction_right,[status(thm)],['0.26.2.0'])).
% 1.56/1.94 cnf('0.36.0.1',plain,
% 1.56/1.94 ( meet(meet(X2,X1),X1) = meet(X1,meet(X2,X1)) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.36.0.0','0.34.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1','L')]).
% 1.56/1.94 cnf('0.36.0.2',plain,
% 1.56/1.94 ( meet(meet(X2,X1),X1) = meet(X2,X1) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.36.0.1','0.34.2.0',theory(equality)]),
% 1.56/1.94 [pos('R','L')]).
% 1.56/1.94 cnf('0.36.1.0',plain,
% 1.56/1.94 ( meet(meet(X2,X1),X1) = meet(X2,X1) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.36.0.2']),
% 1.56/1.94 [weight('<53,26,34,[0,0,0,0]>')]).
% 1.56/1.94 cnf('0.36.2.0',plain,
% 1.56/1.94 ( meet(meet(X1,X2),X2) = meet(X1,X2) ),
% 1.56/1.94 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 1.56/1.94 [u,rule_36]).
% 1.56/1.94 cnf('0.37.0.0',plain,
% 1.56/1.94 ( meet(meet(join(X1,X2),X1),X1) = X1 ),
% 1.56/1.94 inference(interreduction_right,[status(thm)],['0.30.2.0'])).
% 1.56/1.94 cnf('0.37.0.1',plain,
% 1.56/1.94 ( meet(join(X1,X2),X1) = X1 ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.37.0.0','0.36.2.0',theory(equality)]),
% 1.56/1.94 [pos('L','L')]).
% 1.56/1.94 cnf('0.37.1.0',plain,
% 1.56/1.94 ( meet(join(X1,X2),X1) = X1 ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.37.0.1']),
% 1.56/1.94 [weight('<41,30,36,[0,0,0,0]>')]).
% 1.56/1.94 cnf('0.37.2.0',plain,
% 1.56/1.94 ( meet(join(X1,X2),X1) = X1 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 1.56/1.94 [u,rule_37]).
% 1.56/1.94 cnf('0.38.0.0',plain,
% 1.56/1.94 ( meet(X1,X2) = meet(X1,meet(X1,X2)) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.37.2.0','0.5.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1','L')]).
% 1.56/1.94 cnf('0.38.1.0',plain,
% 1.56/1.94 ( meet(X1,X2) = meet(X1,meet(X1,X2)) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.38.0.0']),
% 1.56/1.94 [weight('<53,37,5,[1,0,0,1]>')]).
% 1.56/1.94 cnf('0.38.2.0',plain,
% 1.56/1.94 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 1.56/1.94 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_38]).
% 1.56/1.94 cnf('0.39.0.0',plain,
% 1.56/1.94 ( X1 = meet(meet(join(X2,join(X1,X3)),X1),X1) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.20.2.0','0.22.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1.2','L')]).
% 1.56/1.94 cnf('0.39.1.0',plain,
% 1.56/1.94 ( X1 = meet(meet(join(X2,join(X1,X3)),X1),X1) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.39.0.0']),
% 1.56/1.94 [weight('<109,22,20,[0,0,0,7]>')]).
% 1.56/1.94 cnf('0.39.1.1',plain,
% 1.56/1.94 ( X1 = meet(join(X2,join(X1,X3)),X1) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.39.1.0','0.36.2.0',theory(equality)]),
% 1.56/1.94 [pos('R','L')]).
% 1.56/1.94 cnf('0.39.2.0',plain,
% 1.56/1.94 ( meet(join(X1,join(X2,X3)),X2) = X2 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.39.1.1',theory(equality)]),
% 1.56/1.94 [x,rule_39]).
% 1.56/1.94 cnf('0.40.0.0',plain,
% 1.56/1.94 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.39.2.0','0.5.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1.2','L')]).
% 1.56/1.94 cnf('0.40.1.0',plain,
% 1.56/1.94 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.40.0.0']),
% 1.56/1.94 [weight('<87,39,5,[1,0,0,3]>')]).
% 1.56/1.94 cnf('0.40.2.0',plain,
% 1.56/1.94 ( meet(join(X1,X2),meet(X2,X3)) = meet(X2,X3) ),
% 1.56/1.94 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_40]).
% 1.56/1.94 cnf('0.41.0.0',plain,
% 1.56/1.94 ( meet(join(X1,X2),X2) = meet(join(X3,join(X1,X2)),X2) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.40.2.0','0.33.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.2','L')]).
% 1.56/1.94 cnf('0.41.0.1',plain,
% 1.56/1.94 ( X2 = meet(join(X3,join(X1,X2)),X2) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.41.0.0','0.33.2.0',theory(equality)]),
% 1.56/1.94 [pos('L','L')]).
% 1.56/1.94 cnf('0.41.1.0',plain,
% 1.56/1.94 ( X2 = meet(join(X3,join(X1,X2)),X2) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.41.0.1']),
% 1.56/1.94 [weight('<71,40,33,[1,0,0,4]>')]).
% 1.56/1.94 cnf('0.41.2.0',plain,
% 1.56/1.94 ( meet(join(X1,join(X2,X3)),X3) = X3 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_41]).
% 1.56/1.94 cnf('0.45.0.0',plain,
% 1.56/1.94 ( X1 = join(X1,meet(X1,join(join(X2,X1),X1))) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.19.2.0','0.33.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1','L')]).
% 1.56/1.94 cnf('0.45.1.0',plain,
% 1.56/1.94 ( X1 = join(X1,meet(X1,join(join(X2,X1),X1))) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.45.0.0']),
% 1.56/1.94 [weight('<109,33,19,[0,0,0,1]>')]).
% 1.56/1.94 cnf('0.45.2.0',plain,
% 1.56/1.94 ( join(X1,meet(X1,join(join(X2,X1),X1))) = X1 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_45]).
% 1.56/1.94 cnf('0.46.0.0',plain,
% 1.56/1.94 ( meet(X1,meet(X1,join(join(X2,X1),X1))) = join(meet(meet(X1,meet(X1,join(join(X2,X1),X1))),meet(X1,X1)),meet(meet(X1,meet(X1,join(join(X2,X1),X1))),X1)) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.6.2.0','0.45.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1.2.2','L')]).
% 1.56/1.94 cnf('0.46.0.1',plain,
% 1.56/1.94 ( meet(X1,join(join(X2,X1),X1)) = join(meet(meet(X1,meet(X1,join(join(X2,X1),X1))),meet(X1,X1)),meet(meet(X1,meet(X1,join(join(X2,X1),X1))),X1)) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.46.0.0','0.38.2.0',theory(equality)]),
% 1.56/1.94 [pos('L','L')]).
% 1.56/1.94 cnf('0.46.0.2',plain,
% 1.56/1.94 ( meet(X1,join(join(X2,X1),X1)) = join(meet(meet(X1,join(join(X2,X1),X1)),meet(X1,X1)),meet(meet(X1,meet(X1,join(join(X2,X1),X1))),X1)) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.46.0.1','0.38.2.0',theory(equality)]),
% 1.56/1.94 [pos('R.1.1','L')]).
% 1.56/1.94 cnf('0.46.0.3',plain,
% 1.56/1.94 ( meet(X1,join(join(X2,X1),X1)) = join(meet(meet(X1,join(join(X2,X1),X1)),X1),meet(meet(X1,meet(X1,join(join(X2,X1),X1))),X1)) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.46.0.2','0.23.2.0',theory(equality)]),
% 1.56/1.94 [pos('R.1.2','L')]).
% 1.56/1.94 cnf('0.46.0.4',plain,
% 1.56/1.94 ( meet(X1,join(join(X2,X1),X1)) = join(X1,meet(meet(X1,meet(X1,join(join(X2,X1),X1))),X1)) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.46.0.3','0.29.2.0',theory(equality)]),
% 1.56/1.94 [pos('R.1','L')]).
% 1.56/1.94 cnf('0.46.0.5',plain,
% 1.56/1.94 ( meet(X1,join(join(X2,X1),X1)) = X1 ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.46.0.4','0.24.2.0',theory(equality)]),
% 1.56/1.94 [pos('R','L')]).
% 1.56/1.94 cnf('0.46.1.0',plain,
% 1.56/1.94 ( meet(X1,join(join(X2,X1),X1)) = X1 ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.46.0.5']),
% 1.56/1.94 [weight('<71,45,6,[0,0,0,7]>')]).
% 1.56/1.94 cnf('0.46.2.0',plain,
% 1.56/1.94 ( meet(X1,join(join(X2,X1),X1)) = X1 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 1.56/1.94 [u,rule_46]).
% 1.56/1.94 cnf('0.48.0.0',plain,
% 1.56/1.94 ( join(join(X1,X2),X2) = join(X2,join(join(X1,X2),X2)) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.35.2.0','0.46.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1','L')]).
% 1.56/1.94 cnf('0.48.1.0',plain,
% 1.56/1.94 ( join(join(X1,X2),X2) = join(X2,join(join(X1,X2),X2)) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.48.0.0']),
% 1.56/1.94 [weight('<103,46,35,[0,0,0,1]>')]).
% 1.56/1.94 cnf('0.48.2.0',plain,
% 1.56/1.94 ( join(X1,join(join(X2,X1),X1)) = join(join(X2,X1),X1) ),
% 1.56/1.94 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_48]).
% 1.56/1.94 cnf('0.49.0.0',plain,
% 1.56/1.94 ( X1 = join(X1,meet(X1,join(join(X1,X2),X1))) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.19.2.0','0.37.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1','L')]).
% 1.56/1.94 cnf('0.49.1.0',plain,
% 1.56/1.94 ( X1 = join(X1,meet(X1,join(join(X1,X2),X1))) ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.49.0.0']),
% 1.56/1.94 [weight('<109,37,19,[0,0,0,1]>')]).
% 1.56/1.94 cnf('0.49.2.0',plain,
% 1.56/1.94 ( join(X1,meet(X1,join(join(X1,X2),X1))) = X1 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 1.56/1.94 [x,rule_49]).
% 1.56/1.94 cnf('0.50.0.0',plain,
% 1.56/1.94 ( meet(X1,meet(X1,join(join(X1,X2),X1))) = join(meet(meet(X1,meet(X1,join(join(X1,X2),X1))),meet(X1,X1)),meet(meet(X1,meet(X1,join(join(X1,X2),X1))),X1)) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.6.2.0','0.49.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1.2.2','L')]).
% 1.56/1.94 cnf('0.50.0.1',plain,
% 1.56/1.94 ( meet(X1,join(join(X1,X2),X1)) = join(meet(meet(X1,meet(X1,join(join(X1,X2),X1))),meet(X1,X1)),meet(meet(X1,meet(X1,join(join(X1,X2),X1))),X1)) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.50.0.0','0.38.2.0',theory(equality)]),
% 1.56/1.94 [pos('L','L')]).
% 1.56/1.94 cnf('0.50.0.2',plain,
% 1.56/1.94 ( meet(X1,join(join(X1,X2),X1)) = join(meet(meet(X1,join(join(X1,X2),X1)),meet(X1,X1)),meet(meet(X1,meet(X1,join(join(X1,X2),X1))),X1)) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.50.0.1','0.38.2.0',theory(equality)]),
% 1.56/1.94 [pos('R.1.1','L')]).
% 1.56/1.94 cnf('0.50.0.3',plain,
% 1.56/1.94 ( meet(X1,join(join(X1,X2),X1)) = join(meet(meet(X1,join(join(X1,X2),X1)),X1),meet(meet(X1,meet(X1,join(join(X1,X2),X1))),X1)) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.50.0.2','0.23.2.0',theory(equality)]),
% 1.56/1.94 [pos('R.1.2','L')]).
% 1.56/1.94 cnf('0.50.0.4',plain,
% 1.56/1.94 ( meet(X1,join(join(X1,X2),X1)) = join(X1,meet(meet(X1,meet(X1,join(join(X1,X2),X1))),X1)) ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.50.0.3','0.29.2.0',theory(equality)]),
% 1.56/1.94 [pos('R.1','L')]).
% 1.56/1.94 cnf('0.50.0.5',plain,
% 1.56/1.94 ( meet(X1,join(join(X1,X2),X1)) = X1 ),
% 1.56/1.94 inference(reduction,[status(thm)],['0.50.0.4','0.24.2.0',theory(equality)]),
% 1.56/1.94 [pos('R','L')]).
% 1.56/1.94 cnf('0.50.1.0',plain,
% 1.56/1.94 ( meet(X1,join(join(X1,X2),X1)) = X1 ),
% 1.56/1.94 inference(weigh,[status(thm)],['0.50.0.5']),
% 1.56/1.94 [weight('<71,49,6,[0,0,0,7]>')]).
% 1.56/1.94 cnf('0.50.2.0',plain,
% 1.56/1.94 ( meet(X1,join(join(X1,X2),X1)) = X1 ),
% 1.56/1.94 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 1.56/1.94 [u,rule_50]).
% 1.56/1.94 cnf('0.52.0.0',plain,
% 1.56/1.94 ( join(join(X1,X2),X1) = join(X1,join(join(X1,X2),X1)) ),
% 1.56/1.94 inference(cp,[status(thm)],['0.35.2.0','0.50.2.0',theory(equality)]),
% 1.56/1.94 [pos('L.1','L')]).
% 1.56/1.95 cnf('0.52.1.0',plain,
% 1.56/1.95 ( join(join(X1,X2),X1) = join(X1,join(join(X1,X2),X1)) ),
% 1.56/1.95 inference(weigh,[status(thm)],['0.52.0.0']),
% 1.56/1.95 [weight('<103,50,35,[0,0,0,1]>')]).
% 1.56/1.95 cnf('0.52.2.0',plain,
% 1.56/1.95 ( join(X1,join(join(X1,X2),X1)) = join(join(X1,X2),X1) ),
% 1.56/1.95 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 1.56/1.95 [x,rule_52]).
% 1.56/1.95 cnf('0.79.0.0',plain,
% 1.56/1.95 ( meet(meet(X1,join(X2,X1)),X3) = meet(X1,meet(meet(X1,join(X2,X1)),X3)) ),
% 1.56/1.95 inference(cp,[status(thm)],['0.40.2.0','0.19.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.1','L')]).
% 1.56/1.95 cnf('0.79.1.0',plain,
% 1.56/1.95 ( meet(meet(X1,join(X2,X1)),X3) = meet(X1,meet(meet(X1,join(X2,X1)),X3)) ),
% 1.56/1.95 inference(weigh,[status(thm)],['0.79.0.0']),
% 1.56/1.95 [weight('<169,40,19,[1,0,0,1]>')]).
% 1.56/1.95 cnf('0.79.2.0',plain,
% 1.56/1.95 ( meet(X1,meet(meet(X1,join(X2,X1)),X3)) = meet(meet(X1,join(X2,X1)),X3) ),
% 1.56/1.95 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 1.56/1.95 [x,rule_79]).
% 1.56/1.95 cnf('0.80.0.0',plain,
% 1.56/1.95 ( meet(meet(meet(X1,join(X2,X1)),join(meet(X2,X1),meet(X1,join(X2,X1)))),X3) = meet(meet(X1,join(X2,X1)),meet(meet(meet(X1,join(X2,X1)),X1),X3)) ),
% 1.56/1.95 inference(cp,[status(thm)],['0.79.2.0','0.19.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.2.1.2','L')]).
% 1.56/1.95 cnf('0.80.0.1',plain,
% 1.56/1.95 ( meet(meet(meet(X1,join(X2,X1)),X1),X3) = meet(meet(X1,join(X2,X1)),meet(meet(meet(X1,join(X2,X1)),X1),X3)) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.80.0.0','0.19.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.1.2','L')]).
% 1.56/1.95 cnf('0.80.0.2',plain,
% 1.56/1.95 ( meet(X1,X3) = meet(meet(X1,join(X2,X1)),meet(meet(meet(X1,join(X2,X1)),X1),X3)) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.80.0.1','0.29.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.1','L')]).
% 1.56/1.95 cnf('0.80.0.3',plain,
% 1.56/1.95 ( meet(X1,X3) = meet(meet(X1,join(X2,X1)),meet(X1,X3)) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.80.0.2','0.29.2.0',theory(equality)]),
% 1.56/1.95 [pos('R.2.1','L')]).
% 1.56/1.95 cnf('0.80.1.0',plain,
% 1.56/1.95 ( meet(X1,X3) = meet(meet(X1,join(X2,X1)),meet(X1,X3)) ),
% 1.56/1.95 inference(weigh,[status(thm)],['0.80.0.3']),
% 1.56/1.95 [weight('<129,79,19,[1,0,0,5]>')]).
% 1.56/1.95 cnf('0.80.2.0',plain,
% 1.56/1.95 ( meet(meet(X1,join(X2,X1)),meet(X1,X3)) = meet(X1,X3) ),
% 1.56/1.95 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 1.56/1.95 [x,rule_80]).
% 1.56/1.95 cnf('0.82.0.0',plain,
% 1.56/1.95 ( meet(X1,join(X2,X1)) = join(meet(X1,join(X1,join(X2,X1))),meet(meet(X1,join(X2,X1)),X1)) ),
% 1.56/1.95 inference(cp,[status(thm)],['0.6.2.0','0.80.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.1','L')]).
% 1.56/1.95 cnf('0.82.0.1',plain,
% 1.56/1.95 ( meet(X1,join(X2,X1)) = join(meet(X1,join(X1,join(X2,X1))),X1) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.82.0.0','0.29.2.0',theory(equality)]),
% 1.56/1.95 [pos('R.2','L')]).
% 1.56/1.95 cnf('0.82.1.0',plain,
% 1.56/1.95 ( meet(X1,join(X2,X1)) = join(meet(X1,join(X1,join(X2,X1))),X1) ),
% 1.56/1.95 inference(weigh,[status(thm)],['0.82.0.1']),
% 1.56/1.95 [weight('<149,80,6,[0,0,0,1]>')]).
% 1.56/1.95 cnf('0.82.2.0',plain,
% 1.56/1.95 ( join(meet(X1,join(X1,join(X2,X1))),X1) = meet(X1,join(X2,X1)) ),
% 1.56/1.95 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 1.56/1.95 [x,rule_82]).
% 1.56/1.95 cnf('0.83.0.0',plain,
% 1.56/1.95 ( join(join(meet(X1,join(X1,join(X2,X1))),X1),meet(X1,join(X1,join(X2,X1)))) = join(meet(X1,join(X1,join(X2,X1))),join(meet(X1,join(X2,X1)),meet(X1,join(X1,join(X2,X1))))) ),
% 1.56/1.95 inference(cp,[status(thm)],['0.52.2.0','0.82.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.2.1','L')]).
% 1.56/1.95 cnf('0.83.0.1',plain,
% 1.56/1.95 ( join(meet(X1,join(X2,X1)),meet(X1,join(X1,join(X2,X1)))) = join(meet(X1,join(X1,join(X2,X1))),join(meet(X1,join(X2,X1)),meet(X1,join(X1,join(X2,X1))))) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.83.0.0','0.82.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.1','L')]).
% 1.56/1.95 cnf('0.83.0.2',plain,
% 1.56/1.95 ( X1 = join(meet(X1,join(X1,join(X2,X1))),join(meet(X1,join(X2,X1)),meet(X1,join(X1,join(X2,X1))))) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.83.0.1','0.5.2.0',theory(equality)]),
% 1.56/1.95 [pos('L','L')]).
% 1.56/1.95 cnf('0.83.0.3',plain,
% 1.56/1.95 ( X1 = join(meet(X1,join(X1,join(X2,X1))),X1) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.83.0.2','0.5.2.0',theory(equality)]),
% 1.56/1.95 [pos('R.2','L')]).
% 1.56/1.95 cnf('0.83.0.4',plain,
% 1.56/1.95 ( X1 = meet(X1,join(X2,X1)) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.83.0.3','0.82.2.0',theory(equality)]),
% 1.56/1.95 [pos('R','L')]).
% 1.56/1.95 cnf('0.83.1.0',plain,
% 1.56/1.95 ( X1 = meet(X1,join(X2,X1)) ),
% 1.56/1.95 inference(weigh,[status(thm)],['0.83.0.4']),
% 1.56/1.95 [weight('<41,82,52,[0,0,0,3]>')]).
% 1.56/1.95 cnf('0.83.2.0',plain,
% 1.56/1.95 ( meet(X1,join(X2,X1)) = X1 ),
% 1.56/1.95 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 1.56/1.95 [x,rule_83]).
% 1.56/1.95 cnf('0.84.0.0',plain,
% 1.56/1.95 ( join(X1,X2) = join(join(X1,X2),X2) ),
% 1.56/1.95 inference(cp,[status(thm)],['0.24.2.0','0.83.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.2','L')]).
% 1.56/1.95 cnf('0.84.1.0',plain,
% 1.56/1.95 ( join(X1,X2) = join(join(X1,X2),X2) ),
% 1.56/1.95 inference(weigh,[status(thm)],['0.84.0.0']),
% 1.56/1.95 [weight('<53,83,24,[0,0,0,2]>')]).
% 1.56/1.95 cnf('0.84.2.0',plain,
% 1.56/1.95 ( join(join(X1,X2),X2) = join(X1,X2) ),
% 1.56/1.95 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 1.56/1.95 [x,rule_84]).
% 1.56/1.95 cnf('0.85.0.0',plain,
% 1.56/1.95 ( join(X1,join(join(X2,X1),X1)) = join(join(X2,X1),X1) ),
% 1.56/1.95 inference(interreduction_right,[status(thm)],['0.48.2.0'])).
% 1.56/1.95 cnf('0.85.0.1',plain,
% 1.56/1.95 ( join(X1,join(X2,X1)) = join(join(X2,X1),X1) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.85.0.0','0.84.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.2','L')]).
% 1.56/1.95 cnf('0.85.0.2',plain,
% 1.56/1.95 ( join(X1,join(X2,X1)) = join(X2,X1) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.85.0.1','0.84.2.0',theory(equality)]),
% 1.56/1.95 [pos('R','L')]).
% 1.56/1.95 cnf('0.85.1.0',plain,
% 1.56/1.95 ( join(X1,join(X2,X1)) = join(X2,X1) ),
% 1.56/1.95 inference(weigh,[status(thm)],['0.85.0.2']),
% 1.56/1.95 [weight('<53,48,84,[0,0,0,0]>')]).
% 1.56/1.95 cnf('0.85.2.0',plain,
% 1.56/1.95 ( join(X1,join(X2,X1)) = join(X2,X1) ),
% 1.56/1.95 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 1.56/1.95 [u,rule_85]).
% 1.56/1.95 cnf('0.89.0.0',plain,
% 1.56/1.95 ( join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) = join(meet(X1,X2),meet(meet(X1,X2),X1)) ),
% 1.56/1.95 inference(cp,[status(thm)],['0.84.2.0','0.6.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.1','L')]).
% 1.56/1.95 cnf('0.89.0.1',plain,
% 1.56/1.95 ( meet(X1,X2) = join(meet(X1,X2),meet(meet(X1,X2),X1)) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.89.0.0','0.6.2.0',theory(equality)]),
% 1.56/1.95 [pos('L','L')]).
% 1.56/1.95 cnf('0.89.1.0',plain,
% 1.56/1.95 ( meet(X1,X2) = join(meet(X1,X2),meet(meet(X1,X2),X1)) ),
% 1.56/1.95 inference(weigh,[status(thm)],['0.89.0.1']),
% 1.56/1.95 [weight('<129,84,6,[1,0,0,1]>')]).
% 1.56/1.95 cnf('0.89.2.0',plain,
% 1.56/1.95 ( join(meet(X1,X2),meet(meet(X1,X2),X1)) = meet(X1,X2) ),
% 1.56/1.95 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 1.56/1.95 [x,rule_89]).
% 1.56/1.95 cnf('0.91.0.0',plain,
% 1.56/1.95 ( meet(join(X1,join(X2,X3)),X3) = join(X3,meet(meet(join(X1,join(X2,X3)),X3),join(X1,join(X2,X3)))) ),
% 1.56/1.95 inference(cp,[status(thm)],['0.89.2.0','0.41.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.1','L')]).
% 1.56/1.95 cnf('0.91.0.1',plain,
% 1.56/1.95 ( X3 = join(X3,meet(meet(join(X1,join(X2,X3)),X3),join(X1,join(X2,X3)))) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.91.0.0','0.41.2.0',theory(equality)]),
% 1.56/1.95 [pos('L','L')]).
% 1.56/1.95 cnf('0.91.0.2',plain,
% 1.56/1.95 ( X3 = join(X3,meet(X3,join(X1,join(X2,X3)))) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.91.0.1','0.41.2.0',theory(equality)]),
% 1.56/1.95 [pos('R.2.1','L')]).
% 1.56/1.95 cnf('0.91.1.0',plain,
% 1.56/1.95 ( X3 = join(X3,meet(X3,join(X1,join(X2,X3)))) ),
% 1.56/1.95 inference(weigh,[status(thm)],['0.91.0.2']),
% 1.56/1.95 [weight('<109,89,41,[1,0,0,1]>')]).
% 1.56/1.95 cnf('0.91.2.0',plain,
% 1.56/1.95 ( join(X1,meet(X1,join(X2,join(X3,X1)))) = X1 ),
% 1.56/1.95 inference(orient,[status(thm)],['0.91.1.0',theory(equality)]),
% 1.56/1.95 [x,rule_91]).
% 1.56/1.95 cnf('0.93.0.0',plain,
% 1.56/1.95 ( X1 = join(meet(X1,meet(X1,join(X2,join(X3,X1)))),meet(X1,X1)) ),
% 1.56/1.95 inference(cp,[status(thm)],['0.5.2.0','0.91.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.2.2','L')]).
% 1.56/1.95 cnf('0.93.0.1',plain,
% 1.56/1.95 ( X1 = join(meet(X1,join(X2,join(X3,X1))),meet(X1,X1)) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.93.0.0','0.38.2.0',theory(equality)]),
% 1.56/1.95 [pos('R.1','L')]).
% 1.56/1.95 cnf('0.93.0.2',plain,
% 1.56/1.95 ( X1 = join(meet(X1,join(X2,join(X3,X1))),X1) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.93.0.1','0.23.2.0',theory(equality)]),
% 1.56/1.95 [pos('R.2','L')]).
% 1.56/1.95 cnf('0.93.1.0',plain,
% 1.56/1.95 ( X1 = join(meet(X1,join(X2,join(X3,X1))),X1) ),
% 1.56/1.95 inference(weigh,[status(thm)],['0.93.0.2']),
% 1.56/1.95 [weight('<109,91,5,[0,0,0,6]>')]).
% 1.56/1.95 cnf('0.93.2.0',plain,
% 1.56/1.95 ( join(meet(X1,join(X2,join(X3,X1))),X1) = X1 ),
% 1.56/1.95 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 1.56/1.95 [x,rule_93]).
% 1.56/1.95 cnf('0.94.0.0',plain,
% 1.56/1.95 ( join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) = join(meet(meet(X1,X2),X1),meet(X1,X2)) ),
% 1.56/1.95 inference(cp,[status(thm)],['0.85.2.0','0.6.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.2','L')]).
% 1.56/1.95 cnf('0.94.0.1',plain,
% 1.56/1.95 ( meet(X1,X2) = join(meet(meet(X1,X2),X1),meet(X1,X2)) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.94.0.0','0.6.2.0',theory(equality)]),
% 1.56/1.95 [pos('L','L')]).
% 1.56/1.95 cnf('0.94.1.0',plain,
% 1.56/1.95 ( meet(X1,X2) = join(meet(meet(X1,X2),X1),meet(X1,X2)) ),
% 1.56/1.95 inference(weigh,[status(thm)],['0.94.0.1']),
% 1.56/1.95 [weight('<129,85,6,[1,0,0,2]>')]).
% 1.56/1.95 cnf('0.94.2.0',plain,
% 1.56/1.95 ( join(meet(meet(X1,X2),X1),meet(X1,X2)) = meet(X1,X2) ),
% 1.56/1.95 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 1.56/1.95 [x,rule_94]).
% 1.56/1.95 cnf('0.96.0.0',plain,
% 1.56/1.95 ( X1 = meet(meet(join(X2,join(X3,X1)),join(X4,X1)),X1) ),
% 1.56/1.95 inference(cp,[status(thm)],['0.20.2.0','0.85.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.1.1.2','L')]).
% 1.56/1.95 cnf('0.96.1.0',plain,
% 1.56/1.95 ( X1 = meet(meet(join(X2,join(X3,X1)),join(X4,X1)),X1) ),
% 1.56/1.95 inference(weigh,[status(thm)],['0.96.0.0']),
% 1.56/1.95 [weight('<155,85,20,[0,0,0,4]>')]).
% 1.56/1.95 cnf('0.96.2.0',plain,
% 1.56/1.95 ( meet(meet(join(X1,join(X2,X3)),join(X4,X3)),X3) = X3 ),
% 1.56/1.95 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 1.56/1.95 [x,rule_96]).
% 1.56/1.95 cnf('0.97.0.0',plain,
% 1.56/1.95 ( meet(meet(join(X1,join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(X6,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(join(meet(X3,X4),meet(X4,X5)),X4)) = join(meet(join(join(meet(X3,X4),meet(X4,X5)),X4),meet(X4,join(meet(join(X1,join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(X6,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(join(meet(X3,X4),meet(X4,X5)),X4)))),meet(meet(meet(join(X1,join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(X6,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(join(meet(X3,X4),meet(X4,X5)),X4)),X4)) ),
% 1.56/1.95 inference(cp,[status(thm)],['0.13.2.0','0.96.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.1.1','L')]).
% 1.56/1.95 cnf('0.97.0.1',plain,
% 1.56/1.95 ( join(join(meet(X3,X4),meet(X4,X5)),X4) = join(meet(join(join(meet(X3,X4),meet(X4,X5)),X4),meet(X4,join(meet(join(X1,join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(X6,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(join(meet(X3,X4),meet(X4,X5)),X4)))),meet(meet(meet(join(X1,join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(X6,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(join(meet(X3,X4),meet(X4,X5)),X4)),X4)) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.97.0.0','0.96.2.0',theory(equality)]),
% 1.56/1.95 [pos('L','L')]).
% 1.56/1.95 cnf('0.97.0.2',plain,
% 1.56/1.95 ( join(join(meet(X3,X4),meet(X4,X5)),X4) = join(meet(X4,join(meet(join(X1,join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(X6,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(join(meet(X3,X4),meet(X4,X5)),X4))),meet(meet(meet(join(X1,join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(X6,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(join(meet(X3,X4),meet(X4,X5)),X4)),X4)) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.97.0.1','0.40.2.0',theory(equality)]),
% 1.56/1.95 [pos('R.1','L')]).
% 1.56/1.95 cnf('0.97.0.3',plain,
% 1.56/1.95 ( join(join(meet(X3,X4),meet(X4,X5)),X4) = join(meet(X4,join(meet(join(X1,join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(X6,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(join(meet(X3,X4),meet(X4,X5)),X4))),meet(join(join(meet(X3,X4),meet(X4,X5)),X4),X4)) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.97.0.2','0.96.2.0',theory(equality)]),
% 1.56/1.95 [pos('R.2.1','L')]).
% 1.56/1.95 cnf('0.97.0.4',plain,
% 1.56/1.95 ( join(join(meet(X3,X4),meet(X4,X5)),X4) = join(meet(X4,join(meet(join(X1,join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(X6,join(join(meet(X3,X4),meet(X4,X5)),X4))),join(join(meet(X3,X4),meet(X4,X5)),X4))),X4) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.97.0.3','0.33.2.0',theory(equality)]),
% 1.56/1.95 [pos('R.2','L')]).
% 1.56/1.95 cnf('0.97.0.5',plain,
% 1.56/1.95 ( join(join(meet(X3,X4),meet(X4,X5)),X4) = X4 ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.97.0.4','0.93.2.0',theory(equality)]),
% 1.56/1.95 [pos('R','L')]).
% 1.56/1.95 cnf('0.97.1.0',plain,
% 1.56/1.95 ( join(join(meet(X3,X4),meet(X4,X5)),X4) = X4 ),
% 1.56/1.95 inference(weigh,[status(thm)],['0.97.0.5']),
% 1.56/1.95 [weight('<109,96,13,[0,0,0,2]>')]).
% 1.56/1.95 cnf('0.97.2.0',plain,
% 1.56/1.95 ( join(join(meet(X1,X2),meet(X2,X3)),X2) = X2 ),
% 1.56/1.95 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 1.56/1.95 [u,rule_97]).
% 1.56/1.95 cnf('0.98.0.0',plain,
% 1.56/1.95 ( X1 = join(meet(X1,X2),X1) ),
% 1.56/1.95 inference(cp,[status(thm)],['0.97.2.0','0.94.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.1','L')]).
% 1.56/1.95 cnf('0.98.1.0',plain,
% 1.56/1.95 ( X1 = join(meet(X1,X2),X1) ),
% 1.56/1.95 inference(weigh,[status(thm)],['0.98.0.0']),
% 1.56/1.95 [weight('<41,97,94,[1,0,0,1]>')]).
% 1.56/1.95 cnf('0.98.2.0',plain,
% 1.56/1.95 ( join(meet(X1,X2),X1) = X1 ),
% 1.56/1.95 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 1.56/1.95 [x,rule_98]).
% 1.56/1.95 cnf('0.99.0.0',plain,
% 1.56/1.95 ( meet(X1,X2) = join(meet(meet(X1,X2),X1),meet(meet(X1,X2),X1)) ),
% 1.56/1.95 inference(cp,[status(thm)],['0.5.2.0','0.98.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.2.2','L')]).
% 1.56/1.95 cnf('0.99.0.1',plain,
% 1.56/1.95 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 1.56/1.95 inference(reduction,[status(thm)],['0.99.0.0','0.22.2.0',theory(equality)]),
% 1.56/1.95 [pos('R','L')]).
% 1.56/1.95 cnf('0.99.1.0',plain,
% 1.56/1.95 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 1.56/1.95 inference(weigh,[status(thm)],['0.99.0.1']),
% 1.56/1.95 [weight('<53,98,5,[0,0,0,6]>')]).
% 1.56/1.95 cnf('0.99.2.0',plain,
% 1.56/1.95 ( meet(meet(X1,X2),X1) = meet(X1,X2) ),
% 1.56/1.95 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 1.56/1.95 [x,rule_99]).
% 1.56/1.95 cnf('0.100.0.0',plain,
% 1.56/1.95 ( X1 = join(X1,meet(X1,X2)) ),
% 1.56/1.95 inference(cp,[status(thm)],['0.24.2.0','0.99.2.0',theory(equality)]),
% 1.56/1.95 [pos('L.2','L')]).
% 1.56/1.95 cnf('0.100.1.0',plain,
% 1.56/1.95 ( X1 = join(X1,meet(X1,X2)) ),
% 1.56/1.95 inference(weigh,[status(thm)],['0.100.0.0']),
% 1.56/1.95 [weight('<41,99,24,[0,0,0,2]>')]).
% 1.56/1.95 cnf('0.100.2.0',plain,
% 1.56/1.95 ( join(X1,meet(X1,X2)) = X1 ),
% 1.56/1.95 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 1.56/1.95 [x,rule_100]).
% 1.56/1.95 cnf('1.0.0.0',conjecture,
% 1.56/1.95 ( join(a,meet(a,b)) = a ),
% 1.56/1.95 file('/tmp/WALDMEISTER_15122_n020',conjecture_1)).
% 1.56/1.95 cnf('1.0.0.1',plain,
% 1.56/1.95 ( a = a ),
% 1.56/1.95 inference(reduction,[status(thm)],['1.0.0.0','0.100.2.0',theory(equality)]),
% 1.56/1.95 [pos('L','L')]).
% 1.56/1.95 cnf('1.0.0.2',plain,
% 1.56/1.95 ( $true ),
% 1.56/1.95 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 1.56/1.95 [conjecture_1]).
% 1.56/1.95
% 1.56/1.95 Proved Goals:
% 1.56/1.95 No. 1: join(a,meet(a,b)) ?= a joined, current: a = a
% 1.56/1.95 1 goal was specified, which was proved.
% 1.56/1.95 % SZS output end CNFRefutation
% 1.56/1.95 #END OF PROOF
% 1.56/1.95
% 1.56/1.95 Problem WALDMEISTER_15122_n020
% 1.56/1.95 CPs.gen 7978
% 1.56/1.95 CPs.reexp 0
% 1.56/1.95 Select 209
% 1.56/1.95 R 100
% 1.56/1.95 E 0
% 1.56/1.95 vsize 8.8M
% 1.56/1.95 rss 6.1M
% 1.56/1.95 process.time 0.933s
% 1.56/1.95 wallclock.time 0.933s
% 1.56/1.95 status S
% 1.56/1.95
% 1.56/1.95
% 1.56/1.95 Waldmeister states: Goal proved.
% 1.56/1.95 % SZS status Unsatisfiable
%------------------------------------------------------------------------------