%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT085-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n028.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 1.74s 2.17s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT085-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n028.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 : Tue Jun 28 21:59:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.98 * |/ | \/ | *
% 0.57/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.98 * A. Jaeger and B. Loechner | | *
% 0.57/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.57/0.98
% 0.57/0.98 Goals:
% 0.57/0.98 ------
% 0.57/0.98
% 0.57/0.98 ( 1) join(join(a,b),c) ?=? join(a,join(b,c))
% 0.57/0.98
% 0.57/0.98 Detected structure: Orkus
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 1.74/2.17 joined goal: 1 join(join(a,b),c) ?= join(a,join(b,c)) to join(a,join(c,b))
% 1.74/2.17 goal joined
% 1.74/2.17 % SZS status Unsatisfiable
% 1.74/2.17 #START OF PROOF
% 1.74/2.17 % SZS output start CNFRefutation
% 1.74/2.17 cnf('0.1.0.0',axiom,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 file('/tmp/WALDMEISTER_14758_n028')).
% 1.74/2.17 cnf('0.1.1.0',plain,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.74/2.17 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.74/2.17 cnf('0.1.2.0',plain,
% 1.74/2.17 ( 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 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_1]).
% 1.74/2.17 cnf('0.2.0.0',plain,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.1','L')]).
% 1.74/2.17 cnf('0.2.0.1',plain,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.2.0.0','0.1.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.2.2.1','L')]).
% 1.74/2.17 cnf('0.2.1.0',plain,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.2.0.1']),
% 1.74/2.17 [weight('<?,1,1,[0,0,0,2]>')]).
% 1.74/2.17 cnf('0.2.2.0',plain,
% 1.74/2.17 ( 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)))) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_2]).
% 1.74/2.17 cnf('0.3.0.0',plain,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.1.2.1','L')]).
% 1.74/2.17 cnf('0.3.1.0',plain,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.74/2.17 [weight('<10505,2,1,[0,0,0,26]>')]).
% 1.74/2.17 cnf('0.3.2.0',plain,
% 1.74/2.17 ( 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 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_3]).
% 1.74/2.17 cnf('0.4.0.0',plain,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.1','L')]).
% 1.74/2.17 cnf('0.4.1.0',plain,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.4.0.0']),
% 1.74/2.17 [weight('<3421,3,1,[1,0,0,13]>')]).
% 1.74/2.17 cnf('0.4.2.0',plain,
% 1.74/2.17 ( 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 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_4]).
% 1.74/2.17 cnf('0.5.0.0',plain,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.4.2.0','0.4.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.1','L')]).
% 1.74/2.17 cnf('0.5.0.1',plain,
% 1.74/2.17 ( X1 = join(meet(X1,X2),meet(X1,join(X1,X2))) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.5.0.0','0.4.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.2.2.1','L')]).
% 1.74/2.17 cnf('0.5.1.0',plain,
% 1.74/2.17 ( X1 = join(meet(X1,X2),meet(X1,join(X1,X2))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.5.0.1']),
% 1.74/2.17 [weight('<109,4,4,[0,0,0,2]>')]).
% 1.74/2.17 cnf('0.5.2.0',plain,
% 1.74/2.17 ( join(meet(X1,X2),meet(X1,join(X1,X2))) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_5]).
% 1.74/2.17 cnf('0.6.0.0',plain,
% 1.74/2.17 ( meet(X1,X2) = join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.2','L')]).
% 1.74/2.17 cnf('0.6.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.6.0.0']),
% 1.74/2.17 [weight('<303,5,5,[0,0,0,6]>')]).
% 1.74/2.17 cnf('0.6.2.0',plain,
% 1.74/2.17 ( join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) = meet(X1,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_6]).
% 1.74/2.17 cnf('0.8.0.0',plain,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.1.2.1','L')]).
% 1.74/2.17 cnf('0.8.1.0',plain,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.8.0.0']),
% 1.74/2.17 [weight('<2549,5,1,[0,0,0,26]>')]).
% 1.74/2.17 cnf('0.8.2.0',plain,
% 1.74/2.17 ( 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 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_8]).
% 1.74/2.17 cnf('0.9.0.0',plain,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.8.2.0','0.8.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.1','L')]).
% 1.74/2.17 cnf('0.9.0.1',plain,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.9.0.0','0.8.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.2.1','L')]).
% 1.74/2.17 cnf('0.9.0.2',plain,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.9.0.1','0.8.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.2.2.1','L')]).
% 1.74/2.17 cnf('0.9.0.3',plain,
% 1.74/2.17 ( 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 ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.9.0.2','0.5.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.9.1.0',plain,
% 1.74/2.17 ( 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 ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.9.0.3']),
% 1.74/2.17 [weight('<701,8,8,[0,0,0,2]>')]).
% 1.74/2.17 cnf('0.9.2.0',plain,
% 1.74/2.17 ( 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 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_9]).
% 1.74/2.17 cnf('0.10.0.0',plain,
% 1.74/2.17 ( 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)))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.2.1','L')]).
% 1.74/2.17 cnf('0.10.0.1',plain,
% 1.74/2.17 ( X1 = join(meet(X2,join(X1,X1)),meet(X1,join(X2,join(X1,X1)))) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.10.0.0','0.4.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.2.2.2.1','L')]).
% 1.74/2.17 cnf('0.10.1.0',plain,
% 1.74/2.17 ( X1 = join(meet(X2,join(X1,X1)),meet(X1,join(X2,join(X1,X1)))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.10.0.1']),
% 1.74/2.17 [weight('<209,9,4,[1,0,0,4]>')]).
% 1.74/2.17 cnf('0.10.2.0',plain,
% 1.74/2.17 ( join(meet(X1,join(X2,X2)),meet(X2,join(X1,join(X2,X2)))) = X2 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_10]).
% 1.74/2.17 cnf('0.12.0.0',plain,
% 1.74/2.17 ( 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 ),
% 1.74/2.17 inference(interreduction_right,[status(thm)],['0.8.2.0'])).
% 1.74/2.17 cnf('0.12.0.1',plain,
% 1.74/2.17 ( 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 ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.12.0.0','0.9.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.1','L')]).
% 1.74/2.17 cnf('0.12.1.0',plain,
% 1.74/2.17 ( 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 ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.12.0.1']),
% 1.74/2.17 [weight('<701,8,9,[0,0,0,0]>')]).
% 1.74/2.17 cnf('0.12.2.0',plain,
% 1.74/2.17 ( 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 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_12]).
% 1.74/2.17 cnf('0.13.0.0',plain,
% 1.74/2.17 ( 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)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.5.2.0','0.9.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.2','L')]).
% 1.74/2.17 cnf('0.13.1.0',plain,
% 1.74/2.17 ( 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)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.13.0.0']),
% 1.74/2.17 [weight('<2039,9,5,[0,0,0,6]>')]).
% 1.74/2.17 cnf('0.13.2.0',plain,
% 1.74/2.17 ( 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)) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_13]).
% 1.74/2.17 cnf('0.17.0.0',plain,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.2.2.0','0.5.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.1.2.1','L')]).
% 1.74/2.17 cnf('0.17.0.1',plain,
% 1.74/2.17 ( 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))) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.17.0.0','0.1.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.2.1','L')]).
% 1.74/2.17 cnf('0.17.0.2',plain,
% 1.74/2.17 ( 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 ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.17.0.1','0.5.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.17.1.0',plain,
% 1.74/2.17 ( 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 ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.17.0.2']),
% 1.74/2.17 [weight('<2969,5,2,[0,0,0,182]>')]).
% 1.74/2.17 cnf('0.17.2.0',plain,
% 1.74/2.17 ( 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 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_17]).
% 1.74/2.17 cnf('0.18.0.0',plain,
% 1.74/2.17 ( 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)))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.17.2.0','0.5.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.18.1.0',plain,
% 1.74/2.17 ( 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)))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.18.0.0']),
% 1.74/2.17 [weight('<929,17,5,[1,0,0,0]>')]).
% 1.74/2.17 cnf('0.18.2.0',plain,
% 1.74/2.17 ( 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 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_18]).
% 1.74/2.17 cnf('0.19.0.0',plain,
% 1.74/2.17 ( join(meet(X1,X2),meet(X2,join(X1,X2))) = X2 ),
% 1.74/2.17 inference(cp,[status(thm)],['0.18.2.0','0.12.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.19.1.0',plain,
% 1.74/2.17 ( join(meet(X1,X2),meet(X2,join(X1,X2))) = X2 ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.19.0.0']),
% 1.74/2.17 [weight('<109,18,12,[1,0,0,0]>')]).
% 1.74/2.17 cnf('0.19.2.0',plain,
% 1.74/2.17 ( join(meet(X1,X2),meet(X2,join(X1,X2))) = X2 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_19]).
% 1.74/2.17 cnf('0.20.0.0',plain,
% 1.74/2.17 ( meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2) = X2 ),
% 1.74/2.17 inference(cp,[status(thm)],['0.19.2.0','0.18.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.20.1.0',plain,
% 1.74/2.17 ( meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2) = X2 ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.20.0.0']),
% 1.74/2.17 [weight('<155,19,18,[1,0,0,0]>')]).
% 1.74/2.17 cnf('0.20.2.0',plain,
% 1.74/2.17 ( meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2) = X2 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_20]).
% 1.74/2.17 cnf('0.21.0.0',plain,
% 1.74/2.17 ( 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 ),
% 1.74/2.17 inference(interreduction_right,[status(thm)],['0.18.2.0'])).
% 1.74/2.17 cnf('0.21.0.1',plain,
% 1.74/2.17 ( join(meet(X1,X1),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))) = X1 ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.21.0.0','0.20.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.2','L')]).
% 1.74/2.17 cnf('0.21.0.2',plain,
% 1.74/2.17 ( join(meet(X1,X1),meet(X5,join(X1,X1))) = X1 ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.21.0.1','0.20.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.2.2','L')]).
% 1.74/2.17 cnf('0.21.1.0',plain,
% 1.74/2.17 ( join(meet(X1,X1),meet(X5,join(X1,X1))) = X1 ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.21.0.2']),
% 1.74/2.17 [weight('<109,18,20,[0,0,0,0]>')]).
% 1.74/2.17 cnf('0.21.2.0',plain,
% 1.74/2.17 ( join(meet(X1,X1),meet(X2,join(X1,X1))) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_21]).
% 1.74/2.17 cnf('0.22.0.0',plain,
% 1.74/2.17 ( join(X1,X1) = X1 ),
% 1.74/2.17 inference(cp,[status(thm)],['0.21.2.0','0.10.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.22.1.0',plain,
% 1.74/2.17 ( join(X1,X1) = X1 ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.22.0.0']),
% 1.74/2.17 [weight('<19,21,10,[1,0,0,0]>')]).
% 1.74/2.17 cnf('0.22.2.0',plain,
% 1.74/2.17 ( join(X1,X1) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_22]).
% 1.74/2.17 cnf('0.23.0.0',plain,
% 1.74/2.17 ( X1 = join(meet(X1,X1),meet(X1,X1)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.5.2.0','0.22.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.2','L')]).
% 1.74/2.17 cnf('0.23.0.1',plain,
% 1.74/2.17 ( X1 = meet(X1,X1) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.23.0.0','0.22.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.23.1.0',plain,
% 1.74/2.17 ( X1 = meet(X1,X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.23.0.1']),
% 1.74/2.17 [weight('<19,22,5,[0,0,0,6]>')]).
% 1.74/2.17 cnf('0.23.2.0',plain,
% 1.74/2.17 ( meet(X1,X1) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_23]).
% 1.74/2.17 cnf('0.24.0.0',plain,
% 1.74/2.17 ( join(meet(X1,X1),meet(X2,join(X1,X1))) = X1 ),
% 1.74/2.17 inference(interreduction_right,[status(thm)],['0.21.2.0'])).
% 1.74/2.17 cnf('0.24.0.1',plain,
% 1.74/2.17 ( join(meet(X1,X1),meet(X2,X1)) = X1 ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.24.0.0','0.22.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.2','L')]).
% 1.74/2.17 cnf('0.24.1.0',plain,
% 1.74/2.17 ( join(meet(X1,X1),meet(X2,X1)) = X1 ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.24.0.1']),
% 1.74/2.17 [weight('<71,21,22,[0,0,0,0]>')]).
% 1.74/2.17 cnf('0.24.1.1',plain,
% 1.74/2.17 ( join(X1,meet(X2,X1)) = X1 ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.24.1.0','0.23.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.24.2.0',plain,
% 1.74/2.17 ( join(X1,meet(X2,X1)) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.24.1.1',theory(equality)]),
% 1.74/2.17 [u,rule_24]).
% 1.74/2.17 cnf('0.25.0.0',plain,
% 1.74/2.17 ( X1 = join(meet(X1,meet(X2,X1)),meet(X1,X1)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.5.2.0','0.24.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.2','L')]).
% 1.74/2.17 cnf('0.25.0.1',plain,
% 1.74/2.17 ( X1 = join(meet(X1,meet(X2,X1)),X1) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.25.0.0','0.23.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.2','L')]).
% 1.74/2.17 cnf('0.25.1.0',plain,
% 1.74/2.17 ( X1 = join(meet(X1,meet(X2,X1)),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.25.0.1']),
% 1.74/2.17 [weight('<71,24,5,[0,0,0,6]>')]).
% 1.74/2.17 cnf('0.25.2.0',plain,
% 1.74/2.17 ( join(meet(X1,meet(X2,X1)),X1) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_25]).
% 1.74/2.17 cnf('0.26.0.0',plain,
% 1.74/2.17 ( meet(X1,meet(X2,X1)) = join(meet(meet(X1,meet(X2,X1)),meet(X1,X1)),meet(meet(X1,meet(X2,X1)),X1)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.6.2.0','0.24.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.2.2','L')]).
% 1.74/2.17 cnf('0.26.0.1',plain,
% 1.74/2.17 ( meet(X1,meet(X2,X1)) = join(meet(meet(X1,meet(X2,X1)),X1),meet(meet(X1,meet(X2,X1)),X1)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.26.0.0','0.23.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.1.2','L')]).
% 1.74/2.17 cnf('0.26.0.2',plain,
% 1.74/2.17 ( meet(X1,meet(X2,X1)) = meet(meet(X1,meet(X2,X1)),X1) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.26.0.1','0.22.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.26.1.0',plain,
% 1.74/2.17 ( meet(X1,meet(X2,X1)) = meet(meet(X1,meet(X2,X1)),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.26.0.2']),
% 1.74/2.17 [weight('<103,24,6,[0,0,0,7]>')]).
% 1.74/2.17 cnf('0.26.2.0',plain,
% 1.74/2.17 ( meet(meet(X1,meet(X2,X1)),X1) = meet(X1,meet(X2,X1)) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_26]).
% 1.74/2.17 cnf('0.28.0.0',plain,
% 1.74/2.17 ( X1 = meet(meet(join(X1,X2),join(X3,X1)),X1) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.20.2.0','0.22.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.1','L')]).
% 1.74/2.17 cnf('0.28.1.0',plain,
% 1.74/2.17 ( X1 = meet(meet(join(X1,X2),join(X3,X1)),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.28.0.0']),
% 1.74/2.17 [weight('<109,22,20,[0,0,0,2]>')]).
% 1.74/2.17 cnf('0.28.2.0',plain,
% 1.74/2.17 ( meet(meet(join(X1,X2),join(X3,X1)),X1) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_28]).
% 1.74/2.17 cnf('0.29.0.0',plain,
% 1.74/2.17 ( X1 = meet(meet(X1,join(X2,X1)),X1) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.28.2.0','0.22.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.1','L')]).
% 1.74/2.17 cnf('0.29.1.0',plain,
% 1.74/2.17 ( X1 = meet(meet(X1,join(X2,X1)),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.29.0.0']),
% 1.74/2.17 [weight('<71,28,22,[1,0,0,2]>')]).
% 1.74/2.17 cnf('0.29.2.0',plain,
% 1.74/2.17 ( meet(meet(X1,join(X2,X1)),X1) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_29]).
% 1.74/2.17 cnf('0.30.0.0',plain,
% 1.74/2.17 ( X1 = meet(meet(join(X1,X2),X1),X1) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.28.2.0','0.22.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.2','L')]).
% 1.74/2.17 cnf('0.30.1.0',plain,
% 1.74/2.17 ( X1 = meet(meet(join(X1,X2),X1),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.30.0.0']),
% 1.74/2.17 [weight('<71,28,22,[1,0,0,5]>')]).
% 1.74/2.17 cnf('0.30.2.0',plain,
% 1.74/2.17 ( meet(meet(join(X1,X2),X1),X1) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_30]).
% 1.74/2.17 cnf('0.32.0.0',plain,
% 1.74/2.17 ( X1 = meet(meet(join(X2,X1),join(X3,X1)),X1) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.20.2.0','0.22.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.1.2','L')]).
% 1.74/2.17 cnf('0.32.1.0',plain,
% 1.74/2.17 ( X1 = meet(meet(join(X2,X1),join(X3,X1)),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.32.0.0']),
% 1.74/2.17 [weight('<109,22,20,[0,0,0,4]>')]).
% 1.74/2.17 cnf('0.32.2.0',plain,
% 1.74/2.17 ( meet(meet(join(X1,X2),join(X3,X2)),X2) = X2 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_32]).
% 1.74/2.17 cnf('0.33.0.0',plain,
% 1.74/2.17 ( X1 = meet(join(X2,X1),X1) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.32.2.0','0.23.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.33.1.0',plain,
% 1.74/2.17 ( X1 = meet(join(X2,X1),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.33.0.0']),
% 1.74/2.17 [weight('<41,32,23,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.33.2.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),X2) = X2 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_33]).
% 1.74/2.17 cnf('0.34.0.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(X2,meet(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.33.2.0','0.24.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.34.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(X2,meet(X1,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.34.0.0']),
% 1.74/2.17 [weight('<53,33,24,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.34.2.0',plain,
% 1.74/2.17 ( meet(X1,meet(X2,X1)) = meet(X2,X1) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_34]).
% 1.74/2.17 cnf('0.35.0.0',plain,
% 1.74/2.17 ( join(meet(X1,meet(X2,X1)),X1) = X1 ),
% 1.74/2.17 inference(interreduction_right,[status(thm)],['0.25.2.0'])).
% 1.74/2.17 cnf('0.35.0.1',plain,
% 1.74/2.17 ( join(meet(X2,X1),X1) = X1 ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.35.0.0','0.34.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.35.1.0',plain,
% 1.74/2.17 ( join(meet(X2,X1),X1) = X1 ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.35.0.1']),
% 1.74/2.17 [weight('<41,25,34,[0,0,0,0]>')]).
% 1.74/2.17 cnf('0.35.2.0',plain,
% 1.74/2.17 ( join(meet(X1,X2),X2) = X2 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_35]).
% 1.74/2.17 cnf('0.36.0.0',plain,
% 1.74/2.17 ( meet(meet(X1,meet(X2,X1)),X1) = meet(X1,meet(X2,X1)) ),
% 1.74/2.17 inference(interreduction_right,[status(thm)],['0.26.2.0'])).
% 1.74/2.17 cnf('0.36.0.1',plain,
% 1.74/2.17 ( meet(meet(X2,X1),X1) = meet(X1,meet(X2,X1)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.36.0.0','0.34.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.36.0.2',plain,
% 1.74/2.17 ( meet(meet(X2,X1),X1) = meet(X2,X1) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.36.0.1','0.34.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.36.1.0',plain,
% 1.74/2.17 ( meet(meet(X2,X1),X1) = meet(X2,X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.36.0.2']),
% 1.74/2.17 [weight('<53,26,34,[0,0,0,0]>')]).
% 1.74/2.17 cnf('0.36.2.0',plain,
% 1.74/2.17 ( meet(meet(X1,X2),X2) = meet(X1,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_36]).
% 1.74/2.17 cnf('0.37.0.0',plain,
% 1.74/2.17 ( meet(meet(join(X1,X2),X1),X1) = X1 ),
% 1.74/2.17 inference(interreduction_right,[status(thm)],['0.30.2.0'])).
% 1.74/2.17 cnf('0.37.0.1',plain,
% 1.74/2.17 ( meet(join(X1,X2),X1) = X1 ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.37.0.0','0.36.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.37.1.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),X1) = X1 ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.37.0.1']),
% 1.74/2.17 [weight('<41,30,36,[0,0,0,0]>')]).
% 1.74/2.17 cnf('0.37.2.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),X1) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_37]).
% 1.74/2.17 cnf('0.38.0.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(X1,meet(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.37.2.0','0.5.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.38.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(X1,meet(X1,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.38.0.0']),
% 1.74/2.17 [weight('<53,37,5,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.38.2.0',plain,
% 1.74/2.17 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_38]).
% 1.74/2.17 cnf('0.39.0.0',plain,
% 1.74/2.17 ( X1 = meet(meet(join(X2,join(X1,X3)),X1),X1) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.20.2.0','0.22.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.2','L')]).
% 1.74/2.17 cnf('0.39.1.0',plain,
% 1.74/2.17 ( X1 = meet(meet(join(X2,join(X1,X3)),X1),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.39.0.0']),
% 1.74/2.17 [weight('<109,22,20,[0,0,0,7]>')]).
% 1.74/2.17 cnf('0.39.1.1',plain,
% 1.74/2.17 ( X1 = meet(join(X2,join(X1,X3)),X1) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.39.1.0','0.36.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.39.2.0',plain,
% 1.74/2.17 ( meet(join(X1,join(X2,X3)),X2) = X2 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.39.1.1',theory(equality)]),
% 1.74/2.17 [x,rule_39]).
% 1.74/2.17 cnf('0.40.0.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.39.2.0','0.5.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.2','L')]).
% 1.74/2.17 cnf('0.40.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.40.0.0']),
% 1.74/2.17 [weight('<87,39,5,[1,0,0,3]>')]).
% 1.74/2.17 cnf('0.40.2.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),meet(X2,X3)) = meet(X2,X3) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_40]).
% 1.74/2.17 cnf('0.41.0.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),X2) = meet(join(X3,join(X1,X2)),X2) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.40.2.0','0.33.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.41.0.1',plain,
% 1.74/2.17 ( X2 = meet(join(X3,join(X1,X2)),X2) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.41.0.0','0.33.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.41.1.0',plain,
% 1.74/2.17 ( X2 = meet(join(X3,join(X1,X2)),X2) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.41.0.1']),
% 1.74/2.17 [weight('<71,40,33,[1,0,0,4]>')]).
% 1.74/2.17 cnf('0.41.2.0',plain,
% 1.74/2.17 ( meet(join(X1,join(X2,X3)),X3) = X3 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_41]).
% 1.74/2.17 cnf('0.42.0.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(join(X3,X2),meet(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.39.2.0','0.19.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.2','L')]).
% 1.74/2.17 cnf('0.42.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(join(X3,X2),meet(X1,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.42.0.0']),
% 1.74/2.17 [weight('<87,39,19,[1,0,0,3]>')]).
% 1.74/2.17 cnf('0.42.2.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),meet(X3,X2)) = meet(X3,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_42]).
% 1.74/2.17 cnf('0.44.0.0',plain,
% 1.74/2.17 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,meet(X2,X3))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.42.2.0','0.24.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.44.1.0',plain,
% 1.74/2.17 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,meet(X2,X3))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.44.0.0']),
% 1.74/2.17 [weight('<103,42,24,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.44.2.0',plain,
% 1.74/2.17 ( meet(X1,meet(X2,meet(X3,X1))) = meet(X2,meet(X3,X1)) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_44]).
% 1.74/2.17 cnf('0.45.0.0',plain,
% 1.74/2.17 ( X1 = join(X1,meet(X1,join(join(X2,X1),X1))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.19.2.0','0.33.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.45.1.0',plain,
% 1.74/2.17 ( X1 = join(X1,meet(X1,join(join(X2,X1),X1))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.45.0.0']),
% 1.74/2.17 [weight('<109,33,19,[0,0,0,1]>')]).
% 1.74/2.17 cnf('0.45.2.0',plain,
% 1.74/2.17 ( join(X1,meet(X1,join(join(X2,X1),X1))) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_45]).
% 1.74/2.17 cnf('0.46.0.0',plain,
% 1.74/2.17 ( 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)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.6.2.0','0.45.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.2.2','L')]).
% 1.74/2.17 cnf('0.46.0.1',plain,
% 1.74/2.17 ( 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)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.46.0.0','0.38.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.46.0.2',plain,
% 1.74/2.17 ( 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)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.46.0.1','0.38.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.1.1','L')]).
% 1.74/2.17 cnf('0.46.0.3',plain,
% 1.74/2.17 ( 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)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.46.0.2','0.23.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.1.2','L')]).
% 1.74/2.17 cnf('0.46.0.4',plain,
% 1.74/2.17 ( meet(X1,join(join(X2,X1),X1)) = join(X1,meet(meet(X1,meet(X1,join(join(X2,X1),X1))),X1)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.46.0.3','0.29.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.1','L')]).
% 1.74/2.17 cnf('0.46.0.5',plain,
% 1.74/2.17 ( meet(X1,join(join(X2,X1),X1)) = X1 ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.46.0.4','0.24.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.46.1.0',plain,
% 1.74/2.17 ( meet(X1,join(join(X2,X1),X1)) = X1 ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.46.0.5']),
% 1.74/2.17 [weight('<71,45,6,[0,0,0,7]>')]).
% 1.74/2.17 cnf('0.46.2.0',plain,
% 1.74/2.17 ( meet(X1,join(join(X2,X1),X1)) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_46]).
% 1.74/2.17 cnf('0.48.0.0',plain,
% 1.74/2.17 ( join(join(X1,X2),X2) = join(X2,join(join(X1,X2),X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.35.2.0','0.46.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.48.1.0',plain,
% 1.74/2.17 ( join(join(X1,X2),X2) = join(X2,join(join(X1,X2),X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.48.0.0']),
% 1.74/2.17 [weight('<103,46,35,[0,0,0,1]>')]).
% 1.74/2.17 cnf('0.48.2.0',plain,
% 1.74/2.17 ( join(X1,join(join(X2,X1),X1)) = join(join(X2,X1),X1) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_48]).
% 1.74/2.17 cnf('0.49.0.0',plain,
% 1.74/2.17 ( X1 = join(X1,meet(X1,join(join(X1,X2),X1))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.19.2.0','0.37.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.49.1.0',plain,
% 1.74/2.17 ( X1 = join(X1,meet(X1,join(join(X1,X2),X1))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.49.0.0']),
% 1.74/2.17 [weight('<109,37,19,[0,0,0,1]>')]).
% 1.74/2.17 cnf('0.49.2.0',plain,
% 1.74/2.17 ( join(X1,meet(X1,join(join(X1,X2),X1))) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_49]).
% 1.74/2.17 cnf('0.50.0.0',plain,
% 1.74/2.17 ( 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)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.6.2.0','0.49.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.2.2','L')]).
% 1.74/2.17 cnf('0.50.0.1',plain,
% 1.74/2.17 ( 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)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.50.0.0','0.38.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.50.0.2',plain,
% 1.74/2.17 ( 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)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.50.0.1','0.38.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.1.1','L')]).
% 1.74/2.17 cnf('0.50.0.3',plain,
% 1.74/2.17 ( 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)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.50.0.2','0.23.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.1.2','L')]).
% 1.74/2.17 cnf('0.50.0.4',plain,
% 1.74/2.17 ( meet(X1,join(join(X1,X2),X1)) = join(X1,meet(meet(X1,meet(X1,join(join(X1,X2),X1))),X1)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.50.0.3','0.29.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.1','L')]).
% 1.74/2.17 cnf('0.50.0.5',plain,
% 1.74/2.17 ( meet(X1,join(join(X1,X2),X1)) = X1 ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.50.0.4','0.24.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.50.1.0',plain,
% 1.74/2.17 ( meet(X1,join(join(X1,X2),X1)) = X1 ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.50.0.5']),
% 1.74/2.17 [weight('<71,49,6,[0,0,0,7]>')]).
% 1.74/2.17 cnf('0.50.2.0',plain,
% 1.74/2.17 ( meet(X1,join(join(X1,X2),X1)) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_50]).
% 1.74/2.17 cnf('0.52.0.0',plain,
% 1.74/2.17 ( join(join(X1,X2),X1) = join(X1,join(join(X1,X2),X1)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.35.2.0','0.50.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.52.1.0',plain,
% 1.74/2.17 ( join(join(X1,X2),X1) = join(X1,join(join(X1,X2),X1)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.52.0.0']),
% 1.74/2.17 [weight('<103,50,35,[0,0,0,1]>')]).
% 1.74/2.17 cnf('0.52.2.0',plain,
% 1.74/2.17 ( join(X1,join(join(X1,X2),X1)) = join(join(X1,X2),X1) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_52]).
% 1.74/2.17 cnf('0.79.0.0',plain,
% 1.74/2.17 ( meet(meet(X1,join(X2,X1)),X3) = meet(X1,meet(meet(X1,join(X2,X1)),X3)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.40.2.0','0.19.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.79.1.0',plain,
% 1.74/2.17 ( meet(meet(X1,join(X2,X1)),X3) = meet(X1,meet(meet(X1,join(X2,X1)),X3)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.79.0.0']),
% 1.74/2.17 [weight('<169,40,19,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.79.2.0',plain,
% 1.74/2.17 ( meet(X1,meet(meet(X1,join(X2,X1)),X3)) = meet(meet(X1,join(X2,X1)),X3) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_79]).
% 1.74/2.17 cnf('0.80.0.0',plain,
% 1.74/2.17 ( 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)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.79.2.0','0.19.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.1.2','L')]).
% 1.74/2.17 cnf('0.80.0.1',plain,
% 1.74/2.17 ( meet(meet(meet(X1,join(X2,X1)),X1),X3) = meet(meet(X1,join(X2,X1)),meet(meet(meet(X1,join(X2,X1)),X1),X3)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.80.0.0','0.19.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.2','L')]).
% 1.74/2.17 cnf('0.80.0.2',plain,
% 1.74/2.17 ( meet(X1,X3) = meet(meet(X1,join(X2,X1)),meet(meet(meet(X1,join(X2,X1)),X1),X3)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.80.0.1','0.29.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.80.0.3',plain,
% 1.74/2.17 ( meet(X1,X3) = meet(meet(X1,join(X2,X1)),meet(X1,X3)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.80.0.2','0.29.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.2.1','L')]).
% 1.74/2.17 cnf('0.80.1.0',plain,
% 1.74/2.17 ( meet(X1,X3) = meet(meet(X1,join(X2,X1)),meet(X1,X3)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.80.0.3']),
% 1.74/2.17 [weight('<129,79,19,[1,0,0,5]>')]).
% 1.74/2.17 cnf('0.80.2.0',plain,
% 1.74/2.17 ( meet(meet(X1,join(X2,X1)),meet(X1,X3)) = meet(X1,X3) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_80]).
% 1.74/2.17 cnf('0.82.0.0',plain,
% 1.74/2.17 ( meet(X1,join(X2,X1)) = join(meet(X1,join(X1,join(X2,X1))),meet(meet(X1,join(X2,X1)),X1)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.6.2.0','0.80.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.82.0.1',plain,
% 1.74/2.17 ( meet(X1,join(X2,X1)) = join(meet(X1,join(X1,join(X2,X1))),X1) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.82.0.0','0.29.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.2','L')]).
% 1.74/2.17 cnf('0.82.1.0',plain,
% 1.74/2.17 ( meet(X1,join(X2,X1)) = join(meet(X1,join(X1,join(X2,X1))),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.82.0.1']),
% 1.74/2.17 [weight('<149,80,6,[0,0,0,1]>')]).
% 1.74/2.17 cnf('0.82.2.0',plain,
% 1.74/2.17 ( join(meet(X1,join(X1,join(X2,X1))),X1) = meet(X1,join(X2,X1)) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_82]).
% 1.74/2.17 cnf('0.83.0.0',plain,
% 1.74/2.17 ( 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))))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.52.2.0','0.82.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.1','L')]).
% 1.74/2.17 cnf('0.83.0.1',plain,
% 1.74/2.17 ( 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))))) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.83.0.0','0.82.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.83.0.2',plain,
% 1.74/2.17 ( X1 = join(meet(X1,join(X1,join(X2,X1))),join(meet(X1,join(X2,X1)),meet(X1,join(X1,join(X2,X1))))) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.83.0.1','0.5.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.83.0.3',plain,
% 1.74/2.17 ( X1 = join(meet(X1,join(X1,join(X2,X1))),X1) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.83.0.2','0.5.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.2','L')]).
% 1.74/2.17 cnf('0.83.0.4',plain,
% 1.74/2.17 ( X1 = meet(X1,join(X2,X1)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.83.0.3','0.82.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.83.1.0',plain,
% 1.74/2.17 ( X1 = meet(X1,join(X2,X1)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.83.0.4']),
% 1.74/2.17 [weight('<41,82,52,[0,0,0,3]>')]).
% 1.74/2.17 cnf('0.83.2.0',plain,
% 1.74/2.17 ( meet(X1,join(X2,X1)) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_83]).
% 1.74/2.17 cnf('0.84.0.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(X1,X2),X2) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.24.2.0','0.83.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.84.1.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(X1,X2),X2) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.84.0.0']),
% 1.74/2.17 [weight('<53,83,24,[0,0,0,2]>')]).
% 1.74/2.17 cnf('0.84.2.0',plain,
% 1.74/2.17 ( join(join(X1,X2),X2) = join(X1,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_84]).
% 1.74/2.17 cnf('0.85.0.0',plain,
% 1.74/2.17 ( join(X1,join(join(X2,X1),X1)) = join(join(X2,X1),X1) ),
% 1.74/2.17 inference(interreduction_right,[status(thm)],['0.48.2.0'])).
% 1.74/2.17 cnf('0.85.0.1',plain,
% 1.74/2.17 ( join(X1,join(X2,X1)) = join(join(X2,X1),X1) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.85.0.0','0.84.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.85.0.2',plain,
% 1.74/2.17 ( join(X1,join(X2,X1)) = join(X2,X1) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.85.0.1','0.84.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.85.1.0',plain,
% 1.74/2.17 ( join(X1,join(X2,X1)) = join(X2,X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.85.0.2']),
% 1.74/2.17 [weight('<53,48,84,[0,0,0,0]>')]).
% 1.74/2.17 cnf('0.85.2.0',plain,
% 1.74/2.17 ( join(X1,join(X2,X1)) = join(X2,X1) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_85]).
% 1.74/2.17 cnf('0.89.0.0',plain,
% 1.74/2.17 ( join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) = join(meet(X1,X2),meet(meet(X1,X2),X1)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.84.2.0','0.6.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.89.0.1',plain,
% 1.74/2.17 ( meet(X1,X2) = join(meet(X1,X2),meet(meet(X1,X2),X1)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.89.0.0','0.6.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.89.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = join(meet(X1,X2),meet(meet(X1,X2),X1)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.89.0.1']),
% 1.74/2.17 [weight('<129,84,6,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.89.2.0',plain,
% 1.74/2.17 ( join(meet(X1,X2),meet(meet(X1,X2),X1)) = meet(X1,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_89]).
% 1.74/2.17 cnf('0.91.0.0',plain,
% 1.74/2.17 ( meet(join(X1,join(X2,X3)),X3) = join(X3,meet(meet(join(X1,join(X2,X3)),X3),join(X1,join(X2,X3)))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.89.2.0','0.41.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.91.0.1',plain,
% 1.74/2.17 ( X3 = join(X3,meet(meet(join(X1,join(X2,X3)),X3),join(X1,join(X2,X3)))) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.91.0.0','0.41.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.91.0.2',plain,
% 1.74/2.17 ( X3 = join(X3,meet(X3,join(X1,join(X2,X3)))) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.91.0.1','0.41.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.2.1','L')]).
% 1.74/2.17 cnf('0.91.1.0',plain,
% 1.74/2.17 ( X3 = join(X3,meet(X3,join(X1,join(X2,X3)))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.91.0.2']),
% 1.74/2.17 [weight('<109,89,41,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.91.2.0',plain,
% 1.74/2.17 ( join(X1,meet(X1,join(X2,join(X3,X1)))) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.91.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_91]).
% 1.74/2.17 cnf('0.93.0.0',plain,
% 1.74/2.17 ( X1 = join(meet(X1,meet(X1,join(X2,join(X3,X1)))),meet(X1,X1)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.5.2.0','0.91.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.2','L')]).
% 1.74/2.17 cnf('0.93.0.1',plain,
% 1.74/2.17 ( X1 = join(meet(X1,join(X2,join(X3,X1))),meet(X1,X1)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.93.0.0','0.38.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.1','L')]).
% 1.74/2.17 cnf('0.93.0.2',plain,
% 1.74/2.17 ( X1 = join(meet(X1,join(X2,join(X3,X1))),X1) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.93.0.1','0.23.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.2','L')]).
% 1.74/2.17 cnf('0.93.1.0',plain,
% 1.74/2.17 ( X1 = join(meet(X1,join(X2,join(X3,X1))),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.93.0.2']),
% 1.74/2.17 [weight('<109,91,5,[0,0,0,6]>')]).
% 1.74/2.17 cnf('0.93.2.0',plain,
% 1.74/2.17 ( join(meet(X1,join(X2,join(X3,X1))),X1) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_93]).
% 1.74/2.17 cnf('0.94.0.0',plain,
% 1.74/2.17 ( join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) = join(meet(meet(X1,X2),X1),meet(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.85.2.0','0.6.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.94.0.1',plain,
% 1.74/2.17 ( meet(X1,X2) = join(meet(meet(X1,X2),X1),meet(X1,X2)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.94.0.0','0.6.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.94.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = join(meet(meet(X1,X2),X1),meet(X1,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.94.0.1']),
% 1.74/2.17 [weight('<129,85,6,[1,0,0,2]>')]).
% 1.74/2.17 cnf('0.94.2.0',plain,
% 1.74/2.17 ( join(meet(meet(X1,X2),X1),meet(X1,X2)) = meet(X1,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_94]).
% 1.74/2.17 cnf('0.96.0.0',plain,
% 1.74/2.17 ( X1 = meet(meet(join(X2,join(X3,X1)),join(X4,X1)),X1) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.20.2.0','0.85.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.1.2','L')]).
% 1.74/2.17 cnf('0.96.1.0',plain,
% 1.74/2.17 ( X1 = meet(meet(join(X2,join(X3,X1)),join(X4,X1)),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.96.0.0']),
% 1.74/2.17 [weight('<155,85,20,[0,0,0,4]>')]).
% 1.74/2.17 cnf('0.96.2.0',plain,
% 1.74/2.17 ( meet(meet(join(X1,join(X2,X3)),join(X4,X3)),X3) = X3 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_96]).
% 1.74/2.17 cnf('0.97.0.0',plain,
% 1.74/2.17 ( 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)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.13.2.0','0.96.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.1','L')]).
% 1.74/2.17 cnf('0.97.0.1',plain,
% 1.74/2.17 ( 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)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.97.0.0','0.96.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.97.0.2',plain,
% 1.74/2.17 ( 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)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.97.0.1','0.40.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.1','L')]).
% 1.74/2.17 cnf('0.97.0.3',plain,
% 1.74/2.17 ( 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)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.97.0.2','0.96.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.2.1','L')]).
% 1.74/2.17 cnf('0.97.0.4',plain,
% 1.74/2.17 ( 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) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.97.0.3','0.33.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.2','L')]).
% 1.74/2.17 cnf('0.97.0.5',plain,
% 1.74/2.17 ( join(join(meet(X3,X4),meet(X4,X5)),X4) = X4 ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.97.0.4','0.93.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.97.1.0',plain,
% 1.74/2.17 ( join(join(meet(X3,X4),meet(X4,X5)),X4) = X4 ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.97.0.5']),
% 1.74/2.17 [weight('<109,96,13,[0,0,0,2]>')]).
% 1.74/2.17 cnf('0.97.2.0',plain,
% 1.74/2.17 ( join(join(meet(X1,X2),meet(X2,X3)),X2) = X2 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_97]).
% 1.74/2.17 cnf('0.98.0.0',plain,
% 1.74/2.17 ( X1 = join(meet(X1,X2),X1) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.97.2.0','0.94.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.98.1.0',plain,
% 1.74/2.17 ( X1 = join(meet(X1,X2),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.98.0.0']),
% 1.74/2.17 [weight('<41,97,94,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.98.2.0',plain,
% 1.74/2.17 ( join(meet(X1,X2),X1) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_98]).
% 1.74/2.17 cnf('0.99.0.0',plain,
% 1.74/2.17 ( meet(X1,X2) = join(meet(meet(X1,X2),X1),meet(meet(X1,X2),X1)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.5.2.0','0.98.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.2','L')]).
% 1.74/2.17 cnf('0.99.0.1',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.99.0.0','0.22.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.99.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.99.0.1']),
% 1.74/2.17 [weight('<53,98,5,[0,0,0,6]>')]).
% 1.74/2.17 cnf('0.99.2.0',plain,
% 1.74/2.17 ( meet(meet(X1,X2),X1) = meet(X1,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_99]).
% 1.74/2.17 cnf('0.100.0.0',plain,
% 1.74/2.17 ( X1 = join(X1,meet(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.24.2.0','0.99.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.100.1.0',plain,
% 1.74/2.17 ( X1 = join(X1,meet(X1,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.100.0.0']),
% 1.74/2.17 [weight('<41,99,24,[0,0,0,2]>')]).
% 1.74/2.17 cnf('0.100.2.0',plain,
% 1.74/2.17 ( join(X1,meet(X1,X2)) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_100]).
% 1.74/2.17 cnf('0.101.0.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),X1) = meet(X1,join(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.99.2.0','0.37.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.101.0.1',plain,
% 1.74/2.17 ( X1 = meet(X1,join(X1,X2)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.101.0.0','0.37.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.101.1.0',plain,
% 1.74/2.17 ( X1 = meet(X1,join(X1,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.101.0.1']),
% 1.74/2.17 [weight('<41,99,37,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.101.2.0',plain,
% 1.74/2.17 ( meet(X1,join(X1,X2)) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_101]).
% 1.74/2.17 cnf('0.103.0.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(X1,X2),X1) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.100.2.0','0.37.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.103.1.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(X1,X2),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.103.0.0']),
% 1.74/2.17 [weight('<53,100,37,[1,0,0,2]>')]).
% 1.74/2.17 cnf('0.103.2.0',plain,
% 1.74/2.17 ( join(join(X1,X2),X1) = join(X1,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_103]).
% 1.74/2.17 cnf('0.104.0.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(meet(join(X3,join(meet(X1,X2),X4)),X2),meet(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.20.2.0','0.24.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.2','L')]).
% 1.74/2.17 cnf('0.104.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(meet(join(X3,join(meet(X1,X2),X4)),X2),meet(X1,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.104.0.0']),
% 1.74/2.17 [weight('<?,24,20,[0,0,0,7]>')]).
% 1.74/2.17 cnf('0.104.2.0',plain,
% 1.74/2.17 ( meet(meet(join(X1,join(meet(X2,X3),X4)),X3),meet(X2,X3)) = meet(X2,X3) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_104]).
% 1.74/2.17 cnf('0.106.0.0',plain,
% 1.74/2.17 ( X1 = join(meet(X2,meet(X3,X1)),X1) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.98.2.0','0.44.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.106.1.0',plain,
% 1.74/2.17 ( X1 = join(meet(X2,meet(X3,X1)),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.106.0.0']),
% 1.74/2.17 [weight('<71,98,44,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.106.2.0',plain,
% 1.74/2.17 ( join(meet(X1,meet(X2,X3)),X3) = X3 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_106]).
% 1.74/2.17 cnf('0.107.0.0',plain,
% 1.74/2.17 ( meet(join(X1,join(X2,X3)),X2) = meet(X2,join(X1,join(X2,X3))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.99.2.0','0.39.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.107.0.1',plain,
% 1.74/2.17 ( X2 = meet(X2,join(X1,join(X2,X3))) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.107.0.0','0.39.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.107.1.0',plain,
% 1.74/2.17 ( X2 = meet(X2,join(X1,join(X2,X3))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.107.0.1']),
% 1.74/2.17 [weight('<71,99,39,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.107.2.0',plain,
% 1.74/2.17 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_107]).
% 1.74/2.17 cnf('0.114.0.0',plain,
% 1.74/2.17 ( X1 = join(meet(X2,meet(X1,X3)),X1) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.106.2.0','0.99.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.2','L')]).
% 1.74/2.17 cnf('0.114.1.0',plain,
% 1.74/2.17 ( X1 = join(meet(X2,meet(X1,X3)),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.114.0.0']),
% 1.74/2.17 [weight('<71,106,99,[1,0,0,3]>')]).
% 1.74/2.17 cnf('0.114.2.0',plain,
% 1.74/2.17 ( join(meet(X1,meet(X2,X3)),X2) = X2 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_114]).
% 1.74/2.17 cnf('0.115.0.0',plain,
% 1.74/2.17 ( X1 = meet(X1,join(join(X1,X2),X3)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.107.2.0','0.103.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.115.1.0',plain,
% 1.74/2.17 ( X1 = meet(X1,join(join(X1,X2),X3)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.115.0.0']),
% 1.74/2.17 [weight('<71,107,103,[1,0,0,2]>')]).
% 1.74/2.17 cnf('0.115.2.0',plain,
% 1.74/2.17 ( meet(X1,join(join(X1,X2),X3)) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_115]).
% 1.74/2.17 cnf('0.124.0.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(X1,X2),meet(X3,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.100.2.0','0.42.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.124.1.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(X1,X2),meet(X3,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.124.0.0']),
% 1.74/2.17 [weight('<87,100,42,[1,0,0,2]>')]).
% 1.74/2.17 cnf('0.124.2.0',plain,
% 1.74/2.17 ( join(join(X1,X2),meet(X3,X2)) = join(X1,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.124.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_124]).
% 1.74/2.17 cnf('0.147.0.0',plain,
% 1.74/2.17 ( X1 = join(join(meet(X2,X1),meet(X3,X1)),X1) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.97.2.0','0.34.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.2','L')]).
% 1.74/2.17 cnf('0.147.1.0',plain,
% 1.74/2.17 ( X1 = join(join(meet(X2,X1),meet(X3,X1)),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.147.0.0']),
% 1.74/2.17 [weight('<109,97,34,[1,0,0,5]>')]).
% 1.74/2.17 cnf('0.147.2.0',plain,
% 1.74/2.17 ( join(join(meet(X1,X2),meet(X3,X2)),X2) = X2 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_147]).
% 1.74/2.17 cnf('0.160.0.0',plain,
% 1.74/2.17 ( join(join(meet(X1,X2),meet(X2,X3)),X2) = join(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.103.2.0','0.97.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.160.0.1',plain,
% 1.74/2.17 ( X2 = join(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.160.0.0','0.97.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.160.1.0',plain,
% 1.74/2.17 ( X2 = join(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.160.0.1']),
% 1.74/2.17 [weight('<109,103,97,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.160.2.0',plain,
% 1.74/2.17 ( join(X1,join(meet(X2,X1),meet(X1,X3))) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_160]).
% 1.74/2.17 cnf('0.186.0.0',plain,
% 1.74/2.17 ( join(join(meet(X1,X2),meet(X3,X2)),X2) = join(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.103.2.0','0.147.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.186.0.1',plain,
% 1.74/2.17 ( X2 = join(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.186.0.0','0.147.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.186.1.0',plain,
% 1.74/2.17 ( X2 = join(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.186.0.1']),
% 1.74/2.17 [weight('<109,147,103,[0,0,0,1]>')]).
% 1.74/2.17 cnf('0.186.2.0',plain,
% 1.74/2.17 ( join(X1,join(meet(X2,X1),meet(X3,X1))) = X1 ),
% 1.74/2.17 inference(orient,[status(thm)],['0.186.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_186]).
% 1.74/2.17 cnf('0.201.0.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(meet(join(X3,X1),X2),meet(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.104.2.0','0.98.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.1.2','L')]).
% 1.74/2.17 cnf('0.201.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(meet(join(X3,X1),X2),meet(X1,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.201.0.0']),
% 1.74/2.17 [weight('<129,104,98,[1,0,0,4]>')]).
% 1.74/2.17 cnf('0.201.2.0',plain,
% 1.74/2.17 ( meet(meet(join(X1,X2),X3),meet(X2,X3)) = meet(X2,X3) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.201.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_201]).
% 1.74/2.17 cnf('0.206.0.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(meet(X2,join(X3,meet(X1,X2))),meet(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.32.2.0','0.24.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.1','L')]).
% 1.74/2.17 cnf('0.206.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(meet(X2,join(X3,meet(X1,X2))),meet(X1,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.206.0.0']),
% 1.74/2.17 [weight('<?,32,24,[1,0,0,2]>')]).
% 1.74/2.17 cnf('0.206.2.0',plain,
% 1.74/2.17 ( meet(meet(X1,join(X2,meet(X3,X1))),meet(X3,X1)) = meet(X3,X1) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.206.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_206]).
% 1.74/2.17 cnf('0.207.0.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(meet(X2,X1),meet(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.206.2.0','0.100.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.2','L')]).
% 1.74/2.17 cnf('0.207.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(meet(X2,X1),meet(X1,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.207.0.0']),
% 1.74/2.17 [weight('<87,206,100,[1,0,0,3]>')]).
% 1.74/2.17 cnf('0.207.2.0',plain,
% 1.74/2.17 ( meet(meet(X1,X2),meet(X2,X1)) = meet(X2,X1) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.207.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_207]).
% 1.74/2.17 cnf('0.208.0.0',plain,
% 1.74/2.17 ( meet(meet(X1,X2),meet(X2,X1)) = meet(meet(X2,X1),meet(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.99.2.0','0.207.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.208.0.1',plain,
% 1.74/2.17 ( meet(X2,X1) = meet(meet(X2,X1),meet(X1,X2)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.208.0.0','0.207.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.208.0.2',plain,
% 1.74/2.17 ( meet(X2,X1) = meet(X1,X2) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.208.0.1','0.207.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.208.1.0',plain,
% 1.74/2.17 ( meet(X2,X1) = meet(X1,X2) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.208.0.2']),
% 1.74/2.17 [weight('<48,207,99,[0,0,0,1]>')]).
% 1.74/2.17 cnf('0.208.2.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(X2,X1) ),
% 1.74/2.17 inference(activate,[status(thm)],['0.208.1.0']),
% 1.74/2.17 [equation_1]).
% 1.74/2.17 cnf('0.226.0.0',plain,
% 1.74/2.17 ( meet(meet(join(X1,X2),X3),meet(X2,X3)) = meet(X2,X3) ),
% 1.74/2.17 inference(interreduction_right,[status(thm)],['0.201.2.0'])).
% 1.74/2.17 cnf('0.226.1.0',plain,
% 1.74/2.17 ( meet(meet(join(X1,X2),X3),meet(X2,X3)) = meet(X2,X3) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.226.0.0']),
% 1.74/2.17 [weight('<129,201,208,[0,0,0,0]>')]).
% 1.74/2.17 cnf('0.226.1.1',plain,
% 1.74/2.17 ( meet(meet(X2,X3),meet(join(X1,X2),X3)) = meet(X2,X3) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.226.1.0','0.208.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.226.2.0',plain,
% 1.74/2.17 ( meet(meet(X1,X2),meet(join(X3,X1),X2)) = meet(X1,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.226.1.1',theory(equality)]),
% 1.74/2.17 [u,rule_225]).
% 1.74/2.17 cnf('0.229.0.0',plain,
% 1.74/2.17 ( meet(X1,X2) = join(meet(X3,meet(X2,X1)),meet(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.114.2.0','0.207.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.2','L')]).
% 1.74/2.17 cnf('0.229.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = join(meet(X3,meet(X2,X1)),meet(X1,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.229.0.0']),
% 1.74/2.17 [weight('<129,207,114,[0,0,0,3]>')]).
% 1.74/2.17 cnf('0.229.2.0',plain,
% 1.74/2.17 ( join(meet(X1,meet(X2,X3)),meet(X3,X2)) = meet(X3,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.229.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_228]).
% 1.74/2.17 cnf('0.233.0.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(meet(X1,X2),meet(join(X1,X3),X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.226.2.0','0.103.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.1','L')]).
% 1.74/2.17 cnf('0.233.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(meet(X1,X2),meet(join(X1,X3),X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.233.0.0']),
% 1.74/2.17 [weight('<129,226,103,[1,0,0,5]>')]).
% 1.74/2.17 cnf('0.233.2.0',plain,
% 1.74/2.17 ( meet(meet(X1,X2),meet(join(X1,X3),X2)) = meet(X1,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.233.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_232]).
% 1.74/2.17 cnf('0.236.0.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(meet(X2,X1),meet(join(X1,X3),X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.233.2.0','0.208.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.236.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = meet(meet(X2,X1),meet(join(X1,X3),X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.236.0.0']),
% 1.74/2.17 [weight('<129,233,208,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.236.2.0',plain,
% 1.74/2.17 ( meet(meet(X1,X2),meet(join(X2,X3),X1)) = meet(X2,X1) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.236.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_235]).
% 1.74/2.17 cnf('0.277.0.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.24.2.0','0.226.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.277.1.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.277.0.0']),
% 1.74/2.17 [weight('<149,226,24,[0,0,0,2]>')]).
% 1.74/2.17 cnf('0.277.2.0',plain,
% 1.74/2.17 ( join(meet(join(X1,X2),X3),meet(X2,X3)) = meet(join(X1,X2),X3) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.277.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_276]).
% 1.74/2.17 cnf('0.278.0.0',plain,
% 1.74/2.17 ( meet(join(X1,meet(X2,X1)),X3) = join(meet(X1,X3),meet(meet(X2,X1),X3)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.277.2.0','0.24.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.1','L')]).
% 1.74/2.17 cnf('0.278.0.1',plain,
% 1.74/2.17 ( meet(X1,X3) = join(meet(X1,X3),meet(meet(X2,X1),X3)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.278.0.0','0.24.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.278.1.0',plain,
% 1.74/2.17 ( meet(X1,X3) = join(meet(X1,X3),meet(meet(X2,X1),X3)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.278.0.1']),
% 1.74/2.17 [weight('<129,277,24,[1,0,0,2]>')]).
% 1.74/2.17 cnf('0.278.2.0',plain,
% 1.74/2.17 ( join(meet(X1,X2),meet(meet(X3,X1),X2)) = meet(X1,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.278.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_277]).
% 1.74/2.17 cnf('0.280.0.0',plain,
% 1.74/2.17 ( join(meet(X1,X2),meet(meet(X3,X1),X2)) = join(meet(meet(X3,X1),X2),meet(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.85.2.0','0.278.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.280.0.1',plain,
% 1.74/2.17 ( meet(X1,X2) = join(meet(meet(X3,X1),X2),meet(X1,X2)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.280.0.0','0.278.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.280.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = join(meet(meet(X3,X1),X2),meet(X1,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.280.0.1']),
% 1.74/2.17 [weight('<129,278,85,[0,0,0,2]>')]).
% 1.74/2.17 cnf('0.280.2.0',plain,
% 1.74/2.17 ( join(meet(meet(X1,X2),X3),meet(X2,X3)) = meet(X2,X3) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.280.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_279]).
% 1.74/2.17 cnf('0.281.0.0',plain,
% 1.74/2.17 ( meet(X1,X2) = join(meet(X2,X1),meet(meet(X3,X1),X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.278.2.0','0.208.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.281.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = join(meet(X2,X1),meet(meet(X3,X1),X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.281.0.0']),
% 1.74/2.17 [weight('<129,278,208,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.281.2.0',plain,
% 1.74/2.17 ( join(meet(X1,X2),meet(meet(X3,X2),X1)) = meet(X2,X1) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.281.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_280]).
% 1.74/2.17 cnf('0.288.0.0',plain,
% 1.74/2.17 ( meet(X1,X2) = join(meet(meet(X3,X1),X2),meet(X2,X1)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.280.2.0','0.208.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.288.1.0',plain,
% 1.74/2.17 ( meet(X1,X2) = join(meet(meet(X3,X1),X2),meet(X2,X1)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.288.0.0']),
% 1.74/2.17 [weight('<129,280,208,[1,0,0,6]>')]).
% 1.74/2.17 cnf('0.288.2.0',plain,
% 1.74/2.17 ( join(meet(meet(X1,X2),X3),meet(X3,X2)) = meet(X2,X3) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.288.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_287]).
% 1.74/2.17 cnf('0.290.0.0',plain,
% 1.74/2.17 ( meet(X1,meet(join(X1,X2),X3)) = join(meet(X1,X3),meet(meet(join(X1,X2),X3),X1)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.288.2.0','0.236.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.290.0.1',plain,
% 1.74/2.17 ( meet(X1,meet(join(X1,X2),X3)) = meet(X3,X1) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.290.0.0','0.281.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.290.1.0',plain,
% 1.74/2.17 ( meet(X1,meet(join(X1,X2),X3)) = meet(X3,X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.290.0.1']),
% 1.74/2.17 [weight('<87,288,236,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.290.2.0',plain,
% 1.74/2.17 ( meet(X1,meet(join(X1,X2),X3)) = meet(X3,X1) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.290.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_289]).
% 1.74/2.17 cnf('0.320.0.0',plain,
% 1.74/2.17 ( join(meet(join(X1,X2),X3),meet(X2,X3)) = join(meet(X2,X3),meet(join(X1,X2),X3)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.85.2.0','0.277.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.320.0.1',plain,
% 1.74/2.17 ( meet(join(X1,X2),X3) = join(meet(X2,X3),meet(join(X1,X2),X3)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.320.0.0','0.277.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.320.1.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),X3) = join(meet(X2,X3),meet(join(X1,X2),X3)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.320.0.1']),
% 1.74/2.17 [weight('<149,277,85,[0,0,0,2]>')]).
% 1.74/2.17 cnf('0.320.2.0',plain,
% 1.74/2.17 ( join(meet(X1,X2),meet(join(X3,X1),X2)) = meet(join(X3,X1),X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.320.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_316]).
% 1.74/2.17 cnf('0.329.0.0',plain,
% 1.74/2.17 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,join(X2,X3))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.229.2.0','0.290.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.329.1.0',plain,
% 1.74/2.17 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,join(X2,X3))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.329.0.0']),
% 1.74/2.17 [weight('<149,290,229,[0,0,0,1]>')]).
% 1.74/2.17 cnf('0.329.2.0',plain,
% 1.74/2.17 ( join(meet(X1,X2),meet(X1,join(X2,X3))) = meet(X1,join(X2,X3)) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.329.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_325]).
% 1.74/2.17 cnf('0.334.0.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),X3) = join(meet(X2,X3),meet(X3,join(X1,X2))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.320.2.0','0.208.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.334.1.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),X3) = join(meet(X2,X3),meet(X3,join(X1,X2))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.334.0.0']),
% 1.74/2.17 [weight('<149,320,208,[1,0,0,4]>')]).
% 1.74/2.17 cnf('0.334.2.0',plain,
% 1.74/2.17 ( join(meet(X1,X2),meet(X2,join(X3,X1))) = meet(join(X3,X1),X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.334.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_330]).
% 1.74/2.17 cnf('0.336.0.0',plain,
% 1.74/2.17 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,join(X2,X3))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.329.2.0','0.208.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.336.1.0',plain,
% 1.74/2.17 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,join(X2,X3))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.336.0.0']),
% 1.74/2.17 [weight('<149,329,208,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.336.2.0',plain,
% 1.74/2.17 ( join(meet(X1,X2),meet(X2,join(X1,X3))) = meet(X2,join(X1,X3)) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.336.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_332]).
% 1.74/2.17 cnf('0.454.0.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(X2,meet(X3,join(X1,X2))),join(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.147.2.0','0.83.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.1','L')]).
% 1.74/2.17 cnf('0.454.1.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(X2,meet(X3,join(X1,X2))),join(X1,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.454.0.0']),
% 1.74/2.17 [weight('<179,147,83,[1,0,0,2]>')]).
% 1.74/2.17 cnf('0.454.2.0',plain,
% 1.74/2.17 ( join(join(X1,meet(X2,join(X3,X1))),join(X3,X1)) = join(X3,X1) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.454.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_445]).
% 1.74/2.17 cnf('0.455.0.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(X2,X1),join(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.454.2.0','0.101.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1.2','L')]).
% 1.74/2.17 cnf('0.455.1.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(X2,X1),join(X1,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.455.0.0']),
% 1.74/2.17 [weight('<87,454,101,[1,0,0,3]>')]).
% 1.74/2.17 cnf('0.455.2.0',plain,
% 1.74/2.17 ( join(join(X1,X2),join(X2,X1)) = join(X2,X1) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.455.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_446]).
% 1.74/2.17 cnf('0.456.0.0',plain,
% 1.74/2.17 ( join(join(X1,X2),join(X2,X1)) = join(join(X2,X1),join(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.103.2.0','0.455.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.456.0.1',plain,
% 1.74/2.17 ( join(X2,X1) = join(join(X2,X1),join(X1,X2)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.456.0.0','0.455.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.456.0.2',plain,
% 1.74/2.17 ( join(X2,X1) = join(X1,X2) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.456.0.1','0.455.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.456.1.0',plain,
% 1.74/2.17 ( join(X2,X1) = join(X1,X2) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.456.0.2']),
% 1.74/2.17 [weight('<48,455,103,[0,0,0,1]>')]).
% 1.74/2.17 cnf('0.456.2.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(X2,X1) ),
% 1.74/2.17 inference(activate,[status(thm)],['0.456.1.0']),
% 1.74/2.17 [equation_10]).
% 1.74/2.17 cnf('0.458.0.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),X3) = join(meet(X2,X3),meet(X3,join(X2,X1))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.334.2.0','0.456.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.2','L')]).
% 1.74/2.17 cnf('0.458.0.1',plain,
% 1.74/2.17 ( meet(join(X1,X2),X3) = meet(X3,join(X2,X1)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.458.0.0','0.336.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.458.1.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),X3) = meet(X3,join(X2,X1)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.458.0.1']),
% 1.74/2.17 [weight('<120,456,334,[0,0,0,6]>')]).
% 1.74/2.17 cnf('0.458.2.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),X3) = meet(X3,join(X2,X1)) ),
% 1.74/2.17 inference(activate,[status(thm)],['0.458.1.0']),
% 1.74/2.17 [equation_11]).
% 1.74/2.17 cnf('0.459.0.0',plain,
% 1.74/2.17 ( join(X1,X2) = meet(join(X1,X2),join(X3,join(X2,X1))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.107.2.0','0.455.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.2','L')]).
% 1.74/2.17 cnf('0.459.1.0',plain,
% 1.74/2.17 ( join(X1,X2) = meet(join(X1,X2),join(X3,join(X2,X1))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.459.0.0']),
% 1.74/2.17 [weight('<129,455,107,[0,0,0,4]>')]).
% 1.74/2.17 cnf('0.459.2.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),join(X3,join(X2,X1))) = join(X1,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.459.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_448]).
% 1.74/2.17 cnf('0.472.0.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(X1,X2),join(X2,meet(join(X1,X2),X3))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.160.2.0','0.83.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.1','L')]).
% 1.74/2.17 cnf('0.472.1.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(X1,X2),join(X2,meet(join(X1,X2),X3))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.472.0.0']),
% 1.74/2.17 [weight('<179,160,83,[1,0,0,3]>')]).
% 1.74/2.17 cnf('0.472.2.0',plain,
% 1.74/2.17 ( join(join(X1,X2),join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.472.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_461]).
% 1.74/2.17 cnf('0.490.0.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(X1,X2),join(X2,meet(X3,join(X1,X2)))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.186.2.0','0.83.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.1','L')]).
% 1.74/2.17 cnf('0.490.1.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(X1,X2),join(X2,meet(X3,join(X1,X2)))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.490.0.0']),
% 1.74/2.17 [weight('<179,186,83,[1,0,0,3]>')]).
% 1.74/2.17 cnf('0.490.2.0',plain,
% 1.74/2.17 ( join(join(X1,X2),join(X2,meet(X3,join(X1,X2)))) = join(X1,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.490.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_479]).
% 1.74/2.17 cnf('0.491.0.0',plain,
% 1.74/2.17 ( join(join(X1,X2),X3) = join(join(join(X1,X2),X3),join(X3,X1)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.490.2.0','0.115.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.2','L')]).
% 1.74/2.17 cnf('0.491.1.0',plain,
% 1.74/2.17 ( join(join(X1,X2),X3) = join(join(join(X1,X2),X3),join(X3,X1)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.491.0.0']),
% 1.74/2.17 [weight('<149,490,115,[1,0,0,6]>')]).
% 1.74/2.17 cnf('0.491.1.1',plain,
% 1.74/2.17 ( join(join(X1,X2),X3) = join(join(X3,X1),join(join(X1,X2),X3)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.491.1.0','0.456.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.491.2.0',plain,
% 1.74/2.17 ( join(join(X1,X2),join(join(X2,X3),X1)) = join(join(X2,X3),X1) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.491.1.1',theory(equality)]),
% 1.74/2.17 [x,rule_480]).
% 1.74/2.17 cnf('0.494.0.0',plain,
% 1.74/2.17 ( join(join(X1,X2),meet(X3,X2)) = join(join(meet(X3,X2),X1),join(X1,X2)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.491.2.0','0.124.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.494.0.1',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(meet(X3,X2),X1),join(X1,X2)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.494.0.0','0.124.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.494.1.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(meet(X3,X2),X1),join(X1,X2)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.494.0.1']),
% 1.74/2.17 [weight('<129,491,124,[1,0,0,4]>')]).
% 1.74/2.17 cnf('0.494.1.1',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(X1,X2),join(meet(X3,X2),X1)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.494.1.0','0.456.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.494.2.0',plain,
% 1.74/2.17 ( join(join(X1,X2),join(meet(X3,X2),X1)) = join(X1,X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.494.1.1',theory(equality)]),
% 1.74/2.17 [x,rule_483]).
% 1.74/2.17 cnf('0.509.0.0',plain,
% 1.74/2.17 ( join(join(X1,X2),X3) = join(join(X1,X3),join(join(X1,X2),X3)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.491.2.0','0.456.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.509.1.0',plain,
% 1.74/2.17 ( join(join(X1,X2),X3) = join(join(X1,X3),join(join(X1,X2),X3)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.509.0.0']),
% 1.74/2.17 [weight('<149,491,456,[1,0,0,1]>')]).
% 1.74/2.17 cnf('0.509.2.0',plain,
% 1.74/2.17 ( join(join(X1,X2),join(join(X1,X3),X2)) = join(join(X1,X3),X2) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.509.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_498]).
% 1.74/2.17 cnf('0.510.0.0',plain,
% 1.74/2.17 ( join(join(X1,X2),X3) = join(join(X3,X1),join(X3,join(X1,X2))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.491.2.0','0.456.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.510.1.0',plain,
% 1.74/2.17 ( join(join(X1,X2),X3) = join(join(X3,X1),join(X3,join(X1,X2))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.510.0.0']),
% 1.74/2.17 [weight('<149,491,456,[1,0,0,4]>')]).
% 1.74/2.17 cnf('0.510.2.0',plain,
% 1.74/2.17 ( join(join(X1,X2),join(X1,join(X2,X3))) = join(join(X2,X3),X1) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.510.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_499]).
% 1.74/2.17 cnf('0.516.0.0',plain,
% 1.74/2.17 ( join(X1,join(X2,X3)) = join(join(X1,join(X2,X3)),join(X2,X1)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.494.2.0','0.101.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.1','L')]).
% 1.74/2.17 cnf('0.516.1.0',plain,
% 1.74/2.17 ( join(X1,join(X2,X3)) = join(join(X1,join(X2,X3)),join(X2,X1)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.516.0.0']),
% 1.74/2.17 [weight('<149,494,101,[1,0,0,5]>')]).
% 1.74/2.17 cnf('0.516.1.1',plain,
% 1.74/2.17 ( join(X1,join(X2,X3)) = join(join(X2,X1),join(X1,join(X2,X3))) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.516.1.0','0.456.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.516.2.0',plain,
% 1.74/2.17 ( join(join(X1,X2),join(X2,join(X1,X3))) = join(X2,join(X1,X3)) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.516.1.1',theory(equality)]),
% 1.74/2.17 [x,rule_505]).
% 1.74/2.17 cnf('0.517.0.0',plain,
% 1.74/2.17 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X1,X3)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.459.2.0','0.494.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.517.1.0',plain,
% 1.74/2.17 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X1,X3)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.517.0.0']),
% 1.74/2.17 [weight('<149,494,459,[0,0,0,4]>')]).
% 1.74/2.17 cnf('0.517.1.1',plain,
% 1.74/2.17 ( join(X1,meet(X2,X3)) = meet(join(X1,X3),join(meet(X2,X3),X1)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.517.1.0','0.458.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.517.2.0',plain,
% 1.74/2.17 ( meet(join(X1,X2),join(meet(X3,X2),X1)) = join(X1,meet(X3,X2)) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.517.1.1',theory(equality)]),
% 1.74/2.17 [x,rule_506]).
% 1.74/2.17 cnf('0.518.0.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(join(X1,X2),join(X2,join(X1,meet(X3,X2)))) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.472.2.0','0.517.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.2','L')]).
% 1.74/2.17 cnf('0.518.0.1',plain,
% 1.74/2.17 ( join(X1,X2) = join(X2,join(X1,meet(X3,X2))) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.518.0.0','0.516.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.518.1.0',plain,
% 1.74/2.17 ( join(X1,X2) = join(X2,join(X1,meet(X3,X2))) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.518.0.1']),
% 1.74/2.17 [weight('<87,517,472,[0,0,0,6]>')]).
% 1.74/2.17 cnf('0.518.2.0',plain,
% 1.74/2.17 ( join(X1,join(X2,meet(X3,X1))) = join(X2,X1) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.518.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_507]).
% 1.74/2.17 cnf('0.522.0.0',plain,
% 1.74/2.17 ( join(X1,join(X2,X3)) = join(join(X2,X3),join(X1,X3)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.518.2.0','0.83.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2.2','L')]).
% 1.74/2.17 cnf('0.522.1.0',plain,
% 1.74/2.17 ( join(X1,join(X2,X3)) = join(join(X2,X3),join(X1,X3)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.522.0.0']),
% 1.74/2.17 [weight('<103,518,83,[1,0,0,4]>')]).
% 1.74/2.17 cnf('0.522.2.0',plain,
% 1.74/2.17 ( join(join(X1,X2),join(X3,X2)) = join(X3,join(X1,X2)) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.522.1.0',theory(equality)]),
% 1.74/2.17 [x,rule_511]).
% 1.74/2.17 cnf('0.523.0.0',plain,
% 1.74/2.17 ( join(join(X1,X2),join(join(X1,X3),X2)) = join(join(X1,X3),X2) ),
% 1.74/2.17 inference(interreduction_right,[status(thm)],['0.509.2.0'])).
% 1.74/2.17 cnf('0.523.0.1',plain,
% 1.74/2.17 ( join(join(X1,X3),join(X1,X2)) = join(join(X1,X3),X2) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.523.0.0','0.522.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.523.1.0',plain,
% 1.74/2.17 ( join(join(X1,X3),join(X1,X2)) = join(join(X1,X3),X2) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.523.0.1']),
% 1.74/2.17 [weight('<103,509,522,[0,0,0,0]>')]).
% 1.74/2.17 cnf('0.523.2.0',plain,
% 1.74/2.17 ( join(join(X1,X2),join(X1,X3)) = join(join(X1,X2),X3) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.523.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_512]).
% 1.74/2.17 cnf('0.524.0.0',plain,
% 1.74/2.17 ( join(join(X1,X2),join(X1,join(X2,X3))) = join(join(X2,X3),X1) ),
% 1.74/2.17 inference(interreduction_right,[status(thm)],['0.510.2.0'])).
% 1.74/2.17 cnf('0.524.0.1',plain,
% 1.74/2.17 ( join(join(X1,X2),join(X2,X3)) = join(join(X2,X3),X1) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.524.0.0','0.523.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('0.524.1.0',plain,
% 1.74/2.17 ( join(join(X1,X2),join(X2,X3)) = join(join(X2,X3),X1) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.524.0.1']),
% 1.74/2.17 [weight('<103,510,523,[0,0,0,0]>')]).
% 1.74/2.17 cnf('0.524.2.0',plain,
% 1.74/2.17 ( join(join(X1,X2),join(X2,X3)) = join(join(X2,X3),X1) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.524.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_513]).
% 1.74/2.17 cnf('0.525.0.0',plain,
% 1.74/2.17 ( join(join(X1,join(X2,X1)),X3) = join(join(X3,X1),join(X2,X1)) ),
% 1.74/2.17 inference(cp,[status(thm)],['0.524.2.0','0.85.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.2','L')]).
% 1.74/2.17 cnf('0.525.0.1',plain,
% 1.74/2.17 ( join(join(X2,X1),X3) = join(join(X3,X1),join(X2,X1)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.525.0.0','0.85.2.0',theory(equality)]),
% 1.74/2.17 [pos('L.1','L')]).
% 1.74/2.17 cnf('0.525.0.2',plain,
% 1.74/2.17 ( join(join(X2,X1),X3) = join(X2,join(X3,X1)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['0.525.0.1','0.522.2.0',theory(equality)]),
% 1.74/2.17 [pos('R','L')]).
% 1.74/2.17 cnf('0.525.1.0',plain,
% 1.74/2.17 ( join(join(X2,X1),X3) = join(X2,join(X3,X1)) ),
% 1.74/2.17 inference(weigh,[status(thm)],['0.525.0.2']),
% 1.74/2.17 [weight('<65,524,85,[1,0,0,4]>')]).
% 1.74/2.17 cnf('0.525.2.0',plain,
% 1.74/2.17 ( join(join(X1,X2),X3) = join(X1,join(X3,X2)) ),
% 1.74/2.17 inference(orient,[status(thm)],['0.525.1.0',theory(equality)]),
% 1.74/2.17 [u,rule_514]).
% 1.74/2.17 cnf('1.0.0.0',conjecture,
% 1.74/2.17 ( join(join(a,b),c) = join(a,join(b,c)) ),
% 1.74/2.17 file('/tmp/WALDMEISTER_14758_n028',conjecture_1)).
% 1.74/2.17 cnf('1.0.0.1',plain,
% 1.74/2.17 ( join(join(a,b),c) = join(a,join(c,b)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['1.0.0.0','0.456.2.0',theory(equality)]),
% 1.74/2.17 [pos('R.2','L')]).
% 1.74/2.17 cnf('1.0.0.2',plain,
% 1.74/2.17 ( join(a,join(c,b)) = join(a,join(c,b)) ),
% 1.74/2.17 inference(reduction,[status(thm)],['1.0.0.1','0.525.2.0',theory(equality)]),
% 1.74/2.17 [pos('L','L')]).
% 1.74/2.17 cnf('1.0.0.3',plain,
% 1.74/2.17 ( $true ),
% 1.74/2.17 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 1.74/2.17 [conjecture_1]).
% 1.74/2.17
% 1.74/2.17 Proved Goals:
% 1.74/2.17 No. 1: join(join(a,b),c) ?= join(a,join(b,c)) joined, current: join(a,join(c,b)) = join(a,join(c,b))
% 1.74/2.17 1 goal was specified, which was proved.
% 1.74/2.17 % SZS output end CNFRefutation
% 1.74/2.17 #END OF PROOF
% 1.74/2.17
% 1.74/2.17 Problem WALDMEISTER_14758_n028
% 1.74/2.17 CPs.gen 171599
% 1.74/2.17 CPs.reexp 0
% 1.74/2.17 Select 14531
% 1.74/2.17 R 514
% 1.74/2.17 E 11
% 1.74/2.17 vsize 9.0M
% 1.74/2.17 rss 6.3M
% 1.74/2.17 process.time 1.190s
% 1.74/2.17 wallclock.time 1.190s
% 1.74/2.17 status S
% 1.74/2.17
% 1.74/2.17
% 1.74/2.17 Waldmeister states: Goal proved.
% 1.74/2.17 % SZS status Unsatisfiable
%------------------------------------------------------------------------------