%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT156-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 07:15:25 EDT 2022
% Result : Unsatisfiable 228.86s 229.22s
% Output : CNFRefutation 228.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT156-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : woody %s
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 29 05:33:46 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.67/1.04 ********************************************************************************
% 0.67/1.04 * W A L D M E I S T E R \| \ / \|/ *
% 0.67/1.04 * |/ | \/ | *
% 0.67/1.04 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.67/1.04 * A. Jaeger and B. Loechner | | *
% 0.67/1.04 * <waldmeister@informatik.uni-kl.de> | *
% 0.67/1.04 ********************************************************************************
% 0.67/1.04
% 0.67/1.04
% 0.67/1.04 Goals:
% 0.67/1.04 ------
% 0.67/1.04
% 0.67/1.04 ( 1) meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ?=? meet(a,join(b,meet(a,c)))
% 0.67/1.04
% 0.67/1.04 Detected structure: Verband
% 0.67/1.04 ********************************************************************************
% 0.67/1.04 ****************************** COMPLETION - PROOF ******************************
% 0.67/1.04 ********************************************************************************
% 0.67/1.04
% 228.86/229.22 joined goal: 1 meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ?= meet(a,join(b,meet(a,c))) to meet(a,join(b,meet(c,a)))
% 228.86/229.22 goal joined
% 228.86/229.22 % SZS status Unsatisfiable
% 228.86/229.22 #START OF PROOF
% 228.86/229.22 % SZS output start CNFRefutation
% 228.86/229.22 cnf('0.1.0.0',axiom,
% 228.86/229.22 ( X1 = meet(X1,X1) ),
% 228.86/229.22 file('/tmp/WALDMEISTER_6939_n020')).
% 228.86/229.22 cnf('0.1.1.0',plain,
% 228.86/229.22 ( X1 = meet(X1,X1) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.1.0.0']),
% 228.86/229.22 [weight('<0,0,0,[0,0,0,1]>')]).
% 228.86/229.22 cnf('0.1.2.0',plain,
% 228.86/229.22 ( meet(X1,X1) = X1 ),
% 228.86/229.22 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_1]).
% 228.86/229.22 cnf('0.2.0.0',axiom,
% 228.86/229.22 ( X1 = meet(X1,join(X1,X2)) ),
% 228.86/229.22 file('/tmp/WALDMEISTER_6939_n020')).
% 228.86/229.22 cnf('0.2.1.0',plain,
% 228.86/229.22 ( X1 = meet(X1,join(X1,X2)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.2.0.0']),
% 228.86/229.22 [weight('<1,0,0,[0,0,0,2]>')]).
% 228.86/229.22 cnf('0.2.2.0',plain,
% 228.86/229.22 ( meet(X1,join(X1,X2)) = X1 ),
% 228.86/229.22 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_2]).
% 228.86/229.22 cnf('0.3.0.0',axiom,
% 228.86/229.22 ( X1 = join(X1,X1) ),
% 228.86/229.22 file('/tmp/WALDMEISTER_6939_n020')).
% 228.86/229.22 cnf('0.3.1.0',plain,
% 228.86/229.22 ( X1 = join(X1,X1) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.3.0.0']),
% 228.86/229.22 [weight('<2,0,0,[0,0,0,3]>')]).
% 228.86/229.22 cnf('0.3.2.0',plain,
% 228.86/229.22 ( join(X1,X1) = X1 ),
% 228.86/229.22 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_3]).
% 228.86/229.22 cnf('0.4.0.0',axiom,
% 228.86/229.22 ( X1 = join(X1,meet(X1,X2)) ),
% 228.86/229.22 file('/tmp/WALDMEISTER_6939_n020')).
% 228.86/229.22 cnf('0.4.1.0',plain,
% 228.86/229.22 ( X1 = join(X1,meet(X1,X2)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.4.0.0']),
% 228.86/229.22 [weight('<3,0,0,[0,0,0,4]>')]).
% 228.86/229.22 cnf('0.4.2.0',plain,
% 228.86/229.22 ( join(X1,meet(X1,X2)) = X1 ),
% 228.86/229.22 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_4]).
% 228.86/229.22 cnf('0.5.0.0',axiom,
% 228.86/229.22 ( meet(X1,X2) = meet(X2,X1) ),
% 228.86/229.22 file('/tmp/WALDMEISTER_6939_n020')).
% 228.86/229.22 cnf('0.5.1.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(X2,X1) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.5.0.0']),
% 228.86/229.22 [weight('<4,0,0,[0,0,0,5]>')]).
% 228.86/229.22 cnf('0.5.2.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(X2,X1) ),
% 228.86/229.22 inference(activate,[status(thm)],['0.5.1.0']),
% 228.86/229.22 [equation_1]).
% 228.86/229.22 cnf('0.6.0.0',axiom,
% 228.86/229.22 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 228.86/229.22 file('/tmp/WALDMEISTER_6939_n020')).
% 228.86/229.22 cnf('0.6.1.0',plain,
% 228.86/229.22 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.6.0.0']),
% 228.86/229.22 [weight('<5,0,0,[0,0,0,6]>')]).
% 228.86/229.22 cnf('0.6.2.0',plain,
% 228.86/229.22 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_5]).
% 228.86/229.22 cnf('0.7.0.0',axiom,
% 228.86/229.22 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,join(meet(X1,X3),meet(X3,join(X2,X4))))) ),
% 228.86/229.22 file('/tmp/WALDMEISTER_6939_n020')).
% 228.86/229.22 cnf('0.7.1.0',plain,
% 228.86/229.22 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,join(meet(X1,X3),meet(X3,join(X2,X4))))) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.7.0.0']),
% 228.86/229.22 [weight('<6,0,0,[0,0,0,7]>')]).
% 228.86/229.22 cnf('0.7.2.0',plain,
% 228.86/229.22 ( meet(X1,join(X2,join(meet(X1,X3),meet(X3,join(X2,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_6]).
% 228.86/229.22 cnf('0.8.0.0',axiom,
% 228.86/229.22 ( join(X1,X2) = join(X2,X1) ),
% 228.86/229.22 file('/tmp/WALDMEISTER_6939_n020')).
% 228.86/229.22 cnf('0.8.1.0',plain,
% 228.86/229.22 ( join(X1,X2) = join(X2,X1) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.8.0.0']),
% 228.86/229.22 [weight('<7,0,0,[0,0,0,8]>')]).
% 228.86/229.22 cnf('0.8.2.0',plain,
% 228.86/229.22 ( join(X1,X2) = join(X2,X1) ),
% 228.86/229.22 inference(activate,[status(thm)],['0.8.1.0']),
% 228.86/229.22 [equation_2]).
% 228.86/229.22 cnf('0.9.0.0',axiom,
% 228.86/229.22 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 228.86/229.22 file('/tmp/WALDMEISTER_6939_n020')).
% 228.86/229.22 cnf('0.9.1.0',plain,
% 228.86/229.22 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.9.0.0']),
% 228.86/229.22 [weight('<8,0,0,[0,0,0,9]>')]).
% 228.86/229.22 cnf('0.9.2.0',plain,
% 228.86/229.22 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_7]).
% 228.86/229.22 cnf('0.10.0.0',plain,
% 228.86/229.22 ( X1 = join(X1,meet(X2,X1)) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2','L')]).
% 228.86/229.22 cnf('0.10.1.0',plain,
% 228.86/229.22 ( X1 = join(X1,meet(X2,X1)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.10.0.0']),
% 228.86/229.22 [weight('<5,5,4,[0,0,0,2]>')]).
% 228.86/229.22 cnf('0.10.2.0',plain,
% 228.86/229.22 ( join(X1,meet(X2,X1)) = X1 ),
% 228.86/229.22 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_8]).
% 228.86/229.22 cnf('0.11.0.0',plain,
% 228.86/229.22 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.1','L')]).
% 228.86/229.22 cnf('0.11.1.0',plain,
% 228.86/229.22 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.11.0.0']),
% 228.86/229.22 [weight('<5,6,1,[1,0,0,1]>')]).
% 228.86/229.22 cnf('0.11.2.0',plain,
% 228.86/229.22 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 228.86/229.22 [u,rule_9]).
% 228.86/229.22 cnf('0.12.0.0',plain,
% 228.86/229.22 ( X1 = meet(X1,join(X2,X1)) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2','L')]).
% 228.86/229.22 cnf('0.12.1.0',plain,
% 228.86/229.22 ( X1 = meet(X1,join(X2,X1)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.12.0.0']),
% 228.86/229.22 [weight('<5,8,2,[0,0,0,2]>')]).
% 228.86/229.22 cnf('0.12.2.0',plain,
% 228.86/229.22 ( meet(X1,join(X2,X1)) = X1 ),
% 228.86/229.22 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_10]).
% 228.86/229.22 cnf('0.13.0.0',plain,
% 228.86/229.22 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.1','L')]).
% 228.86/229.22 cnf('0.13.1.0',plain,
% 228.86/229.22 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.13.0.0']),
% 228.86/229.22 [weight('<5,9,3,[1,0,0,1]>')]).
% 228.86/229.22 cnf('0.13.2.0',plain,
% 228.86/229.22 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 228.86/229.22 [u,rule_11]).
% 228.86/229.22 cnf('0.14.0.0',plain,
% 228.86/229.22 ( join(X1,X2) = join(join(X1,X2),X1) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.10.2.0','0.2.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2','L')]).
% 228.86/229.22 cnf('0.14.0.1',plain,
% 228.86/229.22 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 228.86/229.22 inference(reduction,[status(thm)],['0.14.0.0','0.9.2.0',theory(equality)]),
% 228.86/229.22 [pos('R','L')]).
% 228.86/229.22 cnf('0.14.1.0',plain,
% 228.86/229.22 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.14.0.1']),
% 228.86/229.22 [weight('<5,10,2,[1,0,0,2]>')]).
% 228.86/229.22 cnf('0.14.2.0',plain,
% 228.86/229.22 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_12]).
% 228.86/229.22 cnf('0.15.0.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.11.2.0','0.5.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2','L')]).
% 228.86/229.22 cnf('0.15.1.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.15.0.0']),
% 228.86/229.22 [weight('<5,11,5,[1,0,0,2]>')]).
% 228.86/229.22 cnf('0.15.2.0',plain,
% 228.86/229.22 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_13]).
% 228.86/229.22 cnf('0.16.0.0',plain,
% 228.86/229.22 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.1','L')]).
% 228.86/229.22 cnf('0.16.1.0',plain,
% 228.86/229.22 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.16.0.0']),
% 228.86/229.22 [weight('<7,6,2,[1,0,0,1]>')]).
% 228.86/229.22 cnf('0.16.2.0',plain,
% 228.86/229.22 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 228.86/229.22 [u,rule_14]).
% 228.86/229.22 cnf('0.17.0.0',plain,
% 228.86/229.22 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.1','L')]).
% 228.86/229.22 cnf('0.17.1.0',plain,
% 228.86/229.22 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.17.0.0']),
% 228.86/229.22 [weight('<7,9,4,[1,0,0,1]>')]).
% 228.86/229.22 cnf('0.17.2.0',plain,
% 228.86/229.22 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 228.86/229.22 [u,rule_15]).
% 228.86/229.22 cnf('0.18.0.0',plain,
% 228.86/229.22 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2','L')]).
% 228.86/229.22 cnf('0.18.1.0',plain,
% 228.86/229.22 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.18.0.0']),
% 228.86/229.22 [weight('<7,10,6,[1,0,0,2]>')]).
% 228.86/229.22 cnf('0.18.2.0',plain,
% 228.86/229.22 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 228.86/229.22 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_16]).
% 228.86/229.22 cnf('0.19.0.0',plain,
% 228.86/229.22 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.1','L')]).
% 228.86/229.22 cnf('0.19.1.0',plain,
% 228.86/229.22 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.19.0.0']),
% 228.86/229.22 [weight('<7,10,9,[0,0,0,1]>')]).
% 228.86/229.22 cnf('0.19.2.0',plain,
% 228.86/229.22 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 228.86/229.22 [u,rule_17]).
% 228.86/229.22 cnf('0.20.0.0',plain,
% 228.86/229.22 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.6.2.0','0.12.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.1','L')]).
% 228.86/229.22 cnf('0.20.1.0',plain,
% 228.86/229.22 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.20.0.0']),
% 228.86/229.22 [weight('<7,12,6,[0,0,0,1]>')]).
% 228.86/229.22 cnf('0.20.2.0',plain,
% 228.86/229.22 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 228.86/229.22 [u,rule_18]).
% 228.86/229.22 cnf('0.22.0.0',plain,
% 228.86/229.22 ( join(X1,join(join(X2,X1),X3)) = join(join(X1,X2),X3) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.9.2.0','0.14.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.1','L')]).
% 228.86/229.22 cnf('0.22.0.1',plain,
% 228.86/229.22 ( join(X1,join(X2,join(X1,X3))) = join(join(X1,X2),X3) ),
% 228.86/229.22 inference(reduction,[status(thm)],['0.22.0.0','0.9.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2','L')]).
% 228.86/229.22 cnf('0.22.0.2',plain,
% 228.86/229.22 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 228.86/229.22 inference(reduction,[status(thm)],['0.22.0.1','0.9.2.0',theory(equality)]),
% 228.86/229.22 [pos('R','L')]).
% 228.86/229.22 cnf('0.22.1.0',plain,
% 228.86/229.22 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.22.0.2']),
% 228.86/229.22 [weight('<7,14,9,[0,0,0,1]>')]).
% 228.86/229.22 cnf('0.22.2.0',plain,
% 228.86/229.22 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 228.86/229.22 [u,rule_20]).
% 228.86/229.22 cnf('0.28.0.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.16.2.0','0.5.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2','L')]).
% 228.86/229.22 cnf('0.28.1.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.28.0.0']),
% 228.86/229.22 [weight('<7,16,5,[1,0,0,2]>')]).
% 228.86/229.22 cnf('0.28.2.0',plain,
% 228.86/229.22 ( meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_26]).
% 228.86/229.22 cnf('0.33.0.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,X1))) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.20.2.0','0.5.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2','L')]).
% 228.86/229.22 cnf('0.33.1.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,X1))) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.33.0.0']),
% 228.86/229.22 [weight('<7,20,5,[1,0,0,2]>')]).
% 228.86/229.22 cnf('0.33.2.0',plain,
% 228.86/229.22 ( meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_31]).
% 228.86/229.22 cnf('0.34.0.0',plain,
% 228.86/229.22 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 228.86/229.22 [pos('L','L')]).
% 228.86/229.22 cnf('0.34.1.0',plain,
% 228.86/229.22 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.34.0.0']),
% 228.86/229.22 [weight('<9,6,2,[1,0,0,0]>')]).
% 228.86/229.22 cnf('0.34.2.0',plain,
% 228.86/229.22 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 228.86/229.22 [u,rule_32]).
% 228.86/229.22 cnf('0.37.0.0',plain,
% 228.86/229.22 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 228.86/229.22 [pos('L','L')]).
% 228.86/229.22 cnf('0.37.1.0',plain,
% 228.86/229.22 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.37.0.0']),
% 228.86/229.22 [weight('<9,9,4,[1,0,0,0]>')]).
% 228.86/229.22 cnf('0.37.2.0',plain,
% 228.86/229.22 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 228.86/229.22 [u,rule_35]).
% 228.86/229.22 cnf('0.38.0.0',plain,
% 228.86/229.22 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.10.2.0','0.9.2.0',theory(equality)]),
% 228.86/229.22 [pos('L','L')]).
% 228.86/229.22 cnf('0.38.1.0',plain,
% 228.86/229.22 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.38.0.0']),
% 228.86/229.22 [weight('<9,10,9,[1,0,0,0]>')]).
% 228.86/229.22 cnf('0.38.2.0',plain,
% 228.86/229.22 ( join(X1,join(X2,meet(X3,join(X1,X2)))) = join(X1,X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_36]).
% 228.86/229.22 cnf('0.39.0.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.12.2.0','0.6.2.0',theory(equality)]),
% 228.86/229.22 [pos('L','L')]).
% 228.86/229.22 cnf('0.39.1.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.39.0.0']),
% 228.86/229.22 [weight('<9,12,6,[1,0,0,0]>')]).
% 228.86/229.22 cnf('0.39.2.0',plain,
% 228.86/229.22 ( meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_37]).
% 228.86/229.22 cnf('0.40.0.0',plain,
% 228.86/229.22 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.10.2.0','0.16.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2','L')]).
% 228.86/229.22 cnf('0.40.1.0',plain,
% 228.86/229.22 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.40.0.0']),
% 228.86/229.22 [weight('<9,16,10,[0,0,0,2]>')]).
% 228.86/229.22 cnf('0.40.1.1',plain,
% 228.86/229.22 ( meet(join(X1,X2),X3) = join(meet(X1,X3),meet(join(X1,X2),X3)) ),
% 228.86/229.22 inference(reduction,[status(thm)],['0.40.1.0','0.8.2.0',theory(equality)]),
% 228.86/229.22 [pos('R','L')]).
% 228.86/229.22 cnf('0.40.2.0',plain,
% 228.86/229.22 ( join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(join(X1,X3),X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.40.1.1',theory(equality)]),
% 228.86/229.22 [x,rule_38]).
% 228.86/229.22 cnf('0.41.0.0',plain,
% 228.86/229.22 ( meet(join(X1,X2),meet(X1,X3)) = join(meet(X1,X3),meet(join(X1,X2),meet(X1,X3))) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.40.2.0','0.11.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.1','L')]).
% 228.86/229.22 cnf('0.41.0.1',plain,
% 228.86/229.22 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 228.86/229.22 inference(reduction,[status(thm)],['0.41.0.0','0.10.2.0',theory(equality)]),
% 228.86/229.22 [pos('R','L')]).
% 228.86/229.22 cnf('0.41.1.0',plain,
% 228.86/229.22 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.41.0.1']),
% 228.86/229.22 [weight('<7,40,11,[1,0,0,1]>')]).
% 228.86/229.22 cnf('0.41.2.0',plain,
% 228.86/229.22 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 228.86/229.22 [u,rule_39]).
% 228.86/229.22 cnf('0.42.0.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.41.2.0','0.5.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2','L')]).
% 228.86/229.22 cnf('0.42.1.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.42.0.0']),
% 228.86/229.22 [weight('<7,41,5,[1,0,0,4]>')]).
% 228.86/229.22 cnf('0.42.2.0',plain,
% 228.86/229.22 ( meet(join(X1,X2),meet(X3,X1)) = meet(X1,X3) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_40]).
% 228.86/229.22 cnf('0.43.0.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.41.2.0','0.8.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.1','L')]).
% 228.86/229.22 cnf('0.43.1.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.43.0.0']),
% 228.86/229.22 [weight('<7,41,8,[1,0,0,1]>')]).
% 228.86/229.22 cnf('0.43.2.0',plain,
% 228.86/229.22 ( meet(join(X1,X2),meet(X2,X3)) = meet(X2,X3) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_41]).
% 228.86/229.22 cnf('0.44.0.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(join(X3,X1),meet(X2,X1)) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.42.2.0','0.8.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.1','L')]).
% 228.86/229.22 cnf('0.44.1.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(join(X3,X1),meet(X2,X1)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.44.0.0']),
% 228.86/229.22 [weight('<7,42,8,[1,0,0,1]>')]).
% 228.86/229.22 cnf('0.44.2.0',plain,
% 228.86/229.22 ( meet(join(X1,X2),meet(X3,X2)) = meet(X2,X3) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_42]).
% 228.86/229.22 cnf('0.45.0.0',plain,
% 228.86/229.22 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.12.2.0','0.17.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2','L')]).
% 228.86/229.22 cnf('0.45.1.0',plain,
% 228.86/229.22 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.45.0.0']),
% 228.86/229.22 [weight('<9,17,12,[0,0,0,2]>')]).
% 228.86/229.22 cnf('0.45.1.1',plain,
% 228.86/229.22 ( join(meet(X1,X2),X3) = meet(join(X1,X3),join(meet(X1,X2),X3)) ),
% 228.86/229.22 inference(reduction,[status(thm)],['0.45.1.0','0.5.2.0',theory(equality)]),
% 228.86/229.22 [pos('R','L')]).
% 228.86/229.22 cnf('0.45.2.0',plain,
% 228.86/229.22 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.45.1.1',theory(equality)]),
% 228.86/229.22 [x,rule_43]).
% 228.86/229.22 cnf('0.46.0.0',plain,
% 228.86/229.22 ( join(meet(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(meet(X1,X2),join(X1,X3))) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.45.2.0','0.13.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.1','L')]).
% 228.86/229.22 cnf('0.46.0.1',plain,
% 228.86/229.22 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 228.86/229.22 inference(reduction,[status(thm)],['0.46.0.0','0.12.2.0',theory(equality)]),
% 228.86/229.22 [pos('R','L')]).
% 228.86/229.22 cnf('0.46.1.0',plain,
% 228.86/229.22 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.46.0.1']),
% 228.86/229.22 [weight('<7,45,13,[1,0,0,1]>')]).
% 228.86/229.22 cnf('0.46.2.0',plain,
% 228.86/229.22 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 228.86/229.22 [u,rule_44]).
% 228.86/229.22 cnf('0.54.0.0',plain,
% 228.86/229.22 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.12.2.0','0.19.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2','L')]).
% 228.86/229.22 cnf('0.54.1.0',plain,
% 228.86/229.22 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.54.0.0']),
% 228.86/229.22 [weight('<9,19,12,[0,0,0,2]>')]).
% 228.86/229.22 cnf('0.54.1.1',plain,
% 228.86/229.22 ( join(meet(X1,X2),X3) = meet(join(X2,X3),join(meet(X1,X2),X3)) ),
% 228.86/229.22 inference(reduction,[status(thm)],['0.54.1.0','0.5.2.0',theory(equality)]),
% 228.86/229.22 [pos('R','L')]).
% 228.86/229.22 cnf('0.54.2.0',plain,
% 228.86/229.22 ( meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.54.1.1',theory(equality)]),
% 228.86/229.22 [x,rule_52]).
% 228.86/229.22 cnf('0.58.0.0',plain,
% 228.86/229.22 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.10.2.0','0.20.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2','L')]).
% 228.86/229.22 cnf('0.58.1.0',plain,
% 228.86/229.22 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.58.0.0']),
% 228.86/229.22 [weight('<9,20,10,[0,0,0,2]>')]).
% 228.86/229.22 cnf('0.58.1.1',plain,
% 228.86/229.22 ( meet(join(X1,X2),X3) = join(meet(X2,X3),meet(join(X1,X2),X3)) ),
% 228.86/229.22 inference(reduction,[status(thm)],['0.58.1.0','0.8.2.0',theory(equality)]),
% 228.86/229.22 [pos('R','L')]).
% 228.86/229.22 cnf('0.58.2.0',plain,
% 228.86/229.22 ( join(meet(X1,X2),meet(join(X3,X1),X2)) = meet(join(X3,X1),X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.58.1.1',theory(equality)]),
% 228.86/229.22 [x,rule_56]).
% 228.86/229.22 cnf('0.66.0.0',plain,
% 228.86/229.22 ( join(X1,join(X2,meet(X3,meet(X4,X1)))) = join(X1,join(X2,X1)) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.22.2.0','0.18.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2.2','L')]).
% 228.86/229.22 cnf('0.66.0.1',plain,
% 228.86/229.22 ( join(X1,join(X2,meet(X3,meet(X4,X1)))) = join(X1,X2) ),
% 228.86/229.22 inference(reduction,[status(thm)],['0.66.0.0','0.14.2.0',theory(equality)]),
% 228.86/229.22 [pos('R','L')]).
% 228.86/229.22 cnf('0.66.1.0',plain,
% 228.86/229.22 ( join(X1,join(X2,meet(X3,meet(X4,X1)))) = join(X1,X2) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.66.0.1']),
% 228.86/229.22 [weight('<9,22,18,[1,0,0,4]>')]).
% 228.86/229.22 cnf('0.66.2.0',plain,
% 228.86/229.22 ( join(X1,join(X2,meet(X3,meet(X4,X1)))) = join(X1,X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 228.86/229.22 [u,rule_64]).
% 228.86/229.22 cnf('0.88.0.0',plain,
% 228.86/229.22 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X3,X1)) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.10.2.0','0.33.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2','L')]).
% 228.86/229.22 cnf('0.88.1.0',plain,
% 228.86/229.22 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X3,X1)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.88.0.0']),
% 228.86/229.22 [weight('<9,33,10,[0,0,0,2]>')]).
% 228.86/229.22 cnf('0.88.1.1',plain,
% 228.86/229.22 ( meet(X1,join(X2,X3)) = join(meet(X3,X1),meet(X1,join(X2,X3))) ),
% 228.86/229.22 inference(reduction,[status(thm)],['0.88.1.0','0.8.2.0',theory(equality)]),
% 228.86/229.22 [pos('R','L')]).
% 228.86/229.22 cnf('0.88.2.0',plain,
% 228.86/229.22 ( join(meet(X1,X2),meet(X2,join(X3,X1))) = meet(X2,join(X3,X1)) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.88.1.1',theory(equality)]),
% 228.86/229.22 [x,rule_86]).
% 228.86/229.22 cnf('0.94.0.0',plain,
% 228.86/229.22 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.38.2.0','0.8.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2.2.2','L')]).
% 228.86/229.22 cnf('0.94.1.0',plain,
% 228.86/229.22 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.94.0.0']),
% 228.86/229.22 [weight('<9,38,8,[1,0,0,6]>')]).
% 228.86/229.22 cnf('0.94.2.0',plain,
% 228.86/229.22 ( join(X1,join(X2,meet(X3,join(X2,X1)))) = join(X1,X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_92]).
% 228.86/229.22 cnf('0.95.0.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.39.2.0','0.5.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2.2.2','L')]).
% 228.86/229.22 cnf('0.95.1.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.95.0.0']),
% 228.86/229.22 [weight('<9,39,5,[1,0,0,6]>')]).
% 228.86/229.22 cnf('0.95.2.0',plain,
% 228.86/229.22 ( meet(X1,meet(X2,join(X3,meet(X2,X1)))) = meet(X1,X2) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_93]).
% 228.86/229.22 cnf('0.101.0.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(join(X3,join(X4,X1)),meet(X1,X2)) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.43.2.0','0.9.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.1','L')]).
% 228.86/229.22 cnf('0.101.1.0',plain,
% 228.86/229.22 ( meet(X1,X2) = meet(join(X3,join(X4,X1)),meet(X1,X2)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.101.0.0']),
% 228.86/229.22 [weight('<9,43,9,[1,0,0,1]>')]).
% 228.86/229.22 cnf('0.101.2.0',plain,
% 228.86/229.22 ( meet(join(X1,join(X2,X3)),meet(X3,X4)) = meet(X3,X4) ),
% 228.86/229.22 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 228.86/229.22 [x,rule_99]).
% 228.86/229.22 cnf('0.103.0.0',plain,
% 228.86/229.22 ( meet(join(X1,X2),meet(meet(X3,X2),X4)) = meet(meet(X2,X3),X4) ),
% 228.86/229.22 inference(cp,[status(thm)],['0.6.2.0','0.44.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.1','L')]).
% 228.86/229.22 cnf('0.103.0.1',plain,
% 228.86/229.22 ( meet(join(X1,X2),meet(X3,meet(X2,X4))) = meet(meet(X2,X3),X4) ),
% 228.86/229.22 inference(reduction,[status(thm)],['0.103.0.0','0.6.2.0',theory(equality)]),
% 228.86/229.22 [pos('L.2','L')]).
% 228.86/229.22 cnf('0.103.0.2',plain,
% 228.86/229.22 ( meet(join(X1,X2),meet(X3,meet(X2,X4))) = meet(X2,meet(X3,X4)) ),
% 228.86/229.22 inference(reduction,[status(thm)],['0.103.0.1','0.6.2.0',theory(equality)]),
% 228.86/229.22 [pos('R','L')]).
% 228.86/229.22 cnf('0.103.1.0',plain,
% 228.86/229.22 ( meet(join(X1,X2),meet(X3,meet(X2,X4))) = meet(X2,meet(X3,X4)) ),
% 228.86/229.22 inference(weigh,[status(thm)],['0.103.0.2']),
% 228.86/229.22 [weight('<9,44,6,[0,0,0,1]>')]).
% 228.86/229.22 cnf('0.103.2.0',plain,
% 228.86/229.22 ( meet(join(X1,X2),meet(X3,meet(X2,X4))) = meet(X2,meet(X3,X4)) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 228.86/229.23 [u,rule_101]).
% 228.86/229.23 cnf('0.109.0.0',plain,
% 228.86/229.23 ( join(join(X1,X2),X3) = join(meet(X2,X4),join(join(X1,X2),X3)) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.46.2.0','0.43.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.1','L')]).
% 228.86/229.23 cnf('0.109.0.1',plain,
% 228.86/229.23 ( join(X1,join(X2,X3)) = join(meet(X2,X4),join(join(X1,X2),X3)) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.109.0.0','0.9.2.0',theory(equality)]),
% 228.86/229.23 [pos('L','L')]).
% 228.86/229.23 cnf('0.109.0.2',plain,
% 228.86/229.23 ( join(X1,join(X2,X3)) = join(meet(X2,X4),join(X1,join(X2,X3))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.109.0.1','0.9.2.0',theory(equality)]),
% 228.86/229.23 [pos('R.2','L')]).
% 228.86/229.23 cnf('0.109.1.0',plain,
% 228.86/229.23 ( join(X1,join(X2,X3)) = join(meet(X2,X4),join(X1,join(X2,X3))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.109.0.2']),
% 228.86/229.23 [weight('<9,46,43,[1,0,0,1]>')]).
% 228.86/229.23 cnf('0.109.2.0',plain,
% 228.86/229.23 ( join(meet(X1,X2),join(X3,join(X1,X4))) = join(X3,join(X1,X4)) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_107]).
% 228.86/229.23 cnf('0.110.0.0',plain,
% 228.86/229.23 ( join(join(X1,X2),X3) = join(join(meet(X1,X4),X2),join(join(X1,X2),X3)) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.46.2.0','0.45.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.1','L')]).
% 228.86/229.23 cnf('0.110.0.1',plain,
% 228.86/229.23 ( join(X1,join(X2,X3)) = join(join(meet(X1,X4),X2),join(join(X1,X2),X3)) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.110.0.0','0.9.2.0',theory(equality)]),
% 228.86/229.23 [pos('L','L')]).
% 228.86/229.23 cnf('0.110.0.2',plain,
% 228.86/229.23 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X2,join(join(X1,X2),X3))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.110.0.1','0.9.2.0',theory(equality)]),
% 228.86/229.23 [pos('R','L')]).
% 228.86/229.23 cnf('0.110.0.3',plain,
% 228.86/229.23 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X2,join(X1,join(X2,X3)))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.110.0.2','0.9.2.0',theory(equality)]),
% 228.86/229.23 [pos('R.2.2','L')]).
% 228.86/229.23 cnf('0.110.0.4',plain,
% 228.86/229.23 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X2,join(X1,X3))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.110.0.3','0.22.2.0',theory(equality)]),
% 228.86/229.23 [pos('R.2','L')]).
% 228.86/229.23 cnf('0.110.1.0',plain,
% 228.86/229.23 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X2,join(X1,X3))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.110.0.4']),
% 228.86/229.23 [weight('<9,46,45,[1,0,0,1]>')]).
% 228.86/229.23 cnf('0.110.1.1',plain,
% 228.86/229.23 ( join(X1,join(X2,X3)) = join(X2,join(X1,X3)) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.110.1.0','0.109.2.0',theory(equality)]),
% 228.86/229.23 [pos('R','L')]).
% 228.86/229.23 cnf('0.110.2.0',plain,
% 228.86/229.23 ( join(X1,join(X2,X3)) = join(X2,join(X1,X3)) ),
% 228.86/229.23 inference(activate,[status(thm)],['0.110.1.1']),
% 228.86/229.23 [equation_3]).
% 228.86/229.23 cnf('0.113.0.0',plain,
% 228.86/229.23 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.54.2.0','0.4.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.1','L')]).
% 228.86/229.23 cnf('0.113.1.0',plain,
% 228.86/229.23 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.113.0.0']),
% 228.86/229.23 [weight('<9,54,4,[1,0,0,1]>')]).
% 228.86/229.23 cnf('0.113.2.0',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X1),meet(X1,X3))) = join(meet(X2,X1),meet(X1,X3)) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_109]).
% 228.86/229.23 cnf('0.115.0.0',plain,
% 228.86/229.23 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.54.2.0','0.10.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.1','L')]).
% 228.86/229.23 cnf('0.115.1.0',plain,
% 228.86/229.23 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.115.0.0']),
% 228.86/229.23 [weight('<9,54,10,[1,0,0,1]>')]).
% 228.86/229.23 cnf('0.115.2.0',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X1),meet(X3,X1))) = join(meet(X2,X1),meet(X3,X1)) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_111]).
% 228.86/229.23 cnf('0.116.0.0',plain,
% 228.86/229.23 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X1,X2),join(X2,X3))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.58.2.0','0.2.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.1','L')]).
% 228.86/229.23 cnf('0.116.1.0',plain,
% 228.86/229.23 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X1,X2),join(X2,X3))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.116.0.0']),
% 228.86/229.23 [weight('<9,58,2,[1,0,0,1]>')]).
% 228.86/229.23 cnf('0.116.2.0',plain,
% 228.86/229.23 ( join(X1,meet(join(X2,X1),join(X1,X3))) = meet(join(X2,X1),join(X1,X3)) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_112]).
% 228.86/229.23 cnf('0.124.0.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,X1)))) = meet(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.7.2.0','0.88.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2','L')]).
% 228.86/229.23 cnf('0.124.0.1',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.124.0.0','0.3.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2.2','L')]).
% 228.86/229.23 cnf('0.124.1.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.124.0.1']),
% 228.86/229.23 [weight('<9,88,7,[0,0,0,4]>')]).
% 228.86/229.23 cnf('0.124.2.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.124.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_120]).
% 228.86/229.23 cnf('0.127.0.0',plain,
% 228.86/229.23 ( meet(meet(X1,X2),X3) = meet(join(X4,X2),meet(meet(X1,X2),X3)) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.101.2.0','0.10.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.1.2','L')]).
% 228.86/229.23 cnf('0.127.0.1',plain,
% 228.86/229.23 ( meet(X1,meet(X2,X3)) = meet(join(X4,X2),meet(meet(X1,X2),X3)) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.127.0.0','0.6.2.0',theory(equality)]),
% 228.86/229.23 [pos('L','L')]).
% 228.86/229.23 cnf('0.127.0.2',plain,
% 228.86/229.23 ( meet(X1,meet(X2,X3)) = meet(join(X4,X2),meet(X1,meet(X2,X3))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.127.0.1','0.6.2.0',theory(equality)]),
% 228.86/229.23 [pos('R.2','L')]).
% 228.86/229.23 cnf('0.127.1.0',plain,
% 228.86/229.23 ( meet(X1,meet(X2,X3)) = meet(join(X4,X2),meet(X1,meet(X2,X3))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.127.0.2']),
% 228.86/229.23 [weight('<9,101,10,[1,0,0,3]>')]).
% 228.86/229.23 cnf('0.127.1.1',plain,
% 228.86/229.23 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.127.1.0','0.103.2.0',theory(equality)]),
% 228.86/229.23 [pos('R','L')]).
% 228.86/229.23 cnf('0.127.2.0',plain,
% 228.86/229.23 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)) ),
% 228.86/229.23 inference(activate,[status(thm)],['0.127.1.1']),
% 228.86/229.23 [equation_5]).
% 228.86/229.23 cnf('0.134.0.0',plain,
% 228.86/229.23 ( meet(X1,X2) = meet(X1,join(meet(X3,X2),meet(X2,X1))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.95.2.0','0.113.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2','L')]).
% 228.86/229.23 cnf('0.134.1.0',plain,
% 228.86/229.23 ( meet(X1,X2) = meet(X1,join(meet(X3,X2),meet(X2,X1))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.134.0.0']),
% 228.86/229.23 [weight('<9,113,95,[0,0,0,2]>')]).
% 228.86/229.23 cnf('0.134.2.0',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X3),meet(X3,X1))) = meet(X1,X3) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.134.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_128]).
% 228.86/229.23 cnf('0.135.0.0',plain,
% 228.86/229.23 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X3,X2))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.34.2.0','0.115.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2','L')]).
% 228.86/229.23 cnf('0.135.1.0',plain,
% 228.86/229.23 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X3,X2))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.135.0.0']),
% 228.86/229.23 [weight('<9,115,34,[0,0,0,2]>')]).
% 228.86/229.23 cnf('0.135.2.0',plain,
% 228.86/229.23 ( meet(X1,join(meet(X1,X2),meet(X3,X2))) = meet(X1,X2) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.135.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_129]).
% 228.86/229.23 cnf('0.137.0.0',plain,
% 228.86/229.23 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.37.2.0','0.116.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2','L')]).
% 228.86/229.23 cnf('0.137.1.0',plain,
% 228.86/229.23 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.137.0.0']),
% 228.86/229.23 [weight('<9,116,37,[0,0,0,2]>')]).
% 228.86/229.23 cnf('0.137.2.0',plain,
% 228.86/229.23 ( join(X1,meet(join(X1,X2),join(X2,X3))) = join(X1,X2) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.137.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_131]).
% 228.86/229.23 cnf('0.138.0.0',plain,
% 228.86/229.23 ( join(X1,X2) = join(X1,meet(join(X3,X2),join(X2,X1))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.94.2.0','0.116.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2','L')]).
% 228.86/229.23 cnf('0.138.1.0',plain,
% 228.86/229.23 ( join(X1,X2) = join(X1,meet(join(X3,X2),join(X2,X1))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.138.0.0']),
% 228.86/229.23 [weight('<9,116,94,[0,0,0,2]>')]).
% 228.86/229.23 cnf('0.138.2.0',plain,
% 228.86/229.23 ( join(X1,meet(join(X2,X3),join(X3,X1))) = join(X1,X3) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.138.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_132]).
% 228.86/229.23 cnf('0.141.0.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(join(X2,X1),X3))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.124.2.0','0.5.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2','L')]).
% 228.86/229.23 cnf('0.141.1.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(join(X2,X1),X3))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.141.0.0']),
% 228.86/229.23 [weight('<9,124,5,[1,0,0,4]>')]).
% 228.86/229.23 cnf('0.141.2.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(join(X2,X1),X3))) = meet(X1,join(X2,meet(X3,X1))) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_135]).
% 228.86/229.23 cnf('0.142.0.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.124.2.0','0.8.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2.2','L')]).
% 228.86/229.23 cnf('0.142.1.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.142.0.0']),
% 228.86/229.23 [weight('<9,124,8,[1,0,0,6]>')]).
% 228.86/229.23 cnf('0.142.2.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.142.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_136]).
% 228.86/229.23 cnf('0.144.0.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(join(X3,X2),X1))) = meet(X1,meet(join(X3,X2),join(X2,X1))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.124.2.0','0.116.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2','L')]).
% 228.86/229.23 cnf('0.144.0.1',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(join(X3,X2),X1))) = meet(X1,join(X3,X2)) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.144.0.0','0.33.2.0',theory(equality)]),
% 228.86/229.23 [pos('R','L')]).
% 228.86/229.23 cnf('0.144.1.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(join(X3,X2),X1))) = meet(X1,join(X3,X2)) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.144.0.1']),
% 228.86/229.23 [weight('<9,124,116,[1,0,0,2]>')]).
% 228.86/229.23 cnf('0.144.2.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(join(X3,X2),X1))) = meet(X1,join(X3,X2)) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.144.1.0',theory(equality)]),
% 228.86/229.23 [u,rule_138]).
% 228.86/229.23 cnf('0.152.0.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(X1,join(X2,X3)),X3)) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.135.2.0','0.12.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2','L')]).
% 228.86/229.23 cnf('0.152.1.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(X1,join(X2,X3)),X3)) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.152.0.0']),
% 228.86/229.23 [weight('<9,135,12,[1,0,0,6]>')]).
% 228.86/229.23 cnf('0.152.1.1',plain,
% 228.86/229.23 ( meet(X1,join(X2,X3)) = meet(X1,join(X3,meet(X1,join(X2,X3)))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.152.1.0','0.8.2.0',theory(equality)]),
% 228.86/229.23 [pos('R.2','L')]).
% 228.86/229.23 cnf('0.152.2.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X1,join(X3,X2)))) = meet(X1,join(X3,X2)) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.152.1.1',theory(equality)]),
% 228.86/229.23 [x,rule_146]).
% 228.86/229.23 cnf('0.154.0.0',plain,
% 228.86/229.23 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,X3)),X3)) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.137.2.0','0.134.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2','L')]).
% 228.86/229.23 cnf('0.154.1.0',plain,
% 228.86/229.23 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,X3)),X3)) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.154.0.0']),
% 228.86/229.23 [weight('<9,137,134,[1,0,0,2]>')]).
% 228.86/229.23 cnf('0.154.1.1',plain,
% 228.86/229.23 ( join(X1,meet(X2,X3)) = join(X1,meet(X3,join(X1,meet(X2,X3)))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.154.1.0','0.5.2.0',theory(equality)]),
% 228.86/229.23 [pos('R.2','L')]).
% 228.86/229.23 cnf('0.154.2.0',plain,
% 228.86/229.23 ( join(X1,meet(X2,join(X1,meet(X3,X2)))) = join(X1,meet(X3,X2)) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.154.1.1',theory(equality)]),
% 228.86/229.23 [x,rule_148]).
% 228.86/229.23 cnf('0.155.0.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(join(X1,X2),X3))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.141.2.0','0.8.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2.1','L')]).
% 228.86/229.23 cnf('0.155.1.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(join(X1,X2),X3))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.155.0.0']),
% 228.86/229.23 [weight('<9,141,8,[1,0,0,5]>')]).
% 228.86/229.23 cnf('0.155.2.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(join(X1,X2),X3))) = meet(X1,join(X2,meet(X3,X1))) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.155.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_149]).
% 228.86/229.23 cnf('0.158.0.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,join(X2,X4))))) = meet(X1,join(X2,join(meet(X1,X3),meet(X3,join(X2,X4))))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.7.2.0','0.13.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2.2.2','L')]).
% 228.86/229.23 cnf('0.158.0.1',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,join(X2,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.158.0.0','0.7.2.0',theory(equality)]),
% 228.86/229.23 [pos('R','L')]).
% 228.86/229.23 cnf('0.158.1.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,join(X2,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.158.0.1']),
% 228.86/229.23 [weight('<11,13,7,[0,0,0,10]>')]).
% 228.86/229.23 cnf('0.158.2.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,join(X2,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.158.1.0',theory(equality)]),
% 228.86/229.23 [u,rule_150]).
% 228.86/229.23 cnf('0.285.0.0',plain,
% 228.86/229.23 ( join(meet(X1,X2),X3) = join(meet(X1,X2),join(X3,meet(X4,meet(X2,X1)))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.66.2.0','0.15.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2.2','L')]).
% 228.86/229.23 cnf('0.285.1.0',plain,
% 228.86/229.23 ( join(meet(X1,X2),X3) = join(meet(X1,X2),join(X3,meet(X4,meet(X2,X1)))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.285.0.0']),
% 228.86/229.23 [weight('<11,66,15,[1,0,0,6]>')]).
% 228.86/229.23 cnf('0.285.2.0',plain,
% 228.86/229.23 ( join(meet(X1,X2),join(X3,meet(X4,meet(X2,X1)))) = join(meet(X1,X2),X3) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.285.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_277]).
% 228.86/229.23 cnf('0.603.0.0',plain,
% 228.86/229.23 ( join(X1,join(X2,meet(X3,join(X1,meet(X4,X3))))) = join(X1,join(X2,join(X1,meet(X4,X3)))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.22.2.0','0.154.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2','L')]).
% 228.86/229.23 cnf('0.603.0.1',plain,
% 228.86/229.23 ( join(X1,join(X2,meet(X3,join(X1,meet(X4,X3))))) = join(X1,join(X2,meet(X4,X3))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.603.0.0','0.22.2.0',theory(equality)]),
% 228.86/229.23 [pos('R','L')]).
% 228.86/229.23 cnf('0.603.1.0',plain,
% 228.86/229.23 ( join(X1,join(X2,meet(X3,join(X1,meet(X4,X3))))) = join(X1,join(X2,meet(X4,X3))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.603.0.1']),
% 228.86/229.23 [weight('<11,154,22,[0,0,0,4]>')]).
% 228.86/229.23 cnf('0.603.2.0',plain,
% 228.86/229.23 ( join(X1,join(X2,meet(X3,join(X1,meet(X4,X3))))) = join(X1,join(X2,meet(X4,X3))) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.603.1.0',theory(equality)]),
% 228.86/229.23 [u,rule_595]).
% 228.86/229.23 cnf('0.610.0.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(meet(X3,X4),X1))) = meet(X1,join(X2,meet(X3,meet(join(X1,X2),X4)))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.155.2.0','0.127.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2','L')]).
% 228.86/229.23 cnf('0.610.0.1',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,meet(X4,X1)))) = meet(X1,join(X2,meet(X3,meet(join(X1,X2),X4)))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.610.0.0','0.6.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2','L')]).
% 228.86/229.23 cnf('0.610.1.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,meet(X4,X1)))) = meet(X1,join(X2,meet(X3,meet(join(X1,X2),X4)))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.610.0.1']),
% 228.86/229.23 [weight('<11,155,127,[1,0,0,4]>')]).
% 228.86/229.23 cnf('0.610.2.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,meet(join(X1,X2),X4)))) = meet(X1,join(X2,meet(X3,meet(X4,X1)))) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.610.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_602]).
% 228.86/229.23 cnf('0.612.0.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.158.2.0','0.4.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2.2.2','L')]).
% 228.86/229.23 cnf('0.612.0.1',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) = meet(X1,join(X2,meet(X3,X1))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.612.0.0','0.142.2.0',theory(equality)]),
% 228.86/229.23 [pos('R','L')]).
% 228.86/229.23 cnf('0.612.1.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) = meet(X1,join(X2,meet(X3,X1))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.612.0.1']),
% 228.86/229.23 [weight('<11,158,4,[1,0,0,8]>')]).
% 228.86/229.23 cnf('0.612.2.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) = meet(X1,join(X2,meet(X3,X1))) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.612.1.0',theory(equality)]),
% 228.86/229.23 [u,rule_604]).
% 228.86/229.23 cnf('0.767.0.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,meet(X4,X3))))) = meet(X1,join(X2,join(meet(X1,X3),meet(X4,X3)))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.7.2.0','0.603.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2','L')]).
% 228.86/229.23 cnf('0.767.1.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,meet(X4,X3))))) = meet(X1,join(X2,join(meet(X1,X3),meet(X4,X3)))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.767.0.0']),
% 228.86/229.23 [weight('<11,603,7,[0,0,0,2]>')]).
% 228.86/229.23 cnf('0.767.2.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,meet(X4,X3))))) = meet(X1,join(X2,join(meet(X1,X3),meet(X4,X3)))) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.767.1.0',theory(equality)]),
% 228.86/229.23 [u,rule_759]).
% 228.86/229.23 cnf('0.769.0.0',plain,
% 228.86/229.23 ( meet(X1,join(join(X2,X3),meet(X4,X1))) = meet(X1,join(join(X2,X3),meet(X4,join(X1,X3)))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.612.2.0','0.138.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2.2','L')]).
% 228.86/229.23 cnf('0.769.0.1',plain,
% 228.86/229.23 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(join(X2,X3),meet(X4,join(X1,X3)))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.769.0.0','0.9.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2','L')]).
% 228.86/229.23 cnf('0.769.0.2',plain,
% 228.86/229.23 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(X2,join(X3,meet(X4,join(X1,X3))))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.769.0.1','0.9.2.0',theory(equality)]),
% 228.86/229.23 [pos('R.2','L')]).
% 228.86/229.23 cnf('0.769.1.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(X2,join(X3,meet(X4,join(X1,X3))))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.769.0.2']),
% 228.86/229.23 [weight('<11,612,138,[1,0,0,6]>')]).
% 228.86/229.23 cnf('0.769.2.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,join(X3,meet(X4,join(X1,X3))))) = meet(X1,join(X2,join(X3,meet(X4,X1)))) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.769.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_761]).
% 228.86/229.23 cnf('0.808.0.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,join(meet(X1,X3),meet(X3,join(X4,X2))))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.7.2.0','0.8.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2.2.2','L')]).
% 228.86/229.23 cnf('0.808.1.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,join(meet(X1,X3),meet(X3,join(X4,X2))))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.808.0.0']),
% 228.86/229.23 [weight('<13,8,7,[0,0,0,10]>')]).
% 228.86/229.23 cnf('0.808.2.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,join(meet(X1,X3),meet(X3,join(X4,X2))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.808.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_799]).
% 228.86/229.23 cnf('0.1740.0.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,meet(join(X4,X2),X3))))) = meet(X1,join(X2,join(meet(X1,X3),meet(X3,join(X4,X2))))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.7.2.0','0.144.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2.2','L')]).
% 228.86/229.23 cnf('0.1740.1.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,meet(join(X4,X2),X3))))) = meet(X1,join(X2,join(meet(X1,X3),meet(X3,join(X4,X2))))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.1740.0.0']),
% 228.86/229.23 [weight('<13,144,7,[0,0,0,8]>')]).
% 228.86/229.23 cnf('0.1740.1.1',plain,
% 228.86/229.23 ( meet(X1,join(X2,join(meet(X1,X3),meet(join(X4,X2),X3)))) = meet(X1,join(X2,join(meet(X1,X3),meet(X3,join(X4,X2))))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.1740.1.0','0.767.2.0',theory(equality)]),
% 228.86/229.23 [pos('L','L')]).
% 228.86/229.23 cnf('0.1740.1.2',plain,
% 228.86/229.23 ( meet(X1,join(X2,join(meet(X1,X3),meet(join(X4,X2),X3)))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.1740.1.1','0.808.2.0',theory(equality)]),
% 228.86/229.23 [pos('R','L')]).
% 228.86/229.23 cnf('0.1740.2.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,join(meet(X1,X3),meet(join(X4,X2),X3)))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.1740.1.2',theory(equality)]),
% 228.86/229.23 [u,rule_1731]).
% 228.86/229.23 cnf('0.3767.0.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,join(X3,meet(meet(X4,X5),X1)))) = meet(X1,join(X2,join(X3,meet(X4,meet(X5,join(X1,X3)))))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.769.2.0','0.6.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2.2','L')]).
% 228.86/229.23 cnf('0.3767.0.1',plain,
% 228.86/229.23 ( meet(X1,join(X2,join(X3,meet(X4,meet(X5,X1))))) = meet(X1,join(X2,join(X3,meet(X4,meet(X5,join(X1,X3)))))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.3767.0.0','0.6.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2.2','L')]).
% 228.86/229.23 cnf('0.3767.1.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,join(X3,meet(X4,meet(X5,X1))))) = meet(X1,join(X2,join(X3,meet(X4,meet(X5,join(X1,X3)))))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.3767.0.1']),
% 228.86/229.23 [weight('<13,769,6,[1,0,0,6]>')]).
% 228.86/229.23 cnf('0.3767.2.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,join(X3,meet(X4,meet(X5,join(X1,X3)))))) = meet(X1,join(X2,join(X3,meet(X4,meet(X5,X1))))) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.3767.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_3755]).
% 228.86/229.23 cnf('0.4364.0.0',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X3),meet(X4,join(X1,X2)))) = meet(X1,join(meet(X2,X3),join(meet(X1,X4),meet(X2,X4)))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.1740.2.0','0.4.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2.2.1','L')]).
% 228.86/229.23 cnf('0.4364.1.0',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X3),meet(X4,join(X1,X2)))) = meet(X1,join(meet(X2,X3),join(meet(X1,X4),meet(X2,X4)))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.4364.0.0']),
% 228.86/229.23 [weight('<13,1740,4,[1,0,0,9]>')]).
% 228.86/229.23 cnf('0.4364.2.0',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X3),join(meet(X1,X4),meet(X2,X4)))) = meet(X1,join(meet(X2,X3),meet(X4,join(X1,X2)))) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.4364.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_4348]).
% 228.86/229.23 cnf('0.4686.0.0',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X3),meet(X4,join(X1,X2)))) = meet(X1,join(meet(X1,X4),join(meet(X2,X3),meet(X2,X4)))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.4364.2.0','0.110.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2','L')]).
% 228.86/229.23 cnf('0.4686.1.0',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X3),meet(X4,join(X1,X2)))) = meet(X1,join(meet(X1,X4),join(meet(X2,X3),meet(X2,X4)))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.4686.0.0']),
% 228.86/229.23 [weight('<13,4364,110,[1,0,0,2]>')]).
% 228.86/229.23 cnf('0.4686.2.0',plain,
% 228.86/229.23 ( meet(X1,join(meet(X1,X2),join(meet(X3,X4),meet(X3,X2)))) = meet(X1,join(meet(X3,X4),meet(X2,join(X1,X3)))) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.4686.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_4651]).
% 228.86/229.23 cnf('0.4808.0.0',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X3),meet(meet(X4,join(X1,meet(X2,X3))),join(X1,X2)))) = meet(X1,join(meet(X1,meet(X4,join(X1,meet(X2,X3)))),join(meet(X2,X3),meet(X2,meet(X4,X1))))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.4686.2.0','0.3767.2.0',theory(equality)]),
% 228.86/229.23 [pos('L','L')]).
% 228.86/229.23 cnf('0.4808.0.1',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X3),meet(X4,meet(join(X1,meet(X2,X3)),join(X1,X2))))) = meet(X1,join(meet(X1,meet(X4,join(X1,meet(X2,X3)))),join(meet(X2,X3),meet(X2,meet(X4,X1))))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.4808.0.0','0.6.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2','L')]).
% 228.86/229.23 cnf('0.4808.0.2',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X3),meet(X4,meet(join(X1,X2),X1)))) = meet(X1,join(meet(X1,meet(X4,join(X1,meet(X2,X3)))),join(meet(X2,X3),meet(X2,meet(X4,X1))))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.4808.0.1','0.610.2.0',theory(equality)]),
% 228.86/229.23 [pos('L','L')]).
% 228.86/229.23 cnf('0.4808.0.3',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X3),meet(X4,meet(join(X1,X2),X1)))) = meet(X1,join(meet(X1,X4),join(meet(X2,X3),meet(X2,meet(X4,X1))))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.4808.0.2','0.28.2.0',theory(equality)]),
% 228.86/229.23 [pos('R.2.1','L')]).
% 228.86/229.23 cnf('0.4808.0.4',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X3),meet(X4,meet(join(X1,X2),X1)))) = meet(X1,join(meet(X1,X4),meet(X2,X3))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.4808.0.3','0.285.2.0',theory(equality)]),
% 228.86/229.23 [pos('R.2','L')]).
% 228.86/229.23 cnf('0.4808.1.0',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X3),meet(X4,meet(join(X1,X2),X1)))) = meet(X1,join(meet(X1,X4),meet(X2,X3))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.4808.0.4']),
% 228.86/229.23 [weight('<13,4686,3767,[1,0,0,0]>')]).
% 228.86/229.23 cnf('0.4808.1.1',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X3),meet(X4,meet(X1,join(X1,X2))))) = meet(X1,join(meet(X1,X4),meet(X2,X3))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.4808.1.0','0.5.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2.2','L')]).
% 228.86/229.23 cnf('0.4808.1.2',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X3),meet(X4,X1))) = meet(X1,join(meet(X1,X4),meet(X2,X3))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.4808.1.1','0.2.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2.2','L')]).
% 228.86/229.23 cnf('0.4808.2.0',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,X3),meet(X4,X1))) = meet(X1,join(meet(X1,X4),meet(X2,X3))) ),
% 228.86/229.23 inference(activate,[status(thm)],['0.4808.1.2']),
% 228.86/229.23 [equation_45]).
% 228.86/229.23 cnf('0.5557.0.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(meet(X3,join(X1,X2)),meet(X1,join(X2,meet(X3,X1))))) ),
% 228.86/229.23 inference(cp,[status(thm)],['0.152.2.0','0.142.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2','L')]).
% 228.86/229.23 cnf('0.5557.0.1',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(meet(X3,join(X1,X2)),meet(X1,join(X2,meet(X3,X1))))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['0.5557.0.0','0.142.2.0',theory(equality)]),
% 228.86/229.23 [pos('L','L')]).
% 228.86/229.23 cnf('0.5557.1.0',plain,
% 228.86/229.23 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(meet(X3,join(X1,X2)),meet(X1,join(X2,meet(X3,X1))))) ),
% 228.86/229.23 inference(weigh,[status(thm)],['0.5557.0.1']),
% 228.86/229.23 [weight('<15,152,142,[1,0,0,4]>')]).
% 228.86/229.23 cnf('0.5557.2.0',plain,
% 228.86/229.23 ( meet(X1,join(meet(X2,join(X1,X3)),meet(X1,join(X3,meet(X2,X1))))) = meet(X1,join(X3,meet(X2,X1))) ),
% 228.86/229.23 inference(orient,[status(thm)],['0.5557.1.0',theory(equality)]),
% 228.86/229.23 [x,rule_5442]).
% 228.86/229.23 cnf('1.0.0.0',conjecture,
% 228.86/229.23 ( meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) = meet(a,join(b,meet(a,c))) ),
% 228.86/229.23 file('/tmp/WALDMEISTER_6939_n020',conjecture_1)).
% 228.86/229.23 cnf('1.0.0.1',plain,
% 228.86/229.23 ( meet(a,join(meet(c,join(a,b)),meet(join(b,meet(a,c)),a))) = meet(a,join(b,meet(a,c))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['1.0.0.0','0.4808.2.0',theory(equality)]),
% 228.86/229.23 [pos('L','R')]).
% 228.86/229.23 cnf('1.0.0.2',plain,
% 228.86/229.23 ( meet(a,join(meet(c,join(a,b)),meet(a,join(b,meet(a,c))))) = meet(a,join(b,meet(a,c))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['1.0.0.1','0.5.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2','L')]).
% 228.86/229.23 cnf('1.0.0.3',plain,
% 228.86/229.23 ( meet(a,join(meet(c,join(a,b)),meet(a,join(b,meet(c,a))))) = meet(a,join(b,meet(a,c))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['1.0.0.2','0.5.2.0',theory(equality)]),
% 228.86/229.23 [pos('L.2.2.2.2','L')]).
% 228.86/229.23 cnf('1.0.0.4',plain,
% 228.86/229.23 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(a,c))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['1.0.0.3','0.5557.2.0',theory(equality)]),
% 228.86/229.23 [pos('L','L')]).
% 228.86/229.23 cnf('1.0.0.5',plain,
% 228.86/229.23 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(c,a))) ),
% 228.86/229.23 inference(reduction,[status(thm)],['1.0.0.4','0.5.2.0',theory(equality)]),
% 228.86/229.23 [pos('R.2.2','L')]).
% 228.86/229.23 cnf('1.0.0.6',plain,
% 228.86/229.23 ( $true ),
% 228.86/229.23 inference(trivial,[status(thm)],['1.0.0.5',theory(equality)]),
% 228.86/229.23 [conjecture_1]).
% 228.86/229.23
% 228.86/229.23 Proved Goals:
% 228.86/229.23 No. 1: meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ?= meet(a,join(b,meet(a,c))) joined, current: meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(c,a)))
% 228.86/229.23 1 goal was specified, which was proved.
% 228.86/229.23 % SZS output end CNFRefutation
% 228.86/229.23 #END OF PROOF
% 228.86/229.23
% 228.86/229.23 Problem WALDMEISTER_6939_n020
% 228.86/229.23 CPs.gen 45176179
% 228.86/229.23 CPs.reexp 0
% 228.86/229.23 Select 831671
% 228.86/229.23 R 5442
% 228.86/229.23 E 115
% 228.86/229.23 vsize 13.3M
% 228.86/229.23 rss 8.6M
% 228.86/229.23 process.time 228.188s
% 228.86/229.23 wallclock.time 228.188s
% 228.86/229.23 status S
% 228.86/229.23
% 228.86/229.23
% 228.86/229.23 Waldmeister states: Goal proved.
% 228.86/229.23 % SZS status Unsatisfiable
%------------------------------------------------------------------------------