TSTP Solution File: LAT013-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT013-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n004.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 07:14:42 EDT 2022
% Result : Unsatisfiable 0.99s 1.38s
% Output : CNFRefutation 0.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT013-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.11 % Command : woody %s
% 0.11/0.31 % Computer : n004.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Wed Jun 29 01:32:38 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.59/0.96 ********************************************************************************
% 0.59/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.96 * |/ | \/ | *
% 0.59/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.96 * A. Jaeger and B. Loechner | | *
% 0.59/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.96 ********************************************************************************
% 0.59/0.96
% 0.59/0.96
% 0.59/0.96 Goals:
% 0.59/0.96 ------
% 0.59/0.96
% 0.59/0.96 ( 1) meet(meet(a,b),c) ?=? meet(a,meet(b,c))
% 0.59/0.96
% 0.59/0.96 Detected structure: Orkus
% 0.59/0.96 ********************************************************************************
% 0.59/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.96 ********************************************************************************
% 0.59/0.96
% 0.99/1.38 joined goal: 1 meet(meet(a,b),c) ?= meet(a,meet(b,c)) to meet(a,meet(c,b))
% 0.99/1.38 goal joined
% 0.99/1.38 % SZS status Unsatisfiable
% 0.99/1.38 #START OF PROOF
% 0.99/1.38 % SZS output start CNFRefutation
% 0.99/1.38 cnf('0.1.0.0',axiom,
% 0.99/1.38 ( X1 = join(X1,meet(X2,meet(X1,X3))) ),
% 0.99/1.38 file('/tmp/WALDMEISTER_605_n004')).
% 0.99/1.38 cnf('0.1.1.0',plain,
% 0.99/1.38 ( X1 = join(X1,meet(X2,meet(X1,X3))) ),
% 0.99/1.38 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.99/1.38 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.99/1.38 cnf('0.1.2.0',plain,
% 0.99/1.38 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 0.99/1.38 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.99/1.38 [x,rule_1]).
% 0.99/1.38 cnf('0.2.0.0',axiom,
% 0.99/1.38 ( X1 = join(join(meet(X2,X1),meet(X1,X3)),X1) ),
% 0.99/1.38 file('/tmp/WALDMEISTER_605_n004')).
% 0.99/1.38 cnf('0.2.1.0',plain,
% 0.99/1.38 ( X1 = join(join(meet(X2,X1),meet(X1,X3)),X1) ),
% 0.99/1.38 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.99/1.38 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.99/1.38 cnf('0.2.2.0',plain,
% 0.99/1.38 ( join(join(meet(X1,X2),meet(X2,X3)),X2) = X2 ),
% 0.99/1.38 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.99/1.38 [x,rule_2]).
% 0.99/1.38 cnf('0.3.0.0',axiom,
% 0.99/1.38 ( X1 = meet(X1,join(X2,join(X1,X3))) ),
% 0.99/1.38 file('/tmp/WALDMEISTER_605_n004')).
% 0.99/1.38 cnf('0.3.1.0',plain,
% 0.99/1.38 ( X1 = meet(X1,join(X2,join(X1,X3))) ),
% 0.99/1.38 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.99/1.38 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.99/1.38 cnf('0.3.2.0',plain,
% 0.99/1.38 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 0.99/1.39 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_3]).
% 0.99/1.39 cnf('0.4.0.0',axiom,
% 0.99/1.39 ( X1 = meet(meet(join(X2,X1),join(X1,X3)),X1) ),
% 0.99/1.39 file('/tmp/WALDMEISTER_605_n004')).
% 0.99/1.39 cnf('0.4.1.0',plain,
% 0.99/1.39 ( X1 = meet(meet(join(X2,X1),join(X1,X3)),X1) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.99/1.39 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.99/1.39 cnf('0.4.2.0',plain,
% 0.99/1.39 ( meet(meet(join(X1,X2),join(X2,X3)),X2) = X2 ),
% 0.99/1.39 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_4]).
% 0.99/1.39 cnf('0.5.0.0',plain,
% 0.99/1.39 ( X1 = join(meet(X2,X1),X1) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1','L')]).
% 0.99/1.39 cnf('0.5.1.0',plain,
% 0.99/1.39 ( X1 = join(meet(X2,X1),X1) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.99/1.39 [weight('<41,2,1,[1,0,0,1]>')]).
% 0.99/1.39 cnf('0.5.2.0',plain,
% 0.99/1.39 ( join(meet(X1,X2),X2) = X2 ),
% 0.99/1.39 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_5]).
% 0.99/1.39 cnf('0.7.0.0',plain,
% 0.99/1.39 ( X1 = join(X1,meet(X2,X1)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2.2','L')]).
% 0.99/1.39 cnf('0.7.1.0',plain,
% 0.99/1.39 ( X1 = join(X1,meet(X2,X1)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.99/1.39 [weight('<41,3,1,[0,0,0,4]>')]).
% 0.99/1.39 cnf('0.7.2.0',plain,
% 0.99/1.39 ( join(X1,meet(X2,X1)) = X1 ),
% 0.99/1.39 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_7]).
% 0.99/1.39 cnf('0.8.0.0',plain,
% 0.99/1.39 ( X1 = meet(X1,join(X2,X1)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2.2','L')]).
% 0.99/1.39 cnf('0.8.1.0',plain,
% 0.99/1.39 ( X1 = meet(X1,join(X2,X1)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.99/1.39 [weight('<41,3,1,[1,0,0,4]>')]).
% 0.99/1.39 cnf('0.8.2.0',plain,
% 0.99/1.39 ( meet(X1,join(X2,X1)) = X1 ),
% 0.99/1.39 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_8]).
% 0.99/1.39 cnf('0.10.0.0',plain,
% 0.99/1.39 ( X1 = meet(X1,join(X1,X2)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.10.1.0',plain,
% 0.99/1.39 ( X1 = meet(X1,join(X1,X2)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.99/1.39 [weight('<41,3,2,[1,0,0,2]>')]).
% 0.99/1.39 cnf('0.10.2.0',plain,
% 0.99/1.39 ( meet(X1,join(X1,X2)) = X1 ),
% 0.99/1.39 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_10]).
% 0.99/1.39 cnf('0.11.0.0',plain,
% 0.99/1.39 ( X1 = join(X1,meet(X1,X2)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.11.1.0',plain,
% 0.99/1.39 ( X1 = join(X1,meet(X1,X2)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.99/1.39 [weight('<41,4,1,[0,0,0,2]>')]).
% 0.99/1.39 cnf('0.11.2.0',plain,
% 0.99/1.39 ( join(X1,meet(X1,X2)) = X1 ),
% 0.99/1.39 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_11]).
% 0.99/1.39 cnf('0.12.0.0',plain,
% 0.99/1.39 ( X1 = meet(join(X2,X1),X1) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1','L')]).
% 0.99/1.39 cnf('0.12.1.0',plain,
% 0.99/1.39 ( X1 = meet(join(X2,X1),X1) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.99/1.39 [weight('<41,4,3,[1,0,0,1]>')]).
% 0.99/1.39 cnf('0.12.2.0',plain,
% 0.99/1.39 ( meet(join(X1,X2),X2) = X2 ),
% 0.99/1.39 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_12]).
% 0.99/1.39 cnf('0.13.0.0',plain,
% 0.99/1.39 ( join(X1,X2) = join(X2,join(X1,X2)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1','L')]).
% 0.99/1.39 cnf('0.13.1.0',plain,
% 0.99/1.39 ( join(X1,X2) = join(X2,join(X1,X2)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.99/1.39 [weight('<53,8,5,[0,0,0,1]>')]).
% 0.99/1.39 cnf('0.13.2.0',plain,
% 0.99/1.39 ( join(X1,join(X2,X1)) = join(X2,X1) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_13]).
% 0.99/1.39 cnf('0.14.0.0',plain,
% 0.99/1.39 ( join(X1,meet(X1,X2)) = join(meet(X1,X2),X1) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.13.2.0','0.11.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.14.0.1',plain,
% 0.99/1.39 ( X1 = join(meet(X1,X2),X1) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.14.0.0','0.11.2.0',theory(equality)]),
% 0.99/1.39 [pos('L','L')]).
% 0.99/1.39 cnf('0.14.1.0',plain,
% 0.99/1.39 ( X1 = join(meet(X1,X2),X1) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.99/1.39 [weight('<41,13,11,[1,0,0,2]>')]).
% 0.99/1.39 cnf('0.14.2.0',plain,
% 0.99/1.39 ( join(meet(X1,X2),X1) = X1 ),
% 0.99/1.39 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_14]).
% 0.99/1.39 cnf('0.17.0.0',plain,
% 0.99/1.39 ( join(X1,X2) = join(X1,join(X1,X2)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.5.2.0','0.10.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1','L')]).
% 0.99/1.39 cnf('0.17.1.0',plain,
% 0.99/1.39 ( join(X1,X2) = join(X1,join(X1,X2)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.99/1.39 [weight('<53,10,5,[0,0,0,1]>')]).
% 0.99/1.39 cnf('0.17.2.0',plain,
% 0.99/1.39 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_17]).
% 0.99/1.39 cnf('0.18.0.0',plain,
% 0.99/1.39 ( join(X1,X2) = join(join(X1,X2),X1) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.7.2.0','0.10.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.18.1.0',plain,
% 0.99/1.39 ( join(X1,X2) = join(join(X1,X2),X1) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.99/1.39 [weight('<53,10,7,[0,0,0,2]>')]).
% 0.99/1.39 cnf('0.18.2.0',plain,
% 0.99/1.39 ( join(join(X1,X2),X1) = join(X1,X2) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_18]).
% 0.99/1.39 cnf('0.19.0.0',plain,
% 0.99/1.39 ( X1 = meet(join(X1,X2),X1) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.12.2.0','0.18.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1','L')]).
% 0.99/1.39 cnf('0.19.1.0',plain,
% 0.99/1.39 ( X1 = meet(join(X1,X2),X1) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.99/1.39 [weight('<41,18,12,[0,0,0,1]>')]).
% 0.99/1.39 cnf('0.19.2.0',plain,
% 0.99/1.39 ( meet(join(X1,X2),X1) = X1 ),
% 0.99/1.39 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_19]).
% 0.99/1.39 cnf('0.20.0.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.8.2.0','0.11.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.20.1.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.99/1.39 [weight('<53,11,8,[0,0,0,2]>')]).
% 0.99/1.39 cnf('0.20.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),X1) = meet(X1,X2) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_20]).
% 0.99/1.39 cnf('0.21.0.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(X2,meet(X1,X2)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.12.2.0','0.7.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1','L')]).
% 0.99/1.39 cnf('0.21.1.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(X2,meet(X1,X2)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.99/1.39 [weight('<53,12,7,[1,0,0,1]>')]).
% 0.99/1.39 cnf('0.21.2.0',plain,
% 0.99/1.39 ( meet(X1,meet(X2,X1)) = meet(X2,X1) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_21]).
% 0.99/1.39 cnf('0.25.0.0',plain,
% 0.99/1.39 ( X1 = meet(X1,join(join(X1,X2),X3)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.3.2.0','0.18.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.25.1.0',plain,
% 0.99/1.39 ( X1 = meet(X1,join(join(X1,X2),X3)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.99/1.39 [weight('<71,18,3,[0,0,0,2]>')]).
% 0.99/1.39 cnf('0.25.2.0',plain,
% 0.99/1.39 ( meet(X1,join(join(X1,X2),X3)) = X1 ),
% 0.99/1.39 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_25]).
% 0.99/1.39 cnf('0.26.0.0',plain,
% 0.99/1.39 ( X1 = join(X1,meet(meet(X1,X2),X3)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.1.2.0','0.20.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.26.1.0',plain,
% 0.99/1.39 ( X1 = join(X1,meet(meet(X1,X2),X3)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.99/1.39 [weight('<71,20,1,[0,0,0,2]>')]).
% 0.99/1.39 cnf('0.26.2.0',plain,
% 0.99/1.39 ( join(X1,meet(meet(X1,X2),X3)) = X1 ),
% 0.99/1.39 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_26]).
% 0.99/1.39 cnf('0.37.0.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(X1,X2),join(X3,X2)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.3.2.0','0.5.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2.2','L')]).
% 0.99/1.39 cnf('0.37.1.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(X1,X2),join(X3,X2)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.99/1.39 [weight('<87,5,3,[0,0,0,4]>')]).
% 0.99/1.39 cnf('0.37.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),join(X3,X2)) = meet(X1,X2) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_37]).
% 0.99/1.39 cnf('0.44.0.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(X1,X2),join(X1,X3)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.25.2.0','0.14.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2.1','L')]).
% 0.99/1.39 cnf('0.44.1.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(X1,X2),join(X1,X3)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.99/1.39 [weight('<87,25,14,[1,0,0,3]>')]).
% 0.99/1.39 cnf('0.44.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),join(X1,X3)) = meet(X1,X2) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_44]).
% 0.99/1.39 cnf('0.54.0.0',plain,
% 0.99/1.39 ( join(X1,join(X2,X3)) = join(join(X2,meet(join(X1,join(X2,X3)),X4)),join(X1,join(X2,X3))) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.2.2.0','0.3.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1.1','L')]).
% 0.99/1.39 cnf('0.54.1.0',plain,
% 0.99/1.39 ( join(X1,join(X2,X3)) = join(join(X2,meet(join(X1,join(X2,X3)),X4)),join(X1,join(X2,X3))) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.99/1.39 [weight('<?,3,2,[0,0,0,2]>')]).
% 0.99/1.39 cnf('0.54.2.0',plain,
% 0.99/1.39 ( join(join(X1,meet(join(X2,join(X1,X3)),X4)),join(X2,join(X1,X3))) = join(X2,join(X1,X3)) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_54]).
% 0.99/1.39 cnf('0.70.0.0',plain,
% 0.99/1.39 ( X1 = meet(meet(join(X2,X1),join(X3,X1)),X1) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.4.2.0','0.13.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1.2','L')]).
% 0.99/1.39 cnf('0.70.1.0',plain,
% 0.99/1.39 ( X1 = meet(meet(join(X2,X1),join(X3,X1)),X1) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.70.0.0']),
% 0.99/1.39 [weight('<109,13,4,[0,0,0,5]>')]).
% 0.99/1.39 cnf('0.70.2.0',plain,
% 0.99/1.39 ( meet(meet(join(X1,X2),join(X3,X2)),X2) = X2 ),
% 0.99/1.39 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_70]).
% 0.99/1.39 cnf('0.74.0.0',plain,
% 0.99/1.39 ( meet(meet(join(X1,X2),join(X2,X3)),X2) = meet(X2,meet(join(X1,X2),join(X2,X3))) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.20.2.0','0.4.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1','L')]).
% 0.99/1.39 cnf('0.74.0.1',plain,
% 0.99/1.39 ( X2 = meet(X2,meet(join(X1,X2),join(X2,X3))) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.74.0.0','0.4.2.0',theory(equality)]),
% 0.99/1.39 [pos('L','L')]).
% 0.99/1.39 cnf('0.74.1.0',plain,
% 0.99/1.39 ( X2 = meet(X2,meet(join(X1,X2),join(X2,X3))) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.74.0.1']),
% 0.99/1.39 [weight('<109,20,4,[1,0,0,1]>')]).
% 0.99/1.39 cnf('0.74.2.0',plain,
% 0.99/1.39 ( meet(X1,meet(join(X2,X1),join(X1,X3))) = X1 ),
% 0.99/1.39 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_74]).
% 0.99/1.39 cnf('0.110.0.0',plain,
% 0.99/1.39 ( meet(meet(join(X1,X2),join(X3,X2)),X2) = meet(X2,meet(join(X1,X2),join(X3,X2))) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.20.2.0','0.70.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1','L')]).
% 0.99/1.39 cnf('0.110.0.1',plain,
% 0.99/1.39 ( X2 = meet(X2,meet(join(X1,X2),join(X3,X2))) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.110.0.0','0.70.2.0',theory(equality)]),
% 0.99/1.39 [pos('L','L')]).
% 0.99/1.39 cnf('0.110.1.0',plain,
% 0.99/1.39 ( X2 = meet(X2,meet(join(X1,X2),join(X3,X2))) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.110.0.1']),
% 0.99/1.39 [weight('<109,70,20,[0,0,0,1]>')]).
% 0.99/1.39 cnf('0.110.2.0',plain,
% 0.99/1.39 ( meet(X1,meet(join(X2,X1),join(X3,X1))) = X1 ),
% 0.99/1.39 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_110]).
% 0.99/1.39 cnf('0.182.0.0',plain,
% 0.99/1.39 ( join(X1,join(X2,X3)) = join(join(X2,X1),join(X1,join(X2,X3))) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.54.2.0','0.19.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1.2','L')]).
% 0.99/1.39 cnf('0.182.1.0',plain,
% 0.99/1.39 ( join(X1,join(X2,X3)) = join(join(X2,X1),join(X1,join(X2,X3))) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.182.0.0']),
% 0.99/1.39 [weight('<149,54,19,[1,0,0,3]>')]).
% 0.99/1.39 cnf('0.182.2.0',plain,
% 0.99/1.39 ( join(join(X1,X2),join(X2,join(X1,X3))) = join(X2,join(X1,X3)) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.182.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_182]).
% 0.99/1.39 cnf('0.183.0.0',plain,
% 0.99/1.39 ( join(X1,join(X2,meet(X3,meet(X2,X4)))) = join(join(X2,X1),join(X1,X2)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.182.2.0','0.1.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2.2','L')]).
% 0.99/1.39 cnf('0.183.0.1',plain,
% 0.99/1.39 ( join(X1,X2) = join(join(X2,X1),join(X1,X2)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.183.0.0','0.1.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.183.1.0',plain,
% 0.99/1.39 ( join(X1,X2) = join(join(X2,X1),join(X1,X2)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.183.0.1']),
% 0.99/1.39 [weight('<87,182,1,[1,0,0,6]>')]).
% 0.99/1.39 cnf('0.183.2.0',plain,
% 0.99/1.39 ( join(join(X1,X2),join(X2,X1)) = join(X2,X1) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.183.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_183]).
% 0.99/1.39 cnf('0.184.0.0',plain,
% 0.99/1.39 ( join(join(X1,X2),join(X2,X1)) = join(join(X2,X1),join(X1,X2)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.18.2.0','0.183.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1','L')]).
% 0.99/1.39 cnf('0.184.0.1',plain,
% 0.99/1.39 ( join(X2,X1) = join(join(X2,X1),join(X1,X2)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.184.0.0','0.183.2.0',theory(equality)]),
% 0.99/1.39 [pos('L','L')]).
% 0.99/1.39 cnf('0.184.0.2',plain,
% 0.99/1.39 ( join(X2,X1) = join(X1,X2) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.184.0.1','0.183.2.0',theory(equality)]),
% 0.99/1.39 [pos('R','L')]).
% 0.99/1.39 cnf('0.184.1.0',plain,
% 0.99/1.39 ( join(X2,X1) = join(X1,X2) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.184.0.2']),
% 0.99/1.39 [weight('<48,183,18,[0,0,0,1]>')]).
% 0.99/1.39 cnf('0.184.2.0',plain,
% 0.99/1.39 ( join(X1,X2) = join(X2,X1) ),
% 0.99/1.39 inference(activate,[status(thm)],['0.184.1.0']),
% 0.99/1.39 [equation_1]).
% 0.99/1.39 cnf('0.186.0.0',plain,
% 0.99/1.39 ( join(X1,X2) = meet(join(X1,X2),join(X2,join(X1,X3))) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.10.2.0','0.182.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.186.1.0',plain,
% 0.99/1.39 ( join(X1,X2) = meet(join(X1,X2),join(X2,join(X1,X3))) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.186.0.0']),
% 0.99/1.39 [weight('<129,182,10,[0,0,0,2]>')]).
% 0.99/1.39 cnf('0.186.2.0',plain,
% 0.99/1.39 ( meet(join(X1,X2),join(X2,join(X1,X3))) = join(X1,X2) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.186.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_185]).
% 0.99/1.39 cnf('0.187.0.0',plain,
% 0.99/1.39 ( join(X1,X2) = meet(join(X2,join(X1,X3)),join(X1,X2)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.19.2.0','0.182.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1','L')]).
% 0.99/1.39 cnf('0.187.1.0',plain,
% 0.99/1.39 ( join(X1,X2) = meet(join(X2,join(X1,X3)),join(X1,X2)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.187.0.0']),
% 0.99/1.39 [weight('<129,182,19,[0,0,0,1]>')]).
% 0.99/1.39 cnf('0.187.2.0',plain,
% 0.99/1.39 ( meet(join(X1,join(X2,X3)),join(X2,X1)) = join(X2,X1) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_186]).
% 0.99/1.39 cnf('0.196.0.0',plain,
% 0.99/1.39 ( join(X1,X2) = meet(join(X1,X2),join(X2,join(X3,X1))) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.186.2.0','0.13.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2.2','L')]).
% 0.99/1.39 cnf('0.196.1.0',plain,
% 0.99/1.39 ( join(X1,X2) = meet(join(X1,X2),join(X2,join(X3,X1))) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.196.0.0']),
% 0.99/1.39 [weight('<129,186,13,[1,0,0,6]>')]).
% 0.99/1.39 cnf('0.196.2.0',plain,
% 0.99/1.39 ( meet(join(X1,X2),join(X2,join(X3,X1))) = join(X1,X2) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.196.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_195]).
% 0.99/1.39 cnf('0.200.0.0',plain,
% 0.99/1.39 ( join(X1,X2) = meet(join(X2,join(X3,X1)),join(X1,X2)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.187.2.0','0.13.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1.2','L')]).
% 0.99/1.39 cnf('0.200.1.0',plain,
% 0.99/1.39 ( join(X1,X2) = meet(join(X2,join(X3,X1)),join(X1,X2)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.200.0.0']),
% 0.99/1.39 [weight('<129,187,13,[1,0,0,3]>')]).
% 0.99/1.39 cnf('0.200.2.0',plain,
% 0.99/1.39 ( meet(join(X1,join(X2,X3)),join(X3,X1)) = join(X3,X1) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.200.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_199]).
% 0.99/1.39 cnf('0.201.0.0',plain,
% 0.99/1.39 ( join(join(X1,X2),join(X1,X3)) = meet(join(X3,join(X1,X2)),join(join(X1,X2),join(X1,X3))) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.200.2.0','0.182.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1','L')]).
% 0.99/1.39 cnf('0.201.0.1',plain,
% 0.99/1.39 ( join(join(X1,X2),join(X1,X3)) = join(X3,join(X1,X2)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.201.0.0','0.196.2.0',theory(equality)]),
% 0.99/1.39 [pos('R','L')]).
% 0.99/1.39 cnf('0.201.1.0',plain,
% 0.99/1.39 ( join(join(X1,X2),join(X1,X3)) = join(X3,join(X1,X2)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.201.0.1']),
% 0.99/1.39 [weight('<103,200,182,[1,0,0,1]>')]).
% 0.99/1.39 cnf('0.201.2.0',plain,
% 0.99/1.39 ( join(join(X1,X2),join(X1,X3)) = join(X3,join(X1,X2)) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.201.1.0',theory(equality)]),
% 0.99/1.39 [u,rule_200]).
% 0.99/1.39 cnf('0.202.0.0',plain,
% 0.99/1.39 ( join(X1,join(X2,join(X3,X2))) = join(join(X3,X2),join(X2,X1)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.201.2.0','0.13.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1','L')]).
% 0.99/1.39 cnf('0.202.0.1',plain,
% 0.99/1.39 ( join(X1,join(X3,X2)) = join(join(X3,X2),join(X2,X1)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.202.0.0','0.13.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.202.1.0',plain,
% 0.99/1.39 ( join(X1,join(X3,X2)) = join(join(X3,X2),join(X2,X1)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.202.0.1']),
% 0.99/1.39 [weight('<103,201,13,[1,0,0,1]>')]).
% 0.99/1.39 cnf('0.202.2.0',plain,
% 0.99/1.39 ( join(join(X1,X2),join(X2,X3)) = join(X3,join(X1,X2)) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.202.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_201]).
% 0.99/1.39 cnf('0.208.0.0',plain,
% 0.99/1.39 ( join(X1,join(X2,X3)) = join(join(X2,X3),join(X1,X2)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.201.2.0','0.184.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.208.1.0',plain,
% 0.99/1.39 ( join(X1,join(X2,X3)) = join(join(X2,X3),join(X1,X2)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.208.0.0']),
% 0.99/1.39 [weight('<103,201,184,[1,0,0,4]>')]).
% 0.99/1.39 cnf('0.208.2.0',plain,
% 0.99/1.39 ( join(join(X1,X2),join(X3,X1)) = join(X3,join(X1,X2)) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.208.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_207]).
% 0.99/1.39 cnf('0.209.0.0',plain,
% 0.99/1.39 ( join(join(X1,X2),join(X3,X1)) = join(join(X3,X1),join(X1,X2)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.202.2.0','0.17.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.209.0.1',plain,
% 0.99/1.39 ( join(join(X1,X2),join(X3,X1)) = join(X2,join(X3,X1)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.209.0.0','0.202.2.0',theory(equality)]),
% 0.99/1.39 [pos('R','L')]).
% 0.99/1.39 cnf('0.209.1.0',plain,
% 0.99/1.39 ( join(join(X1,X2),join(X3,X1)) = join(X2,join(X3,X1)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.209.0.1']),
% 0.99/1.39 [weight('<103,202,17,[1,0,0,4]>')]).
% 0.99/1.39 cnf('0.209.1.1',plain,
% 0.99/1.39 ( join(X3,join(X1,X2)) = join(X2,join(X3,X1)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.209.1.0','0.208.2.0',theory(equality)]),
% 0.99/1.39 [pos('L','L')]).
% 0.99/1.39 cnf('0.209.2.0',plain,
% 0.99/1.39 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 0.99/1.39 inference(activate,[status(thm)],['0.209.1.1']),
% 0.99/1.39 [equation_2]).
% 0.99/1.39 cnf('0.210.0.0',plain,
% 0.99/1.39 ( join(X1,join(X2,X3)) = join(join(X3,X1),X2) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.209.2.0','0.184.2.0',theory(equality)]),
% 0.99/1.39 [pos('L','L')]).
% 0.99/1.39 cnf('0.210.1.0',plain,
% 0.99/1.39 ( join(X1,join(X2,X3)) = join(join(X3,X1),X2) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.210.0.0']),
% 0.99/1.39 [weight('<65,209,184,[1,0,0,0]>')]).
% 0.99/1.39 cnf('0.210.2.0',plain,
% 0.99/1.39 ( join(join(X1,X2),X3) = join(X2,join(X3,X1)) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.210.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_208]).
% 0.99/1.39 cnf('0.370.0.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(X2,join(X3,meet(X1,X2))),meet(X1,X2)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.70.2.0','0.7.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1.1','L')]).
% 0.99/1.39 cnf('0.370.1.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(X2,join(X3,meet(X1,X2))),meet(X1,X2)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.370.0.0']),
% 0.99/1.39 [weight('<179,70,7,[1,0,0,2]>')]).
% 0.99/1.39 cnf('0.370.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,join(X2,meet(X3,X1))),meet(X3,X1)) = meet(X3,X1) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.370.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_360]).
% 0.99/1.39 cnf('0.371.0.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(X2,X1),meet(X1,X2)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.370.2.0','0.11.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1.2','L')]).
% 0.99/1.39 cnf('0.371.1.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(X2,X1),meet(X1,X2)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.371.0.0']),
% 0.99/1.39 [weight('<87,370,11,[1,0,0,3]>')]).
% 0.99/1.39 cnf('0.371.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(X2,X1)) = meet(X2,X1) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.371.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_361]).
% 0.99/1.39 cnf('0.372.0.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(X2,X1)) = meet(meet(X2,X1),meet(X1,X2)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.20.2.0','0.371.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1','L')]).
% 0.99/1.39 cnf('0.372.0.1',plain,
% 0.99/1.39 ( meet(X2,X1) = meet(meet(X2,X1),meet(X1,X2)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.372.0.0','0.371.2.0',theory(equality)]),
% 0.99/1.39 [pos('L','L')]).
% 0.99/1.39 cnf('0.372.0.2',plain,
% 0.99/1.39 ( meet(X2,X1) = meet(X1,X2) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.372.0.1','0.371.2.0',theory(equality)]),
% 0.99/1.39 [pos('R','L')]).
% 0.99/1.39 cnf('0.372.1.0',plain,
% 0.99/1.39 ( meet(X2,X1) = meet(X1,X2) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.372.0.2']),
% 0.99/1.39 [weight('<48,371,20,[0,0,0,1]>')]).
% 0.99/1.39 cnf('0.372.2.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(X2,X1) ),
% 0.99/1.39 inference(activate,[status(thm)],['0.372.1.0']),
% 0.99/1.39 [equation_11]).
% 0.99/1.39 cnf('0.373.0.0',plain,
% 0.99/1.39 ( meet(X1,X2) = join(meet(X1,X2),meet(X2,X1)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.11.2.0','0.371.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.373.1.0',plain,
% 0.99/1.39 ( meet(X1,X2) = join(meet(X1,X2),meet(X2,X1)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.373.0.0']),
% 0.99/1.39 [weight('<87,371,11,[0,0,0,2]>')]).
% 0.99/1.39 cnf('0.373.2.0',plain,
% 0.99/1.39 ( join(meet(X1,X2),meet(X2,X1)) = meet(X1,X2) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.373.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_362]).
% 0.99/1.39 cnf('0.374.0.0',plain,
% 0.99/1.39 ( meet(X1,X2) = join(meet(X1,X2),meet(X3,meet(X2,X1))) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.1.2.0','0.371.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2.2','L')]).
% 0.99/1.39 cnf('0.374.1.0',plain,
% 0.99/1.39 ( meet(X1,X2) = join(meet(X1,X2),meet(X3,meet(X2,X1))) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.374.0.0']),
% 0.99/1.39 [weight('<129,371,1,[0,0,0,4]>')]).
% 0.99/1.39 cnf('0.374.2.0',plain,
% 0.99/1.39 ( join(meet(X1,X2),meet(X3,meet(X2,X1))) = meet(X1,X2) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.374.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_363]).
% 0.99/1.39 cnf('0.377.0.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(X2,X1)) = meet(meet(X2,X1),join(meet(X1,X2),X3)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.44.2.0','0.371.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1','L')]).
% 0.99/1.39 cnf('0.377.0.1',plain,
% 0.99/1.39 ( meet(X2,X1) = meet(meet(X2,X1),join(meet(X1,X2),X3)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.377.0.0','0.371.2.0',theory(equality)]),
% 0.99/1.39 [pos('L','L')]).
% 0.99/1.39 cnf('0.377.1.0',plain,
% 0.99/1.39 ( meet(X2,X1) = meet(meet(X2,X1),join(meet(X1,X2),X3)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.377.0.1']),
% 0.99/1.39 [weight('<129,371,44,[0,0,0,1]>')]).
% 0.99/1.39 cnf('0.377.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),join(meet(X2,X1),X3)) = meet(X1,X2) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.377.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_366]).
% 0.99/1.39 cnf('0.378.0.0',plain,
% 0.99/1.39 ( join(meet(X1,X2),X3) = join(join(meet(X1,X2),X3),meet(X2,X1)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.7.2.0','0.377.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.378.0.1',plain,
% 0.99/1.39 ( join(meet(X1,X2),X3) = join(X3,join(meet(X2,X1),meet(X1,X2))) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.378.0.0','0.210.2.0',theory(equality)]),
% 0.99/1.39 [pos('R','L')]).
% 0.99/1.39 cnf('0.378.0.2',plain,
% 0.99/1.39 ( join(meet(X1,X2),X3) = join(X3,meet(X2,X1)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.378.0.1','0.373.2.0',theory(equality)]),
% 0.99/1.39 [pos('R.2','L')]).
% 0.99/1.39 cnf('0.378.1.0',plain,
% 0.99/1.39 ( join(meet(X1,X2),X3) = join(X3,meet(X2,X1)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.378.0.2']),
% 0.99/1.39 [weight('<120,377,7,[0,0,0,2]>')]).
% 0.99/1.39 cnf('0.378.2.0',plain,
% 0.99/1.39 ( join(meet(X1,X2),X3) = join(X3,meet(X2,X1)) ),
% 0.99/1.39 inference(activate,[status(thm)],['0.378.1.0']),
% 0.99/1.39 [equation_12]).
% 0.99/1.39 cnf('0.383.0.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(X1,X2),meet(X2,join(meet(X1,X2),X3))) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.74.2.0','0.7.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2.1','L')]).
% 0.99/1.39 cnf('0.383.1.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(X1,X2),meet(X2,join(meet(X1,X2),X3))) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.383.0.0']),
% 0.99/1.39 [weight('<179,74,7,[1,0,0,3]>')]).
% 0.99/1.39 cnf('0.383.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.383.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_371]).
% 0.99/1.39 cnf('0.405.0.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(X1,X2),meet(X2,join(X3,meet(X1,X2)))) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.110.2.0','0.7.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2.1','L')]).
% 0.99/1.39 cnf('0.405.1.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(X1,X2),meet(X2,join(X3,meet(X1,X2)))) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.405.0.0']),
% 0.99/1.39 [weight('<179,110,7,[1,0,0,3]>')]).
% 0.99/1.39 cnf('0.405.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.405.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_393]).
% 0.99/1.39 cnf('0.406.0.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),X3) = meet(meet(meet(X1,X2),X3),meet(X3,X1)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.405.2.0','0.26.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2.2','L')]).
% 0.99/1.39 cnf('0.406.1.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),X3) = meet(meet(meet(X1,X2),X3),meet(X3,X1)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.406.0.0']),
% 0.99/1.39 [weight('<149,405,26,[1,0,0,6]>')]).
% 0.99/1.39 cnf('0.406.1.1',plain,
% 0.99/1.39 ( meet(meet(X1,X2),X3) = meet(meet(X3,X1),meet(meet(X1,X2),X3)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.406.1.0','0.372.2.0',theory(equality)]),
% 0.99/1.39 [pos('R','L')]).
% 0.99/1.39 cnf('0.406.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(meet(X2,X3),X1)) = meet(meet(X2,X3),X1) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.406.1.1',theory(equality)]),
% 0.99/1.39 [x,rule_394]).
% 0.99/1.39 cnf('0.408.0.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),join(X3,X2)) = meet(meet(join(X3,X2),X1),meet(X1,X2)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.406.2.0','0.37.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.408.0.1',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(join(X3,X2),X1),meet(X1,X2)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.408.0.0','0.37.2.0',theory(equality)]),
% 0.99/1.39 [pos('L','L')]).
% 0.99/1.39 cnf('0.408.1.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(join(X3,X2),X1),meet(X1,X2)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.408.0.1']),
% 0.99/1.39 [weight('<129,406,37,[1,0,0,4]>')]).
% 0.99/1.39 cnf('0.408.1.1',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(X1,X2),meet(join(X3,X2),X1)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.408.1.0','0.372.2.0',theory(equality)]),
% 0.99/1.39 [pos('R','L')]).
% 0.99/1.39 cnf('0.408.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(join(X3,X2),X1)) = meet(X1,X2) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.408.1.1',theory(equality)]),
% 0.99/1.39 [x,rule_396]).
% 0.99/1.39 cnf('0.425.0.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),X3) = meet(meet(X1,X3),meet(meet(X1,X2),X3)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.406.2.0','0.372.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1','L')]).
% 0.99/1.39 cnf('0.425.1.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),X3) = meet(meet(X1,X3),meet(meet(X1,X2),X3)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.425.0.0']),
% 0.99/1.39 [weight('<149,406,372,[1,0,0,1]>')]).
% 0.99/1.39 cnf('0.425.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(meet(X1,X3),X2)) = meet(meet(X1,X3),X2) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.425.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_413]).
% 0.99/1.39 cnf('0.426.0.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),X3) = meet(meet(X3,X1),meet(X3,meet(X1,X2))) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.406.2.0','0.372.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.426.1.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),X3) = meet(meet(X3,X1),meet(X3,meet(X1,X2))) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.426.0.0']),
% 0.99/1.39 [weight('<149,406,372,[1,0,0,4]>')]).
% 0.99/1.39 cnf('0.426.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(meet(X2,X3),X1) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.426.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_414]).
% 0.99/1.39 cnf('0.430.0.0',plain,
% 0.99/1.39 ( meet(X1,meet(X2,X3)) = meet(meet(X1,meet(X2,X3)),meet(X2,X1)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.408.2.0','0.11.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2.1','L')]).
% 0.99/1.39 cnf('0.430.1.0',plain,
% 0.99/1.39 ( meet(X1,meet(X2,X3)) = meet(meet(X1,meet(X2,X3)),meet(X2,X1)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.430.0.0']),
% 0.99/1.39 [weight('<149,408,11,[1,0,0,5]>')]).
% 0.99/1.39 cnf('0.430.1.1',plain,
% 0.99/1.39 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X1),meet(X1,meet(X2,X3))) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.430.1.0','0.372.2.0',theory(equality)]),
% 0.99/1.39 [pos('R','L')]).
% 0.99/1.39 cnf('0.430.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(X2,meet(X1,X3))) = meet(X2,meet(X1,X3)) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.430.1.1',theory(equality)]),
% 0.99/1.39 [x,rule_418]).
% 0.99/1.39 cnf('0.431.0.0',plain,
% 0.99/1.39 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X1,X3)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.374.2.0','0.408.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.431.1.0',plain,
% 0.99/1.39 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X1,X3)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.431.0.0']),
% 0.99/1.39 [weight('<149,408,374,[0,0,0,4]>')]).
% 0.99/1.39 cnf('0.431.1.1',plain,
% 0.99/1.39 ( meet(X1,join(X2,X3)) = join(meet(X1,X3),meet(join(X2,X3),X1)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.431.1.0','0.378.2.0',theory(equality)]),
% 0.99/1.39 [pos('R','L')]).
% 0.99/1.39 cnf('0.431.2.0',plain,
% 0.99/1.39 ( join(meet(X1,X2),meet(join(X3,X2),X1)) = meet(X1,join(X3,X2)) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.431.1.1',theory(equality)]),
% 0.99/1.39 [x,rule_419]).
% 0.99/1.39 cnf('0.432.0.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(meet(X1,X2),meet(X2,meet(X1,join(X3,X2)))) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.383.2.0','0.431.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2.2','L')]).
% 0.99/1.39 cnf('0.432.0.1',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(X2,meet(X1,join(X3,X2))) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.432.0.0','0.430.2.0',theory(equality)]),
% 0.99/1.39 [pos('R','L')]).
% 0.99/1.39 cnf('0.432.1.0',plain,
% 0.99/1.39 ( meet(X1,X2) = meet(X2,meet(X1,join(X3,X2))) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.432.0.1']),
% 0.99/1.39 [weight('<87,431,383,[0,0,0,6]>')]).
% 0.99/1.39 cnf('0.432.2.0',plain,
% 0.99/1.39 ( meet(X1,meet(X2,join(X3,X1))) = meet(X2,X1) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.432.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_420]).
% 0.99/1.39 cnf('0.436.0.0',plain,
% 0.99/1.39 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X1,X3)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.432.2.0','0.7.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2.2','L')]).
% 0.99/1.39 cnf('0.436.1.0',plain,
% 0.99/1.39 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X1,X3)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.436.0.0']),
% 0.99/1.39 [weight('<103,432,7,[1,0,0,4]>')]).
% 0.99/1.39 cnf('0.436.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(X3,X2)) = meet(X3,meet(X1,X2)) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.436.1.0',theory(equality)]),
% 0.99/1.39 [x,rule_424]).
% 0.99/1.39 cnf('0.437.0.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(meet(X1,X3),X2)) = meet(meet(X1,X3),X2) ),
% 0.99/1.39 inference(interreduction_right,[status(thm)],['0.425.2.0'])).
% 0.99/1.39 cnf('0.437.0.1',plain,
% 0.99/1.39 ( meet(meet(X1,X3),meet(X1,X2)) = meet(meet(X1,X3),X2) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.437.0.0','0.436.2.0',theory(equality)]),
% 0.99/1.39 [pos('L','L')]).
% 0.99/1.39 cnf('0.437.1.0',plain,
% 0.99/1.39 ( meet(meet(X1,X3),meet(X1,X2)) = meet(meet(X1,X3),X2) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.437.0.1']),
% 0.99/1.39 [weight('<103,425,436,[0,0,0,0]>')]).
% 0.99/1.39 cnf('0.437.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(X1,X3)) = meet(meet(X1,X2),X3) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.437.1.0',theory(equality)]),
% 0.99/1.39 [u,rule_425]).
% 0.99/1.39 cnf('0.438.0.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(meet(X2,X3),X1) ),
% 0.99/1.39 inference(interreduction_right,[status(thm)],['0.426.2.0'])).
% 0.99/1.39 cnf('0.438.0.1',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(X2,X3)) = meet(meet(X2,X3),X1) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.438.0.0','0.437.2.0',theory(equality)]),
% 0.99/1.39 [pos('L','L')]).
% 0.99/1.39 cnf('0.438.1.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(X2,X3)) = meet(meet(X2,X3),X1) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.438.0.1']),
% 0.99/1.39 [weight('<103,426,437,[0,0,0,0]>')]).
% 0.99/1.39 cnf('0.438.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),meet(X2,X3)) = meet(meet(X2,X3),X1) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.438.1.0',theory(equality)]),
% 0.99/1.39 [u,rule_426]).
% 0.99/1.39 cnf('0.439.0.0',plain,
% 0.99/1.39 ( meet(meet(X1,meet(X2,X1)),X3) = meet(meet(X3,X1),meet(X2,X1)) ),
% 0.99/1.39 inference(cp,[status(thm)],['0.438.2.0','0.21.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.2','L')]).
% 0.99/1.39 cnf('0.439.0.1',plain,
% 0.99/1.39 ( meet(meet(X2,X1),X3) = meet(meet(X3,X1),meet(X2,X1)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.439.0.0','0.21.2.0',theory(equality)]),
% 0.99/1.39 [pos('L.1','L')]).
% 0.99/1.39 cnf('0.439.0.2',plain,
% 0.99/1.39 ( meet(meet(X2,X1),X3) = meet(X2,meet(X3,X1)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['0.439.0.1','0.436.2.0',theory(equality)]),
% 0.99/1.39 [pos('R','L')]).
% 0.99/1.39 cnf('0.439.1.0',plain,
% 0.99/1.39 ( meet(meet(X2,X1),X3) = meet(X2,meet(X3,X1)) ),
% 0.99/1.39 inference(weigh,[status(thm)],['0.439.0.2']),
% 0.99/1.39 [weight('<65,438,21,[1,0,0,4]>')]).
% 0.99/1.39 cnf('0.439.2.0',plain,
% 0.99/1.39 ( meet(meet(X1,X2),X3) = meet(X1,meet(X3,X2)) ),
% 0.99/1.39 inference(orient,[status(thm)],['0.439.1.0',theory(equality)]),
% 0.99/1.39 [u,rule_427]).
% 0.99/1.39 cnf('1.0.0.0',conjecture,
% 0.99/1.39 ( meet(meet(a,b),c) = meet(a,meet(b,c)) ),
% 0.99/1.39 file('/tmp/WALDMEISTER_605_n004',conjecture_1)).
% 0.99/1.39 cnf('1.0.0.1',plain,
% 0.99/1.39 ( meet(meet(a,b),c) = meet(a,meet(c,b)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['1.0.0.0','0.372.2.0',theory(equality)]),
% 0.99/1.39 [pos('R.2','L')]).
% 0.99/1.39 cnf('1.0.0.2',plain,
% 0.99/1.39 ( meet(a,meet(c,b)) = meet(a,meet(c,b)) ),
% 0.99/1.39 inference(reduction,[status(thm)],['1.0.0.1','0.439.2.0',theory(equality)]),
% 0.99/1.39 [pos('L','L')]).
% 0.99/1.39 cnf('1.0.0.3',plain,
% 0.99/1.39 ( $true ),
% 0.99/1.39 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.99/1.39 [conjecture_1]).
% 0.99/1.39
% 0.99/1.39 Proved Goals:
% 0.99/1.39 No. 1: meet(meet(a,b),c) ?= meet(a,meet(b,c)) joined, current: meet(a,meet(c,b)) = meet(a,meet(c,b))
% 0.99/1.39 1 goal was specified, which was proved.
% 0.99/1.39 % SZS output end CNFRefutation
% 0.99/1.39 #END OF PROOF
% 0.99/1.39
% 0.99/1.39 Problem WALDMEISTER_605_n004
% 0.99/1.39 CPs.gen 160418
% 0.99/1.39 CPs.reexp 0
% 0.99/1.39 Select 11663
% 0.99/1.39 R 427
% 0.99/1.39 E 12
% 0.99/1.39 vsize 6.6M
% 0.99/1.39 rss 4.0M
% 0.99/1.39 process.time 0.432s
% 0.99/1.39 wallclock.time 0.432s
% 0.99/1.39 status S
% 0.99/1.39
% 0.99/1.39
% 0.99/1.39 Waldmeister states: Goal proved.
% 0.99/1.39 % SZS status Unsatisfiable
%------------------------------------------------------------------------------