TSTP Solution File: LAT160-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT160-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n021.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 07:15:27 EDT 2022
% Result : Unsatisfiable 2.19s 2.58s
% Output : CNFRefutation 2.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT160-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 21:29:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.96 * |/ | \/ | *
% 0.57/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.96 * A. Jaeger and B. Loechner | | *
% 0.57/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.96
% 0.57/0.96 Goals:
% 0.57/0.96 ------
% 0.57/0.96
% 0.57/0.96 ( 1) meet(a,join(b,meet(c,join(a,d)))) ?=? meet(a,join(b,join(meet(a,c),meet(c,d))))
% 0.57/0.96
% 0.57/0.96 Detected structure: Verband
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 2.19/2.58 joined goal: 1 meet(a,join(b,meet(c,join(a,d)))) ?= meet(a,join(b,join(meet(a,c),meet(c,d)))) to meet(a,join(b,meet(c,join(d,a))))
% 2.19/2.58 goal joined
% 2.19/2.58 % SZS status Unsatisfiable
% 2.19/2.58 #START OF PROOF
% 2.19/2.58 % SZS output start CNFRefutation
% 2.19/2.58 cnf('0.1.0.0',axiom,
% 2.19/2.58 ( X1 = meet(X1,X1) ),
% 2.19/2.58 file('/tmp/WALDMEISTER_16458_n021')).
% 2.19/2.58 cnf('0.1.1.0',plain,
% 2.19/2.58 ( X1 = meet(X1,X1) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.1.0.0']),
% 2.19/2.58 [weight('<0,0,0,[0,0,0,1]>')]).
% 2.19/2.58 cnf('0.1.2.0',plain,
% 2.19/2.58 ( meet(X1,X1) = X1 ),
% 2.19/2.58 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 2.19/2.58 [x,rule_1]).
% 2.19/2.58 cnf('0.2.0.0',axiom,
% 2.19/2.58 ( X1 = meet(X1,join(X1,X2)) ),
% 2.19/2.58 file('/tmp/WALDMEISTER_16458_n021')).
% 2.19/2.58 cnf('0.2.1.0',plain,
% 2.19/2.58 ( X1 = meet(X1,join(X1,X2)) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.2.0.0']),
% 2.19/2.58 [weight('<1,0,0,[0,0,0,2]>')]).
% 2.19/2.58 cnf('0.2.2.0',plain,
% 2.19/2.58 ( meet(X1,join(X1,X2)) = X1 ),
% 2.19/2.58 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 2.19/2.58 [x,rule_2]).
% 2.19/2.58 cnf('0.3.0.0',axiom,
% 2.19/2.58 ( X1 = join(X1,X1) ),
% 2.19/2.58 file('/tmp/WALDMEISTER_16458_n021')).
% 2.19/2.58 cnf('0.3.1.0',plain,
% 2.19/2.58 ( X1 = join(X1,X1) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.3.0.0']),
% 2.19/2.58 [weight('<2,0,0,[0,0,0,3]>')]).
% 2.19/2.58 cnf('0.3.2.0',plain,
% 2.19/2.58 ( join(X1,X1) = X1 ),
% 2.19/2.58 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 2.19/2.58 [x,rule_3]).
% 2.19/2.58 cnf('0.4.0.0',axiom,
% 2.19/2.58 ( X1 = join(X1,meet(X1,X2)) ),
% 2.19/2.58 file('/tmp/WALDMEISTER_16458_n021')).
% 2.19/2.58 cnf('0.4.1.0',plain,
% 2.19/2.58 ( X1 = join(X1,meet(X1,X2)) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.4.0.0']),
% 2.19/2.58 [weight('<3,0,0,[0,0,0,4]>')]).
% 2.19/2.58 cnf('0.4.2.0',plain,
% 2.19/2.58 ( join(X1,meet(X1,X2)) = X1 ),
% 2.19/2.58 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 2.19/2.58 [x,rule_4]).
% 2.19/2.58 cnf('0.5.0.0',axiom,
% 2.19/2.58 ( meet(X1,X2) = meet(X2,X1) ),
% 2.19/2.58 file('/tmp/WALDMEISTER_16458_n021')).
% 2.19/2.58 cnf('0.5.1.0',plain,
% 2.19/2.58 ( meet(X1,X2) = meet(X2,X1) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.5.0.0']),
% 2.19/2.58 [weight('<4,0,0,[0,0,0,5]>')]).
% 2.19/2.58 cnf('0.5.2.0',plain,
% 2.19/2.58 ( meet(X1,X2) = meet(X2,X1) ),
% 2.19/2.58 inference(activate,[status(thm)],['0.5.1.0']),
% 2.19/2.58 [equation_1]).
% 2.19/2.58 cnf('0.6.0.0',axiom,
% 2.19/2.58 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 2.19/2.58 file('/tmp/WALDMEISTER_16458_n021')).
% 2.19/2.58 cnf('0.6.1.0',plain,
% 2.19/2.58 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.6.0.0']),
% 2.19/2.58 [weight('<5,0,0,[0,0,0,6]>')]).
% 2.19/2.58 cnf('0.6.2.0',plain,
% 2.19/2.58 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 2.19/2.58 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 2.19/2.58 [x,rule_5]).
% 2.19/2.58 cnf('0.7.0.0',axiom,
% 2.19/2.58 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,join(meet(X3,X4),meet(X3,join(X1,X2))))) ),
% 2.19/2.58 file('/tmp/WALDMEISTER_16458_n021')).
% 2.19/2.58 cnf('0.7.1.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,join(meet(X3,X4),meet(X3,join(X1,X2))))) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.7.0.0']),
% 2.19/2.58 [weight('<6,0,0,[0,0,0,7]>')]).
% 2.19/2.58 cnf('0.7.2.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,join(meet(X3,X4),meet(X3,join(X1,X2))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 2.19/2.58 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 2.19/2.58 [x,rule_6]).
% 2.19/2.58 cnf('0.8.0.0',axiom,
% 2.19/2.58 ( join(X1,X2) = join(X2,X1) ),
% 2.19/2.58 file('/tmp/WALDMEISTER_16458_n021')).
% 2.19/2.58 cnf('0.8.1.0',plain,
% 2.19/2.58 ( join(X1,X2) = join(X2,X1) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.8.0.0']),
% 2.19/2.58 [weight('<7,0,0,[0,0,0,8]>')]).
% 2.19/2.58 cnf('0.8.2.0',plain,
% 2.19/2.58 ( join(X1,X2) = join(X2,X1) ),
% 2.19/2.58 inference(activate,[status(thm)],['0.8.1.0']),
% 2.19/2.58 [equation_2]).
% 2.19/2.58 cnf('0.9.0.0',axiom,
% 2.19/2.58 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 2.19/2.58 file('/tmp/WALDMEISTER_16458_n021')).
% 2.19/2.58 cnf('0.9.1.0',plain,
% 2.19/2.58 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.9.0.0']),
% 2.19/2.58 [weight('<8,0,0,[0,0,0,9]>')]).
% 2.19/2.58 cnf('0.9.2.0',plain,
% 2.19/2.58 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 2.19/2.58 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 2.19/2.58 [x,rule_7]).
% 2.19/2.58 cnf('0.10.0.0',plain,
% 2.19/2.58 ( X1 = join(X1,meet(X2,X1)) ),
% 2.19/2.58 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 2.19/2.58 [pos('L.2','L')]).
% 2.19/2.58 cnf('0.10.1.0',plain,
% 2.19/2.58 ( X1 = join(X1,meet(X2,X1)) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.10.0.0']),
% 2.19/2.58 [weight('<5,5,4,[0,0,0,2]>')]).
% 2.19/2.58 cnf('0.10.2.0',plain,
% 2.19/2.58 ( join(X1,meet(X2,X1)) = X1 ),
% 2.19/2.58 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 2.19/2.58 [x,rule_8]).
% 2.19/2.58 cnf('0.11.0.0',plain,
% 2.19/2.58 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 2.19/2.58 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 2.19/2.58 [pos('L.1','L')]).
% 2.19/2.58 cnf('0.11.1.0',plain,
% 2.19/2.58 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.11.0.0']),
% 2.19/2.58 [weight('<5,6,1,[1,0,0,1]>')]).
% 2.19/2.58 cnf('0.11.2.0',plain,
% 2.19/2.58 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 2.19/2.58 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 2.19/2.58 [u,rule_9]).
% 2.19/2.58 cnf('0.15.0.0',plain,
% 2.19/2.58 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 2.19/2.58 inference(cp,[status(thm)],['0.11.2.0','0.5.2.0',theory(equality)]),
% 2.19/2.58 [pos('L.2','L')]).
% 2.19/2.58 cnf('0.15.1.0',plain,
% 2.19/2.58 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.15.0.0']),
% 2.19/2.58 [weight('<5,11,5,[1,0,0,2]>')]).
% 2.19/2.58 cnf('0.15.2.0',plain,
% 2.19/2.58 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 2.19/2.58 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 2.19/2.58 [x,rule_13]).
% 2.19/2.58 cnf('0.18.0.0',plain,
% 2.19/2.58 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 2.19/2.58 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 2.19/2.58 [pos('L.2','L')]).
% 2.19/2.58 cnf('0.18.1.0',plain,
% 2.19/2.58 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.18.0.0']),
% 2.19/2.58 [weight('<7,10,6,[1,0,0,2]>')]).
% 2.19/2.58 cnf('0.18.2.0',plain,
% 2.19/2.58 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 2.19/2.58 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 2.19/2.58 [x,rule_16]).
% 2.19/2.58 cnf('0.25.0.0',plain,
% 2.19/2.58 ( meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X1,X2),X3) ),
% 2.19/2.58 inference(cp,[status(thm)],['0.6.2.0','0.15.2.0',theory(equality)]),
% 2.19/2.58 [pos('L.1','L')]).
% 2.19/2.58 cnf('0.25.0.1',plain,
% 2.19/2.58 ( meet(X1,meet(X2,meet(X1,X3))) = meet(meet(X1,X2),X3) ),
% 2.19/2.58 inference(reduction,[status(thm)],['0.25.0.0','0.6.2.0',theory(equality)]),
% 2.19/2.58 [pos('L.2','L')]).
% 2.19/2.58 cnf('0.25.0.2',plain,
% 2.19/2.58 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 2.19/2.58 inference(reduction,[status(thm)],['0.25.0.1','0.6.2.0',theory(equality)]),
% 2.19/2.58 [pos('R','L')]).
% 2.19/2.58 cnf('0.25.1.0',plain,
% 2.19/2.58 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.25.0.2']),
% 2.19/2.58 [weight('<7,15,6,[0,0,0,1]>')]).
% 2.19/2.58 cnf('0.25.2.0',plain,
% 2.19/2.58 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 2.19/2.58 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 2.19/2.58 [u,rule_23]).
% 2.19/2.58 cnf('0.51.0.0',plain,
% 2.19/2.58 ( join(X1,join(meet(X2,meet(X3,X1)),X4)) = join(X1,X4) ),
% 2.19/2.58 inference(cp,[status(thm)],['0.9.2.0','0.18.2.0',theory(equality)]),
% 2.19/2.58 [pos('L.1','L')]).
% 2.19/2.58 cnf('0.51.1.0',plain,
% 2.19/2.58 ( join(X1,join(meet(X2,meet(X3,X1)),X4)) = join(X1,X4) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.51.0.0']),
% 2.19/2.58 [weight('<9,18,9,[0,0,0,1]>')]).
% 2.19/2.58 cnf('0.51.2.0',plain,
% 2.19/2.58 ( join(X1,join(meet(X2,meet(X3,X1)),X4)) = join(X1,X4) ),
% 2.19/2.58 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 2.19/2.58 [u,rule_49]).
% 2.19/2.58 cnf('0.75.0.0',plain,
% 2.19/2.58 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 2.19/2.58 inference(cp,[status(thm)],['0.18.2.0','0.25.2.0',theory(equality)]),
% 2.19/2.58 [pos('L.2','L')]).
% 2.19/2.58 cnf('0.75.1.0',plain,
% 2.19/2.58 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.75.0.0']),
% 2.19/2.58 [weight('<9,25,18,[0,0,0,2]>')]).
% 2.19/2.58 cnf('0.75.2.0',plain,
% 2.19/2.58 ( join(meet(X1,X2),meet(X1,meet(X3,X2))) = meet(X1,X2) ),
% 2.19/2.58 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 2.19/2.58 [x,rule_73]).
% 2.19/2.58 cnf('0.122.0.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X1,X2)) ),
% 2.19/2.58 inference(cp,[status(thm)],['0.75.2.0','0.2.2.0',theory(equality)]),
% 2.19/2.58 [pos('L.2.2','L')]).
% 2.19/2.58 cnf('0.122.1.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X1,X2)) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.122.0.0']),
% 2.19/2.58 [weight('<9,75,2,[1,0,0,6]>')]).
% 2.19/2.58 cnf('0.122.1.1',plain,
% 2.19/2.58 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,join(X2,X3))) ),
% 2.19/2.58 inference(reduction,[status(thm)],['0.122.1.0','0.8.2.0',theory(equality)]),
% 2.19/2.58 [pos('R','L')]).
% 2.19/2.58 cnf('0.122.2.0',plain,
% 2.19/2.58 ( join(meet(X1,X2),meet(X1,join(X2,X3))) = meet(X1,join(X2,X3)) ),
% 2.19/2.58 inference(orient,[status(thm)],['0.122.1.1',theory(equality)]),
% 2.19/2.58 [x,rule_118]).
% 2.19/2.58 cnf('0.140.0.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,meet(X3,join(X1,X1)))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 2.19/2.58 inference(cp,[status(thm)],['0.7.2.0','0.122.2.0',theory(equality)]),
% 2.19/2.58 [pos('L.2.2','L')]).
% 2.19/2.58 cnf('0.140.0.1',plain,
% 2.19/2.58 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 2.19/2.58 inference(reduction,[status(thm)],['0.140.0.0','0.3.2.0',theory(equality)]),
% 2.19/2.58 [pos('L.2.2.2','L')]).
% 2.19/2.58 cnf('0.140.1.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.140.0.1']),
% 2.19/2.58 [weight('<9,122,7,[0,0,0,4]>')]).
% 2.19/2.58 cnf('0.140.2.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 2.19/2.58 inference(orient,[status(thm)],['0.140.1.0',theory(equality)]),
% 2.19/2.58 [x,rule_134]).
% 2.19/2.58 cnf('0.229.0.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,meet(X3,join(X1,meet(X4,X2))))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 2.19/2.58 inference(cp,[status(thm)],['0.7.2.0','0.51.2.0',theory(equality)]),
% 2.19/2.58 [pos('L.2','L')]).
% 2.19/2.58 cnf('0.229.1.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,meet(X3,join(X1,meet(X4,X2))))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.229.0.0']),
% 2.19/2.58 [weight('<11,51,7,[0,0,0,2]>')]).
% 2.19/2.58 cnf('0.229.1.1',plain,
% 2.19/2.58 ( meet(X1,join(X2,meet(X3,join(X1,meet(X4,X2))))) = meet(X1,join(X2,meet(X3,X1))) ),
% 2.19/2.58 inference(reduction,[status(thm)],['0.229.1.0','0.140.2.0',theory(equality)]),
% 2.19/2.58 [pos('R','L')]).
% 2.19/2.58 cnf('0.229.2.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,meet(X3,join(X1,meet(X4,X2))))) = meet(X1,join(X2,meet(X3,X1))) ),
% 2.19/2.58 inference(orient,[status(thm)],['0.229.1.1',theory(equality)]),
% 2.19/2.58 [u,rule_221]).
% 2.19/2.58 cnf('0.695.0.0',plain,
% 2.19/2.58 ( meet(X1,join(join(X2,X3),meet(X4,X1))) = meet(X1,join(join(X2,X3),meet(X4,join(X1,X2)))) ),
% 2.19/2.58 inference(cp,[status(thm)],['0.229.2.0','0.2.2.0',theory(equality)]),
% 2.19/2.58 [pos('L.2.2.2.2','L')]).
% 2.19/2.58 cnf('0.695.0.1',plain,
% 2.19/2.58 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(join(X2,X3),meet(X4,join(X1,X2)))) ),
% 2.19/2.58 inference(reduction,[status(thm)],['0.695.0.0','0.9.2.0',theory(equality)]),
% 2.19/2.58 [pos('L.2','L')]).
% 2.19/2.58 cnf('0.695.0.2',plain,
% 2.19/2.58 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(X2,join(X3,meet(X4,join(X1,X2))))) ),
% 2.19/2.58 inference(reduction,[status(thm)],['0.695.0.1','0.9.2.0',theory(equality)]),
% 2.19/2.58 [pos('R.2','L')]).
% 2.19/2.58 cnf('0.695.1.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(X2,join(X3,meet(X4,join(X1,X2))))) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.695.0.2']),
% 2.19/2.58 [weight('<11,229,2,[1,0,0,8]>')]).
% 2.19/2.58 cnf('0.695.2.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,join(X3,meet(X4,join(X1,X2))))) = meet(X1,join(X2,join(X3,meet(X4,X1)))) ),
% 2.19/2.58 inference(orient,[status(thm)],['0.695.1.0',theory(equality)]),
% 2.19/2.58 [x,rule_687]).
% 2.19/2.58 cnf('0.696.0.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,join(meet(X3,X4),meet(X3,join(X1,X2))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 2.19/2.58 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 2.19/2.58 cnf('0.696.0.1',plain,
% 2.19/2.58 ( meet(X1,join(X2,join(meet(X3,X4),meet(X3,X1)))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 2.19/2.58 inference(reduction,[status(thm)],['0.696.0.0','0.695.2.0',theory(equality)]),
% 2.19/2.58 [pos('L','L')]).
% 2.19/2.58 cnf('0.696.1.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,join(meet(X3,X4),meet(X3,X1)))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.696.0.1']),
% 2.19/2.58 [weight('<11,7,695,[0,0,0,0]>')]).
% 2.19/2.58 cnf('0.696.2.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,join(meet(X3,X4),meet(X3,X1)))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 2.19/2.58 inference(orient,[status(thm)],['0.696.1.0',theory(equality)]),
% 2.19/2.58 [u,rule_688]).
% 2.19/2.58 cnf('0.782.0.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,join(meet(X4,X3),meet(X3,X1)))) ),
% 2.19/2.58 inference(cp,[status(thm)],['0.696.2.0','0.5.2.0',theory(equality)]),
% 2.19/2.58 [pos('L.2.2.1','L')]).
% 2.19/2.58 cnf('0.782.1.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,join(meet(X4,X3),meet(X3,X1)))) ),
% 2.19/2.58 inference(weigh,[status(thm)],['0.782.0.0']),
% 2.19/2.58 [weight('<11,696,5,[1,0,0,5]>')]).
% 2.19/2.58 cnf('0.782.2.0',plain,
% 2.19/2.58 ( meet(X1,join(X2,join(meet(X3,X4),meet(X4,X1)))) = meet(X1,join(X2,meet(X4,join(X1,X3)))) ),
% 2.19/2.58 inference(orient,[status(thm)],['0.782.1.0',theory(equality)]),
% 2.19/2.58 [x,rule_774]).
% 2.19/2.58 cnf('1.0.0.0',conjecture,
% 2.19/2.58 ( meet(a,join(b,meet(c,join(a,d)))) = meet(a,join(b,join(meet(a,c),meet(c,d)))) ),
% 2.19/2.58 file('/tmp/WALDMEISTER_16458_n021',conjecture_1)).
% 2.19/2.58 cnf('1.0.0.1',plain,
% 2.19/2.58 ( meet(a,join(b,meet(c,join(d,a)))) = meet(a,join(b,join(meet(a,c),meet(c,d)))) ),
% 2.19/2.58 inference(reduction,[status(thm)],['1.0.0.0','0.8.2.0',theory(equality)]),
% 2.19/2.58 [pos('L.2.2.2','L')]).
% 2.19/2.58 cnf('1.0.0.2',plain,
% 2.19/2.58 ( meet(a,join(b,meet(c,join(d,a)))) = meet(a,join(b,join(meet(c,d),meet(a,c)))) ),
% 2.19/2.58 inference(reduction,[status(thm)],['1.0.0.1','0.8.2.0',theory(equality)]),
% 2.19/2.58 [pos('R.2.2','L')]).
% 2.19/2.58 cnf('1.0.0.3',plain,
% 2.19/2.58 ( meet(a,join(b,meet(c,join(d,a)))) = meet(a,join(b,join(meet(d,c),meet(a,c)))) ),
% 2.19/2.58 inference(reduction,[status(thm)],['1.0.0.2','0.5.2.0',theory(equality)]),
% 2.19/2.58 [pos('R.2.2.1','L')]).
% 2.19/2.58 cnf('1.0.0.4',plain,
% 2.19/2.58 ( meet(a,join(b,meet(c,join(d,a)))) = meet(a,join(b,join(meet(d,c),meet(c,a)))) ),
% 2.19/2.58 inference(reduction,[status(thm)],['1.0.0.3','0.5.2.0',theory(equality)]),
% 2.19/2.58 [pos('R.2.2.2','L')]).
% 2.19/2.58 cnf('1.0.0.5',plain,
% 2.19/2.58 ( meet(a,join(b,meet(c,join(d,a)))) = meet(a,join(b,meet(c,join(a,d)))) ),
% 2.19/2.58 inference(reduction,[status(thm)],['1.0.0.4','0.782.2.0',theory(equality)]),
% 2.19/2.58 [pos('R','L')]).
% 2.19/2.58 cnf('1.0.0.6',plain,
% 2.19/2.58 ( meet(a,join(b,meet(c,join(d,a)))) = meet(a,join(b,meet(c,join(d,a)))) ),
% 2.19/2.58 inference(reduction,[status(thm)],['1.0.0.5','0.8.2.0',theory(equality)]),
% 2.19/2.58 [pos('R.2.2.2','L')]).
% 2.19/2.58 cnf('1.0.0.7',plain,
% 2.19/2.58 ( $true ),
% 2.19/2.58 inference(trivial,[status(thm)],['1.0.0.6',theory(equality)]),
% 2.19/2.58 [conjecture_1]).
% 2.19/2.58
% 2.19/2.58 Proved Goals:
% 2.19/2.58 No. 1: meet(a,join(b,meet(c,join(a,d)))) ?= meet(a,join(b,join(meet(a,c),meet(c,d)))) joined, current: meet(a,join(b,meet(c,join(d,a)))) = meet(a,join(b,meet(c,join(d,a))))
% 2.19/2.58 1 goal was specified, which was proved.
% 2.19/2.58 % SZS output end CNFRefutation
% 2.19/2.58 #END OF PROOF
% 2.19/2.58
% 2.19/2.58 Problem WALDMEISTER_16458_n021
% 2.19/2.58 CPs.gen 517192
% 2.19/2.58 CPs.reexp 0
% 2.19/2.58 Select 23316
% 2.19/2.58 R 774
% 2.19/2.58 E 8
% 2.19/2.58 vsize 8.6M
% 2.19/2.58 rss 4.1M
% 2.19/2.58 process.time 1.617s
% 2.19/2.58 wallclock.time 1.617s
% 2.19/2.58 status S
% 2.19/2.58
% 2.19/2.58
% 2.19/2.58 Waldmeister states: Goal proved.
% 2.19/2.58 % SZS status Unsatisfiable
%------------------------------------------------------------------------------