TSTP Solution File: LAT043-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT043-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n015.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 07:14:53 EDT 2022
% Result : Unsatisfiable 0.83s 1.23s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : LAT043-1 : TPTP v8.1.0. Released v2.5.0.
% 0.02/0.09 % Command : woody %s
% 0.08/0.28 % Computer : n015.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Wed Jun 29 01:43:55 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.53/0.96 ********************************************************************************
% 0.53/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.53/0.96 * |/ | \/ | *
% 0.53/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.53/0.96 * A. Jaeger and B. Loechner | | *
% 0.53/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.53/0.96 ********************************************************************************
% 0.53/0.96
% 0.53/0.96
% 0.53/0.96 Goals:
% 0.53/0.96 ------
% 0.53/0.96
% 0.53/0.96 ( 1) meet(complement(c),complement(d)) ?=? complement(join(c,d))
% 0.53/0.96
% 0.53/0.96 Detected structure: Verband
% 0.53/0.96 ********************************************************************************
% 0.53/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.53/0.96 ********************************************************************************
% 0.53/0.96
% 0.83/1.23 joined goal: 1 meet(complement(c),complement(d)) ?= complement(join(c,d)) to complement(join(d,c))
% 0.83/1.23 goal joined
% 0.83/1.23 % SZS status Unsatisfiable
% 0.83/1.23 #START OF PROOF
% 0.83/1.23 % SZS output start CNFRefutation
% 0.83/1.23 cnf('0.1.0.0',axiom,
% 0.83/1.23 ( X1 = meet(X1,X1) ),
% 0.83/1.23 file('/tmp/WALDMEISTER_21540_n015')).
% 0.83/1.23 cnf('0.1.1.0',plain,
% 0.83/1.23 ( X1 = meet(X1,X1) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.83/1.23 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.83/1.23 cnf('0.1.2.0',plain,
% 0.83/1.23 ( meet(X1,X1) = X1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_1]).
% 0.83/1.23 cnf('0.2.0.0',axiom,
% 0.83/1.23 ( X1 = meet(X1,join(X1,X2)) ),
% 0.83/1.23 file('/tmp/WALDMEISTER_21540_n015')).
% 0.83/1.23 cnf('0.2.1.0',plain,
% 0.83/1.23 ( X1 = meet(X1,join(X1,X2)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.83/1.23 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.83/1.23 cnf('0.2.2.0',plain,
% 0.83/1.23 ( meet(X1,join(X1,X2)) = X1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_2]).
% 0.83/1.23 cnf('0.4.0.0',axiom,
% 0.83/1.23 ( X1 = join(X1,meet(X1,X2)) ),
% 0.83/1.23 file('/tmp/WALDMEISTER_21540_n015')).
% 0.83/1.23 cnf('0.4.1.0',plain,
% 0.83/1.23 ( X1 = join(X1,meet(X1,X2)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.83/1.23 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.83/1.23 cnf('0.4.2.0',plain,
% 0.83/1.23 ( join(X1,meet(X1,X2)) = X1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_4]).
% 0.83/1.23 cnf('0.5.0.0',axiom,
% 0.83/1.23 ( X1 = complement(complement(X1)) ),
% 0.83/1.23 file('/tmp/WALDMEISTER_21540_n015')).
% 0.83/1.23 cnf('0.5.1.0',plain,
% 0.83/1.23 ( X1 = complement(complement(X1)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.83/1.23 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.83/1.23 cnf('0.5.2.0',plain,
% 0.83/1.23 ( complement(complement(X1)) = X1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_5]).
% 0.83/1.23 cnf('0.6.0.0',axiom,
% 0.83/1.23 ( meet(X1,X2) = meet(X2,X1) ),
% 0.83/1.23 file('/tmp/WALDMEISTER_21540_n015')).
% 0.83/1.23 cnf('0.6.1.0',plain,
% 0.83/1.23 ( meet(X1,X2) = meet(X2,X1) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.83/1.23 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.83/1.23 cnf('0.6.2.0',plain,
% 0.83/1.23 ( meet(X1,X2) = meet(X2,X1) ),
% 0.83/1.23 inference(activate,[status(thm)],['0.6.1.0']),
% 0.83/1.23 [equation_1]).
% 0.83/1.23 cnf('0.7.0.0',axiom,
% 0.83/1.23 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 0.83/1.23 file('/tmp/WALDMEISTER_21540_n015')).
% 0.83/1.23 cnf('0.7.1.0',plain,
% 0.83/1.23 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.83/1.23 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.83/1.23 cnf('0.7.2.0',plain,
% 0.83/1.23 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_6]).
% 0.83/1.23 cnf('0.8.0.0',axiom,
% 0.83/1.23 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)) ),
% 0.83/1.23 file('/tmp/WALDMEISTER_21540_n015')).
% 0.83/1.23 cnf('0.8.1.0',plain,
% 0.83/1.23 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.83/1.23 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.83/1.23 cnf('0.8.2.0',plain,
% 0.83/1.23 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,X3)) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_7]).
% 0.83/1.23 cnf('0.9.0.0',axiom,
% 0.83/1.23 ( meet(complement(X1),X1) = n0 ),
% 0.83/1.23 file('/tmp/WALDMEISTER_21540_n015')).
% 0.83/1.23 cnf('0.9.1.0',plain,
% 0.83/1.23 ( meet(complement(X1),X1) = n0 ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.83/1.23 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.83/1.23 cnf('0.9.1.1',plain,
% 0.83/1.23 ( meet(X1,complement(X1)) = n0 ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.9.1.0','0.6.2.0',theory(equality)]),
% 0.83/1.23 [pos('L','L')]).
% 0.83/1.23 cnf('0.9.2.0',plain,
% 0.83/1.23 ( meet(X1,complement(X1)) = n0 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.9.1.1',theory(equality)]),
% 0.83/1.23 [u,rule_8]).
% 0.83/1.23 cnf('0.10.0.0',axiom,
% 0.83/1.23 ( join(X1,X2) = join(X2,X1) ),
% 0.83/1.23 file('/tmp/WALDMEISTER_21540_n015')).
% 0.83/1.23 cnf('0.10.1.0',plain,
% 0.83/1.23 ( join(X1,X2) = join(X2,X1) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.83/1.23 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.83/1.23 cnf('0.10.2.0',plain,
% 0.83/1.23 ( join(X1,X2) = join(X2,X1) ),
% 0.83/1.23 inference(activate,[status(thm)],['0.10.1.0']),
% 0.83/1.23 [equation_2]).
% 0.83/1.23 cnf('0.11.0.0',axiom,
% 0.83/1.23 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.83/1.23 file('/tmp/WALDMEISTER_21540_n015')).
% 0.83/1.23 cnf('0.11.1.0',plain,
% 0.83/1.23 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.83/1.23 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.83/1.23 cnf('0.11.2.0',plain,
% 0.83/1.23 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_9]).
% 0.83/1.23 cnf('0.12.0.0',axiom,
% 0.83/1.23 ( join(complement(X1),X1) = n1 ),
% 0.83/1.23 file('/tmp/WALDMEISTER_21540_n015')).
% 0.83/1.23 cnf('0.12.1.0',plain,
% 0.83/1.23 ( join(complement(X1),X1) = n1 ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.83/1.23 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.83/1.23 cnf('0.12.1.1',plain,
% 0.83/1.23 ( join(X1,complement(X1)) = n1 ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.12.1.0','0.10.2.0',theory(equality)]),
% 0.83/1.23 [pos('L','L')]).
% 0.83/1.23 cnf('0.12.2.0',plain,
% 0.83/1.23 ( join(X1,complement(X1)) = n1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.12.1.1',theory(equality)]),
% 0.83/1.23 [u,rule_10]).
% 0.83/1.23 cnf('0.13.0.0',plain,
% 0.83/1.23 ( X1 = join(X1,n0) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.4.2.0','0.9.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.13.1.0',plain,
% 0.83/1.23 ( X1 = join(X1,n0) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.83/1.23 [weight('<3,9,4,[0,0,0,2]>')]).
% 0.83/1.23 cnf('0.13.2.0',plain,
% 0.83/1.23 ( join(X1,n0) = X1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_11]).
% 0.83/1.23 cnf('0.14.0.0',plain,
% 0.83/1.23 ( X1 = meet(X1,n1) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.2.2.0','0.12.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.14.1.0',plain,
% 0.83/1.23 ( X1 = meet(X1,n1) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.83/1.23 [weight('<3,12,2,[0,0,0,2]>')]).
% 0.83/1.23 cnf('0.14.2.0',plain,
% 0.83/1.23 ( meet(X1,n1) = X1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_12]).
% 0.83/1.23 cnf('0.15.0.0',plain,
% 0.83/1.23 ( X1 = join(n0,X1) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.13.2.0','0.10.2.0',theory(equality)]),
% 0.83/1.23 [pos('L','L')]).
% 0.83/1.23 cnf('0.15.1.0',plain,
% 0.83/1.23 ( X1 = join(n0,X1) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.83/1.23 [weight('<3,13,10,[1,0,0,0]>')]).
% 0.83/1.23 cnf('0.15.2.0',plain,
% 0.83/1.23 ( join(n0,X1) = X1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_13]).
% 0.83/1.23 cnf('0.18.0.0',plain,
% 0.83/1.23 ( X1 = meet(n1,X1) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.14.2.0','0.6.2.0',theory(equality)]),
% 0.83/1.23 [pos('L','L')]).
% 0.83/1.23 cnf('0.18.1.0',plain,
% 0.83/1.23 ( X1 = meet(n1,X1) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.83/1.23 [weight('<3,14,6,[1,0,0,0]>')]).
% 0.83/1.23 cnf('0.18.2.0',plain,
% 0.83/1.23 ( meet(n1,X1) = X1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_16]).
% 0.83/1.23 cnf('0.20.0.0',plain,
% 0.83/1.23 ( join(n1,X1) = n1 ),
% 0.83/1.23 inference(cp,[status(thm)],['0.18.2.0','0.2.2.0',theory(equality)]),
% 0.83/1.23 [pos('L','L')]).
% 0.83/1.23 cnf('0.20.1.0',plain,
% 0.83/1.23 ( join(n1,X1) = n1 ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.83/1.23 [weight('<3,18,2,[1,0,0,0]>')]).
% 0.83/1.23 cnf('0.20.2.0',plain,
% 0.83/1.23 ( join(n1,X1) = n1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.83/1.23 [u,rule_18]).
% 0.83/1.23 cnf('0.22.0.0',plain,
% 0.83/1.23 ( n1 = join(X1,n1) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.20.2.0','0.10.2.0',theory(equality)]),
% 0.83/1.23 [pos('L','L')]).
% 0.83/1.23 cnf('0.22.1.0',plain,
% 0.83/1.23 ( n1 = join(X1,n1) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.83/1.23 [weight('<3,20,10,[1,0,0,0]>')]).
% 0.83/1.23 cnf('0.22.2.0',plain,
% 0.83/1.23 ( join(X1,n1) = n1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_20]).
% 0.83/1.23 cnf('0.23.0.0',plain,
% 0.83/1.23 ( X1 = join(X1,meet(X2,X1)) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.4.2.0','0.6.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.23.1.0',plain,
% 0.83/1.23 ( X1 = join(X1,meet(X2,X1)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.83/1.23 [weight('<5,6,4,[0,0,0,2]>')]).
% 0.83/1.23 cnf('0.23.2.0',plain,
% 0.83/1.23 ( join(X1,meet(X2,X1)) = X1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_21]).
% 0.83/1.23 cnf('0.24.0.0',plain,
% 0.83/1.23 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.1','L')]).
% 0.83/1.23 cnf('0.24.1.0',plain,
% 0.83/1.23 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.83/1.23 [weight('<5,7,1,[1,0,0,1]>')]).
% 0.83/1.23 cnf('0.24.2.0',plain,
% 0.83/1.23 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.83/1.23 [u,rule_22]).
% 0.83/1.23 cnf('0.27.0.0',plain,
% 0.83/1.23 ( join(X1,X2) = join(join(X1,X2),X1) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.23.2.0','0.2.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.27.0.1',plain,
% 0.83/1.23 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.27.0.0','0.11.2.0',theory(equality)]),
% 0.83/1.23 [pos('R','L')]).
% 0.83/1.23 cnf('0.27.1.0',plain,
% 0.83/1.23 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.83/1.23 [weight('<5,23,2,[1,0,0,2]>')]).
% 0.83/1.23 cnf('0.27.2.0',plain,
% 0.83/1.23 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_25]).
% 0.83/1.23 cnf('0.30.0.0',plain,
% 0.83/1.23 ( meet(X1,join(complement(X1),X2)) = join(n0,meet(X1,X2)) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.8.2.0','0.9.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.1','L')]).
% 0.83/1.23 cnf('0.30.1.0',plain,
% 0.83/1.23 ( meet(X1,join(complement(X1),X2)) = join(n0,meet(X1,X2)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.83/1.23 [weight('<6,9,8,[0,0,0,1]>')]).
% 0.83/1.23 cnf('0.30.1.1',plain,
% 0.83/1.23 ( meet(X1,join(complement(X1),X2)) = meet(X1,X2) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.30.1.0','0.15.2.0',theory(equality)]),
% 0.83/1.23 [pos('R','L')]).
% 0.83/1.23 cnf('0.30.2.0',plain,
% 0.83/1.23 ( meet(X1,join(complement(X1),X2)) = meet(X1,X2) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.30.1.1',theory(equality)]),
% 0.83/1.23 [u,rule_28]).
% 0.83/1.23 cnf('0.31.0.0',plain,
% 0.83/1.23 ( meet(X1,join(X2,complement(X1))) = join(meet(X1,X2),n0) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.8.2.0','0.9.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.31.1.0',plain,
% 0.83/1.23 ( meet(X1,join(X2,complement(X1))) = join(meet(X1,X2),n0) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.83/1.23 [weight('<6,9,8,[0,0,0,4]>')]).
% 0.83/1.23 cnf('0.31.1.1',plain,
% 0.83/1.23 ( meet(X1,join(X2,complement(X1))) = meet(X1,X2) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.31.1.0','0.13.2.0',theory(equality)]),
% 0.83/1.23 [pos('R','L')]).
% 0.83/1.23 cnf('0.31.2.0',plain,
% 0.83/1.23 ( meet(X1,join(X2,complement(X1))) = meet(X1,X2) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.31.1.1',theory(equality)]),
% 0.83/1.23 [u,rule_29]).
% 0.83/1.23 cnf('0.32.0.0',plain,
% 0.83/1.23 ( join(X1,join(complement(X1),X2)) = join(n1,X2) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.11.2.0','0.12.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.1','L')]).
% 0.83/1.23 cnf('0.32.1.0',plain,
% 0.83/1.23 ( join(X1,join(complement(X1),X2)) = join(n1,X2) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.83/1.23 [weight('<6,12,11,[0,0,0,1]>')]).
% 0.83/1.23 cnf('0.32.1.1',plain,
% 0.83/1.23 ( join(X1,join(complement(X1),X2)) = n1 ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.32.1.0','0.20.2.0',theory(equality)]),
% 0.83/1.23 [pos('R','L')]).
% 0.83/1.23 cnf('0.32.2.0',plain,
% 0.83/1.23 ( join(X1,join(complement(X1),X2)) = n1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.32.1.1',theory(equality)]),
% 0.83/1.23 [u,rule_30]).
% 0.83/1.23 cnf('0.36.0.0',plain,
% 0.83/1.23 ( meet(complement(X1),X2) = meet(complement(X1),join(X1,X2)) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.30.2.0','0.5.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2.1','L')]).
% 0.83/1.23 cnf('0.36.1.0',plain,
% 0.83/1.23 ( meet(complement(X1),X2) = meet(complement(X1),join(X1,X2)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.83/1.23 [weight('<6,30,5,[1,0,0,3]>')]).
% 0.83/1.23 cnf('0.36.2.0',plain,
% 0.83/1.23 ( meet(complement(X1),join(X1,X2)) = meet(complement(X1),X2) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_34]).
% 0.83/1.23 cnf('0.37.0.0',plain,
% 0.83/1.23 ( meet(complement(X1),X2) = meet(complement(X1),join(X2,X1)) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.31.2.0','0.5.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2.2','L')]).
% 0.83/1.23 cnf('0.37.1.0',plain,
% 0.83/1.23 ( meet(complement(X1),X2) = meet(complement(X1),join(X2,X1)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.83/1.23 [weight('<6,31,5,[1,0,0,4]>')]).
% 0.83/1.23 cnf('0.37.2.0',plain,
% 0.83/1.23 ( meet(complement(X1),join(X2,X1)) = meet(complement(X1),X2) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_35]).
% 0.83/1.23 cnf('0.40.0.0',plain,
% 0.83/1.23 ( join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),n1) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.27.2.0','0.32.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.40.0.1',plain,
% 0.83/1.23 ( join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),n1) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.40.0.0','0.11.2.0',theory(equality)]),
% 0.83/1.23 [pos('L','L')]).
% 0.83/1.23 cnf('0.40.0.2',plain,
% 0.83/1.23 ( join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,n1)) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.40.0.1','0.11.2.0',theory(equality)]),
% 0.83/1.23 [pos('R','L')]).
% 0.83/1.23 cnf('0.40.0.3',plain,
% 0.83/1.23 ( join(complement(X1),join(X2,X1)) = join(complement(X1),n1) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.40.0.2','0.22.2.0',theory(equality)]),
% 0.83/1.23 [pos('R.2','L')]).
% 0.83/1.23 cnf('0.40.0.4',plain,
% 0.83/1.23 ( join(complement(X1),join(X2,X1)) = n1 ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.40.0.3','0.22.2.0',theory(equality)]),
% 0.83/1.23 [pos('R','L')]).
% 0.83/1.23 cnf('0.40.1.0',plain,
% 0.83/1.23 ( join(complement(X1),join(X2,X1)) = n1 ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.40.0.4']),
% 0.83/1.23 [weight('<6,32,27,[0,0,0,2]>')]).
% 0.83/1.23 cnf('0.40.2.0',plain,
% 0.83/1.23 ( join(complement(X1),join(X2,X1)) = n1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.83/1.23 [u,rule_38]).
% 0.83/1.23 cnf('0.43.0.0',plain,
% 0.83/1.23 ( n1 = join(complement(meet(X1,X2)),X1) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.40.2.0','0.4.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.43.1.0',plain,
% 0.83/1.23 ( n1 = join(complement(meet(X1,X2)),X1) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.83/1.23 [weight('<6,40,4,[1,0,0,3]>')]).
% 0.83/1.23 cnf('0.43.1.1',plain,
% 0.83/1.23 ( n1 = join(X1,complement(meet(X1,X2))) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.43.1.0','0.10.2.0',theory(equality)]),
% 0.83/1.23 [pos('R','L')]).
% 0.83/1.23 cnf('0.43.2.0',plain,
% 0.83/1.23 ( join(X1,complement(meet(X1,X2))) = n1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.43.1.1',theory(equality)]),
% 0.83/1.23 [x,rule_41]).
% 0.83/1.23 cnf('0.44.0.0',plain,
% 0.83/1.23 ( n1 = join(complement(meet(X1,X2)),X2) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.40.2.0','0.23.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.44.1.0',plain,
% 0.83/1.23 ( n1 = join(complement(meet(X1,X2)),X2) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.83/1.23 [weight('<6,40,23,[1,0,0,3]>')]).
% 0.83/1.23 cnf('0.44.1.1',plain,
% 0.83/1.23 ( n1 = join(X2,complement(meet(X1,X2))) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.44.1.0','0.10.2.0',theory(equality)]),
% 0.83/1.23 [pos('R','L')]).
% 0.83/1.23 cnf('0.44.2.0',plain,
% 0.83/1.23 ( join(X1,complement(meet(X2,X1))) = n1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.44.1.1',theory(equality)]),
% 0.83/1.23 [x,rule_42]).
% 0.83/1.23 cnf('0.47.0.0',plain,
% 0.83/1.23 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,X3)) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.8.2.0','0.6.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.1','L')]).
% 0.83/1.23 cnf('0.47.1.0',plain,
% 0.83/1.23 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,X3)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.47.0.0']),
% 0.83/1.23 [weight('<7,8,6,[1,0,0,1]>')]).
% 0.83/1.23 cnf('0.47.2.0',plain,
% 0.83/1.23 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(X1,X3)) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_45]).
% 0.83/1.23 cnf('0.49.0.0',plain,
% 0.83/1.23 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.11.2.0','0.4.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.1','L')]).
% 0.83/1.23 cnf('0.49.1.0',plain,
% 0.83/1.23 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.83/1.23 [weight('<7,11,4,[1,0,0,1]>')]).
% 0.83/1.23 cnf('0.49.2.0',plain,
% 0.83/1.23 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.83/1.23 [u,rule_47]).
% 0.83/1.23 cnf('0.53.0.0',plain,
% 0.83/1.23 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.8.2.0','0.24.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.53.0.1',plain,
% 0.83/1.23 ( meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,X3)) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.53.0.0','0.8.2.0',theory(equality)]),
% 0.83/1.23 [pos('R','L')]).
% 0.83/1.23 cnf('0.53.1.0',plain,
% 0.83/1.23 ( meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,X3)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.53.0.1']),
% 0.83/1.23 [weight('<7,24,8,[0,0,0,4]>')]).
% 0.83/1.23 cnf('0.53.2.0',plain,
% 0.83/1.23 ( meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,X3)) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 0.83/1.23 [u,rule_51]).
% 0.83/1.23 cnf('0.68.0.0',plain,
% 0.83/1.23 ( meet(complement(X1),complement(meet(X1,X2))) = meet(complement(X1),n1) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.36.2.0','0.43.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.68.0.1',plain,
% 0.83/1.23 ( meet(complement(X1),complement(meet(X1,X2))) = complement(X1) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.68.0.0','0.14.2.0',theory(equality)]),
% 0.83/1.23 [pos('R','L')]).
% 0.83/1.23 cnf('0.68.1.0',plain,
% 0.83/1.23 ( meet(complement(X1),complement(meet(X1,X2))) = complement(X1) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.68.0.1']),
% 0.83/1.23 [weight('<7,43,36,[0,0,0,3]>')]).
% 0.83/1.23 cnf('0.68.2.0',plain,
% 0.83/1.23 ( meet(complement(X1),complement(meet(X1,X2))) = complement(X1) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.83/1.23 [u,rule_66]).
% 0.83/1.23 cnf('0.69.0.0',plain,
% 0.83/1.23 ( meet(X1,complement(meet(X2,complement(X1)))) = meet(X1,n1) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.30.2.0','0.44.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.69.0.1',plain,
% 0.83/1.23 ( meet(X1,complement(meet(X2,complement(X1)))) = X1 ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.69.0.0','0.14.2.0',theory(equality)]),
% 0.83/1.23 [pos('R','L')]).
% 0.83/1.23 cnf('0.69.1.0',plain,
% 0.83/1.23 ( meet(X1,complement(meet(X2,complement(X1)))) = X1 ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.69.0.1']),
% 0.83/1.23 [weight('<7,44,30,[0,0,0,2]>')]).
% 0.83/1.23 cnf('0.69.2.0',plain,
% 0.83/1.23 ( meet(X1,complement(meet(X2,complement(X1)))) = X1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 0.83/1.23 [u,rule_67]).
% 0.83/1.23 cnf('0.80.0.0',plain,
% 0.83/1.23 ( join(X1,meet(X2,X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.49.2.0','0.47.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.80.1.0',plain,
% 0.83/1.23 ( join(X1,meet(X2,X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.80.0.0']),
% 0.83/1.23 [weight('<7,49,47,[1,0,0,2]>')]).
% 0.83/1.23 cnf('0.80.2.0',plain,
% 0.83/1.23 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,X3)) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_78]).
% 0.83/1.23 cnf('0.81.0.0',plain,
% 0.83/1.23 ( join(X1,meet(X2,complement(X1))) = join(X1,meet(X2,n1)) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.80.2.0','0.12.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2.2','L')]).
% 0.83/1.23 cnf('0.81.0.1',plain,
% 0.83/1.23 ( join(X1,meet(X2,complement(X1))) = join(X1,X2) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.81.0.0','0.14.2.0',theory(equality)]),
% 0.83/1.23 [pos('R.2','L')]).
% 0.83/1.23 cnf('0.81.1.0',plain,
% 0.83/1.23 ( join(X1,meet(X2,complement(X1))) = join(X1,X2) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.81.0.1']),
% 0.83/1.23 [weight('<6,80,12,[1,0,0,4]>')]).
% 0.83/1.23 cnf('0.81.2.0',plain,
% 0.83/1.23 ( join(X1,meet(X2,complement(X1))) = join(X1,X2) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 0.83/1.23 [u,rule_79]).
% 0.83/1.23 cnf('0.82.0.0',plain,
% 0.83/1.23 ( join(complement(X1),X2) = join(complement(X1),meet(X2,X1)) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.81.2.0','0.5.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2.2','L')]).
% 0.83/1.23 cnf('0.82.1.0',plain,
% 0.83/1.23 ( join(complement(X1),X2) = join(complement(X1),meet(X2,X1)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.82.0.0']),
% 0.83/1.23 [weight('<6,81,5,[1,0,0,4]>')]).
% 0.83/1.23 cnf('0.82.2.0',plain,
% 0.83/1.23 ( join(complement(X1),meet(X2,X1)) = join(complement(X1),X2) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_80]).
% 0.83/1.23 cnf('0.84.0.0',plain,
% 0.83/1.23 ( join(complement(X1),X2) = join(complement(X1),meet(X1,X2)) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.82.2.0','0.6.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.84.1.0',plain,
% 0.83/1.23 ( join(complement(X1),X2) = join(complement(X1),meet(X1,X2)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.84.0.0']),
% 0.83/1.23 [weight('<6,82,6,[1,0,0,3]>')]).
% 0.83/1.23 cnf('0.84.2.0',plain,
% 0.83/1.23 ( join(complement(X1),meet(X1,X2)) = join(complement(X1),X2) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_82]).
% 0.83/1.23 cnf('0.92.0.0',plain,
% 0.83/1.23 ( complement(meet(X1,X2)) = join(complement(meet(X1,X2)),complement(X1)) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.23.2.0','0.68.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.92.1.0',plain,
% 0.83/1.23 ( complement(meet(X1,X2)) = join(complement(meet(X1,X2)),complement(X1)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.92.0.0']),
% 0.83/1.23 [weight('<7,68,23,[0,0,0,2]>')]).
% 0.83/1.23 cnf('0.92.1.1',plain,
% 0.83/1.23 ( complement(meet(X1,X2)) = join(complement(X1),complement(meet(X1,X2))) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.92.1.0','0.10.2.0',theory(equality)]),
% 0.83/1.23 [pos('R','L')]).
% 0.83/1.23 cnf('0.92.2.0',plain,
% 0.83/1.23 ( join(complement(X1),complement(meet(X1,X2))) = complement(meet(X1,X2)) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.92.1.1',theory(equality)]),
% 0.83/1.23 [x,rule_90]).
% 0.83/1.23 cnf('0.93.0.0',plain,
% 0.83/1.23 ( complement(meet(X1,complement(X2))) = join(complement(meet(X1,complement(X2))),X2) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.23.2.0','0.69.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.93.1.0',plain,
% 0.83/1.23 ( complement(meet(X1,complement(X2))) = join(complement(meet(X1,complement(X2))),X2) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.93.0.0']),
% 0.83/1.23 [weight('<7,69,23,[0,0,0,2]>')]).
% 0.83/1.23 cnf('0.93.1.1',plain,
% 0.83/1.23 ( complement(meet(X1,complement(X2))) = join(X2,complement(meet(X1,complement(X2)))) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.93.1.0','0.10.2.0',theory(equality)]),
% 0.83/1.23 [pos('R','L')]).
% 0.83/1.23 cnf('0.93.2.0',plain,
% 0.83/1.23 ( join(X1,complement(meet(X2,complement(X1)))) = complement(meet(X2,complement(X1))) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.93.1.1',theory(equality)]),
% 0.83/1.23 [x,rule_91]).
% 0.83/1.23 cnf('0.185.0.0',plain,
% 0.83/1.23 ( join(complement(X1),join(X2,meet(X1,X3))) = join(complement(X1),meet(X1,join(X2,X3))) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.84.2.0','0.53.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.185.0.1',plain,
% 0.83/1.23 ( join(complement(X1),join(X2,meet(X1,X3))) = join(complement(X1),join(X2,X3)) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.185.0.0','0.84.2.0',theory(equality)]),
% 0.83/1.23 [pos('R','L')]).
% 0.83/1.23 cnf('0.185.1.0',plain,
% 0.83/1.23 ( join(complement(X1),join(X2,meet(X1,X3))) = join(complement(X1),join(X2,X3)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.185.0.1']),
% 0.83/1.23 [weight('<8,84,53,[1,0,0,3]>')]).
% 0.83/1.23 cnf('0.185.2.0',plain,
% 0.83/1.23 ( join(complement(X1),join(X2,meet(X1,X3))) = join(complement(X1),join(X2,X3)) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.185.1.0',theory(equality)]),
% 0.83/1.23 [u,rule_182]).
% 0.83/1.23 cnf('0.312.0.0',plain,
% 0.83/1.23 ( meet(complement(meet(X1,complement(X2))),join(X2,X3)) = join(X2,meet(complement(meet(X1,complement(X2))),X3)) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.47.2.0','0.69.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.1','L')]).
% 0.83/1.23 cnf('0.312.1.0',plain,
% 0.83/1.23 ( meet(complement(meet(X1,complement(X2))),join(X2,X3)) = join(X2,meet(complement(meet(X1,complement(X2))),X3)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.312.0.0']),
% 0.83/1.23 [weight('<9,69,47,[0,0,0,1]>')]).
% 0.83/1.23 cnf('0.312.2.0',plain,
% 0.83/1.23 ( meet(complement(meet(X1,complement(X2))),join(X2,X3)) = join(X2,meet(complement(meet(X1,complement(X2))),X3)) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.312.1.0',theory(equality)]),
% 0.83/1.23 [u,rule_306]).
% 0.83/1.23 cnf('0.350.0.0',plain,
% 0.83/1.23 ( meet(complement(meet(X1,complement(X2))),X2) = meet(complement(meet(X1,complement(X2))),join(X2,X1)) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.37.2.0','0.81.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.350.1.0',plain,
% 0.83/1.23 ( meet(complement(meet(X1,complement(X2))),X2) = meet(complement(meet(X1,complement(X2))),join(X2,X1)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.350.0.0']),
% 0.83/1.23 [weight('<9,81,37,[0,0,0,3]>')]).
% 0.83/1.23 cnf('0.350.1.1',plain,
% 0.83/1.23 ( meet(X2,complement(meet(X1,complement(X2)))) = meet(complement(meet(X1,complement(X2))),join(X2,X1)) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.350.1.0','0.6.2.0',theory(equality)]),
% 0.83/1.23 [pos('L','L')]).
% 0.83/1.23 cnf('0.350.1.2',plain,
% 0.83/1.23 ( X2 = meet(complement(meet(X1,complement(X2))),join(X2,X1)) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.350.1.1','0.69.2.0',theory(equality)]),
% 0.83/1.23 [pos('L','L')]).
% 0.83/1.23 cnf('0.350.1.3',plain,
% 0.83/1.23 ( X2 = join(X2,meet(complement(meet(X1,complement(X2))),X1)) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.350.1.2','0.312.2.0',theory(equality)]),
% 0.83/1.23 [pos('R','L')]).
% 0.83/1.23 cnf('0.350.1.4',plain,
% 0.83/1.23 ( X2 = join(X2,meet(X1,complement(meet(X1,complement(X2))))) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.350.1.3','0.6.2.0',theory(equality)]),
% 0.83/1.23 [pos('R.2','L')]).
% 0.83/1.23 cnf('0.350.2.0',plain,
% 0.83/1.23 ( join(X1,meet(X2,complement(meet(X2,complement(X1))))) = X1 ),
% 0.83/1.23 inference(orient,[status(thm)],['0.350.1.4',theory(equality)]),
% 0.83/1.23 [x,rule_344]).
% 0.83/1.23 cnf('0.351.0.0',plain,
% 0.83/1.23 ( join(complement(X1),join(X2,complement(meet(X1,complement(X2))))) = join(complement(X1),X2) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.185.2.0','0.350.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.351.0.1',plain,
% 0.83/1.23 ( join(complement(X1),complement(meet(X1,complement(X2)))) = join(complement(X1),X2) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.351.0.0','0.93.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.2','L')]).
% 0.83/1.23 cnf('0.351.0.2',plain,
% 0.83/1.23 ( complement(meet(X1,complement(X2))) = join(complement(X1),X2) ),
% 0.83/1.23 inference(reduction,[status(thm)],['0.351.0.1','0.92.2.0',theory(equality)]),
% 0.83/1.23 [pos('L','L')]).
% 0.83/1.23 cnf('0.351.1.0',plain,
% 0.83/1.23 ( complement(meet(X1,complement(X2))) = join(complement(X1),X2) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.351.0.2']),
% 0.83/1.23 [weight('<5,350,185,[0,0,0,3]>')]).
% 0.83/1.23 cnf('0.351.2.0',plain,
% 0.83/1.23 ( complement(meet(X1,complement(X2))) = join(complement(X1),X2) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.351.1.0',theory(equality)]),
% 0.83/1.23 [u,rule_345]).
% 0.83/1.23 cnf('0.352.0.0',plain,
% 0.83/1.23 ( meet(X1,complement(X2)) = complement(join(complement(X1),X2)) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.5.2.0','0.351.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.1','L')]).
% 0.83/1.23 cnf('0.352.1.0',plain,
% 0.83/1.23 ( meet(X1,complement(X2)) = complement(join(complement(X1),X2)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.352.0.0']),
% 0.83/1.23 [weight('<5,351,5,[0,0,0,1]>')]).
% 0.83/1.23 cnf('0.352.2.0',plain,
% 0.83/1.23 ( complement(join(complement(X1),X2)) = meet(X1,complement(X2)) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.352.1.0',theory(equality)]),
% 0.83/1.23 [x,rule_346]).
% 0.83/1.23 cnf('0.355.0.0',plain,
% 0.83/1.23 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 0.83/1.23 inference(cp,[status(thm)],['0.352.2.0','0.5.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.1.1','L')]).
% 0.83/1.23 cnf('0.355.1.0',plain,
% 0.83/1.23 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 0.83/1.23 inference(weigh,[status(thm)],['0.355.0.0']),
% 0.83/1.23 [weight('<5,352,5,[1,0,0,2]>')]).
% 0.83/1.23 cnf('0.355.2.0',plain,
% 0.83/1.23 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 0.83/1.23 inference(orient,[status(thm)],['0.355.1.0',theory(equality)]),
% 0.83/1.23 [u,rule_349]).
% 0.83/1.23 cnf('1.0.0.0',conjecture,
% 0.83/1.23 ( meet(complement(c),complement(d)) = complement(join(c,d)) ),
% 0.83/1.23 file('/tmp/WALDMEISTER_21540_n015',conjecture_1)).
% 0.83/1.23 cnf('1.0.0.1',plain,
% 0.83/1.23 ( complement(join(c,d)) = complement(join(c,d)) ),
% 0.83/1.23 inference(reduction,[status(thm)],['1.0.0.0','0.355.2.0',theory(equality)]),
% 0.83/1.23 [pos('L','L')]).
% 0.83/1.23 cnf('1.0.0.2',plain,
% 0.83/1.23 ( complement(join(d,c)) = complement(join(c,d)) ),
% 0.83/1.23 inference(reduction,[status(thm)],['1.0.0.1','0.10.2.0',theory(equality)]),
% 0.83/1.23 [pos('L.1','L')]).
% 0.83/1.23 cnf('1.0.0.3',plain,
% 0.83/1.23 ( complement(join(d,c)) = complement(join(d,c)) ),
% 0.83/1.23 inference(reduction,[status(thm)],['1.0.0.2','0.10.2.0',theory(equality)]),
% 0.83/1.23 [pos('R.1','L')]).
% 0.83/1.23 cnf('1.0.0.4',plain,
% 0.83/1.23 ( $true ),
% 0.83/1.23 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.83/1.23 [conjecture_1]).
% 0.83/1.23
% 0.83/1.23 Proved Goals:
% 0.83/1.23 No. 1: meet(complement(c),complement(d)) ?= complement(join(c,d)) joined, current: complement(join(d,c)) = complement(join(d,c))
% 0.83/1.23 1 goal was specified, which was proved.
% 0.83/1.23 % SZS output end CNFRefutation
% 0.83/1.23 #END OF PROOF
% 0.83/1.23
% 0.83/1.23 Problem WALDMEISTER_21540_n015
% 0.83/1.23 CPs.gen 81450
% 0.83/1.23 CPs.reexp 0
% 0.83/1.23 Select 3079
% 0.83/1.23 R 349
% 0.83/1.23 E 6
% 0.83/1.23 vsize 6.6M
% 0.83/1.23 rss 4.1M
% 0.83/1.23 process.time 0.276s
% 0.83/1.23 wallclock.time 0.276s
% 0.83/1.23 status S
% 0.83/1.23
% 0.83/1.23
% 0.83/1.23 Waldmeister states: Goal proved.
% 0.83/1.23 % SZS status Unsatisfiable
%------------------------------------------------------------------------------