TSTP Solution File: REL031-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL031-1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 20:10:15 EDT 2022
% Result : Unsatisfiable 3.70s 4.07s
% Output : CNFRefutation 3.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL031-1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Fri Jul 8 09:39:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.55/0.96 ********************************************************************************
% 0.55/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.55/0.96 * |/ | \/ | *
% 0.55/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.55/0.96 * A. Jaeger and B. Loechner | | *
% 0.55/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.55/0.96 ********************************************************************************
% 0.55/0.96
% 0.55/0.96
% 0.55/0.96 Goals:
% 0.55/0.96 ------
% 0.55/0.96
% 0.55/0.96 ( 1) join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) ?=? one
% 0.55/0.96
% 0.55/0.96 Detected structure: Orkus
% 0.55/0.96 ********************************************************************************
% 0.55/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.55/0.96 ********************************************************************************
% 0.55/0.96
% 3.70/4.07 joined goal: 1 join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) ?= one to one
% 3.70/4.07 goal joined
% 3.70/4.07 % SZS status Unsatisfiable
% 3.70/4.07 #START OF PROOF
% 3.70/4.07 % SZS output start CNFRefutation
% 3.70/4.07 cnf('0.1.0.0',axiom,
% 3.70/4.07 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 3.70/4.07 file('/tmp/WALDMEISTER_5687_n021')).
% 3.70/4.07 cnf('0.1.1.0',plain,
% 3.70/4.07 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.1.0.0']),
% 3.70/4.07 [weight('<0,0,0,[0,0,0,1]>')]).
% 3.70/4.07 cnf('0.1.2.0',plain,
% 3.70/4.07 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 3.70/4.07 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 3.70/4.07 [x,rule_1]).
% 3.70/4.07 cnf('0.2.0.0',axiom,
% 3.70/4.07 ( X1 = composition(X1,one) ),
% 3.70/4.07 file('/tmp/WALDMEISTER_5687_n021')).
% 3.70/4.07 cnf('0.2.1.0',plain,
% 3.70/4.07 ( X1 = composition(X1,one) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.2.0.0']),
% 3.70/4.07 [weight('<1,0,0,[0,0,0,2]>')]).
% 3.70/4.07 cnf('0.2.2.0',plain,
% 3.70/4.07 ( composition(X1,one) = X1 ),
% 3.70/4.07 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 3.70/4.07 [x,rule_2]).
% 3.70/4.07 cnf('0.3.0.0',axiom,
% 3.70/4.07 ( X1 = converse(converse(X1)) ),
% 3.70/4.07 file('/tmp/WALDMEISTER_5687_n021')).
% 3.70/4.07 cnf('0.3.1.0',plain,
% 3.70/4.07 ( X1 = converse(converse(X1)) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.3.0.0']),
% 3.70/4.07 [weight('<2,0,0,[0,0,0,3]>')]).
% 3.70/4.07 cnf('0.3.2.0',plain,
% 3.70/4.07 ( converse(converse(X1)) = X1 ),
% 3.70/4.07 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 3.70/4.07 [x,rule_3]).
% 3.70/4.07 cnf('0.4.0.0',axiom,
% 3.70/4.07 ( join(X1,X2) = join(X2,X1) ),
% 3.70/4.07 file('/tmp/WALDMEISTER_5687_n021')).
% 3.70/4.07 cnf('0.4.1.0',plain,
% 3.70/4.07 ( join(X1,X2) = join(X2,X1) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.4.0.0']),
% 3.70/4.07 [weight('<3,0,0,[0,0,0,4]>')]).
% 3.70/4.07 cnf('0.4.2.0',plain,
% 3.70/4.07 ( join(X1,X2) = join(X2,X1) ),
% 3.70/4.07 inference(activate,[status(thm)],['0.4.1.0']),
% 3.70/4.07 [equation_1]).
% 3.70/4.07 cnf('0.5.0.0',axiom,
% 3.70/4.07 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 3.70/4.07 file('/tmp/WALDMEISTER_5687_n021')).
% 3.70/4.07 cnf('0.5.1.0',plain,
% 3.70/4.07 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.5.0.0']),
% 3.70/4.07 [weight('<4,0,0,[0,0,0,5]>')]).
% 3.70/4.07 cnf('0.5.2.0',plain,
% 3.70/4.07 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 3.70/4.07 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 3.70/4.07 [x,rule_4]).
% 3.70/4.07 cnf('0.6.0.0',axiom,
% 3.70/4.07 ( join(X1,complement(X1)) = top ),
% 3.70/4.07 file('/tmp/WALDMEISTER_5687_n021')).
% 3.70/4.07 cnf('0.6.1.0',plain,
% 3.70/4.07 ( join(X1,complement(X1)) = top ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.6.0.0']),
% 3.70/4.07 [weight('<5,0,0,[0,0,0,6]>')]).
% 3.70/4.07 cnf('0.6.2.0',plain,
% 3.70/4.07 ( join(X1,complement(X1)) = top ),
% 3.70/4.07 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 3.70/4.07 [u,rule_5]).
% 3.70/4.07 cnf('0.7.0.0',axiom,
% 3.70/4.07 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 3.70/4.07 file('/tmp/WALDMEISTER_5687_n021')).
% 3.70/4.07 cnf('0.7.1.0',plain,
% 3.70/4.07 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.7.0.0']),
% 3.70/4.07 [weight('<6,0,0,[0,0,0,7]>')]).
% 3.70/4.07 cnf('0.7.2.0',plain,
% 3.70/4.07 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 3.70/4.07 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 3.70/4.07 [u,rule_6]).
% 3.70/4.07 cnf('0.8.0.0',axiom,
% 3.70/4.07 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 3.70/4.07 file('/tmp/WALDMEISTER_5687_n021')).
% 3.70/4.07 cnf('0.8.1.0',plain,
% 3.70/4.07 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.8.0.0']),
% 3.70/4.07 [weight('<7,0,0,[0,0,0,8]>')]).
% 3.70/4.07 cnf('0.8.1.1',plain,
% 3.70/4.07 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 3.70/4.07 inference(reduction,[status(thm)],['0.8.1.0','0.4.2.0',theory(equality)]),
% 3.70/4.07 [pos('L','L')]).
% 3.70/4.07 cnf('0.8.2.0',plain,
% 3.70/4.07 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 3.70/4.07 inference(orient,[status(thm)],['0.8.1.1',theory(equality)]),
% 3.70/4.07 [u,rule_7]).
% 3.70/4.07 cnf('0.9.0.0',axiom,
% 3.70/4.07 ( join(composition(converse(sk1),sk1),one) = one ),
% 3.70/4.07 file('/tmp/WALDMEISTER_5687_n021')).
% 3.70/4.07 cnf('0.9.1.0',plain,
% 3.70/4.07 ( join(composition(converse(sk1),sk1),one) = one ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.9.0.0']),
% 3.70/4.07 [weight('<8,0,0,[0,0,0,9]>')]).
% 3.70/4.07 cnf('0.9.1.1',plain,
% 3.70/4.07 ( join(one,composition(converse(sk1),sk1)) = one ),
% 3.70/4.07 inference(reduction,[status(thm)],['0.9.1.0','0.4.2.0',theory(equality)]),
% 3.70/4.07 [pos('L','L')]).
% 3.70/4.07 cnf('0.9.2.0',plain,
% 3.70/4.07 ( join(one,composition(converse(sk1),sk1)) = one ),
% 3.70/4.07 inference(orient,[status(thm)],['0.9.1.1',theory(equality)]),
% 3.70/4.07 [u,rule_8]).
% 3.70/4.07 cnf('0.10.0.0',axiom,
% 3.70/4.07 ( join(composition(converse(sk2),sk2),one) = one ),
% 3.70/4.07 file('/tmp/WALDMEISTER_5687_n021')).
% 3.70/4.07 cnf('0.10.1.0',plain,
% 3.70/4.07 ( join(composition(converse(sk2),sk2),one) = one ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.10.0.0']),
% 3.70/4.07 [weight('<9,0,0,[0,0,0,10]>')]).
% 3.70/4.07 cnf('0.10.1.1',plain,
% 3.70/4.07 ( join(one,composition(converse(sk2),sk2)) = one ),
% 3.70/4.07 inference(reduction,[status(thm)],['0.10.1.0','0.4.2.0',theory(equality)]),
% 3.70/4.07 [pos('L','L')]).
% 3.70/4.07 cnf('0.10.2.0',plain,
% 3.70/4.07 ( join(one,composition(converse(sk2),sk2)) = one ),
% 3.70/4.07 inference(orient,[status(thm)],['0.10.1.1',theory(equality)]),
% 3.70/4.07 [u,rule_9]).
% 3.70/4.07 cnf('0.11.0.0',axiom,
% 3.70/4.07 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 3.70/4.07 file('/tmp/WALDMEISTER_5687_n021')).
% 3.70/4.07 cnf('0.11.1.0',plain,
% 3.70/4.07 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.11.0.0']),
% 3.70/4.07 [weight('<10,0,0,[0,0,0,11]>')]).
% 3.70/4.07 cnf('0.11.2.0',plain,
% 3.70/4.07 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 3.70/4.07 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 3.70/4.07 [u,rule_10]).
% 3.70/4.07 cnf('0.12.0.0',axiom,
% 3.70/4.07 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 3.70/4.07 file('/tmp/WALDMEISTER_5687_n021')).
% 3.70/4.07 cnf('0.12.1.0',plain,
% 3.70/4.07 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.12.0.0']),
% 3.70/4.07 [weight('<11,0,0,[0,0,0,12]>')]).
% 3.70/4.07 cnf('0.12.2.0',plain,
% 3.70/4.07 ( composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)) ),
% 3.70/4.07 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 3.70/4.07 [x,rule_11]).
% 3.70/4.07 cnf('0.13.0.0',axiom,
% 3.70/4.07 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 3.70/4.07 file('/tmp/WALDMEISTER_5687_n021')).
% 3.70/4.07 cnf('0.13.1.0',plain,
% 3.70/4.07 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.13.0.0']),
% 3.70/4.07 [weight('<12,0,0,[0,0,0,13]>')]).
% 3.70/4.07 cnf('0.13.2.0',plain,
% 3.70/4.07 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 3.70/4.07 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 3.70/4.07 [u,rule_12]).
% 3.70/4.07 cnf('0.14.0.0',axiom,
% 3.70/4.07 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 3.70/4.07 file('/tmp/WALDMEISTER_5687_n021')).
% 3.70/4.07 cnf('0.14.1.0',plain,
% 3.70/4.07 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.14.0.0']),
% 3.70/4.07 [weight('<13,0,0,[0,0,0,14]>')]).
% 3.70/4.07 cnf('0.14.2.0',plain,
% 3.70/4.07 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 3.70/4.07 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 3.70/4.07 [u,rule_13]).
% 3.70/4.07 cnf('0.15.0.0',axiom,
% 3.70/4.07 ( meet(X1,complement(X1)) = zero ),
% 3.70/4.07 file('/tmp/WALDMEISTER_5687_n021')).
% 3.70/4.07 cnf('0.15.1.0',plain,
% 3.70/4.07 ( meet(X1,complement(X1)) = zero ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.15.0.0']),
% 3.70/4.07 [weight('<14,0,0,[0,0,0,15]>')]).
% 3.70/4.07 cnf('0.15.2.0',plain,
% 3.70/4.07 ( meet(X1,complement(X1)) = zero ),
% 3.70/4.07 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 3.70/4.07 [u,rule_14]).
% 3.70/4.07 cnf('0.16.0.0',plain,
% 3.70/4.07 ( meet(X1,complement(X1)) = complement(top) ),
% 3.70/4.07 inference(cp,[status(thm)],['0.14.2.0','0.6.2.0',theory(equality)]),
% 3.70/4.07 [pos('L.1','L')]).
% 3.70/4.07 cnf('0.16.1.0',plain,
% 3.70/4.07 ( meet(X1,complement(X1)) = complement(top) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.16.0.0']),
% 3.70/4.07 [weight('<34,14,6,[1,0,0,1]>')]).
% 3.70/4.07 cnf('0.16.1.1',plain,
% 3.70/4.07 ( zero = complement(top) ),
% 3.70/4.07 inference(reduction,[status(thm)],['0.16.1.0','0.15.2.0',theory(equality)]),
% 3.70/4.07 [pos('L','L')]).
% 3.70/4.07 cnf('0.16.2.0',plain,
% 3.70/4.07 ( complement(top) = zero ),
% 3.70/4.07 inference(orient,[status(thm)],['0.16.1.1',theory(equality)]),
% 3.70/4.07 [x,rule_15]).
% 3.70/4.07 cnf('0.19.0.0',plain,
% 3.70/4.07 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 3.70/4.07 inference(cp,[status(thm)],['0.14.2.0','0.4.2.0',theory(equality)]),
% 3.70/4.07 [pos('L.1','L')]).
% 3.70/4.07 cnf('0.19.0.1',plain,
% 3.70/4.07 ( meet(X1,X2) = meet(X2,X1) ),
% 3.70/4.07 inference(reduction,[status(thm)],['0.19.0.0','0.14.2.0',theory(equality)]),
% 3.70/4.07 [pos('R','L')]).
% 3.70/4.07 cnf('0.19.1.0',plain,
% 3.70/4.07 ( meet(X1,X2) = meet(X2,X1) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.19.0.1']),
% 3.70/4.07 [weight('<48,14,4,[1,0,0,1]>')]).
% 3.70/4.07 cnf('0.19.2.0',plain,
% 3.70/4.07 ( meet(X1,X2) = meet(X2,X1) ),
% 3.70/4.07 inference(activate,[status(thm)],['0.19.1.0']),
% 3.70/4.07 [equation_2]).
% 3.70/4.07 cnf('0.21.0.0',plain,
% 3.70/4.07 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 3.70/4.07 inference(cp,[status(thm)],['0.14.2.0','0.16.2.0',theory(equality)]),
% 3.70/4.07 [pos('L.1.1','L')]).
% 3.70/4.07 cnf('0.21.1.0',plain,
% 3.70/4.07 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.21.0.0']),
% 3.70/4.07 [weight('<53,16,14,[0,0,0,2]>')]).
% 3.70/4.07 cnf('0.21.2.0',plain,
% 3.70/4.07 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 3.70/4.07 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 3.70/4.07 [x,rule_19]).
% 3.70/4.07 cnf('0.26.0.0',plain,
% 3.70/4.07 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 3.70/4.07 inference(cp,[status(thm)],['0.11.2.0','0.3.2.0',theory(equality)]),
% 3.70/4.07 [pos('L.1','L')]).
% 3.70/4.07 cnf('0.26.1.0',plain,
% 3.70/4.07 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.26.0.0']),
% 3.70/4.07 [weight('<59,11,3,[1,0,0,1]>')]).
% 3.70/4.07 cnf('0.26.2.0',plain,
% 3.70/4.07 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 3.70/4.07 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 3.70/4.07 [u,rule_24]).
% 3.70/4.07 cnf('0.28.0.0',plain,
% 3.70/4.07 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 3.70/4.07 inference(cp,[status(thm)],['0.13.2.0','0.3.2.0',theory(equality)]),
% 3.70/4.07 [pos('L.1','L')]).
% 3.70/4.07 cnf('0.28.1.0',plain,
% 3.70/4.07 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.28.0.0']),
% 3.70/4.07 [weight('<59,13,3,[1,0,0,1]>')]).
% 3.70/4.07 cnf('0.28.2.0',plain,
% 3.70/4.07 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 3.70/4.07 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 3.70/4.07 [u,rule_26]).
% 3.70/4.07 cnf('0.29.0.0',plain,
% 3.70/4.07 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 3.70/4.07 inference(cp,[status(thm)],['0.13.2.0','0.3.2.0',theory(equality)]),
% 3.70/4.07 [pos('L.2','L')]).
% 3.70/4.07 cnf('0.29.1.0',plain,
% 3.70/4.07 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.29.0.0']),
% 3.70/4.07 [weight('<59,13,3,[1,0,0,3]>')]).
% 3.70/4.07 cnf('0.29.2.0',plain,
% 3.70/4.07 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 3.70/4.07 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 3.70/4.07 [u,rule_27]).
% 3.70/4.07 cnf('0.30.0.0',plain,
% 3.70/4.07 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 3.70/4.07 inference(cp,[status(thm)],['0.29.2.0','0.2.2.0',theory(equality)]),
% 3.70/4.07 [pos('L.1','L')]).
% 3.70/4.07 cnf('0.30.0.1',plain,
% 3.70/4.07 ( composition(converse(one),X1) = X1 ),
% 3.70/4.07 inference(reduction,[status(thm)],['0.30.0.0','0.3.2.0',theory(equality)]),
% 3.70/4.07 [pos('R','L')]).
% 3.70/4.07 cnf('0.30.1.0',plain,
% 3.70/4.07 ( composition(converse(one),X1) = X1 ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.30.0.1']),
% 3.70/4.07 [weight('<29,29,2,[1,0,0,1]>')]).
% 3.70/4.07 cnf('0.30.2.0',plain,
% 3.70/4.07 ( composition(converse(one),X1) = X1 ),
% 3.70/4.07 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 3.70/4.07 [u,rule_28]).
% 3.70/4.07 cnf('0.31.0.0',plain,
% 3.70/4.07 ( one = converse(one) ),
% 3.70/4.07 inference(cp,[status(thm)],['0.30.2.0','0.2.2.0',theory(equality)]),
% 3.70/4.07 [pos('L','L')]).
% 3.70/4.07 cnf('0.31.1.0',plain,
% 3.70/4.07 ( one = converse(one) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.31.0.0']),
% 3.70/4.07 [weight('<11,30,2,[1,0,0,0]>')]).
% 3.70/4.07 cnf('0.31.2.0',plain,
% 3.70/4.07 ( converse(one) = one ),
% 3.70/4.07 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 3.70/4.07 [x,rule_29]).
% 3.70/4.07 cnf('0.32.0.0',plain,
% 3.70/4.07 ( composition(converse(one),X1) = X1 ),
% 3.70/4.07 inference(interreduction_right,[status(thm)],['0.30.2.0'])).
% 3.70/4.07 cnf('0.32.0.1',plain,
% 3.70/4.07 ( composition(one,X1) = X1 ),
% 3.70/4.07 inference(reduction,[status(thm)],['0.32.0.0','0.31.2.0',theory(equality)]),
% 3.70/4.07 [pos('L.1','L')]).
% 3.70/4.07 cnf('0.32.1.0',plain,
% 3.70/4.07 ( composition(one,X1) = X1 ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.32.0.1']),
% 3.70/4.07 [weight('<19,30,31,[0,0,0,0]>')]).
% 3.70/4.07 cnf('0.32.2.0',plain,
% 3.70/4.07 ( composition(one,X1) = X1 ),
% 3.70/4.07 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 3.70/4.07 [u,rule_30]).
% 3.70/4.07 cnf('0.33.0.0',plain,
% 3.70/4.07 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 3.70/4.07 inference(cp,[status(thm)],['0.11.2.0','0.31.2.0',theory(equality)]),
% 3.70/4.07 [pos('L.1','L')]).
% 3.70/4.07 cnf('0.33.1.0',plain,
% 3.70/4.07 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.33.0.0']),
% 3.70/4.07 [weight('<44,31,11,[0,0,0,1]>')]).
% 3.70/4.07 cnf('0.33.2.0',plain,
% 3.70/4.07 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 3.70/4.07 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 3.70/4.07 [u,rule_31]).
% 3.70/4.07 cnf('0.35.0.0',plain,
% 3.70/4.07 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 3.70/4.07 inference(cp,[status(thm)],['0.8.2.0','0.32.2.0',theory(equality)]),
% 3.70/4.07 [pos('L.2.2.1','L')]).
% 3.70/4.07 cnf('0.35.0.1',plain,
% 3.70/4.07 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 3.70/4.07 inference(reduction,[status(thm)],['0.35.0.0','0.31.2.0',theory(equality)]),
% 3.70/4.07 [pos('R.2.1','L')]).
% 3.70/4.07 cnf('0.35.0.2',plain,
% 3.70/4.07 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 3.70/4.07 inference(reduction,[status(thm)],['0.35.0.1','0.32.2.0',theory(equality)]),
% 3.70/4.07 [pos('R.2','L')]).
% 3.70/4.07 cnf('0.35.1.0',plain,
% 3.70/4.07 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.35.0.2']),
% 3.70/4.07 [weight('<47,32,8,[0,0,0,7]>')]).
% 3.70/4.07 cnf('0.35.2.0',plain,
% 3.70/4.07 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 3.70/4.07 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 3.70/4.07 [x,rule_33]).
% 3.70/4.07 cnf('0.36.0.0',plain,
% 3.70/4.07 ( complement(top) = join(zero,complement(top)) ),
% 3.70/4.07 inference(cp,[status(thm)],['0.35.2.0','0.16.2.0',theory(equality)]),
% 3.70/4.07 [pos('L.1','L')]).
% 3.70/4.07 cnf('0.36.0.1',plain,
% 3.70/4.07 ( zero = join(zero,complement(top)) ),
% 3.70/4.07 inference(reduction,[status(thm)],['0.36.0.0','0.16.2.0',theory(equality)]),
% 3.70/4.07 [pos('L','L')]).
% 3.70/4.07 cnf('0.36.0.2',plain,
% 3.70/4.07 ( zero = join(zero,zero) ),
% 3.70/4.07 inference(reduction,[status(thm)],['0.36.0.1','0.16.2.0',theory(equality)]),
% 3.70/4.07 [pos('R.2','L')]).
% 3.70/4.07 cnf('0.36.1.0',plain,
% 3.70/4.07 ( zero = join(zero,zero) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.36.0.2']),
% 3.70/4.07 [weight('<19,35,16,[1,0,0,1]>')]).
% 3.70/4.07 cnf('0.36.2.0',plain,
% 3.70/4.07 ( join(zero,zero) = zero ),
% 3.70/4.07 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 3.70/4.07 [x,rule_34]).
% 3.70/4.07 cnf('0.39.0.0',plain,
% 3.70/4.07 ( meet(X1,X1) = complement(complement(X1)) ),
% 3.70/4.07 inference(cp,[status(thm)],['0.14.2.0','0.35.2.0',theory(equality)]),
% 3.70/4.07 [pos('L.1','L')]).
% 3.70/4.07 cnf('0.39.1.0',plain,
% 3.70/4.07 ( meet(X1,X1) = complement(complement(X1)) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.39.0.0']),
% 3.70/4.07 [weight('<48,35,14,[0,0,0,1]>')]).
% 3.70/4.07 cnf('0.39.2.0',plain,
% 3.70/4.07 ( meet(X1,X1) = complement(complement(X1)) ),
% 3.70/4.07 inference(activate,[status(thm)],['0.39.1.0']),
% 3.70/4.07 [equation_3]).
% 3.70/4.07 cnf('0.40.0.0',plain,
% 3.70/4.07 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 3.70/4.07 inference(cp,[status(thm)],['0.5.2.0','0.36.2.0',theory(equality)]),
% 3.70/4.07 [pos('L.1','L')]).
% 3.70/4.07 cnf('0.40.1.0',plain,
% 3.70/4.07 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.40.0.0']),
% 3.70/4.07 [weight('<53,36,5,[0,0,0,1]>')]).
% 3.70/4.07 cnf('0.40.2.0',plain,
% 3.70/4.07 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 3.70/4.07 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 3.70/4.07 [u,rule_37]).
% 3.70/4.07 cnf('0.41.0.0',plain,
% 3.70/4.07 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 3.70/4.07 inference(cp,[status(thm)],['0.40.2.0','0.4.2.0',theory(equality)]),
% 3.70/4.07 [pos('L.2','L')]).
% 3.70/4.07 cnf('0.41.1.0',plain,
% 3.70/4.07 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 3.70/4.07 inference(weigh,[status(thm)],['0.41.0.0']),
% 3.70/4.07 [weight('<53,40,4,[1,0,0,2]>')]).
% 3.70/4.07 cnf('0.41.2.0',plain,
% 3.70/4.07 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_38]).
% 3.70/4.08 cnf('0.44.0.0',plain,
% 3.70/4.08 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.26.2.0','0.6.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.44.1.0',plain,
% 3.70/4.08 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.44.0.0']),
% 3.70/4.08 [weight('<62,26,6,[1,0,0,1]>')]).
% 3.70/4.08 cnf('0.44.2.0',plain,
% 3.70/4.08 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_41]).
% 3.70/4.08 cnf('0.47.0.0',plain,
% 3.70/4.08 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.7.2.0','0.32.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.47.1.0',plain,
% 3.70/4.08 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.47.0.0']),
% 3.70/4.08 [weight('<65,32,7,[0,0,0,1]>')]).
% 3.70/4.08 cnf('0.47.2.0',plain,
% 3.70/4.08 ( join(X1,composition(X2,X1)) = composition(join(one,X2),X1) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_44]).
% 3.70/4.08 cnf('0.48.0.0',plain,
% 3.70/4.08 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.48.1.0',plain,
% 3.70/4.08 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.48.0.0']),
% 3.70/4.08 [weight('<69,6,5,[0,0,0,1]>')]).
% 3.70/4.08 cnf('0.48.2.0',plain,
% 3.70/4.08 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_45]).
% 3.70/4.08 cnf('0.49.0.0',plain,
% 3.70/4.08 ( join(top,complement(X1)) = join(X1,complement(X1)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.48.2.0','0.35.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.49.0.1',plain,
% 3.70/4.08 ( join(top,complement(X1)) = top ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.49.0.0','0.6.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.49.1.0',plain,
% 3.70/4.08 ( join(top,complement(X1)) = top ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.49.0.1']),
% 3.70/4.08 [weight('<29,48,35,[1,0,0,2]>')]).
% 3.70/4.08 cnf('0.49.2.0',plain,
% 3.70/4.08 ( join(top,complement(X1)) = top ),
% 3.70/4.08 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_46]).
% 3.70/4.08 cnf('0.52.0.0',plain,
% 3.70/4.08 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.48.2.0','0.6.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.52.1.0',plain,
% 3.70/4.08 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.52.0.0']),
% 3.70/4.08 [weight('<53,48,6,[1,0,0,2]>')]).
% 3.70/4.08 cnf('0.52.1.1',plain,
% 3.70/4.08 ( top = join(X1,top) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.52.1.0','0.49.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.52.2.0',plain,
% 3.70/4.08 ( join(X1,top) = top ),
% 3.70/4.08 inference(orient,[status(thm)],['0.52.1.1',theory(equality)]),
% 3.70/4.08 [x,rule_49]).
% 3.70/4.08 cnf('0.53.0.0',plain,
% 3.70/4.08 ( top = join(top,X1) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.52.2.0','0.4.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.53.1.0',plain,
% 3.70/4.08 ( top = join(top,X1) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.53.0.0']),
% 3.70/4.08 [weight('<19,52,4,[1,0,0,0]>')]).
% 3.70/4.08 cnf('0.53.2.0',plain,
% 3.70/4.08 ( join(top,X1) = top ),
% 3.70/4.08 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_50]).
% 3.70/4.08 cnf('0.54.0.0',plain,
% 3.70/4.08 ( top = converse(top) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.53.2.0','0.44.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.54.1.0',plain,
% 3.70/4.08 ( top = converse(top) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.54.0.0']),
% 3.70/4.08 [weight('<11,53,44,[1,0,0,0]>')]).
% 3.70/4.08 cnf('0.54.2.0',plain,
% 3.70/4.08 ( converse(top) = top ),
% 3.70/4.08 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_51]).
% 3.70/4.08 cnf('0.60.0.0',plain,
% 3.70/4.08 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 3.70/4.08 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 3.70/4.08 cnf('0.60.1.0',plain,
% 3.70/4.08 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.60.0.0']),
% 3.70/4.08 [weight('<?,1,4,[0,0,0,0]>')]).
% 3.70/4.08 cnf('0.60.1.1',plain,
% 3.70/4.08 ( join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1 ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.60.1.0','0.4.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.60.1.2',plain,
% 3.70/4.08 ( join(complement(join(complement(X1),X2)),meet(X1,X2)) = X1 ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.60.1.1','0.14.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.60.1.3',plain,
% 3.70/4.08 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.60.1.2','0.4.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.60.2.0',plain,
% 3.70/4.08 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.60.1.3',theory(equality)]),
% 3.70/4.08 [u,rule_57]).
% 3.70/4.08 cnf('0.63.0.0',plain,
% 3.70/4.08 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.60.2.0','0.15.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.63.0.1',plain,
% 3.70/4.08 ( X1 = join(zero,meet(X1,X1)) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.63.0.0','0.14.2.0',theory(equality)]),
% 3.70/4.08 [pos('R.2','L')]).
% 3.70/4.08 cnf('0.63.1.0',plain,
% 3.70/4.08 ( X1 = join(zero,meet(X1,X1)) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.63.0.1']),
% 3.70/4.08 [weight('<41,60,15,[1,0,0,1]>')]).
% 3.70/4.08 cnf('0.63.2.0',plain,
% 3.70/4.08 ( join(zero,meet(X1,X1)) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_60]).
% 3.70/4.08 cnf('0.64.0.0',plain,
% 3.70/4.08 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.40.2.0','0.63.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.64.0.1',plain,
% 3.70/4.08 ( X1 = join(zero,X1) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.64.0.0','0.63.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.64.1.0',plain,
% 3.70/4.08 ( X1 = join(zero,X1) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.64.0.1']),
% 3.70/4.08 [weight('<19,63,40,[0,0,0,2]>')]).
% 3.70/4.08 cnf('0.64.2.0',plain,
% 3.70/4.08 ( join(zero,X1) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_61]).
% 3.70/4.08 cnf('0.67.0.0',plain,
% 3.70/4.08 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 3.70/4.08 inference(interreduction_right,[status(thm)],['0.41.2.0'])).
% 3.70/4.08 cnf('0.67.0.1',plain,
% 3.70/4.08 ( join(X1,zero) = join(zero,X1) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.67.0.0','0.64.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.67.0.2',plain,
% 3.70/4.08 ( join(X1,zero) = X1 ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.67.0.1','0.64.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.67.1.0',plain,
% 3.70/4.08 ( join(X1,zero) = X1 ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.67.0.2']),
% 3.70/4.08 [weight('<19,41,64,[0,0,0,0]>')]).
% 3.70/4.08 cnf('0.67.2.0',plain,
% 3.70/4.08 ( join(X1,zero) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_64]).
% 3.70/4.08 cnf('0.68.0.0',plain,
% 3.70/4.08 ( join(zero,meet(X1,X1)) = X1 ),
% 3.70/4.08 inference(interreduction_right,[status(thm)],['0.63.2.0'])).
% 3.70/4.08 cnf('0.68.0.1',plain,
% 3.70/4.08 ( meet(X1,X1) = X1 ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.68.0.0','0.64.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.68.1.0',plain,
% 3.70/4.08 ( meet(X1,X1) = X1 ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.68.0.1']),
% 3.70/4.08 [weight('<19,63,64,[0,0,0,0]>')]).
% 3.70/4.08 cnf('0.68.2.0',plain,
% 3.70/4.08 ( meet(X1,X1) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_65]).
% 3.70/4.08 cnf('0.69.0.0',plain,
% 3.70/4.08 ( meet(X1,X1) = complement(complement(X1)) ),
% 3.70/4.08 inference(interreduction_right,[status(thm)],['0.39.2.0'])).
% 3.70/4.08 cnf('0.69.0.1',plain,
% 3.70/4.08 ( X1 = complement(complement(X1)) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.69.0.0','0.68.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.69.1.0',plain,
% 3.70/4.08 ( X1 = complement(complement(X1)) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.69.0.1']),
% 3.70/4.08 [weight('<19,39,68,[0,0,0,0]>')]).
% 3.70/4.08 cnf('0.69.2.0',plain,
% 3.70/4.08 ( complement(complement(X1)) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_66]).
% 3.70/4.08 cnf('0.73.0.0',plain,
% 3.70/4.08 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.35.2.0','0.69.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.73.0.1',plain,
% 3.70/4.08 ( X1 = join(X1,complement(complement(X1))) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.73.0.0','0.69.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.73.0.2',plain,
% 3.70/4.08 ( X1 = join(X1,X1) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.73.0.1','0.69.2.0',theory(equality)]),
% 3.70/4.08 [pos('R.2','L')]).
% 3.70/4.08 cnf('0.73.1.0',plain,
% 3.70/4.08 ( X1 = join(X1,X1) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.73.0.2']),
% 3.70/4.08 [weight('<19,69,35,[0,0,0,1]>')]).
% 3.70/4.08 cnf('0.73.2.0',plain,
% 3.70/4.08 ( join(X1,X1) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_70]).
% 3.70/4.08 cnf('0.74.0.0',plain,
% 3.70/4.08 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 3.70/4.08 inference(interreduction_right,[status(thm)],['0.21.2.0'])).
% 3.70/4.08 cnf('0.74.0.1',plain,
% 3.70/4.08 ( complement(complement(X1)) = meet(top,X1) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.74.0.0','0.64.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.74.1.0',plain,
% 3.70/4.08 ( complement(complement(X1)) = meet(top,X1) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.74.0.1']),
% 3.70/4.08 [weight('<27,21,64,[0,0,0,0]>')]).
% 3.70/4.08 cnf('0.74.1.1',plain,
% 3.70/4.08 ( X1 = meet(top,X1) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.74.1.0','0.69.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.74.2.0',plain,
% 3.70/4.08 ( meet(top,X1) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.74.1.1',theory(equality)]),
% 3.70/4.08 [x,rule_71]).
% 3.70/4.08 cnf('0.75.0.0',plain,
% 3.70/4.08 ( X1 = meet(X1,top) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.74.2.0','0.19.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.75.1.0',plain,
% 3.70/4.08 ( X1 = meet(X1,top) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.75.0.0']),
% 3.70/4.08 [weight('<19,74,19,[1,0,0,0]>')]).
% 3.70/4.08 cnf('0.75.2.0',plain,
% 3.70/4.08 ( meet(X1,top) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_72]).
% 3.70/4.08 cnf('0.83.0.0',plain,
% 3.70/4.08 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.5.2.0','0.73.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.83.1.0',plain,
% 3.70/4.08 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.83.0.0']),
% 3.70/4.08 [weight('<53,73,5,[0,0,0,1]>')]).
% 3.70/4.08 cnf('0.83.2.0',plain,
% 3.70/4.08 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_80]).
% 3.70/4.08 cnf('0.84.0.0',plain,
% 3.70/4.08 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.83.2.0','0.60.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.84.0.1',plain,
% 3.70/4.08 ( X1 = join(meet(X1,X2),X1) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.84.0.0','0.60.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.84.1.0',plain,
% 3.70/4.08 ( X1 = join(meet(X1,X2),X1) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.84.0.1']),
% 3.70/4.08 [weight('<41,83,60,[1,0,0,2]>')]).
% 3.70/4.08 cnf('0.84.1.1',plain,
% 3.70/4.08 ( X1 = join(X1,meet(X1,X2)) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.84.1.0','0.4.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.84.2.0',plain,
% 3.70/4.08 ( join(X1,meet(X1,X2)) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.84.1.1',theory(equality)]),
% 3.70/4.08 [x,rule_81]).
% 3.70/4.08 cnf('0.85.0.0',plain,
% 3.70/4.08 ( X1 = join(X1,meet(X2,X1)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.84.2.0','0.19.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.85.1.0',plain,
% 3.70/4.08 ( X1 = join(X1,meet(X2,X1)) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.85.0.0']),
% 3.70/4.08 [weight('<41,84,19,[1,0,0,2]>')]).
% 3.70/4.08 cnf('0.85.2.0',plain,
% 3.70/4.08 ( join(X1,meet(X2,X1)) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_82]).
% 3.70/4.08 cnf('0.87.0.0',plain,
% 3.70/4.08 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 3.70/4.08 inference(interreduction_right,[status(thm)],['0.44.2.0'])).
% 3.70/4.08 cnf('0.87.0.1',plain,
% 3.70/4.08 ( join(X1,converse(complement(converse(X1)))) = top ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.87.0.0','0.54.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.87.1.0',plain,
% 3.70/4.08 ( join(X1,converse(complement(converse(X1)))) = top ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.87.0.1']),
% 3.70/4.08 [weight('<55,44,54,[0,0,0,0]>')]).
% 3.70/4.08 cnf('0.87.2.0',plain,
% 3.70/4.08 ( join(X1,converse(complement(converse(X1)))) = top ),
% 3.70/4.08 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_84]).
% 3.70/4.08 cnf('0.88.0.0',plain,
% 3.70/4.08 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 3.70/4.08 inference(interreduction_right,[status(thm)],['0.48.2.0'])).
% 3.70/4.08 cnf('0.88.0.1',plain,
% 3.70/4.08 ( join(X1,join(complement(X1),X2)) = top ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.88.0.0','0.53.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.88.1.0',plain,
% 3.70/4.08 ( join(X1,join(complement(X1),X2)) = top ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.88.0.1']),
% 3.70/4.08 [weight('<55,48,53,[0,0,0,0]>')]).
% 3.70/4.08 cnf('0.88.2.0',plain,
% 3.70/4.08 ( join(X1,join(complement(X1),X2)) = top ),
% 3.70/4.08 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_85]).
% 3.70/4.08 cnf('0.89.0.0',plain,
% 3.70/4.08 ( X1 = join(meet(X1,join(complement(complement(X1)),X2)),complement(top)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.60.2.0','0.88.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2.1','L')]).
% 3.70/4.08 cnf('0.89.0.1',plain,
% 3.70/4.08 ( X1 = join(meet(X1,join(X1,X2)),complement(top)) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.89.0.0','0.69.2.0',theory(equality)]),
% 3.70/4.08 [pos('R.1.2.1','L')]).
% 3.70/4.08 cnf('0.89.0.2',plain,
% 3.70/4.08 ( X1 = join(meet(X1,join(X1,X2)),zero) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.89.0.1','0.16.2.0',theory(equality)]),
% 3.70/4.08 [pos('R.2','L')]).
% 3.70/4.08 cnf('0.89.0.3',plain,
% 3.70/4.08 ( X1 = meet(X1,join(X1,X2)) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.89.0.2','0.67.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.89.1.0',plain,
% 3.70/4.08 ( X1 = meet(X1,join(X1,X2)) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.89.0.3']),
% 3.70/4.08 [weight('<41,88,60,[0,0,0,5]>')]).
% 3.70/4.08 cnf('0.89.2.0',plain,
% 3.70/4.08 ( meet(X1,join(X1,X2)) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_86]).
% 3.70/4.08 cnf('0.90.0.0',plain,
% 3.70/4.08 ( X1 = meet(X1,join(X2,X1)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.89.2.0','0.4.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.90.1.0',plain,
% 3.70/4.08 ( X1 = meet(X1,join(X2,X1)) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.90.0.0']),
% 3.70/4.08 [weight('<41,89,4,[1,0,0,2]>')]).
% 3.70/4.08 cnf('0.90.2.0',plain,
% 3.70/4.08 ( meet(X1,join(X2,X1)) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_87]).
% 3.70/4.08 cnf('0.99.0.0',plain,
% 3.70/4.08 ( top = join(complement(X1),join(X1,X2)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.88.2.0','0.69.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2.1','L')]).
% 3.70/4.08 cnf('0.99.1.0',plain,
% 3.70/4.08 ( top = join(complement(X1),join(X1,X2)) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.99.0.0']),
% 3.70/4.08 [weight('<55,88,69,[1,0,0,3]>')]).
% 3.70/4.08 cnf('0.99.2.0',plain,
% 3.70/4.08 ( join(complement(X1),join(X1,X2)) = top ),
% 3.70/4.08 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_96]).
% 3.70/4.08 cnf('0.101.0.0',plain,
% 3.70/4.08 ( top = join(complement(meet(X1,X2)),X1) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.99.2.0','0.60.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.101.1.0',plain,
% 3.70/4.08 ( top = join(complement(meet(X1,X2)),X1) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.101.0.0']),
% 3.70/4.08 [weight('<55,99,60,[1,0,0,3]>')]).
% 3.70/4.08 cnf('0.101.1.1',plain,
% 3.70/4.08 ( top = join(X1,complement(meet(X1,X2))) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.101.1.0','0.4.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.101.2.0',plain,
% 3.70/4.08 ( join(X1,complement(meet(X1,X2))) = top ),
% 3.70/4.08 inference(orient,[status(thm)],['0.101.1.1',theory(equality)]),
% 3.70/4.08 [x,rule_98]).
% 3.70/4.08 cnf('0.103.0.0',plain,
% 3.70/4.08 ( meet(X1,meet(complement(X1),X2)) = complement(top) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.14.2.0','0.101.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.103.0.1',plain,
% 3.70/4.08 ( meet(X1,meet(complement(X1),X2)) = zero ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.103.0.0','0.16.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.103.1.0',plain,
% 3.70/4.08 ( meet(X1,meet(complement(X1),X2)) = zero ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.103.0.1']),
% 3.70/4.08 [weight('<55,101,14,[0,0,0,1]>')]).
% 3.70/4.08 cnf('0.103.2.0',plain,
% 3.70/4.08 ( meet(X1,meet(complement(X1),X2)) = zero ),
% 3.70/4.08 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_100]).
% 3.70/4.08 cnf('0.109.0.0',plain,
% 3.70/4.08 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.14.2.0','0.69.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1.1','L')]).
% 3.70/4.08 cnf('0.109.1.0',plain,
% 3.70/4.08 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.109.0.0']),
% 3.70/4.08 [weight('<59,69,14,[0,0,0,2]>')]).
% 3.70/4.08 cnf('0.109.2.0',plain,
% 3.70/4.08 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_106]).
% 3.70/4.08 cnf('0.110.0.0',plain,
% 3.70/4.08 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.109.2.0','0.4.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.110.1.0',plain,
% 3.70/4.08 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.110.0.0']),
% 3.70/4.08 [weight('<59,109,4,[1,0,0,1]>')]).
% 3.70/4.08 cnf('0.110.2.0',plain,
% 3.70/4.08 ( complement(join(complement(X1),X2)) = meet(complement(X2),X1) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_107]).
% 3.70/4.08 cnf('0.112.0.0',plain,
% 3.70/4.08 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.69.2.0','0.109.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.112.1.0',plain,
% 3.70/4.08 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.112.0.0']),
% 3.70/4.08 [weight('<59,109,69,[0,0,0,1]>')]).
% 3.70/4.08 cnf('0.112.2.0',plain,
% 3.70/4.08 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_108]).
% 3.70/4.08 cnf('0.114.0.0',plain,
% 3.70/4.08 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.112.2.0','0.19.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.114.1.0',plain,
% 3.70/4.08 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.114.0.0']),
% 3.70/4.08 [weight('<59,112,19,[1,0,0,1]>')]).
% 3.70/4.08 cnf('0.114.2.0',plain,
% 3.70/4.08 ( complement(meet(X1,complement(X2))) = join(X2,complement(X1)) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_110]).
% 3.70/4.08 cnf('0.115.0.0',plain,
% 3.70/4.08 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.112.2.0','0.69.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1.1','L')]).
% 3.70/4.08 cnf('0.115.1.0',plain,
% 3.70/4.08 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.115.0.0']),
% 3.70/4.08 [weight('<59,112,69,[1,0,0,2]>')]).
% 3.70/4.08 cnf('0.115.2.0',plain,
% 3.70/4.08 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_111]).
% 3.70/4.08 cnf('0.147.0.0',plain,
% 3.70/4.08 ( composition(converse(sk1),sk1) = meet(composition(converse(sk1),sk1),one) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.90.2.0','0.9.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.147.1.0',plain,
% 3.70/4.08 ( composition(converse(sk1),sk1) = meet(composition(converse(sk1),sk1),one) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.147.0.0']),
% 3.70/4.08 [weight('<76,90,9,[1,0,0,2]>')]).
% 3.70/4.08 cnf('0.147.1.1',plain,
% 3.70/4.08 ( composition(converse(sk1),sk1) = meet(one,composition(converse(sk1),sk1)) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.147.1.0','0.19.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.147.2.0',plain,
% 3.70/4.08 ( meet(one,composition(converse(sk1),sk1)) = composition(converse(sk1),sk1) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.147.1.1',theory(equality)]),
% 3.70/4.08 [x,rule_143]).
% 3.70/4.08 cnf('0.160.0.0',plain,
% 3.70/4.08 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.5.2.0','0.85.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.160.1.0',plain,
% 3.70/4.08 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.160.0.0']),
% 3.70/4.08 [weight('<87,85,5,[0,0,0,1]>')]).
% 3.70/4.08 cnf('0.160.2.0',plain,
% 3.70/4.08 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_156]).
% 3.70/4.08 cnf('0.190.0.0',plain,
% 3.70/4.08 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 3.70/4.08 inference(interreduction_right,[status(thm)],['0.60.2.0'])).
% 3.70/4.08 cnf('0.190.0.1',plain,
% 3.70/4.08 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.190.0.0','0.110.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.190.1.0',plain,
% 3.70/4.08 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.190.0.1']),
% 3.70/4.08 [weight('<89,60,110,[0,0,0,0]>')]).
% 3.70/4.08 cnf('0.190.2.0',plain,
% 3.70/4.08 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.190.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_185]).
% 3.70/4.08 cnf('0.191.0.0',plain,
% 3.70/4.08 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.160.2.0','0.190.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.191.1.0',plain,
% 3.70/4.08 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.191.0.0']),
% 3.70/4.08 [weight('<69,190,160,[0,0,0,2]>')]).
% 3.70/4.08 cnf('0.191.2.0',plain,
% 3.70/4.08 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.191.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_186]).
% 3.70/4.08 cnf('0.195.0.0',plain,
% 3.70/4.08 ( meet(complement(meet(complement(complement(X1)),X2)),X1) = complement(join(complement(X1),X2)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.110.2.0','0.191.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.195.0.1',plain,
% 3.70/4.08 ( meet(join(complement(X1),complement(X2)),X1) = complement(join(complement(X1),X2)) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.195.0.0','0.112.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.195.0.2',plain,
% 3.70/4.08 ( meet(complement(meet(X1,X2)),X1) = complement(join(complement(X1),X2)) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.195.0.1','0.115.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.195.0.3',plain,
% 3.70/4.08 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.195.0.2','0.110.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.195.1.0',plain,
% 3.70/4.08 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.195.0.3']),
% 3.70/4.08 [weight('<76,191,110,[0,0,0,1]>')]).
% 3.70/4.08 cnf('0.195.1.1',plain,
% 3.70/4.08 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.195.1.0','0.19.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.195.2.0',plain,
% 3.70/4.08 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.195.1.1',theory(equality)]),
% 3.70/4.08 [u,rule_190]).
% 3.70/4.08 cnf('0.196.0.0',plain,
% 3.70/4.08 ( meet(complement(complement(X1)),X2) = meet(X2,join(X1,complement(X2))) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.195.2.0','0.114.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.196.0.1',plain,
% 3.70/4.08 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.196.0.0','0.69.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.196.1.0',plain,
% 3.70/4.08 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.196.0.1']),
% 3.70/4.08 [weight('<69,195,114,[1,0,0,2]>')]).
% 3.70/4.08 cnf('0.196.2.0',plain,
% 3.70/4.08 ( meet(X1,join(X2,complement(X1))) = meet(X2,X1) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.196.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_191]).
% 3.70/4.08 cnf('0.197.0.0',plain,
% 3.70/4.08 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.196.2.0','0.4.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.197.1.0',plain,
% 3.70/4.08 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.197.0.0']),
% 3.70/4.08 [weight('<69,196,4,[1,0,0,2]>')]).
% 3.70/4.08 cnf('0.197.2.0',plain,
% 3.70/4.08 ( meet(X1,join(complement(X1),X2)) = meet(X2,X1) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.197.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_192]).
% 3.70/4.08 cnf('0.198.0.0',plain,
% 3.70/4.08 ( meet(converse(complement(converse(complement(X1)))),X1) = meet(X1,top) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.197.2.0','0.87.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.198.0.1',plain,
% 3.70/4.08 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.198.0.0','0.75.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.198.1.0',plain,
% 3.70/4.08 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.198.0.1']),
% 3.70/4.08 [weight('<71,197,87,[1,0,0,2]>')]).
% 3.70/4.08 cnf('0.198.1.1',plain,
% 3.70/4.08 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.198.1.0','0.19.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.198.2.0',plain,
% 3.70/4.08 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.198.1.1',theory(equality)]),
% 3.70/4.08 [u,rule_193]).
% 3.70/4.08 cnf('0.199.0.0',plain,
% 3.70/4.08 ( join(X1,complement(converse(complement(converse(complement(complement(X1))))))) = complement(complement(X1)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.112.2.0','0.198.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.199.0.1',plain,
% 3.70/4.08 ( join(X1,complement(converse(complement(converse(X1))))) = complement(complement(X1)) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.199.0.0','0.69.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2.1.1.1.1','L')]).
% 3.70/4.08 cnf('0.199.0.2',plain,
% 3.70/4.08 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.199.0.1','0.69.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.199.1.0',plain,
% 3.70/4.08 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.199.0.2']),
% 3.70/4.08 [weight('<71,198,112,[0,0,0,1]>')]).
% 3.70/4.08 cnf('0.199.2.0',plain,
% 3.70/4.08 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.199.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_194]).
% 3.70/4.08 cnf('0.211.0.0',plain,
% 3.70/4.08 ( join(X1,converse(complement(converse(complement(converse(converse(X1))))))) = converse(converse(X1)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.26.2.0','0.199.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.211.0.1',plain,
% 3.70/4.08 ( join(X1,converse(complement(converse(complement(X1))))) = converse(converse(X1)) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.211.0.0','0.3.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2.1.1.1.1','L')]).
% 3.70/4.08 cnf('0.211.0.2',plain,
% 3.70/4.08 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.211.0.1','0.3.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.211.1.0',plain,
% 3.70/4.08 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.211.0.2']),
% 3.70/4.08 [weight('<71,199,26,[0,0,0,1]>')]).
% 3.70/4.08 cnf('0.211.2.0',plain,
% 3.70/4.08 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.211.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_206]).
% 3.70/4.08 cnf('0.215.0.0',plain,
% 3.70/4.08 ( meet(complement(converse(complement(converse(complement(complement(X1)))))),X1) = complement(complement(X1)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.110.2.0','0.211.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.215.0.1',plain,
% 3.70/4.08 ( meet(complement(converse(complement(converse(X1)))),X1) = complement(complement(X1)) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.215.0.0','0.69.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1.1.1.1.1','L')]).
% 3.70/4.08 cnf('0.215.0.2',plain,
% 3.70/4.08 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.215.0.1','0.69.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.215.1.0',plain,
% 3.70/4.08 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.215.0.2']),
% 3.70/4.08 [weight('<71,211,110,[0,0,0,1]>')]).
% 3.70/4.08 cnf('0.215.1.1',plain,
% 3.70/4.08 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.215.1.0','0.19.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.215.2.0',plain,
% 3.70/4.08 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.215.1.1',theory(equality)]),
% 3.70/4.08 [u,rule_210]).
% 3.70/4.08 cnf('0.221.0.0',plain,
% 3.70/4.08 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.196.2.0','0.69.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2.2','L')]).
% 3.70/4.08 cnf('0.221.1.0',plain,
% 3.70/4.08 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.221.0.0']),
% 3.70/4.08 [weight('<76,196,69,[1,0,0,4]>')]).
% 3.70/4.08 cnf('0.221.2.0',plain,
% 3.70/4.08 ( meet(complement(X1),join(X2,X1)) = meet(X2,complement(X1)) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.221.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_216]).
% 3.70/4.08 cnf('0.222.0.0',plain,
% 3.70/4.08 ( meet(X1,complement(converse(complement(converse(X1))))) = meet(complement(converse(complement(converse(X1)))),top) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.221.2.0','0.87.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.222.0.1',plain,
% 3.70/4.08 ( X1 = meet(complement(converse(complement(converse(X1)))),top) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.222.0.0','0.215.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('0.222.0.2',plain,
% 3.70/4.08 ( X1 = complement(converse(complement(converse(X1)))) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.222.0.1','0.75.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.222.1.0',plain,
% 3.70/4.08 ( X1 = complement(converse(complement(converse(X1)))) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.222.0.2']),
% 3.70/4.08 [weight('<41,221,87,[1,0,0,3]>')]).
% 3.70/4.08 cnf('0.222.2.0',plain,
% 3.70/4.08 ( complement(converse(complement(converse(X1)))) = X1 ),
% 3.70/4.08 inference(orient,[status(thm)],['0.222.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_217]).
% 3.70/4.08 cnf('0.223.0.0',plain,
% 3.70/4.08 ( converse(X1) = complement(converse(complement(X1))) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.222.2.0','0.3.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1.1.1','L')]).
% 3.70/4.08 cnf('0.223.1.0',plain,
% 3.70/4.08 ( converse(X1) = complement(converse(complement(X1))) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.223.0.0']),
% 3.70/4.08 [weight('<34,222,3,[1,0,0,3]>')]).
% 3.70/4.08 cnf('0.223.2.0',plain,
% 3.70/4.08 ( complement(converse(complement(X1))) = converse(X1) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.223.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_218]).
% 3.70/4.08 cnf('0.224.0.0',plain,
% 3.70/4.08 ( converse(complement(X1)) = complement(converse(X1)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.69.2.0','0.223.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.224.1.0',plain,
% 3.70/4.08 ( converse(complement(X1)) = complement(converse(X1)) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.224.0.0']),
% 3.70/4.08 [weight('<27,223,69,[0,0,0,1]>')]).
% 3.70/4.08 cnf('0.224.2.0',plain,
% 3.70/4.08 ( complement(converse(X1)) = converse(complement(X1)) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.224.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_219]).
% 3.70/4.08 cnf('0.448.0.0',plain,
% 3.70/4.08 ( join(X1,converse(composition(X2,converse(X1)))) = converse(composition(join(one,X2),converse(X1))) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.26.2.0','0.47.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.448.0.1',plain,
% 3.70/4.08 ( join(X1,composition(X1,converse(X2))) = converse(composition(join(one,X2),converse(X1))) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.448.0.0','0.28.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.448.0.2',plain,
% 3.70/4.08 ( join(X1,composition(X1,converse(X2))) = composition(X1,converse(join(one,X2))) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.448.0.1','0.28.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.448.0.3',plain,
% 3.70/4.08 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.448.0.2','0.33.2.0',theory(equality)]),
% 3.70/4.08 [pos('R.2','L')]).
% 3.70/4.08 cnf('0.448.1.0',plain,
% 3.70/4.08 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.448.0.3']),
% 3.70/4.08 [weight('<90,47,26,[0,0,0,1]>')]).
% 3.70/4.08 cnf('0.448.2.0',plain,
% 3.70/4.08 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.448.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_443]).
% 3.70/4.08 cnf('0.449.0.0',plain,
% 3.70/4.08 ( composition(X1,join(one,converse(converse(X2)))) = join(X1,composition(X1,X2)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.448.2.0','0.3.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2.2','L')]).
% 3.70/4.08 cnf('0.449.0.1',plain,
% 3.70/4.08 ( composition(X1,join(one,X2)) = join(X1,composition(X1,X2)) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.449.0.0','0.3.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2.2','L')]).
% 3.70/4.08 cnf('0.449.1.0',plain,
% 3.70/4.08 ( composition(X1,join(one,X2)) = join(X1,composition(X1,X2)) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.449.0.1']),
% 3.70/4.08 [weight('<65,448,3,[1,0,0,4]>')]).
% 3.70/4.08 cnf('0.449.2.0',plain,
% 3.70/4.08 ( join(X1,composition(X1,X2)) = composition(X1,join(one,X2)) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.449.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_444]).
% 3.70/4.08 cnf('0.468.0.0',plain,
% 3.70/4.08 ( join(one,join(composition(converse(sk2),sk2),X1)) = join(one,X1) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.5.2.0','0.10.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.468.1.0',plain,
% 3.70/4.08 ( join(one,join(composition(converse(sk2),sk2),X1)) = join(one,X1) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.468.0.0']),
% 3.70/4.08 [weight('<?,10,5,[0,0,0,1]>')]).
% 3.70/4.08 cnf('0.468.2.0',plain,
% 3.70/4.08 ( join(one,join(composition(converse(sk2),sk2),X1)) = join(one,X1) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.468.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_463]).
% 3.70/4.08 cnf('0.753.0.0',plain,
% 3.70/4.08 ( composition(converse(X1),composition(converse(X2),X3)) = composition(converse(composition(X2,X1)),X3) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.12.2.0','0.13.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.1','L')]).
% 3.70/4.08 cnf('0.753.1.0',plain,
% 3.70/4.08 ( composition(converse(X1),composition(converse(X2),X3)) = composition(converse(composition(X2,X1)),X3) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.753.0.0']),
% 3.70/4.08 [weight('<111,13,12,[0,0,0,1]>')]).
% 3.70/4.08 cnf('0.753.2.0',plain,
% 3.70/4.08 ( composition(converse(X1),composition(converse(X2),X3)) = composition(converse(composition(X2,X1)),X3) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.753.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_745]).
% 3.70/4.08 cnf('0.827.0.0',plain,
% 3.70/4.08 ( join(converse(X1),X2) = join(converse(X1),meet(converse(complement(X1)),X2)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.191.2.0','0.224.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2.1','L')]).
% 3.70/4.08 cnf('0.827.1.0',plain,
% 3.70/4.08 ( join(converse(X1),X2) = join(converse(X1),meet(converse(complement(X1)),X2)) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.827.0.0']),
% 3.70/4.08 [weight('<116,224,191,[0,0,0,3]>')]).
% 3.70/4.08 cnf('0.827.2.0',plain,
% 3.70/4.08 ( join(converse(X1),meet(converse(complement(X1)),X2)) = join(converse(X1),X2) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.827.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_817]).
% 3.70/4.08 cnf('0.1071.0.0',plain,
% 3.70/4.08 ( join(one,composition(X1,sk2)) = join(one,composition(join(converse(sk2),X1),sk2)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.468.2.0','0.7.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.1071.1.0',plain,
% 3.70/4.08 ( join(one,composition(X1,sk2)) = join(one,composition(join(converse(sk2),X1),sk2)) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.1071.0.0']),
% 3.70/4.08 [weight('<125,468,7,[1,0,0,2]>')]).
% 3.70/4.08 cnf('0.1071.2.0',plain,
% 3.70/4.08 ( join(one,composition(join(converse(sk2),X1),sk2)) = join(one,composition(X1,sk2)) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.1071.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_1059]).
% 3.70/4.08 cnf('0.1481.0.0',plain,
% 3.70/4.08 ( composition(X1,X2) = meet(composition(X1,X2),composition(X1,join(one,X2))) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.90.2.0','0.449.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.1481.1.0',plain,
% 3.70/4.08 ( composition(X1,X2) = meet(composition(X1,X2),composition(X1,join(one,X2))) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.1481.0.0']),
% 3.70/4.08 [weight('<129,449,90,[0,0,0,2]>')]).
% 3.70/4.08 cnf('0.1481.2.0',plain,
% 3.70/4.08 ( meet(composition(X1,X2),composition(X1,join(one,X2))) = composition(X1,X2) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.1481.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_1468]).
% 3.70/4.08 cnf('0.1482.0.0',plain,
% 3.70/4.08 ( composition(X1,meet(one,X2)) = meet(composition(X1,meet(one,X2)),composition(X1,one)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.1481.2.0','0.84.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2.2','L')]).
% 3.70/4.08 cnf('0.1482.0.1',plain,
% 3.70/4.08 ( composition(X1,meet(one,X2)) = meet(composition(X1,meet(one,X2)),X1) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.1482.0.0','0.2.2.0',theory(equality)]),
% 3.70/4.08 [pos('R.2','L')]).
% 3.70/4.08 cnf('0.1482.1.0',plain,
% 3.70/4.08 ( composition(X1,meet(one,X2)) = meet(composition(X1,meet(one,X2)),X1) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.1482.0.1']),
% 3.70/4.08 [weight('<103,1481,84,[1,0,0,6]>')]).
% 3.70/4.08 cnf('0.1482.1.1',plain,
% 3.70/4.08 ( composition(X1,meet(one,X2)) = meet(X1,composition(X1,meet(one,X2))) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.1482.1.0','0.19.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.1482.2.0',plain,
% 3.70/4.08 ( meet(X1,composition(X1,meet(one,X2))) = composition(X1,meet(one,X2)) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.1482.1.1',theory(equality)]),
% 3.70/4.08 [x,rule_1469]).
% 3.70/4.08 cnf('0.1489.0.0',plain,
% 3.70/4.08 ( zero = meet(X1,composition(complement(X1),meet(one,X2))) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.103.2.0','0.1482.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.1489.1.0',plain,
% 3.70/4.08 ( zero = meet(X1,composition(complement(X1),meet(one,X2))) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.1489.0.0']),
% 3.70/4.08 [weight('<89,1482,103,[0,0,0,2]>')]).
% 3.70/4.08 cnf('0.1489.2.0',plain,
% 3.70/4.08 ( meet(X1,composition(complement(X1),meet(one,X2))) = zero ),
% 3.70/4.08 inference(orient,[status(thm)],['0.1489.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_1476]).
% 3.70/4.08 cnf('0.1510.0.0',plain,
% 3.70/4.08 ( zero = meet(X1,composition(complement(X1),composition(converse(sk1),sk1))) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.1489.2.0','0.147.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2.2','L')]).
% 3.70/4.08 cnf('0.1510.1.0',plain,
% 3.70/4.08 ( zero = meet(X1,composition(complement(X1),composition(converse(sk1),sk1))) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.1510.0.0']),
% 3.70/4.08 [weight('<109,1489,147,[1,0,0,5]>')]).
% 3.70/4.08 cnf('0.1510.2.0',plain,
% 3.70/4.08 ( meet(X1,composition(complement(X1),composition(converse(sk1),sk1))) = zero ),
% 3.70/4.08 inference(orient,[status(thm)],['0.1510.1.0',theory(equality)]),
% 3.70/4.08 [x,rule_1497]).
% 3.70/4.08 cnf('0.1545.0.0',plain,
% 3.70/4.08 ( join(converse(X1),composition(complement(converse(complement(X1))),composition(converse(sk1),sk1))) = join(converse(X1),zero) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.827.2.0','0.1510.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.1545.0.1',plain,
% 3.70/4.08 ( join(converse(X1),composition(converse(complement(complement(X1))),composition(converse(sk1),sk1))) = join(converse(X1),zero) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.1545.0.0','0.224.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2.1','L')]).
% 3.70/4.08 cnf('0.1545.0.2',plain,
% 3.70/4.08 ( join(converse(X1),composition(converse(composition(sk1,complement(complement(X1)))),sk1)) = join(converse(X1),zero) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.1545.0.1','0.753.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.1545.0.3',plain,
% 3.70/4.08 ( join(converse(X1),composition(converse(composition(sk1,X1)),sk1)) = join(converse(X1),zero) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.1545.0.2','0.69.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2.1.1.2','L')]).
% 3.70/4.08 cnf('0.1545.0.4',plain,
% 3.70/4.08 ( join(converse(X1),composition(converse(composition(sk1,X1)),sk1)) = converse(X1) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.1545.0.3','0.67.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.1545.1.0',plain,
% 3.70/4.08 ( join(converse(X1),composition(converse(composition(sk1,X1)),sk1)) = converse(X1) ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.1545.0.4']),
% 3.70/4.08 [weight('<119,1510,827,[0,0,0,3]>')]).
% 3.70/4.08 cnf('0.1545.2.0',plain,
% 3.70/4.08 ( join(converse(X1),composition(converse(composition(sk1,X1)),sk1)) = converse(X1) ),
% 3.70/4.08 inference(orient,[status(thm)],['0.1545.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_1532]).
% 3.70/4.08 cnf('0.3452.0.0',plain,
% 3.70/4.08 ( join(one,composition(composition(converse(composition(sk1,sk2)),sk1),sk2)) = join(one,composition(converse(sk2),sk2)) ),
% 3.70/4.08 inference(cp,[status(thm)],['0.1071.2.0','0.1545.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2.1','L')]).
% 3.70/4.08 cnf('0.3452.0.1',plain,
% 3.70/4.08 ( join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))) = join(one,composition(converse(sk2),sk2)) ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.3452.0.0','0.12.2.0',theory(equality)]),
% 3.70/4.08 [pos('L.2','L')]).
% 3.70/4.08 cnf('0.3452.0.2',plain,
% 3.70/4.08 ( join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))) = one ),
% 3.70/4.08 inference(reduction,[status(thm)],['0.3452.0.1','0.10.2.0',theory(equality)]),
% 3.70/4.08 [pos('R','L')]).
% 3.70/4.08 cnf('0.3452.1.0',plain,
% 3.70/4.08 ( join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))) = one ),
% 3.70/4.08 inference(weigh,[status(thm)],['0.3452.0.2']),
% 3.70/4.08 [weight('<131,1545,1071,[0,0,0,3]>')]).
% 3.70/4.08 cnf('0.3452.2.0',plain,
% 3.70/4.08 ( join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))) = one ),
% 3.70/4.08 inference(orient,[status(thm)],['0.3452.1.0',theory(equality)]),
% 3.70/4.08 [u,rule_3432]).
% 3.70/4.08 cnf('1.0.0.0',conjecture,
% 3.70/4.08 ( join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) = one ),
% 3.70/4.08 file('/tmp/WALDMEISTER_5687_n021',conjecture_1)).
% 3.70/4.08 cnf('1.0.0.1',plain,
% 3.70/4.08 ( join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))) = one ),
% 3.70/4.08 inference(reduction,[status(thm)],['1.0.0.0','0.4.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('1.0.0.2',plain,
% 3.70/4.08 ( one = one ),
% 3.70/4.08 inference(reduction,[status(thm)],['1.0.0.1','0.3452.2.0',theory(equality)]),
% 3.70/4.08 [pos('L','L')]).
% 3.70/4.08 cnf('1.0.0.3',plain,
% 3.70/4.08 ( $true ),
% 3.70/4.08 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 3.70/4.08 [conjecture_1]).
% 3.70/4.08
% 3.70/4.08 Proved Goals:
% 3.70/4.08 No. 1: join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) ?= one joined, current: one = one
% 3.70/4.08 1 goal was specified, which was proved.
% 3.70/4.08 % SZS output end CNFRefutation
% 3.70/4.08 #END OF PROOF
% 3.70/4.08
% 3.70/4.08 Problem WALDMEISTER_5687_n021
% 3.70/4.08 CPs.gen 1595657
% 3.70/4.08 CPs.reexp 0
% 3.70/4.08 Select 60442
% 3.70/4.08 R 3432
% 3.70/4.08 E 20
% 3.70/4.08 vsize 10.8M
% 3.70/4.08 rss 6.3M
% 3.70/4.08 process.time 3.120s
% 3.70/4.08 wallclock.time 3.120s
% 3.70/4.08 status S
% 3.70/4.08
% 3.70/4.08
% 3.70/4.08 Waldmeister states: Goal proved.
% 3.70/4.08 % SZS status Unsatisfiable
%------------------------------------------------------------------------------