TSTP Solution File: REL031-2 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL031-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n027.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 5.46s 5.88s
% Output : CNFRefutation 5.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL031-2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 8 11:08:15 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.97 * |/ | \/ | *
% 0.57/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.97 * A. Jaeger and B. Loechner | | *
% 0.57/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 Goals:
% 0.57/0.97 ------
% 0.57/0.97
% 0.57/0.97 ( 1) join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) ?=? one
% 0.57/0.97
% 0.57/0.97 Detected structure: Orkus
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 5.46/5.88 joined goal: 1 join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) ?= one to one
% 5.46/5.88 goal joined
% 5.46/5.88 % SZS status Unsatisfiable
% 5.46/5.88 #START OF PROOF
% 5.46/5.88 % SZS output start CNFRefutation
% 5.46/5.88 cnf('0.1.0.0',axiom,
% 5.46/5.88 ( X1 = composition(X1,one) ),
% 5.46/5.88 file('/tmp/WALDMEISTER_7619_n027')).
% 5.46/5.88 cnf('0.1.1.0',plain,
% 5.46/5.88 ( X1 = composition(X1,one) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.1.0.0']),
% 5.46/5.88 [weight('<0,0,0,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.1.2.0',plain,
% 5.46/5.88 ( composition(X1,one) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_1]).
% 5.46/5.88 cnf('0.3.0.0',axiom,
% 5.46/5.88 ( X1 = converse(converse(X1)) ),
% 5.46/5.88 file('/tmp/WALDMEISTER_7619_n027')).
% 5.46/5.88 cnf('0.3.1.0',plain,
% 5.46/5.88 ( X1 = converse(converse(X1)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.3.0.0']),
% 5.46/5.88 [weight('<2,0,0,[0,0,0,3]>')]).
% 5.46/5.88 cnf('0.3.2.0',plain,
% 5.46/5.88 ( converse(converse(X1)) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_3]).
% 5.46/5.88 cnf('0.4.0.0',axiom,
% 5.46/5.88 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 5.46/5.88 file('/tmp/WALDMEISTER_7619_n027')).
% 5.46/5.88 cnf('0.4.1.0',plain,
% 5.46/5.88 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.4.0.0']),
% 5.46/5.88 [weight('<3,0,0,[0,0,0,4]>')]).
% 5.46/5.88 cnf('0.4.2.0',plain,
% 5.46/5.88 ( composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_4]).
% 5.46/5.88 cnf('0.5.0.0',axiom,
% 5.46/5.88 ( composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)) ),
% 5.46/5.88 file('/tmp/WALDMEISTER_7619_n027')).
% 5.46/5.88 cnf('0.5.1.0',plain,
% 5.46/5.88 ( composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.5.0.0']),
% 5.46/5.88 [weight('<4,0,0,[0,0,0,5]>')]).
% 5.46/5.88 cnf('0.5.2.0',plain,
% 5.46/5.88 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_5]).
% 5.46/5.88 cnf('0.6.0.0',axiom,
% 5.46/5.88 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 5.46/5.88 file('/tmp/WALDMEISTER_7619_n027')).
% 5.46/5.88 cnf('0.6.1.0',plain,
% 5.46/5.88 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.6.0.0']),
% 5.46/5.88 [weight('<5,0,0,[0,0,0,6]>')]).
% 5.46/5.88 cnf('0.6.2.0',plain,
% 5.46/5.88 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_6]).
% 5.46/5.88 cnf('0.8.0.0',axiom,
% 5.46/5.88 ( join(X1,X2) = join(X2,X1) ),
% 5.46/5.88 file('/tmp/WALDMEISTER_7619_n027')).
% 5.46/5.88 cnf('0.8.1.0',plain,
% 5.46/5.88 ( join(X1,X2) = join(X2,X1) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.8.0.0']),
% 5.46/5.88 [weight('<7,0,0,[0,0,0,8]>')]).
% 5.46/5.88 cnf('0.8.2.0',plain,
% 5.46/5.88 ( join(X1,X2) = join(X2,X1) ),
% 5.46/5.88 inference(activate,[status(thm)],['0.8.1.0']),
% 5.46/5.88 [equation_1]).
% 5.46/5.88 cnf('0.9.0.0',axiom,
% 5.46/5.88 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 5.46/5.88 file('/tmp/WALDMEISTER_7619_n027')).
% 5.46/5.88 cnf('0.9.1.0',plain,
% 5.46/5.88 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.9.0.0']),
% 5.46/5.88 [weight('<8,0,0,[0,0,0,9]>')]).
% 5.46/5.88 cnf('0.9.2.0',plain,
% 5.46/5.88 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_8]).
% 5.46/5.88 cnf('0.10.0.0',axiom,
% 5.46/5.88 ( join(X1,complement(X1)) = top ),
% 5.46/5.88 file('/tmp/WALDMEISTER_7619_n027')).
% 5.46/5.88 cnf('0.10.1.0',plain,
% 5.46/5.88 ( join(X1,complement(X1)) = top ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.10.0.0']),
% 5.46/5.88 [weight('<9,0,0,[0,0,0,10]>')]).
% 5.46/5.88 cnf('0.10.2.0',plain,
% 5.46/5.88 ( join(X1,complement(X1)) = top ),
% 5.46/5.88 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_9]).
% 5.46/5.88 cnf('0.11.0.0',axiom,
% 5.46/5.88 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 5.46/5.88 file('/tmp/WALDMEISTER_7619_n027')).
% 5.46/5.88 cnf('0.11.1.0',plain,
% 5.46/5.88 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.11.0.0']),
% 5.46/5.88 [weight('<10,0,0,[0,0,0,11]>')]).
% 5.46/5.88 cnf('0.11.1.1',plain,
% 5.46/5.88 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.11.1.0','0.8.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.11.2.0',plain,
% 5.46/5.88 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.11.1.1',theory(equality)]),
% 5.46/5.88 [u,rule_10]).
% 5.46/5.88 cnf('0.12.0.0',axiom,
% 5.46/5.88 ( join(composition(converse(sk1),sk1),one) = one ),
% 5.46/5.88 file('/tmp/WALDMEISTER_7619_n027')).
% 5.46/5.88 cnf('0.12.1.0',plain,
% 5.46/5.88 ( join(composition(converse(sk1),sk1),one) = one ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.12.0.0']),
% 5.46/5.88 [weight('<11,0,0,[0,0,0,12]>')]).
% 5.46/5.88 cnf('0.12.1.1',plain,
% 5.46/5.88 ( join(one,composition(converse(sk1),sk1)) = one ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.12.1.0','0.8.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.12.2.0',plain,
% 5.46/5.88 ( join(one,composition(converse(sk1),sk1)) = one ),
% 5.46/5.88 inference(orient,[status(thm)],['0.12.1.1',theory(equality)]),
% 5.46/5.88 [u,rule_11]).
% 5.46/5.88 cnf('0.13.0.0',axiom,
% 5.46/5.88 ( join(composition(converse(sk2),sk2),one) = one ),
% 5.46/5.88 file('/tmp/WALDMEISTER_7619_n027')).
% 5.46/5.88 cnf('0.13.1.0',plain,
% 5.46/5.88 ( join(composition(converse(sk2),sk2),one) = one ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.13.0.0']),
% 5.46/5.88 [weight('<12,0,0,[0,0,0,13]>')]).
% 5.46/5.88 cnf('0.13.1.1',plain,
% 5.46/5.88 ( join(one,composition(converse(sk2),sk2)) = one ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.13.1.0','0.8.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.13.2.0',plain,
% 5.46/5.88 ( join(one,composition(converse(sk2),sk2)) = one ),
% 5.46/5.88 inference(orient,[status(thm)],['0.13.1.1',theory(equality)]),
% 5.46/5.88 [u,rule_12]).
% 5.46/5.88 cnf('0.14.0.0',axiom,
% 5.46/5.88 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 5.46/5.88 file('/tmp/WALDMEISTER_7619_n027')).
% 5.46/5.88 cnf('0.14.1.0',plain,
% 5.46/5.88 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.14.0.0']),
% 5.46/5.88 [weight('<13,0,0,[0,0,0,14]>')]).
% 5.46/5.88 cnf('0.14.2.0',plain,
% 5.46/5.88 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_13]).
% 5.46/5.88 cnf('0.17.0.0',axiom,
% 5.46/5.88 ( meet(X1,X2) = complement(join(complement(X1),complement(X2))) ),
% 5.46/5.88 file('/tmp/WALDMEISTER_7619_n027')).
% 5.46/5.88 cnf('0.17.1.0',plain,
% 5.46/5.88 ( meet(X1,X2) = complement(join(complement(X1),complement(X2))) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.17.0.0']),
% 5.46/5.88 [weight('<16,0,0,[0,0,0,17]>')]).
% 5.46/5.88 cnf('0.17.2.0',plain,
% 5.46/5.88 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_16]).
% 5.46/5.88 cnf('0.18.0.0',axiom,
% 5.46/5.88 ( meet(X1,complement(X1)) = zero ),
% 5.46/5.88 file('/tmp/WALDMEISTER_7619_n027')).
% 5.46/5.88 cnf('0.18.1.0',plain,
% 5.46/5.88 ( meet(X1,complement(X1)) = zero ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.18.0.0']),
% 5.46/5.88 [weight('<17,0,0,[0,0,0,18]>')]).
% 5.46/5.88 cnf('0.18.2.0',plain,
% 5.46/5.88 ( meet(X1,complement(X1)) = zero ),
% 5.46/5.88 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_17]).
% 5.46/5.88 cnf('0.19.0.0',plain,
% 5.46/5.88 ( meet(X1,complement(X1)) = complement(top) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.17.2.0','0.10.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.19.1.0',plain,
% 5.46/5.88 ( meet(X1,complement(X1)) = complement(top) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.19.0.0']),
% 5.46/5.88 [weight('<34,17,10,[1,0,0,1]>')]).
% 5.46/5.88 cnf('0.19.1.1',plain,
% 5.46/5.88 ( zero = complement(top) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.19.1.0','0.18.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.19.2.0',plain,
% 5.46/5.88 ( complement(top) = zero ),
% 5.46/5.88 inference(orient,[status(thm)],['0.19.1.1',theory(equality)]),
% 5.46/5.88 [x,rule_18]).
% 5.46/5.88 cnf('0.20.0.0',plain,
% 5.46/5.88 ( top = join(top,zero) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.10.2.0','0.19.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.20.1.0',plain,
% 5.46/5.88 ( top = join(top,zero) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.20.0.0']),
% 5.46/5.88 [weight('<19,19,10,[0,0,0,2]>')]).
% 5.46/5.88 cnf('0.20.1.1',plain,
% 5.46/5.88 ( top = join(zero,top) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.20.1.0','0.8.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.20.2.0',plain,
% 5.46/5.88 ( join(zero,top) = top ),
% 5.46/5.88 inference(orient,[status(thm)],['0.20.1.1',theory(equality)]),
% 5.46/5.88 [x,rule_19]).
% 5.46/5.88 cnf('0.22.0.0',plain,
% 5.46/5.88 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.17.2.0','0.8.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.22.0.1',plain,
% 5.46/5.88 ( meet(X1,X2) = meet(X2,X1) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.22.0.0','0.17.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.22.1.0',plain,
% 5.46/5.88 ( meet(X1,X2) = meet(X2,X1) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.22.0.1']),
% 5.46/5.88 [weight('<48,17,8,[1,0,0,1]>')]).
% 5.46/5.88 cnf('0.22.2.0',plain,
% 5.46/5.88 ( meet(X1,X2) = meet(X2,X1) ),
% 5.46/5.88 inference(activate,[status(thm)],['0.22.1.0']),
% 5.46/5.88 [equation_2]).
% 5.46/5.88 cnf('0.25.0.0',plain,
% 5.46/5.88 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.17.2.0','0.19.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1.1','L')]).
% 5.46/5.88 cnf('0.25.1.0',plain,
% 5.46/5.88 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.25.0.0']),
% 5.46/5.88 [weight('<53,19,17,[0,0,0,2]>')]).
% 5.46/5.88 cnf('0.25.2.0',plain,
% 5.46/5.88 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_23]).
% 5.46/5.88 cnf('0.27.0.0',plain,
% 5.46/5.88 ( join(zero,join(top,X1)) = join(top,X1) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.9.2.0','0.20.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.27.1.0',plain,
% 5.46/5.88 ( join(zero,join(top,X1)) = join(top,X1) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.27.0.0']),
% 5.46/5.88 [weight('<53,20,9,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.27.2.0',plain,
% 5.46/5.88 ( join(zero,join(top,X1)) = join(top,X1) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_25]).
% 5.46/5.88 cnf('0.28.0.0',plain,
% 5.46/5.88 ( join(top,X1) = join(zero,join(X1,top)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.27.2.0','0.8.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.28.1.0',plain,
% 5.46/5.88 ( join(top,X1) = join(zero,join(X1,top)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.28.0.0']),
% 5.46/5.88 [weight('<53,27,8,[1,0,0,2]>')]).
% 5.46/5.88 cnf('0.28.2.0',plain,
% 5.46/5.88 ( join(zero,join(X1,top)) = join(top,X1) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_26]).
% 5.46/5.88 cnf('0.30.0.0',plain,
% 5.46/5.88 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.30.1.0',plain,
% 5.46/5.88 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.30.0.0']),
% 5.46/5.88 [weight('<59,6,3,[1,0,0,3]>')]).
% 5.46/5.88 cnf('0.30.2.0',plain,
% 5.46/5.88 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_28]).
% 5.46/5.88 cnf('0.31.0.0',plain,
% 5.46/5.88 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.30.2.0','0.1.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.31.0.1',plain,
% 5.46/5.88 ( composition(converse(one),X1) = X1 ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.31.0.0','0.3.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.31.1.0',plain,
% 5.46/5.88 ( composition(converse(one),X1) = X1 ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.31.0.1']),
% 5.46/5.88 [weight('<29,30,1,[1,0,0,1]>')]).
% 5.46/5.88 cnf('0.31.2.0',plain,
% 5.46/5.88 ( composition(converse(one),X1) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_29]).
% 5.46/5.88 cnf('0.32.0.0',plain,
% 5.46/5.88 ( one = converse(one) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.31.2.0','0.1.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.32.1.0',plain,
% 5.46/5.88 ( one = converse(one) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.32.0.0']),
% 5.46/5.88 [weight('<11,31,1,[1,0,0,0]>')]).
% 5.46/5.88 cnf('0.32.2.0',plain,
% 5.46/5.88 ( converse(one) = one ),
% 5.46/5.88 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_30]).
% 5.46/5.88 cnf('0.33.0.0',plain,
% 5.46/5.88 ( composition(converse(one),X1) = X1 ),
% 5.46/5.88 inference(interreduction_right,[status(thm)],['0.31.2.0'])).
% 5.46/5.88 cnf('0.33.0.1',plain,
% 5.46/5.88 ( composition(one,X1) = X1 ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.33.0.0','0.32.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.33.1.0',plain,
% 5.46/5.88 ( composition(one,X1) = X1 ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.33.0.1']),
% 5.46/5.88 [weight('<19,31,32,[0,0,0,0]>')]).
% 5.46/5.88 cnf('0.33.2.0',plain,
% 5.46/5.88 ( composition(one,X1) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_31]).
% 5.46/5.88 cnf('0.36.0.0',plain,
% 5.46/5.88 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.11.2.0','0.33.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2.2.1','L')]).
% 5.46/5.88 cnf('0.36.0.1',plain,
% 5.46/5.88 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.36.0.0','0.32.2.0',theory(equality)]),
% 5.46/5.88 [pos('R.2.1','L')]).
% 5.46/5.88 cnf('0.36.0.2',plain,
% 5.46/5.88 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.36.0.1','0.33.2.0',theory(equality)]),
% 5.46/5.88 [pos('R.2','L')]).
% 5.46/5.88 cnf('0.36.1.0',plain,
% 5.46/5.88 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.36.0.2']),
% 5.46/5.88 [weight('<47,33,11,[0,0,0,7]>')]).
% 5.46/5.88 cnf('0.36.2.0',plain,
% 5.46/5.88 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_34]).
% 5.46/5.88 cnf('0.37.0.0',plain,
% 5.46/5.88 ( complement(top) = join(zero,complement(top)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.36.2.0','0.19.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.37.0.1',plain,
% 5.46/5.88 ( zero = join(zero,complement(top)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.37.0.0','0.19.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.37.0.2',plain,
% 5.46/5.88 ( zero = join(zero,zero) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.37.0.1','0.19.2.0',theory(equality)]),
% 5.46/5.88 [pos('R.2','L')]).
% 5.46/5.88 cnf('0.37.1.0',plain,
% 5.46/5.88 ( zero = join(zero,zero) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.37.0.2']),
% 5.46/5.88 [weight('<19,36,19,[1,0,0,1]>')]).
% 5.46/5.88 cnf('0.37.2.0',plain,
% 5.46/5.88 ( join(zero,zero) = zero ),
% 5.46/5.88 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_35]).
% 5.46/5.88 cnf('0.40.0.0',plain,
% 5.46/5.88 ( meet(X1,X1) = complement(complement(X1)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.17.2.0','0.36.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.40.1.0',plain,
% 5.46/5.88 ( meet(X1,X1) = complement(complement(X1)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.40.0.0']),
% 5.46/5.88 [weight('<48,36,17,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.40.2.0',plain,
% 5.46/5.88 ( meet(X1,X1) = complement(complement(X1)) ),
% 5.46/5.88 inference(activate,[status(thm)],['0.40.1.0']),
% 5.46/5.88 [equation_3]).
% 5.46/5.88 cnf('0.41.0.0',plain,
% 5.46/5.88 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.9.2.0','0.37.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.41.1.0',plain,
% 5.46/5.88 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.41.0.0']),
% 5.46/5.88 [weight('<53,37,9,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.41.2.0',plain,
% 5.46/5.88 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_38]).
% 5.46/5.88 cnf('0.42.0.0',plain,
% 5.46/5.88 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.41.2.0','0.8.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.42.1.0',plain,
% 5.46/5.88 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.42.0.0']),
% 5.46/5.88 [weight('<53,41,8,[1,0,0,2]>')]).
% 5.46/5.88 cnf('0.42.2.0',plain,
% 5.46/5.88 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_39]).
% 5.46/5.88 cnf('0.45.0.0',plain,
% 5.46/5.88 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.14.2.0','0.3.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.45.1.0',plain,
% 5.46/5.88 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.45.0.0']),
% 5.46/5.88 [weight('<59,14,3,[1,0,0,1]>')]).
% 5.46/5.88 cnf('0.45.2.0',plain,
% 5.46/5.88 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_42]).
% 5.46/5.88 cnf('0.47.0.0',plain,
% 5.46/5.88 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.45.2.0','0.10.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.47.1.0',plain,
% 5.46/5.88 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.47.0.0']),
% 5.46/5.88 [weight('<62,45,10,[1,0,0,1]>')]).
% 5.46/5.88 cnf('0.47.2.0',plain,
% 5.46/5.88 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_44]).
% 5.46/5.88 cnf('0.50.0.0',plain,
% 5.46/5.88 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.50.1.0',plain,
% 5.46/5.88 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.50.0.0']),
% 5.46/5.88 [weight('<69,10,9,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.50.2.0',plain,
% 5.46/5.88 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_47]).
% 5.46/5.88 cnf('0.51.0.0',plain,
% 5.46/5.88 ( join(top,complement(X1)) = join(X1,complement(X1)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.50.2.0','0.36.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.51.0.1',plain,
% 5.46/5.88 ( join(top,complement(X1)) = top ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.51.0.0','0.10.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.51.1.0',plain,
% 5.46/5.88 ( join(top,complement(X1)) = top ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.51.0.1']),
% 5.46/5.88 [weight('<29,50,36,[1,0,0,2]>')]).
% 5.46/5.88 cnf('0.51.2.0',plain,
% 5.46/5.88 ( join(top,complement(X1)) = top ),
% 5.46/5.88 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_48]).
% 5.46/5.88 cnf('0.54.0.0',plain,
% 5.46/5.88 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.50.2.0','0.10.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.54.1.0',plain,
% 5.46/5.88 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.54.0.0']),
% 5.46/5.88 [weight('<53,50,10,[1,0,0,2]>')]).
% 5.46/5.88 cnf('0.54.1.1',plain,
% 5.46/5.88 ( top = join(X1,top) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.54.1.0','0.51.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.54.2.0',plain,
% 5.46/5.88 ( join(X1,top) = top ),
% 5.46/5.88 inference(orient,[status(thm)],['0.54.1.1',theory(equality)]),
% 5.46/5.88 [x,rule_51]).
% 5.46/5.88 cnf('0.55.0.0',plain,
% 5.46/5.88 ( join(zero,join(X1,top)) = join(top,X1) ),
% 5.46/5.88 inference(interreduction_right,[status(thm)],['0.28.2.0'])).
% 5.46/5.88 cnf('0.55.0.1',plain,
% 5.46/5.88 ( join(zero,top) = join(top,X1) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.55.0.0','0.54.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.55.0.2',plain,
% 5.46/5.88 ( top = join(top,X1) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.55.0.1','0.54.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.55.1.0',plain,
% 5.46/5.88 ( top = join(top,X1) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.55.0.2']),
% 5.46/5.88 [weight('<19,28,54,[0,0,0,0]>')]).
% 5.46/5.88 cnf('0.55.2.0',plain,
% 5.46/5.88 ( join(top,X1) = top ),
% 5.46/5.88 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_52]).
% 5.46/5.88 cnf('0.56.0.0',plain,
% 5.46/5.88 ( top = converse(top) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.55.2.0','0.47.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.56.1.0',plain,
% 5.46/5.88 ( top = converse(top) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.56.0.0']),
% 5.46/5.88 [weight('<11,55,47,[1,0,0,0]>')]).
% 5.46/5.88 cnf('0.56.2.0',plain,
% 5.46/5.88 ( converse(top) = top ),
% 5.46/5.88 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_53]).
% 5.46/5.88 cnf('0.60.0.0',plain,
% 5.46/5.88 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 5.46/5.88 inference(interreduction_right,[status(thm)],['0.47.2.0'])).
% 5.46/5.88 cnf('0.60.0.1',plain,
% 5.46/5.88 ( join(X1,converse(complement(converse(X1)))) = top ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.60.0.0','0.56.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.60.1.0',plain,
% 5.46/5.88 ( join(X1,converse(complement(converse(X1)))) = top ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.60.0.1']),
% 5.46/5.88 [weight('<55,47,56,[0,0,0,0]>')]).
% 5.46/5.88 cnf('0.60.2.0',plain,
% 5.46/5.88 ( join(X1,converse(complement(converse(X1)))) = top ),
% 5.46/5.88 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_57]).
% 5.46/5.88 cnf('0.61.0.0',axiom,
% 5.46/5.88 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 5.46/5.88 file('/tmp/WALDMEISTER_7619_n027')).
% 5.46/5.88 cnf('0.61.1.0',plain,
% 5.46/5.88 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.61.0.0']),
% 5.46/5.88 [weight('<0,0,0,[0,0,0,2]>')]).
% 5.46/5.88 cnf('0.61.1.1',plain,
% 5.46/5.88 ( X1 = join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.61.1.0','0.8.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.61.1.2',plain,
% 5.46/5.88 ( X1 = join(complement(join(complement(X1),X2)),meet(X1,X2)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.61.1.1','0.17.2.0',theory(equality)]),
% 5.46/5.88 [pos('R.2','L')]).
% 5.46/5.88 cnf('0.61.1.3',plain,
% 5.46/5.88 ( X1 = join(meet(X1,X2),complement(join(complement(X1),X2))) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.61.1.2','0.8.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.61.2.0',plain,
% 5.46/5.88 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.61.1.3',theory(equality)]),
% 5.46/5.88 [x,rule_58]).
% 5.46/5.88 cnf('0.62.0.0',plain,
% 5.46/5.88 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.61.2.0','0.18.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.62.0.1',plain,
% 5.46/5.88 ( X1 = join(zero,meet(X1,X1)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.62.0.0','0.17.2.0',theory(equality)]),
% 5.46/5.88 [pos('R.2','L')]).
% 5.46/5.88 cnf('0.62.1.0',plain,
% 5.46/5.88 ( X1 = join(zero,meet(X1,X1)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.62.0.1']),
% 5.46/5.88 [weight('<41,61,18,[1,0,0,1]>')]).
% 5.46/5.88 cnf('0.62.2.0',plain,
% 5.46/5.88 ( join(zero,meet(X1,X1)) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_59]).
% 5.46/5.88 cnf('0.63.0.0',plain,
% 5.46/5.88 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.41.2.0','0.62.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.63.0.1',plain,
% 5.46/5.88 ( X1 = join(zero,X1) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.63.0.0','0.62.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.63.1.0',plain,
% 5.46/5.88 ( X1 = join(zero,X1) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.63.0.1']),
% 5.46/5.88 [weight('<19,62,41,[0,0,0,2]>')]).
% 5.46/5.88 cnf('0.63.2.0',plain,
% 5.46/5.88 ( join(zero,X1) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_60]).
% 5.46/5.88 cnf('0.66.0.0',plain,
% 5.46/5.88 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 5.46/5.88 inference(interreduction_right,[status(thm)],['0.42.2.0'])).
% 5.46/5.88 cnf('0.66.0.1',plain,
% 5.46/5.88 ( join(X1,zero) = join(zero,X1) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.66.0.0','0.63.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.66.0.2',plain,
% 5.46/5.88 ( join(X1,zero) = X1 ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.66.0.1','0.63.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.66.1.0',plain,
% 5.46/5.88 ( join(X1,zero) = X1 ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.66.0.2']),
% 5.46/5.88 [weight('<19,42,63,[0,0,0,0]>')]).
% 5.46/5.88 cnf('0.66.2.0',plain,
% 5.46/5.88 ( join(X1,zero) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_63]).
% 5.46/5.88 cnf('0.67.0.0',plain,
% 5.46/5.88 ( join(zero,meet(X1,X1)) = X1 ),
% 5.46/5.88 inference(interreduction_right,[status(thm)],['0.62.2.0'])).
% 5.46/5.88 cnf('0.67.0.1',plain,
% 5.46/5.88 ( meet(X1,X1) = X1 ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.67.0.0','0.63.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.67.1.0',plain,
% 5.46/5.88 ( meet(X1,X1) = X1 ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.67.0.1']),
% 5.46/5.88 [weight('<19,62,63,[0,0,0,0]>')]).
% 5.46/5.88 cnf('0.67.2.0',plain,
% 5.46/5.88 ( meet(X1,X1) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_64]).
% 5.46/5.88 cnf('0.68.0.0',plain,
% 5.46/5.88 ( meet(X1,X1) = complement(complement(X1)) ),
% 5.46/5.88 inference(interreduction_right,[status(thm)],['0.40.2.0'])).
% 5.46/5.88 cnf('0.68.0.1',plain,
% 5.46/5.88 ( X1 = complement(complement(X1)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.68.0.0','0.67.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.68.1.0',plain,
% 5.46/5.88 ( X1 = complement(complement(X1)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.68.0.1']),
% 5.46/5.88 [weight('<19,40,67,[0,0,0,0]>')]).
% 5.46/5.88 cnf('0.68.2.0',plain,
% 5.46/5.88 ( complement(complement(X1)) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_65]).
% 5.46/5.88 cnf('0.71.0.0',plain,
% 5.46/5.88 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.36.2.0','0.68.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.71.0.1',plain,
% 5.46/5.88 ( X1 = join(X1,complement(complement(X1))) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.71.0.0','0.68.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.71.0.2',plain,
% 5.46/5.88 ( X1 = join(X1,X1) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.71.0.1','0.68.2.0',theory(equality)]),
% 5.46/5.88 [pos('R.2','L')]).
% 5.46/5.88 cnf('0.71.1.0',plain,
% 5.46/5.88 ( X1 = join(X1,X1) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.71.0.2']),
% 5.46/5.88 [weight('<19,68,36,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.71.2.0',plain,
% 5.46/5.88 ( join(X1,X1) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_68]).
% 5.46/5.88 cnf('0.72.0.0',plain,
% 5.46/5.88 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 5.46/5.88 inference(interreduction_right,[status(thm)],['0.25.2.0'])).
% 5.46/5.88 cnf('0.72.0.1',plain,
% 5.46/5.88 ( complement(complement(X1)) = meet(top,X1) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.72.0.0','0.63.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.72.1.0',plain,
% 5.46/5.88 ( complement(complement(X1)) = meet(top,X1) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.72.0.1']),
% 5.46/5.88 [weight('<27,25,63,[0,0,0,0]>')]).
% 5.46/5.88 cnf('0.72.1.1',plain,
% 5.46/5.88 ( X1 = meet(top,X1) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.72.1.0','0.68.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.72.2.0',plain,
% 5.46/5.88 ( meet(top,X1) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.72.1.1',theory(equality)]),
% 5.46/5.88 [x,rule_69]).
% 5.46/5.88 cnf('0.73.0.0',plain,
% 5.46/5.88 ( X1 = meet(X1,top) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.72.2.0','0.22.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.73.1.0',plain,
% 5.46/5.88 ( X1 = meet(X1,top) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.73.0.0']),
% 5.46/5.88 [weight('<19,72,22,[1,0,0,0]>')]).
% 5.46/5.88 cnf('0.73.2.0',plain,
% 5.46/5.88 ( meet(X1,top) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_70]).
% 5.46/5.88 cnf('0.79.0.0',plain,
% 5.46/5.88 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.9.2.0','0.71.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.79.1.0',plain,
% 5.46/5.88 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.79.0.0']),
% 5.46/5.88 [weight('<53,71,9,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.79.2.0',plain,
% 5.46/5.88 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_76]).
% 5.46/5.88 cnf('0.80.0.0',plain,
% 5.46/5.88 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.79.2.0','0.61.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.80.0.1',plain,
% 5.46/5.88 ( X1 = join(meet(X1,X2),X1) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.80.0.0','0.61.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.80.1.0',plain,
% 5.46/5.88 ( X1 = join(meet(X1,X2),X1) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.80.0.1']),
% 5.46/5.88 [weight('<41,79,61,[1,0,0,2]>')]).
% 5.46/5.88 cnf('0.80.1.1',plain,
% 5.46/5.88 ( X1 = join(X1,meet(X1,X2)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.80.1.0','0.8.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.80.2.0',plain,
% 5.46/5.88 ( join(X1,meet(X1,X2)) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.80.1.1',theory(equality)]),
% 5.46/5.88 [x,rule_77]).
% 5.46/5.88 cnf('0.81.0.0',plain,
% 5.46/5.88 ( X1 = join(X1,meet(X2,X1)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.80.2.0','0.22.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.81.1.0',plain,
% 5.46/5.88 ( X1 = join(X1,meet(X2,X1)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.81.0.0']),
% 5.46/5.88 [weight('<41,80,22,[1,0,0,2]>')]).
% 5.46/5.88 cnf('0.81.2.0',plain,
% 5.46/5.88 ( join(X1,meet(X2,X1)) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_78]).
% 5.46/5.88 cnf('0.83.0.0',plain,
% 5.46/5.88 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 5.46/5.88 inference(interreduction_right,[status(thm)],['0.50.2.0'])).
% 5.46/5.88 cnf('0.83.0.1',plain,
% 5.46/5.88 ( join(X1,join(complement(X1),X2)) = top ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.83.0.0','0.55.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.83.1.0',plain,
% 5.46/5.88 ( join(X1,join(complement(X1),X2)) = top ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.83.0.1']),
% 5.46/5.88 [weight('<55,50,55,[0,0,0,0]>')]).
% 5.46/5.88 cnf('0.83.2.0',plain,
% 5.46/5.88 ( join(X1,join(complement(X1),X2)) = top ),
% 5.46/5.88 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_80]).
% 5.46/5.88 cnf('0.84.0.0',plain,
% 5.46/5.88 ( X1 = join(meet(X1,join(complement(complement(X1)),X2)),complement(top)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.61.2.0','0.83.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2.1','L')]).
% 5.46/5.88 cnf('0.84.0.1',plain,
% 5.46/5.88 ( X1 = join(meet(X1,join(X1,X2)),complement(top)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.84.0.0','0.68.2.0',theory(equality)]),
% 5.46/5.88 [pos('R.1.2.1','L')]).
% 5.46/5.88 cnf('0.84.0.2',plain,
% 5.46/5.88 ( X1 = join(meet(X1,join(X1,X2)),zero) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.84.0.1','0.19.2.0',theory(equality)]),
% 5.46/5.88 [pos('R.2','L')]).
% 5.46/5.88 cnf('0.84.0.3',plain,
% 5.46/5.88 ( X1 = meet(X1,join(X1,X2)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.84.0.2','0.66.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.84.1.0',plain,
% 5.46/5.88 ( X1 = meet(X1,join(X1,X2)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.84.0.3']),
% 5.46/5.88 [weight('<41,83,61,[0,0,0,5]>')]).
% 5.46/5.88 cnf('0.84.2.0',plain,
% 5.46/5.88 ( meet(X1,join(X1,X2)) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_81]).
% 5.46/5.88 cnf('0.85.0.0',plain,
% 5.46/5.88 ( X1 = meet(X1,join(X2,X1)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.84.2.0','0.8.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.85.1.0',plain,
% 5.46/5.88 ( X1 = meet(X1,join(X2,X1)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.85.0.0']),
% 5.46/5.88 [weight('<41,84,8,[1,0,0,2]>')]).
% 5.46/5.88 cnf('0.85.2.0',plain,
% 5.46/5.88 ( meet(X1,join(X2,X1)) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_82]).
% 5.46/5.88 cnf('0.101.0.0',plain,
% 5.46/5.88 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.17.2.0','0.68.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1.1','L')]).
% 5.46/5.88 cnf('0.101.1.0',plain,
% 5.46/5.88 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.101.0.0']),
% 5.46/5.88 [weight('<59,68,17,[0,0,0,2]>')]).
% 5.46/5.88 cnf('0.101.2.0',plain,
% 5.46/5.88 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_98]).
% 5.46/5.88 cnf('0.102.0.0',plain,
% 5.46/5.88 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.101.2.0','0.8.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.102.1.0',plain,
% 5.46/5.88 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.102.0.0']),
% 5.46/5.88 [weight('<59,101,8,[1,0,0,1]>')]).
% 5.46/5.88 cnf('0.102.2.0',plain,
% 5.46/5.88 ( complement(join(complement(X1),X2)) = meet(complement(X2),X1) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_99]).
% 5.46/5.88 cnf('0.103.0.0',plain,
% 5.46/5.88 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.68.2.0','0.101.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.103.1.0',plain,
% 5.46/5.88 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.103.0.0']),
% 5.46/5.88 [weight('<59,101,68,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.103.2.0',plain,
% 5.46/5.88 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_100]).
% 5.46/5.88 cnf('0.105.0.0',plain,
% 5.46/5.88 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.103.2.0','0.22.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.105.1.0',plain,
% 5.46/5.88 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.105.0.0']),
% 5.46/5.88 [weight('<59,103,22,[1,0,0,1]>')]).
% 5.46/5.88 cnf('0.105.2.0',plain,
% 5.46/5.88 ( complement(meet(X1,complement(X2))) = join(X2,complement(X1)) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_102]).
% 5.46/5.88 cnf('0.106.0.0',plain,
% 5.46/5.88 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.103.2.0','0.68.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1.1','L')]).
% 5.46/5.88 cnf('0.106.1.0',plain,
% 5.46/5.88 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.106.0.0']),
% 5.46/5.88 [weight('<59,103,68,[1,0,0,2]>')]).
% 5.46/5.88 cnf('0.106.2.0',plain,
% 5.46/5.88 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_103]).
% 5.46/5.88 cnf('0.109.0.0',plain,
% 5.46/5.88 ( join(X1,converse(meet(X2,converse(X1)))) = converse(converse(X1)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.45.2.0','0.81.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.109.0.1',plain,
% 5.46/5.88 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.109.0.0','0.3.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.109.1.0',plain,
% 5.46/5.88 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.109.0.1']),
% 5.46/5.88 [weight('<71,81,45,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.109.2.0',plain,
% 5.46/5.88 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_106]).
% 5.46/5.88 cnf('0.128.0.0',plain,
% 5.46/5.88 ( composition(converse(sk1),sk1) = meet(composition(converse(sk1),sk1),one) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.85.2.0','0.12.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.128.1.0',plain,
% 5.46/5.88 ( composition(converse(sk1),sk1) = meet(composition(converse(sk1),sk1),one) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.128.0.0']),
% 5.46/5.88 [weight('<76,85,12,[1,0,0,2]>')]).
% 5.46/5.88 cnf('0.128.1.1',plain,
% 5.46/5.88 ( composition(converse(sk1),sk1) = meet(one,composition(converse(sk1),sk1)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.128.1.0','0.22.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.128.2.0',plain,
% 5.46/5.88 ( meet(one,composition(converse(sk1),sk1)) = composition(converse(sk1),sk1) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.128.1.1',theory(equality)]),
% 5.46/5.88 [x,rule_125]).
% 5.46/5.88 cnf('0.139.0.0',plain,
% 5.46/5.88 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.9.2.0','0.81.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.139.1.0',plain,
% 5.46/5.88 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.139.0.0']),
% 5.46/5.88 [weight('<87,81,9,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.139.2.0',plain,
% 5.46/5.88 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.139.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_136]).
% 5.46/5.88 cnf('0.153.0.0',plain,
% 5.46/5.88 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 5.46/5.88 inference(interreduction_right,[status(thm)],['0.61.2.0'])).
% 5.46/5.88 cnf('0.153.0.1',plain,
% 5.46/5.88 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.153.0.0','0.102.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.153.1.0',plain,
% 5.46/5.88 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.153.0.1']),
% 5.46/5.88 [weight('<89,61,102,[0,0,0,0]>')]).
% 5.46/5.88 cnf('0.153.2.0',plain,
% 5.46/5.88 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_150]).
% 5.46/5.88 cnf('0.154.0.0',plain,
% 5.46/5.88 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.139.2.0','0.153.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.154.1.0',plain,
% 5.46/5.88 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.154.0.0']),
% 5.46/5.88 [weight('<69,153,139,[0,0,0,2]>')]).
% 5.46/5.88 cnf('0.154.2.0',plain,
% 5.46/5.88 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.154.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_151]).
% 5.46/5.88 cnf('0.158.0.0',plain,
% 5.46/5.88 ( meet(complement(meet(complement(complement(X1)),X2)),X1) = complement(join(complement(X1),X2)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.102.2.0','0.154.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.158.0.1',plain,
% 5.46/5.88 ( meet(join(complement(X1),complement(X2)),X1) = complement(join(complement(X1),X2)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.158.0.0','0.103.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.158.0.2',plain,
% 5.46/5.88 ( meet(complement(meet(X1,X2)),X1) = complement(join(complement(X1),X2)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.158.0.1','0.106.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.158.0.3',plain,
% 5.46/5.88 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.158.0.2','0.102.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.158.1.0',plain,
% 5.46/5.88 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.158.0.3']),
% 5.46/5.88 [weight('<76,154,102,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.158.1.1',plain,
% 5.46/5.88 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.158.1.0','0.22.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.158.2.0',plain,
% 5.46/5.88 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.158.1.1',theory(equality)]),
% 5.46/5.88 [u,rule_155]).
% 5.46/5.88 cnf('0.159.0.0',plain,
% 5.46/5.88 ( meet(complement(complement(X1)),X2) = meet(X2,join(X1,complement(X2))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.158.2.0','0.105.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.159.0.1',plain,
% 5.46/5.88 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.159.0.0','0.68.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.159.1.0',plain,
% 5.46/5.88 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.159.0.1']),
% 5.46/5.88 [weight('<69,158,105,[1,0,0,2]>')]).
% 5.46/5.88 cnf('0.159.2.0',plain,
% 5.46/5.88 ( meet(X1,join(X2,complement(X1))) = meet(X2,X1) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_156]).
% 5.46/5.88 cnf('0.160.0.0',plain,
% 5.46/5.88 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.159.2.0','0.8.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.160.1.0',plain,
% 5.46/5.88 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.160.0.0']),
% 5.46/5.88 [weight('<69,159,8,[1,0,0,2]>')]).
% 5.46/5.88 cnf('0.160.2.0',plain,
% 5.46/5.88 ( meet(X1,join(complement(X1),X2)) = meet(X2,X1) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_157]).
% 5.46/5.88 cnf('0.161.0.0',plain,
% 5.46/5.88 ( meet(converse(complement(converse(complement(X1)))),X1) = meet(X1,top) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.160.2.0','0.60.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.161.0.1',plain,
% 5.46/5.88 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.161.0.0','0.73.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.161.1.0',plain,
% 5.46/5.88 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.161.0.1']),
% 5.46/5.88 [weight('<71,160,60,[1,0,0,2]>')]).
% 5.46/5.88 cnf('0.161.1.1',plain,
% 5.46/5.88 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.161.1.0','0.22.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.161.2.0',plain,
% 5.46/5.88 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.161.1.1',theory(equality)]),
% 5.46/5.88 [u,rule_158]).
% 5.46/5.88 cnf('0.162.0.0',plain,
% 5.46/5.88 ( join(X1,complement(converse(complement(converse(complement(complement(X1))))))) = complement(complement(X1)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.103.2.0','0.161.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.162.0.1',plain,
% 5.46/5.88 ( join(X1,complement(converse(complement(converse(X1))))) = complement(complement(X1)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.162.0.0','0.68.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2.1.1.1.1','L')]).
% 5.46/5.88 cnf('0.162.0.2',plain,
% 5.46/5.88 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.162.0.1','0.68.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.162.1.0',plain,
% 5.46/5.88 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.162.0.2']),
% 5.46/5.88 [weight('<71,161,103,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.162.2.0',plain,
% 5.46/5.88 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.162.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_159]).
% 5.46/5.88 cnf('0.164.0.0',plain,
% 5.46/5.88 ( one = join(one,complement(converse(complement(one)))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.162.2.0','0.32.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2.1.1.1','L')]).
% 5.46/5.88 cnf('0.164.1.0',plain,
% 5.46/5.88 ( one = join(one,complement(converse(complement(one)))) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.164.0.0']),
% 5.46/5.88 [weight('<55,162,32,[1,0,0,5]>')]).
% 5.46/5.88 cnf('0.164.2.0',plain,
% 5.46/5.88 ( join(one,complement(converse(complement(one)))) = one ),
% 5.46/5.88 inference(orient,[status(thm)],['0.164.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_161]).
% 5.46/5.88 cnf('0.165.0.0',plain,
% 5.46/5.88 ( meet(complement(one),converse(complement(one))) = complement(one) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.101.2.0','0.164.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.165.1.0',plain,
% 5.46/5.88 ( meet(complement(one),converse(complement(one))) = complement(one) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.165.0.0']),
% 5.46/5.88 [weight('<62,164,101,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.165.2.0',plain,
% 5.46/5.88 ( meet(complement(one),converse(complement(one))) = complement(one) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.165.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_162]).
% 5.46/5.88 cnf('0.166.0.0',plain,
% 5.46/5.88 ( complement(one) = join(complement(one),converse(complement(one))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.109.2.0','0.165.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2.1','L')]).
% 5.46/5.88 cnf('0.166.1.0',plain,
% 5.46/5.88 ( complement(one) = join(complement(one),converse(complement(one))) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.166.0.0']),
% 5.46/5.88 [weight('<62,165,109,[0,0,0,3]>')]).
% 5.46/5.88 cnf('0.166.2.0',plain,
% 5.46/5.88 ( join(complement(one),converse(complement(one))) = complement(one) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.166.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_163]).
% 5.46/5.88 cnf('0.169.0.0',plain,
% 5.46/5.88 ( converse(complement(one)) = join(converse(complement(one)),complement(one)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.81.2.0','0.165.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.169.1.0',plain,
% 5.46/5.88 ( converse(complement(one)) = join(converse(complement(one)),complement(one)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.169.0.0']),
% 5.46/5.88 [weight('<69,165,81,[0,0,0,2]>')]).
% 5.46/5.88 cnf('0.169.1.1',plain,
% 5.46/5.88 ( converse(complement(one)) = join(complement(one),converse(complement(one))) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.169.1.0','0.8.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.169.1.2',plain,
% 5.46/5.88 ( converse(complement(one)) = complement(one) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.169.1.1','0.166.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.169.2.0',plain,
% 5.46/5.88 ( converse(complement(one)) = complement(one) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.169.1.2',theory(equality)]),
% 5.46/5.88 [u,rule_166]).
% 5.46/5.88 cnf('0.172.0.0',plain,
% 5.46/5.88 ( converse(join(complement(one),X1)) = join(complement(one),converse(X1)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.14.2.0','0.169.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.172.1.0',plain,
% 5.46/5.88 ( converse(join(complement(one),X1)) = join(complement(one),converse(X1)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.172.0.0']),
% 5.46/5.88 [weight('<65,169,14,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.172.2.0',plain,
% 5.46/5.88 ( converse(join(complement(one),X1)) = join(complement(one),converse(X1)) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.172.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_169]).
% 5.46/5.88 cnf('0.174.0.0',plain,
% 5.46/5.88 ( join(X1,converse(complement(converse(complement(converse(converse(X1))))))) = converse(converse(X1)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.45.2.0','0.162.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.174.0.1',plain,
% 5.46/5.88 ( join(X1,converse(complement(converse(complement(X1))))) = converse(converse(X1)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.174.0.0','0.3.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2.1.1.1.1','L')]).
% 5.46/5.88 cnf('0.174.0.2',plain,
% 5.46/5.88 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.174.0.1','0.3.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.174.1.0',plain,
% 5.46/5.88 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.174.0.2']),
% 5.46/5.88 [weight('<71,162,45,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.174.2.0',plain,
% 5.46/5.88 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.174.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_171]).
% 5.46/5.88 cnf('0.177.0.0',plain,
% 5.46/5.88 ( meet(complement(converse(complement(converse(complement(complement(X1)))))),X1) = complement(complement(X1)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.102.2.0','0.174.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.177.0.1',plain,
% 5.46/5.88 ( meet(complement(converse(complement(converse(X1)))),X1) = complement(complement(X1)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.177.0.0','0.68.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1.1.1.1.1','L')]).
% 5.46/5.88 cnf('0.177.0.2',plain,
% 5.46/5.88 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.177.0.1','0.68.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.177.1.0',plain,
% 5.46/5.88 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.177.0.2']),
% 5.46/5.88 [weight('<71,174,102,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.177.1.1',plain,
% 5.46/5.88 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.177.1.0','0.22.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.177.2.0',plain,
% 5.46/5.88 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.177.1.1',theory(equality)]),
% 5.46/5.88 [u,rule_174]).
% 5.46/5.88 cnf('0.182.0.0',plain,
% 5.46/5.88 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.159.2.0','0.68.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2.2','L')]).
% 5.46/5.88 cnf('0.182.1.0',plain,
% 5.46/5.88 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.182.0.0']),
% 5.46/5.88 [weight('<76,159,68,[1,0,0,4]>')]).
% 5.46/5.88 cnf('0.182.2.0',plain,
% 5.46/5.88 ( meet(complement(X1),join(X2,X1)) = meet(X2,complement(X1)) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.182.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_179]).
% 5.46/5.88 cnf('0.183.0.0',plain,
% 5.46/5.88 ( meet(X1,complement(converse(complement(converse(X1))))) = meet(complement(converse(complement(converse(X1)))),top) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.182.2.0','0.60.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.183.0.1',plain,
% 5.46/5.88 ( X1 = meet(complement(converse(complement(converse(X1)))),top) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.183.0.0','0.177.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.183.0.2',plain,
% 5.46/5.88 ( X1 = complement(converse(complement(converse(X1)))) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.183.0.1','0.73.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.183.1.0',plain,
% 5.46/5.88 ( X1 = complement(converse(complement(converse(X1)))) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.183.0.2']),
% 5.46/5.88 [weight('<41,182,60,[1,0,0,3]>')]).
% 5.46/5.88 cnf('0.183.2.0',plain,
% 5.46/5.88 ( complement(converse(complement(converse(X1)))) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.183.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_180]).
% 5.46/5.88 cnf('0.184.0.0',plain,
% 5.46/5.88 ( converse(X1) = complement(converse(complement(X1))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.183.2.0','0.3.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1.1.1','L')]).
% 5.46/5.88 cnf('0.184.1.0',plain,
% 5.46/5.88 ( converse(X1) = complement(converse(complement(X1))) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.184.0.0']),
% 5.46/5.88 [weight('<34,183,3,[1,0,0,3]>')]).
% 5.46/5.88 cnf('0.184.2.0',plain,
% 5.46/5.88 ( complement(converse(complement(X1))) = converse(X1) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.184.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_181]).
% 5.46/5.88 cnf('0.185.0.0',plain,
% 5.46/5.88 ( converse(complement(X1)) = complement(converse(X1)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.68.2.0','0.184.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.185.1.0',plain,
% 5.46/5.88 ( converse(complement(X1)) = complement(converse(X1)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.185.0.0']),
% 5.46/5.88 [weight('<27,184,68,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.185.2.0',plain,
% 5.46/5.88 ( converse(complement(X1)) = complement(converse(X1)) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.185.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_182]).
% 5.46/5.88 cnf('0.186.0.0',plain,
% 5.46/5.88 ( join(complement(one),converse(complement(X1))) = converse(complement(meet(one,X1))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.172.2.0','0.106.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.186.1.0',plain,
% 5.46/5.88 ( join(complement(one),converse(complement(X1))) = converse(complement(meet(one,X1))) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.186.0.0']),
% 5.46/5.88 [weight('<83,172,106,[1,0,0,1]>')]).
% 5.46/5.88 cnf('0.186.1.1',plain,
% 5.46/5.88 ( join(complement(one),complement(converse(X1))) = converse(complement(meet(one,X1))) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.186.1.0','0.185.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.186.1.2',plain,
% 5.46/5.88 ( complement(meet(one,converse(X1))) = converse(complement(meet(one,X1))) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.186.1.1','0.106.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.186.1.3',plain,
% 5.46/5.88 ( complement(meet(one,converse(X1))) = complement(converse(meet(one,X1))) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.186.1.2','0.185.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.186.2.0',plain,
% 5.46/5.88 ( complement(converse(meet(one,X1))) = complement(meet(one,converse(X1))) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.186.1.3',theory(equality)]),
% 5.46/5.88 [x,rule_183]).
% 5.46/5.88 cnf('0.187.0.0',plain,
% 5.46/5.88 ( converse(meet(one,X1)) = complement(complement(meet(one,converse(X1)))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.68.2.0','0.186.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.187.0.1',plain,
% 5.46/5.88 ( converse(meet(one,X1)) = meet(one,converse(X1)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.187.0.0','0.68.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.187.1.0',plain,
% 5.46/5.88 ( converse(meet(one,X1)) = meet(one,converse(X1)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.187.0.1']),
% 5.46/5.88 [weight('<44,186,68,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.187.2.0',plain,
% 5.46/5.88 ( converse(meet(one,X1)) = meet(one,converse(X1)) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_184]).
% 5.46/5.88 cnf('0.316.0.0',plain,
% 5.46/5.88 ( composition(converse(X1),composition(converse(X2),X3)) = composition(converse(composition(X2,X1)),X3) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.4.2.0','0.6.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.316.1.0',plain,
% 5.46/5.88 ( composition(converse(X1),composition(converse(X2),X3)) = composition(converse(composition(X2,X1)),X3) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.316.0.0']),
% 5.46/5.88 [weight('<?,6,4,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.316.2.0',plain,
% 5.46/5.88 ( composition(converse(X1),composition(converse(X2),X3)) = composition(converse(composition(X2,X1)),X3) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.316.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_313]).
% 5.46/5.88 cnf('0.358.0.0',plain,
% 5.46/5.88 ( join(one,join(composition(converse(sk2),sk2),X1)) = join(one,X1) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.9.2.0','0.13.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.358.1.0',plain,
% 5.46/5.88 ( join(one,join(composition(converse(sk2),sk2),X1)) = join(one,X1) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.358.0.0']),
% 5.46/5.88 [weight('<107,13,9,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.358.2.0',plain,
% 5.46/5.88 ( join(one,join(composition(converse(sk2),sk2),X1)) = join(one,X1) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.358.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_353]).
% 5.46/5.88 cnf('0.367.0.0',plain,
% 5.46/5.88 ( composition(join(converse(X1),X2),converse(X3)) = join(converse(composition(X3,X1)),composition(X2,converse(X3))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.367.1.0',plain,
% 5.46/5.88 ( composition(join(converse(X1),X2),converse(X3)) = join(converse(composition(X3,X1)),composition(X2,converse(X3))) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.367.0.0']),
% 5.46/5.88 [weight('<?,6,5,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.367.2.0',plain,
% 5.46/5.88 ( join(converse(composition(X1,X2)),composition(X3,converse(X1))) = composition(join(converse(X2),X3),converse(X1)) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.367.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_362]).
% 5.46/5.88 cnf('0.1074.0.0',plain,
% 5.46/5.88 ( converse(composition(X1,meet(one,X2))) = composition(meet(one,converse(X2)),converse(X1)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.6.2.0','0.187.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.1074.1.0',plain,
% 5.46/5.88 ( converse(composition(X1,meet(one,X2))) = composition(meet(one,converse(X2)),converse(X1)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.1074.0.0']),
% 5.46/5.88 [weight('<111,187,6,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.1074.2.0',plain,
% 5.46/5.88 ( composition(meet(one,converse(X1)),converse(X2)) = converse(composition(X2,meet(one,X1))) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.1074.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_1066]).
% 5.46/5.88 cnf('0.1100.0.0',plain,
% 5.46/5.88 ( composition(join(converse(one),X1),converse(X2)) = join(converse(X2),composition(X1,converse(X2))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.367.2.0','0.1.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1.1','L')]).
% 5.46/5.88 cnf('0.1100.0.1',plain,
% 5.46/5.88 ( composition(join(one,X1),converse(X2)) = join(converse(X2),composition(X1,converse(X2))) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.1100.0.0','0.32.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1.1','L')]).
% 5.46/5.88 cnf('0.1100.1.0',plain,
% 5.46/5.88 ( composition(join(one,X1),converse(X2)) = join(converse(X2),composition(X1,converse(X2))) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.1100.0.1']),
% 5.46/5.88 [weight('<111,367,1,[1,0,0,2]>')]).
% 5.46/5.88 cnf('0.1100.2.0',plain,
% 5.46/5.88 ( join(converse(X1),composition(X2,converse(X1))) = composition(join(one,X2),converse(X1)) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.1100.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_1092]).
% 5.46/5.88 cnf('0.1101.0.0',plain,
% 5.46/5.88 ( composition(join(one,meet(one,converse(X1))),converse(X2)) = join(converse(X2),converse(composition(X2,meet(one,X1)))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.1100.2.0','0.1074.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.1101.0.1',plain,
% 5.46/5.88 ( composition(one,converse(X2)) = join(converse(X2),converse(composition(X2,meet(one,X1)))) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.1101.0.0','0.80.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.1101.0.2',plain,
% 5.46/5.88 ( converse(X2) = join(converse(X2),converse(composition(X2,meet(one,X1)))) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.1101.0.1','0.33.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('0.1101.0.3',plain,
% 5.46/5.88 ( converse(X2) = converse(join(X2,composition(X2,meet(one,X1)))) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.1101.0.2','0.14.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.1101.1.0',plain,
% 5.46/5.88 ( converse(X2) = converse(join(X2,composition(X2,meet(one,X1)))) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.1101.0.3']),
% 5.46/5.88 [weight('<98,1100,1074,[1,0,0,3]>')]).
% 5.46/5.88 cnf('0.1101.2.0',plain,
% 5.46/5.88 ( converse(join(X1,composition(X1,meet(one,X2)))) = converse(X1) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.1101.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_1093]).
% 5.46/5.88 cnf('0.1102.0.0',plain,
% 5.46/5.88 ( join(X1,composition(X1,meet(one,X2))) = converse(converse(X1)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.3.2.0','0.1101.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.1','L')]).
% 5.46/5.88 cnf('0.1102.0.1',plain,
% 5.46/5.88 ( join(X1,composition(X1,meet(one,X2))) = X1 ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.1102.0.0','0.3.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.1102.1.0',plain,
% 5.46/5.88 ( join(X1,composition(X1,meet(one,X2))) = X1 ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.1102.0.1']),
% 5.46/5.88 [weight('<71,1101,3,[0,0,0,1]>')]).
% 5.46/5.88 cnf('0.1102.2.0',plain,
% 5.46/5.88 ( join(X1,composition(X1,meet(one,X2))) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.1102.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_1094]).
% 5.46/5.88 cnf('0.1108.0.0',plain,
% 5.46/5.88 ( X1 = join(X1,composition(X1,composition(converse(sk1),sk1))) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.1102.2.0','0.128.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2.2','L')]).
% 5.46/5.88 cnf('0.1108.1.0',plain,
% 5.46/5.88 ( X1 = join(X1,composition(X1,composition(converse(sk1),sk1))) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.1108.0.0']),
% 5.46/5.88 [weight('<89,1102,128,[1,0,0,4]>')]).
% 5.46/5.88 cnf('0.1108.2.0',plain,
% 5.46/5.88 ( join(X1,composition(X1,composition(converse(sk1),sk1))) = X1 ),
% 5.46/5.88 inference(orient,[status(thm)],['0.1108.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_1100]).
% 5.46/5.88 cnf('0.2001.0.0',plain,
% 5.46/5.88 ( join(one,composition(X1,sk2)) = join(one,composition(join(converse(sk2),X1),sk2)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.358.2.0','0.5.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.2001.1.0',plain,
% 5.46/5.88 ( join(one,composition(X1,sk2)) = join(one,composition(join(converse(sk2),X1),sk2)) ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.2001.0.0']),
% 5.46/5.88 [weight('<125,358,5,[1,0,0,2]>')]).
% 5.46/5.88 cnf('0.2001.2.0',plain,
% 5.46/5.88 ( join(one,composition(join(converse(sk2),X1),sk2)) = join(one,composition(X1,sk2)) ),
% 5.46/5.88 inference(orient,[status(thm)],['0.2001.1.0',theory(equality)]),
% 5.46/5.88 [x,rule_1979]).
% 5.46/5.88 cnf('0.4089.0.0',plain,
% 5.46/5.88 ( join(one,composition(composition(converse(sk2),composition(converse(sk1),sk1)),sk2)) = join(one,composition(converse(sk2),sk2)) ),
% 5.46/5.88 inference(cp,[status(thm)],['0.2001.2.0','0.1108.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2.1','L')]).
% 5.46/5.88 cnf('0.4089.0.1',plain,
% 5.46/5.88 ( join(one,composition(converse(sk2),composition(composition(converse(sk1),sk1),sk2))) = join(one,composition(converse(sk2),sk2)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.4089.0.0','0.4.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.4089.0.2',plain,
% 5.46/5.88 ( join(one,composition(converse(sk2),composition(converse(sk1),composition(sk1,sk2)))) = join(one,composition(converse(sk2),sk2)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.4089.0.1','0.4.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2.2','L')]).
% 5.46/5.88 cnf('0.4089.0.3',plain,
% 5.46/5.88 ( join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))) = join(one,composition(converse(sk2),sk2)) ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.4089.0.2','0.316.2.0',theory(equality)]),
% 5.46/5.88 [pos('L.2','L')]).
% 5.46/5.88 cnf('0.4089.0.4',plain,
% 5.46/5.88 ( join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))) = one ),
% 5.46/5.88 inference(reduction,[status(thm)],['0.4089.0.3','0.13.2.0',theory(equality)]),
% 5.46/5.88 [pos('R','L')]).
% 5.46/5.88 cnf('0.4089.1.0',plain,
% 5.46/5.88 ( join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))) = one ),
% 5.46/5.88 inference(weigh,[status(thm)],['0.4089.0.4']),
% 5.46/5.88 [weight('<131,2001,1108,[1,0,0,3]>')]).
% 5.46/5.88 cnf('0.4089.2.0',plain,
% 5.46/5.88 ( join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))) = one ),
% 5.46/5.88 inference(orient,[status(thm)],['0.4089.1.0',theory(equality)]),
% 5.46/5.88 [u,rule_4067]).
% 5.46/5.88 cnf('1.0.0.0',conjecture,
% 5.46/5.88 ( join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) = one ),
% 5.46/5.88 file('/tmp/WALDMEISTER_7619_n027',conjecture_1)).
% 5.46/5.88 cnf('1.0.0.1',plain,
% 5.46/5.88 ( join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))) = one ),
% 5.46/5.88 inference(reduction,[status(thm)],['1.0.0.0','0.8.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('1.0.0.2',plain,
% 5.46/5.88 ( one = one ),
% 5.46/5.88 inference(reduction,[status(thm)],['1.0.0.1','0.4089.2.0',theory(equality)]),
% 5.46/5.88 [pos('L','L')]).
% 5.46/5.88 cnf('1.0.0.3',plain,
% 5.46/5.88 ( $true ),
% 5.46/5.88 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 5.46/5.88 [conjecture_1]).
% 5.46/5.88
% 5.46/5.88 Proved Goals:
% 5.46/5.88 No. 1: join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) ?= one joined, current: one = one
% 5.46/5.88 1 goal was specified, which was proved.
% 5.46/5.88 % SZS output end CNFRefutation
% 5.46/5.88 #END OF PROOF
% 5.46/5.88
% 5.46/5.88 Problem WALDMEISTER_7619_n027
% 5.46/5.88 CPs.gen 2029850
% 5.46/5.88 CPs.reexp 0
% 5.46/5.88 Select 91993
% 5.46/5.88 R 4067
% 5.46/5.88 E 22
% 5.46/5.88 vsize 11.3M
% 5.46/5.88 rss 6.6M
% 5.46/5.88 process.time 4.908s
% 5.46/5.88 wallclock.time 4.907s
% 5.46/5.88 status S
% 5.46/5.88
% 5.46/5.88
% 5.46/5.88 Waldmeister states: Goal proved.
% 5.46/5.88 % SZS status Unsatisfiable
%------------------------------------------------------------------------------