TSTP Solution File: REL042-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL042-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n017.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 20:10:33 EDT 2022
% Result : Unsatisfiable 1.16s 1.57s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : REL042-1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : woody %s
% 0.12/0.33 % Computer : n017.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 09:32:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.98 * |/ | \/ | *
% 0.58/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.98 * A. Jaeger and B. Loechner | | *
% 0.58/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.98
% 0.58/0.98 Goals:
% 0.58/0.98 ------
% 0.58/0.98
% 0.58/0.98 ( 1) join(composition(converse(sk1),sk1),one) ?=? one
% 0.58/0.98
% 0.58/0.98 Detected structure: Orkus
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 1.16/1.57 joined goal: 1 join(composition(converse(sk1),sk1),one) ?= one to one
% 1.16/1.57 goal joined
% 1.16/1.57 % SZS status Unsatisfiable
% 1.16/1.57 #START OF PROOF
% 1.16/1.57 % SZS output start CNFRefutation
% 1.16/1.57 cnf('0.1.0.0',axiom,
% 1.16/1.57 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 1.16/1.57 file('/tmp/WALDMEISTER_26521_n017')).
% 1.16/1.57 cnf('0.1.1.0',plain,
% 1.16/1.57 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.16/1.57 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.16/1.57 cnf('0.1.2.0',plain,
% 1.16/1.57 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 1.16/1.57 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_1]).
% 1.16/1.57 cnf('0.2.0.0',axiom,
% 1.16/1.57 ( X1 = composition(X1,one) ),
% 1.16/1.57 file('/tmp/WALDMEISTER_26521_n017')).
% 1.16/1.57 cnf('0.2.1.0',plain,
% 1.16/1.57 ( X1 = composition(X1,one) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.2.0.0']),
% 1.16/1.57 [weight('<1,0,0,[0,0,0,2]>')]).
% 1.16/1.57 cnf('0.2.2.0',plain,
% 1.16/1.57 ( composition(X1,one) = X1 ),
% 1.16/1.57 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_2]).
% 1.16/1.57 cnf('0.3.0.0',axiom,
% 1.16/1.57 ( X1 = converse(converse(X1)) ),
% 1.16/1.57 file('/tmp/WALDMEISTER_26521_n017')).
% 1.16/1.57 cnf('0.3.1.0',plain,
% 1.16/1.57 ( X1 = converse(converse(X1)) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.16/1.57 [weight('<2,0,0,[0,0,0,3]>')]).
% 1.16/1.57 cnf('0.3.2.0',plain,
% 1.16/1.57 ( converse(converse(X1)) = X1 ),
% 1.16/1.57 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_3]).
% 1.16/1.57 cnf('0.4.0.0',axiom,
% 1.16/1.57 ( join(X1,X2) = join(X2,X1) ),
% 1.16/1.57 file('/tmp/WALDMEISTER_26521_n017')).
% 1.16/1.57 cnf('0.4.1.0',plain,
% 1.16/1.57 ( join(X1,X2) = join(X2,X1) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.4.0.0']),
% 1.16/1.57 [weight('<3,0,0,[0,0,0,4]>')]).
% 1.16/1.57 cnf('0.4.2.0',plain,
% 1.16/1.57 ( join(X1,X2) = join(X2,X1) ),
% 1.16/1.57 inference(activate,[status(thm)],['0.4.1.0']),
% 1.16/1.57 [equation_1]).
% 1.16/1.57 cnf('0.5.0.0',axiom,
% 1.16/1.57 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 1.16/1.57 file('/tmp/WALDMEISTER_26521_n017')).
% 1.16/1.57 cnf('0.5.1.0',plain,
% 1.16/1.57 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.5.0.0']),
% 1.16/1.57 [weight('<4,0,0,[0,0,0,5]>')]).
% 1.16/1.57 cnf('0.5.2.0',plain,
% 1.16/1.57 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_4]).
% 1.16/1.57 cnf('0.6.0.0',axiom,
% 1.16/1.57 ( join(X1,complement(X1)) = top ),
% 1.16/1.57 file('/tmp/WALDMEISTER_26521_n017')).
% 1.16/1.57 cnf('0.6.1.0',plain,
% 1.16/1.57 ( join(X1,complement(X1)) = top ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.6.0.0']),
% 1.16/1.57 [weight('<5,0,0,[0,0,0,6]>')]).
% 1.16/1.57 cnf('0.6.2.0',plain,
% 1.16/1.57 ( join(X1,complement(X1)) = top ),
% 1.16/1.57 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_5]).
% 1.16/1.57 cnf('0.7.0.0',axiom,
% 1.16/1.57 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 1.16/1.57 file('/tmp/WALDMEISTER_26521_n017')).
% 1.16/1.57 cnf('0.7.1.0',plain,
% 1.16/1.57 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.7.0.0']),
% 1.16/1.57 [weight('<6,0,0,[0,0,0,7]>')]).
% 1.16/1.57 cnf('0.7.2.0',plain,
% 1.16/1.57 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_6]).
% 1.16/1.57 cnf('0.8.0.0',axiom,
% 1.16/1.57 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 1.16/1.57 file('/tmp/WALDMEISTER_26521_n017')).
% 1.16/1.57 cnf('0.8.1.0',plain,
% 1.16/1.57 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.8.0.0']),
% 1.16/1.57 [weight('<7,0,0,[0,0,0,8]>')]).
% 1.16/1.57 cnf('0.8.1.1',plain,
% 1.16/1.57 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.8.1.0','0.4.2.0',theory(equality)]),
% 1.16/1.57 [pos('L','L')]).
% 1.16/1.57 cnf('0.8.2.0',plain,
% 1.16/1.57 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.8.1.1',theory(equality)]),
% 1.16/1.57 [u,rule_7]).
% 1.16/1.57 cnf('0.9.0.0',axiom,
% 1.16/1.57 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 1.16/1.57 file('/tmp/WALDMEISTER_26521_n017')).
% 1.16/1.57 cnf('0.9.1.0',plain,
% 1.16/1.57 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.9.0.0']),
% 1.16/1.57 [weight('<8,0,0,[0,0,0,9]>')]).
% 1.16/1.57 cnf('0.9.2.0',plain,
% 1.16/1.57 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_8]).
% 1.16/1.57 cnf('0.10.0.0',axiom,
% 1.16/1.57 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 1.16/1.57 file('/tmp/WALDMEISTER_26521_n017')).
% 1.16/1.57 cnf('0.10.1.0',plain,
% 1.16/1.57 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.10.0.0']),
% 1.16/1.57 [weight('<9,0,0,[0,0,0,10]>')]).
% 1.16/1.57 cnf('0.10.2.0',plain,
% 1.16/1.57 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_9]).
% 1.16/1.57 cnf('0.11.0.0',axiom,
% 1.16/1.57 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 1.16/1.57 file('/tmp/WALDMEISTER_26521_n017')).
% 1.16/1.57 cnf('0.11.1.0',plain,
% 1.16/1.57 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.11.0.0']),
% 1.16/1.57 [weight('<10,0,0,[0,0,0,11]>')]).
% 1.16/1.57 cnf('0.11.2.0',plain,
% 1.16/1.57 ( composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_10]).
% 1.16/1.57 cnf('0.12.0.0',axiom,
% 1.16/1.57 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 1.16/1.57 file('/tmp/WALDMEISTER_26521_n017')).
% 1.16/1.57 cnf('0.12.1.0',plain,
% 1.16/1.57 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.12.0.0']),
% 1.16/1.57 [weight('<11,0,0,[0,0,0,12]>')]).
% 1.16/1.57 cnf('0.12.2.0',plain,
% 1.16/1.57 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_11]).
% 1.16/1.57 cnf('0.13.0.0',axiom,
% 1.16/1.57 ( meet(X1,complement(X1)) = zero ),
% 1.16/1.57 file('/tmp/WALDMEISTER_26521_n017')).
% 1.16/1.57 cnf('0.13.1.0',plain,
% 1.16/1.57 ( meet(X1,complement(X1)) = zero ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.13.0.0']),
% 1.16/1.57 [weight('<12,0,0,[0,0,0,13]>')]).
% 1.16/1.57 cnf('0.13.2.0',plain,
% 1.16/1.57 ( meet(X1,complement(X1)) = zero ),
% 1.16/1.57 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_12]).
% 1.16/1.57 cnf('0.14.0.0',axiom,
% 1.16/1.57 ( meet(composition(sk1,X1),composition(sk1,complement(X1))) = zero ),
% 1.16/1.57 file('/tmp/WALDMEISTER_26521_n017')).
% 1.16/1.57 cnf('0.14.1.0',plain,
% 1.16/1.57 ( meet(composition(sk1,X1),composition(sk1,complement(X1))) = zero ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.14.0.0']),
% 1.16/1.57 [weight('<13,0,0,[0,0,0,14]>')]).
% 1.16/1.57 cnf('0.14.2.0',plain,
% 1.16/1.57 ( meet(composition(sk1,X1),composition(sk1,complement(X1))) = zero ),
% 1.16/1.57 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_13]).
% 1.16/1.57 cnf('0.15.0.0',plain,
% 1.16/1.57 ( meet(X1,complement(X1)) = complement(top) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.1','L')]).
% 1.16/1.57 cnf('0.15.1.0',plain,
% 1.16/1.57 ( meet(X1,complement(X1)) = complement(top) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.15.0.0']),
% 1.16/1.57 [weight('<34,10,6,[1,0,0,1]>')]).
% 1.16/1.57 cnf('0.15.1.1',plain,
% 1.16/1.57 ( zero = complement(top) ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.15.1.0','0.13.2.0',theory(equality)]),
% 1.16/1.57 [pos('L','L')]).
% 1.16/1.57 cnf('0.15.2.0',plain,
% 1.16/1.57 ( complement(top) = zero ),
% 1.16/1.57 inference(orient,[status(thm)],['0.15.1.1',theory(equality)]),
% 1.16/1.57 [x,rule_14]).
% 1.16/1.57 cnf('0.18.0.0',plain,
% 1.16/1.57 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.10.2.0','0.4.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.1','L')]).
% 1.16/1.57 cnf('0.18.0.1',plain,
% 1.16/1.57 ( meet(X1,X2) = meet(X2,X1) ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.18.0.0','0.10.2.0',theory(equality)]),
% 1.16/1.57 [pos('R','L')]).
% 1.16/1.57 cnf('0.18.1.0',plain,
% 1.16/1.57 ( meet(X1,X2) = meet(X2,X1) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.18.0.1']),
% 1.16/1.57 [weight('<48,10,4,[1,0,0,1]>')]).
% 1.16/1.57 cnf('0.18.2.0',plain,
% 1.16/1.57 ( meet(X1,X2) = meet(X2,X1) ),
% 1.16/1.57 inference(activate,[status(thm)],['0.18.1.0']),
% 1.16/1.57 [equation_2]).
% 1.16/1.57 cnf('0.20.0.0',plain,
% 1.16/1.57 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.10.2.0','0.15.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.1.1','L')]).
% 1.16/1.57 cnf('0.20.1.0',plain,
% 1.16/1.57 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.20.0.0']),
% 1.16/1.57 [weight('<53,15,10,[0,0,0,2]>')]).
% 1.16/1.57 cnf('0.20.2.0',plain,
% 1.16/1.57 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_18]).
% 1.16/1.57 cnf('0.25.0.0',plain,
% 1.16/1.57 ( zero = meet(sk1,composition(sk1,complement(one))) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.14.2.0','0.2.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.1','L')]).
% 1.16/1.57 cnf('0.25.1.0',plain,
% 1.16/1.57 ( zero = meet(sk1,composition(sk1,complement(one))) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.25.0.0']),
% 1.16/1.57 [weight('<55,14,2,[1,0,0,1]>')]).
% 1.16/1.57 cnf('0.25.2.0',plain,
% 1.16/1.57 ( meet(sk1,composition(sk1,complement(one))) = zero ),
% 1.16/1.57 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_23]).
% 1.16/1.57 cnf('0.26.0.0',plain,
% 1.16/1.57 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.1','L')]).
% 1.16/1.57 cnf('0.26.1.0',plain,
% 1.16/1.57 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.26.0.0']),
% 1.16/1.57 [weight('<59,9,3,[1,0,0,1]>')]).
% 1.16/1.57 cnf('0.26.2.0',plain,
% 1.16/1.57 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_24]).
% 1.16/1.57 cnf('0.29.0.0',plain,
% 1.16/1.57 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.2','L')]).
% 1.16/1.57 cnf('0.29.1.0',plain,
% 1.16/1.57 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.29.0.0']),
% 1.16/1.57 [weight('<59,12,3,[1,0,0,3]>')]).
% 1.16/1.57 cnf('0.29.2.0',plain,
% 1.16/1.57 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_27]).
% 1.16/1.57 cnf('0.30.0.0',plain,
% 1.16/1.57 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.29.2.0','0.2.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.1','L')]).
% 1.16/1.57 cnf('0.30.0.1',plain,
% 1.16/1.57 ( composition(converse(one),X1) = X1 ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.30.0.0','0.3.2.0',theory(equality)]),
% 1.16/1.57 [pos('R','L')]).
% 1.16/1.57 cnf('0.30.1.0',plain,
% 1.16/1.57 ( composition(converse(one),X1) = X1 ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.30.0.1']),
% 1.16/1.57 [weight('<29,29,2,[1,0,0,1]>')]).
% 1.16/1.57 cnf('0.30.2.0',plain,
% 1.16/1.57 ( composition(converse(one),X1) = X1 ),
% 1.16/1.57 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_28]).
% 1.16/1.57 cnf('0.31.0.0',plain,
% 1.16/1.57 ( one = converse(one) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.30.2.0','0.2.2.0',theory(equality)]),
% 1.16/1.57 [pos('L','L')]).
% 1.16/1.57 cnf('0.31.1.0',plain,
% 1.16/1.57 ( one = converse(one) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.31.0.0']),
% 1.16/1.57 [weight('<11,30,2,[1,0,0,0]>')]).
% 1.16/1.57 cnf('0.31.2.0',plain,
% 1.16/1.57 ( converse(one) = one ),
% 1.16/1.57 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_29]).
% 1.16/1.57 cnf('0.32.0.0',plain,
% 1.16/1.57 ( composition(converse(one),X1) = X1 ),
% 1.16/1.57 inference(interreduction_right,[status(thm)],['0.30.2.0'])).
% 1.16/1.57 cnf('0.32.0.1',plain,
% 1.16/1.57 ( composition(one,X1) = X1 ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.32.0.0','0.31.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.1','L')]).
% 1.16/1.57 cnf('0.32.1.0',plain,
% 1.16/1.57 ( composition(one,X1) = X1 ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.32.0.1']),
% 1.16/1.57 [weight('<19,30,31,[0,0,0,0]>')]).
% 1.16/1.57 cnf('0.32.2.0',plain,
% 1.16/1.57 ( composition(one,X1) = X1 ),
% 1.16/1.57 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_30]).
% 1.16/1.57 cnf('0.33.0.0',plain,
% 1.16/1.57 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.9.2.0','0.31.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.1','L')]).
% 1.16/1.57 cnf('0.33.1.0',plain,
% 1.16/1.57 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.33.0.0']),
% 1.16/1.57 [weight('<44,31,9,[0,0,0,1]>')]).
% 1.16/1.57 cnf('0.33.2.0',plain,
% 1.16/1.57 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_31]).
% 1.16/1.57 cnf('0.35.0.0',plain,
% 1.16/1.57 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.8.2.0','0.32.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.2.2.1','L')]).
% 1.16/1.57 cnf('0.35.0.1',plain,
% 1.16/1.57 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.35.0.0','0.31.2.0',theory(equality)]),
% 1.16/1.57 [pos('R.2.1','L')]).
% 1.16/1.57 cnf('0.35.0.2',plain,
% 1.16/1.57 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.35.0.1','0.32.2.0',theory(equality)]),
% 1.16/1.57 [pos('R.2','L')]).
% 1.16/1.57 cnf('0.35.1.0',plain,
% 1.16/1.57 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.35.0.2']),
% 1.16/1.57 [weight('<47,32,8,[0,0,0,7]>')]).
% 1.16/1.57 cnf('0.35.2.0',plain,
% 1.16/1.57 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_33]).
% 1.16/1.57 cnf('0.36.0.0',plain,
% 1.16/1.57 ( complement(top) = join(zero,complement(top)) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.35.2.0','0.15.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.1','L')]).
% 1.16/1.57 cnf('0.36.0.1',plain,
% 1.16/1.57 ( zero = join(zero,complement(top)) ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.36.0.0','0.15.2.0',theory(equality)]),
% 1.16/1.57 [pos('L','L')]).
% 1.16/1.57 cnf('0.36.0.2',plain,
% 1.16/1.57 ( zero = join(zero,zero) ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.36.0.1','0.15.2.0',theory(equality)]),
% 1.16/1.57 [pos('R.2','L')]).
% 1.16/1.57 cnf('0.36.1.0',plain,
% 1.16/1.57 ( zero = join(zero,zero) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.36.0.2']),
% 1.16/1.57 [weight('<19,35,15,[1,0,0,1]>')]).
% 1.16/1.57 cnf('0.36.2.0',plain,
% 1.16/1.57 ( join(zero,zero) = zero ),
% 1.16/1.57 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_34]).
% 1.16/1.57 cnf('0.39.0.0',plain,
% 1.16/1.57 ( meet(X1,X1) = complement(complement(X1)) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.10.2.0','0.35.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.1','L')]).
% 1.16/1.57 cnf('0.39.1.0',plain,
% 1.16/1.57 ( meet(X1,X1) = complement(complement(X1)) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.39.0.0']),
% 1.16/1.57 [weight('<48,35,10,[0,0,0,1]>')]).
% 1.16/1.57 cnf('0.39.2.0',plain,
% 1.16/1.57 ( meet(X1,X1) = complement(complement(X1)) ),
% 1.16/1.57 inference(activate,[status(thm)],['0.39.1.0']),
% 1.16/1.57 [equation_3]).
% 1.16/1.57 cnf('0.40.0.0',plain,
% 1.16/1.57 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.5.2.0','0.36.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.1','L')]).
% 1.16/1.57 cnf('0.40.1.0',plain,
% 1.16/1.57 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.40.0.0']),
% 1.16/1.57 [weight('<53,36,5,[0,0,0,1]>')]).
% 1.16/1.57 cnf('0.40.2.0',plain,
% 1.16/1.57 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_37]).
% 1.16/1.57 cnf('0.41.0.0',plain,
% 1.16/1.57 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.40.2.0','0.4.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.2','L')]).
% 1.16/1.57 cnf('0.41.1.0',plain,
% 1.16/1.57 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.41.0.0']),
% 1.16/1.57 [weight('<53,40,4,[1,0,0,2]>')]).
% 1.16/1.57 cnf('0.41.2.0',plain,
% 1.16/1.57 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_38]).
% 1.16/1.57 cnf('0.44.0.0',plain,
% 1.16/1.57 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.26.2.0','0.6.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.1','L')]).
% 1.16/1.57 cnf('0.44.1.0',plain,
% 1.16/1.57 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.44.0.0']),
% 1.16/1.57 [weight('<62,26,6,[1,0,0,1]>')]).
% 1.16/1.57 cnf('0.44.2.0',plain,
% 1.16/1.57 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_41]).
% 1.16/1.57 cnf('0.47.0.0',plain,
% 1.16/1.57 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.7.2.0','0.32.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.1','L')]).
% 1.16/1.57 cnf('0.47.1.0',plain,
% 1.16/1.57 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.47.0.0']),
% 1.16/1.57 [weight('<65,32,7,[0,0,0,1]>')]).
% 1.16/1.57 cnf('0.47.2.0',plain,
% 1.16/1.57 ( join(X1,composition(X2,X1)) = composition(join(one,X2),X1) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_44]).
% 1.16/1.57 cnf('0.48.0.0',plain,
% 1.16/1.57 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.1','L')]).
% 1.16/1.57 cnf('0.48.1.0',plain,
% 1.16/1.57 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.48.0.0']),
% 1.16/1.57 [weight('<69,6,5,[0,0,0,1]>')]).
% 1.16/1.57 cnf('0.48.2.0',plain,
% 1.16/1.57 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 1.16/1.57 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_45]).
% 1.16/1.57 cnf('0.49.0.0',plain,
% 1.16/1.57 ( join(top,complement(X1)) = join(X1,complement(X1)) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.48.2.0','0.35.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.2','L')]).
% 1.16/1.57 cnf('0.49.0.1',plain,
% 1.16/1.57 ( join(top,complement(X1)) = top ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.49.0.0','0.6.2.0',theory(equality)]),
% 1.16/1.57 [pos('R','L')]).
% 1.16/1.57 cnf('0.49.1.0',plain,
% 1.16/1.57 ( join(top,complement(X1)) = top ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.49.0.1']),
% 1.16/1.57 [weight('<29,48,35,[1,0,0,2]>')]).
% 1.16/1.57 cnf('0.49.2.0',plain,
% 1.16/1.57 ( join(top,complement(X1)) = top ),
% 1.16/1.57 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_46]).
% 1.16/1.57 cnf('0.52.0.0',plain,
% 1.16/1.57 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.48.2.0','0.6.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.2','L')]).
% 1.16/1.57 cnf('0.52.1.0',plain,
% 1.16/1.57 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.52.0.0']),
% 1.16/1.57 [weight('<53,48,6,[1,0,0,2]>')]).
% 1.16/1.57 cnf('0.52.1.1',plain,
% 1.16/1.57 ( top = join(X1,top) ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.52.1.0','0.49.2.0',theory(equality)]),
% 1.16/1.57 [pos('L','L')]).
% 1.16/1.57 cnf('0.52.2.0',plain,
% 1.16/1.57 ( join(X1,top) = top ),
% 1.16/1.57 inference(orient,[status(thm)],['0.52.1.1',theory(equality)]),
% 1.16/1.57 [x,rule_49]).
% 1.16/1.57 cnf('0.53.0.0',plain,
% 1.16/1.57 ( top = join(top,X1) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.52.2.0','0.4.2.0',theory(equality)]),
% 1.16/1.57 [pos('L','L')]).
% 1.16/1.57 cnf('0.53.1.0',plain,
% 1.16/1.57 ( top = join(top,X1) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.53.0.0']),
% 1.16/1.57 [weight('<19,52,4,[1,0,0,0]>')]).
% 1.16/1.57 cnf('0.53.2.0',plain,
% 1.16/1.57 ( join(top,X1) = top ),
% 1.16/1.57 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_50]).
% 1.16/1.57 cnf('0.54.0.0',plain,
% 1.16/1.57 ( top = converse(top) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.53.2.0','0.44.2.0',theory(equality)]),
% 1.16/1.57 [pos('L','L')]).
% 1.16/1.57 cnf('0.54.1.0',plain,
% 1.16/1.57 ( top = converse(top) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.54.0.0']),
% 1.16/1.57 [weight('<11,53,44,[1,0,0,0]>')]).
% 1.16/1.57 cnf('0.54.2.0',plain,
% 1.16/1.57 ( converse(top) = top ),
% 1.16/1.57 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_51]).
% 1.16/1.57 cnf('0.59.0.0',plain,
% 1.16/1.57 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 1.16/1.57 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 1.16/1.57 cnf('0.59.1.0',plain,
% 1.16/1.57 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.59.0.0']),
% 1.16/1.57 [weight('<?,1,4,[0,0,0,0]>')]).
% 1.16/1.57 cnf('0.59.1.1',plain,
% 1.16/1.57 ( join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1 ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.59.1.0','0.4.2.0',theory(equality)]),
% 1.16/1.57 [pos('L','L')]).
% 1.16/1.57 cnf('0.59.1.2',plain,
% 1.16/1.57 ( join(complement(join(complement(X1),X2)),meet(X1,X2)) = X1 ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.59.1.1','0.10.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.2','L')]).
% 1.16/1.57 cnf('0.59.1.3',plain,
% 1.16/1.57 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.59.1.2','0.4.2.0',theory(equality)]),
% 1.16/1.57 [pos('L','L')]).
% 1.16/1.57 cnf('0.59.2.0',plain,
% 1.16/1.57 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 1.16/1.57 inference(orient,[status(thm)],['0.59.1.3',theory(equality)]),
% 1.16/1.57 [u,rule_56]).
% 1.16/1.57 cnf('0.63.0.0',plain,
% 1.16/1.57 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.59.2.0','0.13.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.1','L')]).
% 1.16/1.57 cnf('0.63.0.1',plain,
% 1.16/1.57 ( X1 = join(zero,meet(X1,X1)) ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.63.0.0','0.10.2.0',theory(equality)]),
% 1.16/1.57 [pos('R.2','L')]).
% 1.16/1.57 cnf('0.63.1.0',plain,
% 1.16/1.57 ( X1 = join(zero,meet(X1,X1)) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.63.0.1']),
% 1.16/1.57 [weight('<41,59,13,[1,0,0,1]>')]).
% 1.16/1.57 cnf('0.63.2.0',plain,
% 1.16/1.57 ( join(zero,meet(X1,X1)) = X1 ),
% 1.16/1.57 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_60]).
% 1.16/1.57 cnf('0.64.0.0',plain,
% 1.16/1.57 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.40.2.0','0.63.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.2','L')]).
% 1.16/1.57 cnf('0.64.0.1',plain,
% 1.16/1.57 ( X1 = join(zero,X1) ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.64.0.0','0.63.2.0',theory(equality)]),
% 1.16/1.57 [pos('L','L')]).
% 1.16/1.57 cnf('0.64.1.0',plain,
% 1.16/1.57 ( X1 = join(zero,X1) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.64.0.1']),
% 1.16/1.57 [weight('<19,63,40,[0,0,0,2]>')]).
% 1.16/1.57 cnf('0.64.2.0',plain,
% 1.16/1.57 ( join(zero,X1) = X1 ),
% 1.16/1.57 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_61]).
% 1.16/1.57 cnf('0.67.0.0',plain,
% 1.16/1.57 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 1.16/1.57 inference(interreduction_right,[status(thm)],['0.41.2.0'])).
% 1.16/1.57 cnf('0.67.0.1',plain,
% 1.16/1.57 ( join(X1,zero) = join(zero,X1) ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.67.0.0','0.64.2.0',theory(equality)]),
% 1.16/1.57 [pos('L','L')]).
% 1.16/1.57 cnf('0.67.0.2',plain,
% 1.16/1.57 ( join(X1,zero) = X1 ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.67.0.1','0.64.2.0',theory(equality)]),
% 1.16/1.57 [pos('R','L')]).
% 1.16/1.57 cnf('0.67.1.0',plain,
% 1.16/1.57 ( join(X1,zero) = X1 ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.67.0.2']),
% 1.16/1.57 [weight('<19,41,64,[0,0,0,0]>')]).
% 1.16/1.57 cnf('0.67.2.0',plain,
% 1.16/1.57 ( join(X1,zero) = X1 ),
% 1.16/1.57 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_64]).
% 1.16/1.57 cnf('0.68.0.0',plain,
% 1.16/1.57 ( join(zero,meet(X1,X1)) = X1 ),
% 1.16/1.57 inference(interreduction_right,[status(thm)],['0.63.2.0'])).
% 1.16/1.57 cnf('0.68.0.1',plain,
% 1.16/1.57 ( meet(X1,X1) = X1 ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.68.0.0','0.64.2.0',theory(equality)]),
% 1.16/1.57 [pos('L','L')]).
% 1.16/1.57 cnf('0.68.1.0',plain,
% 1.16/1.57 ( meet(X1,X1) = X1 ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.68.0.1']),
% 1.16/1.57 [weight('<19,63,64,[0,0,0,0]>')]).
% 1.16/1.57 cnf('0.68.2.0',plain,
% 1.16/1.57 ( meet(X1,X1) = X1 ),
% 1.16/1.57 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 1.16/1.57 [u,rule_65]).
% 1.16/1.57 cnf('0.69.0.0',plain,
% 1.16/1.57 ( meet(X1,X1) = complement(complement(X1)) ),
% 1.16/1.57 inference(interreduction_right,[status(thm)],['0.39.2.0'])).
% 1.16/1.57 cnf('0.69.0.1',plain,
% 1.16/1.57 ( X1 = complement(complement(X1)) ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.69.0.0','0.68.2.0',theory(equality)]),
% 1.16/1.57 [pos('L','L')]).
% 1.16/1.57 cnf('0.69.1.0',plain,
% 1.16/1.57 ( X1 = complement(complement(X1)) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.69.0.1']),
% 1.16/1.57 [weight('<19,39,68,[0,0,0,0]>')]).
% 1.16/1.57 cnf('0.69.2.0',plain,
% 1.16/1.57 ( complement(complement(X1)) = X1 ),
% 1.16/1.57 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_66]).
% 1.16/1.57 cnf('0.73.0.0',plain,
% 1.16/1.57 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 1.16/1.57 inference(cp,[status(thm)],['0.35.2.0','0.69.2.0',theory(equality)]),
% 1.16/1.57 [pos('L.1','L')]).
% 1.16/1.57 cnf('0.73.0.1',plain,
% 1.16/1.57 ( X1 = join(X1,complement(complement(X1))) ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.73.0.0','0.69.2.0',theory(equality)]),
% 1.16/1.57 [pos('L','L')]).
% 1.16/1.57 cnf('0.73.0.2',plain,
% 1.16/1.57 ( X1 = join(X1,X1) ),
% 1.16/1.57 inference(reduction,[status(thm)],['0.73.0.1','0.69.2.0',theory(equality)]),
% 1.16/1.57 [pos('R.2','L')]).
% 1.16/1.57 cnf('0.73.1.0',plain,
% 1.16/1.57 ( X1 = join(X1,X1) ),
% 1.16/1.57 inference(weigh,[status(thm)],['0.73.0.2']),
% 1.16/1.57 [weight('<19,69,35,[0,0,0,1]>')]).
% 1.16/1.57 cnf('0.73.2.0',plain,
% 1.16/1.57 ( join(X1,X1) = X1 ),
% 1.16/1.57 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 1.16/1.57 [x,rule_70]).
% 1.16/1.57 cnf('0.74.0.0',plain,
% 1.16/1.57 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 1.16/1.58 inference(interreduction_right,[status(thm)],['0.20.2.0'])).
% 1.16/1.58 cnf('0.74.0.1',plain,
% 1.16/1.58 ( complement(complement(X1)) = meet(top,X1) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.74.0.0','0.64.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.74.1.0',plain,
% 1.16/1.58 ( complement(complement(X1)) = meet(top,X1) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.74.0.1']),
% 1.16/1.58 [weight('<27,20,64,[0,0,0,0]>')]).
% 1.16/1.58 cnf('0.74.1.1',plain,
% 1.16/1.58 ( X1 = meet(top,X1) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.74.1.0','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('0.74.2.0',plain,
% 1.16/1.58 ( meet(top,X1) = X1 ),
% 1.16/1.58 inference(orient,[status(thm)],['0.74.1.1',theory(equality)]),
% 1.16/1.58 [x,rule_71]).
% 1.16/1.58 cnf('0.75.0.0',plain,
% 1.16/1.58 ( X1 = meet(X1,top) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.74.2.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('0.75.1.0',plain,
% 1.16/1.58 ( X1 = meet(X1,top) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.75.0.0']),
% 1.16/1.58 [weight('<19,74,18,[1,0,0,0]>')]).
% 1.16/1.58 cnf('0.75.2.0',plain,
% 1.16/1.58 ( meet(X1,top) = X1 ),
% 1.16/1.58 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_72]).
% 1.16/1.58 cnf('0.83.0.0',plain,
% 1.16/1.58 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.5.2.0','0.73.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.83.1.0',plain,
% 1.16/1.58 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.83.0.0']),
% 1.16/1.58 [weight('<53,73,5,[0,0,0,1]>')]).
% 1.16/1.58 cnf('0.83.2.0',plain,
% 1.16/1.58 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 1.16/1.58 [u,rule_80]).
% 1.16/1.58 cnf('0.84.0.0',plain,
% 1.16/1.58 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.83.2.0','0.59.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.84.0.1',plain,
% 1.16/1.58 ( X1 = join(meet(X1,X2),X1) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.84.0.0','0.59.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('0.84.1.0',plain,
% 1.16/1.58 ( X1 = join(meet(X1,X2),X1) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.84.0.1']),
% 1.16/1.58 [weight('<41,83,59,[1,0,0,2]>')]).
% 1.16/1.58 cnf('0.84.1.1',plain,
% 1.16/1.58 ( X1 = join(X1,meet(X1,X2)) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.84.1.0','0.4.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.84.2.0',plain,
% 1.16/1.58 ( join(X1,meet(X1,X2)) = X1 ),
% 1.16/1.58 inference(orient,[status(thm)],['0.84.1.1',theory(equality)]),
% 1.16/1.58 [x,rule_81]).
% 1.16/1.58 cnf('0.85.0.0',plain,
% 1.16/1.58 ( X1 = join(X1,meet(X2,X1)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.84.2.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.85.1.0',plain,
% 1.16/1.58 ( X1 = join(X1,meet(X2,X1)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.85.0.0']),
% 1.16/1.58 [weight('<41,84,18,[1,0,0,2]>')]).
% 1.16/1.58 cnf('0.85.2.0',plain,
% 1.16/1.58 ( join(X1,meet(X2,X1)) = X1 ),
% 1.16/1.58 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_82]).
% 1.16/1.58 cnf('0.86.0.0',plain,
% 1.16/1.58 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.83.2.0','0.4.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.86.1.0',plain,
% 1.16/1.58 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.86.0.0']),
% 1.16/1.58 [weight('<53,83,4,[1,0,0,2]>')]).
% 1.16/1.58 cnf('0.86.2.0',plain,
% 1.16/1.58 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_83]).
% 1.16/1.58 cnf('0.87.0.0',plain,
% 1.16/1.58 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 1.16/1.58 inference(interreduction_right,[status(thm)],['0.44.2.0'])).
% 1.16/1.58 cnf('0.87.0.1',plain,
% 1.16/1.58 ( join(X1,converse(complement(converse(X1)))) = top ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.87.0.0','0.54.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.87.1.0',plain,
% 1.16/1.58 ( join(X1,converse(complement(converse(X1)))) = top ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.87.0.1']),
% 1.16/1.58 [weight('<55,44,54,[0,0,0,0]>')]).
% 1.16/1.58 cnf('0.87.2.0',plain,
% 1.16/1.58 ( join(X1,converse(complement(converse(X1)))) = top ),
% 1.16/1.58 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 1.16/1.58 [u,rule_84]).
% 1.16/1.58 cnf('0.88.0.0',plain,
% 1.16/1.58 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 1.16/1.58 inference(interreduction_right,[status(thm)],['0.48.2.0'])).
% 1.16/1.58 cnf('0.88.0.1',plain,
% 1.16/1.58 ( join(X1,join(complement(X1),X2)) = top ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.88.0.0','0.53.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.88.1.0',plain,
% 1.16/1.58 ( join(X1,join(complement(X1),X2)) = top ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.88.0.1']),
% 1.16/1.58 [weight('<55,48,53,[0,0,0,0]>')]).
% 1.16/1.58 cnf('0.88.2.0',plain,
% 1.16/1.58 ( join(X1,join(complement(X1),X2)) = top ),
% 1.16/1.58 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 1.16/1.58 [u,rule_85]).
% 1.16/1.58 cnf('0.89.0.0',plain,
% 1.16/1.58 ( X1 = join(meet(X1,join(complement(complement(X1)),X2)),complement(top)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.59.2.0','0.88.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.1','L')]).
% 1.16/1.58 cnf('0.89.0.1',plain,
% 1.16/1.58 ( X1 = join(meet(X1,join(X1,X2)),complement(top)) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.89.0.0','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('R.1.2.1','L')]).
% 1.16/1.58 cnf('0.89.0.2',plain,
% 1.16/1.58 ( X1 = join(meet(X1,join(X1,X2)),zero) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.89.0.1','0.15.2.0',theory(equality)]),
% 1.16/1.58 [pos('R.2','L')]).
% 1.16/1.58 cnf('0.89.0.3',plain,
% 1.16/1.58 ( X1 = meet(X1,join(X1,X2)) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.89.0.2','0.67.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.89.1.0',plain,
% 1.16/1.58 ( X1 = meet(X1,join(X1,X2)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.89.0.3']),
% 1.16/1.58 [weight('<41,88,59,[0,0,0,5]>')]).
% 1.16/1.58 cnf('0.89.2.0',plain,
% 1.16/1.58 ( meet(X1,join(X1,X2)) = X1 ),
% 1.16/1.58 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_86]).
% 1.16/1.58 cnf('0.90.0.0',plain,
% 1.16/1.58 ( X1 = meet(X1,join(X2,X1)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.89.2.0','0.4.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.90.1.0',plain,
% 1.16/1.58 ( X1 = meet(X1,join(X2,X1)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.90.0.0']),
% 1.16/1.58 [weight('<41,89,4,[1,0,0,2]>')]).
% 1.16/1.58 cnf('0.90.2.0',plain,
% 1.16/1.58 ( meet(X1,join(X2,X1)) = X1 ),
% 1.16/1.58 inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_87]).
% 1.16/1.58 cnf('0.100.0.0',plain,
% 1.16/1.58 ( join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),top) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.86.2.0','0.88.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.100.0.1',plain,
% 1.16/1.58 ( join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),top) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.100.0.0','0.5.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('0.100.0.2',plain,
% 1.16/1.58 ( join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,top)) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.100.0.1','0.5.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.100.0.3',plain,
% 1.16/1.58 ( join(complement(X1),join(X2,X1)) = join(complement(X1),top) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.100.0.2','0.52.2.0',theory(equality)]),
% 1.16/1.58 [pos('R.2','L')]).
% 1.16/1.58 cnf('0.100.0.4',plain,
% 1.16/1.58 ( join(complement(X1),join(X2,X1)) = top ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.100.0.3','0.52.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.100.1.0',plain,
% 1.16/1.58 ( join(complement(X1),join(X2,X1)) = top ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.100.0.4']),
% 1.16/1.58 [weight('<55,88,86,[0,0,0,2]>')]).
% 1.16/1.58 cnf('0.100.2.0',plain,
% 1.16/1.58 ( join(complement(X1),join(X2,X1)) = top ),
% 1.16/1.58 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 1.16/1.58 [u,rule_97]).
% 1.16/1.58 cnf('0.102.0.0',plain,
% 1.16/1.58 ( top = join(complement(meet(X1,X2)),X2) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.100.2.0','0.85.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.102.1.0',plain,
% 1.16/1.58 ( top = join(complement(meet(X1,X2)),X2) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.102.0.0']),
% 1.16/1.58 [weight('<55,100,85,[1,0,0,3]>')]).
% 1.16/1.58 cnf('0.102.1.1',plain,
% 1.16/1.58 ( top = join(X2,complement(meet(X1,X2))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.102.1.0','0.4.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.102.2.0',plain,
% 1.16/1.58 ( join(X1,complement(meet(X2,X1))) = top ),
% 1.16/1.58 inference(orient,[status(thm)],['0.102.1.1',theory(equality)]),
% 1.16/1.58 [x,rule_99]).
% 1.16/1.58 cnf('0.104.0.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,complement(X1))) = complement(top) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.10.2.0','0.102.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.104.0.1',plain,
% 1.16/1.58 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.104.0.0','0.15.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.104.1.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.104.0.1']),
% 1.16/1.58 [weight('<55,102,10,[0,0,0,1]>')]).
% 1.16/1.58 cnf('0.104.2.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 1.16/1.58 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 1.16/1.58 [u,rule_101]).
% 1.16/1.58 cnf('0.106.0.0',plain,
% 1.16/1.58 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.104.2.0','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.2','L')]).
% 1.16/1.58 cnf('0.106.1.0',plain,
% 1.16/1.58 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.106.0.0']),
% 1.16/1.58 [weight('<55,104,69,[1,0,0,4]>')]).
% 1.16/1.58 cnf('0.106.2.0',plain,
% 1.16/1.58 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 1.16/1.58 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_103]).
% 1.16/1.58 cnf('0.108.0.0',plain,
% 1.16/1.58 ( zero = meet(complement(join(X1,X2)),X2) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.106.2.0','0.90.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.108.1.0',plain,
% 1.16/1.58 ( zero = meet(complement(join(X1,X2)),X2) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.108.0.0']),
% 1.16/1.58 [weight('<55,106,90,[1,0,0,3]>')]).
% 1.16/1.58 cnf('0.108.1.1',plain,
% 1.16/1.58 ( zero = meet(X2,complement(join(X1,X2))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.108.1.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.108.2.0',plain,
% 1.16/1.58 ( meet(X1,complement(join(X2,X1))) = zero ),
% 1.16/1.58 inference(orient,[status(thm)],['0.108.1.1',theory(equality)]),
% 1.16/1.58 [x,rule_105]).
% 1.16/1.58 cnf('0.109.0.0',plain,
% 1.16/1.58 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.10.2.0','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1.1','L')]).
% 1.16/1.58 cnf('0.109.1.0',plain,
% 1.16/1.58 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.109.0.0']),
% 1.16/1.58 [weight('<59,69,10,[0,0,0,2]>')]).
% 1.16/1.58 cnf('0.109.2.0',plain,
% 1.16/1.58 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_106]).
% 1.16/1.58 cnf('0.111.0.0',plain,
% 1.16/1.58 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.109.2.0','0.4.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.111.1.0',plain,
% 1.16/1.58 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.111.0.0']),
% 1.16/1.58 [weight('<59,109,4,[1,0,0,1]>')]).
% 1.16/1.58 cnf('0.111.2.0',plain,
% 1.16/1.58 ( complement(join(complement(X1),X2)) = meet(complement(X2),X1) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_107]).
% 1.16/1.58 cnf('0.112.0.0',plain,
% 1.16/1.58 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.69.2.0','0.109.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.112.1.0',plain,
% 1.16/1.58 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.112.0.0']),
% 1.16/1.58 [weight('<59,109,69,[0,0,0,1]>')]).
% 1.16/1.58 cnf('0.112.2.0',plain,
% 1.16/1.58 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_108]).
% 1.16/1.58 cnf('0.114.0.0',plain,
% 1.16/1.58 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.112.2.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.114.1.0',plain,
% 1.16/1.58 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.114.0.0']),
% 1.16/1.58 [weight('<59,112,18,[1,0,0,1]>')]).
% 1.16/1.58 cnf('0.114.2.0',plain,
% 1.16/1.58 ( complement(meet(X1,complement(X2))) = join(X2,complement(X1)) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_110]).
% 1.16/1.58 cnf('0.115.0.0',plain,
% 1.16/1.58 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.112.2.0','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1.1','L')]).
% 1.16/1.58 cnf('0.115.1.0',plain,
% 1.16/1.58 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.115.0.0']),
% 1.16/1.58 [weight('<59,112,69,[1,0,0,2]>')]).
% 1.16/1.58 cnf('0.115.2.0',plain,
% 1.16/1.58 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 1.16/1.58 [u,rule_111]).
% 1.16/1.58 cnf('0.149.0.0',plain,
% 1.16/1.58 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.5.2.0','0.84.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.149.1.0',plain,
% 1.16/1.58 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.149.0.0']),
% 1.16/1.58 [weight('<87,84,5,[0,0,0,1]>')]).
% 1.16/1.58 cnf('0.149.2.0',plain,
% 1.16/1.58 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.149.1.0',theory(equality)]),
% 1.16/1.58 [u,rule_145]).
% 1.16/1.58 cnf('0.151.0.0',plain,
% 1.16/1.58 ( join(X1,meet(X2,meet(X1,X3))) = join(X1,meet(X1,X3)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.149.2.0','0.85.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.151.0.1',plain,
% 1.16/1.58 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.151.0.0','0.84.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.151.1.0',plain,
% 1.16/1.58 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.151.0.1']),
% 1.16/1.58 [weight('<71,149,85,[1,0,0,2]>')]).
% 1.16/1.58 cnf('0.151.2.0',plain,
% 1.16/1.58 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 1.16/1.58 inference(orient,[status(thm)],['0.151.1.0',theory(equality)]),
% 1.16/1.58 [u,rule_147]).
% 1.16/1.58 cnf('0.153.0.0',plain,
% 1.16/1.58 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.151.2.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.2','L')]).
% 1.16/1.58 cnf('0.153.1.0',plain,
% 1.16/1.58 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.153.0.0']),
% 1.16/1.58 [weight('<71,151,18,[1,0,0,4]>')]).
% 1.16/1.58 cnf('0.153.2.0',plain,
% 1.16/1.58 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 1.16/1.58 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_149]).
% 1.16/1.58 cnf('0.154.0.0',plain,
% 1.16/1.58 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.5.2.0','0.85.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.154.1.0',plain,
% 1.16/1.58 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.154.0.0']),
% 1.16/1.58 [weight('<87,85,5,[0,0,0,1]>')]).
% 1.16/1.58 cnf('0.154.2.0',plain,
% 1.16/1.58 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.154.1.0',theory(equality)]),
% 1.16/1.58 [u,rule_150]).
% 1.16/1.58 cnf('0.184.0.0',plain,
% 1.16/1.58 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 1.16/1.58 inference(interreduction_right,[status(thm)],['0.59.2.0'])).
% 1.16/1.58 cnf('0.184.0.1',plain,
% 1.16/1.58 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.184.0.0','0.111.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.184.1.0',plain,
% 1.16/1.58 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.184.0.1']),
% 1.16/1.58 [weight('<89,59,111,[0,0,0,0]>')]).
% 1.16/1.58 cnf('0.184.2.0',plain,
% 1.16/1.58 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 1.16/1.58 inference(orient,[status(thm)],['0.184.1.0',theory(equality)]),
% 1.16/1.58 [u,rule_179]).
% 1.16/1.58 cnf('0.185.0.0',plain,
% 1.16/1.58 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.154.2.0','0.184.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.185.1.0',plain,
% 1.16/1.58 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.185.0.0']),
% 1.16/1.58 [weight('<69,184,154,[0,0,0,2]>')]).
% 1.16/1.58 cnf('0.185.2.0',plain,
% 1.16/1.58 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.185.1.0',theory(equality)]),
% 1.16/1.58 [u,rule_180]).
% 1.16/1.58 cnf('0.187.0.0',plain,
% 1.16/1.58 ( sk1 = join(zero,meet(complement(composition(sk1,complement(one))),sk1)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.184.2.0','0.25.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.187.0.1',plain,
% 1.16/1.58 ( sk1 = meet(complement(composition(sk1,complement(one))),sk1) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.187.0.0','0.64.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.187.1.0',plain,
% 1.16/1.58 ( sk1 = meet(complement(composition(sk1,complement(one))),sk1) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.187.0.1']),
% 1.16/1.58 [weight('<71,184,25,[1,0,0,1]>')]).
% 1.16/1.58 cnf('0.187.1.1',plain,
% 1.16/1.58 ( sk1 = meet(sk1,complement(composition(sk1,complement(one)))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.187.1.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.187.2.0',plain,
% 1.16/1.58 ( meet(sk1,complement(composition(sk1,complement(one)))) = sk1 ),
% 1.16/1.58 inference(orient,[status(thm)],['0.187.1.1',theory(equality)]),
% 1.16/1.58 [x,rule_182]).
% 1.16/1.58 cnf('0.189.0.0',plain,
% 1.16/1.58 ( join(complement(X1),X2) = join(complement(X1),meet(X1,X2)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.185.2.0','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.1','L')]).
% 1.16/1.58 cnf('0.189.1.0',plain,
% 1.16/1.58 ( join(complement(X1),X2) = join(complement(X1),meet(X1,X2)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.189.0.0']),
% 1.16/1.58 [weight('<76,185,69,[1,0,0,3]>')]).
% 1.16/1.58 cnf('0.189.2.0',plain,
% 1.16/1.58 ( join(complement(X1),meet(X1,X2)) = join(complement(X1),X2) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.189.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_184]).
% 1.16/1.58 cnf('0.190.0.0',plain,
% 1.16/1.58 ( meet(complement(meet(complement(complement(X1)),X2)),X1) = complement(join(complement(X1),X2)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.111.2.0','0.185.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.190.0.1',plain,
% 1.16/1.58 ( meet(join(complement(X1),complement(X2)),X1) = complement(join(complement(X1),X2)) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.190.0.0','0.112.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.190.0.2',plain,
% 1.16/1.58 ( meet(complement(meet(X1,X2)),X1) = complement(join(complement(X1),X2)) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.190.0.1','0.115.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.190.0.3',plain,
% 1.16/1.58 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.190.0.2','0.111.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.190.1.0',plain,
% 1.16/1.58 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.190.0.3']),
% 1.16/1.58 [weight('<76,185,111,[0,0,0,1]>')]).
% 1.16/1.58 cnf('0.190.1.1',plain,
% 1.16/1.58 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.190.1.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('0.190.2.0',plain,
% 1.16/1.58 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.190.1.1',theory(equality)]),
% 1.16/1.58 [u,rule_185]).
% 1.16/1.58 cnf('0.191.0.0',plain,
% 1.16/1.58 ( meet(complement(complement(X1)),X2) = meet(X2,join(X1,complement(X2))) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.190.2.0','0.114.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.191.0.1',plain,
% 1.16/1.58 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.191.0.0','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.191.1.0',plain,
% 1.16/1.58 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.191.0.1']),
% 1.16/1.58 [weight('<69,190,114,[1,0,0,2]>')]).
% 1.16/1.58 cnf('0.191.2.0',plain,
% 1.16/1.58 ( meet(X1,join(X2,complement(X1))) = meet(X2,X1) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.191.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_186]).
% 1.16/1.58 cnf('0.192.0.0',plain,
% 1.16/1.58 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.191.2.0','0.4.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.192.1.0',plain,
% 1.16/1.58 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.192.0.0']),
% 1.16/1.58 [weight('<69,191,4,[1,0,0,2]>')]).
% 1.16/1.58 cnf('0.192.2.0',plain,
% 1.16/1.58 ( meet(X1,join(complement(X1),X2)) = meet(X2,X1) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.192.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_187]).
% 1.16/1.58 cnf('0.193.0.0',plain,
% 1.16/1.58 ( meet(converse(complement(converse(complement(X1)))),X1) = meet(X1,top) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.192.2.0','0.87.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.193.0.1',plain,
% 1.16/1.58 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.193.0.0','0.75.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.193.1.0',plain,
% 1.16/1.58 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.193.0.1']),
% 1.16/1.58 [weight('<71,192,87,[1,0,0,2]>')]).
% 1.16/1.58 cnf('0.193.1.1',plain,
% 1.16/1.58 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.193.1.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('0.193.2.0',plain,
% 1.16/1.58 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 1.16/1.58 inference(orient,[status(thm)],['0.193.1.1',theory(equality)]),
% 1.16/1.58 [u,rule_188]).
% 1.16/1.58 cnf('0.194.0.0',plain,
% 1.16/1.58 ( join(X1,complement(converse(complement(converse(complement(complement(X1))))))) = complement(complement(X1)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.112.2.0','0.193.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.194.0.1',plain,
% 1.16/1.58 ( join(X1,complement(converse(complement(converse(X1))))) = complement(complement(X1)) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.194.0.0','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.1.1.1.1','L')]).
% 1.16/1.58 cnf('0.194.0.2',plain,
% 1.16/1.58 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.194.0.1','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.194.1.0',plain,
% 1.16/1.58 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.194.0.2']),
% 1.16/1.58 [weight('<71,193,112,[0,0,0,1]>')]).
% 1.16/1.58 cnf('0.194.2.0',plain,
% 1.16/1.58 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 1.16/1.58 inference(orient,[status(thm)],['0.194.1.0',theory(equality)]),
% 1.16/1.58 [u,rule_189]).
% 1.16/1.58 cnf('0.206.0.0',plain,
% 1.16/1.58 ( join(X1,converse(complement(converse(complement(converse(converse(X1))))))) = converse(converse(X1)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.26.2.0','0.194.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.206.0.1',plain,
% 1.16/1.58 ( join(X1,converse(complement(converse(complement(X1))))) = converse(converse(X1)) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.206.0.0','0.3.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.1.1.1.1','L')]).
% 1.16/1.58 cnf('0.206.0.2',plain,
% 1.16/1.58 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.206.0.1','0.3.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.206.1.0',plain,
% 1.16/1.58 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.206.0.2']),
% 1.16/1.58 [weight('<71,194,26,[0,0,0,1]>')]).
% 1.16/1.58 cnf('0.206.2.0',plain,
% 1.16/1.58 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 1.16/1.58 inference(orient,[status(thm)],['0.206.1.0',theory(equality)]),
% 1.16/1.58 [u,rule_201]).
% 1.16/1.58 cnf('0.209.0.0',plain,
% 1.16/1.58 ( meet(complement(converse(complement(converse(complement(complement(X1)))))),X1) = complement(complement(X1)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.111.2.0','0.206.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.209.0.1',plain,
% 1.16/1.58 ( meet(complement(converse(complement(converse(X1)))),X1) = complement(complement(X1)) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.209.0.0','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1.1.1.1.1','L')]).
% 1.16/1.58 cnf('0.209.0.2',plain,
% 1.16/1.58 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.209.0.1','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.209.1.0',plain,
% 1.16/1.58 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.209.0.2']),
% 1.16/1.58 [weight('<71,206,111,[0,0,0,1]>')]).
% 1.16/1.58 cnf('0.209.1.1',plain,
% 1.16/1.58 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.209.1.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('0.209.2.0',plain,
% 1.16/1.58 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 1.16/1.58 inference(orient,[status(thm)],['0.209.1.1',theory(equality)]),
% 1.16/1.58 [u,rule_204]).
% 1.16/1.58 cnf('0.216.0.0',plain,
% 1.16/1.58 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.191.2.0','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.2','L')]).
% 1.16/1.58 cnf('0.216.1.0',plain,
% 1.16/1.58 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.216.0.0']),
% 1.16/1.58 [weight('<76,191,69,[1,0,0,4]>')]).
% 1.16/1.58 cnf('0.216.2.0',plain,
% 1.16/1.58 ( meet(complement(X1),join(X2,X1)) = meet(X2,complement(X1)) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.216.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_211]).
% 1.16/1.58 cnf('0.217.0.0',plain,
% 1.16/1.58 ( meet(X1,complement(converse(complement(converse(X1))))) = meet(complement(converse(complement(converse(X1)))),top) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.216.2.0','0.87.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.217.0.1',plain,
% 1.16/1.58 ( X1 = meet(complement(converse(complement(converse(X1)))),top) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.217.0.0','0.209.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('0.217.0.2',plain,
% 1.16/1.58 ( X1 = complement(converse(complement(converse(X1)))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.217.0.1','0.75.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.217.1.0',plain,
% 1.16/1.58 ( X1 = complement(converse(complement(converse(X1)))) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.217.0.2']),
% 1.16/1.58 [weight('<41,216,87,[1,0,0,3]>')]).
% 1.16/1.58 cnf('0.217.2.0',plain,
% 1.16/1.58 ( complement(converse(complement(converse(X1)))) = X1 ),
% 1.16/1.58 inference(orient,[status(thm)],['0.217.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_212]).
% 1.16/1.58 cnf('0.218.0.0',plain,
% 1.16/1.58 ( converse(X1) = complement(converse(complement(X1))) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.217.2.0','0.3.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1.1.1','L')]).
% 1.16/1.58 cnf('0.218.1.0',plain,
% 1.16/1.58 ( converse(X1) = complement(converse(complement(X1))) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.218.0.0']),
% 1.16/1.58 [weight('<34,217,3,[1,0,0,3]>')]).
% 1.16/1.58 cnf('0.218.2.0',plain,
% 1.16/1.58 ( complement(converse(complement(X1))) = converse(X1) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.218.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_213]).
% 1.16/1.58 cnf('0.219.0.0',plain,
% 1.16/1.58 ( converse(complement(X1)) = complement(converse(X1)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.69.2.0','0.218.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.219.1.0',plain,
% 1.16/1.58 ( converse(complement(X1)) = complement(converse(X1)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.219.0.0']),
% 1.16/1.58 [weight('<27,218,69,[0,0,0,1]>')]).
% 1.16/1.58 cnf('0.219.2.0',plain,
% 1.16/1.58 ( complement(converse(X1)) = converse(complement(X1)) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.219.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_214]).
% 1.16/1.58 cnf('0.263.0.0',plain,
% 1.16/1.58 ( complement(one) = join(complement(one),composition(converse(X1),complement(X1))) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.2.1','L')]).
% 1.16/1.58 cnf('0.263.1.0',plain,
% 1.16/1.58 ( complement(one) = join(complement(one),composition(converse(X1),complement(X1))) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.263.0.0']),
% 1.16/1.58 [weight('<?,8,2,[1,0,0,7]>')]).
% 1.16/1.58 cnf('0.263.2.0',plain,
% 1.16/1.58 ( join(complement(one),composition(converse(X1),complement(X1))) = complement(one) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.263.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_258]).
% 1.16/1.58 cnf('0.267.0.0',plain,
% 1.16/1.58 ( zero = meet(composition(converse(X1),complement(X1)),complement(complement(one))) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.108.2.0','0.263.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.1','L')]).
% 1.16/1.58 cnf('0.267.0.1',plain,
% 1.16/1.58 ( zero = meet(composition(converse(X1),complement(X1)),one) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.267.0.0','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('R.2','L')]).
% 1.16/1.58 cnf('0.267.1.0',plain,
% 1.16/1.58 ( zero = meet(composition(converse(X1),complement(X1)),one) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.267.0.1']),
% 1.16/1.58 [weight('<71,263,108,[0,0,0,3]>')]).
% 1.16/1.58 cnf('0.267.1.1',plain,
% 1.16/1.58 ( zero = meet(one,composition(converse(X1),complement(X1))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.267.1.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.267.2.0',plain,
% 1.16/1.58 ( meet(one,composition(converse(X1),complement(X1))) = zero ),
% 1.16/1.58 inference(orient,[status(thm)],['0.267.1.1',theory(equality)]),
% 1.16/1.58 [x,rule_262]).
% 1.16/1.58 cnf('0.268.0.0',plain,
% 1.16/1.58 ( zero = meet(one,composition(X1,complement(converse(X1)))) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.267.2.0','0.3.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.1','L')]).
% 1.16/1.58 cnf('0.268.0.1',plain,
% 1.16/1.58 ( zero = meet(one,composition(X1,converse(complement(X1)))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.268.0.0','0.219.2.0',theory(equality)]),
% 1.16/1.58 [pos('R.2.2','L')]).
% 1.16/1.58 cnf('0.268.1.0',plain,
% 1.16/1.58 ( zero = meet(one,composition(X1,converse(complement(X1)))) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.268.0.1']),
% 1.16/1.58 [weight('<71,267,3,[1,0,0,3]>')]).
% 1.16/1.58 cnf('0.268.2.0',plain,
% 1.16/1.58 ( meet(one,composition(X1,converse(complement(X1)))) = zero ),
% 1.16/1.58 inference(orient,[status(thm)],['0.268.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_263]).
% 1.16/1.58 cnf('0.315.0.0',plain,
% 1.16/1.58 ( zero = meet(meet(X1,meet(X2,X3)),complement(X3)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.108.2.0','0.153.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.1','L')]).
% 1.16/1.58 cnf('0.315.1.0',plain,
% 1.16/1.58 ( zero = meet(meet(X1,meet(X2,X3)),complement(X3)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.315.0.0']),
% 1.16/1.58 [weight('<89,153,108,[0,0,0,3]>')]).
% 1.16/1.58 cnf('0.315.1.1',plain,
% 1.16/1.58 ( zero = meet(complement(X3),meet(X1,meet(X2,X3))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.315.1.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.315.2.0',plain,
% 1.16/1.58 ( meet(complement(X1),meet(X2,meet(X3,X1))) = zero ),
% 1.16/1.58 inference(orient,[status(thm)],['0.315.1.1',theory(equality)]),
% 1.16/1.58 [x,rule_310]).
% 1.16/1.58 cnf('0.391.0.0',plain,
% 1.16/1.58 ( one = join(zero,meet(complement(composition(X1,converse(complement(X1)))),one)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.184.2.0','0.268.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1','L')]).
% 1.16/1.58 cnf('0.391.0.1',plain,
% 1.16/1.58 ( one = meet(complement(composition(X1,converse(complement(X1)))),one) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.391.0.0','0.64.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.391.1.0',plain,
% 1.16/1.58 ( one = meet(complement(composition(X1,converse(complement(X1)))),one) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.391.0.1']),
% 1.16/1.58 [weight('<89,268,184,[0,0,0,1]>')]).
% 1.16/1.58 cnf('0.391.1.1',plain,
% 1.16/1.58 ( one = meet(one,complement(composition(X1,converse(complement(X1))))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.391.1.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.391.2.0',plain,
% 1.16/1.58 ( meet(one,complement(composition(X1,converse(complement(X1))))) = one ),
% 1.16/1.58 inference(orient,[status(thm)],['0.391.1.1',theory(equality)]),
% 1.16/1.58 [x,rule_386]).
% 1.16/1.58 cnf('0.484.0.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,X3)) = meet(meet(X1,meet(X2,X3)),X2) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.90.2.0','0.151.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.484.1.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,X3)) = meet(meet(X1,meet(X2,X3)),X2) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.484.0.0']),
% 1.16/1.58 [weight('<103,151,90,[0,0,0,2]>')]).
% 1.16/1.58 cnf('0.484.1.1',plain,
% 1.16/1.58 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X1,meet(X2,X3))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.484.1.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.484.2.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X2,meet(X1,X3)) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.484.1.1',theory(equality)]),
% 1.16/1.58 [x,rule_479]).
% 1.16/1.58 cnf('0.490.0.0',plain,
% 1.16/1.58 ( complement(composition(sk1,complement(one))) = join(complement(composition(sk1,complement(one))),sk1) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.85.2.0','0.187.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.490.1.0',plain,
% 1.16/1.58 ( complement(composition(sk1,complement(one))) = join(complement(composition(sk1,complement(one))),sk1) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.490.0.0']),
% 1.16/1.58 [weight('<103,187,85,[0,0,0,2]>')]).
% 1.16/1.58 cnf('0.490.1.1',plain,
% 1.16/1.58 ( complement(composition(sk1,complement(one))) = join(sk1,complement(composition(sk1,complement(one)))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.490.1.0','0.4.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.490.2.0',plain,
% 1.16/1.58 ( join(sk1,complement(composition(sk1,complement(one)))) = complement(composition(sk1,complement(one))) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.490.1.1',theory(equality)]),
% 1.16/1.58 [x,rule_485]).
% 1.16/1.58 cnf('0.508.0.0',plain,
% 1.16/1.58 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,join(meet(X1,X2),X3)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.149.2.0','0.185.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.508.0.1',plain,
% 1.16/1.58 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.508.0.0','0.149.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.508.1.0',plain,
% 1.16/1.58 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.508.0.1']),
% 1.16/1.58 [weight('<107,185,149,[0,0,0,2]>')]).
% 1.16/1.58 cnf('0.508.2.0',plain,
% 1.16/1.58 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.508.1.0',theory(equality)]),
% 1.16/1.58 [u,rule_503]).
% 1.16/1.58 cnf('0.516.0.0',plain,
% 1.16/1.58 ( join(X1,X2) = join(X1,meet(join(X3,complement(X1)),X2)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.508.2.0','0.114.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.1','L')]).
% 1.16/1.58 cnf('0.516.1.0',plain,
% 1.16/1.58 ( join(X1,X2) = join(X1,meet(join(X3,complement(X1)),X2)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.516.0.0']),
% 1.16/1.58 [weight('<107,508,114,[1,0,0,3]>')]).
% 1.16/1.58 cnf('0.516.2.0',plain,
% 1.16/1.58 ( join(X1,meet(join(X2,complement(X1)),X3)) = join(X1,X3) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.516.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_511]).
% 1.16/1.58 cnf('0.517.0.0',plain,
% 1.16/1.58 ( meet(meet(join(X1,complement(complement(X2))),X3),X2) = meet(X2,join(complement(X2),X3)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.192.2.0','0.516.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.517.0.1',plain,
% 1.16/1.58 ( meet(meet(join(X1,X2),X3),X2) = meet(X2,join(complement(X2),X3)) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.517.0.0','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.1.1.2','L')]).
% 1.16/1.58 cnf('0.517.0.2',plain,
% 1.16/1.58 ( meet(meet(join(X1,X2),X3),X2) = meet(X3,X2) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.517.0.1','0.192.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.517.1.0',plain,
% 1.16/1.58 ( meet(meet(join(X1,X2),X3),X2) = meet(X3,X2) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.517.0.2']),
% 1.16/1.58 [weight('<87,516,192,[0,0,0,2]>')]).
% 1.16/1.58 cnf('0.517.1.1',plain,
% 1.16/1.58 ( meet(X2,meet(join(X1,X2),X3)) = meet(X3,X2) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.517.1.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('0.517.2.0',plain,
% 1.16/1.58 ( meet(X1,meet(join(X2,X1),X3)) = meet(X3,X1) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.517.1.1',theory(equality)]),
% 1.16/1.58 [u,rule_512]).
% 1.16/1.58 cnf('0.520.0.0',plain,
% 1.16/1.58 ( meet(X1,X2) = meet(X2,meet(X1,join(X3,X2))) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.517.2.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.520.1.0',plain,
% 1.16/1.58 ( meet(X1,X2) = meet(X2,meet(X1,join(X3,X2))) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.520.0.0']),
% 1.16/1.58 [weight('<87,517,18,[1,0,0,2]>')]).
% 1.16/1.58 cnf('0.520.2.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,join(X3,X1))) = meet(X2,X1) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.520.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_515]).
% 1.16/1.58 cnf('0.522.0.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X2,X1)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.517.2.0','0.84.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.1','L')]).
% 1.16/1.58 cnf('0.522.1.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X2,X1)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.522.0.0']),
% 1.16/1.58 [weight('<103,517,84,[1,0,0,3]>')]).
% 1.16/1.58 cnf('0.522.2.0',plain,
% 1.16/1.58 ( meet(meet(X1,X2),meet(X1,X3)) = meet(X3,meet(X1,X2)) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.522.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_517]).
% 1.16/1.58 cnf('0.523.0.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X3,X1)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.517.2.0','0.85.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.1','L')]).
% 1.16/1.58 cnf('0.523.1.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X3,X1)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.523.0.0']),
% 1.16/1.58 [weight('<103,517,85,[1,0,0,3]>')]).
% 1.16/1.58 cnf('0.523.2.0',plain,
% 1.16/1.58 ( meet(meet(X1,X2),meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.523.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_518]).
% 1.16/1.58 cnf('0.528.0.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X1,X2)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.520.2.0','0.84.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.2','L')]).
% 1.16/1.58 cnf('0.528.1.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X1,X2)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.528.0.0']),
% 1.16/1.58 [weight('<103,520,84,[1,0,0,4]>')]).
% 1.16/1.58 cnf('0.528.2.0',plain,
% 1.16/1.58 ( meet(meet(X1,X2),meet(X3,X1)) = meet(X3,meet(X1,X2)) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.528.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_523]).
% 1.16/1.58 cnf('0.530.0.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,X3)) = meet(meet(X3,X1),meet(X2,X3)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.523.2.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('0.530.1.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,X3)) = meet(meet(X3,X1),meet(X2,X3)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.530.0.0']),
% 1.16/1.58 [weight('<103,523,18,[1,0,0,0]>')]).
% 1.16/1.58 cnf('0.530.1.1',plain,
% 1.16/1.58 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.530.1.0','0.528.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.530.2.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)) ),
% 1.16/1.58 inference(activate,[status(thm)],['0.530.1.1']),
% 1.16/1.58 [equation_6]).
% 1.16/1.58 cnf('0.531.0.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.530.2.0','0.18.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('0.531.1.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.531.0.0']),
% 1.16/1.58 [weight('<65,530,18,[1,0,0,0]>')]).
% 1.16/1.58 cnf('0.531.2.0',plain,
% 1.16/1.58 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.531.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_525]).
% 1.16/1.58 cnf('0.534.0.0',plain,
% 1.16/1.58 ( meet(meet(X1,X2),meet(X1,X3)) = meet(X3,meet(X1,X2)) ),
% 1.16/1.58 inference(interreduction_right,[status(thm)],['0.522.2.0'])).
% 1.16/1.58 cnf('0.534.1.0',plain,
% 1.16/1.58 ( meet(meet(X1,X2),meet(X1,X3)) = meet(X3,meet(X1,X2)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.534.0.0']),
% 1.16/1.58 [weight('<103,522,530,[0,0,0,0]>')]).
% 1.16/1.58 cnf('0.534.1.1',plain,
% 1.16/1.58 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X3,meet(X1,X2)) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.534.1.0','0.531.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('0.534.1.2',plain,
% 1.16/1.58 ( meet(X2,meet(X1,X3)) = meet(X3,meet(X1,X2)) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.534.1.1','0.484.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('0.534.2.0',plain,
% 1.16/1.58 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)) ),
% 1.16/1.58 inference(activate,[status(thm)],['0.534.1.2']),
% 1.16/1.58 [equation_7]).
% 1.16/1.58 cnf('0.642.0.0',plain,
% 1.16/1.58 ( zero = meet(complement(complement(composition(X1,converse(complement(X1))))),meet(X2,one)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.315.2.0','0.391.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.2','L')]).
% 1.16/1.58 cnf('0.642.0.1',plain,
% 1.16/1.58 ( zero = meet(composition(X1,converse(complement(X1))),meet(X2,one)) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.642.0.0','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('R.1','L')]).
% 1.16/1.58 cnf('0.642.1.0',plain,
% 1.16/1.58 ( zero = meet(composition(X1,converse(complement(X1))),meet(X2,one)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.642.0.1']),
% 1.16/1.58 [weight('<109,391,315,[0,0,0,5]>')]).
% 1.16/1.58 cnf('0.642.1.1',plain,
% 1.16/1.58 ( zero = meet(one,meet(X2,composition(X1,converse(complement(X1))))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.642.1.0','0.534.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.642.2.0',plain,
% 1.16/1.58 ( meet(one,meet(X1,composition(X2,converse(complement(X2))))) = zero ),
% 1.16/1.58 inference(orient,[status(thm)],['0.642.1.1',theory(equality)]),
% 1.16/1.58 [x,rule_634]).
% 1.16/1.58 cnf('0.896.0.0',plain,
% 1.16/1.58 ( composition(join(one,composition(X1,X2)),X3) = join(X3,composition(X1,composition(X2,X3))) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.47.2.0','0.11.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.896.1.0',plain,
% 1.16/1.58 ( composition(join(one,composition(X1,X2)),X3) = join(X3,composition(X1,composition(X2,X3))) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.896.0.0']),
% 1.16/1.58 [weight('<119,47,11,[1,0,0,2]>')]).
% 1.16/1.58 cnf('0.896.2.0',plain,
% 1.16/1.58 ( join(X1,composition(X2,composition(X3,X1))) = composition(join(one,composition(X2,X3)),X1) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.896.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_886]).
% 1.16/1.58 cnf('0.1062.0.0',plain,
% 1.16/1.58 ( composition(X1,X2) = meet(composition(X1,X2),composition(join(X1,X3),X2)) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.89.2.0','0.7.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.1062.1.0',plain,
% 1.16/1.58 ( composition(X1,X2) = meet(composition(X1,X2),composition(join(X1,X3),X2)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.1062.0.0']),
% 1.16/1.58 [weight('<129,89,7,[1,0,0,2]>')]).
% 1.16/1.58 cnf('0.1062.2.0',plain,
% 1.16/1.58 ( meet(composition(X1,X2),composition(join(X1,X3),X2)) = composition(X1,X2) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.1062.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_1050]).
% 1.16/1.58 cnf('0.1064.0.0',plain,
% 1.16/1.58 ( zero = meet(one,composition(X1,converse(complement(join(X1,X2))))) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.642.2.0','0.1062.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.1064.1.0',plain,
% 1.16/1.58 ( zero = meet(one,composition(X1,converse(complement(join(X1,X2))))) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.1064.0.0']),
% 1.16/1.58 [weight('<109,1062,642,[0,0,0,2]>')]).
% 1.16/1.58 cnf('0.1064.2.0',plain,
% 1.16/1.58 ( meet(one,composition(X1,converse(complement(join(X1,X2))))) = zero ),
% 1.16/1.58 inference(orient,[status(thm)],['0.1064.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_1052]).
% 1.16/1.58 cnf('0.1073.0.0',plain,
% 1.16/1.58 ( zero = meet(one,composition(converse(X1),converse(complement(converse(join(X1,X2)))))) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.1064.2.0','0.9.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.2.1.1','L')]).
% 1.16/1.58 cnf('0.1073.0.1',plain,
% 1.16/1.58 ( zero = meet(one,converse(composition(complement(converse(join(X1,X2))),X1))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.1073.0.0','0.12.2.0',theory(equality)]),
% 1.16/1.58 [pos('R.2','L')]).
% 1.16/1.58 cnf('0.1073.0.2',plain,
% 1.16/1.58 ( zero = meet(one,converse(composition(converse(complement(join(X1,X2))),X1))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.1073.0.1','0.219.2.0',theory(equality)]),
% 1.16/1.58 [pos('R.2.1.1','L')]).
% 1.16/1.58 cnf('0.1073.0.3',plain,
% 1.16/1.58 ( zero = meet(one,composition(converse(X1),complement(join(X1,X2)))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.1073.0.2','0.29.2.0',theory(equality)]),
% 1.16/1.58 [pos('R.2','L')]).
% 1.16/1.58 cnf('0.1073.1.0',plain,
% 1.16/1.58 ( zero = meet(one,composition(converse(X1),complement(join(X1,X2)))) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.1073.0.3']),
% 1.16/1.58 [weight('<109,1064,9,[1,0,0,6]>')]).
% 1.16/1.58 cnf('0.1073.2.0',plain,
% 1.16/1.58 ( meet(one,composition(converse(X1),complement(join(X1,X2)))) = zero ),
% 1.16/1.58 inference(orient,[status(thm)],['0.1073.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_1061]).
% 1.16/1.58 cnf('0.1115.0.0',plain,
% 1.16/1.58 ( zero = meet(one,composition(converse(sk1),complement(complement(composition(sk1,complement(one)))))) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.1073.2.0','0.490.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.2.1','L')]).
% 1.16/1.58 cnf('0.1115.0.1',plain,
% 1.16/1.58 ( zero = meet(one,composition(converse(sk1),composition(sk1,complement(one)))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.1115.0.0','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('R.2.2','L')]).
% 1.16/1.58 cnf('0.1115.1.0',plain,
% 1.16/1.58 ( zero = meet(one,composition(converse(sk1),composition(sk1,complement(one)))) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.1115.0.1']),
% 1.16/1.58 [weight('<109,1073,490,[1,0,0,6]>')]).
% 1.16/1.58 cnf('0.1115.2.0',plain,
% 1.16/1.58 ( meet(one,composition(converse(sk1),composition(sk1,complement(one)))) = zero ),
% 1.16/1.58 inference(orient,[status(thm)],['0.1115.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_1103]).
% 1.16/1.58 cnf('0.1152.0.0',plain,
% 1.16/1.58 ( join(complement(one),composition(converse(sk1),composition(sk1,complement(one)))) = join(complement(one),zero) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.189.2.0','0.1115.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2','L')]).
% 1.16/1.58 cnf('0.1152.0.1',plain,
% 1.16/1.58 ( composition(join(one,composition(converse(sk1),sk1)),complement(one)) = join(complement(one),zero) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.1152.0.0','0.896.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('0.1152.0.2',plain,
% 1.16/1.58 ( composition(join(one,composition(converse(sk1),sk1)),complement(one)) = complement(one) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.1152.0.1','0.67.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.1152.1.0',plain,
% 1.16/1.58 ( composition(join(one,composition(converse(sk1),sk1)),complement(one)) = complement(one) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.1152.0.2']),
% 1.16/1.58 [weight('<119,1115,189,[0,0,0,3]>')]).
% 1.16/1.58 cnf('0.1152.2.0',plain,
% 1.16/1.58 ( composition(join(one,composition(converse(sk1),sk1)),complement(one)) = complement(one) ),
% 1.16/1.58 inference(orient,[status(thm)],['0.1152.1.0',theory(equality)]),
% 1.16/1.58 [u,rule_1140]).
% 1.16/1.58 cnf('0.1153.0.0',plain,
% 1.16/1.58 ( complement(complement(one)) = join(complement(complement(one)),composition(converse(join(one,composition(converse(sk1),sk1))),complement(complement(one)))) ),
% 1.16/1.58 inference(cp,[status(thm)],['0.8.2.0','0.1152.2.0',theory(equality)]),
% 1.16/1.58 [pos('L.2.2.1','L')]).
% 1.16/1.58 cnf('0.1153.0.1',plain,
% 1.16/1.58 ( one = join(complement(complement(one)),composition(converse(join(one,composition(converse(sk1),sk1))),complement(complement(one)))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.1153.0.0','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('0.1153.0.2',plain,
% 1.16/1.58 ( one = composition(join(one,converse(join(one,composition(converse(sk1),sk1)))),complement(complement(one))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.1153.0.1','0.47.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.1153.0.3',plain,
% 1.16/1.58 ( one = composition(join(one,join(one,converse(composition(converse(sk1),sk1)))),complement(complement(one))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.1153.0.2','0.33.2.0',theory(equality)]),
% 1.16/1.58 [pos('R.1.2','L')]).
% 1.16/1.58 cnf('0.1153.0.4',plain,
% 1.16/1.58 ( one = composition(join(one,converse(composition(converse(sk1),sk1))),complement(complement(one))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.1153.0.3','0.83.2.0',theory(equality)]),
% 1.16/1.58 [pos('R.1','L')]).
% 1.16/1.58 cnf('0.1153.0.5',plain,
% 1.16/1.58 ( one = composition(join(one,composition(converse(sk1),sk1)),complement(complement(one))) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.1153.0.4','0.29.2.0',theory(equality)]),
% 1.16/1.58 [pos('R.1.2','L')]).
% 1.16/1.58 cnf('0.1153.0.6',plain,
% 1.16/1.58 ( one = composition(join(one,composition(converse(sk1),sk1)),one) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.1153.0.5','0.69.2.0',theory(equality)]),
% 1.16/1.58 [pos('R.2','L')]).
% 1.16/1.58 cnf('0.1153.0.7',plain,
% 1.16/1.58 ( one = join(one,composition(converse(sk1),sk1)) ),
% 1.16/1.58 inference(reduction,[status(thm)],['0.1153.0.6','0.2.2.0',theory(equality)]),
% 1.16/1.58 [pos('R','L')]).
% 1.16/1.58 cnf('0.1153.1.0',plain,
% 1.16/1.58 ( one = join(one,composition(converse(sk1),sk1)) ),
% 1.16/1.58 inference(weigh,[status(thm)],['0.1153.0.7']),
% 1.16/1.58 [weight('<55,1152,8,[0,0,0,7]>')]).
% 1.16/1.58 cnf('0.1153.2.0',plain,
% 1.16/1.58 ( join(one,composition(converse(sk1),sk1)) = one ),
% 1.16/1.58 inference(orient,[status(thm)],['0.1153.1.0',theory(equality)]),
% 1.16/1.58 [x,rule_1141]).
% 1.16/1.58 cnf('1.0.0.0',conjecture,
% 1.16/1.58 ( join(composition(converse(sk1),sk1),one) = one ),
% 1.16/1.58 file('/tmp/WALDMEISTER_26521_n017',conjecture_1)).
% 1.16/1.58 cnf('1.0.0.1',plain,
% 1.16/1.58 ( join(one,composition(converse(sk1),sk1)) = one ),
% 1.16/1.58 inference(reduction,[status(thm)],['1.0.0.0','0.4.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('1.0.0.2',plain,
% 1.16/1.58 ( one = one ),
% 1.16/1.58 inference(reduction,[status(thm)],['1.0.0.1','0.1153.2.0',theory(equality)]),
% 1.16/1.58 [pos('L','L')]).
% 1.16/1.58 cnf('1.0.0.3',plain,
% 1.16/1.58 ( $true ),
% 1.16/1.58 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 1.16/1.58 [conjecture_1]).
% 1.16/1.58
% 1.16/1.58 Proved Goals:
% 1.16/1.58 No. 1: join(composition(converse(sk1),sk1),one) ?= one joined, current: one = one
% 1.16/1.58 1 goal was specified, which was proved.
% 1.16/1.58 % SZS output end CNFRefutation
% 1.16/1.58 #END OF PROOF
% 1.16/1.58
% 1.16/1.58 Problem WALDMEISTER_26521_n017
% 1.16/1.58 CPs.gen 207394
% 1.16/1.58 CPs.reexp 0
% 1.16/1.58 Select 13344
% 1.16/1.58 R 1141
% 1.16/1.58 E 12
% 1.16/1.58 vsize 8.1M
% 1.16/1.58 rss 5.4M
% 1.16/1.58 process.time 0.591s
% 1.16/1.58 wallclock.time 0.591s
% 1.16/1.58 status S
% 1.16/1.58
% 1.16/1.58
% 1.16/1.58 Waldmeister states: Goal proved.
% 1.16/1.58 % SZS status Unsatisfiable
%------------------------------------------------------------------------------