TSTP Solution File: REL022-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL022-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n013.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 20:09:56 EDT 2022
% Result : Unsatisfiable 2.69s 3.08s
% Output : CNFRefutation 2.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : REL022-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : woody %s
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jul 8 14:09:59 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.96 * |/ | \/ | *
% 0.57/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.96 * A. Jaeger and B. Loechner | | *
% 0.57/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.96
% 0.57/0.96 Goals:
% 0.57/0.96 ------
% 0.57/0.96
% 0.57/0.96 ( 1) join(meet(sk1,sk2),composition(meet(sk1,one),sk2)) ?=? composition(meet(sk1,one),sk2)
% 0.57/0.96
% 0.57/0.96 Detected structure: Orkus
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 2.69/3.08 joined goal: 1 join(meet(sk1,sk2),composition(meet(sk1,one),sk2)) ?= composition(meet(sk1,one),sk2) to meet(sk2,sk1)
% 2.69/3.08 goal joined
% 2.69/3.08 % SZS status Unsatisfiable
% 2.69/3.08 #START OF PROOF
% 2.69/3.08 % SZS output start CNFRefutation
% 2.69/3.08 cnf('0.1.0.0',axiom,
% 2.69/3.08 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 2.69/3.08 file('/tmp/WALDMEISTER_17719_n013')).
% 2.69/3.08 cnf('0.1.1.0',plain,
% 2.69/3.08 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.1.0.0']),
% 2.69/3.08 [weight('<0,0,0,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.1.2.0',plain,
% 2.69/3.08 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_1]).
% 2.69/3.08 cnf('0.2.0.0',axiom,
% 2.69/3.08 ( X1 = composition(X1,one) ),
% 2.69/3.08 file('/tmp/WALDMEISTER_17719_n013')).
% 2.69/3.08 cnf('0.2.1.0',plain,
% 2.69/3.08 ( X1 = composition(X1,one) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.2.0.0']),
% 2.69/3.08 [weight('<1,0,0,[0,0,0,2]>')]).
% 2.69/3.08 cnf('0.2.2.0',plain,
% 2.69/3.08 ( composition(X1,one) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_2]).
% 2.69/3.08 cnf('0.3.0.0',axiom,
% 2.69/3.08 ( X1 = converse(converse(X1)) ),
% 2.69/3.08 file('/tmp/WALDMEISTER_17719_n013')).
% 2.69/3.08 cnf('0.3.1.0',plain,
% 2.69/3.08 ( X1 = converse(converse(X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.3.0.0']),
% 2.69/3.08 [weight('<2,0,0,[0,0,0,3]>')]).
% 2.69/3.08 cnf('0.3.2.0',plain,
% 2.69/3.08 ( converse(converse(X1)) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_3]).
% 2.69/3.08 cnf('0.4.0.0',axiom,
% 2.69/3.08 ( join(X1,X2) = join(X2,X1) ),
% 2.69/3.08 file('/tmp/WALDMEISTER_17719_n013')).
% 2.69/3.08 cnf('0.4.1.0',plain,
% 2.69/3.08 ( join(X1,X2) = join(X2,X1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.4.0.0']),
% 2.69/3.08 [weight('<3,0,0,[0,0,0,4]>')]).
% 2.69/3.08 cnf('0.4.2.0',plain,
% 2.69/3.08 ( join(X1,X2) = join(X2,X1) ),
% 2.69/3.08 inference(activate,[status(thm)],['0.4.1.0']),
% 2.69/3.08 [equation_1]).
% 2.69/3.08 cnf('0.5.0.0',axiom,
% 2.69/3.08 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 2.69/3.08 file('/tmp/WALDMEISTER_17719_n013')).
% 2.69/3.08 cnf('0.5.1.0',plain,
% 2.69/3.08 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.5.0.0']),
% 2.69/3.08 [weight('<4,0,0,[0,0,0,5]>')]).
% 2.69/3.08 cnf('0.5.2.0',plain,
% 2.69/3.08 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_4]).
% 2.69/3.08 cnf('0.6.0.0',axiom,
% 2.69/3.08 ( join(X1,complement(X1)) = top ),
% 2.69/3.08 file('/tmp/WALDMEISTER_17719_n013')).
% 2.69/3.08 cnf('0.6.1.0',plain,
% 2.69/3.08 ( join(X1,complement(X1)) = top ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.6.0.0']),
% 2.69/3.08 [weight('<5,0,0,[0,0,0,6]>')]).
% 2.69/3.08 cnf('0.6.2.0',plain,
% 2.69/3.08 ( join(X1,complement(X1)) = top ),
% 2.69/3.08 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_5]).
% 2.69/3.08 cnf('0.7.0.0',axiom,
% 2.69/3.08 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 2.69/3.08 file('/tmp/WALDMEISTER_17719_n013')).
% 2.69/3.08 cnf('0.7.1.0',plain,
% 2.69/3.08 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.7.0.0']),
% 2.69/3.08 [weight('<6,0,0,[0,0,0,7]>')]).
% 2.69/3.08 cnf('0.7.2.0',plain,
% 2.69/3.08 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_6]).
% 2.69/3.08 cnf('0.8.0.0',axiom,
% 2.69/3.08 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 2.69/3.08 file('/tmp/WALDMEISTER_17719_n013')).
% 2.69/3.08 cnf('0.8.1.0',plain,
% 2.69/3.08 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.8.0.0']),
% 2.69/3.08 [weight('<7,0,0,[0,0,0,8]>')]).
% 2.69/3.08 cnf('0.8.1.1',plain,
% 2.69/3.08 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.8.1.0','0.4.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.8.2.0',plain,
% 2.69/3.08 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.8.1.1',theory(equality)]),
% 2.69/3.08 [u,rule_7]).
% 2.69/3.08 cnf('0.9.0.0',axiom,
% 2.69/3.08 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 2.69/3.08 file('/tmp/WALDMEISTER_17719_n013')).
% 2.69/3.08 cnf('0.9.1.0',plain,
% 2.69/3.08 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.9.0.0']),
% 2.69/3.08 [weight('<8,0,0,[0,0,0,9]>')]).
% 2.69/3.08 cnf('0.9.2.0',plain,
% 2.69/3.08 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_8]).
% 2.69/3.08 cnf('0.10.0.0',axiom,
% 2.69/3.08 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 2.69/3.08 file('/tmp/WALDMEISTER_17719_n013')).
% 2.69/3.08 cnf('0.10.1.0',plain,
% 2.69/3.08 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.10.0.0']),
% 2.69/3.08 [weight('<9,0,0,[0,0,0,10]>')]).
% 2.69/3.08 cnf('0.10.2.0',plain,
% 2.69/3.08 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_9]).
% 2.69/3.08 cnf('0.11.0.0',axiom,
% 2.69/3.08 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 2.69/3.08 file('/tmp/WALDMEISTER_17719_n013')).
% 2.69/3.08 cnf('0.11.1.0',plain,
% 2.69/3.08 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.11.0.0']),
% 2.69/3.08 [weight('<10,0,0,[0,0,0,11]>')]).
% 2.69/3.08 cnf('0.11.2.0',plain,
% 2.69/3.08 ( composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_10]).
% 2.69/3.08 cnf('0.12.0.0',axiom,
% 2.69/3.08 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 2.69/3.08 file('/tmp/WALDMEISTER_17719_n013')).
% 2.69/3.08 cnf('0.12.1.0',plain,
% 2.69/3.08 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.12.0.0']),
% 2.69/3.08 [weight('<11,0,0,[0,0,0,12]>')]).
% 2.69/3.08 cnf('0.12.2.0',plain,
% 2.69/3.08 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_11]).
% 2.69/3.08 cnf('0.13.0.0',axiom,
% 2.69/3.08 ( composition(sk1,top) = sk1 ),
% 2.69/3.08 file('/tmp/WALDMEISTER_17719_n013')).
% 2.69/3.08 cnf('0.13.1.0',plain,
% 2.69/3.08 ( composition(sk1,top) = sk1 ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.13.0.0']),
% 2.69/3.08 [weight('<12,0,0,[0,0,0,13]>')]).
% 2.69/3.08 cnf('0.13.2.0',plain,
% 2.69/3.08 ( composition(sk1,top) = sk1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_12]).
% 2.69/3.08 cnf('0.14.0.0',axiom,
% 2.69/3.08 ( meet(X1,complement(X1)) = zero ),
% 2.69/3.08 file('/tmp/WALDMEISTER_17719_n013')).
% 2.69/3.08 cnf('0.14.1.0',plain,
% 2.69/3.08 ( meet(X1,complement(X1)) = zero ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.14.0.0']),
% 2.69/3.08 [weight('<13,0,0,[0,0,0,14]>')]).
% 2.69/3.08 cnf('0.14.2.0',plain,
% 2.69/3.08 ( meet(X1,complement(X1)) = zero ),
% 2.69/3.08 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_13]).
% 2.69/3.08 cnf('0.15.0.0',plain,
% 2.69/3.08 ( meet(X1,complement(X1)) = complement(top) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.15.1.0',plain,
% 2.69/3.08 ( meet(X1,complement(X1)) = complement(top) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.15.0.0']),
% 2.69/3.08 [weight('<34,10,6,[1,0,0,1]>')]).
% 2.69/3.08 cnf('0.15.1.1',plain,
% 2.69/3.08 ( zero = complement(top) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.15.1.0','0.14.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.15.2.0',plain,
% 2.69/3.08 ( complement(top) = zero ),
% 2.69/3.08 inference(orient,[status(thm)],['0.15.1.1',theory(equality)]),
% 2.69/3.08 [x,rule_14]).
% 2.69/3.08 cnf('0.16.0.0',plain,
% 2.69/3.08 ( top = join(top,zero) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.6.2.0','0.15.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.16.1.0',plain,
% 2.69/3.08 ( top = join(top,zero) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.16.0.0']),
% 2.69/3.08 [weight('<19,15,6,[0,0,0,2]>')]).
% 2.69/3.08 cnf('0.16.1.1',plain,
% 2.69/3.08 ( top = join(zero,top) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.16.1.0','0.4.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.16.2.0',plain,
% 2.69/3.08 ( join(zero,top) = top ),
% 2.69/3.08 inference(orient,[status(thm)],['0.16.1.1',theory(equality)]),
% 2.69/3.08 [x,rule_15]).
% 2.69/3.08 cnf('0.18.0.0',plain,
% 2.69/3.08 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.10.2.0','0.4.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.18.0.1',plain,
% 2.69/3.08 ( meet(X1,X2) = meet(X2,X1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.18.0.0','0.10.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.18.1.0',plain,
% 2.69/3.08 ( meet(X1,X2) = meet(X2,X1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.18.0.1']),
% 2.69/3.08 [weight('<48,10,4,[1,0,0,1]>')]).
% 2.69/3.08 cnf('0.18.2.0',plain,
% 2.69/3.08 ( meet(X1,X2) = meet(X2,X1) ),
% 2.69/3.08 inference(activate,[status(thm)],['0.18.1.0']),
% 2.69/3.08 [equation_2]).
% 2.69/3.08 cnf('0.21.0.0',plain,
% 2.69/3.08 ( composition(sk1,composition(top,X1)) = composition(sk1,X1) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.11.2.0','0.13.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.21.1.0',plain,
% 2.69/3.08 ( composition(sk1,composition(top,X1)) = composition(sk1,X1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.21.0.0']),
% 2.69/3.08 [weight('<53,13,11,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.21.2.0',plain,
% 2.69/3.08 ( composition(sk1,composition(top,X1)) = composition(sk1,X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_19]).
% 2.69/3.08 cnf('0.22.0.0',plain,
% 2.69/3.08 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.10.2.0','0.15.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1.1','L')]).
% 2.69/3.08 cnf('0.22.1.0',plain,
% 2.69/3.08 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.22.0.0']),
% 2.69/3.08 [weight('<53,15,10,[0,0,0,2]>')]).
% 2.69/3.08 cnf('0.22.2.0',plain,
% 2.69/3.08 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_20]).
% 2.69/3.08 cnf('0.24.0.0',plain,
% 2.69/3.08 ( join(zero,join(top,X1)) = join(top,X1) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.5.2.0','0.16.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.24.1.0',plain,
% 2.69/3.08 ( join(zero,join(top,X1)) = join(top,X1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.24.0.0']),
% 2.69/3.08 [weight('<53,16,5,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.24.2.0',plain,
% 2.69/3.08 ( join(zero,join(top,X1)) = join(top,X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_22]).
% 2.69/3.08 cnf('0.25.0.0',plain,
% 2.69/3.08 ( join(top,X1) = join(zero,join(X1,top)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.24.2.0','0.4.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.25.1.0',plain,
% 2.69/3.08 ( join(top,X1) = join(zero,join(X1,top)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.25.0.0']),
% 2.69/3.08 [weight('<53,24,4,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.25.2.0',plain,
% 2.69/3.08 ( join(zero,join(X1,top)) = join(top,X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_23]).
% 2.69/3.08 cnf('0.26.0.0',plain,
% 2.69/3.08 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.26.1.0',plain,
% 2.69/3.08 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.26.0.0']),
% 2.69/3.08 [weight('<59,9,3,[1,0,0,1]>')]).
% 2.69/3.08 cnf('0.26.2.0',plain,
% 2.69/3.08 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_24]).
% 2.69/3.08 cnf('0.27.0.0',plain,
% 2.69/3.08 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.27.1.0',plain,
% 2.69/3.08 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.27.0.0']),
% 2.69/3.08 [weight('<59,9,3,[1,0,0,3]>')]).
% 2.69/3.08 cnf('0.27.2.0',plain,
% 2.69/3.08 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_25]).
% 2.69/3.08 cnf('0.28.0.0',plain,
% 2.69/3.08 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.28.1.0',plain,
% 2.69/3.08 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.28.0.0']),
% 2.69/3.08 [weight('<59,12,3,[1,0,0,1]>')]).
% 2.69/3.08 cnf('0.28.2.0',plain,
% 2.69/3.08 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_26]).
% 2.69/3.08 cnf('0.29.0.0',plain,
% 2.69/3.08 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.29.1.0',plain,
% 2.69/3.08 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.29.0.0']),
% 2.69/3.08 [weight('<59,12,3,[1,0,0,3]>')]).
% 2.69/3.08 cnf('0.29.2.0',plain,
% 2.69/3.08 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_27]).
% 2.69/3.08 cnf('0.30.0.0',plain,
% 2.69/3.08 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.29.2.0','0.2.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.30.0.1',plain,
% 2.69/3.08 ( composition(converse(one),X1) = X1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.30.0.0','0.3.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.30.1.0',plain,
% 2.69/3.08 ( composition(converse(one),X1) = X1 ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.30.0.1']),
% 2.69/3.08 [weight('<29,29,2,[1,0,0,1]>')]).
% 2.69/3.08 cnf('0.30.2.0',plain,
% 2.69/3.08 ( composition(converse(one),X1) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_28]).
% 2.69/3.08 cnf('0.31.0.0',plain,
% 2.69/3.08 ( one = converse(one) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.30.2.0','0.2.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.31.1.0',plain,
% 2.69/3.08 ( one = converse(one) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.31.0.0']),
% 2.69/3.08 [weight('<11,30,2,[1,0,0,0]>')]).
% 2.69/3.08 cnf('0.31.2.0',plain,
% 2.69/3.08 ( converse(one) = one ),
% 2.69/3.08 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_29]).
% 2.69/3.08 cnf('0.32.0.0',plain,
% 2.69/3.08 ( composition(converse(one),X1) = X1 ),
% 2.69/3.08 inference(interreduction_right,[status(thm)],['0.30.2.0'])).
% 2.69/3.08 cnf('0.32.0.1',plain,
% 2.69/3.08 ( composition(one,X1) = X1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.32.0.0','0.31.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.32.1.0',plain,
% 2.69/3.08 ( composition(one,X1) = X1 ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.32.0.1']),
% 2.69/3.08 [weight('<19,30,31,[0,0,0,0]>')]).
% 2.69/3.08 cnf('0.32.2.0',plain,
% 2.69/3.08 ( composition(one,X1) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_30]).
% 2.69/3.08 cnf('0.33.0.0',plain,
% 2.69/3.08 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.9.2.0','0.31.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.33.1.0',plain,
% 2.69/3.08 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.33.0.0']),
% 2.69/3.08 [weight('<44,31,9,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.33.2.0',plain,
% 2.69/3.08 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_31]).
% 2.69/3.08 cnf('0.35.0.0',plain,
% 2.69/3.08 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.8.2.0','0.32.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.2.1','L')]).
% 2.69/3.08 cnf('0.35.0.1',plain,
% 2.69/3.08 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.35.0.0','0.31.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.2.1','L')]).
% 2.69/3.08 cnf('0.35.0.2',plain,
% 2.69/3.08 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.35.0.1','0.32.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.2','L')]).
% 2.69/3.08 cnf('0.35.1.0',plain,
% 2.69/3.08 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.35.0.2']),
% 2.69/3.08 [weight('<47,32,8,[0,0,0,7]>')]).
% 2.69/3.08 cnf('0.35.2.0',plain,
% 2.69/3.08 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_33]).
% 2.69/3.08 cnf('0.36.0.0',plain,
% 2.69/3.08 ( complement(top) = join(zero,complement(top)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.35.2.0','0.15.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.36.0.1',plain,
% 2.69/3.08 ( zero = join(zero,complement(top)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.36.0.0','0.15.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.36.0.2',plain,
% 2.69/3.08 ( zero = join(zero,zero) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.36.0.1','0.15.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.2','L')]).
% 2.69/3.08 cnf('0.36.1.0',plain,
% 2.69/3.08 ( zero = join(zero,zero) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.36.0.2']),
% 2.69/3.08 [weight('<19,35,15,[1,0,0,1]>')]).
% 2.69/3.08 cnf('0.36.2.0',plain,
% 2.69/3.08 ( join(zero,zero) = zero ),
% 2.69/3.08 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_34]).
% 2.69/3.08 cnf('0.39.0.0',plain,
% 2.69/3.08 ( meet(X1,X1) = complement(complement(X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.10.2.0','0.35.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.39.1.0',plain,
% 2.69/3.08 ( meet(X1,X1) = complement(complement(X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.39.0.0']),
% 2.69/3.08 [weight('<48,35,10,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.39.2.0',plain,
% 2.69/3.08 ( meet(X1,X1) = complement(complement(X1)) ),
% 2.69/3.08 inference(activate,[status(thm)],['0.39.1.0']),
% 2.69/3.08 [equation_3]).
% 2.69/3.08 cnf('0.40.0.0',plain,
% 2.69/3.08 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.5.2.0','0.36.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.40.1.0',plain,
% 2.69/3.08 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.40.0.0']),
% 2.69/3.08 [weight('<53,36,5,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.40.2.0',plain,
% 2.69/3.08 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_37]).
% 2.69/3.08 cnf('0.41.0.0',plain,
% 2.69/3.08 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.40.2.0','0.4.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.41.1.0',plain,
% 2.69/3.08 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.41.0.0']),
% 2.69/3.08 [weight('<53,40,4,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.41.2.0',plain,
% 2.69/3.08 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_38]).
% 2.69/3.08 cnf('0.44.0.0',plain,
% 2.69/3.08 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.26.2.0','0.6.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.44.1.0',plain,
% 2.69/3.08 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.44.0.0']),
% 2.69/3.08 [weight('<62,26,6,[1,0,0,1]>')]).
% 2.69/3.08 cnf('0.44.2.0',plain,
% 2.69/3.08 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_41]).
% 2.69/3.08 cnf('0.50.0.0',plain,
% 2.69/3.08 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.7.2.0','0.32.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.50.1.0',plain,
% 2.69/3.08 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.50.0.0']),
% 2.69/3.08 [weight('<65,32,7,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.50.2.0',plain,
% 2.69/3.08 ( join(X1,composition(X2,X1)) = composition(join(one,X2),X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_47]).
% 2.69/3.08 cnf('0.51.0.0',plain,
% 2.69/3.08 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.51.1.0',plain,
% 2.69/3.08 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.51.0.0']),
% 2.69/3.08 [weight('<69,6,5,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.51.2.0',plain,
% 2.69/3.08 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_48]).
% 2.69/3.08 cnf('0.52.0.0',plain,
% 2.69/3.08 ( join(top,complement(X1)) = join(X1,complement(X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.51.2.0','0.35.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.52.0.1',plain,
% 2.69/3.08 ( join(top,complement(X1)) = top ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.52.0.0','0.6.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.52.1.0',plain,
% 2.69/3.08 ( join(top,complement(X1)) = top ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.52.0.1']),
% 2.69/3.08 [weight('<29,51,35,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.52.2.0',plain,
% 2.69/3.08 ( join(top,complement(X1)) = top ),
% 2.69/3.08 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_49]).
% 2.69/3.08 cnf('0.55.0.0',plain,
% 2.69/3.08 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.51.2.0','0.6.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.55.1.0',plain,
% 2.69/3.08 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.55.0.0']),
% 2.69/3.08 [weight('<53,51,6,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.55.1.1',plain,
% 2.69/3.08 ( top = join(X1,top) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.55.1.0','0.52.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.55.2.0',plain,
% 2.69/3.08 ( join(X1,top) = top ),
% 2.69/3.08 inference(orient,[status(thm)],['0.55.1.1',theory(equality)]),
% 2.69/3.08 [x,rule_52]).
% 2.69/3.08 cnf('0.56.0.0',plain,
% 2.69/3.08 ( join(zero,join(X1,top)) = join(top,X1) ),
% 2.69/3.08 inference(interreduction_right,[status(thm)],['0.25.2.0'])).
% 2.69/3.08 cnf('0.56.0.1',plain,
% 2.69/3.08 ( join(zero,top) = join(top,X1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.56.0.0','0.55.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.56.0.2',plain,
% 2.69/3.08 ( top = join(top,X1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.56.0.1','0.55.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.56.1.0',plain,
% 2.69/3.08 ( top = join(top,X1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.56.0.2']),
% 2.69/3.08 [weight('<19,25,55,[0,0,0,0]>')]).
% 2.69/3.08 cnf('0.56.2.0',plain,
% 2.69/3.08 ( join(top,X1) = top ),
% 2.69/3.08 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_53]).
% 2.69/3.08 cnf('0.57.0.0',plain,
% 2.69/3.08 ( top = converse(top) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.56.2.0','0.44.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.57.1.0',plain,
% 2.69/3.08 ( top = converse(top) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.57.0.0']),
% 2.69/3.08 [weight('<11,56,44,[1,0,0,0]>')]).
% 2.69/3.08 cnf('0.57.2.0',plain,
% 2.69/3.08 ( converse(top) = top ),
% 2.69/3.08 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_54]).
% 2.69/3.08 cnf('0.59.0.0',plain,
% 2.69/3.08 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 2.69/3.08 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 2.69/3.08 cnf('0.59.1.0',plain,
% 2.69/3.08 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.59.0.0']),
% 2.69/3.08 [weight('<?,1,4,[0,0,0,0]>')]).
% 2.69/3.08 cnf('0.59.1.1',plain,
% 2.69/3.08 ( join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.59.1.0','0.4.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.59.1.2',plain,
% 2.69/3.08 ( join(complement(join(complement(X1),X2)),meet(X1,X2)) = X1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.59.1.1','0.10.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.59.1.3',plain,
% 2.69/3.08 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.59.1.2','0.4.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.59.2.0',plain,
% 2.69/3.08 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.59.1.3',theory(equality)]),
% 2.69/3.08 [u,rule_56]).
% 2.69/3.08 cnf('0.61.0.0',plain,
% 2.69/3.08 ( top = composition(join(one,X1),top) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.56.2.0','0.50.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.61.1.0',plain,
% 2.69/3.08 ( top = composition(join(one,X1),top) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.61.0.0']),
% 2.69/3.08 [weight('<41,56,50,[1,0,0,0]>')]).
% 2.69/3.08 cnf('0.61.2.0',plain,
% 2.69/3.08 ( composition(join(one,X1),top) = top ),
% 2.69/3.08 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_58]).
% 2.69/3.08 cnf('0.62.0.0',plain,
% 2.69/3.08 ( top = composition(top,top) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.61.2.0','0.6.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.62.1.0',plain,
% 2.69/3.08 ( top = composition(top,top) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.62.0.0']),
% 2.69/3.08 [weight('<19,61,6,[1,0,0,1]>')]).
% 2.69/3.08 cnf('0.62.2.0',plain,
% 2.69/3.08 ( composition(top,top) = top ),
% 2.69/3.08 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_59]).
% 2.69/3.08 cnf('0.63.0.0',plain,
% 2.69/3.08 ( complement(top) = join(complement(top),composition(converse(top),complement(top))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.8.2.0','0.62.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.2.1','L')]).
% 2.69/3.08 cnf('0.63.0.1',plain,
% 2.69/3.08 ( zero = join(complement(top),composition(converse(top),complement(top))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.63.0.0','0.15.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.63.0.2',plain,
% 2.69/3.08 ( zero = composition(join(one,converse(top)),complement(top)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.63.0.1','0.50.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.63.0.3',plain,
% 2.69/3.08 ( zero = composition(join(one,top),complement(top)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.63.0.2','0.57.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.1.2','L')]).
% 2.69/3.08 cnf('0.63.0.4',plain,
% 2.69/3.08 ( zero = composition(top,complement(top)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.63.0.3','0.55.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.1','L')]).
% 2.69/3.08 cnf('0.63.0.5',plain,
% 2.69/3.08 ( zero = composition(top,zero) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.63.0.4','0.15.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.2','L')]).
% 2.69/3.08 cnf('0.63.1.0',plain,
% 2.69/3.08 ( zero = composition(top,zero) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.63.0.5']),
% 2.69/3.08 [weight('<19,62,8,[0,0,0,7]>')]).
% 2.69/3.08 cnf('0.63.2.0',plain,
% 2.69/3.08 ( composition(top,zero) = zero ),
% 2.69/3.08 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_60]).
% 2.69/3.08 cnf('0.65.0.0',plain,
% 2.69/3.08 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.59.2.0','0.14.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.65.0.1',plain,
% 2.69/3.08 ( X1 = join(zero,meet(X1,X1)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.65.0.0','0.10.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.2','L')]).
% 2.69/3.08 cnf('0.65.1.0',plain,
% 2.69/3.08 ( X1 = join(zero,meet(X1,X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.65.0.1']),
% 2.69/3.08 [weight('<41,59,14,[1,0,0,1]>')]).
% 2.69/3.08 cnf('0.65.2.0',plain,
% 2.69/3.08 ( join(zero,meet(X1,X1)) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_62]).
% 2.69/3.08 cnf('0.66.0.0',plain,
% 2.69/3.08 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.40.2.0','0.65.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.66.0.1',plain,
% 2.69/3.08 ( X1 = join(zero,X1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.66.0.0','0.65.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.66.1.0',plain,
% 2.69/3.08 ( X1 = join(zero,X1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.66.0.1']),
% 2.69/3.08 [weight('<19,65,40,[0,0,0,2]>')]).
% 2.69/3.08 cnf('0.66.2.0',plain,
% 2.69/3.08 ( join(zero,X1) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_63]).
% 2.69/3.08 cnf('0.67.0.0',plain,
% 2.69/3.08 ( complement(zero) = top ),
% 2.69/3.08 inference(cp,[status(thm)],['0.66.2.0','0.6.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.67.1.0',plain,
% 2.69/3.08 ( complement(zero) = top ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.67.0.0']),
% 2.69/3.08 [weight('<11,66,6,[1,0,0,0]>')]).
% 2.69/3.08 cnf('0.67.2.0',plain,
% 2.69/3.08 ( complement(zero) = top ),
% 2.69/3.08 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_64]).
% 2.69/3.08 cnf('0.69.0.0',plain,
% 2.69/3.08 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 2.69/3.08 inference(interreduction_right,[status(thm)],['0.41.2.0'])).
% 2.69/3.08 cnf('0.69.0.1',plain,
% 2.69/3.08 ( join(X1,zero) = join(zero,X1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.69.0.0','0.66.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.69.0.2',plain,
% 2.69/3.08 ( join(X1,zero) = X1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.69.0.1','0.66.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.69.1.0',plain,
% 2.69/3.08 ( join(X1,zero) = X1 ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.69.0.2']),
% 2.69/3.08 [weight('<19,41,66,[0,0,0,0]>')]).
% 2.69/3.08 cnf('0.69.2.0',plain,
% 2.69/3.08 ( join(X1,zero) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_66]).
% 2.69/3.08 cnf('0.70.0.0',plain,
% 2.69/3.08 ( join(zero,meet(X1,X1)) = X1 ),
% 2.69/3.08 inference(interreduction_right,[status(thm)],['0.65.2.0'])).
% 2.69/3.08 cnf('0.70.0.1',plain,
% 2.69/3.08 ( meet(X1,X1) = X1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.70.0.0','0.66.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.70.1.0',plain,
% 2.69/3.08 ( meet(X1,X1) = X1 ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.70.0.1']),
% 2.69/3.08 [weight('<19,65,66,[0,0,0,0]>')]).
% 2.69/3.08 cnf('0.70.2.0',plain,
% 2.69/3.08 ( meet(X1,X1) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_67]).
% 2.69/3.08 cnf('0.71.0.0',plain,
% 2.69/3.08 ( meet(X1,X1) = complement(complement(X1)) ),
% 2.69/3.08 inference(interreduction_right,[status(thm)],['0.39.2.0'])).
% 2.69/3.08 cnf('0.71.0.1',plain,
% 2.69/3.08 ( X1 = complement(complement(X1)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.71.0.0','0.70.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.71.1.0',plain,
% 2.69/3.08 ( X1 = complement(complement(X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.71.0.1']),
% 2.69/3.08 [weight('<19,39,70,[0,0,0,0]>')]).
% 2.69/3.08 cnf('0.71.2.0',plain,
% 2.69/3.08 ( complement(complement(X1)) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_68]).
% 2.69/3.08 cnf('0.74.0.0',plain,
% 2.69/3.08 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.35.2.0','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.74.0.1',plain,
% 2.69/3.08 ( X1 = join(X1,complement(complement(X1))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.74.0.0','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.74.0.2',plain,
% 2.69/3.08 ( X1 = join(X1,X1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.74.0.1','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.2','L')]).
% 2.69/3.08 cnf('0.74.1.0',plain,
% 2.69/3.08 ( X1 = join(X1,X1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.74.0.2']),
% 2.69/3.08 [weight('<19,71,35,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.74.2.0',plain,
% 2.69/3.08 ( join(X1,X1) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_71]).
% 2.69/3.08 cnf('0.75.0.0',plain,
% 2.69/3.08 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 2.69/3.08 inference(interreduction_right,[status(thm)],['0.22.2.0'])).
% 2.69/3.08 cnf('0.75.0.1',plain,
% 2.69/3.08 ( complement(complement(X1)) = meet(top,X1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.75.0.0','0.66.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.75.1.0',plain,
% 2.69/3.08 ( complement(complement(X1)) = meet(top,X1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.75.0.1']),
% 2.69/3.08 [weight('<27,22,66,[0,0,0,0]>')]).
% 2.69/3.08 cnf('0.75.1.1',plain,
% 2.69/3.08 ( X1 = meet(top,X1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.75.1.0','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.75.2.0',plain,
% 2.69/3.08 ( meet(top,X1) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.75.1.1',theory(equality)]),
% 2.69/3.08 [x,rule_72]).
% 2.69/3.08 cnf('0.76.0.0',plain,
% 2.69/3.08 ( X1 = meet(X1,top) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.75.2.0','0.18.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.76.1.0',plain,
% 2.69/3.08 ( X1 = meet(X1,top) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.76.0.0']),
% 2.69/3.08 [weight('<19,75,18,[1,0,0,0]>')]).
% 2.69/3.08 cnf('0.76.2.0',plain,
% 2.69/3.08 ( meet(X1,top) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_73]).
% 2.69/3.08 cnf('0.77.0.0',plain,
% 2.69/3.08 ( join(converse(zero),X1) = converse(converse(X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.27.2.0','0.66.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.77.0.1',plain,
% 2.69/3.08 ( join(converse(zero),X1) = X1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.77.0.0','0.3.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.77.1.0',plain,
% 2.69/3.08 ( join(converse(zero),X1) = X1 ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.77.0.1']),
% 2.69/3.08 [weight('<29,66,27,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.77.2.0',plain,
% 2.69/3.08 ( join(converse(zero),X1) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_74]).
% 2.69/3.08 cnf('0.78.0.0',plain,
% 2.69/3.08 ( zero = converse(zero) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.77.2.0','0.69.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.78.1.0',plain,
% 2.69/3.08 ( zero = converse(zero) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.78.0.0']),
% 2.69/3.08 [weight('<11,77,69,[1,0,0,0]>')]).
% 2.69/3.08 cnf('0.78.2.0',plain,
% 2.69/3.08 ( converse(zero) = zero ),
% 2.69/3.08 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_75]).
% 2.69/3.08 cnf('0.80.0.0',plain,
% 2.69/3.08 ( composition(join(top,X1),zero) = join(zero,composition(X1,zero)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.7.2.0','0.63.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.80.0.1',plain,
% 2.69/3.08 ( composition(top,zero) = join(zero,composition(X1,zero)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.80.0.0','0.56.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.80.0.2',plain,
% 2.69/3.08 ( zero = join(zero,composition(X1,zero)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.80.0.1','0.63.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.80.0.3',plain,
% 2.69/3.08 ( zero = composition(join(one,X1),zero) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.80.0.2','0.50.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.80.1.0',plain,
% 2.69/3.08 ( zero = composition(join(one,X1),zero) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.80.0.3']),
% 2.69/3.08 [weight('<41,63,7,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.80.2.0',plain,
% 2.69/3.08 ( composition(join(one,X1),zero) = zero ),
% 2.69/3.08 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_77]).
% 2.69/3.08 cnf('0.81.0.0',plain,
% 2.69/3.08 ( composition(join(join(one,X1),X2),zero) = join(zero,composition(X2,zero)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.7.2.0','0.80.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.81.0.1',plain,
% 2.69/3.08 ( composition(join(one,join(X1,X2)),zero) = join(zero,composition(X2,zero)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.81.0.0','0.5.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.81.0.2',plain,
% 2.69/3.08 ( zero = join(zero,composition(X2,zero)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.81.0.1','0.80.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.81.0.3',plain,
% 2.69/3.08 ( zero = composition(X2,zero) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.81.0.2','0.66.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.81.1.0',plain,
% 2.69/3.08 ( zero = composition(X2,zero) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.81.0.3']),
% 2.69/3.08 [weight('<19,80,7,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.81.2.0',plain,
% 2.69/3.08 ( composition(X1,zero) = zero ),
% 2.69/3.08 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_78]).
% 2.69/3.08 cnf('0.82.0.0',plain,
% 2.69/3.08 ( composition(converse(zero),X1) = converse(zero) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.29.2.0','0.81.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.82.0.1',plain,
% 2.69/3.08 ( composition(zero,X1) = converse(zero) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.82.0.0','0.78.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.82.0.2',plain,
% 2.69/3.08 ( composition(zero,X1) = zero ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.82.0.1','0.78.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.82.1.0',plain,
% 2.69/3.08 ( composition(zero,X1) = zero ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.82.0.2']),
% 2.69/3.08 [weight('<19,81,29,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.82.2.0',plain,
% 2.69/3.08 ( composition(zero,X1) = zero ),
% 2.69/3.08 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_79]).
% 2.69/3.08 cnf('0.83.0.0',plain,
% 2.69/3.08 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.12.2.0','0.57.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.83.1.0',plain,
% 2.69/3.08 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.83.0.0']),
% 2.69/3.08 [weight('<44,57,12,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.83.2.0',plain,
% 2.69/3.08 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_80]).
% 2.69/3.08 cnf('0.84.0.0',plain,
% 2.69/3.08 ( composition(top,converse(sk1)) = converse(sk1) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.83.2.0','0.13.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.84.1.0',plain,
% 2.69/3.08 ( composition(top,converse(sk1)) = converse(sk1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.84.0.0']),
% 2.69/3.08 [weight('<34,83,13,[1,0,0,1]>')]).
% 2.69/3.08 cnf('0.84.2.0',plain,
% 2.69/3.08 ( composition(top,converse(sk1)) = converse(sk1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_81]).
% 2.69/3.08 cnf('0.85.0.0',plain,
% 2.69/3.08 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.12.2.0','0.57.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.85.1.0',plain,
% 2.69/3.08 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.85.0.0']),
% 2.69/3.08 [weight('<44,57,12,[0,0,0,3]>')]).
% 2.69/3.08 cnf('0.85.2.0',plain,
% 2.69/3.08 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_82]).
% 2.69/3.08 cnf('0.87.0.0',plain,
% 2.69/3.08 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.5.2.0','0.74.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.87.1.0',plain,
% 2.69/3.08 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.87.0.0']),
% 2.69/3.08 [weight('<53,74,5,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.87.2.0',plain,
% 2.69/3.08 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_84]).
% 2.69/3.08 cnf('0.88.0.0',plain,
% 2.69/3.08 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.87.2.0','0.59.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.88.0.1',plain,
% 2.69/3.08 ( X1 = join(meet(X1,X2),X1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.88.0.0','0.59.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.88.1.0',plain,
% 2.69/3.08 ( X1 = join(meet(X1,X2),X1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.88.0.1']),
% 2.69/3.08 [weight('<41,87,59,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.88.1.1',plain,
% 2.69/3.08 ( X1 = join(X1,meet(X1,X2)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.88.1.0','0.4.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.88.2.0',plain,
% 2.69/3.08 ( join(X1,meet(X1,X2)) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.88.1.1',theory(equality)]),
% 2.69/3.08 [x,rule_85]).
% 2.69/3.08 cnf('0.89.0.0',plain,
% 2.69/3.08 ( X1 = join(X1,meet(X2,X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.88.2.0','0.18.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.89.1.0',plain,
% 2.69/3.08 ( X1 = join(X1,meet(X2,X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.89.0.0']),
% 2.69/3.08 [weight('<41,88,18,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.89.2.0',plain,
% 2.69/3.08 ( join(X1,meet(X2,X1)) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_86]).
% 2.69/3.08 cnf('0.90.0.0',plain,
% 2.69/3.08 ( complement(converse(sk1)) = join(complement(converse(sk1)),composition(converse(top),complement(converse(sk1)))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.8.2.0','0.84.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.2.1','L')]).
% 2.69/3.08 cnf('0.90.0.1',plain,
% 2.69/3.08 ( complement(converse(sk1)) = composition(join(one,converse(top)),complement(converse(sk1))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.90.0.0','0.50.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.90.0.2',plain,
% 2.69/3.08 ( complement(converse(sk1)) = composition(join(one,top),complement(converse(sk1))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.90.0.1','0.57.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.1.2','L')]).
% 2.69/3.08 cnf('0.90.0.3',plain,
% 2.69/3.08 ( complement(converse(sk1)) = composition(top,complement(converse(sk1))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.90.0.2','0.55.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.1','L')]).
% 2.69/3.08 cnf('0.90.1.0',plain,
% 2.69/3.08 ( complement(converse(sk1)) = composition(top,complement(converse(sk1))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.90.0.3']),
% 2.69/3.08 [weight('<53,84,8,[0,0,0,7]>')]).
% 2.69/3.08 cnf('0.90.2.0',plain,
% 2.69/3.08 ( composition(top,complement(converse(sk1))) = complement(converse(sk1)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_87]).
% 2.69/3.08 cnf('0.91.0.0',plain,
% 2.69/3.08 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.87.2.0','0.4.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.91.1.0',plain,
% 2.69/3.08 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.91.0.0']),
% 2.69/3.08 [weight('<53,87,4,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.91.2.0',plain,
% 2.69/3.08 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.91.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_88]).
% 2.69/3.08 cnf('0.92.0.0',plain,
% 2.69/3.08 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 2.69/3.08 inference(interreduction_right,[status(thm)],['0.44.2.0'])).
% 2.69/3.08 cnf('0.92.0.1',plain,
% 2.69/3.08 ( join(X1,converse(complement(converse(X1)))) = top ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.92.0.0','0.57.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.92.1.0',plain,
% 2.69/3.08 ( join(X1,converse(complement(converse(X1)))) = top ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.92.0.1']),
% 2.69/3.08 [weight('<55,44,57,[0,0,0,0]>')]).
% 2.69/3.08 cnf('0.92.2.0',plain,
% 2.69/3.08 ( join(X1,converse(complement(converse(X1)))) = top ),
% 2.69/3.08 inference(orient,[status(thm)],['0.92.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_89]).
% 2.69/3.08 cnf('0.93.0.0',plain,
% 2.69/3.08 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 2.69/3.08 inference(interreduction_right,[status(thm)],['0.51.2.0'])).
% 2.69/3.08 cnf('0.93.0.1',plain,
% 2.69/3.08 ( join(X1,join(complement(X1),X2)) = top ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.93.0.0','0.56.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.93.1.0',plain,
% 2.69/3.08 ( join(X1,join(complement(X1),X2)) = top ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.93.0.1']),
% 2.69/3.08 [weight('<55,51,56,[0,0,0,0]>')]).
% 2.69/3.08 cnf('0.93.2.0',plain,
% 2.69/3.08 ( join(X1,join(complement(X1),X2)) = top ),
% 2.69/3.08 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_90]).
% 2.69/3.08 cnf('0.94.0.0',plain,
% 2.69/3.08 ( X1 = join(meet(X1,join(complement(complement(X1)),X2)),complement(top)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.59.2.0','0.93.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.1','L')]).
% 2.69/3.08 cnf('0.94.0.1',plain,
% 2.69/3.08 ( X1 = join(meet(X1,join(X1,X2)),complement(top)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.94.0.0','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.1.2.1','L')]).
% 2.69/3.08 cnf('0.94.0.2',plain,
% 2.69/3.08 ( X1 = join(meet(X1,join(X1,X2)),zero) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.94.0.1','0.15.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.2','L')]).
% 2.69/3.08 cnf('0.94.0.3',plain,
% 2.69/3.08 ( X1 = meet(X1,join(X1,X2)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.94.0.2','0.69.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.94.1.0',plain,
% 2.69/3.08 ( X1 = meet(X1,join(X1,X2)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.94.0.3']),
% 2.69/3.08 [weight('<41,93,59,[0,0,0,5]>')]).
% 2.69/3.08 cnf('0.94.2.0',plain,
% 2.69/3.08 ( meet(X1,join(X1,X2)) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_91]).
% 2.69/3.08 cnf('0.95.0.0',plain,
% 2.69/3.08 ( X1 = meet(X1,join(X2,X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.94.2.0','0.4.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.95.1.0',plain,
% 2.69/3.08 ( X1 = meet(X1,join(X2,X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.95.0.0']),
% 2.69/3.08 [weight('<41,94,4,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.95.2.0',plain,
% 2.69/3.08 ( meet(X1,join(X2,X1)) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_92]).
% 2.69/3.08 cnf('0.98.0.0',plain,
% 2.69/3.08 ( composition(top,converse(join(one,X1))) = converse(top) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.83.2.0','0.61.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.98.0.1',plain,
% 2.69/3.08 ( composition(top,join(one,converse(X1))) = converse(top) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.98.0.0','0.33.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.98.0.2',plain,
% 2.69/3.08 ( composition(top,join(one,converse(X1))) = top ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.98.0.1','0.57.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.98.1.0',plain,
% 2.69/3.08 ( composition(top,join(one,converse(X1))) = top ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.98.0.2']),
% 2.69/3.08 [weight('<55,83,61,[1,0,0,1]>')]).
% 2.69/3.08 cnf('0.98.2.0',plain,
% 2.69/3.08 ( composition(top,join(one,converse(X1))) = top ),
% 2.69/3.08 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_95]).
% 2.69/3.08 cnf('0.99.0.0',plain,
% 2.69/3.08 ( top = composition(top,join(one,X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.98.2.0','0.3.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.2','L')]).
% 2.69/3.08 cnf('0.99.1.0',plain,
% 2.69/3.08 ( top = composition(top,join(one,X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.99.0.0']),
% 2.69/3.08 [weight('<41,98,3,[1,0,0,4]>')]).
% 2.69/3.08 cnf('0.99.2.0',plain,
% 2.69/3.08 ( composition(top,join(one,X1)) = top ),
% 2.69/3.08 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_96]).
% 2.69/3.08 cnf('0.101.0.0',plain,
% 2.69/3.08 ( composition(sk1,join(one,X1)) = composition(sk1,top) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.21.2.0','0.99.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.101.0.1',plain,
% 2.69/3.08 ( composition(sk1,join(one,X1)) = sk1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.101.0.0','0.13.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.101.1.0',plain,
% 2.69/3.08 ( composition(sk1,join(one,X1)) = sk1 ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.101.0.1']),
% 2.69/3.08 [weight('<41,99,21,[0,0,0,2]>')]).
% 2.69/3.08 cnf('0.101.2.0',plain,
% 2.69/3.08 ( composition(sk1,join(one,X1)) = sk1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_98]).
% 2.69/3.08 cnf('0.107.0.0',plain,
% 2.69/3.08 ( join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),top) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.91.2.0','0.93.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.107.0.1',plain,
% 2.69/3.08 ( join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),top) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.107.0.0','0.5.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.107.0.2',plain,
% 2.69/3.08 ( join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,top)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.107.0.1','0.5.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.107.0.3',plain,
% 2.69/3.08 ( join(complement(X1),join(X2,X1)) = join(complement(X1),top) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.107.0.2','0.55.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.2','L')]).
% 2.69/3.08 cnf('0.107.0.4',plain,
% 2.69/3.08 ( join(complement(X1),join(X2,X1)) = top ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.107.0.3','0.55.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.107.1.0',plain,
% 2.69/3.08 ( join(complement(X1),join(X2,X1)) = top ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.107.0.4']),
% 2.69/3.08 [weight('<55,93,91,[0,0,0,2]>')]).
% 2.69/3.08 cnf('0.107.2.0',plain,
% 2.69/3.08 ( join(complement(X1),join(X2,X1)) = top ),
% 2.69/3.08 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_104]).
% 2.69/3.08 cnf('0.109.0.0',plain,
% 2.69/3.08 ( top = join(complement(meet(X1,X2)),X2) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.107.2.0','0.89.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.109.1.0',plain,
% 2.69/3.08 ( top = join(complement(meet(X1,X2)),X2) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.109.0.0']),
% 2.69/3.08 [weight('<55,107,89,[1,0,0,3]>')]).
% 2.69/3.08 cnf('0.109.1.1',plain,
% 2.69/3.08 ( top = join(X2,complement(meet(X1,X2))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.109.1.0','0.4.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.109.2.0',plain,
% 2.69/3.08 ( join(X1,complement(meet(X2,X1))) = top ),
% 2.69/3.08 inference(orient,[status(thm)],['0.109.1.1',theory(equality)]),
% 2.69/3.08 [x,rule_106]).
% 2.69/3.08 cnf('0.112.0.0',plain,
% 2.69/3.08 ( meet(X1,meet(X2,complement(X1))) = complement(top) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.10.2.0','0.109.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.112.0.1',plain,
% 2.69/3.08 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.112.0.0','0.15.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.112.1.0',plain,
% 2.69/3.08 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.112.0.1']),
% 2.69/3.08 [weight('<55,109,10,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.112.2.0',plain,
% 2.69/3.08 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 2.69/3.08 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_108]).
% 2.69/3.08 cnf('0.114.0.0',plain,
% 2.69/3.08 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.112.2.0','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.2','L')]).
% 2.69/3.08 cnf('0.114.1.0',plain,
% 2.69/3.08 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.114.0.0']),
% 2.69/3.08 [weight('<55,112,71,[1,0,0,4]>')]).
% 2.69/3.08 cnf('0.114.2.0',plain,
% 2.69/3.08 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 2.69/3.08 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_110]).
% 2.69/3.08 cnf('0.117.0.0',plain,
% 2.69/3.08 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.10.2.0','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1.1','L')]).
% 2.69/3.08 cnf('0.117.1.0',plain,
% 2.69/3.08 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.117.0.0']),
% 2.69/3.08 [weight('<59,71,10,[0,0,0,2]>')]).
% 2.69/3.08 cnf('0.117.2.0',plain,
% 2.69/3.08 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.117.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_113]).
% 2.69/3.08 cnf('0.118.0.0',plain,
% 2.69/3.08 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.117.2.0','0.4.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.118.1.0',plain,
% 2.69/3.08 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.118.0.0']),
% 2.69/3.08 [weight('<59,117,4,[1,0,0,1]>')]).
% 2.69/3.08 cnf('0.118.2.0',plain,
% 2.69/3.08 ( complement(join(complement(X1),X2)) = meet(complement(X2),X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.118.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_114]).
% 2.69/3.08 cnf('0.119.0.0',plain,
% 2.69/3.08 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.71.2.0','0.117.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.119.1.0',plain,
% 2.69/3.08 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.119.0.0']),
% 2.69/3.08 [weight('<59,117,71,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.119.2.0',plain,
% 2.69/3.08 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.119.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_115]).
% 2.69/3.08 cnf('0.121.0.0',plain,
% 2.69/3.08 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.119.2.0','0.18.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.121.1.0',plain,
% 2.69/3.08 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.121.0.0']),
% 2.69/3.08 [weight('<59,119,18,[1,0,0,1]>')]).
% 2.69/3.08 cnf('0.121.2.0',plain,
% 2.69/3.08 ( complement(meet(X1,complement(X2))) = join(X2,complement(X1)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.121.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_117]).
% 2.69/3.08 cnf('0.122.0.0',plain,
% 2.69/3.08 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.119.2.0','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1.1','L')]).
% 2.69/3.08 cnf('0.122.1.0',plain,
% 2.69/3.08 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.122.0.0']),
% 2.69/3.08 [weight('<59,119,71,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.122.2.0',plain,
% 2.69/3.08 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.122.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_118]).
% 2.69/3.08 cnf('0.132.0.0',plain,
% 2.69/3.08 ( X1 = meet(X1,composition(join(one,X2),X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.94.2.0','0.50.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.132.1.0',plain,
% 2.69/3.08 ( X1 = meet(X1,composition(join(one,X2),X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.132.0.0']),
% 2.69/3.08 [weight('<71,94,50,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.132.2.0',plain,
% 2.69/3.08 ( meet(X1,composition(join(one,X2),X1)) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_128]).
% 2.69/3.08 cnf('0.133.0.0',plain,
% 2.69/3.08 ( X1 = meet(X1,composition(top,X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.132.2.0','0.6.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.1','L')]).
% 2.69/3.08 cnf('0.133.1.0',plain,
% 2.69/3.08 ( X1 = meet(X1,composition(top,X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.133.0.0']),
% 2.69/3.08 [weight('<41,132,6,[1,0,0,3]>')]).
% 2.69/3.08 cnf('0.133.2.0',plain,
% 2.69/3.08 ( meet(X1,composition(top,X1)) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.133.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_129]).
% 2.69/3.08 cnf('0.157.0.0',plain,
% 2.69/3.08 ( composition(converse(complement(converse(sk1))),top) = converse(complement(converse(sk1))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.85.2.0','0.90.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.157.1.0',plain,
% 2.69/3.08 ( composition(converse(complement(converse(sk1))),top) = converse(complement(converse(sk1))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.157.0.0']),
% 2.69/3.08 [weight('<76,90,85,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.157.2.0',plain,
% 2.69/3.08 ( composition(converse(complement(converse(sk1))),top) = converse(complement(converse(sk1))) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_153]).
% 2.69/3.08 cnf('0.166.0.0',plain,
% 2.69/3.08 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.5.2.0','0.88.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.166.1.0',plain,
% 2.69/3.08 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.166.0.0']),
% 2.69/3.08 [weight('<87,88,5,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.166.2.0',plain,
% 2.69/3.08 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.166.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_161]).
% 2.69/3.08 cnf('0.168.0.0',plain,
% 2.69/3.08 ( join(X1,meet(X2,meet(X1,X3))) = join(X1,meet(X1,X3)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.166.2.0','0.89.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.168.0.1',plain,
% 2.69/3.08 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.168.0.0','0.88.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.168.1.0',plain,
% 2.69/3.08 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.168.0.1']),
% 2.69/3.08 [weight('<71,166,89,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.168.2.0',plain,
% 2.69/3.08 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.168.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_163]).
% 2.69/3.08 cnf('0.170.0.0',plain,
% 2.69/3.08 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.168.2.0','0.18.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.2','L')]).
% 2.69/3.08 cnf('0.170.1.0',plain,
% 2.69/3.08 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.170.0.0']),
% 2.69/3.08 [weight('<71,168,18,[1,0,0,4]>')]).
% 2.69/3.08 cnf('0.170.2.0',plain,
% 2.69/3.08 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.170.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_165]).
% 2.69/3.08 cnf('0.171.0.0',plain,
% 2.69/3.08 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.5.2.0','0.89.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.171.1.0',plain,
% 2.69/3.08 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.171.0.0']),
% 2.69/3.08 [weight('<87,89,5,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.171.2.0',plain,
% 2.69/3.08 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.171.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_166]).
% 2.69/3.08 cnf('0.174.0.0',plain,
% 2.69/3.08 ( composition(top,composition(join(one,X1),X2)) = composition(top,X2) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.11.2.0','0.99.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.174.1.0',plain,
% 2.69/3.08 ( composition(top,composition(join(one,X1),X2)) = composition(top,X2) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.174.0.0']),
% 2.69/3.08 [weight('<87,99,11,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.174.2.0',plain,
% 2.69/3.08 ( composition(top,composition(join(one,X1),X2)) = composition(top,X2) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.174.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_169]).
% 2.69/3.08 cnf('0.187.0.0',plain,
% 2.69/3.08 ( composition(top,X1) = join(composition(top,X1),meet(X2,X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.170.2.0','0.133.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.2','L')]).
% 2.69/3.08 cnf('0.187.1.0',plain,
% 2.69/3.08 ( composition(top,X1) = join(composition(top,X1),meet(X2,X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.187.0.0']),
% 2.69/3.08 [weight('<87,170,133,[1,0,0,4]>')]).
% 2.69/3.08 cnf('0.187.2.0',plain,
% 2.69/3.08 ( join(composition(top,X1),meet(X2,X1)) = composition(top,X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_182]).
% 2.69/3.08 cnf('0.195.0.0',plain,
% 2.69/3.08 ( meet(X1,X2) = meet(meet(X1,X2),composition(top,X2)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.95.2.0','0.187.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.195.1.0',plain,
% 2.69/3.08 ( meet(X1,X2) = meet(meet(X1,X2),composition(top,X2)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.195.0.0']),
% 2.69/3.08 [weight('<87,187,95,[0,0,0,2]>')]).
% 2.69/3.08 cnf('0.195.2.0',plain,
% 2.69/3.08 ( meet(meet(X1,X2),composition(top,X2)) = meet(X1,X2) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.195.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_190]).
% 2.69/3.08 cnf('0.197.0.0',plain,
% 2.69/3.08 ( meet(X1,join(X2,X1)) = meet(X1,composition(top,join(X2,X1))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.195.2.0','0.95.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.197.0.1',plain,
% 2.69/3.08 ( X1 = meet(X1,composition(top,join(X2,X1))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.197.0.0','0.95.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.197.1.0',plain,
% 2.69/3.08 ( X1 = meet(X1,composition(top,join(X2,X1))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.197.0.1']),
% 2.69/3.08 [weight('<71,195,95,[1,0,0,1]>')]).
% 2.69/3.08 cnf('0.197.2.0',plain,
% 2.69/3.08 ( meet(X1,composition(top,join(X2,X1))) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.197.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_192]).
% 2.69/3.08 cnf('0.201.0.0',plain,
% 2.69/3.08 ( composition(X1,X2) = meet(composition(X1,X2),composition(top,composition(join(one,X1),X2))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.197.2.0','0.50.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.2','L')]).
% 2.69/3.08 cnf('0.201.0.1',plain,
% 2.69/3.08 ( composition(X1,X2) = meet(composition(X1,X2),composition(top,X2)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.201.0.0','0.174.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.2','L')]).
% 2.69/3.08 cnf('0.201.1.0',plain,
% 2.69/3.08 ( composition(X1,X2) = meet(composition(X1,X2),composition(top,X2)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.201.0.1']),
% 2.69/3.08 [weight('<87,197,50,[1,0,0,4]>')]).
% 2.69/3.08 cnf('0.201.2.0',plain,
% 2.69/3.08 ( meet(composition(X1,X2),composition(top,X2)) = composition(X1,X2) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.201.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_196]).
% 2.69/3.08 cnf('0.204.0.0',plain,
% 2.69/3.08 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 2.69/3.08 inference(interreduction_right,[status(thm)],['0.59.2.0'])).
% 2.69/3.08 cnf('0.204.0.1',plain,
% 2.69/3.08 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.204.0.0','0.118.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.204.1.0',plain,
% 2.69/3.08 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.204.0.1']),
% 2.69/3.08 [weight('<89,59,118,[0,0,0,0]>')]).
% 2.69/3.08 cnf('0.204.2.0',plain,
% 2.69/3.08 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.204.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_199]).
% 2.69/3.08 cnf('0.205.0.0',plain,
% 2.69/3.08 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.171.2.0','0.204.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.205.1.0',plain,
% 2.69/3.08 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.205.0.0']),
% 2.69/3.08 [weight('<69,204,171,[0,0,0,2]>')]).
% 2.69/3.08 cnf('0.205.2.0',plain,
% 2.69/3.08 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.205.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_200]).
% 2.69/3.08 cnf('0.208.0.0',plain,
% 2.69/3.08 ( meet(complement(meet(complement(complement(X1)),X2)),X1) = complement(join(complement(X1),X2)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.118.2.0','0.205.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.208.0.1',plain,
% 2.69/3.08 ( meet(join(complement(X1),complement(X2)),X1) = complement(join(complement(X1),X2)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.208.0.0','0.119.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.208.0.2',plain,
% 2.69/3.08 ( meet(complement(meet(X1,X2)),X1) = complement(join(complement(X1),X2)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.208.0.1','0.122.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.208.0.3',plain,
% 2.69/3.08 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.208.0.2','0.118.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.208.1.0',plain,
% 2.69/3.08 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.208.0.3']),
% 2.69/3.08 [weight('<76,205,118,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.208.1.1',plain,
% 2.69/3.08 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.208.1.0','0.18.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.208.2.0',plain,
% 2.69/3.08 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.208.1.1',theory(equality)]),
% 2.69/3.08 [u,rule_203]).
% 2.69/3.08 cnf('0.209.0.0',plain,
% 2.69/3.08 ( meet(complement(complement(X1)),X2) = meet(X2,join(X1,complement(X2))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.208.2.0','0.121.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.209.0.1',plain,
% 2.69/3.08 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.209.0.0','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.209.1.0',plain,
% 2.69/3.08 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.209.0.1']),
% 2.69/3.08 [weight('<69,208,121,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.209.2.0',plain,
% 2.69/3.08 ( meet(X1,join(X2,complement(X1))) = meet(X2,X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.209.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_204]).
% 2.69/3.08 cnf('0.210.0.0',plain,
% 2.69/3.08 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.209.2.0','0.4.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.210.1.0',plain,
% 2.69/3.08 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.210.0.0']),
% 2.69/3.08 [weight('<69,209,4,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.210.2.0',plain,
% 2.69/3.08 ( meet(X1,join(complement(X1),X2)) = meet(X2,X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.210.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_205]).
% 2.69/3.08 cnf('0.211.0.0',plain,
% 2.69/3.08 ( meet(converse(complement(converse(complement(X1)))),X1) = meet(X1,top) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.210.2.0','0.92.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.211.0.1',plain,
% 2.69/3.08 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.211.0.0','0.76.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.211.1.0',plain,
% 2.69/3.08 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.211.0.1']),
% 2.69/3.08 [weight('<71,210,92,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.211.1.1',plain,
% 2.69/3.08 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.211.1.0','0.18.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.211.2.0',plain,
% 2.69/3.08 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.211.1.1',theory(equality)]),
% 2.69/3.08 [u,rule_206]).
% 2.69/3.08 cnf('0.213.0.0',plain,
% 2.69/3.08 ( join(X1,complement(converse(complement(converse(complement(complement(X1))))))) = complement(complement(X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.119.2.0','0.211.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.213.0.1',plain,
% 2.69/3.08 ( join(X1,complement(converse(complement(converse(X1))))) = complement(complement(X1)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.213.0.0','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.1.1.1.1','L')]).
% 2.69/3.08 cnf('0.213.0.2',plain,
% 2.69/3.08 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.213.0.1','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.213.1.0',plain,
% 2.69/3.08 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.213.0.2']),
% 2.69/3.08 [weight('<71,211,119,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.213.2.0',plain,
% 2.69/3.08 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.213.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_208]).
% 2.69/3.08 cnf('0.225.0.0',plain,
% 2.69/3.08 ( join(X1,converse(complement(converse(complement(converse(converse(X1))))))) = converse(converse(X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.26.2.0','0.213.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.225.0.1',plain,
% 2.69/3.08 ( join(X1,converse(complement(converse(complement(X1))))) = converse(converse(X1)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.225.0.0','0.3.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.1.1.1.1','L')]).
% 2.69/3.08 cnf('0.225.0.2',plain,
% 2.69/3.08 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.225.0.1','0.3.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.225.1.0',plain,
% 2.69/3.08 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.225.0.2']),
% 2.69/3.08 [weight('<71,213,26,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.225.2.0',plain,
% 2.69/3.08 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.225.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_220]).
% 2.69/3.08 cnf('0.228.0.0',plain,
% 2.69/3.08 ( meet(complement(converse(complement(converse(complement(complement(X1)))))),X1) = complement(complement(X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.118.2.0','0.225.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.228.0.1',plain,
% 2.69/3.08 ( meet(complement(converse(complement(converse(X1)))),X1) = complement(complement(X1)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.228.0.0','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1.1.1.1.1','L')]).
% 2.69/3.08 cnf('0.228.0.2',plain,
% 2.69/3.08 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.228.0.1','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.228.1.0',plain,
% 2.69/3.08 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.228.0.2']),
% 2.69/3.08 [weight('<71,225,118,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.228.1.1',plain,
% 2.69/3.08 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.228.1.0','0.18.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.228.2.0',plain,
% 2.69/3.08 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.228.1.1',theory(equality)]),
% 2.69/3.08 [u,rule_223]).
% 2.69/3.08 cnf('0.233.0.0',plain,
% 2.69/3.08 ( meet(complement(X1),X2) = meet(X2,complement(meet(X1,X2))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.208.2.0','0.18.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.1','L')]).
% 2.69/3.08 cnf('0.233.1.0',plain,
% 2.69/3.08 ( meet(complement(X1),X2) = meet(X2,complement(meet(X1,X2))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.233.0.0']),
% 2.69/3.08 [weight('<76,208,18,[1,0,0,3]>')]).
% 2.69/3.08 cnf('0.233.2.0',plain,
% 2.69/3.08 ( meet(X1,complement(meet(X2,X1))) = meet(complement(X2),X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.233.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_228]).
% 2.69/3.08 cnf('0.235.0.0',plain,
% 2.69/3.08 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.209.2.0','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.2','L')]).
% 2.69/3.08 cnf('0.235.1.0',plain,
% 2.69/3.08 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.235.0.0']),
% 2.69/3.08 [weight('<76,209,71,[1,0,0,4]>')]).
% 2.69/3.08 cnf('0.235.2.0',plain,
% 2.69/3.08 ( meet(complement(X1),join(X2,X1)) = meet(X2,complement(X1)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.235.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_230]).
% 2.69/3.08 cnf('0.236.0.0',plain,
% 2.69/3.08 ( meet(X1,complement(converse(complement(converse(X1))))) = meet(complement(converse(complement(converse(X1)))),top) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.235.2.0','0.92.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.236.0.1',plain,
% 2.69/3.08 ( X1 = meet(complement(converse(complement(converse(X1)))),top) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.236.0.0','0.228.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.236.0.2',plain,
% 2.69/3.08 ( X1 = complement(converse(complement(converse(X1)))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.236.0.1','0.76.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.236.1.0',plain,
% 2.69/3.08 ( X1 = complement(converse(complement(converse(X1)))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.236.0.2']),
% 2.69/3.08 [weight('<41,235,92,[1,0,0,3]>')]).
% 2.69/3.08 cnf('0.236.2.0',plain,
% 2.69/3.08 ( complement(converse(complement(converse(X1)))) = X1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.236.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_231]).
% 2.69/3.08 cnf('0.237.0.0',plain,
% 2.69/3.08 ( converse(X1) = complement(converse(complement(X1))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.236.2.0','0.3.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1.1.1','L')]).
% 2.69/3.08 cnf('0.237.1.0',plain,
% 2.69/3.08 ( converse(X1) = complement(converse(complement(X1))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.237.0.0']),
% 2.69/3.08 [weight('<34,236,3,[1,0,0,3]>')]).
% 2.69/3.08 cnf('0.237.2.0',plain,
% 2.69/3.08 ( complement(converse(complement(X1))) = converse(X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.237.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_232]).
% 2.69/3.08 cnf('0.238.0.0',plain,
% 2.69/3.08 ( converse(complement(X1)) = complement(converse(X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.71.2.0','0.237.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.238.1.0',plain,
% 2.69/3.08 ( converse(complement(X1)) = complement(converse(X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.238.0.0']),
% 2.69/3.08 [weight('<27,237,71,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.238.2.0',plain,
% 2.69/3.08 ( complement(converse(X1)) = converse(complement(X1)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.238.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_233]).
% 2.69/3.08 cnf('0.239.0.0',plain,
% 2.69/3.08 ( composition(converse(complement(converse(sk1))),top) = converse(complement(converse(sk1))) ),
% 2.69/3.08 inference(interreduction_right,[status(thm)],['0.157.2.0'])).
% 2.69/3.08 cnf('0.239.0.1',plain,
% 2.69/3.08 ( composition(converse(converse(complement(sk1))),top) = converse(complement(converse(sk1))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.239.0.0','0.238.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1.1','L')]).
% 2.69/3.08 cnf('0.239.0.2',plain,
% 2.69/3.08 ( composition(complement(sk1),top) = converse(complement(converse(sk1))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.239.0.1','0.3.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.239.0.3',plain,
% 2.69/3.08 ( composition(complement(sk1),top) = converse(converse(complement(sk1))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.239.0.2','0.238.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.1','L')]).
% 2.69/3.08 cnf('0.239.0.4',plain,
% 2.69/3.08 ( composition(complement(sk1),top) = complement(sk1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.239.0.3','0.3.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.239.1.0',plain,
% 2.69/3.08 ( composition(complement(sk1),top) = complement(sk1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.239.0.4']),
% 2.69/3.08 [weight('<34,157,238,[0,0,0,0]>')]).
% 2.69/3.08 cnf('0.239.2.0',plain,
% 2.69/3.08 ( composition(complement(sk1),top) = complement(sk1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.239.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_234]).
% 2.69/3.08 cnf('0.240.0.0',plain,
% 2.69/3.08 ( complement(top) = join(complement(top),composition(converse(complement(sk1)),complement(complement(sk1)))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.8.2.0','0.239.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.2.1','L')]).
% 2.69/3.08 cnf('0.240.0.1',plain,
% 2.69/3.08 ( zero = join(complement(top),composition(converse(complement(sk1)),complement(complement(sk1)))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.240.0.0','0.15.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.240.0.2',plain,
% 2.69/3.08 ( zero = join(zero,composition(converse(complement(sk1)),complement(complement(sk1)))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.240.0.1','0.15.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.1','L')]).
% 2.69/3.08 cnf('0.240.0.3',plain,
% 2.69/3.08 ( zero = composition(converse(complement(sk1)),complement(complement(sk1))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.240.0.2','0.66.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.240.0.4',plain,
% 2.69/3.08 ( zero = composition(converse(complement(sk1)),sk1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.240.0.3','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.2','L')]).
% 2.69/3.08 cnf('0.240.1.0',plain,
% 2.69/3.08 ( zero = composition(converse(complement(sk1)),sk1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.240.0.4']),
% 2.69/3.08 [weight('<41,239,8,[0,0,0,7]>')]).
% 2.69/3.08 cnf('0.240.2.0',plain,
% 2.69/3.08 ( composition(converse(complement(sk1)),sk1) = zero ),
% 2.69/3.08 inference(orient,[status(thm)],['0.240.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_235]).
% 2.69/3.08 cnf('0.242.0.0',plain,
% 2.69/3.08 ( composition(top,complement(converse(sk1))) = complement(converse(sk1)) ),
% 2.69/3.08 inference(interreduction_right,[status(thm)],['0.90.2.0'])).
% 2.69/3.08 cnf('0.242.0.1',plain,
% 2.69/3.08 ( composition(top,converse(complement(sk1))) = complement(converse(sk1)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.242.0.0','0.238.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.242.0.2',plain,
% 2.69/3.08 ( composition(top,converse(complement(sk1))) = converse(complement(sk1)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.242.0.1','0.238.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.242.1.0',plain,
% 2.69/3.08 ( composition(top,converse(complement(sk1))) = converse(complement(sk1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.242.0.2']),
% 2.69/3.08 [weight('<53,90,238,[0,0,0,0]>')]).
% 2.69/3.08 cnf('0.242.2.0',plain,
% 2.69/3.08 ( composition(top,converse(complement(sk1))) = converse(complement(sk1)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.242.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_237]).
% 2.69/3.08 cnf('0.250.0.0',plain,
% 2.69/3.08 ( composition(converse(complement(sk1)),composition(sk1,X1)) = composition(zero,X1) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.11.2.0','0.240.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.250.0.1',plain,
% 2.69/3.08 ( composition(converse(complement(sk1)),composition(sk1,X1)) = zero ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.250.0.0','0.82.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.250.1.0',plain,
% 2.69/3.08 ( composition(converse(complement(sk1)),composition(sk1,X1)) = zero ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.250.0.1']),
% 2.69/3.08 [weight('<71,240,11,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.250.2.0',plain,
% 2.69/3.08 ( composition(converse(complement(sk1)),composition(sk1,X1)) = zero ),
% 2.69/3.08 inference(orient,[status(thm)],['0.250.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_245]).
% 2.69/3.08 cnf('0.276.0.0',plain,
% 2.69/3.08 ( complement(composition(sk1,X1)) = join(complement(composition(sk1,X1)),composition(converse(converse(complement(sk1))),complement(zero))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.8.2.0','0.250.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.2.1','L')]).
% 2.69/3.08 cnf('0.276.0.1',plain,
% 2.69/3.08 ( complement(composition(sk1,X1)) = join(complement(composition(sk1,X1)),composition(complement(sk1),complement(zero))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.276.0.0','0.3.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.2.1','L')]).
% 2.69/3.08 cnf('0.276.0.2',plain,
% 2.69/3.08 ( complement(composition(sk1,X1)) = join(complement(composition(sk1,X1)),composition(complement(sk1),top)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.276.0.1','0.67.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.2.2','L')]).
% 2.69/3.08 cnf('0.276.0.3',plain,
% 2.69/3.08 ( complement(composition(sk1,X1)) = join(complement(composition(sk1,X1)),complement(sk1)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.276.0.2','0.239.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.2','L')]).
% 2.69/3.08 cnf('0.276.0.4',plain,
% 2.69/3.08 ( complement(composition(sk1,X1)) = complement(meet(composition(sk1,X1),sk1)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.276.0.3','0.122.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.276.1.0',plain,
% 2.69/3.08 ( complement(composition(sk1,X1)) = complement(meet(composition(sk1,X1),sk1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.276.0.4']),
% 2.69/3.08 [weight('<76,250,8,[0,0,0,7]>')]).
% 2.69/3.08 cnf('0.276.1.1',plain,
% 2.69/3.08 ( complement(composition(sk1,X1)) = complement(meet(sk1,composition(sk1,X1))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.276.1.0','0.18.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.1','L')]).
% 2.69/3.08 cnf('0.276.2.0',plain,
% 2.69/3.08 ( complement(meet(sk1,composition(sk1,X1))) = complement(composition(sk1,X1)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.276.1.1',theory(equality)]),
% 2.69/3.08 [x,rule_271]).
% 2.69/3.08 cnf('0.277.0.0',plain,
% 2.69/3.08 ( meet(sk1,composition(sk1,X1)) = complement(complement(composition(sk1,X1))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.71.2.0','0.276.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.277.0.1',plain,
% 2.69/3.08 ( meet(sk1,composition(sk1,X1)) = composition(sk1,X1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.277.0.0','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.277.1.0',plain,
% 2.69/3.08 ( meet(sk1,composition(sk1,X1)) = composition(sk1,X1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.277.0.1']),
% 2.69/3.08 [weight('<53,276,71,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.277.2.0',plain,
% 2.69/3.08 ( meet(sk1,composition(sk1,X1)) = composition(sk1,X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.277.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_272]).
% 2.69/3.08 cnf('0.287.0.0',plain,
% 2.69/3.08 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.238.2.0','0.26.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.287.1.0',plain,
% 2.69/3.08 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.287.0.0']),
% 2.69/3.08 [weight('<83,238,26,[1,0,0,1]>')]).
% 2.69/3.08 cnf('0.287.2.0',plain,
% 2.69/3.08 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.287.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_282]).
% 2.69/3.08 cnf('0.311.0.0',plain,
% 2.69/3.08 ( complement(meet(converse(X1),X2)) = join(converse(complement(X1)),complement(X2)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.122.2.0','0.238.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.311.1.0',plain,
% 2.69/3.08 ( complement(meet(converse(X1),X2)) = join(converse(complement(X1)),complement(X2)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.311.0.0']),
% 2.69/3.08 [weight('<83,238,122,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.311.2.0',plain,
% 2.69/3.08 ( join(converse(complement(X1)),complement(X2)) = complement(meet(converse(X1),X2)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.311.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_306]).
% 2.69/3.08 cnf('0.312.0.0',plain,
% 2.69/3.08 ( complement(join(complement(X1),converse(complement(X2)))) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.287.2.0','0.311.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1.1','L')]).
% 2.69/3.08 cnf('0.312.0.1',plain,
% 2.69/3.08 ( meet(complement(converse(complement(X2))),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.312.0.0','0.118.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.312.0.2',plain,
% 2.69/3.08 ( meet(converse(complement(complement(X2))),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.312.0.1','0.238.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.312.0.3',plain,
% 2.69/3.08 ( meet(converse(X2),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.312.0.2','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1.1','L')]).
% 2.69/3.08 cnf('0.312.0.4',plain,
% 2.69/3.08 ( meet(converse(X2),X1) = converse(meet(converse(X1),X2)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.312.0.3','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.1','L')]).
% 2.69/3.08 cnf('0.312.1.0',plain,
% 2.69/3.08 ( meet(converse(X2),X1) = converse(meet(converse(X1),X2)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.312.0.4']),
% 2.69/3.08 [weight('<59,311,287,[0,0,0,2]>')]).
% 2.69/3.08 cnf('0.312.2.0',plain,
% 2.69/3.08 ( converse(meet(converse(X1),X2)) = meet(converse(X2),X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.312.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_307]).
% 2.69/3.08 cnf('0.313.0.0',plain,
% 2.69/3.08 ( meet(converse(X1),converse(X2)) = converse(meet(X2,X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.312.2.0','0.3.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1.1','L')]).
% 2.69/3.08 cnf('0.313.1.0',plain,
% 2.69/3.08 ( meet(converse(X1),converse(X2)) = converse(meet(X2,X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.313.0.0']),
% 2.69/3.08 [weight('<59,312,3,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.313.2.0',plain,
% 2.69/3.08 ( meet(converse(X1),converse(X2)) = converse(meet(X2,X1)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.313.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_308]).
% 2.69/3.08 cnf('0.372.0.0',plain,
% 2.69/3.08 ( join(sk1,X1) = join(sk1,join(composition(sk1,X2),X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.166.2.0','0.277.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.1','L')]).
% 2.69/3.08 cnf('0.372.1.0',plain,
% 2.69/3.08 ( join(sk1,X1) = join(sk1,join(composition(sk1,X2),X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.372.0.0']),
% 2.69/3.08 [weight('<87,277,166,[0,0,0,3]>')]).
% 2.69/3.08 cnf('0.372.2.0',plain,
% 2.69/3.08 ( join(sk1,join(composition(sk1,X1),X2)) = join(sk1,X2) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.372.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_367]).
% 2.69/3.08 cnf('0.448.0.0',plain,
% 2.69/3.08 ( zero = meet(complement(composition(top,X1)),composition(X2,X1)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.114.2.0','0.201.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.448.1.0',plain,
% 2.69/3.08 ( zero = meet(complement(composition(top,X1)),composition(X2,X1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.448.0.0']),
% 2.69/3.08 [weight('<89,201,114,[0,0,0,3]>')]).
% 2.69/3.08 cnf('0.448.2.0',plain,
% 2.69/3.08 ( meet(complement(composition(top,X1)),composition(X2,X1)) = zero ),
% 2.69/3.08 inference(orient,[status(thm)],['0.448.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_443]).
% 2.69/3.08 cnf('0.552.0.0',plain,
% 2.69/3.08 ( zero = meet(complement(converse(complement(sk1))),composition(X1,converse(complement(sk1)))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.448.2.0','0.242.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1.1','L')]).
% 2.69/3.08 cnf('0.552.0.1',plain,
% 2.69/3.08 ( zero = meet(converse(complement(complement(sk1))),composition(X1,converse(complement(sk1)))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.552.0.0','0.238.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.1','L')]).
% 2.69/3.08 cnf('0.552.0.2',plain,
% 2.69/3.08 ( zero = meet(converse(sk1),composition(X1,converse(complement(sk1)))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.552.0.1','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.1.1','L')]).
% 2.69/3.08 cnf('0.552.1.0',plain,
% 2.69/3.08 ( zero = meet(converse(sk1),composition(X1,converse(complement(sk1)))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.552.0.2']),
% 2.69/3.08 [weight('<89,448,242,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.552.2.0',plain,
% 2.69/3.08 ( meet(converse(sk1),composition(X1,converse(complement(sk1)))) = zero ),
% 2.69/3.08 inference(orient,[status(thm)],['0.552.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_547]).
% 2.69/3.08 cnf('0.553.0.0',plain,
% 2.69/3.08 ( zero = meet(converse(sk1),converse(composition(complement(sk1),X1))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.552.2.0','0.12.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.553.0.1',plain,
% 2.69/3.08 ( zero = converse(meet(composition(complement(sk1),X1),sk1)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.553.0.0','0.313.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.553.1.0',plain,
% 2.69/3.08 ( zero = converse(meet(composition(complement(sk1),X1),sk1)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.553.0.1']),
% 2.69/3.08 [weight('<71,552,12,[1,0,0,3]>')]).
% 2.69/3.08 cnf('0.553.1.1',plain,
% 2.69/3.08 ( zero = converse(meet(sk1,composition(complement(sk1),X1))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.553.1.0','0.18.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.1','L')]).
% 2.69/3.08 cnf('0.553.2.0',plain,
% 2.69/3.08 ( converse(meet(sk1,composition(complement(sk1),X1))) = zero ),
% 2.69/3.08 inference(orient,[status(thm)],['0.553.1.1',theory(equality)]),
% 2.69/3.08 [x,rule_548]).
% 2.69/3.08 cnf('0.554.0.0',plain,
% 2.69/3.08 ( meet(sk1,composition(complement(sk1),X1)) = converse(zero) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.3.2.0','0.553.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.554.0.1',plain,
% 2.69/3.08 ( meet(sk1,composition(complement(sk1),X1)) = zero ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.554.0.0','0.78.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.554.1.0',plain,
% 2.69/3.08 ( meet(sk1,composition(complement(sk1),X1)) = zero ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.554.0.1']),
% 2.69/3.08 [weight('<55,553,3,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.554.2.0',plain,
% 2.69/3.08 ( meet(sk1,composition(complement(sk1),X1)) = zero ),
% 2.69/3.08 inference(orient,[status(thm)],['0.554.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_549]).
% 2.69/3.08 cnf('0.593.0.0',plain,
% 2.69/3.08 ( join(X1,converse(composition(X2,converse(X1)))) = converse(composition(join(one,X2),converse(X1))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.26.2.0','0.50.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('0.593.0.1',plain,
% 2.69/3.08 ( join(X1,composition(X1,converse(X2))) = converse(composition(join(one,X2),converse(X1))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.593.0.0','0.28.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.593.0.2',plain,
% 2.69/3.08 ( join(X1,composition(X1,converse(X2))) = composition(X1,converse(join(one,X2))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.593.0.1','0.28.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.593.0.3',plain,
% 2.69/3.08 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.593.0.2','0.33.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.2','L')]).
% 2.69/3.08 cnf('0.593.1.0',plain,
% 2.69/3.08 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.593.0.3']),
% 2.69/3.08 [weight('<90,50,26,[0,0,0,1]>')]).
% 2.69/3.08 cnf('0.593.2.0',plain,
% 2.69/3.08 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.593.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_588]).
% 2.69/3.08 cnf('0.594.0.0',plain,
% 2.69/3.08 ( composition(X1,join(one,converse(converse(X2)))) = join(X1,composition(X1,X2)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.593.2.0','0.3.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.2','L')]).
% 2.69/3.08 cnf('0.594.0.1',plain,
% 2.69/3.08 ( composition(X1,join(one,X2)) = join(X1,composition(X1,X2)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.594.0.0','0.3.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.2','L')]).
% 2.69/3.08 cnf('0.594.1.0',plain,
% 2.69/3.08 ( composition(X1,join(one,X2)) = join(X1,composition(X1,X2)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.594.0.1']),
% 2.69/3.08 [weight('<65,593,3,[1,0,0,4]>')]).
% 2.69/3.08 cnf('0.594.2.0',plain,
% 2.69/3.08 ( join(X1,composition(X1,X2)) = composition(X1,join(one,X2)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.594.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_589]).
% 2.69/3.08 cnf('0.664.0.0',plain,
% 2.69/3.08 ( meet(complement(sk1),composition(complement(sk1),X1)) = meet(composition(complement(sk1),X1),complement(zero)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.233.2.0','0.554.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.1','L')]).
% 2.69/3.08 cnf('0.664.0.1',plain,
% 2.69/3.08 ( meet(complement(sk1),composition(complement(sk1),X1)) = meet(composition(complement(sk1),X1),top) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.664.0.0','0.67.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.2','L')]).
% 2.69/3.08 cnf('0.664.0.2',plain,
% 2.69/3.08 ( meet(complement(sk1),composition(complement(sk1),X1)) = composition(complement(sk1),X1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.664.0.1','0.76.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.664.1.0',plain,
% 2.69/3.08 ( meet(complement(sk1),composition(complement(sk1),X1)) = composition(complement(sk1),X1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.664.0.2']),
% 2.69/3.08 [weight('<95,554,233,[0,0,0,3]>')]).
% 2.69/3.08 cnf('0.664.2.0',plain,
% 2.69/3.08 ( meet(complement(sk1),composition(complement(sk1),X1)) = composition(complement(sk1),X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.664.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_659]).
% 2.69/3.08 cnf('0.726.0.0',plain,
% 2.69/3.08 ( join(sk1,composition(X1,X2)) = join(sk1,composition(join(sk1,X1),X2)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.372.2.0','0.7.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.726.1.0',plain,
% 2.69/3.08 ( join(sk1,composition(X1,X2)) = join(sk1,composition(join(sk1,X1),X2)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.726.0.0']),
% 2.69/3.08 [weight('<103,372,7,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.726.2.0',plain,
% 2.69/3.08 ( join(sk1,composition(join(sk1,X1),X2)) = join(sk1,composition(X1,X2)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.726.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_721]).
% 2.69/3.08 cnf('0.727.0.0',plain,
% 2.69/3.08 ( join(sk1,composition(meet(sk1,X1),X2)) = join(sk1,composition(sk1,X2)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.726.2.0','0.88.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.1','L')]).
% 2.69/3.08 cnf('0.727.0.1',plain,
% 2.69/3.08 ( join(sk1,composition(meet(sk1,X1),X2)) = composition(sk1,join(one,X2)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.727.0.0','0.594.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.727.0.2',plain,
% 2.69/3.08 ( join(sk1,composition(meet(sk1,X1),X2)) = sk1 ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.727.0.1','0.101.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.727.1.0',plain,
% 2.69/3.08 ( join(sk1,composition(meet(sk1,X1),X2)) = sk1 ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.727.0.2']),
% 2.69/3.08 [weight('<71,726,88,[1,0,0,3]>')]).
% 2.69/3.08 cnf('0.727.2.0',plain,
% 2.69/3.08 ( join(sk1,composition(meet(sk1,X1),X2)) = sk1 ),
% 2.69/3.08 inference(orient,[status(thm)],['0.727.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_722]).
% 2.69/3.08 cnf('0.796.0.0',plain,
% 2.69/3.08 ( composition(meet(sk1,X1),X2) = meet(composition(meet(sk1,X1),X2),sk1) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.95.2.0','0.727.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.796.1.0',plain,
% 2.69/3.08 ( composition(meet(sk1,X1),X2) = meet(composition(meet(sk1,X1),X2),sk1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.796.0.0']),
% 2.69/3.08 [weight('<103,727,95,[0,0,0,2]>')]).
% 2.69/3.08 cnf('0.796.1.1',plain,
% 2.69/3.08 ( composition(meet(sk1,X1),X2) = meet(sk1,composition(meet(sk1,X1),X2)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.796.1.0','0.18.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.796.2.0',plain,
% 2.69/3.08 ( meet(sk1,composition(meet(sk1,X1),X2)) = composition(meet(sk1,X1),X2) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.796.1.1',theory(equality)]),
% 2.69/3.08 [x,rule_791]).
% 2.69/3.08 cnf('0.843.0.0',plain,
% 2.69/3.08 ( meet(join(meet(complement(X1),X2),X3),X1) = meet(X1,join(complement(X1),X3)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.210.2.0','0.166.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.843.0.1',plain,
% 2.69/3.08 ( meet(join(meet(complement(X1),X2),X3),X1) = meet(X3,X1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.843.0.0','0.210.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.843.1.0',plain,
% 2.69/3.08 ( meet(join(meet(complement(X1),X2),X3),X1) = meet(X3,X1) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.843.0.1']),
% 2.69/3.08 [weight('<107,210,166,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.843.1.1',plain,
% 2.69/3.08 ( meet(X1,join(meet(complement(X1),X2),X3)) = meet(X3,X1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.843.1.0','0.18.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.843.2.0',plain,
% 2.69/3.08 ( meet(X1,join(meet(complement(X1),X2),X3)) = meet(X3,X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.843.1.1',theory(equality)]),
% 2.69/3.08 [u,rule_837]).
% 2.69/3.08 cnf('0.1023.0.0',plain,
% 2.69/3.08 ( meet(X1,X2) = meet(X2,join(X1,meet(complement(X2),X3))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.843.2.0','0.4.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.1023.1.0',plain,
% 2.69/3.08 ( meet(X1,X2) = meet(X2,join(X1,meet(complement(X2),X3))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.1023.0.0']),
% 2.69/3.08 [weight('<107,843,4,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.1023.2.0',plain,
% 2.69/3.08 ( meet(X1,join(X2,meet(complement(X1),X3))) = meet(X2,X1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.1023.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_1013]).
% 2.69/3.08 cnf('0.1064.0.0',plain,
% 2.69/3.08 ( meet(X1,sk1) = meet(sk1,join(X1,composition(complement(sk1),X2))) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.1023.2.0','0.664.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.2','L')]).
% 2.69/3.08 cnf('0.1064.1.0',plain,
% 2.69/3.08 ( meet(X1,sk1) = meet(sk1,join(X1,composition(complement(sk1),X2))) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.1064.0.0']),
% 2.69/3.08 [weight('<107,1023,664,[1,0,0,4]>')]).
% 2.69/3.08 cnf('0.1064.2.0',plain,
% 2.69/3.08 ( meet(sk1,join(X1,composition(complement(sk1),X2))) = meet(X1,sk1) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.1064.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_1054]).
% 2.69/3.08 cnf('0.3155.0.0',plain,
% 2.69/3.08 ( meet(composition(X1,X2),sk1) = meet(sk1,composition(join(X1,complement(sk1)),X2)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.1064.2.0','0.7.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('0.3155.1.0',plain,
% 2.69/3.08 ( meet(composition(X1,X2),sk1) = meet(sk1,composition(join(X1,complement(sk1)),X2)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.3155.0.0']),
% 2.69/3.08 [weight('<125,1064,7,[1,0,0,2]>')]).
% 2.69/3.08 cnf('0.3155.1.1',plain,
% 2.69/3.08 ( meet(sk1,composition(X1,X2)) = meet(sk1,composition(join(X1,complement(sk1)),X2)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.3155.1.0','0.18.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.3155.2.0',plain,
% 2.69/3.08 ( meet(sk1,composition(join(X1,complement(sk1)),X2)) = meet(sk1,composition(X1,X2)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.3155.1.1',theory(equality)]),
% 2.69/3.08 [x,rule_3135]).
% 2.69/3.08 cnf('0.3255.0.0',plain,
% 2.69/3.08 ( meet(sk1,composition(X1,X2)) = meet(sk1,composition(join(complement(sk1),X1),X2)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.3155.2.0','0.4.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.1','L')]).
% 2.69/3.08 cnf('0.3255.1.0',plain,
% 2.69/3.08 ( meet(sk1,composition(X1,X2)) = meet(sk1,composition(join(complement(sk1),X1),X2)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.3255.0.0']),
% 2.69/3.08 [weight('<125,3155,4,[1,0,0,3]>')]).
% 2.69/3.08 cnf('0.3255.2.0',plain,
% 2.69/3.08 ( meet(sk1,composition(join(complement(sk1),X1),X2)) = meet(sk1,composition(X1,X2)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.3255.1.0',theory(equality)]),
% 2.69/3.08 [x,rule_3235]).
% 2.69/3.08 cnf('0.3256.0.0',plain,
% 2.69/3.08 ( meet(sk1,composition(meet(complement(complement(sk1)),X1),X2)) = meet(sk1,composition(join(complement(sk1),X1),X2)) ),
% 2.69/3.08 inference(cp,[status(thm)],['0.3255.2.0','0.205.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.1','L')]).
% 2.69/3.08 cnf('0.3256.0.1',plain,
% 2.69/3.08 ( meet(sk1,composition(meet(sk1,X1),X2)) = meet(sk1,composition(join(complement(sk1),X1),X2)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.3256.0.0','0.71.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.1.1','L')]).
% 2.69/3.08 cnf('0.3256.0.2',plain,
% 2.69/3.08 ( composition(meet(sk1,X1),X2) = meet(sk1,composition(join(complement(sk1),X1),X2)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.3256.0.1','0.796.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('0.3256.0.3',plain,
% 2.69/3.08 ( composition(meet(sk1,X1),X2) = meet(sk1,composition(X1,X2)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['0.3256.0.2','0.3255.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('0.3256.1.0',plain,
% 2.69/3.08 ( composition(meet(sk1,X1),X2) = meet(sk1,composition(X1,X2)) ),
% 2.69/3.08 inference(weigh,[status(thm)],['0.3256.0.3']),
% 2.69/3.08 [weight('<65,3255,205,[1,0,0,3]>')]).
% 2.69/3.08 cnf('0.3256.2.0',plain,
% 2.69/3.08 ( composition(meet(sk1,X1),X2) = meet(sk1,composition(X1,X2)) ),
% 2.69/3.08 inference(orient,[status(thm)],['0.3256.1.0',theory(equality)]),
% 2.69/3.08 [u,rule_3236]).
% 2.69/3.08 cnf('1.0.0.0',conjecture,
% 2.69/3.08 ( join(meet(sk1,sk2),composition(meet(sk1,one),sk2)) = composition(meet(sk1,one),sk2) ),
% 2.69/3.08 file('/tmp/WALDMEISTER_17719_n013',conjecture_1)).
% 2.69/3.08 cnf('1.0.0.1',plain,
% 2.69/3.08 ( join(meet(sk2,sk1),composition(meet(sk1,one),sk2)) = composition(meet(sk1,one),sk2) ),
% 2.69/3.08 inference(reduction,[status(thm)],['1.0.0.0','0.18.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.1','L')]).
% 2.69/3.08 cnf('1.0.0.2',plain,
% 2.69/3.08 ( join(meet(sk2,sk1),meet(sk1,composition(one,sk2))) = composition(meet(sk1,one),sk2) ),
% 2.69/3.08 inference(reduction,[status(thm)],['1.0.0.1','0.3256.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('1.0.0.3',plain,
% 2.69/3.08 ( join(meet(sk2,sk1),meet(sk1,sk2)) = composition(meet(sk1,one),sk2) ),
% 2.69/3.08 inference(reduction,[status(thm)],['1.0.0.2','0.32.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2.2','L')]).
% 2.69/3.08 cnf('1.0.0.4',plain,
% 2.69/3.08 ( join(meet(sk2,sk1),meet(sk2,sk1)) = composition(meet(sk1,one),sk2) ),
% 2.69/3.08 inference(reduction,[status(thm)],['1.0.0.3','0.18.2.0',theory(equality)]),
% 2.69/3.08 [pos('L.2','L')]).
% 2.69/3.08 cnf('1.0.0.5',plain,
% 2.69/3.08 ( meet(sk2,sk1) = composition(meet(sk1,one),sk2) ),
% 2.69/3.08 inference(reduction,[status(thm)],['1.0.0.4','0.74.2.0',theory(equality)]),
% 2.69/3.08 [pos('L','L')]).
% 2.69/3.08 cnf('1.0.0.6',plain,
% 2.69/3.08 ( meet(sk2,sk1) = meet(sk1,composition(one,sk2)) ),
% 2.69/3.08 inference(reduction,[status(thm)],['1.0.0.5','0.3256.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('1.0.0.7',plain,
% 2.69/3.08 ( meet(sk2,sk1) = meet(sk1,sk2) ),
% 2.69/3.08 inference(reduction,[status(thm)],['1.0.0.6','0.32.2.0',theory(equality)]),
% 2.69/3.08 [pos('R.2','L')]).
% 2.69/3.08 cnf('1.0.0.8',plain,
% 2.69/3.08 ( meet(sk2,sk1) = meet(sk2,sk1) ),
% 2.69/3.08 inference(reduction,[status(thm)],['1.0.0.7','0.18.2.0',theory(equality)]),
% 2.69/3.08 [pos('R','L')]).
% 2.69/3.08 cnf('1.0.0.9',plain,
% 2.69/3.08 ( $true ),
% 2.69/3.08 inference(trivial,[status(thm)],['1.0.0.8',theory(equality)]),
% 2.69/3.08 [conjecture_1]).
% 2.69/3.08
% 2.69/3.08 Proved Goals:
% 2.69/3.08 No. 1: join(meet(sk1,sk2),composition(meet(sk1,one),sk2)) ?= composition(meet(sk1,one),sk2) joined, current: meet(sk2,sk1) = meet(sk2,sk1)
% 2.69/3.08 1 goal was specified, which was proved.
% 2.69/3.08 % SZS output end CNFRefutation
% 2.69/3.08 #END OF PROOF
% 2.69/3.08
% 2.69/3.08 Problem WALDMEISTER_17719_n013
% 2.69/3.08 CPs.gen 775678
% 2.69/3.08 CPs.reexp 0
% 2.69/3.08 Select 46197
% 2.69/3.08 R 3236
% 2.69/3.08 E 20
% 2.69/3.08 vsize 10.7M
% 2.69/3.08 rss 6.4M
% 2.69/3.08 process.time 2.115s
% 2.69/3.08 wallclock.time 2.115s
% 2.69/3.08 status S
% 2.69/3.08
% 2.69/3.08
% 2.69/3.08 Waldmeister states: Goal proved.
% 2.69/3.08 % SZS status Unsatisfiable
%------------------------------------------------------------------------------