%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL043-2 : 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 20:10:36 EDT 2022
% Result : Unsatisfiable 0.79s 1.20s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : REL043-2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : woody %s
% 0.12/0.32 % Computer : n013.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Fri Jul 8 07:04:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.62/1.03 ********************************************************************************
% 0.62/1.03 * W A L D M E I S T E R \| \ / \|/ *
% 0.62/1.03 * |/ | \/ | *
% 0.62/1.03 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.62/1.03 * A. Jaeger and B. Loechner | | *
% 0.62/1.03 * <waldmeister@informatik.uni-kl.de> | *
% 0.62/1.03 ********************************************************************************
% 0.62/1.03
% 0.62/1.03
% 0.62/1.03 Goals:
% 0.62/1.03 ------
% 0.62/1.03
% 0.62/1.03 ( 1) join(composition(complement(sk3),sk2),complement(sk1)) ?=? complement(sk1)
% 0.62/1.03
% 0.62/1.03 Detected structure: Orkus
% 0.62/1.03 ********************************************************************************
% 0.62/1.03 ****************************** COMPLETION - PROOF ******************************
% 0.62/1.03 ********************************************************************************
% 0.62/1.03
% 0.79/1.20 joined goal: 1 join(composition(complement(sk3),sk2),complement(sk1)) ?= complement(sk1) to join(composition(complement(sk3),sk2),complement(sk1))
% 0.79/1.20 goal joined
% 0.79/1.20 % SZS status Unsatisfiable
% 0.79/1.20 #START OF PROOF
% 0.79/1.20 % SZS output start CNFRefutation
% 0.79/1.20 cnf('0.1.0.0',axiom,
% 0.79/1.20 ( X1 = composition(X1,one) ),
% 0.79/1.20 file('/tmp/WALDMEISTER_6888_n013')).
% 0.79/1.20 cnf('0.1.1.0',plain,
% 0.79/1.20 ( X1 = composition(X1,one) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.79/1.20 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.1.2.0',plain,
% 0.79/1.20 ( composition(X1,one) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_1]).
% 0.79/1.20 cnf('0.3.0.0',axiom,
% 0.79/1.20 ( X1 = converse(converse(X1)) ),
% 0.79/1.20 file('/tmp/WALDMEISTER_6888_n013')).
% 0.79/1.20 cnf('0.3.1.0',plain,
% 0.79/1.20 ( X1 = converse(converse(X1)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.79/1.20 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.79/1.20 cnf('0.3.2.0',plain,
% 0.79/1.20 ( converse(converse(X1)) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_3]).
% 0.79/1.20 cnf('0.5.0.0',axiom,
% 0.79/1.20 ( composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)) ),
% 0.79/1.20 file('/tmp/WALDMEISTER_6888_n013')).
% 0.79/1.20 cnf('0.5.1.0',plain,
% 0.79/1.20 ( composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.79/1.20 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.79/1.20 cnf('0.5.2.0',plain,
% 0.79/1.20 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_5]).
% 0.79/1.20 cnf('0.6.0.0',axiom,
% 0.79/1.20 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.79/1.20 file('/tmp/WALDMEISTER_6888_n013')).
% 0.79/1.20 cnf('0.6.1.0',plain,
% 0.79/1.20 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.79/1.20 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.79/1.20 cnf('0.6.2.0',plain,
% 0.79/1.20 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_6]).
% 0.79/1.20 cnf('0.7.0.0',axiom,
% 0.79/1.20 ( composition(meet(X1,composition(X2,converse(X3))),meet(X3,composition(converse(X1),X2))) = join(meet(composition(X1,X3),X2),composition(meet(X1,composition(X2,converse(X3))),meet(X3,composition(converse(X1),X2)))) ),
% 0.79/1.20 file('/tmp/WALDMEISTER_6888_n013')).
% 0.79/1.20 cnf('0.7.1.0',plain,
% 0.79/1.20 ( composition(meet(X1,composition(X2,converse(X3))),meet(X3,composition(converse(X1),X2))) = join(meet(composition(X1,X3),X2),composition(meet(X1,composition(X2,converse(X3))),meet(X3,composition(converse(X1),X2)))) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.79/1.20 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.79/1.20 cnf('0.7.2.0',plain,
% 0.79/1.20 ( join(meet(composition(X1,X2),X3),composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3)))) = composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3))) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_7]).
% 0.79/1.20 cnf('0.8.0.0',axiom,
% 0.79/1.20 ( join(X1,X2) = join(X2,X1) ),
% 0.79/1.20 file('/tmp/WALDMEISTER_6888_n013')).
% 0.79/1.20 cnf('0.8.1.0',plain,
% 0.79/1.20 ( join(X1,X2) = join(X2,X1) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.79/1.20 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.79/1.20 cnf('0.8.2.0',plain,
% 0.79/1.20 ( join(X1,X2) = join(X2,X1) ),
% 0.79/1.20 inference(activate,[status(thm)],['0.8.1.0']),
% 0.79/1.20 [equation_1]).
% 0.79/1.20 cnf('0.9.0.0',axiom,
% 0.79/1.20 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.79/1.20 file('/tmp/WALDMEISTER_6888_n013')).
% 0.79/1.20 cnf('0.9.1.0',plain,
% 0.79/1.20 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.79/1.20 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.79/1.20 cnf('0.9.2.0',plain,
% 0.79/1.20 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_8]).
% 0.79/1.20 cnf('0.10.0.0',axiom,
% 0.79/1.20 ( join(X1,complement(X1)) = top ),
% 0.79/1.20 file('/tmp/WALDMEISTER_6888_n013')).
% 0.79/1.20 cnf('0.10.1.0',plain,
% 0.79/1.20 ( join(X1,complement(X1)) = top ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.79/1.20 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.79/1.20 cnf('0.10.2.0',plain,
% 0.79/1.20 ( join(X1,complement(X1)) = top ),
% 0.79/1.20 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_9]).
% 0.79/1.20 cnf('0.11.0.0',axiom,
% 0.79/1.20 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 0.79/1.20 file('/tmp/WALDMEISTER_6888_n013')).
% 0.79/1.20 cnf('0.11.1.0',plain,
% 0.79/1.20 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.79/1.20 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.79/1.20 cnf('0.11.1.1',plain,
% 0.79/1.20 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.11.1.0','0.8.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.11.2.0',plain,
% 0.79/1.20 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.11.1.1',theory(equality)]),
% 0.79/1.20 [u,rule_10]).
% 0.79/1.20 cnf('0.12.0.0',axiom,
% 0.79/1.20 ( join(composition(sk1,converse(sk2)),sk3) = sk3 ),
% 0.79/1.20 file('/tmp/WALDMEISTER_6888_n013')).
% 0.79/1.20 cnf('0.12.1.0',plain,
% 0.79/1.20 ( join(composition(sk1,converse(sk2)),sk3) = sk3 ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.79/1.20 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.79/1.20 cnf('0.12.1.1',plain,
% 0.79/1.20 ( join(sk3,composition(sk1,converse(sk2))) = sk3 ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.12.1.0','0.8.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.12.2.0',plain,
% 0.79/1.20 ( join(sk3,composition(sk1,converse(sk2))) = sk3 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.12.1.1',theory(equality)]),
% 0.79/1.20 [u,rule_11]).
% 0.79/1.20 cnf('0.13.0.0',axiom,
% 0.79/1.20 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.79/1.20 file('/tmp/WALDMEISTER_6888_n013')).
% 0.79/1.20 cnf('0.13.1.0',plain,
% 0.79/1.20 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.79/1.20 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.79/1.20 cnf('0.13.2.0',plain,
% 0.79/1.20 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_12]).
% 0.79/1.20 cnf('0.16.0.0',axiom,
% 0.79/1.20 ( meet(X1,X2) = complement(join(complement(X1),complement(X2))) ),
% 0.79/1.20 file('/tmp/WALDMEISTER_6888_n013')).
% 0.79/1.20 cnf('0.16.1.0',plain,
% 0.79/1.20 ( meet(X1,X2) = complement(join(complement(X1),complement(X2))) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.79/1.20 [weight('<15,0,0,[0,0,0,16]>')]).
% 0.79/1.20 cnf('0.16.2.0',plain,
% 0.79/1.20 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_15]).
% 0.79/1.20 cnf('0.17.0.0',axiom,
% 0.79/1.20 ( meet(X1,complement(X1)) = zero ),
% 0.79/1.20 file('/tmp/WALDMEISTER_6888_n013')).
% 0.79/1.20 cnf('0.17.1.0',plain,
% 0.79/1.20 ( meet(X1,complement(X1)) = zero ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.79/1.20 [weight('<16,0,0,[0,0,0,17]>')]).
% 0.79/1.20 cnf('0.17.2.0',plain,
% 0.79/1.20 ( meet(X1,complement(X1)) = zero ),
% 0.79/1.20 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_16]).
% 0.79/1.20 cnf('0.18.0.0',plain,
% 0.79/1.20 ( meet(X1,complement(X1)) = complement(top) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.16.2.0','0.10.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.18.1.0',plain,
% 0.79/1.20 ( meet(X1,complement(X1)) = complement(top) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.79/1.20 [weight('<34,16,10,[1,0,0,1]>')]).
% 0.79/1.20 cnf('0.18.1.1',plain,
% 0.79/1.20 ( zero = complement(top) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.18.1.0','0.17.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.18.2.0',plain,
% 0.79/1.20 ( complement(top) = zero ),
% 0.79/1.20 inference(orient,[status(thm)],['0.18.1.1',theory(equality)]),
% 0.79/1.20 [x,rule_17]).
% 0.79/1.20 cnf('0.19.0.0',plain,
% 0.79/1.20 ( top = join(top,zero) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.10.2.0','0.18.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.19.1.0',plain,
% 0.79/1.20 ( top = join(top,zero) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.79/1.20 [weight('<19,18,10,[0,0,0,2]>')]).
% 0.79/1.20 cnf('0.19.1.1',plain,
% 0.79/1.20 ( top = join(zero,top) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.19.1.0','0.8.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.19.2.0',plain,
% 0.79/1.20 ( join(zero,top) = top ),
% 0.79/1.20 inference(orient,[status(thm)],['0.19.1.1',theory(equality)]),
% 0.79/1.20 [x,rule_18]).
% 0.79/1.20 cnf('0.21.0.0',plain,
% 0.79/1.20 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.16.2.0','0.8.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.21.0.1',plain,
% 0.79/1.20 ( meet(X1,X2) = meet(X2,X1) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.21.0.0','0.16.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.21.1.0',plain,
% 0.79/1.20 ( meet(X1,X2) = meet(X2,X1) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.79/1.20 [weight('<48,16,8,[1,0,0,1]>')]).
% 0.79/1.20 cnf('0.21.2.0',plain,
% 0.79/1.20 ( meet(X1,X2) = meet(X2,X1) ),
% 0.79/1.20 inference(activate,[status(thm)],['0.21.1.0']),
% 0.79/1.20 [equation_2]).
% 0.79/1.20 cnf('0.24.0.0',plain,
% 0.79/1.20 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.16.2.0','0.18.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1.1','L')]).
% 0.79/1.20 cnf('0.24.1.0',plain,
% 0.79/1.20 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.79/1.20 [weight('<53,18,16,[0,0,0,2]>')]).
% 0.79/1.20 cnf('0.24.2.0',plain,
% 0.79/1.20 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_22]).
% 0.79/1.20 cnf('0.26.0.0',plain,
% 0.79/1.20 ( join(zero,join(top,X1)) = join(top,X1) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.9.2.0','0.19.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.26.1.0',plain,
% 0.79/1.20 ( join(zero,join(top,X1)) = join(top,X1) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.79/1.20 [weight('<53,19,9,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.26.2.0',plain,
% 0.79/1.20 ( join(zero,join(top,X1)) = join(top,X1) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_24]).
% 0.79/1.20 cnf('0.27.0.0',plain,
% 0.79/1.20 ( join(top,X1) = join(zero,join(X1,top)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.26.2.0','0.8.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.27.1.0',plain,
% 0.79/1.20 ( join(top,X1) = join(zero,join(X1,top)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.79/1.20 [weight('<53,26,8,[1,0,0,2]>')]).
% 0.79/1.20 cnf('0.27.2.0',plain,
% 0.79/1.20 ( join(zero,join(X1,top)) = join(top,X1) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_25]).
% 0.79/1.20 cnf('0.28.0.0',plain,
% 0.79/1.20 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.28.1.0',plain,
% 0.79/1.20 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.79/1.20 [weight('<59,6,3,[1,0,0,1]>')]).
% 0.79/1.20 cnf('0.28.2.0',plain,
% 0.79/1.20 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_26]).
% 0.79/1.20 cnf('0.29.0.0',plain,
% 0.79/1.20 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.29.1.0',plain,
% 0.79/1.20 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.79/1.20 [weight('<59,6,3,[1,0,0,3]>')]).
% 0.79/1.20 cnf('0.29.2.0',plain,
% 0.79/1.20 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_27]).
% 0.79/1.20 cnf('0.30.0.0',plain,
% 0.79/1.20 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.29.2.0','0.1.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.30.0.1',plain,
% 0.79/1.20 ( composition(converse(one),X1) = X1 ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.30.0.0','0.3.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.30.1.0',plain,
% 0.79/1.20 ( composition(converse(one),X1) = X1 ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.79/1.20 [weight('<29,29,1,[1,0,0,1]>')]).
% 0.79/1.20 cnf('0.30.2.0',plain,
% 0.79/1.20 ( composition(converse(one),X1) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_28]).
% 0.79/1.20 cnf('0.31.0.0',plain,
% 0.79/1.20 ( one = converse(one) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.30.2.0','0.1.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.31.1.0',plain,
% 0.79/1.20 ( one = converse(one) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.79/1.20 [weight('<11,30,1,[1,0,0,0]>')]).
% 0.79/1.20 cnf('0.31.2.0',plain,
% 0.79/1.20 ( converse(one) = one ),
% 0.79/1.20 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_29]).
% 0.79/1.20 cnf('0.32.0.0',plain,
% 0.79/1.20 ( composition(converse(one),X1) = X1 ),
% 0.79/1.20 inference(interreduction_right,[status(thm)],['0.30.2.0'])).
% 0.79/1.20 cnf('0.32.0.1',plain,
% 0.79/1.20 ( composition(one,X1) = X1 ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.32.0.0','0.31.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.32.1.0',plain,
% 0.79/1.20 ( composition(one,X1) = X1 ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.79/1.20 [weight('<19,30,31,[0,0,0,0]>')]).
% 0.79/1.20 cnf('0.32.2.0',plain,
% 0.79/1.20 ( composition(one,X1) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_30]).
% 0.79/1.20 cnf('0.35.0.0',plain,
% 0.79/1.20 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.11.2.0','0.32.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2.2.1','L')]).
% 0.79/1.20 cnf('0.35.0.1',plain,
% 0.79/1.20 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.35.0.0','0.31.2.0',theory(equality)]),
% 0.79/1.20 [pos('R.2.1','L')]).
% 0.79/1.20 cnf('0.35.0.2',plain,
% 0.79/1.20 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.35.0.1','0.32.2.0',theory(equality)]),
% 0.79/1.20 [pos('R.2','L')]).
% 0.79/1.20 cnf('0.35.1.0',plain,
% 0.79/1.20 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.35.0.2']),
% 0.79/1.20 [weight('<47,32,11,[0,0,0,7]>')]).
% 0.79/1.20 cnf('0.35.2.0',plain,
% 0.79/1.20 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_33]).
% 0.79/1.20 cnf('0.36.0.0',plain,
% 0.79/1.20 ( complement(top) = join(zero,complement(top)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.35.2.0','0.18.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.36.0.1',plain,
% 0.79/1.20 ( zero = join(zero,complement(top)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.36.0.0','0.18.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.36.0.2',plain,
% 0.79/1.20 ( zero = join(zero,zero) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.36.0.1','0.18.2.0',theory(equality)]),
% 0.79/1.20 [pos('R.2','L')]).
% 0.79/1.20 cnf('0.36.1.0',plain,
% 0.79/1.20 ( zero = join(zero,zero) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.36.0.2']),
% 0.79/1.20 [weight('<19,35,18,[1,0,0,1]>')]).
% 0.79/1.20 cnf('0.36.2.0',plain,
% 0.79/1.20 ( join(zero,zero) = zero ),
% 0.79/1.20 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_34]).
% 0.79/1.20 cnf('0.39.0.0',plain,
% 0.79/1.20 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.16.2.0','0.35.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.39.1.0',plain,
% 0.79/1.20 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.79/1.20 [weight('<48,35,16,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.39.2.0',plain,
% 0.79/1.20 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.79/1.20 inference(activate,[status(thm)],['0.39.1.0']),
% 0.79/1.20 [equation_3]).
% 0.79/1.20 cnf('0.40.0.0',plain,
% 0.79/1.20 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.9.2.0','0.36.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.40.1.0',plain,
% 0.79/1.20 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.40.0.0']),
% 0.79/1.20 [weight('<53,36,9,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.40.2.0',plain,
% 0.79/1.20 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_37]).
% 0.79/1.20 cnf('0.41.0.0',plain,
% 0.79/1.20 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.40.2.0','0.8.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.41.1.0',plain,
% 0.79/1.20 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.41.0.0']),
% 0.79/1.20 [weight('<53,40,8,[1,0,0,2]>')]).
% 0.79/1.20 cnf('0.41.2.0',plain,
% 0.79/1.20 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_38]).
% 0.79/1.20 cnf('0.44.0.0',plain,
% 0.79/1.20 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.13.2.0','0.3.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.44.1.0',plain,
% 0.79/1.20 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.79/1.20 [weight('<59,13,3,[1,0,0,1]>')]).
% 0.79/1.20 cnf('0.44.2.0',plain,
% 0.79/1.20 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_41]).
% 0.79/1.20 cnf('0.45.0.0',plain,
% 0.79/1.20 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.13.2.0','0.3.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.45.1.0',plain,
% 0.79/1.20 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.79/1.20 [weight('<59,13,3,[1,0,0,3]>')]).
% 0.79/1.20 cnf('0.45.2.0',plain,
% 0.79/1.20 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_42]).
% 0.79/1.20 cnf('0.46.0.0',plain,
% 0.79/1.20 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.44.2.0','0.10.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.46.1.0',plain,
% 0.79/1.20 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.79/1.20 [weight('<62,44,10,[1,0,0,1]>')]).
% 0.79/1.20 cnf('0.46.2.0',plain,
% 0.79/1.20 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_43]).
% 0.79/1.20 cnf('0.49.0.0',plain,
% 0.79/1.20 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.49.1.0',plain,
% 0.79/1.20 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.79/1.20 [weight('<69,10,9,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.49.2.0',plain,
% 0.79/1.20 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_46]).
% 0.79/1.20 cnf('0.50.0.0',plain,
% 0.79/1.20 ( join(top,complement(X1)) = join(X1,complement(X1)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.49.2.0','0.35.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.50.0.1',plain,
% 0.79/1.20 ( join(top,complement(X1)) = top ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.50.0.0','0.10.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.50.1.0',plain,
% 0.79/1.20 ( join(top,complement(X1)) = top ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.50.0.1']),
% 0.79/1.20 [weight('<29,49,35,[1,0,0,2]>')]).
% 0.79/1.20 cnf('0.50.2.0',plain,
% 0.79/1.20 ( join(top,complement(X1)) = top ),
% 0.79/1.20 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_47]).
% 0.79/1.20 cnf('0.53.0.0',plain,
% 0.79/1.20 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.49.2.0','0.10.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.53.1.0',plain,
% 0.79/1.20 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.79/1.20 [weight('<53,49,10,[1,0,0,2]>')]).
% 0.79/1.20 cnf('0.53.1.1',plain,
% 0.79/1.20 ( top = join(X1,top) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.53.1.0','0.50.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.53.2.0',plain,
% 0.79/1.20 ( join(X1,top) = top ),
% 0.79/1.20 inference(orient,[status(thm)],['0.53.1.1',theory(equality)]),
% 0.79/1.20 [x,rule_50]).
% 0.79/1.20 cnf('0.54.0.0',plain,
% 0.79/1.20 ( join(zero,join(X1,top)) = join(top,X1) ),
% 0.79/1.20 inference(interreduction_right,[status(thm)],['0.27.2.0'])).
% 0.79/1.20 cnf('0.54.0.1',plain,
% 0.79/1.20 ( join(zero,top) = join(top,X1) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.54.0.0','0.53.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.54.0.2',plain,
% 0.79/1.20 ( top = join(top,X1) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.54.0.1','0.53.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.54.1.0',plain,
% 0.79/1.20 ( top = join(top,X1) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.54.0.2']),
% 0.79/1.20 [weight('<19,27,53,[0,0,0,0]>')]).
% 0.79/1.20 cnf('0.54.2.0',plain,
% 0.79/1.20 ( join(top,X1) = top ),
% 0.79/1.20 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_51]).
% 0.79/1.20 cnf('0.55.0.0',plain,
% 0.79/1.20 ( top = converse(top) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.54.2.0','0.46.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.55.1.0',plain,
% 0.79/1.20 ( top = converse(top) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.55.0.0']),
% 0.79/1.20 [weight('<11,54,46,[1,0,0,0]>')]).
% 0.79/1.20 cnf('0.55.2.0',plain,
% 0.79/1.20 ( converse(top) = top ),
% 0.79/1.20 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_52]).
% 0.79/1.20 cnf('0.58.0.0',plain,
% 0.79/1.20 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.6.2.0','0.55.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.58.1.0',plain,
% 0.79/1.20 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.79/1.20 [weight('<44,55,6,[0,0,0,3]>')]).
% 0.79/1.20 cnf('0.58.2.0',plain,
% 0.79/1.20 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_55]).
% 0.79/1.20 cnf('0.59.0.0',plain,
% 0.79/1.20 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.79/1.20 inference(interreduction_right,[status(thm)],['0.46.2.0'])).
% 0.79/1.20 cnf('0.59.0.1',plain,
% 0.79/1.20 ( join(X1,converse(complement(converse(X1)))) = top ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.59.0.0','0.55.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.59.1.0',plain,
% 0.79/1.20 ( join(X1,converse(complement(converse(X1)))) = top ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.59.0.1']),
% 0.79/1.20 [weight('<55,46,55,[0,0,0,0]>')]).
% 0.79/1.20 cnf('0.59.2.0',plain,
% 0.79/1.20 ( join(X1,converse(complement(converse(X1)))) = top ),
% 0.79/1.20 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_56]).
% 0.79/1.20 cnf('0.60.0.0',plain,
% 0.79/1.20 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.79/1.20 inference(interreduction_right,[status(thm)],['0.49.2.0'])).
% 0.79/1.20 cnf('0.60.0.1',plain,
% 0.79/1.20 ( join(X1,join(complement(X1),X2)) = top ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.60.0.0','0.54.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.60.1.0',plain,
% 0.79/1.20 ( join(X1,join(complement(X1),X2)) = top ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.60.0.1']),
% 0.79/1.20 [weight('<55,49,54,[0,0,0,0]>')]).
% 0.79/1.20 cnf('0.60.2.0',plain,
% 0.79/1.20 ( join(X1,join(complement(X1),X2)) = top ),
% 0.79/1.20 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_57]).
% 0.79/1.20 cnf('0.61.0.0',axiom,
% 0.79/1.20 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 0.79/1.20 file('/tmp/WALDMEISTER_6888_n013')).
% 0.79/1.20 cnf('0.61.1.0',plain,
% 0.79/1.20 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.79/1.20 [weight('<0,0,0,[0,0,0,2]>')]).
% 0.79/1.20 cnf('0.61.1.1',plain,
% 0.79/1.20 ( X1 = join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.61.1.0','0.8.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.61.1.2',plain,
% 0.79/1.20 ( X1 = join(complement(join(complement(X1),X2)),meet(X1,X2)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.61.1.1','0.16.2.0',theory(equality)]),
% 0.79/1.20 [pos('R.2','L')]).
% 0.79/1.20 cnf('0.61.1.3',plain,
% 0.79/1.20 ( X1 = join(meet(X1,X2),complement(join(complement(X1),X2))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.61.1.2','0.8.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.61.2.0',plain,
% 0.79/1.20 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.61.1.3',theory(equality)]),
% 0.79/1.20 [x,rule_58]).
% 0.79/1.20 cnf('0.62.0.0',plain,
% 0.79/1.20 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.61.2.0','0.17.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.62.0.1',plain,
% 0.79/1.20 ( X1 = join(zero,meet(X1,X1)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.62.0.0','0.16.2.0',theory(equality)]),
% 0.79/1.20 [pos('R.2','L')]).
% 0.79/1.20 cnf('0.62.1.0',plain,
% 0.79/1.20 ( X1 = join(zero,meet(X1,X1)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.62.0.1']),
% 0.79/1.20 [weight('<41,61,17,[1,0,0,1]>')]).
% 0.79/1.20 cnf('0.62.2.0',plain,
% 0.79/1.20 ( join(zero,meet(X1,X1)) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_59]).
% 0.79/1.20 cnf('0.63.0.0',plain,
% 0.79/1.20 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.40.2.0','0.62.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.63.0.1',plain,
% 0.79/1.20 ( X1 = join(zero,X1) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.63.0.0','0.62.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.63.1.0',plain,
% 0.79/1.20 ( X1 = join(zero,X1) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.63.0.1']),
% 0.79/1.20 [weight('<19,62,40,[0,0,0,2]>')]).
% 0.79/1.20 cnf('0.63.2.0',plain,
% 0.79/1.20 ( join(zero,X1) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_60]).
% 0.79/1.20 cnf('0.66.0.0',plain,
% 0.79/1.20 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 0.79/1.20 inference(interreduction_right,[status(thm)],['0.41.2.0'])).
% 0.79/1.20 cnf('0.66.0.1',plain,
% 0.79/1.20 ( join(X1,zero) = join(zero,X1) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.66.0.0','0.63.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.66.0.2',plain,
% 0.79/1.20 ( join(X1,zero) = X1 ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.66.0.1','0.63.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.66.1.0',plain,
% 0.79/1.20 ( join(X1,zero) = X1 ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.66.0.2']),
% 0.79/1.20 [weight('<19,41,63,[0,0,0,0]>')]).
% 0.79/1.20 cnf('0.66.2.0',plain,
% 0.79/1.20 ( join(X1,zero) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_63]).
% 0.79/1.20 cnf('0.67.0.0',plain,
% 0.79/1.20 ( join(zero,meet(X1,X1)) = X1 ),
% 0.79/1.20 inference(interreduction_right,[status(thm)],['0.62.2.0'])).
% 0.79/1.20 cnf('0.67.0.1',plain,
% 0.79/1.20 ( meet(X1,X1) = X1 ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.67.0.0','0.63.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.67.1.0',plain,
% 0.79/1.20 ( meet(X1,X1) = X1 ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.67.0.1']),
% 0.79/1.20 [weight('<19,62,63,[0,0,0,0]>')]).
% 0.79/1.20 cnf('0.67.2.0',plain,
% 0.79/1.20 ( meet(X1,X1) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_64]).
% 0.79/1.20 cnf('0.68.0.0',plain,
% 0.79/1.20 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.79/1.20 inference(interreduction_right,[status(thm)],['0.39.2.0'])).
% 0.79/1.20 cnf('0.68.0.1',plain,
% 0.79/1.20 ( X1 = complement(complement(X1)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.68.0.0','0.67.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.68.1.0',plain,
% 0.79/1.20 ( X1 = complement(complement(X1)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.68.0.1']),
% 0.79/1.20 [weight('<19,39,67,[0,0,0,0]>')]).
% 0.79/1.20 cnf('0.68.2.0',plain,
% 0.79/1.20 ( complement(complement(X1)) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_65]).
% 0.79/1.20 cnf('0.71.0.0',plain,
% 0.79/1.20 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.35.2.0','0.68.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.71.0.1',plain,
% 0.79/1.20 ( X1 = join(X1,complement(complement(X1))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.71.0.0','0.68.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.71.0.2',plain,
% 0.79/1.20 ( X1 = join(X1,X1) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.71.0.1','0.68.2.0',theory(equality)]),
% 0.79/1.20 [pos('R.2','L')]).
% 0.79/1.20 cnf('0.71.1.0',plain,
% 0.79/1.20 ( X1 = join(X1,X1) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.71.0.2']),
% 0.79/1.20 [weight('<19,68,35,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.71.2.0',plain,
% 0.79/1.20 ( join(X1,X1) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_68]).
% 0.79/1.20 cnf('0.72.0.0',plain,
% 0.79/1.20 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 0.79/1.20 inference(interreduction_right,[status(thm)],['0.24.2.0'])).
% 0.79/1.20 cnf('0.72.0.1',plain,
% 0.79/1.20 ( complement(complement(X1)) = meet(top,X1) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.72.0.0','0.63.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.72.1.0',plain,
% 0.79/1.20 ( complement(complement(X1)) = meet(top,X1) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.72.0.1']),
% 0.79/1.20 [weight('<27,24,63,[0,0,0,0]>')]).
% 0.79/1.20 cnf('0.72.1.1',plain,
% 0.79/1.20 ( X1 = meet(top,X1) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.72.1.0','0.68.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.72.2.0',plain,
% 0.79/1.20 ( meet(top,X1) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.72.1.1',theory(equality)]),
% 0.79/1.20 [x,rule_69]).
% 0.79/1.20 cnf('0.73.0.0',plain,
% 0.79/1.20 ( X1 = meet(X1,top) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.72.2.0','0.21.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.73.1.0',plain,
% 0.79/1.20 ( X1 = meet(X1,top) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.73.0.0']),
% 0.79/1.20 [weight('<19,72,21,[1,0,0,0]>')]).
% 0.79/1.20 cnf('0.73.2.0',plain,
% 0.79/1.20 ( meet(X1,top) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_70]).
% 0.79/1.20 cnf('0.75.0.0',plain,
% 0.79/1.20 ( join(converse(zero),X1) = converse(converse(X1)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.45.2.0','0.63.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.75.0.1',plain,
% 0.79/1.20 ( join(converse(zero),X1) = X1 ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.75.0.0','0.3.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.75.1.0',plain,
% 0.79/1.20 ( join(converse(zero),X1) = X1 ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.75.0.1']),
% 0.79/1.20 [weight('<29,63,45,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.75.2.0',plain,
% 0.79/1.20 ( join(converse(zero),X1) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_72]).
% 0.79/1.20 cnf('0.76.0.0',plain,
% 0.79/1.20 ( zero = converse(zero) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.75.2.0','0.66.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.76.1.0',plain,
% 0.79/1.20 ( zero = converse(zero) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.76.0.0']),
% 0.79/1.20 [weight('<11,75,66,[1,0,0,0]>')]).
% 0.79/1.20 cnf('0.76.2.0',plain,
% 0.79/1.20 ( converse(zero) = zero ),
% 0.79/1.20 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_73]).
% 0.79/1.20 cnf('0.78.0.0',plain,
% 0.79/1.20 ( converse(composition(zero,X1)) = composition(converse(X1),zero) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.6.2.0','0.76.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.78.1.0',plain,
% 0.79/1.20 ( converse(composition(zero,X1)) = composition(converse(X1),zero) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.78.0.0']),
% 0.79/1.20 [weight('<44,76,6,[0,0,0,3]>')]).
% 0.79/1.20 cnf('0.78.2.0',plain,
% 0.79/1.20 ( converse(composition(zero,X1)) = composition(converse(X1),zero) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_75]).
% 0.79/1.20 cnf('0.79.0.0',plain,
% 0.79/1.20 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.9.2.0','0.71.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.79.1.0',plain,
% 0.79/1.20 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.79.0.0']),
% 0.79/1.20 [weight('<53,71,9,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.79.2.0',plain,
% 0.79/1.20 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_76]).
% 0.79/1.20 cnf('0.80.0.0',plain,
% 0.79/1.20 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.79.2.0','0.61.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.80.0.1',plain,
% 0.79/1.20 ( X1 = join(meet(X1,X2),X1) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.80.0.0','0.61.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.80.1.0',plain,
% 0.79/1.20 ( X1 = join(meet(X1,X2),X1) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.80.0.1']),
% 0.79/1.20 [weight('<41,79,61,[1,0,0,2]>')]).
% 0.79/1.20 cnf('0.80.1.1',plain,
% 0.79/1.20 ( X1 = join(X1,meet(X1,X2)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.80.1.0','0.8.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.80.2.0',plain,
% 0.79/1.20 ( join(X1,meet(X1,X2)) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.80.1.1',theory(equality)]),
% 0.79/1.20 [x,rule_77]).
% 0.79/1.20 cnf('0.81.0.0',plain,
% 0.79/1.20 ( X1 = join(X1,meet(X2,X1)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.80.2.0','0.21.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.81.1.0',plain,
% 0.79/1.20 ( X1 = join(X1,meet(X2,X1)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.81.0.0']),
% 0.79/1.20 [weight('<41,80,21,[1,0,0,2]>')]).
% 0.79/1.20 cnf('0.81.2.0',plain,
% 0.79/1.20 ( join(X1,meet(X2,X1)) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_78]).
% 0.79/1.20 cnf('0.82.0.0',plain,
% 0.79/1.20 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.79.2.0','0.8.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.82.1.0',plain,
% 0.79/1.20 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.82.0.0']),
% 0.79/1.20 [weight('<53,79,8,[1,0,0,2]>')]).
% 0.79/1.20 cnf('0.82.2.0',plain,
% 0.79/1.20 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_79]).
% 0.79/1.20 cnf('0.83.0.0',plain,
% 0.79/1.20 ( top = join(X1,join(X2,complement(X1))) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.60.2.0','0.8.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.83.1.0',plain,
% 0.79/1.20 ( top = join(X1,join(X2,complement(X1))) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.83.0.0']),
% 0.79/1.20 [weight('<55,60,8,[1,0,0,2]>')]).
% 0.79/1.20 cnf('0.83.2.0',plain,
% 0.79/1.20 ( join(X1,join(X2,complement(X1))) = top ),
% 0.79/1.20 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_80]).
% 0.79/1.20 cnf('0.84.0.0',plain,
% 0.79/1.20 ( X1 = join(meet(X1,join(X2,complement(complement(X1)))),complement(top)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.61.2.0','0.83.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2.1','L')]).
% 0.79/1.20 cnf('0.84.0.1',plain,
% 0.79/1.20 ( X1 = join(meet(X1,join(X2,X1)),complement(top)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.84.0.0','0.68.2.0',theory(equality)]),
% 0.79/1.20 [pos('R.1.2.2','L')]).
% 0.79/1.20 cnf('0.84.0.2',plain,
% 0.79/1.20 ( X1 = join(meet(X1,join(X2,X1)),zero) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.84.0.1','0.18.2.0',theory(equality)]),
% 0.79/1.20 [pos('R.2','L')]).
% 0.79/1.20 cnf('0.84.0.3',plain,
% 0.79/1.20 ( X1 = meet(X1,join(X2,X1)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.84.0.2','0.66.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.84.1.0',plain,
% 0.79/1.20 ( X1 = meet(X1,join(X2,X1)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.84.0.3']),
% 0.79/1.20 [weight('<41,83,61,[0,0,0,5]>')]).
% 0.79/1.20 cnf('0.84.2.0',plain,
% 0.79/1.20 ( meet(X1,join(X2,X1)) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_81]).
% 0.79/1.20 cnf('0.91.0.0',plain,
% 0.79/1.20 ( join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),top) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.82.2.0','0.60.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.91.0.1',plain,
% 0.79/1.20 ( join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),top) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.91.0.0','0.9.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.91.0.2',plain,
% 0.79/1.20 ( join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,top)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.91.0.1','0.9.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.91.0.3',plain,
% 0.79/1.20 ( join(complement(X1),join(X2,X1)) = join(complement(X1),top) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.91.0.2','0.53.2.0',theory(equality)]),
% 0.79/1.20 [pos('R.2','L')]).
% 0.79/1.20 cnf('0.91.0.4',plain,
% 0.79/1.20 ( join(complement(X1),join(X2,X1)) = top ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.91.0.3','0.53.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.91.1.0',plain,
% 0.79/1.20 ( join(complement(X1),join(X2,X1)) = top ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.91.0.4']),
% 0.79/1.20 [weight('<55,82,60,[1,0,0,2]>')]).
% 0.79/1.20 cnf('0.91.2.0',plain,
% 0.79/1.20 ( join(complement(X1),join(X2,X1)) = top ),
% 0.79/1.20 inference(orient,[status(thm)],['0.91.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_88]).
% 0.79/1.20 cnf('0.93.0.0',plain,
% 0.79/1.20 ( top = join(complement(meet(X1,X2)),X2) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.91.2.0','0.81.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.93.1.0',plain,
% 0.79/1.20 ( top = join(complement(meet(X1,X2)),X2) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.93.0.0']),
% 0.79/1.20 [weight('<55,91,81,[1,0,0,3]>')]).
% 0.79/1.20 cnf('0.93.1.1',plain,
% 0.79/1.20 ( top = join(X2,complement(meet(X1,X2))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.93.1.0','0.8.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.93.2.0',plain,
% 0.79/1.20 ( join(X1,complement(meet(X2,X1))) = top ),
% 0.79/1.20 inference(orient,[status(thm)],['0.93.1.1',theory(equality)]),
% 0.79/1.20 [x,rule_90]).
% 0.79/1.20 cnf('0.95.0.0',plain,
% 0.79/1.20 ( meet(X1,meet(X2,complement(X1))) = complement(top) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.16.2.0','0.93.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.95.0.1',plain,
% 0.79/1.20 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.95.0.0','0.18.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.95.1.0',plain,
% 0.79/1.20 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.95.0.1']),
% 0.79/1.20 [weight('<55,93,16,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.95.2.0',plain,
% 0.79/1.20 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 0.79/1.20 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_92]).
% 0.79/1.20 cnf('0.97.0.0',plain,
% 0.79/1.20 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.95.2.0','0.68.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2.2','L')]).
% 0.79/1.20 cnf('0.97.1.0',plain,
% 0.79/1.20 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.97.0.0']),
% 0.79/1.20 [weight('<55,95,68,[1,0,0,4]>')]).
% 0.79/1.20 cnf('0.97.2.0',plain,
% 0.79/1.20 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 0.79/1.20 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_94]).
% 0.79/1.20 cnf('0.98.0.0',plain,
% 0.79/1.20 ( zero = meet(complement(join(X1,X2)),X2) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.97.2.0','0.84.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.98.1.0',plain,
% 0.79/1.20 ( zero = meet(complement(join(X1,X2)),X2) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.98.0.0']),
% 0.79/1.20 [weight('<55,97,84,[1,0,0,3]>')]).
% 0.79/1.20 cnf('0.98.1.1',plain,
% 0.79/1.20 ( zero = meet(X2,complement(join(X1,X2))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.98.1.0','0.21.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.98.2.0',plain,
% 0.79/1.20 ( meet(X1,complement(join(X2,X1))) = zero ),
% 0.79/1.20 inference(orient,[status(thm)],['0.98.1.1',theory(equality)]),
% 0.79/1.20 [x,rule_95]).
% 0.79/1.20 cnf('0.100.0.0',plain,
% 0.79/1.20 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.16.2.0','0.68.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1.1','L')]).
% 0.79/1.20 cnf('0.100.1.0',plain,
% 0.79/1.20 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.100.0.0']),
% 0.79/1.20 [weight('<59,68,16,[0,0,0,2]>')]).
% 0.79/1.20 cnf('0.100.2.0',plain,
% 0.79/1.20 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_97]).
% 0.79/1.20 cnf('0.101.0.0',plain,
% 0.79/1.20 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.100.2.0','0.8.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.101.1.0',plain,
% 0.79/1.20 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.101.0.0']),
% 0.79/1.20 [weight('<59,100,8,[1,0,0,1]>')]).
% 0.79/1.20 cnf('0.101.2.0',plain,
% 0.79/1.20 ( complement(join(complement(X1),X2)) = meet(complement(X2),X1) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_98]).
% 0.79/1.20 cnf('0.102.0.0',plain,
% 0.79/1.20 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.68.2.0','0.100.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.102.1.0',plain,
% 0.79/1.20 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.102.0.0']),
% 0.79/1.20 [weight('<59,100,68,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.102.2.0',plain,
% 0.79/1.20 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_99]).
% 0.79/1.20 cnf('0.104.0.0',plain,
% 0.79/1.20 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.102.2.0','0.21.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.104.1.0',plain,
% 0.79/1.20 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.104.0.0']),
% 0.79/1.20 [weight('<59,102,21,[1,0,0,1]>')]).
% 0.79/1.20 cnf('0.104.2.0',plain,
% 0.79/1.20 ( complement(meet(X1,complement(X2))) = join(X2,complement(X1)) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_101]).
% 0.79/1.20 cnf('0.105.0.0',plain,
% 0.79/1.20 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.102.2.0','0.68.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1.1','L')]).
% 0.79/1.20 cnf('0.105.1.0',plain,
% 0.79/1.20 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.105.0.0']),
% 0.79/1.20 [weight('<59,102,68,[1,0,0,2]>')]).
% 0.79/1.20 cnf('0.105.2.0',plain,
% 0.79/1.20 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_102]).
% 0.79/1.20 cnf('0.118.0.0',plain,
% 0.79/1.20 ( zero = meet(composition(sk1,converse(sk2)),complement(sk3)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.98.2.0','0.12.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2.1','L')]).
% 0.79/1.20 cnf('0.118.1.0',plain,
% 0.79/1.20 ( zero = meet(composition(sk1,converse(sk2)),complement(sk3)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.118.0.0']),
% 0.79/1.20 [weight('<71,98,12,[1,0,0,3]>')]).
% 0.79/1.20 cnf('0.118.1.1',plain,
% 0.79/1.20 ( zero = meet(complement(sk3),composition(sk1,converse(sk2))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.118.1.0','0.21.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.118.2.0',plain,
% 0.79/1.20 ( meet(complement(sk3),composition(sk1,converse(sk2))) = zero ),
% 0.79/1.20 inference(orient,[status(thm)],['0.118.1.1',theory(equality)]),
% 0.79/1.20 [x,rule_115]).
% 0.79/1.20 cnf('0.135.0.0',plain,
% 0.79/1.20 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.9.2.0','0.81.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.135.1.0',plain,
% 0.79/1.20 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.135.0.0']),
% 0.79/1.20 [weight('<87,81,9,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.135.2.0',plain,
% 0.79/1.20 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.135.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_132]).
% 0.79/1.20 cnf('0.150.0.0',plain,
% 0.79/1.20 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 0.79/1.20 inference(interreduction_right,[status(thm)],['0.61.2.0'])).
% 0.79/1.20 cnf('0.150.0.1',plain,
% 0.79/1.20 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.150.0.0','0.101.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.150.1.0',plain,
% 0.79/1.20 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.150.0.1']),
% 0.79/1.20 [weight('<89,61,101,[0,0,0,0]>')]).
% 0.79/1.20 cnf('0.150.2.0',plain,
% 0.79/1.20 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.150.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_147]).
% 0.79/1.20 cnf('0.151.0.0',plain,
% 0.79/1.20 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.135.2.0','0.150.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.151.1.0',plain,
% 0.79/1.20 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.151.0.0']),
% 0.79/1.20 [weight('<69,150,135,[0,0,0,2]>')]).
% 0.79/1.20 cnf('0.151.2.0',plain,
% 0.79/1.20 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.151.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_148]).
% 0.79/1.20 cnf('0.155.0.0',plain,
% 0.79/1.20 ( meet(complement(meet(complement(complement(X1)),X2)),X1) = complement(join(complement(X1),X2)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.101.2.0','0.151.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.155.0.1',plain,
% 0.79/1.20 ( meet(join(complement(X1),complement(X2)),X1) = complement(join(complement(X1),X2)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.155.0.0','0.102.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.155.0.2',plain,
% 0.79/1.20 ( meet(complement(meet(X1,X2)),X1) = complement(join(complement(X1),X2)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.155.0.1','0.105.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.155.0.3',plain,
% 0.79/1.20 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.155.0.2','0.101.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.155.1.0',plain,
% 0.79/1.20 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.155.0.3']),
% 0.79/1.20 [weight('<76,151,101,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.155.1.1',plain,
% 0.79/1.20 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.155.1.0','0.21.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.155.2.0',plain,
% 0.79/1.20 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.155.1.1',theory(equality)]),
% 0.79/1.20 [u,rule_152]).
% 0.79/1.20 cnf('0.156.0.0',plain,
% 0.79/1.20 ( meet(complement(complement(X1)),X2) = meet(X2,join(X1,complement(X2))) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.155.2.0','0.104.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.156.0.1',plain,
% 0.79/1.20 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.156.0.0','0.68.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.156.1.0',plain,
% 0.79/1.20 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.156.0.1']),
% 0.79/1.20 [weight('<69,155,104,[1,0,0,2]>')]).
% 0.79/1.20 cnf('0.156.2.0',plain,
% 0.79/1.20 ( meet(X1,join(X2,complement(X1))) = meet(X2,X1) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.156.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_153]).
% 0.79/1.20 cnf('0.157.0.0',plain,
% 0.79/1.20 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.156.2.0','0.8.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.157.1.0',plain,
% 0.79/1.20 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.157.0.0']),
% 0.79/1.20 [weight('<69,156,8,[1,0,0,2]>')]).
% 0.79/1.20 cnf('0.157.2.0',plain,
% 0.79/1.20 ( meet(X1,join(complement(X1),X2)) = meet(X2,X1) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_154]).
% 0.79/1.20 cnf('0.158.0.0',plain,
% 0.79/1.20 ( meet(converse(complement(converse(complement(X1)))),X1) = meet(X1,top) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.157.2.0','0.59.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.158.0.1',plain,
% 0.79/1.20 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.158.0.0','0.73.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.158.1.0',plain,
% 0.79/1.20 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.158.0.1']),
% 0.79/1.20 [weight('<71,157,59,[1,0,0,2]>')]).
% 0.79/1.20 cnf('0.158.1.1',plain,
% 0.79/1.20 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.158.1.0','0.21.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.158.2.0',plain,
% 0.79/1.20 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.158.1.1',theory(equality)]),
% 0.79/1.20 [u,rule_155]).
% 0.79/1.20 cnf('0.159.0.0',plain,
% 0.79/1.20 ( join(X1,complement(converse(complement(converse(complement(complement(X1))))))) = complement(complement(X1)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.102.2.0','0.158.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.159.0.1',plain,
% 0.79/1.20 ( join(X1,complement(converse(complement(converse(X1))))) = complement(complement(X1)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.159.0.0','0.68.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2.1.1.1.1','L')]).
% 0.79/1.20 cnf('0.159.0.2',plain,
% 0.79/1.20 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.159.0.1','0.68.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.159.1.0',plain,
% 0.79/1.20 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.159.0.2']),
% 0.79/1.20 [weight('<71,158,102,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.159.2.0',plain,
% 0.79/1.20 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_156]).
% 0.79/1.20 cnf('0.163.0.0',axiom,
% 0.79/1.20 ( join(meet(composition(X1,X2),X3),meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3)) = meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3) ),
% 0.79/1.20 file('/tmp/WALDMEISTER_6888_n013')).
% 0.79/1.20 cnf('0.163.1.0',plain,
% 0.79/1.20 ( join(meet(composition(X1,X2),X3),meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3)) = meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.163.0.0']),
% 0.79/1.20 [weight('<0,0,0,[0,0,0,15]>')]).
% 0.79/1.20 cnf('0.163.1.1',plain,
% 0.79/1.20 ( join(meet(composition(X1,X2),X3),meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2))) = meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.163.1.0','0.21.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.163.1.2',plain,
% 0.79/1.20 ( join(meet(composition(X1,X2),X3),meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2))) = meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.163.1.1','0.21.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.163.2.0',plain,
% 0.79/1.20 ( join(meet(composition(X1,X2),X3),meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2))) = meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2)) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.163.1.2',theory(equality)]),
% 0.79/1.20 [u,rule_160]).
% 0.79/1.20 cnf('0.171.0.0',plain,
% 0.79/1.20 ( join(X1,converse(complement(converse(complement(converse(converse(X1))))))) = converse(converse(X1)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.44.2.0','0.159.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.171.0.1',plain,
% 0.79/1.20 ( join(X1,converse(complement(converse(complement(X1))))) = converse(converse(X1)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.171.0.0','0.3.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2.1.1.1.1','L')]).
% 0.79/1.20 cnf('0.171.0.2',plain,
% 0.79/1.20 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.171.0.1','0.3.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.171.1.0',plain,
% 0.79/1.20 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.171.0.2']),
% 0.79/1.20 [weight('<71,159,44,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.171.2.0',plain,
% 0.79/1.20 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.171.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_168]).
% 0.79/1.20 cnf('0.174.0.0',plain,
% 0.79/1.20 ( meet(complement(converse(complement(converse(complement(complement(X1)))))),X1) = complement(complement(X1)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.101.2.0','0.171.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.174.0.1',plain,
% 0.79/1.20 ( meet(complement(converse(complement(converse(X1)))),X1) = complement(complement(X1)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.174.0.0','0.68.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1.1.1.1.1','L')]).
% 0.79/1.20 cnf('0.174.0.2',plain,
% 0.79/1.20 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.174.0.1','0.68.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.174.1.0',plain,
% 0.79/1.20 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.174.0.2']),
% 0.79/1.20 [weight('<71,171,101,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.174.1.1',plain,
% 0.79/1.20 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.174.1.0','0.21.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.174.2.0',plain,
% 0.79/1.20 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.174.1.1',theory(equality)]),
% 0.79/1.20 [u,rule_171]).
% 0.79/1.20 cnf('0.179.0.0',plain,
% 0.79/1.20 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.156.2.0','0.68.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2.2','L')]).
% 0.79/1.20 cnf('0.179.1.0',plain,
% 0.79/1.20 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.179.0.0']),
% 0.79/1.20 [weight('<76,156,68,[1,0,0,4]>')]).
% 0.79/1.20 cnf('0.179.2.0',plain,
% 0.79/1.20 ( meet(complement(X1),join(X2,X1)) = meet(X2,complement(X1)) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.179.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_176]).
% 0.79/1.20 cnf('0.180.0.0',plain,
% 0.79/1.20 ( meet(X1,complement(converse(complement(converse(X1))))) = meet(complement(converse(complement(converse(X1)))),top) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.179.2.0','0.59.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.180.0.1',plain,
% 0.79/1.20 ( X1 = meet(complement(converse(complement(converse(X1)))),top) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.180.0.0','0.174.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.180.0.2',plain,
% 0.79/1.20 ( X1 = complement(converse(complement(converse(X1)))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.180.0.1','0.73.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.180.1.0',plain,
% 0.79/1.20 ( X1 = complement(converse(complement(converse(X1)))) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.180.0.2']),
% 0.79/1.20 [weight('<41,179,59,[1,0,0,3]>')]).
% 0.79/1.20 cnf('0.180.2.0',plain,
% 0.79/1.20 ( complement(converse(complement(converse(X1)))) = X1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.180.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_177]).
% 0.79/1.20 cnf('0.181.0.0',plain,
% 0.79/1.20 ( converse(X1) = complement(converse(complement(X1))) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.180.2.0','0.3.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1.1.1','L')]).
% 0.79/1.20 cnf('0.181.1.0',plain,
% 0.79/1.20 ( converse(X1) = complement(converse(complement(X1))) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.181.0.0']),
% 0.79/1.20 [weight('<34,180,3,[1,0,0,3]>')]).
% 0.79/1.20 cnf('0.181.2.0',plain,
% 0.79/1.20 ( complement(converse(complement(X1))) = converse(X1) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.181.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_178]).
% 0.79/1.20 cnf('0.182.0.0',plain,
% 0.79/1.20 ( converse(complement(X1)) = complement(converse(X1)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.68.2.0','0.181.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.182.1.0',plain,
% 0.79/1.20 ( converse(complement(X1)) = complement(converse(X1)) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.182.0.0']),
% 0.79/1.20 [weight('<27,181,68,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.182.2.0',plain,
% 0.79/1.20 ( converse(complement(X1)) = complement(converse(X1)) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.182.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_179]).
% 0.79/1.20 cnf('0.413.0.0',plain,
% 0.79/1.20 ( meet(top,composition(meet(X1,composition(top,converse(X2))),X2)) = join(meet(composition(X1,X2),top),composition(meet(X1,composition(top,converse(X2))),X2)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.163.2.0','0.72.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.413.0.1',plain,
% 0.79/1.20 ( composition(meet(X1,composition(top,converse(X2))),X2) = join(meet(composition(X1,X2),top),composition(meet(X1,composition(top,converse(X2))),X2)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.413.0.0','0.72.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.413.0.2',plain,
% 0.79/1.20 ( composition(meet(X1,composition(top,converse(X2))),X2) = join(composition(X1,X2),composition(meet(X1,composition(top,converse(X2))),X2)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.413.0.1','0.73.2.0',theory(equality)]),
% 0.79/1.20 [pos('R.1','L')]).
% 0.79/1.20 cnf('0.413.0.3',plain,
% 0.79/1.20 ( composition(meet(X1,composition(top,converse(X2))),X2) = composition(join(X1,meet(X1,composition(top,converse(X2)))),X2) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.413.0.2','0.5.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.413.0.4',plain,
% 0.79/1.20 ( composition(meet(X1,composition(top,converse(X2))),X2) = composition(X1,X2) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.413.0.3','0.80.2.0',theory(equality)]),
% 0.79/1.20 [pos('R.1','L')]).
% 0.79/1.20 cnf('0.413.1.0',plain,
% 0.79/1.20 ( composition(meet(X1,composition(top,converse(X2))),X2) = composition(X1,X2) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.413.0.4']),
% 0.79/1.20 [weight('<107,163,72,[1,0,0,6]>')]).
% 0.79/1.20 cnf('0.413.2.0',plain,
% 0.79/1.20 ( composition(meet(X1,composition(top,converse(X2))),X2) = composition(X1,X2) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.413.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_408]).
% 0.79/1.20 cnf('0.545.0.0',plain,
% 0.79/1.20 ( composition(X1,X2) = composition(meet(composition(top,converse(X2)),X1),X2) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.413.2.0','0.21.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.545.1.0',plain,
% 0.79/1.20 ( composition(X1,X2) = composition(meet(composition(top,converse(X2)),X1),X2) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.545.0.0']),
% 0.79/1.20 [weight('<107,413,21,[1,0,0,1]>')]).
% 0.79/1.20 cnf('0.545.2.0',plain,
% 0.79/1.20 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(X2,X1) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.545.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_537]).
% 0.79/1.20 cnf('0.546.0.0',plain,
% 0.79/1.20 ( composition(complement(composition(top,converse(X1))),X1) = composition(zero,X1) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.545.2.0','0.17.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.546.1.0',plain,
% 0.79/1.20 ( composition(complement(composition(top,converse(X1))),X1) = composition(zero,X1) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.546.0.0']),
% 0.79/1.20 [weight('<87,545,17,[1,0,0,1]>')]).
% 0.79/1.20 cnf('0.546.2.0',plain,
% 0.79/1.20 ( composition(complement(composition(top,converse(X1))),X1) = composition(zero,X1) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.546.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_538]).
% 0.79/1.20 cnf('0.547.0.0',plain,
% 0.79/1.20 ( composition(X1,converse(complement(composition(top,converse(converse(X1)))))) = converse(composition(zero,converse(X1))) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.28.2.0','0.546.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.547.0.1',plain,
% 0.79/1.20 ( composition(X1,complement(converse(composition(top,converse(converse(X1)))))) = converse(composition(zero,converse(X1))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.547.0.0','0.182.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.547.0.2',plain,
% 0.79/1.20 ( composition(X1,complement(composition(converse(converse(converse(X1))),top))) = converse(composition(zero,converse(X1))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.547.0.1','0.58.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2.1','L')]).
% 0.79/1.20 cnf('0.547.0.3',plain,
% 0.79/1.20 ( composition(X1,complement(composition(converse(X1),top))) = converse(composition(zero,converse(X1))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.547.0.2','0.3.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2.1.1','L')]).
% 0.79/1.20 cnf('0.547.0.4',plain,
% 0.79/1.20 ( composition(X1,complement(composition(converse(X1),top))) = composition(converse(converse(X1)),zero) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.547.0.3','0.78.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.547.0.5',plain,
% 0.79/1.20 ( composition(X1,complement(composition(converse(X1),top))) = composition(X1,zero) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.547.0.4','0.3.2.0',theory(equality)]),
% 0.79/1.20 [pos('R.1','L')]).
% 0.79/1.20 cnf('0.547.1.0',plain,
% 0.79/1.20 ( composition(X1,complement(composition(converse(X1),top))) = composition(X1,zero) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.547.0.5']),
% 0.79/1.20 [weight('<87,546,28,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.547.2.0',plain,
% 0.79/1.20 ( composition(X1,complement(composition(converse(X1),top))) = composition(X1,zero) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.547.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_539]).
% 0.79/1.20 cnf('0.549.0.0',plain,
% 0.79/1.20 ( composition(converse(X1),zero) = composition(converse(X1),complement(composition(X1,top))) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.547.2.0','0.3.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2.1.1','L')]).
% 0.79/1.20 cnf('0.549.1.0',plain,
% 0.79/1.20 ( composition(converse(X1),zero) = composition(converse(X1),complement(composition(X1,top))) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.549.0.0']),
% 0.79/1.20 [weight('<95,547,3,[1,0,0,4]>')]).
% 0.79/1.20 cnf('0.549.2.0',plain,
% 0.79/1.20 ( composition(converse(X1),complement(composition(X1,top))) = composition(converse(X1),zero) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.549.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_541]).
% 0.79/1.20 cnf('0.550.0.0',plain,
% 0.79/1.20 ( complement(top) = join(complement(top),composition(converse(X1),zero)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.11.2.0','0.549.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2','L')]).
% 0.79/1.20 cnf('0.550.0.1',plain,
% 0.79/1.20 ( zero = join(complement(top),composition(converse(X1),zero)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.550.0.0','0.18.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.550.0.2',plain,
% 0.79/1.20 ( zero = join(zero,composition(converse(X1),zero)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.550.0.1','0.18.2.0',theory(equality)]),
% 0.79/1.20 [pos('R.1','L')]).
% 0.79/1.20 cnf('0.550.0.3',plain,
% 0.79/1.20 ( zero = composition(converse(X1),zero) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.550.0.2','0.63.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.550.1.0',plain,
% 0.79/1.20 ( zero = composition(converse(X1),zero) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.550.0.3']),
% 0.79/1.20 [weight('<29,549,11,[0,0,0,3]>')]).
% 0.79/1.20 cnf('0.550.2.0',plain,
% 0.79/1.20 ( composition(converse(X1),zero) = zero ),
% 0.79/1.20 inference(orient,[status(thm)],['0.550.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_542]).
% 0.79/1.20 cnf('0.551.0.0',plain,
% 0.79/1.20 ( zero = composition(X1,zero) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.550.2.0','0.3.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.551.1.0',plain,
% 0.79/1.20 ( zero = composition(X1,zero) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.551.0.0']),
% 0.79/1.20 [weight('<19,550,3,[1,0,0,1]>')]).
% 0.79/1.20 cnf('0.551.2.0',plain,
% 0.79/1.20 ( composition(X1,zero) = zero ),
% 0.79/1.20 inference(orient,[status(thm)],['0.551.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_543]).
% 0.79/1.20 cnf('0.552.0.0',plain,
% 0.79/1.20 ( composition(converse(zero),X1) = converse(zero) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.29.2.0','0.551.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.552.0.1',plain,
% 0.79/1.20 ( composition(zero,X1) = converse(zero) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.552.0.0','0.76.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.552.0.2',plain,
% 0.79/1.20 ( composition(zero,X1) = zero ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.552.0.1','0.76.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.552.1.0',plain,
% 0.79/1.20 ( composition(zero,X1) = zero ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.552.0.2']),
% 0.79/1.20 [weight('<19,551,29,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.552.2.0',plain,
% 0.79/1.20 ( composition(zero,X1) = zero ),
% 0.79/1.20 inference(orient,[status(thm)],['0.552.1.0',theory(equality)]),
% 0.79/1.20 [u,rule_544]).
% 0.79/1.20 cnf('0.571.0.0',plain,
% 0.79/1.20 ( composition(meet(X1,composition(X2,converse(converse(X3)))),meet(converse(X3),composition(converse(X1),X2))) = join(meet(composition(X1,converse(X3)),X2),composition(meet(X1,composition(X2,X3)),meet(converse(X3),composition(converse(X1),X2)))) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2.1.2.2','L')]).
% 0.79/1.20 cnf('0.571.0.1',plain,
% 0.79/1.20 ( composition(meet(X1,composition(X2,X3)),meet(converse(X3),composition(converse(X1),X2))) = join(meet(composition(X1,converse(X3)),X2),composition(meet(X1,composition(X2,X3)),meet(converse(X3),composition(converse(X1),X2)))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.571.0.0','0.3.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1.2.2','L')]).
% 0.79/1.20 cnf('0.571.1.0',plain,
% 0.79/1.20 ( composition(meet(X1,composition(X2,X3)),meet(converse(X3),composition(converse(X1),X2))) = join(meet(composition(X1,converse(X3)),X2),composition(meet(X1,composition(X2,X3)),meet(converse(X3),composition(converse(X1),X2)))) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.571.0.1']),
% 0.79/1.20 [weight('<?,7,3,[1,0,0,11]>')]).
% 0.79/1.20 cnf('0.571.2.0',plain,
% 0.79/1.20 ( join(meet(composition(X1,converse(X2)),X3),composition(meet(X1,composition(X3,X2)),meet(converse(X2),composition(converse(X1),X3)))) = composition(meet(X1,composition(X3,X2)),meet(converse(X2),composition(converse(X1),X3))) ),
% 0.79/1.20 inference(orient,[status(thm)],['0.571.1.0',theory(equality)]),
% 0.79/1.20 [x,rule_563]).
% 0.79/1.20 cnf('0.572.0.0',plain,
% 0.79/1.20 ( composition(meet(complement(sk3),composition(sk1,converse(sk2))),meet(converse(converse(sk2)),composition(converse(complement(sk3)),sk1))) = join(meet(composition(complement(sk3),converse(converse(sk2))),sk1),composition(zero,meet(converse(converse(sk2)),composition(converse(complement(sk3)),sk1)))) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.571.2.0','0.118.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.2.1','L')]).
% 0.79/1.20 cnf('0.572.0.1',plain,
% 0.79/1.20 ( composition(zero,meet(converse(converse(sk2)),composition(converse(complement(sk3)),sk1))) = join(meet(composition(complement(sk3),converse(converse(sk2))),sk1),composition(zero,meet(converse(converse(sk2)),composition(converse(complement(sk3)),sk1)))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.572.0.0','0.118.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.572.0.2',plain,
% 0.79/1.20 ( zero = join(meet(composition(complement(sk3),converse(converse(sk2))),sk1),composition(zero,meet(converse(converse(sk2)),composition(converse(complement(sk3)),sk1)))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.572.0.1','0.552.2.0',theory(equality)]),
% 0.79/1.20 [pos('L','L')]).
% 0.79/1.20 cnf('0.572.0.3',plain,
% 0.79/1.20 ( zero = join(meet(composition(complement(sk3),sk2),sk1),composition(zero,meet(converse(converse(sk2)),composition(converse(complement(sk3)),sk1)))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.572.0.2','0.3.2.0',theory(equality)]),
% 0.79/1.20 [pos('R.1.1.2','L')]).
% 0.79/1.20 cnf('0.572.0.4',plain,
% 0.79/1.20 ( zero = join(meet(composition(complement(sk3),sk2),sk1),zero) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.572.0.3','0.552.2.0',theory(equality)]),
% 0.79/1.20 [pos('R.2','L')]).
% 0.79/1.20 cnf('0.572.0.5',plain,
% 0.79/1.20 ( zero = meet(composition(complement(sk3),sk2),sk1) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.572.0.4','0.66.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.572.1.0',plain,
% 0.79/1.20 ( zero = meet(composition(complement(sk3),sk2),sk1) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.572.0.5']),
% 0.79/1.20 [weight('<55,571,118,[1,0,0,8]>')]).
% 0.79/1.20 cnf('0.572.1.1',plain,
% 0.79/1.20 ( zero = meet(sk1,composition(complement(sk3),sk2)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.572.1.0','0.21.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.572.2.0',plain,
% 0.79/1.20 ( meet(sk1,composition(complement(sk3),sk2)) = zero ),
% 0.79/1.20 inference(orient,[status(thm)],['0.572.1.1',theory(equality)]),
% 0.79/1.20 [x,rule_564]).
% 0.79/1.20 cnf('0.583.0.0',plain,
% 0.79/1.20 ( sk1 = join(zero,meet(complement(composition(complement(sk3),sk2)),sk1)) ),
% 0.79/1.20 inference(cp,[status(thm)],['0.150.2.0','0.572.2.0',theory(equality)]),
% 0.79/1.20 [pos('L.1','L')]).
% 0.79/1.20 cnf('0.583.0.1',plain,
% 0.79/1.20 ( sk1 = meet(complement(composition(complement(sk3),sk2)),sk1) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.583.0.0','0.63.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.583.1.0',plain,
% 0.79/1.20 ( sk1 = meet(complement(composition(complement(sk3),sk2)),sk1) ),
% 0.79/1.20 inference(weigh,[status(thm)],['0.583.0.1']),
% 0.79/1.20 [weight('<71,572,150,[0,0,0,1]>')]).
% 0.79/1.20 cnf('0.583.1.1',plain,
% 0.79/1.20 ( sk1 = meet(sk1,complement(composition(complement(sk3),sk2))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['0.583.1.0','0.21.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('0.583.2.0',plain,
% 0.79/1.20 ( meet(sk1,complement(composition(complement(sk3),sk2))) = sk1 ),
% 0.79/1.20 inference(orient,[status(thm)],['0.583.1.1',theory(equality)]),
% 0.79/1.20 [x,rule_575]).
% 0.79/1.20 cnf('1.0.0.0',conjecture,
% 0.79/1.20 ( join(composition(complement(sk3),sk2),complement(sk1)) = complement(sk1) ),
% 0.79/1.20 file('/tmp/WALDMEISTER_6888_n013',conjecture_1)).
% 0.79/1.20 cnf('1.0.0.1',plain,
% 0.79/1.20 ( join(composition(complement(sk3),sk2),complement(sk1)) = complement(meet(sk1,complement(composition(complement(sk3),sk2)))) ),
% 0.79/1.20 inference(reduction,[status(thm)],['1.0.0.0','0.583.2.0',theory(equality)]),
% 0.79/1.20 [pos('R.1','R')]).
% 0.79/1.20 cnf('1.0.0.2',plain,
% 0.79/1.20 ( join(composition(complement(sk3),sk2),complement(sk1)) = join(composition(complement(sk3),sk2),complement(sk1)) ),
% 0.79/1.20 inference(reduction,[status(thm)],['1.0.0.1','0.104.2.0',theory(equality)]),
% 0.79/1.20 [pos('R','L')]).
% 0.79/1.20 cnf('1.0.0.3',plain,
% 0.79/1.20 ( $true ),
% 0.79/1.20 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.79/1.20 [conjecture_1]).
% 0.79/1.20
% 0.79/1.20 Proved Goals:
% 0.79/1.20 No. 1: join(composition(complement(sk3),sk2),complement(sk1)) ?= complement(sk1) joined, current: join(composition(complement(sk3),sk2),complement(sk1)) = join(composition(complement(sk3),sk2),complement(sk1))
% 0.79/1.20 1 goal was specified, which was proved.
% 0.79/1.20 % SZS output end CNFRefutation
% 0.79/1.20 #END OF PROOF
% 0.79/1.20
% 0.79/1.20 Problem WALDMEISTER_6888_n013
% 0.79/1.20 CPs.gen 54924
% 0.79/1.20 CPs.reexp 0
% 0.79/1.20 Select 5294
% 0.79/1.20 R 575
% 0.79/1.20 E 8
% 0.79/1.20 vsize 6.7M
% 0.79/1.20 rss 4.1M
% 0.79/1.20 process.time 0.173s
% 0.79/1.20 wallclock.time 0.173s
% 0.79/1.20 status S
% 0.79/1.20
% 0.79/1.20
% 0.79/1.20 Waldmeister states: Goal proved.
% 0.79/1.20 % SZS status Unsatisfiable
%------------------------------------------------------------------------------