TSTP Solution File: REL004-2 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL004-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.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 20:09:30 EDT 2022
% Result : Unsatisfiable 0.60s 1.03s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL004-2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 09:11:26 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.60/1.01 ********************************************************************************
% 0.60/1.01 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/1.01 * |/ | \/ | *
% 0.60/1.01 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/1.01 * A. Jaeger and B. Loechner | | *
% 0.60/1.01 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/1.01 ********************************************************************************
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 Goals:
% 0.60/1.01 ------
% 0.60/1.01
% 0.60/1.01 ( 1) converse(complement(sk1)) ?=? complement(converse(sk1))
% 0.60/1.01
% 0.60/1.01 Detected structure: Orkus
% 0.60/1.01 ********************************************************************************
% 0.60/1.01 ****************************** COMPLETION - PROOF ******************************
% 0.60/1.01 ********************************************************************************
% 0.60/1.01
% 0.60/1.03 joined goal: 1 converse(complement(sk1)) ?= complement(converse(sk1)) to complement(converse(sk1))
% 0.60/1.03 goal joined
% 0.60/1.03 % SZS status Unsatisfiable
% 0.60/1.03 #START OF PROOF
% 0.60/1.03 % SZS output start CNFRefutation
% 0.60/1.03 cnf('0.1.0.0',axiom,
% 0.60/1.03 ( X1 = composition(X1,one) ),
% 0.60/1.03 file('/tmp/WALDMEISTER_18830_n023')).
% 0.60/1.03 cnf('0.1.1.0',plain,
% 0.60/1.03 ( X1 = composition(X1,one) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.60/1.03 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.60/1.03 cnf('0.1.2.0',plain,
% 0.60/1.03 ( composition(X1,one) = X1 ),
% 0.60/1.03 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_1]).
% 0.60/1.03 cnf('0.3.0.0',axiom,
% 0.60/1.03 ( X1 = converse(converse(X1)) ),
% 0.60/1.03 file('/tmp/WALDMEISTER_18830_n023')).
% 0.60/1.03 cnf('0.3.1.0',plain,
% 0.60/1.03 ( X1 = converse(converse(X1)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.60/1.03 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.60/1.03 cnf('0.3.2.0',plain,
% 0.60/1.03 ( converse(converse(X1)) = X1 ),
% 0.60/1.03 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_3]).
% 0.60/1.03 cnf('0.6.0.0',axiom,
% 0.60/1.03 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.60/1.03 file('/tmp/WALDMEISTER_18830_n023')).
% 0.60/1.03 cnf('0.6.1.0',plain,
% 0.60/1.03 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.60/1.03 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.60/1.03 cnf('0.6.2.0',plain,
% 0.60/1.03 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_6]).
% 0.60/1.03 cnf('0.8.0.0',axiom,
% 0.60/1.03 ( join(X1,X2) = join(X2,X1) ),
% 0.60/1.03 file('/tmp/WALDMEISTER_18830_n023')).
% 0.60/1.03 cnf('0.8.1.0',plain,
% 0.60/1.03 ( join(X1,X2) = join(X2,X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.60/1.03 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.60/1.03 cnf('0.8.2.0',plain,
% 0.60/1.03 ( join(X1,X2) = join(X2,X1) ),
% 0.60/1.03 inference(activate,[status(thm)],['0.8.1.0']),
% 0.60/1.03 [equation_1]).
% 0.60/1.03 cnf('0.9.0.0',axiom,
% 0.60/1.03 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.60/1.03 file('/tmp/WALDMEISTER_18830_n023')).
% 0.60/1.03 cnf('0.9.1.0',plain,
% 0.60/1.03 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.60/1.03 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.60/1.03 cnf('0.9.2.0',plain,
% 0.60/1.03 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_8]).
% 0.60/1.03 cnf('0.10.0.0',axiom,
% 0.60/1.03 ( join(X1,complement(X1)) = top ),
% 0.60/1.03 file('/tmp/WALDMEISTER_18830_n023')).
% 0.60/1.03 cnf('0.10.1.0',plain,
% 0.60/1.03 ( join(X1,complement(X1)) = top ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.60/1.03 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.60/1.03 cnf('0.10.2.0',plain,
% 0.60/1.03 ( join(X1,complement(X1)) = top ),
% 0.60/1.03 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_9]).
% 0.60/1.03 cnf('0.11.0.0',axiom,
% 0.60/1.03 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 0.60/1.03 file('/tmp/WALDMEISTER_18830_n023')).
% 0.60/1.03 cnf('0.11.1.0',plain,
% 0.60/1.03 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.60/1.03 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.60/1.03 cnf('0.11.1.1',plain,
% 0.60/1.03 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.11.1.0','0.8.2.0',theory(equality)]),
% 0.60/1.03 [pos('L','L')]).
% 0.60/1.03 cnf('0.11.2.0',plain,
% 0.60/1.03 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.11.1.1',theory(equality)]),
% 0.60/1.03 [u,rule_10]).
% 0.60/1.03 cnf('0.12.0.0',axiom,
% 0.60/1.03 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.60/1.03 file('/tmp/WALDMEISTER_18830_n023')).
% 0.60/1.03 cnf('0.12.1.0',plain,
% 0.60/1.03 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.60/1.03 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.60/1.03 cnf('0.12.2.0',plain,
% 0.60/1.03 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_11]).
% 0.60/1.03 cnf('0.15.0.0',axiom,
% 0.60/1.03 ( meet(X1,X2) = complement(join(complement(X1),complement(X2))) ),
% 0.60/1.03 file('/tmp/WALDMEISTER_18830_n023')).
% 0.60/1.03 cnf('0.15.1.0',plain,
% 0.60/1.03 ( meet(X1,X2) = complement(join(complement(X1),complement(X2))) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.60/1.03 [weight('<14,0,0,[0,0,0,15]>')]).
% 0.60/1.03 cnf('0.15.2.0',plain,
% 0.60/1.03 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_14]).
% 0.60/1.03 cnf('0.16.0.0',axiom,
% 0.60/1.03 ( meet(X1,complement(X1)) = zero ),
% 0.60/1.03 file('/tmp/WALDMEISTER_18830_n023')).
% 0.60/1.03 cnf('0.16.1.0',plain,
% 0.60/1.03 ( meet(X1,complement(X1)) = zero ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.60/1.03 [weight('<15,0,0,[0,0,0,16]>')]).
% 0.60/1.03 cnf('0.16.2.0',plain,
% 0.60/1.03 ( meet(X1,complement(X1)) = zero ),
% 0.60/1.03 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_15]).
% 0.60/1.03 cnf('0.17.0.0',plain,
% 0.60/1.03 ( meet(X1,complement(X1)) = complement(top) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.15.2.0','0.10.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.17.1.0',plain,
% 0.60/1.03 ( meet(X1,complement(X1)) = complement(top) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.60/1.03 [weight('<34,15,10,[1,0,0,1]>')]).
% 0.60/1.03 cnf('0.17.1.1',plain,
% 0.60/1.03 ( zero = complement(top) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.17.1.0','0.16.2.0',theory(equality)]),
% 0.60/1.03 [pos('L','L')]).
% 0.60/1.03 cnf('0.17.2.0',plain,
% 0.60/1.03 ( complement(top) = zero ),
% 0.60/1.03 inference(orient,[status(thm)],['0.17.1.1',theory(equality)]),
% 0.60/1.03 [x,rule_16]).
% 0.60/1.03 cnf('0.18.0.0',plain,
% 0.60/1.03 ( top = join(top,zero) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.10.2.0','0.17.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2','L')]).
% 0.60/1.03 cnf('0.18.1.0',plain,
% 0.60/1.03 ( top = join(top,zero) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.60/1.03 [weight('<19,17,10,[0,0,0,2]>')]).
% 0.60/1.03 cnf('0.18.1.1',plain,
% 0.60/1.03 ( top = join(zero,top) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.18.1.0','0.8.2.0',theory(equality)]),
% 0.60/1.03 [pos('R','L')]).
% 0.60/1.03 cnf('0.18.2.0',plain,
% 0.60/1.03 ( join(zero,top) = top ),
% 0.60/1.03 inference(orient,[status(thm)],['0.18.1.1',theory(equality)]),
% 0.60/1.03 [x,rule_17]).
% 0.60/1.03 cnf('0.20.0.0',plain,
% 0.60/1.03 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.15.2.0','0.8.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.20.0.1',plain,
% 0.60/1.03 ( meet(X1,X2) = meet(X2,X1) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.20.0.0','0.15.2.0',theory(equality)]),
% 0.60/1.03 [pos('R','L')]).
% 0.60/1.03 cnf('0.20.1.0',plain,
% 0.60/1.03 ( meet(X1,X2) = meet(X2,X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.60/1.03 [weight('<48,15,8,[1,0,0,1]>')]).
% 0.60/1.03 cnf('0.20.2.0',plain,
% 0.60/1.03 ( meet(X1,X2) = meet(X2,X1) ),
% 0.60/1.03 inference(activate,[status(thm)],['0.20.1.0']),
% 0.60/1.03 [equation_2]).
% 0.60/1.03 cnf('0.23.0.0',plain,
% 0.60/1.03 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.15.2.0','0.17.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1.1','L')]).
% 0.60/1.03 cnf('0.23.1.0',plain,
% 0.60/1.03 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.60/1.03 [weight('<53,17,15,[0,0,0,2]>')]).
% 0.60/1.03 cnf('0.23.2.0',plain,
% 0.60/1.03 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_21]).
% 0.60/1.03 cnf('0.25.0.0',plain,
% 0.60/1.03 ( join(zero,join(top,X1)) = join(top,X1) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.9.2.0','0.18.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.25.1.0',plain,
% 0.60/1.03 ( join(zero,join(top,X1)) = join(top,X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.60/1.03 [weight('<53,18,9,[0,0,0,1]>')]).
% 0.60/1.03 cnf('0.25.2.0',plain,
% 0.60/1.03 ( join(zero,join(top,X1)) = join(top,X1) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_23]).
% 0.60/1.03 cnf('0.26.0.0',plain,
% 0.60/1.03 ( join(top,X1) = join(zero,join(X1,top)) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.25.2.0','0.8.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2','L')]).
% 0.60/1.03 cnf('0.26.1.0',plain,
% 0.60/1.03 ( join(top,X1) = join(zero,join(X1,top)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.60/1.03 [weight('<53,25,8,[1,0,0,2]>')]).
% 0.60/1.03 cnf('0.26.2.0',plain,
% 0.60/1.03 ( join(zero,join(X1,top)) = join(top,X1) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.60/1.03 [x,rule_24]).
% 0.60/1.03 cnf('0.28.0.0',plain,
% 0.60/1.03 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2','L')]).
% 0.60/1.03 cnf('0.28.1.0',plain,
% 0.60/1.03 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.60/1.03 [weight('<59,6,3,[1,0,0,3]>')]).
% 0.60/1.03 cnf('0.28.2.0',plain,
% 0.60/1.03 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_26]).
% 0.60/1.04 cnf('0.29.0.0',plain,
% 0.60/1.04 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.28.2.0','0.1.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.29.0.1',plain,
% 0.60/1.04 ( composition(converse(one),X1) = X1 ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.29.0.0','0.3.2.0',theory(equality)]),
% 0.60/1.04 [pos('R','L')]).
% 0.60/1.04 cnf('0.29.1.0',plain,
% 0.60/1.04 ( composition(converse(one),X1) = X1 ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.60/1.04 [weight('<29,28,1,[1,0,0,1]>')]).
% 0.60/1.04 cnf('0.29.2.0',plain,
% 0.60/1.04 ( composition(converse(one),X1) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_27]).
% 0.60/1.04 cnf('0.30.0.0',plain,
% 0.60/1.04 ( one = converse(one) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.29.2.0','0.1.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('0.30.1.0',plain,
% 0.60/1.04 ( one = converse(one) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.60/1.04 [weight('<11,29,1,[1,0,0,0]>')]).
% 0.60/1.04 cnf('0.30.2.0',plain,
% 0.60/1.04 ( converse(one) = one ),
% 0.60/1.04 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_28]).
% 0.60/1.04 cnf('0.31.0.0',plain,
% 0.60/1.04 ( composition(converse(one),X1) = X1 ),
% 0.60/1.04 inference(interreduction_right,[status(thm)],['0.29.2.0'])).
% 0.60/1.04 cnf('0.31.0.1',plain,
% 0.60/1.04 ( composition(one,X1) = X1 ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.31.0.0','0.30.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.31.1.0',plain,
% 0.60/1.04 ( composition(one,X1) = X1 ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.60/1.04 [weight('<19,29,30,[0,0,0,0]>')]).
% 0.60/1.04 cnf('0.31.2.0',plain,
% 0.60/1.04 ( composition(one,X1) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_29]).
% 0.60/1.04 cnf('0.34.0.0',plain,
% 0.60/1.04 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.11.2.0','0.31.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.2.2.1','L')]).
% 0.60/1.04 cnf('0.34.0.1',plain,
% 0.60/1.04 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.34.0.0','0.30.2.0',theory(equality)]),
% 0.60/1.04 [pos('R.2.1','L')]).
% 0.60/1.04 cnf('0.34.0.2',plain,
% 0.60/1.04 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.34.0.1','0.31.2.0',theory(equality)]),
% 0.60/1.04 [pos('R.2','L')]).
% 0.60/1.04 cnf('0.34.1.0',plain,
% 0.60/1.04 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.34.0.2']),
% 0.60/1.04 [weight('<47,31,11,[0,0,0,7]>')]).
% 0.60/1.04 cnf('0.34.2.0',plain,
% 0.60/1.04 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_32]).
% 0.60/1.04 cnf('0.35.0.0',plain,
% 0.60/1.04 ( complement(top) = join(zero,complement(top)) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.34.2.0','0.17.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.35.0.1',plain,
% 0.60/1.04 ( zero = join(zero,complement(top)) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.35.0.0','0.17.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('0.35.0.2',plain,
% 0.60/1.04 ( zero = join(zero,zero) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.35.0.1','0.17.2.0',theory(equality)]),
% 0.60/1.04 [pos('R.2','L')]).
% 0.60/1.04 cnf('0.35.1.0',plain,
% 0.60/1.04 ( zero = join(zero,zero) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.35.0.2']),
% 0.60/1.04 [weight('<19,34,17,[1,0,0,1]>')]).
% 0.60/1.04 cnf('0.35.2.0',plain,
% 0.60/1.04 ( join(zero,zero) = zero ),
% 0.60/1.04 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_33]).
% 0.60/1.04 cnf('0.38.0.0',plain,
% 0.60/1.04 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.15.2.0','0.34.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.38.1.0',plain,
% 0.60/1.04 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.38.0.0']),
% 0.60/1.04 [weight('<48,34,15,[0,0,0,1]>')]).
% 0.60/1.04 cnf('0.38.2.0',plain,
% 0.60/1.04 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.60/1.04 inference(activate,[status(thm)],['0.38.1.0']),
% 0.60/1.04 [equation_3]).
% 0.60/1.04 cnf('0.39.0.0',plain,
% 0.60/1.04 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.9.2.0','0.35.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.39.1.0',plain,
% 0.60/1.04 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.60/1.04 [weight('<53,35,9,[0,0,0,1]>')]).
% 0.60/1.04 cnf('0.39.2.0',plain,
% 0.60/1.04 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_36]).
% 0.60/1.04 cnf('0.43.0.0',plain,
% 0.60/1.04 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.43.1.0',plain,
% 0.60/1.04 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.60/1.04 [weight('<59,12,3,[1,0,0,1]>')]).
% 0.60/1.04 cnf('0.43.2.0',plain,
% 0.60/1.04 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_40]).
% 0.60/1.04 cnf('0.45.0.0',plain,
% 0.60/1.04 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.43.2.0','0.10.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.45.1.0',plain,
% 0.60/1.04 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.60/1.04 [weight('<62,43,10,[1,0,0,1]>')]).
% 0.60/1.04 cnf('0.45.2.0',plain,
% 0.60/1.04 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_42]).
% 0.60/1.04 cnf('0.48.0.0',plain,
% 0.60/1.04 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.48.1.0',plain,
% 0.60/1.04 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.48.0.0']),
% 0.60/1.04 [weight('<69,10,9,[0,0,0,1]>')]).
% 0.60/1.04 cnf('0.48.2.0',plain,
% 0.60/1.04 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_45]).
% 0.60/1.04 cnf('0.49.0.0',plain,
% 0.60/1.04 ( join(top,complement(X1)) = join(X1,complement(X1)) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.48.2.0','0.34.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.2','L')]).
% 0.60/1.04 cnf('0.49.0.1',plain,
% 0.60/1.04 ( join(top,complement(X1)) = top ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.49.0.0','0.10.2.0',theory(equality)]),
% 0.60/1.04 [pos('R','L')]).
% 0.60/1.04 cnf('0.49.1.0',plain,
% 0.60/1.04 ( join(top,complement(X1)) = top ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.49.0.1']),
% 0.60/1.04 [weight('<29,48,34,[1,0,0,2]>')]).
% 0.60/1.04 cnf('0.49.2.0',plain,
% 0.60/1.04 ( join(top,complement(X1)) = top ),
% 0.60/1.04 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_46]).
% 0.60/1.04 cnf('0.52.0.0',plain,
% 0.60/1.04 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.48.2.0','0.10.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.2','L')]).
% 0.60/1.04 cnf('0.52.1.0',plain,
% 0.60/1.04 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.52.0.0']),
% 0.60/1.04 [weight('<53,48,10,[1,0,0,2]>')]).
% 0.60/1.04 cnf('0.52.1.1',plain,
% 0.60/1.04 ( top = join(X1,top) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.52.1.0','0.49.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('0.52.2.0',plain,
% 0.60/1.04 ( join(X1,top) = top ),
% 0.60/1.04 inference(orient,[status(thm)],['0.52.1.1',theory(equality)]),
% 0.60/1.04 [x,rule_49]).
% 0.60/1.04 cnf('0.53.0.0',plain,
% 0.60/1.04 ( join(zero,join(X1,top)) = join(top,X1) ),
% 0.60/1.04 inference(interreduction_right,[status(thm)],['0.26.2.0'])).
% 0.60/1.04 cnf('0.53.0.1',plain,
% 0.60/1.04 ( join(zero,top) = join(top,X1) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.53.0.0','0.52.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.2','L')]).
% 0.60/1.04 cnf('0.53.0.2',plain,
% 0.60/1.04 ( top = join(top,X1) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.53.0.1','0.52.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('0.53.1.0',plain,
% 0.60/1.04 ( top = join(top,X1) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.53.0.2']),
% 0.60/1.04 [weight('<19,26,52,[0,0,0,0]>')]).
% 0.60/1.04 cnf('0.53.2.0',plain,
% 0.60/1.04 ( join(top,X1) = top ),
% 0.60/1.04 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_50]).
% 0.60/1.04 cnf('0.54.0.0',plain,
% 0.60/1.04 ( top = converse(top) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.53.2.0','0.45.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('0.54.1.0',plain,
% 0.60/1.04 ( top = converse(top) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.60/1.04 [weight('<11,53,45,[1,0,0,0]>')]).
% 0.60/1.04 cnf('0.54.2.0',plain,
% 0.60/1.04 ( converse(top) = top ),
% 0.60/1.04 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_51]).
% 0.60/1.04 cnf('0.58.0.0',plain,
% 0.60/1.04 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.60/1.04 inference(interreduction_right,[status(thm)],['0.45.2.0'])).
% 0.60/1.04 cnf('0.58.0.1',plain,
% 0.60/1.04 ( join(X1,converse(complement(converse(X1)))) = top ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.58.0.0','0.54.2.0',theory(equality)]),
% 0.60/1.04 [pos('R','L')]).
% 0.60/1.04 cnf('0.58.1.0',plain,
% 0.60/1.04 ( join(X1,converse(complement(converse(X1)))) = top ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.58.0.1']),
% 0.60/1.04 [weight('<55,45,54,[0,0,0,0]>')]).
% 0.60/1.04 cnf('0.58.2.0',plain,
% 0.60/1.04 ( join(X1,converse(complement(converse(X1)))) = top ),
% 0.60/1.04 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_55]).
% 0.60/1.04 cnf('0.60.0.0',axiom,
% 0.60/1.04 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 0.60/1.04 file('/tmp/WALDMEISTER_18830_n023')).
% 0.60/1.04 cnf('0.60.1.0',plain,
% 0.60/1.04 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.60.0.0']),
% 0.60/1.04 [weight('<0,0,0,[0,0,0,2]>')]).
% 0.60/1.04 cnf('0.60.1.1',plain,
% 0.60/1.04 ( X1 = join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.60.1.0','0.8.2.0',theory(equality)]),
% 0.60/1.04 [pos('R','L')]).
% 0.60/1.04 cnf('0.60.1.2',plain,
% 0.60/1.04 ( X1 = join(complement(join(complement(X1),X2)),meet(X1,X2)) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.60.1.1','0.15.2.0',theory(equality)]),
% 0.60/1.04 [pos('R.2','L')]).
% 0.60/1.04 cnf('0.60.1.3',plain,
% 0.60/1.04 ( X1 = join(meet(X1,X2),complement(join(complement(X1),X2))) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.60.1.2','0.8.2.0',theory(equality)]),
% 0.60/1.04 [pos('R','L')]).
% 0.60/1.04 cnf('0.60.2.0',plain,
% 0.60/1.04 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.60.1.3',theory(equality)]),
% 0.60/1.04 [x,rule_57]).
% 0.60/1.04 cnf('0.61.0.0',plain,
% 0.60/1.04 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.60.2.0','0.16.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.61.0.1',plain,
% 0.60/1.04 ( X1 = join(zero,meet(X1,X1)) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.61.0.0','0.15.2.0',theory(equality)]),
% 0.60/1.04 [pos('R.2','L')]).
% 0.60/1.04 cnf('0.61.1.0',plain,
% 0.60/1.04 ( X1 = join(zero,meet(X1,X1)) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.61.0.1']),
% 0.60/1.04 [weight('<41,60,16,[1,0,0,1]>')]).
% 0.60/1.04 cnf('0.61.2.0',plain,
% 0.60/1.04 ( join(zero,meet(X1,X1)) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_58]).
% 0.60/1.04 cnf('0.62.0.0',plain,
% 0.60/1.04 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.39.2.0','0.61.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.2','L')]).
% 0.60/1.04 cnf('0.62.0.1',plain,
% 0.60/1.04 ( X1 = join(zero,X1) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.62.0.0','0.61.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('0.62.1.0',plain,
% 0.60/1.04 ( X1 = join(zero,X1) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.62.0.1']),
% 0.60/1.04 [weight('<19,61,39,[0,0,0,2]>')]).
% 0.60/1.04 cnf('0.62.2.0',plain,
% 0.60/1.04 ( join(zero,X1) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_59]).
% 0.60/1.04 cnf('0.66.0.0',plain,
% 0.60/1.04 ( join(zero,meet(X1,X1)) = X1 ),
% 0.60/1.04 inference(interreduction_right,[status(thm)],['0.61.2.0'])).
% 0.60/1.04 cnf('0.66.0.1',plain,
% 0.60/1.04 ( meet(X1,X1) = X1 ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.66.0.0','0.62.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('0.66.1.0',plain,
% 0.60/1.04 ( meet(X1,X1) = X1 ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.66.0.1']),
% 0.60/1.04 [weight('<19,61,62,[0,0,0,0]>')]).
% 0.60/1.04 cnf('0.66.2.0',plain,
% 0.60/1.04 ( meet(X1,X1) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_63]).
% 0.60/1.04 cnf('0.67.0.0',plain,
% 0.60/1.04 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.60/1.04 inference(interreduction_right,[status(thm)],['0.38.2.0'])).
% 0.60/1.04 cnf('0.67.0.1',plain,
% 0.60/1.04 ( X1 = complement(complement(X1)) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.67.0.0','0.66.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('0.67.1.0',plain,
% 0.60/1.04 ( X1 = complement(complement(X1)) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.67.0.1']),
% 0.60/1.04 [weight('<19,38,66,[0,0,0,0]>')]).
% 0.60/1.04 cnf('0.67.2.0',plain,
% 0.60/1.04 ( complement(complement(X1)) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_64]).
% 0.60/1.04 cnf('0.70.0.0',plain,
% 0.60/1.04 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.34.2.0','0.67.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.70.0.1',plain,
% 0.60/1.04 ( X1 = join(X1,complement(complement(X1))) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.70.0.0','0.67.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('0.70.0.2',plain,
% 0.60/1.04 ( X1 = join(X1,X1) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.70.0.1','0.67.2.0',theory(equality)]),
% 0.60/1.04 [pos('R.2','L')]).
% 0.60/1.04 cnf('0.70.1.0',plain,
% 0.60/1.04 ( X1 = join(X1,X1) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.70.0.2']),
% 0.60/1.04 [weight('<19,67,34,[0,0,0,1]>')]).
% 0.60/1.04 cnf('0.70.2.0',plain,
% 0.60/1.04 ( join(X1,X1) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_67]).
% 0.60/1.04 cnf('0.71.0.0',plain,
% 0.60/1.04 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 0.60/1.04 inference(interreduction_right,[status(thm)],['0.23.2.0'])).
% 0.60/1.04 cnf('0.71.0.1',plain,
% 0.60/1.04 ( complement(complement(X1)) = meet(top,X1) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.71.0.0','0.62.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.71.1.0',plain,
% 0.60/1.04 ( complement(complement(X1)) = meet(top,X1) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.71.0.1']),
% 0.60/1.04 [weight('<27,23,62,[0,0,0,0]>')]).
% 0.60/1.04 cnf('0.71.1.1',plain,
% 0.60/1.04 ( X1 = meet(top,X1) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.71.1.0','0.67.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('0.71.2.0',plain,
% 0.60/1.04 ( meet(top,X1) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.71.1.1',theory(equality)]),
% 0.60/1.04 [x,rule_68]).
% 0.60/1.04 cnf('0.72.0.0',plain,
% 0.60/1.04 ( X1 = meet(X1,top) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.71.2.0','0.20.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('0.72.1.0',plain,
% 0.60/1.04 ( X1 = meet(X1,top) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.72.0.0']),
% 0.60/1.04 [weight('<19,71,20,[1,0,0,0]>')]).
% 0.60/1.04 cnf('0.72.2.0',plain,
% 0.60/1.04 ( meet(X1,top) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_69]).
% 0.60/1.04 cnf('0.78.0.0',plain,
% 0.60/1.04 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.9.2.0','0.70.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.78.1.0',plain,
% 0.60/1.04 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.78.0.0']),
% 0.60/1.04 [weight('<53,70,9,[0,0,0,1]>')]).
% 0.60/1.04 cnf('0.78.2.0',plain,
% 0.60/1.04 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_75]).
% 0.60/1.04 cnf('0.79.0.0',plain,
% 0.60/1.04 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.78.2.0','0.60.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.2','L')]).
% 0.60/1.04 cnf('0.79.0.1',plain,
% 0.60/1.04 ( X1 = join(meet(X1,X2),X1) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.79.0.0','0.60.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('0.79.1.0',plain,
% 0.60/1.04 ( X1 = join(meet(X1,X2),X1) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.79.0.1']),
% 0.60/1.04 [weight('<41,78,60,[1,0,0,2]>')]).
% 0.60/1.04 cnf('0.79.1.1',plain,
% 0.60/1.04 ( X1 = join(X1,meet(X1,X2)) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.79.1.0','0.8.2.0',theory(equality)]),
% 0.60/1.04 [pos('R','L')]).
% 0.60/1.04 cnf('0.79.2.0',plain,
% 0.60/1.04 ( join(X1,meet(X1,X2)) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.79.1.1',theory(equality)]),
% 0.60/1.04 [x,rule_76]).
% 0.60/1.04 cnf('0.80.0.0',plain,
% 0.60/1.04 ( X1 = join(X1,meet(X2,X1)) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.79.2.0','0.20.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.2','L')]).
% 0.60/1.04 cnf('0.80.1.0',plain,
% 0.60/1.04 ( X1 = join(X1,meet(X2,X1)) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.80.0.0']),
% 0.60/1.04 [weight('<41,79,20,[1,0,0,2]>')]).
% 0.60/1.04 cnf('0.80.2.0',plain,
% 0.60/1.04 ( join(X1,meet(X2,X1)) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_77]).
% 0.60/1.04 cnf('0.99.0.0',plain,
% 0.60/1.04 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.15.2.0','0.67.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1.1','L')]).
% 0.60/1.04 cnf('0.99.1.0',plain,
% 0.60/1.04 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.99.0.0']),
% 0.60/1.04 [weight('<59,67,15,[0,0,0,2]>')]).
% 0.60/1.04 cnf('0.99.2.0',plain,
% 0.60/1.04 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_96]).
% 0.60/1.04 cnf('0.100.0.0',plain,
% 0.60/1.04 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.99.2.0','0.8.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.100.1.0',plain,
% 0.60/1.04 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.100.0.0']),
% 0.60/1.04 [weight('<59,99,8,[1,0,0,1]>')]).
% 0.60/1.04 cnf('0.100.2.0',plain,
% 0.60/1.04 ( complement(join(complement(X1),X2)) = meet(complement(X2),X1) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_97]).
% 0.60/1.04 cnf('0.101.0.0',plain,
% 0.60/1.04 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.67.2.0','0.99.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.101.1.0',plain,
% 0.60/1.04 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.101.0.0']),
% 0.60/1.04 [weight('<59,99,67,[0,0,0,1]>')]).
% 0.60/1.04 cnf('0.101.2.0',plain,
% 0.60/1.04 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_98]).
% 0.60/1.04 cnf('0.103.0.0',plain,
% 0.60/1.04 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.101.2.0','0.20.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.103.1.0',plain,
% 0.60/1.04 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.103.0.0']),
% 0.60/1.04 [weight('<59,101,20,[1,0,0,1]>')]).
% 0.60/1.04 cnf('0.103.2.0',plain,
% 0.60/1.04 ( complement(meet(X1,complement(X2))) = join(X2,complement(X1)) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_100]).
% 0.60/1.04 cnf('0.104.0.0',plain,
% 0.60/1.04 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.101.2.0','0.67.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1.1','L')]).
% 0.60/1.04 cnf('0.104.1.0',plain,
% 0.60/1.04 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.104.0.0']),
% 0.60/1.04 [weight('<59,101,67,[1,0,0,2]>')]).
% 0.60/1.04 cnf('0.104.2.0',plain,
% 0.60/1.04 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_101]).
% 0.60/1.04 cnf('0.131.0.0',plain,
% 0.60/1.04 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.9.2.0','0.80.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.131.1.0',plain,
% 0.60/1.04 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.131.0.0']),
% 0.60/1.04 [weight('<87,80,9,[0,0,0,1]>')]).
% 0.60/1.04 cnf('0.131.2.0',plain,
% 0.60/1.04 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_128]).
% 0.60/1.04 cnf('0.146.0.0',plain,
% 0.60/1.04 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 0.60/1.04 inference(interreduction_right,[status(thm)],['0.60.2.0'])).
% 0.60/1.04 cnf('0.146.0.1',plain,
% 0.60/1.04 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.146.0.0','0.100.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.2','L')]).
% 0.60/1.04 cnf('0.146.1.0',plain,
% 0.60/1.04 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.146.0.1']),
% 0.60/1.04 [weight('<89,60,100,[0,0,0,0]>')]).
% 0.60/1.04 cnf('0.146.2.0',plain,
% 0.60/1.04 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.146.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_143]).
% 0.60/1.04 cnf('0.147.0.0',plain,
% 0.60/1.04 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.131.2.0','0.146.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.2','L')]).
% 0.60/1.04 cnf('0.147.1.0',plain,
% 0.60/1.04 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.147.0.0']),
% 0.60/1.04 [weight('<69,146,131,[0,0,0,2]>')]).
% 0.60/1.04 cnf('0.147.2.0',plain,
% 0.60/1.04 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_144]).
% 0.60/1.04 cnf('0.151.0.0',plain,
% 0.60/1.04 ( meet(complement(meet(complement(complement(X1)),X2)),X1) = complement(join(complement(X1),X2)) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.100.2.0','0.147.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.151.0.1',plain,
% 0.60/1.04 ( meet(join(complement(X1),complement(X2)),X1) = complement(join(complement(X1),X2)) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.151.0.0','0.101.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.151.0.2',plain,
% 0.60/1.04 ( meet(complement(meet(X1,X2)),X1) = complement(join(complement(X1),X2)) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.151.0.1','0.104.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.151.0.3',plain,
% 0.60/1.04 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.151.0.2','0.100.2.0',theory(equality)]),
% 0.60/1.04 [pos('R','L')]).
% 0.60/1.04 cnf('0.151.1.0',plain,
% 0.60/1.04 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.151.0.3']),
% 0.60/1.04 [weight('<76,147,100,[0,0,0,1]>')]).
% 0.60/1.04 cnf('0.151.1.1',plain,
% 0.60/1.04 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.151.1.0','0.20.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('0.151.2.0',plain,
% 0.60/1.04 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.151.1.1',theory(equality)]),
% 0.60/1.04 [u,rule_148]).
% 0.60/1.04 cnf('0.152.0.0',plain,
% 0.60/1.04 ( meet(complement(complement(X1)),X2) = meet(X2,join(X1,complement(X2))) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.151.2.0','0.103.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.2','L')]).
% 0.60/1.04 cnf('0.152.0.1',plain,
% 0.60/1.04 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.152.0.0','0.67.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.152.1.0',plain,
% 0.60/1.04 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.152.0.1']),
% 0.60/1.04 [weight('<69,151,103,[1,0,0,2]>')]).
% 0.60/1.04 cnf('0.152.2.0',plain,
% 0.60/1.04 ( meet(X1,join(X2,complement(X1))) = meet(X2,X1) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_149]).
% 0.60/1.04 cnf('0.153.0.0',plain,
% 0.60/1.04 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.152.2.0','0.8.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.2','L')]).
% 0.60/1.04 cnf('0.153.1.0',plain,
% 0.60/1.04 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.153.0.0']),
% 0.60/1.04 [weight('<69,152,8,[1,0,0,2]>')]).
% 0.60/1.04 cnf('0.153.2.0',plain,
% 0.60/1.04 ( meet(X1,join(complement(X1),X2)) = meet(X2,X1) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_150]).
% 0.60/1.04 cnf('0.154.0.0',plain,
% 0.60/1.04 ( meet(converse(complement(converse(complement(X1)))),X1) = meet(X1,top) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.153.2.0','0.58.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.2','L')]).
% 0.60/1.04 cnf('0.154.0.1',plain,
% 0.60/1.04 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.154.0.0','0.72.2.0',theory(equality)]),
% 0.60/1.04 [pos('R','L')]).
% 0.60/1.04 cnf('0.154.1.0',plain,
% 0.60/1.04 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.154.0.1']),
% 0.60/1.04 [weight('<71,153,58,[1,0,0,2]>')]).
% 0.60/1.04 cnf('0.154.1.1',plain,
% 0.60/1.04 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.154.1.0','0.20.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('0.154.2.0',plain,
% 0.60/1.04 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.154.1.1',theory(equality)]),
% 0.60/1.04 [u,rule_151]).
% 0.60/1.04 cnf('0.155.0.0',plain,
% 0.60/1.04 ( join(X1,complement(converse(complement(converse(complement(complement(X1))))))) = complement(complement(X1)) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.101.2.0','0.154.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.155.0.1',plain,
% 0.60/1.04 ( join(X1,complement(converse(complement(converse(X1))))) = complement(complement(X1)) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.155.0.0','0.67.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.2.1.1.1.1','L')]).
% 0.60/1.04 cnf('0.155.0.2',plain,
% 0.60/1.04 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.155.0.1','0.67.2.0',theory(equality)]),
% 0.60/1.04 [pos('R','L')]).
% 0.60/1.04 cnf('0.155.1.0',plain,
% 0.60/1.04 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.155.0.2']),
% 0.60/1.04 [weight('<71,154,101,[0,0,0,1]>')]).
% 0.60/1.04 cnf('0.155.2.0',plain,
% 0.60/1.04 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.155.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_152]).
% 0.60/1.04 cnf('0.167.0.0',plain,
% 0.60/1.04 ( join(X1,converse(complement(converse(complement(converse(converse(X1))))))) = converse(converse(X1)) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.43.2.0','0.155.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.167.0.1',plain,
% 0.60/1.04 ( join(X1,converse(complement(converse(complement(X1))))) = converse(converse(X1)) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.167.0.0','0.3.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.2.1.1.1.1','L')]).
% 0.60/1.04 cnf('0.167.0.2',plain,
% 0.60/1.04 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.167.0.1','0.3.2.0',theory(equality)]),
% 0.60/1.04 [pos('R','L')]).
% 0.60/1.04 cnf('0.167.1.0',plain,
% 0.60/1.04 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.167.0.2']),
% 0.60/1.04 [weight('<71,155,43,[0,0,0,1]>')]).
% 0.60/1.04 cnf('0.167.2.0',plain,
% 0.60/1.04 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.167.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_164]).
% 0.60/1.04 cnf('0.170.0.0',plain,
% 0.60/1.04 ( meet(complement(converse(complement(converse(complement(complement(X1)))))),X1) = complement(complement(X1)) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.100.2.0','0.167.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.170.0.1',plain,
% 0.60/1.04 ( meet(complement(converse(complement(converse(X1)))),X1) = complement(complement(X1)) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.170.0.0','0.67.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1.1.1.1.1','L')]).
% 0.60/1.04 cnf('0.170.0.2',plain,
% 0.60/1.04 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.170.0.1','0.67.2.0',theory(equality)]),
% 0.60/1.04 [pos('R','L')]).
% 0.60/1.04 cnf('0.170.1.0',plain,
% 0.60/1.04 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.170.0.2']),
% 0.60/1.04 [weight('<71,167,100,[0,0,0,1]>')]).
% 0.60/1.04 cnf('0.170.1.1',plain,
% 0.60/1.04 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.170.1.0','0.20.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('0.170.2.0',plain,
% 0.60/1.04 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.170.1.1',theory(equality)]),
% 0.60/1.04 [u,rule_167]).
% 0.60/1.04 cnf('0.175.0.0',plain,
% 0.60/1.04 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.152.2.0','0.67.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.2.2','L')]).
% 0.60/1.04 cnf('0.175.1.0',plain,
% 0.60/1.04 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.175.0.0']),
% 0.60/1.04 [weight('<76,152,67,[1,0,0,4]>')]).
% 0.60/1.04 cnf('0.175.2.0',plain,
% 0.60/1.04 ( meet(complement(X1),join(X2,X1)) = meet(X2,complement(X1)) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.175.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_172]).
% 0.60/1.04 cnf('0.176.0.0',plain,
% 0.60/1.04 ( meet(X1,complement(converse(complement(converse(X1))))) = meet(complement(converse(complement(converse(X1)))),top) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.175.2.0','0.58.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.2','L')]).
% 0.60/1.04 cnf('0.176.0.1',plain,
% 0.60/1.04 ( X1 = meet(complement(converse(complement(converse(X1)))),top) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.176.0.0','0.170.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('0.176.0.2',plain,
% 0.60/1.04 ( X1 = complement(converse(complement(converse(X1)))) ),
% 0.60/1.04 inference(reduction,[status(thm)],['0.176.0.1','0.72.2.0',theory(equality)]),
% 0.60/1.04 [pos('R','L')]).
% 0.60/1.04 cnf('0.176.1.0',plain,
% 0.60/1.04 ( X1 = complement(converse(complement(converse(X1)))) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.176.0.2']),
% 0.60/1.04 [weight('<41,175,58,[1,0,0,3]>')]).
% 0.60/1.04 cnf('0.176.2.0',plain,
% 0.60/1.04 ( complement(converse(complement(converse(X1)))) = X1 ),
% 0.60/1.04 inference(orient,[status(thm)],['0.176.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_173]).
% 0.60/1.04 cnf('0.177.0.0',plain,
% 0.60/1.04 ( converse(X1) = complement(converse(complement(X1))) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.176.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1.1.1','L')]).
% 0.60/1.04 cnf('0.177.1.0',plain,
% 0.60/1.04 ( converse(X1) = complement(converse(complement(X1))) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.177.0.0']),
% 0.60/1.04 [weight('<34,176,3,[1,0,0,3]>')]).
% 0.60/1.04 cnf('0.177.2.0',plain,
% 0.60/1.04 ( complement(converse(complement(X1))) = converse(X1) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.177.1.0',theory(equality)]),
% 0.60/1.04 [x,rule_174]).
% 0.60/1.04 cnf('0.178.0.0',plain,
% 0.60/1.04 ( converse(complement(X1)) = complement(converse(X1)) ),
% 0.60/1.04 inference(cp,[status(thm)],['0.67.2.0','0.177.2.0',theory(equality)]),
% 0.60/1.04 [pos('L.1','L')]).
% 0.60/1.04 cnf('0.178.1.0',plain,
% 0.60/1.04 ( converse(complement(X1)) = complement(converse(X1)) ),
% 0.60/1.04 inference(weigh,[status(thm)],['0.178.0.0']),
% 0.60/1.04 [weight('<27,177,67,[0,0,0,1]>')]).
% 0.60/1.04 cnf('0.178.2.0',plain,
% 0.60/1.04 ( converse(complement(X1)) = complement(converse(X1)) ),
% 0.60/1.04 inference(orient,[status(thm)],['0.178.1.0',theory(equality)]),
% 0.60/1.04 [u,rule_175]).
% 0.60/1.04 cnf('1.0.0.0',conjecture,
% 0.60/1.04 ( converse(complement(sk1)) = complement(converse(sk1)) ),
% 0.60/1.04 file('/tmp/WALDMEISTER_18830_n023',conjecture_1)).
% 0.60/1.04 cnf('1.0.0.1',plain,
% 0.60/1.04 ( complement(converse(sk1)) = complement(converse(sk1)) ),
% 0.60/1.04 inference(reduction,[status(thm)],['1.0.0.0','0.178.2.0',theory(equality)]),
% 0.60/1.04 [pos('L','L')]).
% 0.60/1.04 cnf('1.0.0.2',plain,
% 0.60/1.04 ( $true ),
% 0.60/1.04 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.60/1.04 [conjecture_1]).
% 0.60/1.04
% 0.60/1.04 Proved Goals:
% 0.60/1.04 No. 1: converse(complement(sk1)) ?= complement(converse(sk1)) joined, current: complement(converse(sk1)) = complement(converse(sk1))
% 0.60/1.04 1 goal was specified, which was proved.
% 0.60/1.04 % SZS output end CNFRefutation
% 0.60/1.04 #END OF PROOF
% 0.60/1.04
% 0.60/1.04 Problem WALDMEISTER_18830_n023
% 0.60/1.04 CPs.gen 5902
% 0.60/1.04 CPs.reexp 0
% 0.60/1.04 Select 657
% 0.60/1.04 R 175
% 0.60/1.04 E 3
% 0.60/1.04 vsize 6.6M
% 0.60/1.04 rss 3.8M
% 0.60/1.04 process.time 0.024s
% 0.60/1.04 wallclock.time 0.024s
% 0.60/1.04 status S
% 0.60/1.04
% 0.60/1.04
% 0.60/1.04 Waldmeister states: Goal proved.
% 0.60/1.04 % SZS status Unsatisfiable
%------------------------------------------------------------------------------