TSTP Solution File: REL006-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL006-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n026.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 20:09:34 EDT 2022
% Result : Unsatisfiable 0.70s 1.12s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : REL006-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : woody %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jul 8 10:11:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.70/1.09 ********************************************************************************
% 0.70/1.09 * W A L D M E I S T E R \| \ / \|/ *
% 0.70/1.09 * |/ | \/ | *
% 0.70/1.09 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.70/1.09 * A. Jaeger and B. Loechner | | *
% 0.70/1.09 * <waldmeister@informatik.uni-kl.de> | *
% 0.70/1.09 ********************************************************************************
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Goals:
% 0.70/1.09 ------
% 0.70/1.09
% 0.70/1.09 ( 1) meet(sk1,converse(sk2)) ?=? zero
% 0.70/1.09
% 0.70/1.09 Detected structure: Orkus
% 0.70/1.09 ********************************************************************************
% 0.70/1.09 ****************************** COMPLETION - PROOF ******************************
% 0.70/1.09 ********************************************************************************
% 0.70/1.09
% 0.70/1.12 joined goal: 1 meet(sk1,converse(sk2)) ?= zero to zero
% 0.70/1.12 goal joined
% 0.70/1.12 % SZS status Unsatisfiable
% 0.70/1.12 #START OF PROOF
% 0.70/1.12 % SZS output start CNFRefutation
% 0.70/1.12 cnf('0.1.0.0',axiom,
% 0.70/1.12 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 0.70/1.12 file('/tmp/WALDMEISTER_311_n026')).
% 0.70/1.12 cnf('0.1.1.0',plain,
% 0.70/1.12 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.70/1.12 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.70/1.12 cnf('0.1.2.0',plain,
% 0.70/1.12 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_1]).
% 0.70/1.12 cnf('0.2.0.0',axiom,
% 0.70/1.12 ( X1 = composition(X1,one) ),
% 0.70/1.12 file('/tmp/WALDMEISTER_311_n026')).
% 0.70/1.12 cnf('0.2.1.0',plain,
% 0.70/1.12 ( X1 = composition(X1,one) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.70/1.12 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.70/1.12 cnf('0.2.2.0',plain,
% 0.70/1.12 ( composition(X1,one) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_2]).
% 0.70/1.12 cnf('0.3.0.0',axiom,
% 0.70/1.12 ( X1 = converse(converse(X1)) ),
% 0.70/1.12 file('/tmp/WALDMEISTER_311_n026')).
% 0.70/1.12 cnf('0.3.1.0',plain,
% 0.70/1.12 ( X1 = converse(converse(X1)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.70/1.12 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.70/1.12 cnf('0.3.2.0',plain,
% 0.70/1.12 ( converse(converse(X1)) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_3]).
% 0.70/1.12 cnf('0.4.0.0',axiom,
% 0.70/1.12 ( join(X1,X2) = join(X2,X1) ),
% 0.70/1.12 file('/tmp/WALDMEISTER_311_n026')).
% 0.70/1.12 cnf('0.4.1.0',plain,
% 0.70/1.12 ( join(X1,X2) = join(X2,X1) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.70/1.12 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.70/1.12 cnf('0.4.2.0',plain,
% 0.70/1.12 ( join(X1,X2) = join(X2,X1) ),
% 0.70/1.12 inference(activate,[status(thm)],['0.4.1.0']),
% 0.70/1.12 [equation_1]).
% 0.70/1.12 cnf('0.5.0.0',axiom,
% 0.70/1.12 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.70/1.12 file('/tmp/WALDMEISTER_311_n026')).
% 0.70/1.12 cnf('0.5.1.0',plain,
% 0.70/1.12 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.70/1.12 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.70/1.12 cnf('0.5.2.0',plain,
% 0.70/1.12 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_4]).
% 0.70/1.12 cnf('0.6.0.0',axiom,
% 0.70/1.12 ( join(X1,complement(X1)) = top ),
% 0.70/1.12 file('/tmp/WALDMEISTER_311_n026')).
% 0.70/1.12 cnf('0.6.1.0',plain,
% 0.70/1.12 ( join(X1,complement(X1)) = top ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.70/1.12 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.70/1.12 cnf('0.6.2.0',plain,
% 0.70/1.12 ( join(X1,complement(X1)) = top ),
% 0.70/1.12 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_5]).
% 0.70/1.12 cnf('0.8.0.0',axiom,
% 0.70/1.12 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 0.70/1.12 file('/tmp/WALDMEISTER_311_n026')).
% 0.70/1.12 cnf('0.8.1.0',plain,
% 0.70/1.12 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.70/1.12 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.70/1.12 cnf('0.8.1.1',plain,
% 0.70/1.12 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.8.1.0','0.4.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.8.2.0',plain,
% 0.70/1.12 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.8.1.1',theory(equality)]),
% 0.70/1.12 [u,rule_7]).
% 0.70/1.12 cnf('0.9.0.0',axiom,
% 0.70/1.12 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.70/1.12 file('/tmp/WALDMEISTER_311_n026')).
% 0.70/1.12 cnf('0.9.1.0',plain,
% 0.70/1.12 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.70/1.12 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.70/1.12 cnf('0.9.2.0',plain,
% 0.70/1.12 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_8]).
% 0.70/1.12 cnf('0.10.0.0',axiom,
% 0.70/1.12 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 0.70/1.12 file('/tmp/WALDMEISTER_311_n026')).
% 0.70/1.12 cnf('0.10.1.0',plain,
% 0.70/1.12 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.70/1.12 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.70/1.12 cnf('0.10.2.0',plain,
% 0.70/1.12 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_9]).
% 0.70/1.12 cnf('0.12.0.0',axiom,
% 0.70/1.12 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.70/1.12 file('/tmp/WALDMEISTER_311_n026')).
% 0.70/1.12 cnf('0.12.1.0',plain,
% 0.70/1.12 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.70/1.12 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.70/1.12 cnf('0.12.2.0',plain,
% 0.70/1.12 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_11]).
% 0.70/1.12 cnf('0.13.0.0',axiom,
% 0.70/1.12 ( meet(X1,complement(X1)) = zero ),
% 0.70/1.12 file('/tmp/WALDMEISTER_311_n026')).
% 0.70/1.12 cnf('0.13.1.0',plain,
% 0.70/1.12 ( meet(X1,complement(X1)) = zero ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.70/1.12 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.70/1.12 cnf('0.13.2.0',plain,
% 0.70/1.12 ( meet(X1,complement(X1)) = zero ),
% 0.70/1.12 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_12]).
% 0.70/1.12 cnf('0.14.0.0',axiom,
% 0.70/1.12 ( meet(converse(sk1),sk2) = zero ),
% 0.70/1.12 file('/tmp/WALDMEISTER_311_n026')).
% 0.70/1.12 cnf('0.14.1.0',plain,
% 0.70/1.12 ( meet(converse(sk1),sk2) = zero ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.70/1.12 [weight('<13,0,0,[0,0,0,14]>')]).
% 0.70/1.12 cnf('0.14.2.0',plain,
% 0.70/1.12 ( meet(converse(sk1),sk2) = zero ),
% 0.70/1.12 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_13]).
% 0.70/1.12 cnf('0.15.0.0',plain,
% 0.70/1.12 ( meet(X1,complement(X1)) = complement(top) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.15.1.0',plain,
% 0.70/1.12 ( meet(X1,complement(X1)) = complement(top) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.70/1.12 [weight('<34,10,6,[1,0,0,1]>')]).
% 0.70/1.12 cnf('0.15.1.1',plain,
% 0.70/1.12 ( zero = complement(top) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.15.1.0','0.13.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.15.2.0',plain,
% 0.70/1.12 ( complement(top) = zero ),
% 0.70/1.12 inference(orient,[status(thm)],['0.15.1.1',theory(equality)]),
% 0.70/1.12 [x,rule_14]).
% 0.70/1.12 cnf('0.18.0.0',plain,
% 0.70/1.12 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.10.2.0','0.4.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.18.0.1',plain,
% 0.70/1.12 ( meet(X1,X2) = meet(X2,X1) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.18.0.0','0.10.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.18.1.0',plain,
% 0.70/1.12 ( meet(X1,X2) = meet(X2,X1) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.70/1.12 [weight('<48,10,4,[1,0,0,1]>')]).
% 0.70/1.12 cnf('0.18.2.0',plain,
% 0.70/1.12 ( meet(X1,X2) = meet(X2,X1) ),
% 0.70/1.12 inference(activate,[status(thm)],['0.18.1.0']),
% 0.70/1.12 [equation_2]).
% 0.70/1.12 cnf('0.19.0.0',plain,
% 0.70/1.12 ( meet(converse(sk1),sk2) = zero ),
% 0.70/1.12 inference(interreduction_right,[status(thm)],['0.14.2.0'])).
% 0.70/1.12 cnf('0.19.1.0',plain,
% 0.70/1.12 ( meet(converse(sk1),sk2) = zero ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.70/1.12 [weight('<29,14,18,[0,0,0,0]>')]).
% 0.70/1.12 cnf('0.19.1.1',plain,
% 0.70/1.12 ( meet(sk2,converse(sk1)) = zero ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.19.1.0','0.18.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.19.2.0',plain,
% 0.70/1.12 ( meet(sk2,converse(sk1)) = zero ),
% 0.70/1.12 inference(orient,[status(thm)],['0.19.1.1',theory(equality)]),
% 0.70/1.12 [u,rule_17]).
% 0.70/1.12 cnf('0.26.0.0',plain,
% 0.70/1.12 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.26.1.0',plain,
% 0.70/1.12 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.70/1.12 [weight('<59,9,3,[1,0,0,1]>')]).
% 0.70/1.12 cnf('0.26.2.0',plain,
% 0.70/1.12 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_24]).
% 0.70/1.12 cnf('0.27.0.0',plain,
% 0.70/1.12 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2','L')]).
% 0.70/1.12 cnf('0.27.1.0',plain,
% 0.70/1.12 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.70/1.12 [weight('<59,9,3,[1,0,0,3]>')]).
% 0.70/1.12 cnf('0.27.2.0',plain,
% 0.70/1.12 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_25]).
% 0.70/1.12 cnf('0.29.0.0',plain,
% 0.70/1.12 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2','L')]).
% 0.70/1.12 cnf('0.29.1.0',plain,
% 0.70/1.12 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.70/1.12 [weight('<59,12,3,[1,0,0,3]>')]).
% 0.70/1.12 cnf('0.29.2.0',plain,
% 0.70/1.12 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_27]).
% 0.70/1.12 cnf('0.30.0.0',plain,
% 0.70/1.12 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.29.2.0','0.2.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.30.0.1',plain,
% 0.70/1.12 ( composition(converse(one),X1) = X1 ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.30.0.0','0.3.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.30.1.0',plain,
% 0.70/1.12 ( composition(converse(one),X1) = X1 ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.70/1.12 [weight('<29,29,2,[1,0,0,1]>')]).
% 0.70/1.12 cnf('0.30.2.0',plain,
% 0.70/1.12 ( composition(converse(one),X1) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_28]).
% 0.70/1.12 cnf('0.31.0.0',plain,
% 0.70/1.12 ( one = converse(one) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.30.2.0','0.2.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.31.1.0',plain,
% 0.70/1.12 ( one = converse(one) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.70/1.12 [weight('<11,30,2,[1,0,0,0]>')]).
% 0.70/1.12 cnf('0.31.2.0',plain,
% 0.70/1.12 ( converse(one) = one ),
% 0.70/1.12 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_29]).
% 0.70/1.12 cnf('0.32.0.0',plain,
% 0.70/1.12 ( composition(converse(one),X1) = X1 ),
% 0.70/1.12 inference(interreduction_right,[status(thm)],['0.30.2.0'])).
% 0.70/1.12 cnf('0.32.0.1',plain,
% 0.70/1.12 ( composition(one,X1) = X1 ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.32.0.0','0.31.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.32.1.0',plain,
% 0.70/1.12 ( composition(one,X1) = X1 ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.70/1.12 [weight('<19,30,31,[0,0,0,0]>')]).
% 0.70/1.12 cnf('0.32.2.0',plain,
% 0.70/1.12 ( composition(one,X1) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_30]).
% 0.70/1.12 cnf('0.35.0.0',plain,
% 0.70/1.12 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.8.2.0','0.32.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2.2.1','L')]).
% 0.70/1.12 cnf('0.35.0.1',plain,
% 0.70/1.12 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.35.0.0','0.31.2.0',theory(equality)]),
% 0.70/1.12 [pos('R.2.1','L')]).
% 0.70/1.12 cnf('0.35.0.2',plain,
% 0.70/1.12 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.35.0.1','0.32.2.0',theory(equality)]),
% 0.70/1.12 [pos('R.2','L')]).
% 0.70/1.12 cnf('0.35.1.0',plain,
% 0.70/1.12 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.35.0.2']),
% 0.70/1.12 [weight('<47,32,8,[0,0,0,7]>')]).
% 0.70/1.12 cnf('0.35.2.0',plain,
% 0.70/1.12 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_33]).
% 0.70/1.12 cnf('0.36.0.0',plain,
% 0.70/1.12 ( complement(top) = join(zero,complement(top)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.35.2.0','0.15.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.36.0.1',plain,
% 0.70/1.12 ( zero = join(zero,complement(top)) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.36.0.0','0.15.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.36.0.2',plain,
% 0.70/1.12 ( zero = join(zero,zero) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.36.0.1','0.15.2.0',theory(equality)]),
% 0.70/1.12 [pos('R.2','L')]).
% 0.70/1.12 cnf('0.36.1.0',plain,
% 0.70/1.12 ( zero = join(zero,zero) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.36.0.2']),
% 0.70/1.12 [weight('<19,35,15,[1,0,0,1]>')]).
% 0.70/1.12 cnf('0.36.2.0',plain,
% 0.70/1.12 ( join(zero,zero) = zero ),
% 0.70/1.12 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_34]).
% 0.70/1.12 cnf('0.39.0.0',plain,
% 0.70/1.12 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.10.2.0','0.35.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.39.1.0',plain,
% 0.70/1.12 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.70/1.12 [weight('<48,35,10,[0,0,0,1]>')]).
% 0.70/1.12 cnf('0.39.2.0',plain,
% 0.70/1.12 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.70/1.12 inference(activate,[status(thm)],['0.39.1.0']),
% 0.70/1.12 [equation_3]).
% 0.70/1.12 cnf('0.40.0.0',plain,
% 0.70/1.12 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.5.2.0','0.36.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.40.1.0',plain,
% 0.70/1.12 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.40.0.0']),
% 0.70/1.12 [weight('<53,36,5,[0,0,0,1]>')]).
% 0.70/1.12 cnf('0.40.2.0',plain,
% 0.70/1.12 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_37]).
% 0.70/1.12 cnf('0.41.0.0',plain,
% 0.70/1.12 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.40.2.0','0.4.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2','L')]).
% 0.70/1.12 cnf('0.41.1.0',plain,
% 0.70/1.12 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.41.0.0']),
% 0.70/1.12 [weight('<53,40,4,[1,0,0,2]>')]).
% 0.70/1.12 cnf('0.41.2.0',plain,
% 0.70/1.12 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_38]).
% 0.70/1.12 cnf('0.44.0.0',plain,
% 0.70/1.12 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.26.2.0','0.6.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.44.1.0',plain,
% 0.70/1.12 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.70/1.12 [weight('<62,26,6,[1,0,0,1]>')]).
% 0.70/1.12 cnf('0.44.2.0',plain,
% 0.70/1.12 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_41]).
% 0.70/1.12 cnf('0.48.0.0',plain,
% 0.70/1.12 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.48.1.0',plain,
% 0.70/1.12 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.48.0.0']),
% 0.70/1.12 [weight('<69,6,5,[0,0,0,1]>')]).
% 0.70/1.12 cnf('0.48.2.0',plain,
% 0.70/1.12 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_45]).
% 0.70/1.12 cnf('0.49.0.0',plain,
% 0.70/1.12 ( join(top,complement(X1)) = join(X1,complement(X1)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.48.2.0','0.35.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2','L')]).
% 0.70/1.12 cnf('0.49.0.1',plain,
% 0.70/1.12 ( join(top,complement(X1)) = top ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.49.0.0','0.6.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.49.1.0',plain,
% 0.70/1.12 ( join(top,complement(X1)) = top ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.49.0.1']),
% 0.70/1.12 [weight('<29,48,35,[1,0,0,2]>')]).
% 0.70/1.12 cnf('0.49.2.0',plain,
% 0.70/1.12 ( join(top,complement(X1)) = top ),
% 0.70/1.12 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_46]).
% 0.70/1.12 cnf('0.52.0.0',plain,
% 0.70/1.12 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.48.2.0','0.6.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2','L')]).
% 0.70/1.12 cnf('0.52.1.0',plain,
% 0.70/1.12 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.52.0.0']),
% 0.70/1.12 [weight('<53,48,6,[1,0,0,2]>')]).
% 0.70/1.12 cnf('0.52.1.1',plain,
% 0.70/1.12 ( top = join(X1,top) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.52.1.0','0.49.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.52.2.0',plain,
% 0.70/1.12 ( join(X1,top) = top ),
% 0.70/1.12 inference(orient,[status(thm)],['0.52.1.1',theory(equality)]),
% 0.70/1.12 [x,rule_49]).
% 0.70/1.12 cnf('0.53.0.0',plain,
% 0.70/1.12 ( top = join(top,X1) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.52.2.0','0.4.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.53.1.0',plain,
% 0.70/1.12 ( top = join(top,X1) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.70/1.12 [weight('<19,52,4,[1,0,0,0]>')]).
% 0.70/1.12 cnf('0.53.2.0',plain,
% 0.70/1.12 ( join(top,X1) = top ),
% 0.70/1.12 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_50]).
% 0.70/1.12 cnf('0.54.0.0',plain,
% 0.70/1.12 ( top = converse(top) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.53.2.0','0.44.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.54.1.0',plain,
% 0.70/1.12 ( top = converse(top) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.70/1.12 [weight('<11,53,44,[1,0,0,0]>')]).
% 0.70/1.12 cnf('0.54.2.0',plain,
% 0.70/1.12 ( converse(top) = top ),
% 0.70/1.12 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_51]).
% 0.70/1.12 cnf('0.59.0.0',plain,
% 0.70/1.12 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 0.70/1.12 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.70/1.12 cnf('0.59.1.0',plain,
% 0.70/1.12 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.59.0.0']),
% 0.70/1.12 [weight('<?,1,4,[0,0,0,0]>')]).
% 0.70/1.12 cnf('0.59.1.1',plain,
% 0.70/1.12 ( join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1 ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.59.1.0','0.4.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.59.1.2',plain,
% 0.70/1.12 ( join(complement(join(complement(X1),X2)),meet(X1,X2)) = X1 ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.59.1.1','0.10.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2','L')]).
% 0.70/1.12 cnf('0.59.1.3',plain,
% 0.70/1.12 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.59.1.2','0.4.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.59.2.0',plain,
% 0.70/1.12 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.59.1.3',theory(equality)]),
% 0.70/1.12 [u,rule_56]).
% 0.70/1.12 cnf('0.63.0.0',plain,
% 0.70/1.12 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.59.2.0','0.13.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.63.0.1',plain,
% 0.70/1.12 ( X1 = join(zero,meet(X1,X1)) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.63.0.0','0.10.2.0',theory(equality)]),
% 0.70/1.12 [pos('R.2','L')]).
% 0.70/1.12 cnf('0.63.1.0',plain,
% 0.70/1.12 ( X1 = join(zero,meet(X1,X1)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.63.0.1']),
% 0.70/1.12 [weight('<41,59,13,[1,0,0,1]>')]).
% 0.70/1.12 cnf('0.63.2.0',plain,
% 0.70/1.12 ( join(zero,meet(X1,X1)) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_60]).
% 0.70/1.12 cnf('0.64.0.0',plain,
% 0.70/1.12 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.40.2.0','0.63.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2','L')]).
% 0.70/1.12 cnf('0.64.0.1',plain,
% 0.70/1.12 ( X1 = join(zero,X1) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.64.0.0','0.63.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.64.1.0',plain,
% 0.70/1.12 ( X1 = join(zero,X1) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.64.0.1']),
% 0.70/1.12 [weight('<19,63,40,[0,0,0,2]>')]).
% 0.70/1.12 cnf('0.64.2.0',plain,
% 0.70/1.12 ( join(zero,X1) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_61]).
% 0.70/1.12 cnf('0.67.0.0',plain,
% 0.70/1.12 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 0.70/1.12 inference(interreduction_right,[status(thm)],['0.41.2.0'])).
% 0.70/1.12 cnf('0.67.0.1',plain,
% 0.70/1.12 ( join(X1,zero) = join(zero,X1) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.67.0.0','0.64.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.67.0.2',plain,
% 0.70/1.12 ( join(X1,zero) = X1 ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.67.0.1','0.64.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.67.1.0',plain,
% 0.70/1.12 ( join(X1,zero) = X1 ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.67.0.2']),
% 0.70/1.12 [weight('<19,41,64,[0,0,0,0]>')]).
% 0.70/1.12 cnf('0.67.2.0',plain,
% 0.70/1.12 ( join(X1,zero) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_64]).
% 0.70/1.12 cnf('0.68.0.0',plain,
% 0.70/1.12 ( join(zero,meet(X1,X1)) = X1 ),
% 0.70/1.12 inference(interreduction_right,[status(thm)],['0.63.2.0'])).
% 0.70/1.12 cnf('0.68.0.1',plain,
% 0.70/1.12 ( meet(X1,X1) = X1 ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.68.0.0','0.64.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.68.1.0',plain,
% 0.70/1.12 ( meet(X1,X1) = X1 ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.68.0.1']),
% 0.70/1.12 [weight('<19,63,64,[0,0,0,0]>')]).
% 0.70/1.12 cnf('0.68.2.0',plain,
% 0.70/1.12 ( meet(X1,X1) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_65]).
% 0.70/1.12 cnf('0.69.0.0',plain,
% 0.70/1.12 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.70/1.12 inference(interreduction_right,[status(thm)],['0.39.2.0'])).
% 0.70/1.12 cnf('0.69.0.1',plain,
% 0.70/1.12 ( X1 = complement(complement(X1)) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.69.0.0','0.68.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.69.1.0',plain,
% 0.70/1.12 ( X1 = complement(complement(X1)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.69.0.1']),
% 0.70/1.12 [weight('<19,39,68,[0,0,0,0]>')]).
% 0.70/1.12 cnf('0.69.2.0',plain,
% 0.70/1.12 ( complement(complement(X1)) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_66]).
% 0.70/1.12 cnf('0.73.0.0',plain,
% 0.70/1.12 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.35.2.0','0.69.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.73.0.1',plain,
% 0.70/1.12 ( X1 = join(X1,complement(complement(X1))) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.73.0.0','0.69.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.73.0.2',plain,
% 0.70/1.12 ( X1 = join(X1,X1) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.73.0.1','0.69.2.0',theory(equality)]),
% 0.70/1.12 [pos('R.2','L')]).
% 0.70/1.12 cnf('0.73.1.0',plain,
% 0.70/1.12 ( X1 = join(X1,X1) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.73.0.2']),
% 0.70/1.12 [weight('<19,69,35,[0,0,0,1]>')]).
% 0.70/1.12 cnf('0.73.2.0',plain,
% 0.70/1.12 ( join(X1,X1) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_70]).
% 0.70/1.12 cnf('0.83.0.0',plain,
% 0.70/1.12 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.5.2.0','0.73.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.83.1.0',plain,
% 0.70/1.12 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.83.0.0']),
% 0.70/1.12 [weight('<53,73,5,[0,0,0,1]>')]).
% 0.70/1.12 cnf('0.83.2.0',plain,
% 0.70/1.12 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_80]).
% 0.70/1.12 cnf('0.84.0.0',plain,
% 0.70/1.12 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.83.2.0','0.59.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2','L')]).
% 0.70/1.12 cnf('0.84.0.1',plain,
% 0.70/1.12 ( X1 = join(meet(X1,X2),X1) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.84.0.0','0.59.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.84.1.0',plain,
% 0.70/1.12 ( X1 = join(meet(X1,X2),X1) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.84.0.1']),
% 0.70/1.12 [weight('<41,83,59,[1,0,0,2]>')]).
% 0.70/1.12 cnf('0.84.1.1',plain,
% 0.70/1.12 ( X1 = join(X1,meet(X1,X2)) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.84.1.0','0.4.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.84.2.0',plain,
% 0.70/1.12 ( join(X1,meet(X1,X2)) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.84.1.1',theory(equality)]),
% 0.70/1.12 [x,rule_81]).
% 0.70/1.12 cnf('0.85.0.0',plain,
% 0.70/1.12 ( X1 = join(X1,meet(X2,X1)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.84.2.0','0.18.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2','L')]).
% 0.70/1.12 cnf('0.85.1.0',plain,
% 0.70/1.12 ( X1 = join(X1,meet(X2,X1)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.85.0.0']),
% 0.70/1.12 [weight('<41,84,18,[1,0,0,2]>')]).
% 0.70/1.12 cnf('0.85.2.0',plain,
% 0.70/1.12 ( join(X1,meet(X2,X1)) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_82]).
% 0.70/1.12 cnf('0.86.0.0',plain,
% 0.70/1.12 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.83.2.0','0.4.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2','L')]).
% 0.70/1.12 cnf('0.86.1.0',plain,
% 0.70/1.12 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.86.0.0']),
% 0.70/1.12 [weight('<53,83,4,[1,0,0,2]>')]).
% 0.70/1.12 cnf('0.86.2.0',plain,
% 0.70/1.12 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_83]).
% 0.70/1.12 cnf('0.88.0.0',plain,
% 0.70/1.12 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.70/1.12 inference(interreduction_right,[status(thm)],['0.48.2.0'])).
% 0.70/1.12 cnf('0.88.0.1',plain,
% 0.70/1.12 ( join(X1,join(complement(X1),X2)) = top ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.88.0.0','0.53.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.88.1.0',plain,
% 0.70/1.12 ( join(X1,join(complement(X1),X2)) = top ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.88.0.1']),
% 0.70/1.12 [weight('<55,48,53,[0,0,0,0]>')]).
% 0.70/1.12 cnf('0.88.2.0',plain,
% 0.70/1.12 ( join(X1,join(complement(X1),X2)) = top ),
% 0.70/1.12 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_85]).
% 0.70/1.12 cnf('0.89.0.0',plain,
% 0.70/1.12 ( X1 = join(meet(X1,join(complement(complement(X1)),X2)),complement(top)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.59.2.0','0.88.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2.1','L')]).
% 0.70/1.12 cnf('0.89.0.1',plain,
% 0.70/1.12 ( X1 = join(meet(X1,join(X1,X2)),complement(top)) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.89.0.0','0.69.2.0',theory(equality)]),
% 0.70/1.12 [pos('R.1.2.1','L')]).
% 0.70/1.12 cnf('0.89.0.2',plain,
% 0.70/1.12 ( X1 = join(meet(X1,join(X1,X2)),zero) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.89.0.1','0.15.2.0',theory(equality)]),
% 0.70/1.12 [pos('R.2','L')]).
% 0.70/1.12 cnf('0.89.0.3',plain,
% 0.70/1.12 ( X1 = meet(X1,join(X1,X2)) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.89.0.2','0.67.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.89.1.0',plain,
% 0.70/1.12 ( X1 = meet(X1,join(X1,X2)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.89.0.3']),
% 0.70/1.12 [weight('<41,88,59,[0,0,0,5]>')]).
% 0.70/1.12 cnf('0.89.2.0',plain,
% 0.70/1.12 ( meet(X1,join(X1,X2)) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_86]).
% 0.70/1.12 cnf('0.100.0.0',plain,
% 0.70/1.12 ( join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),top) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.86.2.0','0.88.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2','L')]).
% 0.70/1.12 cnf('0.100.0.1',plain,
% 0.70/1.12 ( join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),top) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.100.0.0','0.5.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.100.0.2',plain,
% 0.70/1.12 ( join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,top)) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.100.0.1','0.5.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.100.0.3',plain,
% 0.70/1.12 ( join(complement(X1),join(X2,X1)) = join(complement(X1),top) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.100.0.2','0.52.2.0',theory(equality)]),
% 0.70/1.12 [pos('R.2','L')]).
% 0.70/1.12 cnf('0.100.0.4',plain,
% 0.70/1.12 ( join(complement(X1),join(X2,X1)) = top ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.100.0.3','0.52.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.100.1.0',plain,
% 0.70/1.12 ( join(complement(X1),join(X2,X1)) = top ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.100.0.4']),
% 0.70/1.12 [weight('<55,88,86,[0,0,0,2]>')]).
% 0.70/1.12 cnf('0.100.2.0',plain,
% 0.70/1.12 ( join(complement(X1),join(X2,X1)) = top ),
% 0.70/1.12 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_97]).
% 0.70/1.12 cnf('0.102.0.0',plain,
% 0.70/1.12 ( top = join(complement(meet(X1,X2)),X2) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.100.2.0','0.85.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2','L')]).
% 0.70/1.12 cnf('0.102.1.0',plain,
% 0.70/1.12 ( top = join(complement(meet(X1,X2)),X2) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.102.0.0']),
% 0.70/1.12 [weight('<55,100,85,[1,0,0,3]>')]).
% 0.70/1.12 cnf('0.102.1.1',plain,
% 0.70/1.12 ( top = join(X2,complement(meet(X1,X2))) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.102.1.0','0.4.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.102.2.0',plain,
% 0.70/1.12 ( join(X1,complement(meet(X2,X1))) = top ),
% 0.70/1.12 inference(orient,[status(thm)],['0.102.1.1',theory(equality)]),
% 0.70/1.12 [x,rule_99]).
% 0.70/1.12 cnf('0.104.0.0',plain,
% 0.70/1.12 ( meet(X1,meet(X2,complement(X1))) = complement(top) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.10.2.0','0.102.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.104.0.1',plain,
% 0.70/1.12 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.104.0.0','0.15.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.104.1.0',plain,
% 0.70/1.12 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.104.0.1']),
% 0.70/1.12 [weight('<55,102,10,[0,0,0,1]>')]).
% 0.70/1.12 cnf('0.104.2.0',plain,
% 0.70/1.12 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 0.70/1.12 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_101]).
% 0.70/1.12 cnf('0.106.0.0',plain,
% 0.70/1.12 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.104.2.0','0.69.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2.2','L')]).
% 0.70/1.12 cnf('0.106.1.0',plain,
% 0.70/1.12 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.106.0.0']),
% 0.70/1.12 [weight('<55,104,69,[1,0,0,4]>')]).
% 0.70/1.12 cnf('0.106.2.0',plain,
% 0.70/1.12 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 0.70/1.12 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_103]).
% 0.70/1.12 cnf('0.107.0.0',plain,
% 0.70/1.12 ( zero = meet(complement(join(X1,X2)),X1) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.106.2.0','0.89.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2','L')]).
% 0.70/1.12 cnf('0.107.1.0',plain,
% 0.70/1.12 ( zero = meet(complement(join(X1,X2)),X1) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.107.0.0']),
% 0.70/1.12 [weight('<55,106,89,[1,0,0,3]>')]).
% 0.70/1.12 cnf('0.107.1.1',plain,
% 0.70/1.12 ( zero = meet(X1,complement(join(X1,X2))) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.107.1.0','0.18.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.107.2.0',plain,
% 0.70/1.12 ( meet(X1,complement(join(X1,X2))) = zero ),
% 0.70/1.12 inference(orient,[status(thm)],['0.107.1.1',theory(equality)]),
% 0.70/1.12 [x,rule_104]).
% 0.70/1.12 cnf('0.109.0.0',plain,
% 0.70/1.12 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.10.2.0','0.69.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1.1','L')]).
% 0.70/1.12 cnf('0.109.1.0',plain,
% 0.70/1.12 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.109.0.0']),
% 0.70/1.12 [weight('<59,69,10,[0,0,0,2]>')]).
% 0.70/1.12 cnf('0.109.2.0',plain,
% 0.70/1.12 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_106]).
% 0.70/1.12 cnf('0.111.0.0',plain,
% 0.70/1.12 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.109.2.0','0.4.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.111.1.0',plain,
% 0.70/1.12 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.111.0.0']),
% 0.70/1.12 [weight('<59,109,4,[1,0,0,1]>')]).
% 0.70/1.12 cnf('0.111.2.0',plain,
% 0.70/1.12 ( complement(join(complement(X1),X2)) = meet(complement(X2),X1) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_107]).
% 0.70/1.12 cnf('0.112.0.0',plain,
% 0.70/1.12 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.69.2.0','0.109.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.112.1.0',plain,
% 0.70/1.12 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.112.0.0']),
% 0.70/1.12 [weight('<59,109,69,[0,0,0,1]>')]).
% 0.70/1.12 cnf('0.112.2.0',plain,
% 0.70/1.12 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_108]).
% 0.70/1.12 cnf('0.114.0.0',plain,
% 0.70/1.12 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.112.2.0','0.18.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.114.1.0',plain,
% 0.70/1.12 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.114.0.0']),
% 0.70/1.12 [weight('<59,112,18,[1,0,0,1]>')]).
% 0.70/1.12 cnf('0.114.2.0',plain,
% 0.70/1.12 ( complement(meet(X1,complement(X2))) = join(X2,complement(X1)) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_110]).
% 0.70/1.12 cnf('0.120.0.0',plain,
% 0.70/1.12 ( join(X1,converse(meet(X2,converse(X1)))) = converse(converse(X1)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.26.2.0','0.85.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.120.0.1',plain,
% 0.70/1.12 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.120.0.0','0.3.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.120.1.0',plain,
% 0.70/1.12 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.120.0.1']),
% 0.70/1.12 [weight('<71,85,26,[0,0,0,1]>')]).
% 0.70/1.12 cnf('0.120.2.0',plain,
% 0.70/1.12 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_116]).
% 0.70/1.12 cnf('0.145.0.0',plain,
% 0.70/1.12 ( converse(X1) = meet(converse(X1),converse(join(X1,X2))) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.89.2.0','0.9.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2','L')]).
% 0.70/1.12 cnf('0.145.1.0',plain,
% 0.70/1.12 ( converse(X1) = meet(converse(X1),converse(join(X1,X2))) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.145.0.0']),
% 0.70/1.12 [weight('<79,89,9,[1,0,0,2]>')]).
% 0.70/1.12 cnf('0.145.2.0',plain,
% 0.70/1.12 ( meet(converse(X1),converse(join(X1,X2))) = converse(X1) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.145.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_141]).
% 0.70/1.12 cnf('0.184.0.0',plain,
% 0.70/1.12 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 0.70/1.12 inference(interreduction_right,[status(thm)],['0.59.2.0'])).
% 0.70/1.12 cnf('0.184.0.1',plain,
% 0.70/1.12 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.184.0.0','0.111.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2','L')]).
% 0.70/1.12 cnf('0.184.1.0',plain,
% 0.70/1.12 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.184.0.1']),
% 0.70/1.12 [weight('<89,59,111,[0,0,0,0]>')]).
% 0.70/1.12 cnf('0.184.2.0',plain,
% 0.70/1.12 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.184.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_179]).
% 0.70/1.12 cnf('0.185.0.0',plain,
% 0.70/1.12 ( sk2 = join(zero,meet(complement(converse(sk1)),sk2)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.184.2.0','0.19.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.185.0.1',plain,
% 0.70/1.12 ( sk2 = meet(complement(converse(sk1)),sk2) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.185.0.0','0.64.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.185.1.0',plain,
% 0.70/1.12 ( sk2 = meet(complement(converse(sk1)),sk2) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.185.0.1']),
% 0.70/1.12 [weight('<41,184,19,[1,0,0,1]>')]).
% 0.70/1.12 cnf('0.185.1.1',plain,
% 0.70/1.12 ( sk2 = meet(sk2,complement(converse(sk1))) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.185.1.0','0.18.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.185.2.0',plain,
% 0.70/1.12 ( meet(sk2,complement(converse(sk1))) = sk2 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.185.1.1',theory(equality)]),
% 0.70/1.12 [x,rule_180]).
% 0.70/1.12 cnf('0.186.0.0',plain,
% 0.70/1.12 ( join(converse(sk1),complement(sk2)) = complement(sk2) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.114.2.0','0.185.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.186.1.0',plain,
% 0.70/1.12 ( join(converse(sk1),complement(sk2)) = complement(sk2) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.186.0.0']),
% 0.70/1.12 [weight('<47,185,114,[0,0,0,1]>')]).
% 0.70/1.12 cnf('0.186.2.0',plain,
% 0.70/1.12 ( join(converse(sk1),complement(sk2)) = complement(sk2) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.186.1.0',theory(equality)]),
% 0.70/1.12 [u,rule_181]).
% 0.70/1.12 cnf('0.187.0.0',plain,
% 0.70/1.12 ( converse(converse(sk1)) = meet(converse(converse(sk1)),converse(complement(sk2))) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.145.2.0','0.186.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2.1','L')]).
% 0.70/1.12 cnf('0.187.0.1',plain,
% 0.70/1.12 ( sk1 = meet(converse(converse(sk1)),converse(complement(sk2))) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.187.0.0','0.3.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.187.0.2',plain,
% 0.70/1.12 ( sk1 = meet(sk1,converse(complement(sk2))) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.187.0.1','0.3.2.0',theory(equality)]),
% 0.70/1.12 [pos('R.1','L')]).
% 0.70/1.12 cnf('0.187.1.0',plain,
% 0.70/1.12 ( sk1 = meet(sk1,converse(complement(sk2))) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.187.0.2']),
% 0.70/1.12 [weight('<41,186,145,[0,0,0,4]>')]).
% 0.70/1.12 cnf('0.187.2.0',plain,
% 0.70/1.12 ( meet(sk1,converse(complement(sk2))) = sk1 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 0.70/1.12 [x,rule_182]).
% 0.70/1.12 cnf('0.191.0.0',plain,
% 0.70/1.12 ( top = join(converse(complement(sk2)),complement(sk1)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.102.2.0','0.187.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2.1','L')]).
% 0.70/1.12 cnf('0.191.1.0',plain,
% 0.70/1.12 ( top = join(converse(complement(sk2)),complement(sk1)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.191.0.0']),
% 0.70/1.12 [weight('<55,187,102,[0,0,0,3]>')]).
% 0.70/1.12 cnf('0.191.1.1',plain,
% 0.70/1.12 ( top = join(complement(sk1),converse(complement(sk2))) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.191.1.0','0.4.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.191.2.0',plain,
% 0.70/1.12 ( join(complement(sk1),converse(complement(sk2))) = top ),
% 0.70/1.12 inference(orient,[status(thm)],['0.191.1.1',theory(equality)]),
% 0.70/1.12 [x,rule_186]).
% 0.70/1.12 cnf('0.193.0.0',plain,
% 0.70/1.12 ( join(converse(complement(sk1)),complement(sk2)) = converse(top) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.27.2.0','0.191.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.193.0.1',plain,
% 0.70/1.12 ( join(converse(complement(sk1)),complement(sk2)) = top ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.193.0.0','0.54.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.193.1.0',plain,
% 0.70/1.12 ( join(converse(complement(sk1)),complement(sk2)) = top ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.193.0.1']),
% 0.70/1.12 [weight('<55,191,27,[0,0,0,1]>')]).
% 0.70/1.12 cnf('0.193.1.1',plain,
% 0.70/1.12 ( join(complement(sk2),converse(complement(sk1))) = top ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.193.1.0','0.4.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.193.2.0',plain,
% 0.70/1.12 ( join(complement(sk2),converse(complement(sk1))) = top ),
% 0.70/1.12 inference(orient,[status(thm)],['0.193.1.1',theory(equality)]),
% 0.70/1.12 [u,rule_188]).
% 0.70/1.12 cnf('0.194.0.0',plain,
% 0.70/1.12 ( meet(complement(converse(complement(sk1))),sk2) = complement(top) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.111.2.0','0.193.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.194.0.1',plain,
% 0.70/1.12 ( meet(complement(converse(complement(sk1))),sk2) = zero ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.194.0.0','0.15.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.194.1.0',plain,
% 0.70/1.12 ( meet(complement(converse(complement(sk1))),sk2) = zero ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.194.0.1']),
% 0.70/1.12 [weight('<55,193,111,[0,0,0,1]>')]).
% 0.70/1.12 cnf('0.194.1.1',plain,
% 0.70/1.12 ( meet(sk2,complement(converse(complement(sk1)))) = zero ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.194.1.0','0.18.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('0.194.2.0',plain,
% 0.70/1.12 ( meet(sk2,complement(converse(complement(sk1)))) = zero ),
% 0.70/1.12 inference(orient,[status(thm)],['0.194.1.1',theory(equality)]),
% 0.70/1.12 [u,rule_189]).
% 0.70/1.12 cnf('0.195.0.0',plain,
% 0.70/1.12 ( sk2 = join(zero,meet(complement(complement(converse(complement(sk1)))),sk2)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.184.2.0','0.194.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.1','L')]).
% 0.70/1.12 cnf('0.195.0.1',plain,
% 0.70/1.12 ( sk2 = meet(complement(complement(converse(complement(sk1)))),sk2) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.195.0.0','0.64.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.195.0.2',plain,
% 0.70/1.12 ( sk2 = meet(converse(complement(sk1)),sk2) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.195.0.1','0.69.2.0',theory(equality)]),
% 0.70/1.12 [pos('R.1','L')]).
% 0.70/1.12 cnf('0.195.1.0',plain,
% 0.70/1.12 ( sk2 = meet(converse(complement(sk1)),sk2) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.195.0.2']),
% 0.70/1.12 [weight('<41,194,184,[0,0,0,1]>')]).
% 0.70/1.12 cnf('0.195.1.1',plain,
% 0.70/1.12 ( sk2 = meet(sk2,converse(complement(sk1))) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.195.1.0','0.18.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.195.2.0',plain,
% 0.70/1.12 ( meet(sk2,converse(complement(sk1))) = sk2 ),
% 0.70/1.12 inference(orient,[status(thm)],['0.195.1.1',theory(equality)]),
% 0.70/1.12 [x,rule_190]).
% 0.70/1.12 cnf('0.196.0.0',plain,
% 0.70/1.12 ( complement(sk1) = join(complement(sk1),converse(sk2)) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.120.2.0','0.195.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2.1','L')]).
% 0.70/1.12 cnf('0.196.1.0',plain,
% 0.70/1.12 ( complement(sk1) = join(complement(sk1),converse(sk2)) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.196.0.0']),
% 0.70/1.12 [weight('<47,195,120,[0,0,0,3]>')]).
% 0.70/1.12 cnf('0.196.1.1',plain,
% 0.70/1.12 ( complement(sk1) = join(converse(sk2),complement(sk1)) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.196.1.0','0.4.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.196.2.0',plain,
% 0.70/1.12 ( join(converse(sk2),complement(sk1)) = complement(sk1) ),
% 0.70/1.12 inference(orient,[status(thm)],['0.196.1.1',theory(equality)]),
% 0.70/1.12 [x,rule_191]).
% 0.70/1.12 cnf('0.197.0.0',plain,
% 0.70/1.12 ( zero = meet(converse(sk2),complement(complement(sk1))) ),
% 0.70/1.12 inference(cp,[status(thm)],['0.107.2.0','0.196.2.0',theory(equality)]),
% 0.70/1.12 [pos('L.2.1','L')]).
% 0.70/1.12 cnf('0.197.0.1',plain,
% 0.70/1.12 ( zero = meet(converse(sk2),sk1) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.197.0.0','0.69.2.0',theory(equality)]),
% 0.70/1.12 [pos('R.2','L')]).
% 0.70/1.12 cnf('0.197.1.0',plain,
% 0.70/1.12 ( zero = meet(converse(sk2),sk1) ),
% 0.70/1.12 inference(weigh,[status(thm)],['0.197.0.1']),
% 0.70/1.12 [weight('<29,196,107,[0,0,0,3]>')]).
% 0.70/1.12 cnf('0.197.1.1',plain,
% 0.70/1.12 ( zero = meet(sk1,converse(sk2)) ),
% 0.70/1.12 inference(reduction,[status(thm)],['0.197.1.0','0.18.2.0',theory(equality)]),
% 0.70/1.12 [pos('R','L')]).
% 0.70/1.12 cnf('0.197.2.0',plain,
% 0.70/1.12 ( meet(sk1,converse(sk2)) = zero ),
% 0.70/1.12 inference(orient,[status(thm)],['0.197.1.1',theory(equality)]),
% 0.70/1.12 [x,rule_192]).
% 0.70/1.12 cnf('1.0.0.0',conjecture,
% 0.70/1.12 ( meet(sk1,converse(sk2)) = zero ),
% 0.70/1.12 file('/tmp/WALDMEISTER_311_n026',conjecture_1)).
% 0.70/1.12 cnf('1.0.0.1',plain,
% 0.70/1.12 ( zero = zero ),
% 0.70/1.12 inference(reduction,[status(thm)],['1.0.0.0','0.197.2.0',theory(equality)]),
% 0.70/1.12 [pos('L','L')]).
% 0.70/1.12 cnf('1.0.0.2',plain,
% 0.70/1.12 ( $true ),
% 0.70/1.12 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.70/1.12 [conjecture_1]).
% 0.70/1.12
% 0.70/1.12 Proved Goals:
% 0.70/1.12 No. 1: meet(sk1,converse(sk2)) ?= zero joined, current: zero = zero
% 0.70/1.12 1 goal was specified, which was proved.
% 0.70/1.12 % SZS output end CNFRefutation
% 0.70/1.12 #END OF PROOF
% 0.70/1.12
% 0.70/1.12 Problem WALDMEISTER_311_n026
% 0.70/1.12 CPs.gen 6347
% 0.70/1.12 CPs.reexp 0
% 0.70/1.12 Select 722
% 0.70/1.12 R 192
% 0.70/1.12 E 5
% 0.70/1.12 vsize 6.7M
% 0.70/1.12 rss 3.9M
% 0.70/1.12 process.time 0.033s
% 0.70/1.12 wallclock.time 0.033s
% 0.70/1.12 status S
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Waldmeister states: Goal proved.
% 0.70/1.12 % SZS status Unsatisfiable
%------------------------------------------------------------------------------