TSTP Solution File: LAT230-10 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT230-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.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 : Sun Jul 17 07:15:48 EDT 2022
% Result : Unsatisfiable 12.61s 13.07s
% Output : CNFRefutation 12.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT230-10 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 15:27:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.99 * |/ | \/ | *
% 0.58/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.99 * A. Jaeger and B. Loechner | | *
% 0.58/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 0.58/0.99
% 0.58/0.99 Goals:
% 0.58/0.99 ------
% 0.58/0.99
% 0.58/0.99 ( 1) join(complement(b),complement(a)) ?=? complement(a)
% 0.58/0.99
% 0.58/0.99 Detected structure: Verband
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 12.61/13.07 joined goal: 1 join(complement(b),complement(a)) ?= complement(a) to complement(a)
% 12.61/13.07 goal joined
% 12.61/13.07 % SZS status Unsatisfiable
% 12.61/13.07 #START OF PROOF
% 12.61/13.07 % SZS output start CNFRefutation
% 12.61/13.07 cnf('0.1.0.0',axiom,
% 12.61/13.07 ( X1 = meet(X1,X1) ),
% 12.61/13.07 file('/tmp/WALDMEISTER_18652_n020')).
% 12.61/13.07 cnf('0.1.1.0',plain,
% 12.61/13.07 ( X1 = meet(X1,X1) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.1.0.0']),
% 12.61/13.07 [weight('<0,0,0,[0,0,0,1]>')]).
% 12.61/13.07 cnf('0.1.2.0',plain,
% 12.61/13.07 ( meet(X1,X1) = X1 ),
% 12.61/13.07 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_1]).
% 12.61/13.07 cnf('0.2.0.0',axiom,
% 12.61/13.07 ( X1 = meet(X1,join(X1,X2)) ),
% 12.61/13.07 file('/tmp/WALDMEISTER_18652_n020')).
% 12.61/13.07 cnf('0.2.1.0',plain,
% 12.61/13.07 ( X1 = meet(X1,join(X1,X2)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.2.0.0']),
% 12.61/13.07 [weight('<1,0,0,[0,0,0,2]>')]).
% 12.61/13.07 cnf('0.2.2.0',plain,
% 12.61/13.07 ( meet(X1,join(X1,X2)) = X1 ),
% 12.61/13.07 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_2]).
% 12.61/13.07 cnf('0.3.0.0',axiom,
% 12.61/13.07 ( X1 = join(X1,X1) ),
% 12.61/13.07 file('/tmp/WALDMEISTER_18652_n020')).
% 12.61/13.07 cnf('0.3.1.0',plain,
% 12.61/13.07 ( X1 = join(X1,X1) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.3.0.0']),
% 12.61/13.07 [weight('<2,0,0,[0,0,0,3]>')]).
% 12.61/13.07 cnf('0.3.2.0',plain,
% 12.61/13.07 ( join(X1,X1) = X1 ),
% 12.61/13.07 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_3]).
% 12.61/13.07 cnf('0.4.0.0',axiom,
% 12.61/13.07 ( X1 = join(X1,meet(X1,X2)) ),
% 12.61/13.07 file('/tmp/WALDMEISTER_18652_n020')).
% 12.61/13.07 cnf('0.4.1.0',plain,
% 12.61/13.07 ( X1 = join(X1,meet(X1,X2)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.4.0.0']),
% 12.61/13.07 [weight('<3,0,0,[0,0,0,4]>')]).
% 12.61/13.07 cnf('0.4.2.0',plain,
% 12.61/13.07 ( join(X1,meet(X1,X2)) = X1 ),
% 12.61/13.07 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_4]).
% 12.61/13.07 cnf('0.5.0.0',axiom,
% 12.61/13.07 ( X1 = ifeq(X2,X2,X1,X3) ),
% 12.61/13.07 file('/tmp/WALDMEISTER_18652_n020')).
% 12.61/13.07 cnf('0.5.1.0',plain,
% 12.61/13.07 ( X1 = ifeq(X2,X2,X1,X3) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.5.0.0']),
% 12.61/13.07 [weight('<4,0,0,[0,0,0,5]>')]).
% 12.61/13.07 cnf('0.5.2.0',plain,
% 12.61/13.07 ( ifeq(X1,X1,X2,X3) = X2 ),
% 12.61/13.07 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_5]).
% 12.61/13.07 cnf('0.6.0.0',axiom,
% 12.61/13.07 ( X1 = ifeq(join(X2,X1),one,ifeq(meet(X2,X1),zero,complement(X2),X1),X1) ),
% 12.61/13.07 file('/tmp/WALDMEISTER_18652_n020')).
% 12.61/13.07 cnf('0.6.1.0',plain,
% 12.61/13.07 ( X1 = ifeq(join(X2,X1),one,ifeq(meet(X2,X1),zero,complement(X2),X1),X1) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.6.0.0']),
% 12.61/13.07 [weight('<5,0,0,[0,0,0,6]>')]).
% 12.61/13.07 cnf('0.6.2.0',plain,
% 12.61/13.07 ( ifeq(join(X1,X2),one,ifeq(meet(X1,X2),zero,complement(X1),X2),X2) = X2 ),
% 12.61/13.07 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_6]).
% 12.61/13.07 cnf('0.7.0.0',axiom,
% 12.61/13.07 ( meet(X1,X2) = meet(X2,X1) ),
% 12.61/13.07 file('/tmp/WALDMEISTER_18652_n020')).
% 12.61/13.07 cnf('0.7.1.0',plain,
% 12.61/13.07 ( meet(X1,X2) = meet(X2,X1) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.7.0.0']),
% 12.61/13.07 [weight('<6,0,0,[0,0,0,7]>')]).
% 12.61/13.07 cnf('0.7.2.0',plain,
% 12.61/13.07 ( meet(X1,X2) = meet(X2,X1) ),
% 12.61/13.07 inference(activate,[status(thm)],['0.7.1.0']),
% 12.61/13.07 [equation_1]).
% 12.61/13.07 cnf('0.8.0.0',axiom,
% 12.61/13.07 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 12.61/13.07 file('/tmp/WALDMEISTER_18652_n020')).
% 12.61/13.07 cnf('0.8.1.0',plain,
% 12.61/13.07 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.8.0.0']),
% 12.61/13.07 [weight('<7,0,0,[0,0,0,8]>')]).
% 12.61/13.07 cnf('0.8.2.0',plain,
% 12.61/13.07 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_7]).
% 12.61/13.07 cnf('0.9.0.0',axiom,
% 12.61/13.07 ( meet(X1,join(meet(X1,X2),join(meet(X1,X3),meet(X2,join(X1,X3))))) = join(meet(X1,X2),meet(X1,X3)) ),
% 12.61/13.07 file('/tmp/WALDMEISTER_18652_n020')).
% 12.61/13.07 cnf('0.9.1.0',plain,
% 12.61/13.07 ( meet(X1,join(meet(X1,X2),join(meet(X1,X3),meet(X2,join(X1,X3))))) = join(meet(X1,X2),meet(X1,X3)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.9.0.0']),
% 12.61/13.07 [weight('<8,0,0,[0,0,0,9]>')]).
% 12.61/13.07 cnf('0.9.2.0',plain,
% 12.61/13.07 ( meet(X1,join(meet(X1,X2),join(meet(X1,X3),meet(X2,join(X1,X3))))) = join(meet(X1,X2),meet(X1,X3)) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_8]).
% 12.61/13.07 cnf('0.10.0.0',axiom,
% 12.61/13.07 ( meet(X1,complement(X1)) = zero ),
% 12.61/13.07 file('/tmp/WALDMEISTER_18652_n020')).
% 12.61/13.07 cnf('0.10.1.0',plain,
% 12.61/13.07 ( meet(X1,complement(X1)) = zero ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.10.0.0']),
% 12.61/13.07 [weight('<9,0,0,[0,0,0,10]>')]).
% 12.61/13.07 cnf('0.10.2.0',plain,
% 12.61/13.07 ( meet(X1,complement(X1)) = zero ),
% 12.61/13.07 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_9]).
% 12.61/13.07 cnf('0.11.0.0',axiom,
% 12.61/13.07 ( meet(b,a) = a ),
% 12.61/13.07 file('/tmp/WALDMEISTER_18652_n020')).
% 12.61/13.07 cnf('0.11.1.0',plain,
% 12.61/13.07 ( meet(b,a) = a ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.11.0.0']),
% 12.61/13.07 [weight('<10,0,0,[0,0,0,11]>')]).
% 12.61/13.07 cnf('0.11.2.0',plain,
% 12.61/13.07 ( meet(b,a) = a ),
% 12.61/13.07 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_10]).
% 12.61/13.07 cnf('0.12.0.0',axiom,
% 12.61/13.07 ( join(X1,X2) = join(X2,X1) ),
% 12.61/13.07 file('/tmp/WALDMEISTER_18652_n020')).
% 12.61/13.07 cnf('0.12.1.0',plain,
% 12.61/13.07 ( join(X1,X2) = join(X2,X1) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.12.0.0']),
% 12.61/13.07 [weight('<11,0,0,[0,0,0,12]>')]).
% 12.61/13.07 cnf('0.12.2.0',plain,
% 12.61/13.07 ( join(X1,X2) = join(X2,X1) ),
% 12.61/13.07 inference(activate,[status(thm)],['0.12.1.0']),
% 12.61/13.07 [equation_2]).
% 12.61/13.07 cnf('0.13.0.0',axiom,
% 12.61/13.07 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 12.61/13.07 file('/tmp/WALDMEISTER_18652_n020')).
% 12.61/13.07 cnf('0.13.1.0',plain,
% 12.61/13.07 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.13.0.0']),
% 12.61/13.07 [weight('<12,0,0,[0,0,0,13]>')]).
% 12.61/13.07 cnf('0.13.2.0',plain,
% 12.61/13.07 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_11]).
% 12.61/13.07 cnf('0.14.0.0',axiom,
% 12.61/13.07 ( join(X1,complement(X1)) = one ),
% 12.61/13.07 file('/tmp/WALDMEISTER_18652_n020')).
% 12.61/13.07 cnf('0.14.1.0',plain,
% 12.61/13.07 ( join(X1,complement(X1)) = one ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.14.0.0']),
% 12.61/13.07 [weight('<13,0,0,[0,0,0,14]>')]).
% 12.61/13.07 cnf('0.14.2.0',plain,
% 12.61/13.07 ( join(X1,complement(X1)) = one ),
% 12.61/13.07 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_12]).
% 12.61/13.07 cnf('0.15.0.0',plain,
% 12.61/13.07 ( X1 = join(X1,zero) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.4.2.0','0.10.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.15.1.0',plain,
% 12.61/13.07 ( X1 = join(X1,zero) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.15.0.0']),
% 12.61/13.07 [weight('<3,10,4,[0,0,0,2]>')]).
% 12.61/13.07 cnf('0.15.2.0',plain,
% 12.61/13.07 ( join(X1,zero) = X1 ),
% 12.61/13.07 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_13]).
% 12.61/13.07 cnf('0.16.0.0',plain,
% 12.61/13.07 ( b = join(b,a) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.4.2.0','0.11.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.16.1.0',plain,
% 12.61/13.07 ( b = join(b,a) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.16.0.0']),
% 12.61/13.07 [weight('<3,11,4,[0,0,0,2]>')]).
% 12.61/13.07 cnf('0.16.2.0',plain,
% 12.61/13.07 ( join(b,a) = b ),
% 12.61/13.07 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_14]).
% 12.61/13.07 cnf('0.17.0.0',plain,
% 12.61/13.07 ( X1 = meet(X1,one) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.2.2.0','0.14.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.17.1.0',plain,
% 12.61/13.07 ( X1 = meet(X1,one) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.17.0.0']),
% 12.61/13.07 [weight('<3,14,2,[0,0,0,2]>')]).
% 12.61/13.07 cnf('0.17.2.0',plain,
% 12.61/13.07 ( meet(X1,one) = X1 ),
% 12.61/13.07 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_15]).
% 12.61/13.07 cnf('0.18.0.0',plain,
% 12.61/13.07 ( X1 = join(zero,X1) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.15.2.0','0.12.2.0',theory(equality)]),
% 12.61/13.07 [pos('L','L')]).
% 12.61/13.07 cnf('0.18.1.0',plain,
% 12.61/13.07 ( X1 = join(zero,X1) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.18.0.0']),
% 12.61/13.07 [weight('<3,15,12,[1,0,0,0]>')]).
% 12.61/13.07 cnf('0.18.2.0',plain,
% 12.61/13.07 ( join(zero,X1) = X1 ),
% 12.61/13.07 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_16]).
% 12.61/13.07 cnf('0.20.0.0',plain,
% 12.61/13.07 ( X1 = meet(one,X1) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.17.2.0','0.7.2.0',theory(equality)]),
% 12.61/13.07 [pos('L','L')]).
% 12.61/13.07 cnf('0.20.1.0',plain,
% 12.61/13.07 ( X1 = meet(one,X1) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.20.0.0']),
% 12.61/13.07 [weight('<3,17,7,[1,0,0,0]>')]).
% 12.61/13.07 cnf('0.20.2.0',plain,
% 12.61/13.07 ( meet(one,X1) = X1 ),
% 12.61/13.07 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_18]).
% 12.61/13.07 cnf('0.22.0.0',plain,
% 12.61/13.07 ( zero = meet(zero,X1) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.2.2.0','0.18.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.22.1.0',plain,
% 12.61/13.07 ( zero = meet(zero,X1) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.22.0.0']),
% 12.61/13.07 [weight('<3,18,2,[0,0,0,2]>')]).
% 12.61/13.07 cnf('0.22.2.0',plain,
% 12.61/13.07 ( meet(zero,X1) = zero ),
% 12.61/13.07 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_20]).
% 12.61/13.07 cnf('0.23.0.0',plain,
% 12.61/13.07 ( join(one,X1) = one ),
% 12.61/13.07 inference(cp,[status(thm)],['0.20.2.0','0.2.2.0',theory(equality)]),
% 12.61/13.07 [pos('L','L')]).
% 12.61/13.07 cnf('0.23.1.0',plain,
% 12.61/13.07 ( join(one,X1) = one ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.23.0.0']),
% 12.61/13.07 [weight('<3,20,2,[1,0,0,0]>')]).
% 12.61/13.07 cnf('0.23.2.0',plain,
% 12.61/13.07 ( join(one,X1) = one ),
% 12.61/13.07 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_21]).
% 12.61/13.07 cnf('0.25.0.0',plain,
% 12.61/13.07 ( one = join(X1,one) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.23.2.0','0.12.2.0',theory(equality)]),
% 12.61/13.07 [pos('L','L')]).
% 12.61/13.07 cnf('0.25.1.0',plain,
% 12.61/13.07 ( one = join(X1,one) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.25.0.0']),
% 12.61/13.07 [weight('<3,23,12,[1,0,0,0]>')]).
% 12.61/13.07 cnf('0.25.2.0',plain,
% 12.61/13.07 ( join(X1,one) = one ),
% 12.61/13.07 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_23]).
% 12.61/13.07 cnf('0.26.0.0',plain,
% 12.61/13.07 ( X1 = join(X1,meet(X2,X1)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.4.2.0','0.7.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.26.1.0',plain,
% 12.61/13.07 ( X1 = join(X1,meet(X2,X1)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.26.0.0']),
% 12.61/13.07 [weight('<5,7,4,[0,0,0,2]>')]).
% 12.61/13.07 cnf('0.26.2.0',plain,
% 12.61/13.07 ( join(X1,meet(X2,X1)) = X1 ),
% 12.61/13.07 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_24]).
% 12.61/13.07 cnf('0.27.0.0',plain,
% 12.61/13.07 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.8.2.0','0.1.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.1','L')]).
% 12.61/13.07 cnf('0.27.1.0',plain,
% 12.61/13.07 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.27.0.0']),
% 12.61/13.07 [weight('<5,8,1,[1,0,0,1]>')]).
% 12.61/13.07 cnf('0.27.2.0',plain,
% 12.61/13.07 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_25]).
% 12.61/13.07 cnf('0.28.0.0',plain,
% 12.61/13.07 ( meet(b,meet(a,X1)) = meet(a,X1) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.8.2.0','0.11.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.1','L')]).
% 12.61/13.07 cnf('0.28.1.0',plain,
% 12.61/13.07 ( meet(b,meet(a,X1)) = meet(a,X1) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.28.0.0']),
% 12.61/13.07 [weight('<5,11,8,[0,0,0,1]>')]).
% 12.61/13.07 cnf('0.28.2.0',plain,
% 12.61/13.07 ( meet(b,meet(a,X1)) = meet(a,X1) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_26]).
% 12.61/13.07 cnf('0.29.0.0',plain,
% 12.61/13.07 ( X1 = meet(X1,join(X2,X1)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.2.2.0','0.12.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.29.1.0',plain,
% 12.61/13.07 ( X1 = meet(X1,join(X2,X1)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.29.0.0']),
% 12.61/13.07 [weight('<5,12,2,[0,0,0,2]>')]).
% 12.61/13.07 cnf('0.29.2.0',plain,
% 12.61/13.07 ( meet(X1,join(X2,X1)) = X1 ),
% 12.61/13.07 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_27]).
% 12.61/13.07 cnf('0.30.0.0',plain,
% 12.61/13.07 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.13.2.0','0.3.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.1','L')]).
% 12.61/13.07 cnf('0.30.1.0',plain,
% 12.61/13.07 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.30.0.0']),
% 12.61/13.07 [weight('<5,13,3,[1,0,0,1]>')]).
% 12.61/13.07 cnf('0.30.2.0',plain,
% 12.61/13.07 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_28]).
% 12.61/13.07 cnf('0.31.0.0',plain,
% 12.61/13.07 ( join(b,join(a,X1)) = join(b,X1) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.13.2.0','0.16.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.1','L')]).
% 12.61/13.07 cnf('0.31.1.0',plain,
% 12.61/13.07 ( join(b,join(a,X1)) = join(b,X1) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.31.0.0']),
% 12.61/13.07 [weight('<5,16,13,[0,0,0,1]>')]).
% 12.61/13.07 cnf('0.31.2.0',plain,
% 12.61/13.07 ( join(b,join(a,X1)) = join(b,X1) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_29]).
% 12.61/13.07 cnf('0.32.0.0',plain,
% 12.61/13.07 ( join(b,complement(a)) = join(b,one) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.31.2.0','0.14.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.32.0.1',plain,
% 12.61/13.07 ( join(b,complement(a)) = one ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.32.0.0','0.25.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.32.1.0',plain,
% 12.61/13.07 ( join(b,complement(a)) = one ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.32.0.1']),
% 12.61/13.07 [weight('<4,31,14,[1,0,0,2]>')]).
% 12.61/13.07 cnf('0.32.2.0',plain,
% 12.61/13.07 ( join(b,complement(a)) = one ),
% 12.61/13.07 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_30]).
% 12.61/13.07 cnf('0.35.0.0',plain,
% 12.61/13.07 ( join(meet(one,X1),meet(one,X2)) = meet(one,join(meet(one,X1),join(meet(one,X2),meet(X1,one)))) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.9.2.0','0.23.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2.2.2.2','L')]).
% 12.61/13.07 cnf('0.35.0.1',plain,
% 12.61/13.07 ( join(X1,meet(one,X2)) = meet(one,join(meet(one,X1),join(meet(one,X2),meet(X1,one)))) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.35.0.0','0.20.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.1','L')]).
% 12.61/13.07 cnf('0.35.0.2',plain,
% 12.61/13.07 ( join(X1,X2) = meet(one,join(meet(one,X1),join(meet(one,X2),meet(X1,one)))) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.35.0.1','0.20.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.35.0.3',plain,
% 12.61/13.07 ( join(X1,X2) = join(meet(one,X1),join(meet(one,X2),meet(X1,one))) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.35.0.2','0.20.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.35.0.4',plain,
% 12.61/13.07 ( join(X1,X2) = join(X1,join(meet(one,X2),meet(X1,one))) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.35.0.3','0.20.2.0',theory(equality)]),
% 12.61/13.07 [pos('R.1','L')]).
% 12.61/13.07 cnf('0.35.0.5',plain,
% 12.61/13.07 ( join(X1,X2) = join(X1,join(X2,meet(X1,one))) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.35.0.4','0.20.2.0',theory(equality)]),
% 12.61/13.07 [pos('R.2.1','L')]).
% 12.61/13.07 cnf('0.35.0.6',plain,
% 12.61/13.07 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.35.0.5','0.17.2.0',theory(equality)]),
% 12.61/13.07 [pos('R.2.2','L')]).
% 12.61/13.07 cnf('0.35.1.0',plain,
% 12.61/13.07 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.35.0.6']),
% 12.61/13.07 [weight('<5,23,9,[0,0,0,12]>')]).
% 12.61/13.07 cnf('0.35.2.0',plain,
% 12.61/13.07 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_33]).
% 12.61/13.07 cnf('0.36.0.0',plain,
% 12.61/13.07 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.27.2.0','0.7.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.36.1.0',plain,
% 12.61/13.07 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.36.0.0']),
% 12.61/13.07 [weight('<5,27,7,[1,0,0,2]>')]).
% 12.61/13.07 cnf('0.36.2.0',plain,
% 12.61/13.07 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_34]).
% 12.61/13.07 cnf('0.39.0.0',plain,
% 12.61/13.07 ( join(b,X1) = join(b,join(X1,a)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.31.2.0','0.12.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.39.1.0',plain,
% 12.61/13.07 ( join(b,X1) = join(b,join(X1,a)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.39.0.0']),
% 12.61/13.07 [weight('<5,31,12,[1,0,0,2]>')]).
% 12.61/13.07 cnf('0.39.2.0',plain,
% 12.61/13.07 ( join(b,join(X1,a)) = join(b,X1) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_37]).
% 12.61/13.07 cnf('0.41.0.0',plain,
% 12.61/13.07 ( meet(meet(a,X1),b) = meet(meet(a,X1),meet(a,X1)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.36.2.0','0.28.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.41.0.1',plain,
% 12.61/13.07 ( meet(a,meet(X1,b)) = meet(meet(a,X1),meet(a,X1)) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.41.0.0','0.8.2.0',theory(equality)]),
% 12.61/13.07 [pos('L','L')]).
% 12.61/13.07 cnf('0.41.0.2',plain,
% 12.61/13.07 ( meet(a,meet(X1,b)) = meet(a,meet(X1,meet(a,X1))) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.41.0.1','0.8.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.41.0.3',plain,
% 12.61/13.07 ( meet(a,meet(X1,b)) = meet(a,meet(X1,a)) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.41.0.2','0.36.2.0',theory(equality)]),
% 12.61/13.07 [pos('R.2','L')]).
% 12.61/13.07 cnf('0.41.0.4',plain,
% 12.61/13.07 ( meet(a,meet(X1,b)) = meet(a,X1) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.41.0.3','0.36.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.41.1.0',plain,
% 12.61/13.07 ( meet(a,meet(X1,b)) = meet(a,X1) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.41.0.4']),
% 12.61/13.07 [weight('<5,36,28,[1,0,0,2]>')]).
% 12.61/13.07 cnf('0.41.2.0',plain,
% 12.61/13.07 ( meet(a,meet(X1,b)) = meet(a,X1) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_39]).
% 12.61/13.07 cnf('0.42.0.0',plain,
% 12.61/13.07 ( meet(a,X1) = meet(a,meet(b,X1)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.41.2.0','0.7.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.42.1.0',plain,
% 12.61/13.07 ( meet(a,X1) = meet(a,meet(b,X1)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.42.0.0']),
% 12.61/13.07 [weight('<5,41,7,[1,0,0,2]>')]).
% 12.61/13.07 cnf('0.42.2.0',plain,
% 12.61/13.07 ( meet(a,meet(b,X1)) = meet(a,X1) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_40]).
% 12.61/13.07 cnf('0.46.0.0',plain,
% 12.61/13.07 ( meet(X1,meet(complement(X1),X2)) = meet(zero,X2) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.8.2.0','0.10.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.1','L')]).
% 12.61/13.07 cnf('0.46.1.0',plain,
% 12.61/13.07 ( meet(X1,meet(complement(X1),X2)) = meet(zero,X2) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.46.0.0']),
% 12.61/13.07 [weight('<6,10,8,[0,0,0,1]>')]).
% 12.61/13.07 cnf('0.46.1.1',plain,
% 12.61/13.07 ( meet(X1,meet(complement(X1),X2)) = zero ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.46.1.0','0.22.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.46.2.0',plain,
% 12.61/13.07 ( meet(X1,meet(complement(X1),X2)) = zero ),
% 12.61/13.07 inference(orient,[status(thm)],['0.46.1.1',theory(equality)]),
% 12.61/13.07 [u,rule_44]).
% 12.61/13.07 cnf('0.47.0.0',plain,
% 12.61/13.07 ( join(X1,join(complement(X1),X2)) = join(one,X2) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.13.2.0','0.14.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.1','L')]).
% 12.61/13.07 cnf('0.47.1.0',plain,
% 12.61/13.07 ( join(X1,join(complement(X1),X2)) = join(one,X2) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.47.0.0']),
% 12.61/13.07 [weight('<6,14,13,[0,0,0,1]>')]).
% 12.61/13.07 cnf('0.47.1.1',plain,
% 12.61/13.07 ( join(X1,join(complement(X1),X2)) = one ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.47.1.0','0.23.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.47.2.0',plain,
% 12.61/13.07 ( join(X1,join(complement(X1),X2)) = one ),
% 12.61/13.07 inference(orient,[status(thm)],['0.47.1.1',theory(equality)]),
% 12.61/13.07 [u,rule_45]).
% 12.61/13.07 cnf('0.52.0.0',plain,
% 12.61/13.07 ( zero = meet(X1,meet(X2,complement(X1))) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.46.2.0','0.7.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.52.1.0',plain,
% 12.61/13.07 ( zero = meet(X1,meet(X2,complement(X1))) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.52.0.0']),
% 12.61/13.07 [weight('<6,46,7,[1,0,0,2]>')]).
% 12.61/13.07 cnf('0.52.2.0',plain,
% 12.61/13.07 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 12.61/13.07 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_50]).
% 12.61/13.07 cnf('0.55.0.0',plain,
% 12.61/13.07 ( join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),one) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.35.2.0','0.47.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.55.0.1',plain,
% 12.61/13.07 ( join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),one) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.55.0.0','0.13.2.0',theory(equality)]),
% 12.61/13.07 [pos('L','L')]).
% 12.61/13.07 cnf('0.55.0.2',plain,
% 12.61/13.07 ( join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,one)) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.55.0.1','0.13.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.55.0.3',plain,
% 12.61/13.07 ( join(complement(X1),join(X2,X1)) = join(complement(X1),one) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.55.0.2','0.25.2.0',theory(equality)]),
% 12.61/13.07 [pos('R.2','L')]).
% 12.61/13.07 cnf('0.55.0.4',plain,
% 12.61/13.07 ( join(complement(X1),join(X2,X1)) = one ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.55.0.3','0.25.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.55.1.0',plain,
% 12.61/13.07 ( join(complement(X1),join(X2,X1)) = one ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.55.0.4']),
% 12.61/13.07 [weight('<6,47,35,[0,0,0,2]>')]).
% 12.61/13.07 cnf('0.55.2.0',plain,
% 12.61/13.07 ( join(complement(X1),join(X2,X1)) = one ),
% 12.61/13.07 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_53]).
% 12.61/13.07 cnf('0.66.0.0',plain,
% 12.61/13.07 ( one = join(complement(X1),join(X1,X2)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.55.2.0','0.12.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.66.1.0',plain,
% 12.61/13.07 ( one = join(complement(X1),join(X1,X2)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.66.0.0']),
% 12.61/13.07 [weight('<6,55,12,[1,0,0,3]>')]).
% 12.61/13.07 cnf('0.66.2.0',plain,
% 12.61/13.07 ( join(complement(X1),join(X1,X2)) = one ),
% 12.61/13.07 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_64]).
% 12.61/13.07 cnf('0.72.0.0',plain,
% 12.61/13.07 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.1','L')]).
% 12.61/13.07 cnf('0.72.1.0',plain,
% 12.61/13.07 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.72.0.0']),
% 12.61/13.07 [weight('<7,8,2,[1,0,0,1]>')]).
% 12.61/13.07 cnf('0.72.2.0',plain,
% 12.61/13.07 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_70]).
% 12.61/13.07 cnf('0.73.0.0',plain,
% 12.61/13.07 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.13.2.0','0.4.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.1','L')]).
% 12.61/13.07 cnf('0.73.1.0',plain,
% 12.61/13.07 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.73.0.0']),
% 12.61/13.07 [weight('<7,13,4,[1,0,0,1]>')]).
% 12.61/13.07 cnf('0.73.2.0',plain,
% 12.61/13.07 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_71]).
% 12.61/13.07 cnf('0.74.0.0',plain,
% 12.61/13.07 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.26.2.0','0.8.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.74.1.0',plain,
% 12.61/13.07 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.74.0.0']),
% 12.61/13.07 [weight('<7,26,8,[1,0,0,2]>')]).
% 12.61/13.07 cnf('0.74.2.0',plain,
% 12.61/13.07 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 12.61/13.07 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_72]).
% 12.61/13.07 cnf('0.75.0.0',plain,
% 12.61/13.07 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.13.2.0','0.26.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.1','L')]).
% 12.61/13.07 cnf('0.75.1.0',plain,
% 12.61/13.07 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.75.0.0']),
% 12.61/13.07 [weight('<7,26,13,[0,0,0,1]>')]).
% 12.61/13.07 cnf('0.75.2.0',plain,
% 12.61/13.07 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_73]).
% 12.61/13.07 cnf('0.77.0.0',plain,
% 12.61/13.07 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.29.2.0','0.13.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.77.1.0',plain,
% 12.61/13.07 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.77.0.0']),
% 12.61/13.07 [weight('<7,29,13,[1,0,0,2]>')]).
% 12.61/13.07 cnf('0.77.2.0',plain,
% 12.61/13.07 ( meet(X1,join(X2,join(X3,X1))) = X1 ),
% 12.61/13.07 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_75]).
% 12.61/13.07 cnf('0.97.0.0',plain,
% 12.61/13.07 ( meet(X1,b) = join(meet(X1,b),meet(a,X1)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.26.2.0','0.41.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.97.1.0',plain,
% 12.61/13.07 ( meet(X1,b) = join(meet(X1,b),meet(a,X1)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.97.0.0']),
% 12.61/13.07 [weight('<7,41,26,[0,0,0,2]>')]).
% 12.61/13.07 cnf('0.97.2.0',plain,
% 12.61/13.07 ( join(meet(X1,b),meet(a,X1)) = meet(X1,b) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_95]).
% 12.61/13.07 cnf('0.98.0.0',plain,
% 12.61/13.07 ( meet(b,X1) = join(meet(b,X1),meet(a,X1)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.26.2.0','0.42.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.98.1.0',plain,
% 12.61/13.07 ( meet(b,X1) = join(meet(b,X1),meet(a,X1)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.98.0.0']),
% 12.61/13.07 [weight('<7,42,26,[0,0,0,2]>')]).
% 12.61/13.07 cnf('0.98.2.0',plain,
% 12.61/13.07 ( join(meet(b,X1),meet(a,X1)) = meet(b,X1) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_96]).
% 12.61/13.07 cnf('0.103.0.0',plain,
% 12.61/13.07 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.72.2.0','0.7.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.103.1.0',plain,
% 12.61/13.07 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.103.0.0']),
% 12.61/13.07 [weight('<7,72,7,[1,0,0,2]>')]).
% 12.61/13.07 cnf('0.103.2.0',plain,
% 12.61/13.07 ( meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_101]).
% 12.61/13.07 cnf('0.105.0.0',plain,
% 12.61/13.07 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.73.2.0','0.12.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.105.1.0',plain,
% 12.61/13.07 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.105.0.0']),
% 12.61/13.07 [weight('<7,73,12,[1,0,0,2]>')]).
% 12.61/13.07 cnf('0.105.2.0',plain,
% 12.61/13.07 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_103]).
% 12.61/13.07 cnf('0.107.0.0',plain,
% 12.61/13.07 ( join(X1,X2) = join(join(X1,X2),meet(X3,X1)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.74.2.0','0.2.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2.2','L')]).
% 12.61/13.07 cnf('0.107.0.1',plain,
% 12.61/13.07 ( join(X1,X2) = join(X1,join(X2,meet(X3,X1))) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.107.0.0','0.13.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.107.1.0',plain,
% 12.61/13.07 ( join(X1,X2) = join(X1,join(X2,meet(X3,X1))) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.107.0.1']),
% 12.61/13.07 [weight('<7,74,2,[1,0,0,4]>')]).
% 12.61/13.07 cnf('0.107.2.0',plain,
% 12.61/13.07 ( join(X1,join(X2,meet(X3,X1))) = join(X1,X2) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_105]).
% 12.61/13.07 cnf('0.123.0.0',plain,
% 12.61/13.07 ( meet(join(X1,a),b) = join(meet(join(X1,a),b),a) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.97.2.0','0.29.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.123.1.0',plain,
% 12.61/13.07 ( meet(join(X1,a),b) = join(meet(join(X1,a),b),a) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.123.0.0']),
% 12.61/13.07 [weight('<7,97,29,[1,0,0,4]>')]).
% 12.61/13.07 cnf('0.123.1.1',plain,
% 12.61/13.07 ( meet(b,join(X1,a)) = join(meet(join(X1,a),b),a) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.123.1.0','0.7.2.0',theory(equality)]),
% 12.61/13.07 [pos('L','L')]).
% 12.61/13.07 cnf('0.123.1.2',plain,
% 12.61/13.07 ( meet(b,join(X1,a)) = join(a,meet(join(X1,a),b)) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.123.1.1','0.12.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.123.1.3',plain,
% 12.61/13.07 ( meet(b,join(X1,a)) = join(a,meet(b,join(X1,a))) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.123.1.2','0.7.2.0',theory(equality)]),
% 12.61/13.07 [pos('R.2','L')]).
% 12.61/13.07 cnf('0.123.2.0',plain,
% 12.61/13.07 ( join(a,meet(b,join(X1,a))) = meet(b,join(X1,a)) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.123.1.3',theory(equality)]),
% 12.61/13.07 [x,rule_121]).
% 12.61/13.07 cnf('0.207.0.0',plain,
% 12.61/13.07 ( one = join(complement(a),meet(b,join(X1,a))) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.66.2.0','0.123.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.207.1.0',plain,
% 12.61/13.07 ( one = join(complement(a),meet(b,join(X1,a))) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.207.0.0']),
% 12.61/13.07 [weight('<8,123,66,[0,0,0,3]>')]).
% 12.61/13.07 cnf('0.207.2.0',plain,
% 12.61/13.07 ( join(complement(a),meet(b,join(X1,a))) = one ),
% 12.61/13.07 inference(orient,[status(thm)],['0.207.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_205]).
% 12.61/13.07 cnf('0.226.0.0',plain,
% 12.61/13.07 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.26.2.0','0.72.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.226.1.0',plain,
% 12.61/13.07 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.226.0.0']),
% 12.61/13.07 [weight('<9,72,26,[0,0,0,2]>')]).
% 12.61/13.07 cnf('0.226.1.1',plain,
% 12.61/13.07 ( meet(join(X1,X2),X3) = join(meet(X1,X3),meet(join(X1,X2),X3)) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.226.1.0','0.12.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.226.2.0',plain,
% 12.61/13.07 ( join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(join(X1,X3),X2) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.226.1.1',theory(equality)]),
% 12.61/13.07 [x,rule_224]).
% 12.61/13.07 cnf('0.227.0.0',plain,
% 12.61/13.07 ( meet(join(X1,X2),meet(X1,X3)) = join(meet(X1,X3),meet(join(X1,X2),meet(X1,X3))) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.226.2.0','0.27.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.1','L')]).
% 12.61/13.07 cnf('0.227.0.1',plain,
% 12.61/13.07 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.227.0.0','0.26.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.227.1.0',plain,
% 12.61/13.07 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.227.0.1']),
% 12.61/13.07 [weight('<7,226,27,[1,0,0,1]>')]).
% 12.61/13.07 cnf('0.227.2.0',plain,
% 12.61/13.07 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.227.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_225]).
% 12.61/13.07 cnf('0.230.0.0',plain,
% 12.61/13.07 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.227.2.0','0.12.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.1','L')]).
% 12.61/13.07 cnf('0.230.1.0',plain,
% 12.61/13.07 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.230.0.0']),
% 12.61/13.07 [weight('<7,227,12,[1,0,0,1]>')]).
% 12.61/13.07 cnf('0.230.2.0',plain,
% 12.61/13.07 ( meet(join(X1,X2),meet(X2,X3)) = meet(X2,X3) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.230.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_228]).
% 12.61/13.07 cnf('0.235.0.0',plain,
% 12.61/13.07 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.29.2.0','0.73.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.235.1.0',plain,
% 12.61/13.07 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.235.0.0']),
% 12.61/13.07 [weight('<9,73,29,[0,0,0,2]>')]).
% 12.61/13.07 cnf('0.235.1.1',plain,
% 12.61/13.07 ( join(meet(X1,X2),X3) = meet(join(X1,X3),join(meet(X1,X2),X3)) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.235.1.0','0.7.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.235.2.0',plain,
% 12.61/13.07 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.235.1.1',theory(equality)]),
% 12.61/13.07 [x,rule_233]).
% 12.61/13.07 cnf('0.236.0.0',plain,
% 12.61/13.07 ( join(meet(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(meet(X1,X2),join(X1,X3))) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.235.2.0','0.30.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.1','L')]).
% 12.61/13.07 cnf('0.236.0.1',plain,
% 12.61/13.07 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.236.0.0','0.29.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.236.1.0',plain,
% 12.61/13.07 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.236.0.1']),
% 12.61/13.07 [weight('<7,235,30,[1,0,0,1]>')]).
% 12.61/13.07 cnf('0.236.2.0',plain,
% 12.61/13.07 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.236.1.0',theory(equality)]),
% 12.61/13.07 [u,rule_234]).
% 12.61/13.07 cnf('0.239.0.0',plain,
% 12.61/13.07 ( join(X1,X2) = join(meet(X1,X3),join(X2,X1)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.236.2.0','0.12.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.239.1.0',plain,
% 12.61/13.07 ( join(X1,X2) = join(meet(X1,X3),join(X2,X1)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.239.0.0']),
% 12.61/13.07 [weight('<7,236,12,[1,0,0,4]>')]).
% 12.61/13.07 cnf('0.239.2.0',plain,
% 12.61/13.07 ( join(meet(X1,X2),join(X3,X1)) = join(X1,X3) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.239.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_237]).
% 12.61/13.07 cnf('0.250.0.0',plain,
% 12.61/13.07 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.29.2.0','0.75.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.250.1.0',plain,
% 12.61/13.07 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.250.0.0']),
% 12.61/13.07 [weight('<9,75,29,[0,0,0,2]>')]).
% 12.61/13.07 cnf('0.250.1.1',plain,
% 12.61/13.07 ( join(meet(X1,X2),X3) = meet(join(X2,X3),join(meet(X1,X2),X3)) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.250.1.0','0.7.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.250.2.0',plain,
% 12.61/13.07 ( meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.250.1.1',theory(equality)]),
% 12.61/13.07 [x,rule_248]).
% 12.61/13.07 cnf('0.316.0.0',plain,
% 12.61/13.07 ( meet(a,X1) = meet(meet(a,X1),join(X2,meet(b,X1))) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.77.2.0','0.98.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2.2','L')]).
% 12.61/13.07 cnf('0.316.0.1',plain,
% 12.61/13.07 ( meet(a,X1) = meet(a,meet(X1,join(X2,meet(b,X1)))) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.316.0.0','0.8.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.316.1.0',plain,
% 12.61/13.07 ( meet(a,X1) = meet(a,meet(X1,join(X2,meet(b,X1)))) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.316.0.1']),
% 12.61/13.07 [weight('<9,98,77,[0,0,0,4]>')]).
% 12.61/13.07 cnf('0.316.2.0',plain,
% 12.61/13.07 ( meet(a,meet(X1,join(X2,meet(b,X1)))) = meet(a,X1) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.316.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_314]).
% 12.61/13.07 cnf('0.441.0.0',plain,
% 12.61/13.07 ( join(join(X1,X2),X3) = join(meet(X2,X4),join(join(X1,X2),X3)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.236.2.0','0.230.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.1','L')]).
% 12.61/13.07 cnf('0.441.0.1',plain,
% 12.61/13.07 ( join(X1,join(X2,X3)) = join(meet(X2,X4),join(join(X1,X2),X3)) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.441.0.0','0.13.2.0',theory(equality)]),
% 12.61/13.07 [pos('L','L')]).
% 12.61/13.07 cnf('0.441.0.2',plain,
% 12.61/13.07 ( join(X1,join(X2,X3)) = join(meet(X2,X4),join(X1,join(X2,X3))) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.441.0.1','0.13.2.0',theory(equality)]),
% 12.61/13.07 [pos('R.2','L')]).
% 12.61/13.07 cnf('0.441.1.0',plain,
% 12.61/13.07 ( join(X1,join(X2,X3)) = join(meet(X2,X4),join(X1,join(X2,X3))) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.441.0.2']),
% 12.61/13.07 [weight('<9,236,230,[1,0,0,1]>')]).
% 12.61/13.07 cnf('0.441.2.0',plain,
% 12.61/13.07 ( join(meet(X1,X2),join(X3,join(X1,X4))) = join(X3,join(X1,X4)) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.441.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_439]).
% 12.61/13.07 cnf('0.445.0.0',plain,
% 12.61/13.07 ( join(join(X1,X2),X3) = join(meet(X1,X4),join(X3,join(X1,X2))) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.239.2.0','0.227.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.1','L')]).
% 12.61/13.07 cnf('0.445.0.1',plain,
% 12.61/13.07 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X3,join(X1,X2))) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.445.0.0','0.13.2.0',theory(equality)]),
% 12.61/13.07 [pos('L','L')]).
% 12.61/13.07 cnf('0.445.1.0',plain,
% 12.61/13.07 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X3,join(X1,X2))) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.445.0.1']),
% 12.61/13.07 [weight('<9,239,227,[1,0,0,1]>')]).
% 12.61/13.07 cnf('0.445.1.1',plain,
% 12.61/13.07 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.445.1.0','0.441.2.0',theory(equality)]),
% 12.61/13.07 [pos('R','L')]).
% 12.61/13.07 cnf('0.445.2.0',plain,
% 12.61/13.07 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 12.61/13.07 inference(activate,[status(thm)],['0.445.1.1']),
% 12.61/13.07 [equation_4]).
% 12.61/13.07 cnf('0.453.0.0',plain,
% 12.61/13.07 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.250.2.0','0.26.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.1','L')]).
% 12.61/13.07 cnf('0.453.1.0',plain,
% 12.61/13.07 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.453.0.0']),
% 12.61/13.07 [weight('<9,250,26,[1,0,0,1]>')]).
% 12.61/13.07 cnf('0.453.2.0',plain,
% 12.61/13.07 ( meet(X1,join(meet(X2,X1),meet(X3,X1))) = join(meet(X2,X1),meet(X3,X1)) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.453.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_449]).
% 12.61/13.07 cnf('0.555.0.0',plain,
% 12.61/13.07 ( join(join(X1,meet(X2,X3)),join(X4,X2)) = join(X4,join(X2,X1)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.445.2.0','0.105.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.555.0.1',plain,
% 12.61/13.07 ( join(X1,join(meet(X2,X3),join(X4,X2))) = join(X4,join(X2,X1)) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.555.0.0','0.13.2.0',theory(equality)]),
% 12.61/13.07 [pos('L','L')]).
% 12.61/13.07 cnf('0.555.1.0',plain,
% 12.61/13.07 ( join(X1,join(meet(X2,X3),join(X4,X2))) = join(X4,join(X2,X1)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.555.0.1']),
% 12.61/13.07 [weight('<9,445,105,[1,0,0,2]>')]).
% 12.61/13.07 cnf('0.555.1.1',plain,
% 12.61/13.07 ( join(X1,join(X2,join(meet(X2,X3),X4))) = join(X4,join(X2,X1)) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.555.1.0','0.445.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.555.1.2',plain,
% 12.61/13.07 ( join(X1,join(X2,X4)) = join(X4,join(X2,X1)) ),
% 12.61/13.07 inference(reduction,[status(thm)],['0.555.1.1','0.73.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.555.2.0',plain,
% 12.61/13.07 ( join(X1,join(X2,X3)) = join(X3,join(X2,X1)) ),
% 12.61/13.07 inference(activate,[status(thm)],['0.555.1.2']),
% 12.61/13.07 [equation_6]).
% 12.61/13.07 cnf('0.558.0.0',plain,
% 12.61/13.07 ( meet(a,X1) = meet(a,join(meet(X2,X1),meet(b,X1))) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.316.2.0','0.453.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2','L')]).
% 12.61/13.07 cnf('0.558.1.0',plain,
% 12.61/13.07 ( meet(a,X1) = meet(a,join(meet(X2,X1),meet(b,X1))) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.558.0.0']),
% 12.61/13.07 [weight('<9,453,316,[0,0,0,2]>')]).
% 12.61/13.07 cnf('0.558.2.0',plain,
% 12.61/13.07 ( meet(a,join(meet(X1,X2),meet(b,X2))) = meet(a,X2) ),
% 12.61/13.07 inference(orient,[status(thm)],['0.558.1.0',theory(equality)]),
% 12.61/13.07 [x,rule_552]).
% 12.61/13.07 cnf('0.1035.0.0',plain,
% 12.61/13.07 ( join(meet(X1,join(X2,X3)),X4) = join(meet(X1,join(X2,X3)),join(meet(X2,X1),X4)) ),
% 12.61/13.07 inference(cp,[status(thm)],['0.75.2.0','0.103.2.0',theory(equality)]),
% 12.61/13.07 [pos('L.2.1','L')]).
% 12.61/13.07 cnf('0.1035.1.0',plain,
% 12.61/13.07 ( join(meet(X1,join(X2,X3)),X4) = join(meet(X1,join(X2,X3)),join(meet(X2,X1),X4)) ),
% 12.61/13.07 inference(weigh,[status(thm)],['0.1035.0.0']),
% 12.61/13.07 [weight('<11,103,75,[0,0,0,3]>')]).
% 12.61/13.08 cnf('0.1035.1.1',plain,
% 12.61/13.08 ( join(meet(X1,join(X2,X3)),X4) = join(meet(X2,X1),join(X4,meet(X1,join(X2,X3)))) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.1035.1.0','0.445.2.0',theory(equality)]),
% 12.61/13.08 [pos('R','R')]).
% 12.61/13.08 cnf('0.1035.2.0',plain,
% 12.61/13.08 ( join(meet(X1,X2),join(X3,meet(X2,join(X1,X4)))) = join(meet(X2,join(X1,X4)),X3) ),
% 12.61/13.08 inference(orient,[status(thm)],['0.1035.1.1',theory(equality)]),
% 12.61/13.08 [x,rule_1027]).
% 12.61/13.08 cnf('0.1036.0.0',plain,
% 12.61/13.08 ( meet(X1,join(meet(X1,X2),join(meet(X1,X3),meet(X2,join(X1,X3))))) = join(meet(X1,X2),meet(X1,X3)) ),
% 12.61/13.08 inference(interreduction_right,[status(thm)],['0.9.2.0'])).
% 12.61/13.08 cnf('0.1036.0.1',plain,
% 12.61/13.08 ( meet(X1,join(meet(X2,join(X1,X3)),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.1036.0.0','0.1035.2.0',theory(equality)]),
% 12.61/13.08 [pos('L.2','L')]).
% 12.61/13.08 cnf('0.1036.1.0',plain,
% 12.61/13.08 ( meet(X1,join(meet(X2,join(X1,X3)),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 12.61/13.08 inference(weigh,[status(thm)],['0.1036.0.1']),
% 12.61/13.08 [weight('<11,9,1035,[0,0,0,0]>')]).
% 12.61/13.08 cnf('0.1036.1.1',plain,
% 12.61/13.08 ( meet(X1,join(meet(X1,X3),meet(X2,join(X1,X3)))) = join(meet(X1,X2),meet(X1,X3)) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.1036.1.0','0.12.2.0',theory(equality)]),
% 12.61/13.08 [pos('L.2','L')]).
% 12.61/13.08 cnf('0.1036.2.0',plain,
% 12.61/13.08 ( meet(X1,join(meet(X1,X2),meet(X3,join(X1,X2)))) = join(meet(X1,X3),meet(X1,X2)) ),
% 12.61/13.08 inference(orient,[status(thm)],['0.1036.1.1',theory(equality)]),
% 12.61/13.08 [u,rule_1028]).
% 12.61/13.08 cnf('0.1037.0.0',plain,
% 12.61/13.08 ( join(meet(b,X1),meet(b,complement(a))) = meet(b,join(meet(b,complement(a)),meet(X1,one))) ),
% 12.61/13.08 inference(cp,[status(thm)],['0.1036.2.0','0.32.2.0',theory(equality)]),
% 12.61/13.08 [pos('L.2.2.2','L')]).
% 12.61/13.08 cnf('0.1037.0.1',plain,
% 12.61/13.08 ( join(meet(b,X1),meet(b,complement(a))) = meet(b,join(meet(b,complement(a)),X1)) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.1037.0.0','0.17.2.0',theory(equality)]),
% 12.61/13.08 [pos('R.2.2','L')]).
% 12.61/13.08 cnf('0.1037.1.0',plain,
% 12.61/13.08 ( join(meet(b,X1),meet(b,complement(a))) = meet(b,join(meet(b,complement(a)),X1)) ),
% 12.61/13.08 inference(weigh,[status(thm)],['0.1037.0.1']),
% 12.61/13.08 [weight('<8,1036,32,[1,0,0,8]>')]).
% 12.61/13.08 cnf('0.1037.2.0',plain,
% 12.61/13.08 ( meet(b,join(meet(b,complement(a)),X1)) = join(meet(b,X1),meet(b,complement(a))) ),
% 12.61/13.08 inference(orient,[status(thm)],['0.1037.1.0',theory(equality)]),
% 12.61/13.08 [x,rule_1029]).
% 12.61/13.08 cnf('0.1039.0.0',plain,
% 12.61/13.08 ( join(meet(X1,X2),meet(X1,join(complement(X1),X3))) = meet(X1,join(meet(X1,join(complement(X1),X3)),meet(X2,one))) ),
% 12.61/13.08 inference(cp,[status(thm)],['0.1036.2.0','0.47.2.0',theory(equality)]),
% 12.61/13.08 [pos('L.2.2.2','L')]).
% 12.61/13.08 cnf('0.1039.0.1',plain,
% 12.61/13.08 ( join(meet(X1,X2),meet(X1,join(complement(X1),X3))) = meet(X1,join(meet(X1,join(complement(X1),X3)),X2)) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.1039.0.0','0.17.2.0',theory(equality)]),
% 12.61/13.08 [pos('R.2.2','L')]).
% 12.61/13.08 cnf('0.1039.1.0',plain,
% 12.61/13.08 ( join(meet(X1,X2),meet(X1,join(complement(X1),X3))) = meet(X1,join(meet(X1,join(complement(X1),X3)),X2)) ),
% 12.61/13.08 inference(weigh,[status(thm)],['0.1039.0.1']),
% 12.61/13.08 [weight('<10,1036,47,[1,0,0,8]>')]).
% 12.61/13.08 cnf('0.1039.2.0',plain,
% 12.61/13.08 ( meet(X1,join(meet(X1,join(complement(X1),X2)),X3)) = join(meet(X1,X3),meet(X1,join(complement(X1),X2))) ),
% 12.61/13.08 inference(orient,[status(thm)],['0.1039.1.0',theory(equality)]),
% 12.61/13.08 [x,rule_1031]).
% 12.61/13.08 cnf('0.1050.0.0',plain,
% 12.61/13.08 ( meet(a,join(meet(b,complement(a)),X1)) = meet(a,join(join(meet(b,X1),meet(b,complement(a))),meet(b,join(meet(b,complement(a)),X1)))) ),
% 12.61/13.08 inference(cp,[status(thm)],['0.558.2.0','0.1037.2.0',theory(equality)]),
% 12.61/13.08 [pos('L.2.1','L')]).
% 12.61/13.08 cnf('0.1050.0.1',plain,
% 12.61/13.08 ( meet(a,join(meet(b,complement(a)),X1)) = meet(a,join(meet(b,X1),join(meet(b,complement(a)),meet(b,join(meet(b,complement(a)),X1))))) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.1050.0.0','0.13.2.0',theory(equality)]),
% 12.61/13.08 [pos('R.2','L')]).
% 12.61/13.08 cnf('0.1050.0.2',plain,
% 12.61/13.08 ( meet(a,join(meet(b,complement(a)),X1)) = meet(a,join(meet(b,X1),join(meet(b,complement(a)),join(meet(b,X1),meet(b,complement(a)))))) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.1050.0.1','0.1037.2.0',theory(equality)]),
% 12.61/13.08 [pos('R.2.2.2','L')]).
% 12.61/13.08 cnf('0.1050.0.3',plain,
% 12.61/13.08 ( meet(a,join(meet(b,complement(a)),X1)) = meet(a,join(meet(b,X1),join(meet(b,complement(a)),meet(b,X1)))) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.1050.0.2','0.35.2.0',theory(equality)]),
% 12.61/13.08 [pos('R.2.2','L')]).
% 12.61/13.08 cnf('0.1050.0.4',plain,
% 12.61/13.08 ( meet(a,join(meet(b,complement(a)),X1)) = meet(a,join(meet(b,X1),meet(b,complement(a)))) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.1050.0.3','0.35.2.0',theory(equality)]),
% 12.61/13.08 [pos('R.2','L')]).
% 12.61/13.08 cnf('0.1050.1.0',plain,
% 12.61/13.08 ( meet(a,join(meet(b,complement(a)),X1)) = meet(a,join(meet(b,X1),meet(b,complement(a)))) ),
% 12.61/13.08 inference(weigh,[status(thm)],['0.1050.0.4']),
% 12.61/13.08 [weight('<10,1037,558,[0,0,0,3]>')]).
% 12.61/13.08 cnf('0.1050.2.0',plain,
% 12.61/13.08 ( meet(a,join(meet(b,X1),meet(b,complement(a)))) = meet(a,join(meet(b,complement(a)),X1)) ),
% 12.61/13.08 inference(orient,[status(thm)],['0.1050.1.0',theory(equality)]),
% 12.61/13.08 [x,rule_1042]).
% 12.61/13.08 cnf('0.1051.0.0',plain,
% 12.61/13.08 ( meet(a,join(meet(b,complement(a)),complement(b))) = meet(a,join(zero,meet(b,complement(a)))) ),
% 12.61/13.08 inference(cp,[status(thm)],['0.1050.2.0','0.10.2.0',theory(equality)]),
% 12.61/13.08 [pos('L.2.1','L')]).
% 12.61/13.08 cnf('0.1051.0.1',plain,
% 12.61/13.08 ( meet(a,join(meet(b,complement(a)),complement(b))) = meet(a,meet(b,complement(a))) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.1051.0.0','0.18.2.0',theory(equality)]),
% 12.61/13.08 [pos('R.2','L')]).
% 12.61/13.08 cnf('0.1051.0.2',plain,
% 12.61/13.08 ( meet(a,join(meet(b,complement(a)),complement(b))) = zero ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.1051.0.1','0.52.2.0',theory(equality)]),
% 12.61/13.08 [pos('R','L')]).
% 12.61/13.08 cnf('0.1051.1.0',plain,
% 12.61/13.08 ( meet(a,join(meet(b,complement(a)),complement(b))) = zero ),
% 12.61/13.08 inference(weigh,[status(thm)],['0.1051.0.2']),
% 12.61/13.08 [weight('<9,1050,10,[1,0,0,3]>')]).
% 12.61/13.08 cnf('0.1051.1.1',plain,
% 12.61/13.08 ( meet(a,join(complement(b),meet(b,complement(a)))) = zero ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.1051.1.0','0.12.2.0',theory(equality)]),
% 12.61/13.08 [pos('L.2','L')]).
% 12.61/13.08 cnf('0.1051.2.0',plain,
% 12.61/13.08 ( meet(a,join(complement(b),meet(b,complement(a)))) = zero ),
% 12.61/13.08 inference(orient,[status(thm)],['0.1051.1.1',theory(equality)]),
% 12.61/13.08 [u,rule_1043]).
% 12.61/13.08 cnf('0.1053.0.0',plain,
% 12.61/13.08 ( join(meet(X1,X2),meet(X1,join(complement(X1),X3))) = meet(X1,join(X2,meet(X1,join(complement(X1),X3)))) ),
% 12.61/13.08 inference(cp,[status(thm)],['0.1039.2.0','0.12.2.0',theory(equality)]),
% 12.61/13.08 [pos('L.2','L')]).
% 12.61/13.08 cnf('0.1053.1.0',plain,
% 12.61/13.08 ( join(meet(X1,X2),meet(X1,join(complement(X1),X3))) = meet(X1,join(X2,meet(X1,join(complement(X1),X3)))) ),
% 12.61/13.08 inference(weigh,[status(thm)],['0.1053.0.0']),
% 12.61/13.08 [weight('<10,1039,12,[1,0,0,2]>')]).
% 12.61/13.08 cnf('0.1053.2.0',plain,
% 12.61/13.08 ( meet(X1,join(X2,meet(X1,join(complement(X1),X3)))) = join(meet(X1,X2),meet(X1,join(complement(X1),X3))) ),
% 12.61/13.08 inference(orient,[status(thm)],['0.1053.1.0',theory(equality)]),
% 12.61/13.08 [x,rule_1045]).
% 12.61/13.08 cnf('0.2872.0.0',plain,
% 12.61/13.08 ( join(meet(b,complement(a)),meet(b,join(complement(b),a))) = meet(b,one) ),
% 12.61/13.08 inference(cp,[status(thm)],['0.1053.2.0','0.207.2.0',theory(equality)]),
% 12.61/13.08 [pos('L.2','L')]).
% 12.61/13.08 cnf('0.2872.0.1',plain,
% 12.61/13.08 ( join(meet(b,complement(a)),meet(b,join(complement(b),a))) = b ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.2872.0.0','0.17.2.0',theory(equality)]),
% 12.61/13.08 [pos('R','L')]).
% 12.61/13.08 cnf('0.2872.1.0',plain,
% 12.61/13.08 ( join(meet(b,complement(a)),meet(b,join(complement(b),a))) = b ),
% 12.61/13.08 inference(weigh,[status(thm)],['0.2872.0.1']),
% 12.61/13.08 [weight('<11,1053,207,[1,0,0,2]>')]).
% 12.61/13.08 cnf('0.2872.1.1',plain,
% 12.61/13.08 ( join(meet(b,complement(a)),meet(b,join(a,complement(b)))) = b ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.2872.1.0','0.12.2.0',theory(equality)]),
% 12.61/13.08 [pos('L.2.2','L')]).
% 12.61/13.08 cnf('0.2872.2.0',plain,
% 12.61/13.08 ( join(meet(b,complement(a)),meet(b,join(a,complement(b)))) = b ),
% 12.61/13.08 inference(orient,[status(thm)],['0.2872.1.1',theory(equality)]),
% 12.61/13.08 [u,rule_2851]).
% 12.61/13.08 cnf('0.2873.0.0',plain,
% 12.61/13.08 ( join(join(a,complement(b)),meet(b,complement(a))) = join(join(a,complement(b)),b) ),
% 12.61/13.08 inference(cp,[status(thm)],['0.107.2.0','0.2872.2.0',theory(equality)]),
% 12.61/13.08 [pos('L.2','L')]).
% 12.61/13.08 cnf('0.2873.0.1',plain,
% 12.61/13.08 ( join(a,join(complement(b),meet(b,complement(a)))) = join(join(a,complement(b)),b) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.2873.0.0','0.13.2.0',theory(equality)]),
% 12.61/13.08 [pos('L','L')]).
% 12.61/13.08 cnf('0.2873.0.2',plain,
% 12.61/13.08 ( join(a,join(complement(b),meet(b,complement(a)))) = join(a,join(complement(b),b)) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.2873.0.1','0.13.2.0',theory(equality)]),
% 12.61/13.08 [pos('R','L')]).
% 12.61/13.08 cnf('0.2873.1.0',plain,
% 12.61/13.08 ( join(a,join(complement(b),meet(b,complement(a)))) = join(a,join(complement(b),b)) ),
% 12.61/13.08 inference(weigh,[status(thm)],['0.2873.0.2']),
% 12.61/13.08 [weight('<9,2872,107,[0,0,0,2]>')]).
% 12.61/13.08 cnf('0.2873.1.1',plain,
% 12.61/13.08 ( join(a,join(complement(b),meet(b,complement(a)))) = join(b,join(complement(b),a)) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.2873.1.0','0.555.2.0',theory(equality)]),
% 12.61/13.08 [pos('R','L')]).
% 12.61/13.08 cnf('0.2873.1.2',plain,
% 12.61/13.08 ( join(a,join(complement(b),meet(b,complement(a)))) = join(b,complement(b)) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.2873.1.1','0.39.2.0',theory(equality)]),
% 12.61/13.08 [pos('R','L')]).
% 12.61/13.08 cnf('0.2873.1.3',plain,
% 12.61/13.08 ( join(a,join(complement(b),meet(b,complement(a)))) = one ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.2873.1.2','0.14.2.0',theory(equality)]),
% 12.61/13.08 [pos('R','L')]).
% 12.61/13.08 cnf('0.2873.2.0',plain,
% 12.61/13.08 ( join(a,join(complement(b),meet(b,complement(a)))) = one ),
% 12.61/13.08 inference(orient,[status(thm)],['0.2873.1.3',theory(equality)]),
% 12.61/13.08 [u,rule_2852]).
% 12.61/13.08 cnf('0.2874.0.0',plain,
% 12.61/13.08 ( join(complement(b),meet(b,complement(a))) = ifeq(one,one,ifeq(meet(a,join(complement(b),meet(b,complement(a)))),zero,complement(a),join(complement(b),meet(b,complement(a)))),join(complement(b),meet(b,complement(a)))) ),
% 12.61/13.08 inference(cp,[status(thm)],['0.6.2.0','0.2873.2.0',theory(equality)]),
% 12.61/13.08 [pos('L.1','L')]).
% 12.61/13.08 cnf('0.2874.0.1',plain,
% 12.61/13.08 ( join(complement(b),meet(b,complement(a))) = ifeq(meet(a,join(complement(b),meet(b,complement(a)))),zero,complement(a),join(complement(b),meet(b,complement(a)))) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.2874.0.0','0.5.2.0',theory(equality)]),
% 12.61/13.08 [pos('R','L')]).
% 12.61/13.08 cnf('0.2874.0.2',plain,
% 12.61/13.08 ( join(complement(b),meet(b,complement(a))) = ifeq(zero,zero,complement(a),join(complement(b),meet(b,complement(a)))) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.2874.0.1','0.1051.2.0',theory(equality)]),
% 12.61/13.08 [pos('R.1','L')]).
% 12.61/13.08 cnf('0.2874.0.3',plain,
% 12.61/13.08 ( join(complement(b),meet(b,complement(a))) = complement(a) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.2874.0.2','0.5.2.0',theory(equality)]),
% 12.61/13.08 [pos('R','L')]).
% 12.61/13.08 cnf('0.2874.1.0',plain,
% 12.61/13.08 ( join(complement(b),meet(b,complement(a))) = complement(a) ),
% 12.61/13.08 inference(weigh,[status(thm)],['0.2874.0.3']),
% 12.61/13.08 [weight('<7,2873,6,[0,0,0,1]>')]).
% 12.61/13.08 cnf('0.2874.2.0',plain,
% 12.61/13.08 ( join(complement(b),meet(b,complement(a))) = complement(a) ),
% 12.61/13.08 inference(orient,[status(thm)],['0.2874.1.0',theory(equality)]),
% 12.61/13.08 [u,rule_2853]).
% 12.61/13.08 cnf('0.2876.0.0',plain,
% 12.61/13.08 ( join(complement(b),meet(b,complement(a))) = join(complement(b),complement(a)) ),
% 12.61/13.08 inference(cp,[status(thm)],['0.30.2.0','0.2874.2.0',theory(equality)]),
% 12.61/13.08 [pos('L.2','L')]).
% 12.61/13.08 cnf('0.2876.0.1',plain,
% 12.61/13.08 ( complement(a) = join(complement(b),complement(a)) ),
% 12.61/13.08 inference(reduction,[status(thm)],['0.2876.0.0','0.2874.2.0',theory(equality)]),
% 12.61/13.08 [pos('L','L')]).
% 12.61/13.08 cnf('0.2876.1.0',plain,
% 12.61/13.08 ( complement(a) = join(complement(b),complement(a)) ),
% 12.61/13.08 inference(weigh,[status(thm)],['0.2876.0.1']),
% 12.61/13.08 [weight('<5,2874,30,[0,0,0,2]>')]).
% 12.61/13.08 cnf('0.2876.2.0',plain,
% 12.61/13.08 ( join(complement(b),complement(a)) = complement(a) ),
% 12.61/13.08 inference(orient,[status(thm)],['0.2876.1.0',theory(equality)]),
% 12.61/13.08 [x,rule_2855]).
% 12.61/13.08 cnf('1.0.0.0',conjecture,
% 12.61/13.08 ( join(complement(b),complement(a)) = complement(a) ),
% 12.61/13.08 file('/tmp/WALDMEISTER_18652_n020',conjecture_1)).
% 12.61/13.08 cnf('1.0.0.1',plain,
% 12.61/13.08 ( complement(a) = complement(a) ),
% 12.61/13.08 inference(reduction,[status(thm)],['1.0.0.0','0.2876.2.0',theory(equality)]),
% 12.61/13.08 [pos('L','L')]).
% 12.61/13.08 cnf('1.0.0.2',plain,
% 12.61/13.08 ( $true ),
% 12.61/13.08 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 12.61/13.08 [conjecture_1]).
% 12.61/13.08
% 12.61/13.08 Proved Goals:
% 12.61/13.08 No. 1: join(complement(b),complement(a)) ?= complement(a) joined, current: complement(a) = complement(a)
% 12.61/13.08 1 goal was specified, which was proved.
% 12.61/13.08 % SZS output end CNFRefutation
% 12.61/13.08 #END OF PROOF
% 12.61/13.08
% 12.61/13.08 Problem WALDMEISTER_18652_n020
% 12.61/13.08 CPs.gen 4210413
% 12.61/13.08 CPs.reexp 0
% 12.61/13.08 Select 326833
% 12.61/13.08 R 2855
% 12.61/13.08 E 21
% 12.61/13.08 vsize 10.5M
% 12.61/13.08 rss 6.1M
% 12.61/13.08 process.time 12.084s
% 12.61/13.08 wallclock.time 12.085s
% 12.61/13.08 status S
% 12.61/13.08
% 12.61/13.08
% 12.61/13.08 Waldmeister states: Goal proved.
% 12.61/13.08 % SZS status Unsatisfiable
%------------------------------------------------------------------------------