TSTP Solution File: LAT044-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT044-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n011.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 07:14:53 EDT 2022
% Result : Unsatisfiable 4.33s 4.74s
% Output : CNFRefutation 4.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT044-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : woody %s
% 0.11/0.33 % Computer : n011.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jun 30 00:03:32 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.65/1.01 ********************************************************************************
% 0.65/1.01 * W A L D M E I S T E R \| \ / \|/ *
% 0.65/1.01 * |/ | \/ | *
% 0.65/1.01 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.65/1.01 * A. Jaeger and B. Loechner | | *
% 0.65/1.01 * <waldmeister@informatik.uni-kl.de> | *
% 0.65/1.01 ********************************************************************************
% 0.65/1.01
% 0.65/1.01
% 0.65/1.01 Goals:
% 0.65/1.01 ------
% 0.65/1.01
% 0.65/1.01 ( 1) join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) ?=? n1
% 0.65/1.01
% 0.65/1.01 Detected structure: Verband
% 0.65/1.01 ********************************************************************************
% 0.65/1.01 ****************************** COMPLETION - PROOF ******************************
% 0.65/1.01 ********************************************************************************
% 0.65/1.01
% 4.33/4.74 joined goal: 1 join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) ?= n1 to n1
% 4.33/4.74 goal joined
% 4.33/4.74 % SZS status Unsatisfiable
% 4.33/4.74 #START OF PROOF
% 4.33/4.74 % SZS output start CNFRefutation
% 4.33/4.74 cnf('0.2.0.0',axiom,
% 4.33/4.74 ( X1 = join(X1,meet(X1,X2)) ),
% 4.33/4.74 file('/tmp/WALDMEISTER_27519_n011')).
% 4.33/4.74 cnf('0.2.1.0',plain,
% 4.33/4.74 ( X1 = join(X1,meet(X1,X2)) ),
% 4.33/4.74 inference(weigh,[status(thm)],['0.2.0.0']),
% 4.33/4.74 [weight('<1,0,0,[0,0,0,2]>')]).
% 4.33/4.74 cnf('0.2.2.0',plain,
% 4.33/4.74 ( join(X1,meet(X1,X2)) = X1 ),
% 4.33/4.74 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 4.33/4.74 [x,rule_2]).
% 4.33/4.74 cnf('0.4.0.0',axiom,
% 4.33/4.74 ( X1 = meet(X1,join(X1,X2)) ),
% 4.33/4.74 file('/tmp/WALDMEISTER_27519_n011')).
% 4.33/4.74 cnf('0.4.1.0',plain,
% 4.33/4.74 ( X1 = meet(X1,join(X1,X2)) ),
% 4.33/4.74 inference(weigh,[status(thm)],['0.4.0.0']),
% 4.33/4.74 [weight('<3,0,0,[0,0,0,4]>')]).
% 4.33/4.74 cnf('0.4.2.0',plain,
% 4.33/4.74 ( meet(X1,join(X1,X2)) = X1 ),
% 4.33/4.74 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 4.33/4.74 [x,rule_4]).
% 4.33/4.74 cnf('0.5.0.0',axiom,
% 4.33/4.74 ( X1 = complement(complement(X1)) ),
% 4.33/4.74 file('/tmp/WALDMEISTER_27519_n011')).
% 4.33/4.74 cnf('0.5.1.0',plain,
% 4.33/4.74 ( X1 = complement(complement(X1)) ),
% 4.33/4.74 inference(weigh,[status(thm)],['0.5.0.0']),
% 4.33/4.74 [weight('<4,0,0,[0,0,0,5]>')]).
% 4.33/4.74 cnf('0.5.2.0',plain,
% 4.33/4.74 ( complement(complement(X1)) = X1 ),
% 4.33/4.74 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 4.33/4.74 [x,rule_5]).
% 4.33/4.74 cnf('0.6.0.0',axiom,
% 4.33/4.74 ( join(X1,X2) = join(X2,X1) ),
% 4.33/4.74 file('/tmp/WALDMEISTER_27519_n011')).
% 4.33/4.74 cnf('0.6.1.0',plain,
% 4.33/4.74 ( join(X1,X2) = join(X2,X1) ),
% 4.33/4.74 inference(weigh,[status(thm)],['0.6.0.0']),
% 4.33/4.74 [weight('<5,0,0,[0,0,0,6]>')]).
% 4.33/4.74 cnf('0.6.2.0',plain,
% 4.33/4.74 ( join(X1,X2) = join(X2,X1) ),
% 4.33/4.74 inference(activate,[status(thm)],['0.6.1.0']),
% 4.33/4.74 [equation_1]).
% 4.33/4.74 cnf('0.7.0.0',axiom,
% 4.33/4.74 ( join(X1,X2) = join(X1,meet(complement(X1),join(X1,X2))) ),
% 4.33/4.74 file('/tmp/WALDMEISTER_27519_n011')).
% 4.33/4.74 cnf('0.7.1.0',plain,
% 4.33/4.74 ( join(X1,X2) = join(X1,meet(complement(X1),join(X1,X2))) ),
% 4.33/4.74 inference(weigh,[status(thm)],['0.7.0.0']),
% 4.33/4.74 [weight('<6,0,0,[0,0,0,7]>')]).
% 4.33/4.74 cnf('0.7.2.0',plain,
% 4.33/4.74 ( join(X1,meet(complement(X1),join(X1,X2))) = join(X1,X2) ),
% 4.33/4.74 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 4.33/4.74 [x,rule_6]).
% 4.33/4.74 cnf('0.8.0.0',axiom,
% 4.33/4.74 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 4.33/4.74 file('/tmp/WALDMEISTER_27519_n011')).
% 4.33/4.74 cnf('0.8.1.0',plain,
% 4.33/4.74 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.8.0.0']),
% 4.33/4.75 [weight('<7,0,0,[0,0,0,8]>')]).
% 4.33/4.75 cnf('0.8.2.0',plain,
% 4.33/4.75 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 4.33/4.75 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 4.33/4.75 [x,rule_7]).
% 4.33/4.75 cnf('0.9.0.0',axiom,
% 4.33/4.75 ( join(complement(X1),X1) = n1 ),
% 4.33/4.75 file('/tmp/WALDMEISTER_27519_n011')).
% 4.33/4.75 cnf('0.9.1.0',plain,
% 4.33/4.75 ( join(complement(X1),X1) = n1 ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.9.0.0']),
% 4.33/4.75 [weight('<8,0,0,[0,0,0,9]>')]).
% 4.33/4.75 cnf('0.9.1.1',plain,
% 4.33/4.75 ( join(X1,complement(X1)) = n1 ),
% 4.33/4.75 inference(reduction,[status(thm)],['0.9.1.0','0.6.2.0',theory(equality)]),
% 4.33/4.75 [pos('L','L')]).
% 4.33/4.75 cnf('0.9.2.0',plain,
% 4.33/4.75 ( join(X1,complement(X1)) = n1 ),
% 4.33/4.75 inference(orient,[status(thm)],['0.9.1.1',theory(equality)]),
% 4.33/4.75 [u,rule_8]).
% 4.33/4.75 cnf('0.10.0.0',axiom,
% 4.33/4.75 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 4.33/4.75 file('/tmp/WALDMEISTER_27519_n011')).
% 4.33/4.75 cnf('0.10.1.0',plain,
% 4.33/4.75 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.10.0.0']),
% 4.33/4.75 [weight('<9,0,0,[0,0,0,10]>')]).
% 4.33/4.75 cnf('0.10.2.0',plain,
% 4.33/4.75 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 4.33/4.75 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 4.33/4.75 [u,rule_9]).
% 4.33/4.75 cnf('0.11.0.0',axiom,
% 4.33/4.75 ( meet(X1,X2) = meet(X2,X1) ),
% 4.33/4.75 file('/tmp/WALDMEISTER_27519_n011')).
% 4.33/4.75 cnf('0.11.1.0',plain,
% 4.33/4.75 ( meet(X1,X2) = meet(X2,X1) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.11.0.0']),
% 4.33/4.75 [weight('<10,0,0,[0,0,0,11]>')]).
% 4.33/4.75 cnf('0.11.2.0',plain,
% 4.33/4.75 ( meet(X1,X2) = meet(X2,X1) ),
% 4.33/4.75 inference(activate,[status(thm)],['0.11.1.0']),
% 4.33/4.75 [equation_2]).
% 4.33/4.75 cnf('0.12.0.0',axiom,
% 4.33/4.75 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 4.33/4.75 file('/tmp/WALDMEISTER_27519_n011')).
% 4.33/4.75 cnf('0.12.1.0',plain,
% 4.33/4.75 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.12.0.0']),
% 4.33/4.75 [weight('<11,0,0,[0,0,0,12]>')]).
% 4.33/4.75 cnf('0.12.2.0',plain,
% 4.33/4.75 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 4.33/4.75 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 4.33/4.75 [x,rule_10]).
% 4.33/4.75 cnf('0.14.0.0',axiom,
% 4.33/4.75 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 4.33/4.75 file('/tmp/WALDMEISTER_27519_n011')).
% 4.33/4.75 cnf('0.14.1.0',plain,
% 4.33/4.75 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.14.0.0']),
% 4.33/4.75 [weight('<13,0,0,[0,0,0,14]>')]).
% 4.33/4.75 cnf('0.14.2.0',plain,
% 4.33/4.75 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 4.33/4.75 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 4.33/4.75 [u,rule_12]).
% 4.33/4.75 cnf('0.17.0.0',plain,
% 4.33/4.75 ( X1 = meet(X1,n1) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.4.2.0','0.9.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2','L')]).
% 4.33/4.75 cnf('0.17.1.0',plain,
% 4.33/4.75 ( X1 = meet(X1,n1) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.17.0.0']),
% 4.33/4.75 [weight('<3,9,4,[0,0,0,2]>')]).
% 4.33/4.75 cnf('0.17.2.0',plain,
% 4.33/4.75 ( meet(X1,n1) = X1 ),
% 4.33/4.75 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 4.33/4.75 [x,rule_15]).
% 4.33/4.75 cnf('0.20.0.0',plain,
% 4.33/4.75 ( X1 = meet(n1,X1) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.17.2.0','0.11.2.0',theory(equality)]),
% 4.33/4.75 [pos('L','L')]).
% 4.33/4.75 cnf('0.20.1.0',plain,
% 4.33/4.75 ( X1 = meet(n1,X1) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.20.0.0']),
% 4.33/4.75 [weight('<3,17,11,[1,0,0,0]>')]).
% 4.33/4.75 cnf('0.20.2.0',plain,
% 4.33/4.75 ( meet(n1,X1) = X1 ),
% 4.33/4.75 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 4.33/4.75 [x,rule_18]).
% 4.33/4.75 cnf('0.22.0.0',plain,
% 4.33/4.75 ( n1 = join(n1,X1) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.2.2.0','0.20.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2','L')]).
% 4.33/4.75 cnf('0.22.1.0',plain,
% 4.33/4.75 ( n1 = join(n1,X1) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.22.0.0']),
% 4.33/4.75 [weight('<3,20,2,[0,0,0,2]>')]).
% 4.33/4.75 cnf('0.22.2.0',plain,
% 4.33/4.75 ( join(n1,X1) = n1 ),
% 4.33/4.75 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 4.33/4.75 [x,rule_20]).
% 4.33/4.75 cnf('0.26.0.0',plain,
% 4.33/4.75 ( X1 = meet(X1,join(X2,X1)) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.4.2.0','0.6.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2','L')]).
% 4.33/4.75 cnf('0.26.1.0',plain,
% 4.33/4.75 ( X1 = meet(X1,join(X2,X1)) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.26.0.0']),
% 4.33/4.75 [weight('<5,6,4,[0,0,0,2]>')]).
% 4.33/4.75 cnf('0.26.2.0',plain,
% 4.33/4.75 ( meet(X1,join(X2,X1)) = X1 ),
% 4.33/4.75 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 4.33/4.75 [x,rule_24]).
% 4.33/4.75 cnf('0.30.0.0',plain,
% 4.33/4.75 ( X1 = join(X1,meet(X2,X1)) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.2.2.0','0.11.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2','L')]).
% 4.33/4.75 cnf('0.30.1.0',plain,
% 4.33/4.75 ( X1 = join(X1,meet(X2,X1)) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.30.0.0']),
% 4.33/4.75 [weight('<5,11,2,[0,0,0,2]>')]).
% 4.33/4.75 cnf('0.30.2.0',plain,
% 4.33/4.75 ( join(X1,meet(X2,X1)) = X1 ),
% 4.33/4.75 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 4.33/4.75 [x,rule_28]).
% 4.33/4.75 cnf('0.33.0.0',plain,
% 4.33/4.75 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.14.2.0','0.5.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2','L')]).
% 4.33/4.75 cnf('0.33.1.0',plain,
% 4.33/4.75 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.33.0.0']),
% 4.33/4.75 [weight('<5,14,5,[1,0,0,3]>')]).
% 4.33/4.75 cnf('0.33.2.0',plain,
% 4.33/4.75 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 4.33/4.75 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 4.33/4.75 [u,rule_31]).
% 4.33/4.75 cnf('0.34.0.0',plain,
% 4.33/4.75 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.26.2.0','0.2.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2','L')]).
% 4.33/4.75 cnf('0.34.0.1',plain,
% 4.33/4.75 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 4.33/4.75 inference(reduction,[status(thm)],['0.34.0.0','0.12.2.0',theory(equality)]),
% 4.33/4.75 [pos('R','L')]).
% 4.33/4.75 cnf('0.34.1.0',plain,
% 4.33/4.75 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.34.0.1']),
% 4.33/4.75 [weight('<5,26,2,[1,0,0,2]>')]).
% 4.33/4.75 cnf('0.34.2.0',plain,
% 4.33/4.75 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 4.33/4.75 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 4.33/4.75 [x,rule_32]).
% 4.33/4.75 cnf('0.36.0.0',plain,
% 4.33/4.75 ( join(X1,join(complement(X1),X2)) = join(n1,X2) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.8.2.0','0.9.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.1','L')]).
% 4.33/4.75 cnf('0.36.1.0',plain,
% 4.33/4.75 ( join(X1,join(complement(X1),X2)) = join(n1,X2) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.36.0.0']),
% 4.33/4.75 [weight('<6,9,8,[0,0,0,1]>')]).
% 4.33/4.75 cnf('0.36.1.1',plain,
% 4.33/4.75 ( join(X1,join(complement(X1),X2)) = n1 ),
% 4.33/4.75 inference(reduction,[status(thm)],['0.36.1.0','0.22.2.0',theory(equality)]),
% 4.33/4.75 [pos('R','L')]).
% 4.33/4.75 cnf('0.36.2.0',plain,
% 4.33/4.75 ( join(X1,join(complement(X1),X2)) = n1 ),
% 4.33/4.75 inference(orient,[status(thm)],['0.36.1.1',theory(equality)]),
% 4.33/4.75 [u,rule_34]).
% 4.33/4.75 cnf('0.39.0.0',plain,
% 4.33/4.75 ( n1 = join(X1,join(X2,complement(X1))) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.36.2.0','0.6.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2','L')]).
% 4.33/4.75 cnf('0.39.1.0',plain,
% 4.33/4.75 ( n1 = join(X1,join(X2,complement(X1))) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.39.0.0']),
% 4.33/4.75 [weight('<6,36,6,[1,0,0,2]>')]).
% 4.33/4.75 cnf('0.39.2.0',plain,
% 4.33/4.75 ( join(X1,join(X2,complement(X1))) = n1 ),
% 4.33/4.75 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 4.33/4.75 [x,rule_37]).
% 4.33/4.75 cnf('0.46.0.0',plain,
% 4.33/4.75 ( n1 = join(X1,complement(meet(X2,X1))) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.39.2.0','0.10.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2','L')]).
% 4.33/4.75 cnf('0.46.1.0',plain,
% 4.33/4.75 ( n1 = join(X1,complement(meet(X2,X1))) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.46.0.0']),
% 4.33/4.75 [weight('<6,39,10,[1,0,0,2]>')]).
% 4.33/4.75 cnf('0.46.2.0',plain,
% 4.33/4.75 ( join(X1,complement(meet(X2,X1))) = n1 ),
% 4.33/4.75 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 4.33/4.75 [x,rule_44]).
% 4.33/4.75 cnf('0.48.0.0',plain,
% 4.33/4.75 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.1','L')]).
% 4.33/4.75 cnf('0.48.1.0',plain,
% 4.33/4.75 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.48.0.0']),
% 4.33/4.75 [weight('<7,8,2,[1,0,0,1]>')]).
% 4.33/4.75 cnf('0.48.2.0',plain,
% 4.33/4.75 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 4.33/4.75 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 4.33/4.75 [u,rule_46]).
% 4.33/4.75 cnf('0.64.0.0',plain,
% 4.33/4.75 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.8.2.0','0.30.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.1','L')]).
% 4.33/4.75 cnf('0.64.1.0',plain,
% 4.33/4.75 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.64.0.0']),
% 4.33/4.75 [weight('<7,30,8,[0,0,0,1]>')]).
% 4.33/4.75 cnf('0.64.2.0',plain,
% 4.33/4.75 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 4.33/4.75 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 4.33/4.75 [u,rule_62]).
% 4.33/4.75 cnf('0.74.0.0',plain,
% 4.33/4.75 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.48.2.0','0.6.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2','L')]).
% 4.33/4.75 cnf('0.74.1.0',plain,
% 4.33/4.75 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.74.0.0']),
% 4.33/4.75 [weight('<7,48,6,[1,0,0,2]>')]).
% 4.33/4.75 cnf('0.74.2.0',plain,
% 4.33/4.75 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 4.33/4.75 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 4.33/4.75 [x,rule_72]).
% 4.33/4.75 cnf('0.84.0.0',plain,
% 4.33/4.75 ( join(X1,X2) = join(X1,meet(complement(X1),join(X2,X1))) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.7.2.0','0.6.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2.2','L')]).
% 4.33/4.75 cnf('0.84.1.0',plain,
% 4.33/4.75 ( join(X1,X2) = join(X1,meet(complement(X1),join(X2,X1))) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.84.0.0']),
% 4.33/4.75 [weight('<8,7,6,[1,0,0,5]>')]).
% 4.33/4.75 cnf('0.84.2.0',plain,
% 4.33/4.75 ( join(X1,meet(complement(X1),join(X2,X1))) = join(X1,X2) ),
% 4.33/4.75 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 4.33/4.75 [x,rule_82]).
% 4.33/4.75 cnf('0.101.0.0',plain,
% 4.33/4.75 ( n1 = join(meet(X1,X2),complement(meet(X2,X1))) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.46.2.0','0.34.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2.1','L')]).
% 4.33/4.75 cnf('0.101.1.0',plain,
% 4.33/4.75 ( n1 = join(meet(X1,X2),complement(meet(X2,X1))) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.101.0.0']),
% 4.33/4.75 [weight('<8,46,34,[1,0,0,3]>')]).
% 4.33/4.75 cnf('0.101.2.0',plain,
% 4.33/4.75 ( join(meet(X1,X2),complement(meet(X2,X1))) = n1 ),
% 4.33/4.75 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 4.33/4.75 [x,rule_99]).
% 4.33/4.75 cnf('0.307.0.0',plain,
% 4.33/4.75 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.8.2.0','0.6.2.0',theory(equality)]),
% 4.33/4.75 [pos('L','L')]).
% 4.33/4.75 cnf('0.307.1.0',plain,
% 4.33/4.75 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.307.0.0']),
% 4.33/4.75 [weight('<10,8,6,[1,0,0,0]>')]).
% 4.33/4.75 cnf('0.307.2.0',plain,
% 4.33/4.75 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 4.33/4.75 inference(activate,[status(thm)],['0.307.1.0']),
% 4.33/4.75 [equation_7]).
% 4.33/4.75 cnf('0.308.0.0',plain,
% 4.33/4.75 ( join(join(X1,meet(X2,X3)),join(X4,X2)) = join(X4,join(X2,X1)) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.307.2.0','0.74.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2','L')]).
% 4.33/4.75 cnf('0.308.0.1',plain,
% 4.33/4.75 ( join(X1,join(meet(X2,X3),join(X4,X2))) = join(X4,join(X2,X1)) ),
% 4.33/4.75 inference(reduction,[status(thm)],['0.308.0.0','0.8.2.0',theory(equality)]),
% 4.33/4.75 [pos('L','L')]).
% 4.33/4.75 cnf('0.308.1.0',plain,
% 4.33/4.75 ( join(X1,join(meet(X2,X3),join(X4,X2))) = join(X4,join(X2,X1)) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.308.0.1']),
% 4.33/4.75 [weight('<9,307,74,[1,0,0,2]>')]).
% 4.33/4.75 cnf('0.308.1.1',plain,
% 4.33/4.75 ( join(X1,join(X2,join(meet(X2,X3),X4))) = join(X4,join(X2,X1)) ),
% 4.33/4.75 inference(reduction,[status(thm)],['0.308.1.0','0.307.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2','L')]).
% 4.33/4.75 cnf('0.308.1.2',plain,
% 4.33/4.75 ( join(X1,join(X2,X4)) = join(X4,join(X2,X1)) ),
% 4.33/4.75 inference(reduction,[status(thm)],['0.308.1.1','0.48.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2','L')]).
% 4.33/4.75 cnf('0.308.2.0',plain,
% 4.33/4.75 ( join(X1,join(X2,X3)) = join(X3,join(X2,X1)) ),
% 4.33/4.75 inference(activate,[status(thm)],['0.308.1.2']),
% 4.33/4.75 [equation_8]).
% 4.33/4.75 cnf('0.345.0.0',plain,
% 4.33/4.75 ( join(meet(X1,X2),X1) = join(meet(X1,X2),meet(complement(meet(X1,X2)),X1)) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.84.2.0','0.2.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2.2','L')]).
% 4.33/4.75 cnf('0.345.1.0',plain,
% 4.33/4.75 ( join(meet(X1,X2),X1) = join(meet(X1,X2),meet(complement(meet(X1,X2)),X1)) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.345.0.0']),
% 4.33/4.75 [weight('<10,84,2,[1,0,0,5]>')]).
% 4.33/4.75 cnf('0.345.1.1',plain,
% 4.33/4.75 ( join(X1,meet(X1,X2)) = join(meet(X1,X2),meet(complement(meet(X1,X2)),X1)) ),
% 4.33/4.75 inference(reduction,[status(thm)],['0.345.1.0','0.6.2.0',theory(equality)]),
% 4.33/4.75 [pos('L','L')]).
% 4.33/4.75 cnf('0.345.1.2',plain,
% 4.33/4.75 ( X1 = join(meet(X1,X2),meet(complement(meet(X1,X2)),X1)) ),
% 4.33/4.75 inference(reduction,[status(thm)],['0.345.1.1','0.2.2.0',theory(equality)]),
% 4.33/4.75 [pos('L','L')]).
% 4.33/4.75 cnf('0.345.1.3',plain,
% 4.33/4.75 ( X1 = join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) ),
% 4.33/4.75 inference(reduction,[status(thm)],['0.345.1.2','0.11.2.0',theory(equality)]),
% 4.33/4.75 [pos('R.2','L')]).
% 4.33/4.75 cnf('0.345.2.0',plain,
% 4.33/4.75 ( join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) = X1 ),
% 4.33/4.75 inference(orient,[status(thm)],['0.345.1.3',theory(equality)]),
% 4.33/4.75 [x,rule_337]).
% 4.33/4.75 cnf('0.346.0.0',plain,
% 4.33/4.75 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,X2) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.64.2.0','0.345.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2','L')]).
% 4.33/4.75 cnf('0.346.1.0',plain,
% 4.33/4.75 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,X2) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.346.0.0']),
% 4.33/4.75 [weight('<8,345,64,[0,0,0,2]>')]).
% 4.33/4.75 cnf('0.346.2.0',plain,
% 4.33/4.75 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,X2) ),
% 4.33/4.75 inference(orient,[status(thm)],['0.346.1.0',theory(equality)]),
% 4.33/4.75 [u,rule_338]).
% 4.33/4.75 cnf('0.351.0.0',plain,
% 4.33/4.75 ( join(complement(X1),complement(X2)) = join(complement(X1),meet(complement(X2),complement(complement(join(X2,X1))))) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.346.2.0','0.14.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.2.2.1','L')]).
% 4.33/4.75 cnf('0.351.0.1',plain,
% 4.33/4.75 ( complement(meet(X1,X2)) = join(complement(X1),meet(complement(X2),complement(complement(join(X2,X1))))) ),
% 4.33/4.75 inference(reduction,[status(thm)],['0.351.0.0','0.10.2.0',theory(equality)]),
% 4.33/4.75 [pos('L','L')]).
% 4.33/4.75 cnf('0.351.0.2',plain,
% 4.33/4.75 ( complement(meet(X1,X2)) = join(complement(X1),complement(join(X2,complement(join(X2,X1))))) ),
% 4.33/4.75 inference(reduction,[status(thm)],['0.351.0.1','0.14.2.0',theory(equality)]),
% 4.33/4.75 [pos('R.2','L')]).
% 4.33/4.75 cnf('0.351.0.3',plain,
% 4.33/4.75 ( complement(meet(X1,X2)) = join(complement(X1),meet(complement(X2),join(X2,X1))) ),
% 4.33/4.75 inference(reduction,[status(thm)],['0.351.0.2','0.33.2.0',theory(equality)]),
% 4.33/4.75 [pos('R.2','L')]).
% 4.33/4.75 cnf('0.351.1.0',plain,
% 4.33/4.75 ( complement(meet(X1,X2)) = join(complement(X1),meet(complement(X2),join(X2,X1))) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.351.0.3']),
% 4.33/4.75 [weight('<9,346,14,[1,0,0,5]>')]).
% 4.33/4.75 cnf('0.351.2.0',plain,
% 4.33/4.75 ( join(complement(X1),meet(complement(X2),join(X2,X1))) = complement(meet(X1,X2)) ),
% 4.33/4.75 inference(orient,[status(thm)],['0.351.1.0',theory(equality)]),
% 4.33/4.75 [x,rule_343]).
% 4.33/4.75 cnf('0.1379.0.0',plain,
% 4.33/4.75 ( join(complement(X1),join(meet(complement(X2),join(X2,X1)),X3)) = join(complement(meet(X1,X2)),X3) ),
% 4.33/4.75 inference(cp,[status(thm)],['0.8.2.0','0.351.2.0',theory(equality)]),
% 4.33/4.75 [pos('L.1','L')]).
% 4.33/4.75 cnf('0.1379.1.0',plain,
% 4.33/4.75 ( join(complement(X1),join(meet(complement(X2),join(X2,X1)),X3)) = join(complement(meet(X1,X2)),X3) ),
% 4.33/4.75 inference(weigh,[status(thm)],['0.1379.0.0']),
% 4.33/4.75 [weight('<11,351,8,[0,0,0,1]>')]).
% 4.33/4.75 cnf('0.1379.2.0',plain,
% 4.33/4.75 ( join(complement(X1),join(meet(complement(X2),join(X2,X1)),X3)) = join(complement(meet(X1,X2)),X3) ),
% 4.33/4.75 inference(orient,[status(thm)],['0.1379.1.0',theory(equality)]),
% 4.33/4.75 [u,rule_1371]).
% 4.33/4.75 cnf('1.0.0.0',conjecture,
% 4.33/4.75 ( join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) = n1 ),
% 4.33/4.75 file('/tmp/WALDMEISTER_27519_n011',conjecture_1)).
% 4.33/4.75 cnf('1.0.0.1',plain,
% 4.33/4.75 ( join(meet(a,b),join(complement(b),meet(complement(a),join(a,b)))) = n1 ),
% 4.33/4.75 inference(reduction,[status(thm)],['1.0.0.0','0.308.2.0',theory(equality)]),
% 4.33/4.75 [pos('L','L')]).
% 4.33/4.75 cnf('1.0.0.2',plain,
% 4.33/4.75 ( join(complement(b),join(meet(complement(a),join(a,b)),meet(a,b))) = n1 ),
% 4.33/4.75 inference(reduction,[status(thm)],['1.0.0.1','0.307.2.0',theory(equality)]),
% 4.33/4.75 [pos('L','R')]).
% 4.33/4.75 cnf('1.0.0.3',plain,
% 4.33/4.75 ( join(complement(meet(b,a)),meet(a,b)) = n1 ),
% 4.33/4.75 inference(reduction,[status(thm)],['1.0.0.2','0.1379.2.0',theory(equality)]),
% 4.33/4.75 [pos('L','L')]).
% 4.33/4.75 cnf('1.0.0.4',plain,
% 4.33/4.75 ( join(meet(a,b),complement(meet(b,a))) = n1 ),
% 4.33/4.75 inference(reduction,[status(thm)],['1.0.0.3','0.6.2.0',theory(equality)]),
% 4.33/4.75 [pos('L','L')]).
% 4.33/4.75 cnf('1.0.0.5',plain,
% 4.33/4.75 ( n1 = n1 ),
% 4.33/4.75 inference(reduction,[status(thm)],['1.0.0.4','0.101.2.0',theory(equality)]),
% 4.33/4.75 [pos('L','L')]).
% 4.33/4.75 cnf('1.0.0.6',plain,
% 4.33/4.75 ( $true ),
% 4.33/4.75 inference(trivial,[status(thm)],['1.0.0.5',theory(equality)]),
% 4.33/4.75 [conjecture_1]).
% 4.33/4.75
% 4.33/4.75 Proved Goals:
% 4.33/4.75 No. 1: join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) ?= n1 joined, current: n1 = n1
% 4.33/4.75 1 goal was specified, which was proved.
% 4.33/4.75 % SZS output end CNFRefutation
% 4.33/4.75 #END OF PROOF
% 4.33/4.75
% 4.33/4.75 Problem WALDMEISTER_27519_n011
% 4.33/4.75 CPs.gen 1255591
% 4.33/4.75 CPs.reexp 0
% 4.33/4.75 Select 60586
% 4.33/4.75 R 1371
% 4.33/4.75 E 8
% 4.33/4.75 vsize 8.9M
% 4.33/4.75 rss 4.5M
% 4.33/4.75 process.time 3.733s
% 4.33/4.75 wallclock.time 3.733s
% 4.33/4.75 status S
% 4.33/4.75
% 4.33/4.75
% 4.33/4.75 Waldmeister states: Goal proved.
% 4.33/4.75 % SZS status Unsatisfiable
%------------------------------------------------------------------------------