TSTP Solution File: LAT045-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT045-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 07:14:53 EDT 2022
% Result : Unsatisfiable 0.62s 1.00s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT045-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n023.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 21:33:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.62/1.00 ********************************************************************************
% 0.62/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.62/1.00 * |/ | \/ | *
% 0.62/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.62/1.00 * A. Jaeger and B. Loechner | | *
% 0.62/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.62/1.00 ********************************************************************************
% 0.62/1.00
% 0.62/1.00
% 0.62/1.00 Goals:
% 0.62/1.00 ------
% 0.62/1.00
% 0.62/1.00 ( 1) join(a,meet(complement(a),join(a,b))) ?=? join(a,b)
% 0.62/1.00
% 0.62/1.00 Detected structure: Verband
% 0.62/1.00 ********************************************************************************
% 0.62/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.62/1.00 ********************************************************************************
% 0.62/1.00
% 0.62/1.00 joined goal: 1 join(a,meet(complement(a),join(a,b))) ?= join(a,b) to join(b,a)
% 0.62/1.00 goal joined
% 0.62/1.00 % SZS status Unsatisfiable
% 0.62/1.00 #START OF PROOF
% 0.62/1.00 % SZS output start CNFRefutation
% 0.62/1.00 cnf('0.4.0.0',axiom,
% 0.62/1.00 ( X1 = meet(X1,join(X1,X2)) ),
% 0.62/1.00 file('/tmp/WALDMEISTER_26162_n023')).
% 0.62/1.00 cnf('0.4.1.0',plain,
% 0.62/1.00 ( X1 = meet(X1,join(X1,X2)) ),
% 0.62/1.00 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.62/1.00 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.62/1.00 cnf('0.4.2.0',plain,
% 0.62/1.00 ( meet(X1,join(X1,X2)) = X1 ),
% 0.62/1.00 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.62/1.00 [x,rule_4]).
% 0.62/1.00 cnf('0.6.0.0',axiom,
% 0.62/1.00 ( join(X1,X2) = join(X2,X1) ),
% 0.62/1.00 file('/tmp/WALDMEISTER_26162_n023')).
% 0.62/1.00 cnf('0.6.1.0',plain,
% 0.62/1.00 ( join(X1,X2) = join(X2,X1) ),
% 0.62/1.00 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.62/1.00 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.62/1.00 cnf('0.6.2.0',plain,
% 0.62/1.00 ( join(X1,X2) = join(X2,X1) ),
% 0.62/1.00 inference(activate,[status(thm)],['0.6.1.0']),
% 0.62/1.00 [equation_1]).
% 0.62/1.00 cnf('0.8.0.0',axiom,
% 0.62/1.00 ( join(X1,meet(X2,join(X1,X3))) = meet(join(X1,X2),join(X1,X3)) ),
% 0.62/1.00 file('/tmp/WALDMEISTER_26162_n023')).
% 0.62/1.00 cnf('0.8.1.0',plain,
% 0.62/1.00 ( join(X1,meet(X2,join(X1,X3))) = meet(join(X1,X2),join(X1,X3)) ),
% 0.62/1.00 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.62/1.00 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.62/1.00 cnf('0.8.2.0',plain,
% 0.62/1.00 ( join(X1,meet(X2,join(X1,X3))) = meet(join(X1,X2),join(X1,X3)) ),
% 0.62/1.00 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.62/1.00 [u,rule_7]).
% 0.62/1.00 cnf('0.9.0.0',axiom,
% 0.62/1.00 ( join(complement(X1),X1) = n1 ),
% 0.62/1.00 file('/tmp/WALDMEISTER_26162_n023')).
% 0.62/1.00 cnf('0.9.1.0',plain,
% 0.62/1.00 ( join(complement(X1),X1) = n1 ),
% 0.62/1.00 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.62/1.00 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.62/1.00 cnf('0.9.1.1',plain,
% 0.62/1.00 ( join(X1,complement(X1)) = n1 ),
% 0.62/1.00 inference(reduction,[status(thm)],['0.9.1.0','0.6.2.0',theory(equality)]),
% 0.62/1.00 [pos('L','L')]).
% 0.62/1.00 cnf('0.9.2.0',plain,
% 0.62/1.00 ( join(X1,complement(X1)) = n1 ),
% 0.62/1.00 inference(orient,[status(thm)],['0.9.1.1',theory(equality)]),
% 0.62/1.00 [u,rule_8]).
% 0.62/1.00 cnf('0.11.0.0',axiom,
% 0.62/1.00 ( meet(X1,X2) = meet(X2,X1) ),
% 0.62/1.00 file('/tmp/WALDMEISTER_26162_n023')).
% 0.62/1.00 cnf('0.11.1.0',plain,
% 0.62/1.00 ( meet(X1,X2) = meet(X2,X1) ),
% 0.62/1.00 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.62/1.00 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.62/1.00 cnf('0.11.2.0',plain,
% 0.62/1.00 ( meet(X1,X2) = meet(X2,X1) ),
% 0.62/1.00 inference(activate,[status(thm)],['0.11.1.0']),
% 0.62/1.00 [equation_2]).
% 0.62/1.00 cnf('0.17.0.0',plain,
% 0.62/1.00 ( X1 = meet(X1,n1) ),
% 0.62/1.00 inference(cp,[status(thm)],['0.4.2.0','0.9.2.0',theory(equality)]),
% 0.62/1.00 [pos('L.2','L')]).
% 0.62/1.00 cnf('0.17.1.0',plain,
% 0.62/1.00 ( X1 = meet(X1,n1) ),
% 0.62/1.00 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.62/1.00 [weight('<3,9,4,[0,0,0,2]>')]).
% 0.62/1.00 cnf('0.17.2.0',plain,
% 0.62/1.00 ( meet(X1,n1) = X1 ),
% 0.62/1.00 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.62/1.00 [x,rule_15]).
% 0.62/1.00 cnf('1.0.0.0',conjecture,
% 0.62/1.00 ( join(a,meet(complement(a),join(a,b))) = join(a,b) ),
% 0.62/1.00 file('/tmp/WALDMEISTER_26162_n023',conjecture_1)).
% 0.62/1.00 cnf('1.0.0.1',plain,
% 0.62/1.00 ( meet(join(a,complement(a)),join(a,b)) = join(a,b) ),
% 0.62/1.00 inference(reduction,[status(thm)],['1.0.0.0','0.8.2.0',theory(equality)]),
% 0.62/1.00 [pos('L','L')]).
% 0.62/1.00 cnf('1.0.0.2',plain,
% 0.62/1.00 ( meet(join(a,b),join(a,complement(a))) = join(a,b) ),
% 0.62/1.00 inference(reduction,[status(thm)],['1.0.0.1','0.11.2.0',theory(equality)]),
% 0.62/1.00 [pos('L','L')]).
% 0.62/1.00 cnf('1.0.0.3',plain,
% 0.62/1.00 ( meet(join(b,a),join(a,complement(a))) = join(a,b) ),
% 0.62/1.00 inference(reduction,[status(thm)],['1.0.0.2','0.6.2.0',theory(equality)]),
% 0.62/1.00 [pos('L.1','L')]).
% 0.62/1.00 cnf('1.0.0.4',plain,
% 0.62/1.00 ( meet(join(b,a),n1) = join(a,b) ),
% 0.62/1.00 inference(reduction,[status(thm)],['1.0.0.3','0.9.2.0',theory(equality)]),
% 0.62/1.00 [pos('L.2','L')]).
% 0.62/1.00 cnf('1.0.0.5',plain,
% 0.62/1.00 ( join(b,a) = join(a,b) ),
% 0.62/1.00 inference(reduction,[status(thm)],['1.0.0.4','0.17.2.0',theory(equality)]),
% 0.62/1.00 [pos('L','L')]).
% 0.62/1.00 cnf('1.0.0.6',plain,
% 0.62/1.00 ( join(b,a) = join(b,a) ),
% 0.62/1.00 inference(reduction,[status(thm)],['1.0.0.5','0.6.2.0',theory(equality)]),
% 0.62/1.00 [pos('R','L')]).
% 0.62/1.00 cnf('1.0.0.7',plain,
% 0.62/1.00 ( $true ),
% 0.62/1.00 inference(trivial,[status(thm)],['1.0.0.6',theory(equality)]),
% 0.62/1.00 [conjecture_1]).
% 0.62/1.00
% 0.62/1.00 Proved Goals:
% 0.62/1.00 No. 1: join(a,meet(complement(a),join(a,b))) ?= join(a,b) joined, current: join(b,a) = join(b,a)
% 0.62/1.00 1 goal was specified, which was proved.
% 0.62/1.00 % SZS output end CNFRefutation
% 0.62/1.00 #END OF PROOF
% 0.62/1.00
% 0.62/1.00 Problem WALDMEISTER_26162_n023
% 0.62/1.00 CPs.gen 78
% 0.62/1.00 CPs.reexp 0
% 0.62/1.00 Select 17
% 0.62/1.00 R 15
% 0.62/1.00 E 2
% 0.62/1.00 vsize 6.5M
% 0.62/1.00 rss 3.5M
% 0.62/1.00 process.time 0.002s
% 0.62/1.00 wallclock.time 0.002s
% 0.62/1.00 status S
% 0.62/1.00
% 0.62/1.00
% 0.62/1.00 Waldmeister states: Goal proved.
% 0.62/1.00 % SZS status Unsatisfiable
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