TSTP Solution File: LAT039-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT039-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 07:14:51 EDT 2022
% Result : Unsatisfiable 0.56s 1.00s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT039-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n026.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 : Thu Jun 30 10:58:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.99 ********************************************************************************
% 0.56/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.99 * |/ | \/ | *
% 0.56/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.99 * A. Jaeger and B. Loechner | | *
% 0.56/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.99 ********************************************************************************
% 0.56/0.99
% 0.56/0.99
% 0.56/0.99 Goals:
% 0.56/0.99 ------
% 0.56/0.99
% 0.56/0.99 ( 1) join(xx,meet(yy,zz)) ?=? meet(yy,join(xx,zz))
% 0.56/0.99
% 0.56/0.99 Detected structure: Verband
% 0.56/0.99 ********************************************************************************
% 0.56/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.99 ********************************************************************************
% 0.56/0.99
% 0.56/1.00 joined goal: 1 join(xx,meet(yy,zz)) ?= meet(yy,join(xx,zz)) to meet(yy,join(zz,xx))
% 0.56/1.00 goal joined
% 0.56/1.00 % SZS status Unsatisfiable
% 0.56/1.00 #START OF PROOF
% 0.56/1.00 % SZS output start CNFRefutation
% 0.56/1.00 cnf('0.5.0.0',axiom,
% 0.56/1.00 ( join(X1,X2) = join(X2,X1) ),
% 0.56/1.00 file('/tmp/WALDMEISTER_21197_n026')).
% 0.56/1.00 cnf('0.5.1.0',plain,
% 0.56/1.00 ( join(X1,X2) = join(X2,X1) ),
% 0.56/1.00 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.56/1.00 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.56/1.00 cnf('0.5.2.0',plain,
% 0.56/1.00 ( join(X1,X2) = join(X2,X1) ),
% 0.56/1.00 inference(activate,[status(thm)],['0.5.1.0']),
% 0.56/1.00 [equation_1]).
% 0.56/1.00 cnf('0.7.0.0',axiom,
% 0.56/1.00 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 0.56/1.00 file('/tmp/WALDMEISTER_21197_n026')).
% 0.56/1.00 cnf('0.7.1.0',plain,
% 0.56/1.00 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 0.56/1.00 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.56/1.00 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.56/1.00 cnf('0.7.2.0',plain,
% 0.56/1.00 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,X3)) ),
% 0.56/1.00 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.56/1.00 [x,rule_6]).
% 0.56/1.00 cnf('0.9.0.0',axiom,
% 0.56/1.00 ( join(xx,yy) = yy ),
% 0.56/1.00 file('/tmp/WALDMEISTER_21197_n026')).
% 0.56/1.00 cnf('0.9.1.0',plain,
% 0.56/1.00 ( join(xx,yy) = yy ),
% 0.56/1.00 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.56/1.00 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.56/1.00 cnf('0.9.2.0',plain,
% 0.56/1.00 ( join(xx,yy) = yy ),
% 0.56/1.00 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.56/1.00 [u,rule_8]).
% 0.56/1.00 cnf('0.17.0.0',plain,
% 0.56/1.00 ( join(xx,meet(yy,X1)) = meet(yy,join(xx,X1)) ),
% 0.56/1.00 inference(cp,[status(thm)],['0.7.2.0','0.9.2.0',theory(equality)]),
% 0.56/1.00 [pos('L.1','L')]).
% 0.56/1.00 cnf('0.17.1.0',plain,
% 0.56/1.00 ( join(xx,meet(yy,X1)) = meet(yy,join(xx,X1)) ),
% 0.56/1.00 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.56/1.00 [weight('<5,9,7,[0,0,0,1]>')]).
% 0.56/1.00 cnf('0.17.2.0',plain,
% 0.56/1.00 ( join(xx,meet(yy,X1)) = meet(yy,join(xx,X1)) ),
% 0.56/1.00 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.56/1.00 [u,rule_15]).
% 0.56/1.00 cnf('1.0.0.0',conjecture,
% 0.56/1.00 ( join(xx,meet(yy,zz)) = meet(yy,join(xx,zz)) ),
% 0.56/1.00 file('/tmp/WALDMEISTER_21197_n026',conjecture_1)).
% 0.56/1.00 cnf('1.0.0.1',plain,
% 0.56/1.00 ( meet(yy,join(xx,zz)) = meet(yy,join(xx,zz)) ),
% 0.56/1.00 inference(reduction,[status(thm)],['1.0.0.0','0.17.2.0',theory(equality)]),
% 0.56/1.00 [pos('L','L')]).
% 0.56/1.00 cnf('1.0.0.2',plain,
% 0.56/1.00 ( meet(yy,join(zz,xx)) = meet(yy,join(xx,zz)) ),
% 0.56/1.00 inference(reduction,[status(thm)],['1.0.0.1','0.5.2.0',theory(equality)]),
% 0.56/1.00 [pos('L.2','L')]).
% 0.56/1.00 cnf('1.0.0.3',plain,
% 0.56/1.00 ( meet(yy,join(zz,xx)) = meet(yy,join(zz,xx)) ),
% 0.56/1.00 inference(reduction,[status(thm)],['1.0.0.2','0.5.2.0',theory(equality)]),
% 0.56/1.00 [pos('R.2','L')]).
% 0.56/1.00 cnf('1.0.0.4',plain,
% 0.56/1.00 ( $true ),
% 0.56/1.00 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.56/1.00 [conjecture_1]).
% 0.56/1.00
% 0.56/1.00 Proved Goals:
% 0.56/1.00 No. 1: join(xx,meet(yy,zz)) ?= meet(yy,join(xx,zz)) joined, current: meet(yy,join(zz,xx)) = meet(yy,join(zz,xx))
% 0.56/1.00 1 goal was specified, which was proved.
% 0.56/1.00 % SZS output end CNFRefutation
% 0.56/1.00 #END OF PROOF
% 0.56/1.00
% 0.56/1.00 Problem WALDMEISTER_21197_n026
% 0.56/1.00 CPs.gen 115
% 0.56/1.00 CPs.reexp 0
% 0.56/1.00 Select 19
% 0.56/1.00 R 15
% 0.56/1.00 E 2
% 0.56/1.00 vsize 6.5M
% 0.56/1.00 rss 3.5M
% 0.56/1.00 process.time 0.002s
% 0.56/1.00 wallclock.time 0.002s
% 0.56/1.00 status S
% 0.56/1.00
% 0.56/1.00
% 0.56/1.00 Waldmeister states: Goal proved.
% 0.56/1.00 % SZS status Unsatisfiable
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