TSTP Solution File: LAT039-2 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT039-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n029.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 07:14:52 EDT 2022
% Result : Unsatisfiable 0.56s 0.96s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LAT039-2 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : woody %s
% 0.11/0.31 % Computer : n029.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jun 30 14:51:08 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.56/0.96 ********************************************************************************
% 0.56/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.96 * |/ | \/ | *
% 0.56/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.96 * A. Jaeger and B. Loechner | | *
% 0.56/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.96 ********************************************************************************
% 0.56/0.96
% 0.56/0.96
% 0.56/0.96 Goals:
% 0.56/0.96 ------
% 0.56/0.96
% 0.56/0.96 ( 1) join(xx,meet(yy,zz)) ?=? meet(join(xx,yy),join(xx,zz))
% 0.56/0.96
% 0.56/0.96 Detected structure: Verband
% 0.56/0.96 ********************************************************************************
% 0.56/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.96 ********************************************************************************
% 0.56/0.96
% 0.56/0.96 joined goal: 1 join(xx,meet(yy,zz)) ?= meet(join(xx,yy),join(xx,zz)) to join(xx,meet(yy,zz))
% 0.56/0.96 goal joined
% 0.56/0.96 % SZS status Unsatisfiable
% 0.56/0.96 #START OF PROOF
% 0.56/0.96 % SZS output start CNFRefutation
% 0.56/0.96 cnf('0.7.0.0',axiom,
% 0.56/0.96 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 0.56/0.96 file('/tmp/WALDMEISTER_21919_n029')).
% 0.56/0.96 cnf('0.7.1.0',plain,
% 0.56/0.96 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.56/0.96 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.56/0.96 cnf('0.7.2.0',plain,
% 0.56/0.96 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,X3)) ),
% 0.56/0.96 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_6]).
% 0.56/0.96 cnf('1.0.0.0',conjecture,
% 0.56/0.96 ( join(xx,meet(yy,zz)) = meet(join(xx,yy),join(xx,zz)) ),
% 0.56/0.96 file('/tmp/WALDMEISTER_21919_n029',conjecture_1)).
% 0.56/0.96 cnf('1.0.0.1',plain,
% 0.56/0.96 ( join(xx,meet(yy,zz)) = join(xx,meet(yy,zz)) ),
% 0.56/0.96 inference(reduction,[status(thm)],['1.0.0.0','0.7.2.0',theory(equality)]),
% 0.56/0.96 [pos('R','L')]).
% 0.56/0.96 cnf('1.0.0.2',plain,
% 0.56/0.96 ( $true ),
% 0.56/0.96 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.56/0.96 [conjecture_1]).
% 0.56/0.96
% 0.56/0.96 Proved Goals:
% 0.56/0.96 No. 1: join(xx,meet(yy,zz)) ?= meet(join(xx,yy),join(xx,zz)) joined, current: join(xx,meet(yy,zz)) = join(xx,meet(yy,zz))
% 0.56/0.96 1 goal was specified, which was proved.
% 0.56/0.96 % SZS output end CNFRefutation
% 0.56/0.96 #END OF PROOF
% 0.56/0.96
% 0.56/0.96 Problem WALDMEISTER_21919_n029
% 0.56/0.96 CPs.gen 15
% 0.56/0.96 CPs.reexp 0
% 0.56/0.96 Select 7
% 0.56/0.96 R 6
% 0.56/0.96 E 1
% 0.56/0.96 vsize 6.5M
% 0.56/0.96 rss 3.5M
% 0.56/0.96 process.time 0.002s
% 0.56/0.96 wallclock.time 0.002s
% 0.56/0.96 status S
% 0.56/0.96
% 0.56/0.96
% 0.56/0.96 Waldmeister states: Goal proved.
% 0.56/0.96 % SZS status Unsatisfiable
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