TSTP Solution File: LAT042-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT042-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n009.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 0.51s 0.89s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT042-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n009.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 : Tue Jun 28 19:18:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.48/0.88 ********************************************************************************
% 0.48/0.88 * W A L D M E I S T E R \| \ / \|/ *
% 0.48/0.88 * |/ | \/ | *
% 0.48/0.88 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.48/0.88 * A. Jaeger and B. Loechner | | *
% 0.48/0.88 * <waldmeister@informatik.uni-kl.de> | *
% 0.48/0.88 ********************************************************************************
% 0.48/0.88
% 0.48/0.88
% 0.48/0.88 Goals:
% 0.48/0.88 ------
% 0.48/0.88
% 0.48/0.88 ( 1) meet(join(a,b),join(a,c)) ?=? join(a,meet(b,join(a,c)))
% 0.48/0.88
% 0.48/0.88 Detected structure: Verband
% 0.48/0.88 ********************************************************************************
% 0.48/0.88 ****************************** COMPLETION - PROOF ******************************
% 0.48/0.88 ********************************************************************************
% 0.48/0.88
% 0.51/0.89 joined goal: 1 meet(join(a,b),join(a,c)) ?= join(a,meet(b,join(a,c))) to join(a,meet(c,b))
% 0.51/0.89 goal joined
% 0.51/0.89 % SZS status Unsatisfiable
% 0.51/0.89 #START OF PROOF
% 0.51/0.89 % SZS output start CNFRefutation
% 0.51/0.89 cnf('0.2.0.0',axiom,
% 0.51/0.89 ( X1 = meet(X1,join(X1,X2)) ),
% 0.51/0.89 file('/tmp/WALDMEISTER_6330_n009')).
% 0.51/0.89 cnf('0.2.1.0',plain,
% 0.51/0.89 ( X1 = meet(X1,join(X1,X2)) ),
% 0.51/0.89 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.51/0.89 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.51/0.89 cnf('0.2.2.0',plain,
% 0.51/0.89 ( meet(X1,join(X1,X2)) = X1 ),
% 0.51/0.89 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.51/0.89 [x,rule_2]).
% 0.51/0.89 cnf('0.4.0.0',axiom,
% 0.51/0.89 ( X1 = join(X1,meet(X1,X2)) ),
% 0.51/0.89 file('/tmp/WALDMEISTER_6330_n009')).
% 0.51/0.89 cnf('0.4.1.0',plain,
% 0.51/0.89 ( X1 = join(X1,meet(X1,X2)) ),
% 0.51/0.89 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.51/0.89 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.51/0.89 cnf('0.4.2.0',plain,
% 0.51/0.89 ( join(X1,meet(X1,X2)) = X1 ),
% 0.51/0.89 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.51/0.89 [x,rule_4]).
% 0.51/0.89 cnf('0.6.0.0',axiom,
% 0.51/0.89 ( meet(X1,X2) = meet(X2,X1) ),
% 0.51/0.89 file('/tmp/WALDMEISTER_6330_n009')).
% 0.51/0.89 cnf('0.6.1.0',plain,
% 0.51/0.89 ( meet(X1,X2) = meet(X2,X1) ),
% 0.51/0.89 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.51/0.89 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.51/0.89 cnf('0.6.2.0',plain,
% 0.51/0.89 ( meet(X1,X2) = meet(X2,X1) ),
% 0.51/0.89 inference(activate,[status(thm)],['0.6.1.0']),
% 0.51/0.89 [equation_1]).
% 0.51/0.89 cnf('0.8.0.0',axiom,
% 0.51/0.89 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)) ),
% 0.51/0.89 file('/tmp/WALDMEISTER_6330_n009')).
% 0.51/0.89 cnf('0.8.1.0',plain,
% 0.51/0.89 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)) ),
% 0.51/0.89 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.51/0.89 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.51/0.89 cnf('0.8.2.0',plain,
% 0.51/0.89 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,X3)) ),
% 0.51/0.89 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.51/0.89 [x,rule_7]).
% 0.51/0.89 cnf('0.11.0.0',axiom,
% 0.51/0.89 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.51/0.89 file('/tmp/WALDMEISTER_6330_n009')).
% 0.51/0.89 cnf('0.11.1.0',plain,
% 0.51/0.89 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.51/0.89 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.51/0.89 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.51/0.89 cnf('0.11.2.0',plain,
% 0.51/0.89 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 0.51/0.89 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.51/0.89 [x,rule_9]).
% 0.51/0.89 cnf('0.47.0.0',plain,
% 0.51/0.89 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,X3)) ),
% 0.51/0.89 inference(cp,[status(thm)],['0.8.2.0','0.6.2.0',theory(equality)]),
% 0.51/0.89 [pos('L.1','L')]).
% 0.51/0.89 cnf('0.47.1.0',plain,
% 0.51/0.89 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,X3)) ),
% 0.51/0.89 inference(weigh,[status(thm)],['0.47.0.0']),
% 0.51/0.89 [weight('<7,8,6,[1,0,0,1]>')]).
% 0.51/0.89 cnf('0.47.2.0',plain,
% 0.51/0.89 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(X1,X3)) ),
% 0.51/0.89 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.51/0.89 [x,rule_45]).
% 0.51/0.89 cnf('0.49.0.0',plain,
% 0.51/0.89 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 0.51/0.89 inference(cp,[status(thm)],['0.11.2.0','0.4.2.0',theory(equality)]),
% 0.51/0.89 [pos('L.1','L')]).
% 0.51/0.89 cnf('0.49.1.0',plain,
% 0.51/0.89 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 0.51/0.89 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.51/0.89 [weight('<7,11,4,[1,0,0,1]>')]).
% 0.51/0.89 cnf('0.49.2.0',plain,
% 0.51/0.89 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 0.51/0.89 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.51/0.89 [u,rule_47]).
% 0.51/0.89 cnf('0.72.0.0',plain,
% 0.51/0.89 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),X3)) ),
% 0.51/0.89 inference(cp,[status(thm)],['0.47.2.0','0.2.2.0',theory(equality)]),
% 0.51/0.89 [pos('L.1','L')]).
% 0.51/0.89 cnf('0.72.1.0',plain,
% 0.51/0.89 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),X3)) ),
% 0.51/0.89 inference(weigh,[status(thm)],['0.72.0.0']),
% 0.51/0.89 [weight('<7,47,2,[1,0,0,1]>')]).
% 0.51/0.89 cnf('0.72.2.0',plain,
% 0.51/0.89 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),X3)) ),
% 0.51/0.89 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 0.51/0.89 [u,rule_70]).
% 0.51/0.89 cnf('0.80.0.0',plain,
% 0.51/0.89 ( join(X1,meet(X2,X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 0.51/0.89 inference(cp,[status(thm)],['0.49.2.0','0.47.2.0',theory(equality)]),
% 0.51/0.89 [pos('L.2','L')]).
% 0.51/0.89 cnf('0.80.1.0',plain,
% 0.51/0.89 ( join(X1,meet(X2,X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 0.51/0.89 inference(weigh,[status(thm)],['0.80.0.0']),
% 0.51/0.89 [weight('<7,49,47,[1,0,0,2]>')]).
% 0.51/0.89 cnf('0.80.2.0',plain,
% 0.51/0.89 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,X3)) ),
% 0.51/0.89 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 0.51/0.89 [x,rule_78]).
% 0.51/0.89 cnf('1.0.0.0',conjecture,
% 0.51/0.89 ( meet(join(a,b),join(a,c)) = join(a,meet(b,join(a,c))) ),
% 0.51/0.89 file('/tmp/WALDMEISTER_6330_n009',conjecture_1)).
% 0.51/0.89 cnf('1.0.0.1',plain,
% 0.51/0.89 ( join(a,meet(join(a,b),c)) = join(a,meet(b,join(a,c))) ),
% 0.51/0.89 inference(reduction,[status(thm)],['1.0.0.0','0.72.2.0',theory(equality)]),
% 0.51/0.89 [pos('L','L')]).
% 0.51/0.89 cnf('1.0.0.2',plain,
% 0.51/0.89 ( join(a,meet(c,join(a,b))) = join(a,meet(b,join(a,c))) ),
% 0.51/0.89 inference(reduction,[status(thm)],['1.0.0.1','0.6.2.0',theory(equality)]),
% 0.51/0.89 [pos('L.2','L')]).
% 0.51/0.89 cnf('1.0.0.3',plain,
% 0.51/0.89 ( join(a,meet(c,b)) = join(a,meet(b,join(a,c))) ),
% 0.51/0.89 inference(reduction,[status(thm)],['1.0.0.2','0.80.2.0',theory(equality)]),
% 0.51/0.89 [pos('L','L')]).
% 0.51/0.89 cnf('1.0.0.4',plain,
% 0.51/0.89 ( join(a,meet(c,b)) = join(a,meet(b,c)) ),
% 0.51/0.89 inference(reduction,[status(thm)],['1.0.0.3','0.80.2.0',theory(equality)]),
% 0.51/0.89 [pos('R','L')]).
% 0.51/0.89 cnf('1.0.0.5',plain,
% 0.51/0.89 ( join(a,meet(c,b)) = join(a,meet(c,b)) ),
% 0.51/0.89 inference(reduction,[status(thm)],['1.0.0.4','0.6.2.0',theory(equality)]),
% 0.51/0.89 [pos('R.2','L')]).
% 0.51/0.89 cnf('1.0.0.6',plain,
% 0.51/0.89 ( $true ),
% 0.51/0.89 inference(trivial,[status(thm)],['1.0.0.5',theory(equality)]),
% 0.51/0.89 [conjecture_1]).
% 0.51/0.89
% 0.51/0.89 Proved Goals:
% 0.51/0.89 No. 1: meet(join(a,b),join(a,c)) ?= join(a,meet(b,join(a,c))) joined, current: join(a,meet(c,b)) = join(a,meet(c,b))
% 0.51/0.89 1 goal was specified, which was proved.
% 0.51/0.89 % SZS output end CNFRefutation
% 0.51/0.89 #END OF PROOF
% 0.51/0.89
% 0.51/0.89 Problem WALDMEISTER_6330_n009
% 0.51/0.89 CPs.gen 3216
% 0.51/0.89 CPs.reexp 0
% 0.51/0.89 Select 228
% 0.51/0.89 R 78
% 0.51/0.89 E 2
% 0.51/0.89 vsize 6.5M
% 0.51/0.89 rss 3.8M
% 0.51/0.89 process.time 0.012s
% 0.51/0.89 wallclock.time 0.012s
% 0.51/0.89 status S
% 0.51/0.89
% 0.51/0.89
% 0.51/0.89 Waldmeister states: Goal proved.
% 0.51/0.89 % SZS status Unsatisfiable
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