TSTP Solution File: LAT032-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT032-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n025.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 07:14:49 EDT 2022
% Result : Unsatisfiable 0.54s 0.95s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LAT032-1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n025.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 23:44:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.94 ********************************************************************************
% 0.54/0.94 * W A L D M E I S T E R \| \ / \|/ *
% 0.54/0.94 * |/ | \/ | *
% 0.54/0.94 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.54/0.94 * A. Jaeger and B. Loechner | | *
% 0.54/0.94 * <waldmeister@informatik.uni-kl.de> | *
% 0.54/0.94 ********************************************************************************
% 0.54/0.94
% 0.54/0.94
% 0.54/0.94 Goals:
% 0.54/0.94 ------
% 0.54/0.94
% 0.54/0.94 ( 1) join(meet(xx,yy),meet(xx,zz)) ?=? meet(xx,join(yy,zz))
% 0.54/0.94
% 0.54/0.94 Detected structure: Verband
% 0.54/0.94 ********************************************************************************
% 0.54/0.94 ****************************** COMPLETION - PROOF ******************************
% 0.54/0.94 ********************************************************************************
% 0.54/0.94
% 0.54/0.95 joined goal: 1 join(meet(xx,yy),meet(xx,zz)) ?= meet(xx,join(yy,zz)) to meet(xx,join(zz,yy))
% 0.54/0.95 goal joined
% 0.54/0.95 % SZS status Unsatisfiable
% 0.54/0.95 #START OF PROOF
% 0.54/0.95 % SZS output start CNFRefutation
% 0.54/0.95 cnf('0.2.0.0',axiom,
% 0.54/0.95 ( X1 = join(X1,meet(X1,X2)) ),
% 0.54/0.95 file('/tmp/WALDMEISTER_13462_n025')).
% 0.54/0.95 cnf('0.2.1.0',plain,
% 0.54/0.95 ( X1 = join(X1,meet(X1,X2)) ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.54/0.95 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.54/0.95 cnf('0.2.2.0',plain,
% 0.54/0.95 ( join(X1,meet(X1,X2)) = X1 ),
% 0.54/0.95 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.54/0.95 [x,rule_2]).
% 0.54/0.95 cnf('0.4.0.0',axiom,
% 0.54/0.95 ( X1 = meet(X1,join(X1,X2)) ),
% 0.54/0.95 file('/tmp/WALDMEISTER_13462_n025')).
% 0.54/0.95 cnf('0.4.1.0',plain,
% 0.54/0.95 ( X1 = meet(X1,join(X1,X2)) ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.54/0.95 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.54/0.95 cnf('0.4.2.0',plain,
% 0.54/0.95 ( meet(X1,join(X1,X2)) = X1 ),
% 0.54/0.95 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.54/0.95 [x,rule_4]).
% 0.54/0.95 cnf('0.5.0.0',axiom,
% 0.54/0.95 ( join(X1,X2) = join(X2,X1) ),
% 0.54/0.95 file('/tmp/WALDMEISTER_13462_n025')).
% 0.54/0.95 cnf('0.5.1.0',plain,
% 0.54/0.95 ( join(X1,X2) = join(X2,X1) ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.54/0.95 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.54/0.95 cnf('0.5.2.0',plain,
% 0.54/0.95 ( join(X1,X2) = join(X2,X1) ),
% 0.54/0.95 inference(activate,[status(thm)],['0.5.1.0']),
% 0.54/0.95 [equation_1]).
% 0.54/0.95 cnf('0.7.0.0',axiom,
% 0.54/0.95 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 0.54/0.95 file('/tmp/WALDMEISTER_13462_n025')).
% 0.54/0.95 cnf('0.7.1.0',plain,
% 0.54/0.95 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.54/0.95 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.54/0.95 cnf('0.7.2.0',plain,
% 0.54/0.95 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,X3)) ),
% 0.54/0.95 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.54/0.95 [x,rule_6]).
% 0.54/0.95 cnf('0.9.0.0',axiom,
% 0.54/0.95 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 0.54/0.95 file('/tmp/WALDMEISTER_13462_n025')).
% 0.54/0.95 cnf('0.9.1.0',plain,
% 0.54/0.95 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.54/0.95 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.54/0.95 cnf('0.9.2.0',plain,
% 0.54/0.95 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 0.54/0.95 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.54/0.95 [x,rule_7]).
% 0.54/0.95 cnf('0.18.0.0',plain,
% 0.54/0.95 ( join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,X3)) ),
% 0.54/0.95 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 0.54/0.95 [pos('L.1','L')]).
% 0.54/0.95 cnf('0.18.1.0',plain,
% 0.54/0.95 ( join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,X3)) ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.54/0.95 [weight('<7,7,5,[1,0,0,1]>')]).
% 0.54/0.95 cnf('0.18.2.0',plain,
% 0.54/0.95 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(X1,X3)) ),
% 0.54/0.95 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.54/0.95 [x,rule_16]).
% 0.54/0.95 cnf('0.20.0.0',plain,
% 0.54/0.95 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 0.54/0.95 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 0.54/0.95 [pos('L.1','L')]).
% 0.54/0.95 cnf('0.20.1.0',plain,
% 0.54/0.95 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.54/0.95 [weight('<7,9,4,[1,0,0,1]>')]).
% 0.54/0.95 cnf('0.20.2.0',plain,
% 0.54/0.95 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 0.54/0.95 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.54/0.95 [u,rule_18]).
% 0.54/0.95 cnf('0.35.0.0',plain,
% 0.54/0.95 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),X3)) ),
% 0.54/0.95 inference(cp,[status(thm)],['0.18.2.0','0.2.2.0',theory(equality)]),
% 0.54/0.95 [pos('L.1','L')]).
% 0.54/0.95 cnf('0.35.1.0',plain,
% 0.54/0.95 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),X3)) ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.54/0.95 [weight('<7,18,2,[1,0,0,1]>')]).
% 0.54/0.95 cnf('0.35.2.0',plain,
% 0.54/0.95 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),X3)) ),
% 0.54/0.95 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.54/0.95 [u,rule_33]).
% 0.54/0.95 cnf('0.43.0.0',plain,
% 0.54/0.95 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(X1,X3))) ),
% 0.54/0.95 inference(cp,[status(thm)],['0.20.2.0','0.18.2.0',theory(equality)]),
% 0.54/0.95 [pos('L.2','L')]).
% 0.54/0.95 cnf('0.43.1.0',plain,
% 0.54/0.95 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(X1,X3))) ),
% 0.54/0.95 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.54/0.95 [weight('<7,20,18,[1,0,0,2]>')]).
% 0.54/0.95 cnf('0.43.2.0',plain,
% 0.54/0.95 ( meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,X3)) ),
% 0.54/0.95 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.54/0.95 [x,rule_41]).
% 0.54/0.95 cnf('1.0.0.0',conjecture,
% 0.54/0.95 ( join(meet(xx,yy),meet(xx,zz)) = meet(xx,join(yy,zz)) ),
% 0.54/0.95 file('/tmp/WALDMEISTER_13462_n025',conjecture_1)).
% 0.54/0.95 cnf('1.0.0.1',plain,
% 0.54/0.95 ( meet(xx,join(meet(xx,yy),zz)) = meet(xx,join(yy,zz)) ),
% 0.54/0.95 inference(reduction,[status(thm)],['1.0.0.0','0.35.2.0',theory(equality)]),
% 0.54/0.95 [pos('L','L')]).
% 0.54/0.95 cnf('1.0.0.2',plain,
% 0.54/0.95 ( meet(xx,join(zz,meet(xx,yy))) = meet(xx,join(yy,zz)) ),
% 0.54/0.95 inference(reduction,[status(thm)],['1.0.0.1','0.5.2.0',theory(equality)]),
% 0.54/0.95 [pos('L.2','L')]).
% 0.54/0.95 cnf('1.0.0.3',plain,
% 0.54/0.95 ( meet(xx,join(zz,yy)) = meet(xx,join(yy,zz)) ),
% 0.54/0.95 inference(reduction,[status(thm)],['1.0.0.2','0.43.2.0',theory(equality)]),
% 0.54/0.95 [pos('L','L')]).
% 0.54/0.95 cnf('1.0.0.4',plain,
% 0.54/0.95 ( meet(xx,join(zz,yy)) = meet(xx,join(zz,yy)) ),
% 0.54/0.95 inference(reduction,[status(thm)],['1.0.0.3','0.5.2.0',theory(equality)]),
% 0.54/0.95 [pos('R.2','L')]).
% 0.54/0.95 cnf('1.0.0.5',plain,
% 0.54/0.95 ( $true ),
% 0.54/0.95 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 0.54/0.95 [conjecture_1]).
% 0.54/0.95
% 0.54/0.95 Proved Goals:
% 0.54/0.95 No. 1: join(meet(xx,yy),meet(xx,zz)) ?= meet(xx,join(yy,zz)) joined, current: meet(xx,join(zz,yy)) = meet(xx,join(zz,yy))
% 0.54/0.95 1 goal was specified, which was proved.
% 0.54/0.95 % SZS output end CNFRefutation
% 0.54/0.95 #END OF PROOF
% 0.54/0.95
% 0.54/0.95 Problem WALDMEISTER_13462_n025
% 0.54/0.95 CPs.gen 1330
% 0.54/0.95 CPs.reexp 0
% 0.54/0.95 Select 89
% 0.54/0.95 R 41
% 0.54/0.95 E 2
% 0.54/0.95 vsize 6.5M
% 0.54/0.95 rss 3.8M
% 0.54/0.95 process.time 0.007s
% 0.54/0.95 wallclock.time 0.007s
% 0.54/0.95 status S
% 0.54/0.95
% 0.54/0.95
% 0.54/0.95 Waldmeister states: Goal proved.
% 0.54/0.95 % SZS status Unsatisfiable
%------------------------------------------------------------------------------