TSTP Solution File: LAT008-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT008-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n004.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 07:14:38 EDT 2022
% Result : Unsatisfiable 0.58s 0.97s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT008-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n004.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 06:18:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.97 * |/ | \/ | *
% 0.58/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.97 * A. Jaeger and B. Loechner | | *
% 0.58/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.58/0.97
% 0.58/0.97 Goals:
% 0.58/0.97 ------
% 0.58/0.97
% 0.58/0.97 ( 1) join(a,meet(a,b)) ?=? a
% 0.58/0.97
% 0.58/0.97 Detected structure: Orkus
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.58/0.97 joined goal: 1 join(a,meet(a,b)) ?= a to a
% 0.58/0.97 goal joined
% 0.58/0.97 % SZS status Unsatisfiable
% 0.58/0.97 #START OF PROOF
% 0.58/0.97 % SZS output start CNFRefutation
% 0.58/0.97 cnf('0.1.0.0',axiom,
% 0.58/0.97 ( X1 = meet(X1,join(X1,X2)) ),
% 0.58/0.97 file('/tmp/WALDMEISTER_10682_n004')).
% 0.58/0.97 cnf('0.1.1.0',plain,
% 0.58/0.97 ( X1 = meet(X1,join(X1,X2)) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/0.97 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/0.97 cnf('0.1.2.0',plain,
% 0.58/0.97 ( meet(X1,join(X1,X2)) = X1 ),
% 0.58/0.97 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_1]).
% 0.58/0.97 cnf('0.2.0.0',axiom,
% 0.58/0.97 ( meet(X1,join(X2,X3)) = join(meet(X3,X1),meet(X2,X1)) ),
% 0.58/0.97 file('/tmp/WALDMEISTER_10682_n004')).
% 0.58/0.97 cnf('0.2.1.0',plain,
% 0.58/0.97 ( meet(X1,join(X2,X3)) = join(meet(X3,X1),meet(X2,X1)) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/0.97 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.58/0.97 cnf('0.2.2.0',plain,
% 0.58/0.97 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(X3,X1)) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_2]).
% 0.58/0.97 cnf('0.3.0.0',plain,
% 0.58/0.97 ( meet(join(X1,X2),join(X3,X1)) = join(X1,meet(X3,join(X1,X2))) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.1','L')]).
% 0.58/0.97 cnf('0.3.1.0',plain,
% 0.58/0.97 ( meet(join(X1,X2),join(X3,X1)) = join(X1,meet(X3,join(X1,X2))) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/0.97 [weight('<119,2,1,[1,0,0,1]>')]).
% 0.58/0.97 cnf('0.3.2.0',plain,
% 0.58/0.97 ( meet(join(X1,X2),join(X3,X1)) = join(X1,meet(X3,join(X1,X2))) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_3]).
% 0.58/0.97 cnf('0.5.0.0',plain,
% 0.58/0.97 ( meet(X1,X2) = meet(meet(X1,X2),meet(X2,join(X3,X1))) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2','L')]).
% 0.58/0.97 cnf('0.5.1.0',plain,
% 0.58/0.97 ( meet(X1,X2) = meet(meet(X1,X2),meet(X2,join(X3,X1))) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.58/0.97 [weight('<129,2,1,[0,0,0,2]>')]).
% 0.58/0.97 cnf('0.5.2.0',plain,
% 0.58/0.97 ( meet(meet(X1,X2),meet(X2,join(X3,X1))) = meet(X1,X2) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_5]).
% 0.58/0.97 cnf('0.6.0.0',plain,
% 0.58/0.97 ( meet(X1,X2) = meet(meet(X1,X2),X2) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2','L')]).
% 0.58/0.97 cnf('0.6.1.0',plain,
% 0.58/0.97 ( meet(X1,X2) = meet(meet(X1,X2),X2) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.58/0.97 [weight('<53,5,1,[1,0,0,4]>')]).
% 0.58/0.97 cnf('0.6.2.0',plain,
% 0.58/0.97 ( meet(meet(X1,X2),X2) = meet(X1,X2) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_6]).
% 0.58/0.97 cnf('0.7.0.0',plain,
% 0.58/0.97 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X3,X1),meet(X2,X1)) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.1','L')]).
% 0.58/0.97 cnf('0.7.0.1',plain,
% 0.58/0.97 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)) ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.7.0.0','0.2.2.0',theory(equality)]),
% 0.58/0.97 [pos('R','L')]).
% 0.58/0.97 cnf('0.7.1.0',plain,
% 0.58/0.97 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.58/0.97 [weight('<103,6,2,[0,0,0,1]>')]).
% 0.58/0.97 cnf('0.7.2.0',plain,
% 0.58/0.97 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_7]).
% 0.58/0.97 cnf('0.8.0.0',plain,
% 0.58/0.97 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X3,X1),meet(X2,X1)) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2','L')]).
% 0.58/0.97 cnf('0.8.0.1',plain,
% 0.58/0.97 ( meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,X3)) ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.8.0.0','0.2.2.0',theory(equality)]),
% 0.58/0.97 [pos('R','L')]).
% 0.58/0.97 cnf('0.8.1.0',plain,
% 0.58/0.97 ( meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,X3)) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.8.0.1']),
% 0.58/0.97 [weight('<103,6,2,[0,0,0,4]>')]).
% 0.58/0.97 cnf('0.8.2.0',plain,
% 0.58/0.97 ( meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,X3)) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_8]).
% 0.58/0.97 cnf('0.9.0.0',plain,
% 0.58/0.97 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,meet(X1,join(X3,X2))) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2','L')]).
% 0.58/0.97 cnf('0.9.0.1',plain,
% 0.58/0.97 ( meet(X1,join(X2,X3)) = meet(X1,meet(X1,join(X3,X2))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.9.0.0','0.7.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('0.9.1.0',plain,
% 0.58/0.97 ( meet(X1,join(X2,X3)) = meet(X1,meet(X1,join(X3,X2))) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.9.0.1']),
% 0.58/0.97 [weight('<103,8,2,[1,0,0,2]>')]).
% 0.58/0.97 cnf('0.9.2.0',plain,
% 0.58/0.97 ( meet(X1,meet(X1,join(X2,X3))) = meet(X1,join(X3,X2)) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_9]).
% 0.58/0.97 cnf('0.10.0.0',plain,
% 0.58/0.97 ( meet(X1,join(X2,X1)) = meet(X1,X1) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.9.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2','L')]).
% 0.58/0.97 cnf('0.10.1.0',plain,
% 0.58/0.97 ( meet(X1,join(X2,X1)) = meet(X1,X1) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.58/0.97 [weight('<53,9,1,[1,0,0,2]>')]).
% 0.58/0.97 cnf('0.10.2.0',plain,
% 0.58/0.97 ( meet(X1,join(X2,X1)) = meet(X1,X1) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_10]).
% 0.58/0.97 cnf('0.11.0.0',plain,
% 0.58/0.97 ( meet(X1,X1) = X1 ),
% 0.58/0.97 inference(cp,[status(thm)],['0.10.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('0.11.1.0',plain,
% 0.58/0.97 ( meet(X1,X1) = X1 ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.58/0.97 [weight('<19,10,1,[1,0,0,0]>')]).
% 0.58/0.97 cnf('0.11.2.0',plain,
% 0.58/0.97 ( meet(X1,X1) = X1 ),
% 0.58/0.97 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_11]).
% 0.58/0.97 cnf('0.12.0.0',plain,
% 0.58/0.97 ( meet(X1,join(X2,X1)) = meet(X1,X1) ),
% 0.58/0.97 inference(interreduction_right,[status(thm)],['0.10.2.0'])).
% 0.58/0.97 cnf('0.12.0.1',plain,
% 0.58/0.97 ( meet(X1,join(X2,X1)) = X1 ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.12.0.0','0.11.2.0',theory(equality)]),
% 0.58/0.97 [pos('R','L')]).
% 0.58/0.97 cnf('0.12.1.0',plain,
% 0.58/0.97 ( meet(X1,join(X2,X1)) = X1 ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.12.0.1']),
% 0.58/0.97 [weight('<41,10,11,[0,0,0,0]>')]).
% 0.58/0.97 cnf('0.12.2.0',plain,
% 0.58/0.97 ( meet(X1,join(X2,X1)) = X1 ),
% 0.58/0.97 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_12]).
% 0.58/0.97 cnf('0.13.0.0',plain,
% 0.58/0.97 ( meet(X1,join(X1,X2)) = join(meet(X2,X1),X1) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.2.2.0','0.11.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2','L')]).
% 0.58/0.97 cnf('0.13.0.1',plain,
% 0.58/0.97 ( X1 = join(meet(X2,X1),X1) ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.13.0.0','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('0.13.1.0',plain,
% 0.58/0.97 ( X1 = join(meet(X2,X1),X1) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.58/0.97 [weight('<41,11,2,[0,0,0,4]>')]).
% 0.58/0.97 cnf('0.13.2.0',plain,
% 0.58/0.97 ( join(meet(X1,X2),X2) = X2 ),
% 0.58/0.97 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_13]).
% 0.58/0.97 cnf('0.14.0.0',plain,
% 0.58/0.97 ( X1 = join(X1,X1) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.13.2.0','0.11.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.1','L')]).
% 0.58/0.97 cnf('0.14.1.0',plain,
% 0.58/0.97 ( X1 = join(X1,X1) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.58/0.97 [weight('<19,13,11,[1,0,0,1]>')]).
% 0.58/0.97 cnf('0.14.2.0',plain,
% 0.58/0.97 ( join(X1,X1) = X1 ),
% 0.58/0.97 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_14]).
% 0.58/0.97 cnf('0.15.0.0',plain,
% 0.58/0.97 ( join(X1,meet(X2,join(X1,X1))) = meet(X1,join(X2,X1)) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.3.2.0','0.14.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.1','L')]).
% 0.58/0.97 cnf('0.15.0.1',plain,
% 0.58/0.97 ( join(X1,meet(X2,X1)) = meet(X1,join(X2,X1)) ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.15.0.0','0.14.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2.2','L')]).
% 0.58/0.97 cnf('0.15.0.2',plain,
% 0.58/0.97 ( join(X1,meet(X2,X1)) = X1 ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.15.0.1','0.12.2.0',theory(equality)]),
% 0.58/0.97 [pos('R','L')]).
% 0.58/0.97 cnf('0.15.1.0',plain,
% 0.58/0.97 ( join(X1,meet(X2,X1)) = X1 ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.15.0.2']),
% 0.58/0.97 [weight('<41,14,3,[0,0,0,1]>')]).
% 0.58/0.97 cnf('0.15.2.0',plain,
% 0.58/0.97 ( join(X1,meet(X2,X1)) = X1 ),
% 0.58/0.97 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_15]).
% 0.58/0.97 cnf('0.17.0.0',plain,
% 0.58/0.97 ( meet(X1,X2) = meet(X2,join(X1,X1)) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.14.2.0','0.2.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('0.17.0.1',plain,
% 0.58/0.97 ( meet(X1,X2) = meet(X2,X1) ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.17.0.0','0.14.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.2','L')]).
% 0.58/0.97 cnf('0.17.1.0',plain,
% 0.58/0.97 ( meet(X1,X2) = meet(X2,X1) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.58/0.97 [weight('<48,14,2,[1,0,0,0]>')]).
% 0.58/0.97 cnf('0.17.2.0',plain,
% 0.58/0.97 ( meet(X1,X2) = meet(X2,X1) ),
% 0.58/0.97 inference(activate,[status(thm)],['0.17.1.0']),
% 0.58/0.97 [equation_1]).
% 0.58/0.97 cnf('1.0.0.0',conjecture,
% 0.58/0.97 ( join(a,meet(a,b)) = a ),
% 0.58/0.97 file('/tmp/WALDMEISTER_10682_n004',conjecture_1)).
% 0.58/0.97 cnf('1.0.0.1',plain,
% 0.58/0.97 ( join(a,meet(b,a)) = a ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.17.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2','L')]).
% 0.58/0.97 cnf('1.0.0.2',plain,
% 0.58/0.97 ( a = a ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.1','0.15.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('1.0.0.3',plain,
% 0.58/0.97 ( $true ),
% 0.58/0.97 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.58/0.97 [conjecture_1]).
% 0.58/0.97
% 0.58/0.97 Proved Goals:
% 0.58/0.97 No. 1: join(a,meet(a,b)) ?= a joined, current: a = a
% 0.58/0.97 1 goal was specified, which was proved.
% 0.58/0.97 % SZS output end CNFRefutation
% 0.58/0.97 #END OF PROOF
% 0.58/0.97
% 0.58/0.97 Problem WALDMEISTER_10682_n004
% 0.58/0.97 CPs.gen 174
% 0.58/0.97 CPs.reexp 0
% 0.58/0.97 Select 18
% 0.58/0.97 R 16
% 0.58/0.97 E 1
% 0.58/0.97 vsize 6.4M
% 0.58/0.97 rss 3.7M
% 0.58/0.97 process.time 0.003s
% 0.58/0.97 wallclock.time 0.003s
% 0.58/0.97 status S
% 0.58/0.97
% 0.58/0.97
% 0.58/0.97 Waldmeister states: Goal proved.
% 0.58/0.97 % SZS status Unsatisfiable
%------------------------------------------------------------------------------