TSTP Solution File: LAT012-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT012-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n011.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 07:14:41 EDT 2022
% Result : Unsatisfiable 0.94s 1.31s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT012-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n011.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 13:29:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.99 * |/ | \/ | *
% 0.59/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.99 * A. Jaeger and B. Loechner | | *
% 0.59/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.59/0.99
% 0.59/0.99 Goals:
% 0.59/0.99 ------
% 0.59/0.99
% 0.59/0.99 ( 1) meet(b,a) ?=? meet(a,b)
% 0.59/0.99
% 0.59/0.99 Detected structure: Orkus
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.94/1.31 joined goal: 1 meet(b,a) ?= meet(a,b) to meet(a,b)
% 0.94/1.31 goal joined
% 0.94/1.31 % SZS status Unsatisfiable
% 0.94/1.31 #START OF PROOF
% 0.94/1.31 % SZS output start CNFRefutation
% 0.94/1.31 cnf('0.1.0.0',axiom,
% 0.94/1.31 ( X1 = join(X1,meet(X2,meet(X1,X3))) ),
% 0.94/1.31 file('/tmp/WALDMEISTER_24025_n011')).
% 0.94/1.31 cnf('0.1.1.0',plain,
% 0.94/1.31 ( X1 = join(X1,meet(X2,meet(X1,X3))) ),
% 0.94/1.31 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.94/1.31 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.94/1.31 cnf('0.1.2.0',plain,
% 0.94/1.31 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 0.94/1.31 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.94/1.31 [x,rule_1]).
% 0.94/1.31 cnf('0.2.0.0',axiom,
% 0.94/1.31 ( X1 = join(join(meet(X2,X1),meet(X1,X3)),X1) ),
% 0.94/1.31 file('/tmp/WALDMEISTER_24025_n011')).
% 0.94/1.31 cnf('0.2.1.0',plain,
% 0.94/1.31 ( X1 = join(join(meet(X2,X1),meet(X1,X3)),X1) ),
% 0.94/1.31 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.94/1.31 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.94/1.31 cnf('0.2.2.0',plain,
% 0.94/1.31 ( join(join(meet(X1,X2),meet(X2,X3)),X2) = X2 ),
% 0.94/1.31 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.94/1.31 [x,rule_2]).
% 0.94/1.31 cnf('0.3.0.0',axiom,
% 0.94/1.31 ( X1 = meet(X1,join(X2,join(X1,X3))) ),
% 0.94/1.31 file('/tmp/WALDMEISTER_24025_n011')).
% 0.94/1.31 cnf('0.3.1.0',plain,
% 0.94/1.31 ( X1 = meet(X1,join(X2,join(X1,X3))) ),
% 0.94/1.31 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.94/1.31 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.94/1.31 cnf('0.3.2.0',plain,
% 0.94/1.31 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 0.94/1.31 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.94/1.31 [x,rule_3]).
% 0.94/1.31 cnf('0.4.0.0',axiom,
% 0.94/1.31 ( X1 = meet(meet(join(X2,X1),join(X1,X3)),X1) ),
% 0.94/1.31 file('/tmp/WALDMEISTER_24025_n011')).
% 0.94/1.31 cnf('0.4.1.0',plain,
% 0.94/1.31 ( X1 = meet(meet(join(X2,X1),join(X1,X3)),X1) ),
% 0.94/1.31 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.94/1.31 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.94/1.31 cnf('0.4.2.0',plain,
% 0.94/1.31 ( meet(meet(join(X1,X2),join(X2,X3)),X2) = X2 ),
% 0.94/1.31 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.94/1.31 [x,rule_4]).
% 0.94/1.31 cnf('0.5.0.0',plain,
% 0.94/1.31 ( X1 = join(meet(X2,X1),X1) ),
% 0.94/1.31 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.94/1.31 [pos('L.1','L')]).
% 0.94/1.31 cnf('0.5.1.0',plain,
% 0.94/1.31 ( X1 = join(meet(X2,X1),X1) ),
% 0.94/1.31 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.94/1.31 [weight('<41,2,1,[1,0,0,1]>')]).
% 0.94/1.31 cnf('0.5.2.0',plain,
% 0.94/1.31 ( join(meet(X1,X2),X2) = X2 ),
% 0.94/1.31 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.94/1.31 [x,rule_5]).
% 0.94/1.31 cnf('0.7.0.0',plain,
% 0.94/1.31 ( X1 = join(X1,meet(X2,X1)) ),
% 0.94/1.31 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.94/1.31 [pos('L.2.2','L')]).
% 0.94/1.31 cnf('0.7.1.0',plain,
% 0.94/1.31 ( X1 = join(X1,meet(X2,X1)) ),
% 0.94/1.31 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.94/1.31 [weight('<41,3,1,[0,0,0,4]>')]).
% 0.94/1.31 cnf('0.7.2.0',plain,
% 0.94/1.31 ( join(X1,meet(X2,X1)) = X1 ),
% 0.94/1.31 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.94/1.31 [x,rule_7]).
% 0.94/1.31 cnf('0.8.0.0',plain,
% 0.94/1.31 ( X1 = meet(X1,join(X2,X1)) ),
% 0.94/1.31 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.94/1.31 [pos('L.2.2','L')]).
% 0.94/1.31 cnf('0.8.1.0',plain,
% 0.94/1.31 ( X1 = meet(X1,join(X2,X1)) ),
% 0.94/1.31 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.94/1.31 [weight('<41,3,1,[1,0,0,4]>')]).
% 0.94/1.31 cnf('0.8.2.0',plain,
% 0.94/1.31 ( meet(X1,join(X2,X1)) = X1 ),
% 0.94/1.31 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.94/1.31 [x,rule_8]).
% 0.94/1.31 cnf('0.11.0.0',plain,
% 0.94/1.31 ( X1 = join(X1,meet(X1,X2)) ),
% 0.94/1.31 inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 0.94/1.31 [pos('L.2','L')]).
% 0.94/1.31 cnf('0.11.1.0',plain,
% 0.94/1.31 ( X1 = join(X1,meet(X1,X2)) ),
% 0.94/1.31 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.94/1.31 [weight('<41,4,1,[0,0,0,2]>')]).
% 0.94/1.31 cnf('0.11.2.0',plain,
% 0.94/1.31 ( join(X1,meet(X1,X2)) = X1 ),
% 0.94/1.31 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.94/1.31 [x,rule_11]).
% 0.94/1.31 cnf('0.13.0.0',plain,
% 0.94/1.31 ( join(X1,X2) = join(X2,join(X1,X2)) ),
% 0.94/1.31 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 0.94/1.31 [pos('L.1','L')]).
% 0.94/1.31 cnf('0.13.1.0',plain,
% 0.94/1.31 ( join(X1,X2) = join(X2,join(X1,X2)) ),
% 0.94/1.31 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.94/1.31 [weight('<53,8,5,[0,0,0,1]>')]).
% 0.94/1.31 cnf('0.13.2.0',plain,
% 0.94/1.31 ( join(X1,join(X2,X1)) = join(X2,X1) ),
% 0.94/1.31 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.94/1.31 [x,rule_13]).
% 0.94/1.31 cnf('0.20.0.0',plain,
% 0.94/1.31 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 0.94/1.31 inference(cp,[status(thm)],['0.8.2.0','0.11.2.0',theory(equality)]),
% 0.94/1.31 [pos('L.2','L')]).
% 0.94/1.31 cnf('0.20.1.0',plain,
% 0.94/1.31 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 0.94/1.31 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.94/1.31 [weight('<53,11,8,[0,0,0,2]>')]).
% 0.94/1.31 cnf('0.20.2.0',plain,
% 0.94/1.31 ( meet(meet(X1,X2),X1) = meet(X1,X2) ),
% 0.94/1.31 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.94/1.31 [x,rule_20]).
% 0.94/1.31 cnf('0.70.0.0',plain,
% 0.94/1.31 ( X1 = meet(meet(join(X2,X1),join(X3,X1)),X1) ),
% 0.94/1.31 inference(cp,[status(thm)],['0.4.2.0','0.13.2.0',theory(equality)]),
% 0.94/1.31 [pos('L.1.2','L')]).
% 0.94/1.31 cnf('0.70.1.0',plain,
% 0.94/1.31 ( X1 = meet(meet(join(X2,X1),join(X3,X1)),X1) ),
% 0.94/1.31 inference(weigh,[status(thm)],['0.70.0.0']),
% 0.94/1.31 [weight('<109,13,4,[0,0,0,5]>')]).
% 0.94/1.31 cnf('0.70.2.0',plain,
% 0.94/1.31 ( meet(meet(join(X1,X2),join(X3,X2)),X2) = X2 ),
% 0.94/1.31 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.94/1.31 [x,rule_70]).
% 0.94/1.31 cnf('0.370.0.0',plain,
% 0.94/1.31 ( meet(X1,X2) = meet(meet(X2,join(X3,meet(X1,X2))),meet(X1,X2)) ),
% 0.94/1.31 inference(cp,[status(thm)],['0.70.2.0','0.7.2.0',theory(equality)]),
% 0.94/1.31 [pos('L.1.1','L')]).
% 0.94/1.31 cnf('0.370.1.0',plain,
% 0.94/1.31 ( meet(X1,X2) = meet(meet(X2,join(X3,meet(X1,X2))),meet(X1,X2)) ),
% 0.94/1.31 inference(weigh,[status(thm)],['0.370.0.0']),
% 0.94/1.31 [weight('<179,70,7,[1,0,0,2]>')]).
% 0.94/1.31 cnf('0.370.2.0',plain,
% 0.94/1.31 ( meet(meet(X1,join(X2,meet(X3,X1))),meet(X3,X1)) = meet(X3,X1) ),
% 0.94/1.31 inference(orient,[status(thm)],['0.370.1.0',theory(equality)]),
% 0.94/1.31 [x,rule_360]).
% 0.94/1.31 cnf('0.371.0.0',plain,
% 0.94/1.31 ( meet(X1,X2) = meet(meet(X2,X1),meet(X1,X2)) ),
% 0.94/1.31 inference(cp,[status(thm)],['0.370.2.0','0.11.2.0',theory(equality)]),
% 0.94/1.31 [pos('L.1.2','L')]).
% 0.94/1.31 cnf('0.371.1.0',plain,
% 0.94/1.31 ( meet(X1,X2) = meet(meet(X2,X1),meet(X1,X2)) ),
% 0.94/1.31 inference(weigh,[status(thm)],['0.371.0.0']),
% 0.94/1.31 [weight('<87,370,11,[1,0,0,3]>')]).
% 0.94/1.31 cnf('0.371.2.0',plain,
% 0.94/1.31 ( meet(meet(X1,X2),meet(X2,X1)) = meet(X2,X1) ),
% 0.94/1.31 inference(orient,[status(thm)],['0.371.1.0',theory(equality)]),
% 0.94/1.31 [x,rule_361]).
% 0.94/1.31 cnf('0.372.0.0',plain,
% 0.94/1.31 ( meet(meet(X1,X2),meet(X2,X1)) = meet(meet(X2,X1),meet(X1,X2)) ),
% 0.94/1.31 inference(cp,[status(thm)],['0.20.2.0','0.371.2.0',theory(equality)]),
% 0.94/1.31 [pos('L.1','L')]).
% 0.94/1.31 cnf('0.372.0.1',plain,
% 0.94/1.31 ( meet(X2,X1) = meet(meet(X2,X1),meet(X1,X2)) ),
% 0.94/1.31 inference(reduction,[status(thm)],['0.372.0.0','0.371.2.0',theory(equality)]),
% 0.94/1.31 [pos('L','L')]).
% 0.94/1.31 cnf('0.372.0.2',plain,
% 0.94/1.31 ( meet(X2,X1) = meet(X1,X2) ),
% 0.94/1.31 inference(reduction,[status(thm)],['0.372.0.1','0.371.2.0',theory(equality)]),
% 0.94/1.31 [pos('R','L')]).
% 0.94/1.31 cnf('0.372.1.0',plain,
% 0.94/1.31 ( meet(X2,X1) = meet(X1,X2) ),
% 0.94/1.31 inference(weigh,[status(thm)],['0.372.0.2']),
% 0.94/1.31 [weight('<48,371,20,[0,0,0,1]>')]).
% 0.94/1.31 cnf('0.372.2.0',plain,
% 0.94/1.31 ( meet(X1,X2) = meet(X2,X1) ),
% 0.94/1.31 inference(activate,[status(thm)],['0.372.1.0']),
% 0.94/1.31 [equation_11]).
% 0.94/1.31 cnf('1.0.0.0',conjecture,
% 0.94/1.31 ( meet(b,a) = meet(a,b) ),
% 0.94/1.31 file('/tmp/WALDMEISTER_24025_n011',conjecture_1)).
% 0.94/1.31 cnf('1.0.0.1',plain,
% 0.94/1.31 ( meet(a,b) = meet(a,b) ),
% 0.94/1.31 inference(reduction,[status(thm)],['1.0.0.0','0.372.2.0',theory(equality)]),
% 0.94/1.31 [pos('L','L')]).
% 0.94/1.31 cnf('1.0.0.2',plain,
% 0.94/1.31 ( $true ),
% 0.94/1.31 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.94/1.31 [conjecture_1]).
% 0.94/1.31
% 0.94/1.31 Proved Goals:
% 0.94/1.31 No. 1: meet(b,a) ?= meet(a,b) joined, current: meet(a,b) = meet(a,b)
% 0.94/1.31 1 goal was specified, which was proved.
% 0.94/1.31 % SZS output end CNFRefutation
% 0.94/1.31 #END OF PROOF
% 0.94/1.31
% 0.94/1.31 Problem WALDMEISTER_24025_n011
% 0.94/1.31 CPs.gen 120679
% 0.94/1.31 CPs.reexp 0
% 0.94/1.31 Select 8587
% 0.94/1.31 R 361
% 0.94/1.31 E 11
% 0.94/1.31 vsize 6.4M
% 0.94/1.31 rss 4.0M
% 0.94/1.31 process.time 0.321s
% 0.94/1.31 wallclock.time 0.321s
% 0.94/1.31 status S
% 0.94/1.31
% 0.94/1.31
% 0.94/1.31 Waldmeister states: Goal proved.
% 0.94/1.31 % SZS status Unsatisfiable
%------------------------------------------------------------------------------