TSTP Solution File: LAT014-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT014-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n006.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 07:14:43 EDT 2022
% Result : Unsatisfiable 0.58s 0.98s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT014-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n006.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 15:36:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.98 * |/ | \/ | *
% 0.58/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.98 * A. Jaeger and B. Loechner | | *
% 0.58/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.98
% 0.58/0.98 Goals:
% 0.58/0.98 ------
% 0.58/0.98
% 0.58/0.98 ( 1) meet(a,join(a,b)) ?=? a
% 0.58/0.98
% 0.58/0.98 Detected structure: Orkus
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.98 joined goal: 1 meet(a,join(a,b)) ?= a to a
% 0.58/0.98 goal joined
% 0.58/0.98 % SZS status Unsatisfiable
% 0.58/0.98 #START OF PROOF
% 0.58/0.98 % SZS output start CNFRefutation
% 0.58/0.98 cnf('0.1.0.0',axiom,
% 0.58/0.98 ( X1 = meet(X1,join(X2,join(X1,X3))) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_21741_n006')).
% 0.58/0.98 cnf('0.1.1.0',plain,
% 0.58/0.98 ( X1 = meet(X1,join(X2,join(X1,X3))) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/0.98 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/0.98 cnf('0.1.2.0',plain,
% 0.58/0.98 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_1]).
% 0.58/0.98 cnf('0.4.0.0',axiom,
% 0.58/0.98 ( X1 = join(join(meet(X2,X1),meet(X1,X3)),X1) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_21741_n006')).
% 0.58/0.98 cnf('0.4.1.0',plain,
% 0.58/0.98 ( X1 = join(join(meet(X2,X1),meet(X1,X3)),X1) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.58/0.98 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.58/0.98 cnf('0.4.2.0',plain,
% 0.58/0.98 ( join(join(meet(X1,X2),meet(X2,X3)),X2) = X2 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_4]).
% 0.58/0.98 cnf('0.11.0.0',plain,
% 0.58/0.98 ( X1 = meet(X1,join(X1,X2)) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2','L')]).
% 0.58/0.98 cnf('0.11.1.0',plain,
% 0.58/0.98 ( X1 = meet(X1,join(X1,X2)) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.58/0.98 [weight('<41,4,1,[0,0,0,2]>')]).
% 0.58/0.98 cnf('0.11.2.0',plain,
% 0.58/0.98 ( meet(X1,join(X1,X2)) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_11]).
% 0.58/0.98 cnf('1.0.0.0',conjecture,
% 0.58/0.98 ( meet(a,join(a,b)) = a ),
% 0.58/0.98 file('/tmp/WALDMEISTER_21741_n006',conjecture_1)).
% 0.58/0.98 cnf('1.0.0.1',plain,
% 0.58/0.98 ( a = a ),
% 0.58/0.98 inference(reduction,[status(thm)],['1.0.0.0','0.11.2.0',theory(equality)]),
% 0.58/0.98 [pos('L','L')]).
% 0.58/0.98 cnf('1.0.0.2',plain,
% 0.58/0.98 ( $true ),
% 0.58/0.98 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.58/0.98 [conjecture_1]).
% 0.58/0.98
% 0.58/0.98 Proved Goals:
% 0.58/0.98 No. 1: meet(a,join(a,b)) ?= a joined, current: a = a
% 0.58/0.98 1 goal was specified, which was proved.
% 0.58/0.98 % SZS output end CNFRefutation
% 0.58/0.98 #END OF PROOF
% 0.58/0.98
% 0.58/0.98 Problem WALDMEISTER_21741_n006
% 0.58/0.98 CPs.gen 63
% 0.58/0.98 CPs.reexp 0
% 0.58/0.98 Select 13
% 0.58/0.98 R 11
% 0.58/0.98 E 0
% 0.58/0.98 vsize 6.4M
% 0.58/0.98 rss 3.7M
% 0.58/0.98 process.time 0.002s
% 0.58/0.98 wallclock.time 0.002s
% 0.58/0.98 status S
% 0.58/0.98
% 0.58/0.98
% 0.58/0.98 Waldmeister states: Goal proved.
% 0.58/0.98 % SZS status Unsatisfiable
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