TSTP Solution File: GRP161-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP161-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n029.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 : Sat Jul 16 12:25:00 EDT 2022
% Result : Unsatisfiable 0.55s 0.95s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP161-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : woody %s
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jun 13 09:54:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.55/0.95 ********************************************************************************
% 0.55/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.55/0.95 * |/ | \/ | *
% 0.55/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.55/0.95 * A. Jaeger and B. Loechner | | *
% 0.55/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.55/0.95 ********************************************************************************
% 0.55/0.95
% 0.55/0.95
% 0.55/0.95 Goals:
% 0.55/0.95 ------
% 0.55/0.95
% 0.55/0.95 ( 1) greatest_lower_bound(a,a) ?=? a
% 0.55/0.95
% 0.55/0.95 Detected structure: VerbandsgeordneteGruppe
% 0.55/0.95 ********************************************************************************
% 0.55/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.55/0.95 ********************************************************************************
% 0.55/0.95
% 0.55/0.95 joined goal: 1 greatest_lower_bound(a,a) ?= a to a
% 0.55/0.95 goal joined
% 0.55/0.95 % SZS status Unsatisfiable
% 0.55/0.95 #START OF PROOF
% 0.55/0.95 % SZS output start CNFRefutation
% 0.55/0.95 cnf('0.4.0.0',axiom,
% 0.55/0.95 ( X1 = greatest_lower_bound(X1,X1) ),
% 0.55/0.95 file('/tmp/WALDMEISTER_10332_n029')).
% 0.55/0.95 cnf('0.4.1.0',plain,
% 0.55/0.95 ( X1 = greatest_lower_bound(X1,X1) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.55/0.95 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.55/0.95 cnf('0.4.2.0',plain,
% 0.55/0.95 ( greatest_lower_bound(X1,X1) = X1 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_4]).
% 0.55/0.95 cnf('1.0.0.0',conjecture,
% 0.55/0.95 ( greatest_lower_bound(a,a) = a ),
% 0.55/0.95 file('/tmp/WALDMEISTER_10332_n029',conjecture_1)).
% 0.55/0.95 cnf('1.0.0.1',plain,
% 0.55/0.95 ( a = a ),
% 0.55/0.95 inference(reduction,[status(thm)],['1.0.0.0','0.4.2.0',theory(equality)]),
% 0.55/0.95 [pos('L','L')]).
% 0.55/0.95 cnf('1.0.0.2',plain,
% 0.55/0.95 ( $true ),
% 0.55/0.95 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.55/0.95 [conjecture_1]).
% 0.55/0.95
% 0.55/0.95 Proved Goals:
% 0.55/0.95 No. 1: greatest_lower_bound(a,a) ?= a joined, current: a = a
% 0.55/0.95 1 goal was specified, which was proved.
% 0.55/0.95 % SZS output end CNFRefutation
% 0.55/0.95 #END OF PROOF
% 0.55/0.95
% 0.55/0.95 Problem WALDMEISTER_10332_n029
% 0.55/0.95 CPs.gen 0
% 0.55/0.95 CPs.reexp 0
% 0.55/0.95 Select 4
% 0.55/0.95 R 4
% 0.55/0.95 E 0
% 0.55/0.95 vsize 6.5M
% 0.55/0.95 rss 3.7M
% 0.55/0.95 process.time 0.002s
% 0.55/0.95 wallclock.time 0.003s
% 0.55/0.95 status S
% 0.55/0.95
% 0.55/0.95
% 0.55/0.95 Waldmeister states: Goal proved.
% 0.55/0.95 % SZS status Unsatisfiable
% 0.55/0.95
% 0.55/0.95 Problem WALDMEISTER_10332_n029
% 0.55/0.95 CPs.gen 0
% 0.55/0.95 CPs.reexp 0
% 0.55/0.95 Select 0
% 0.55/0.95 R 0
% 0.55/0.95 E 0
% 0.55/0.95 vsize 6.0M
% 0.55/0.95 rss 3.2M
% 0.55/0.95 process.time 0.001s
% 0.55/0.95 wallclock.time 0.002s
% 0.55/0.95 status S
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