TSTP Solution File: GRP152-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP152-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n008.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 12:24:58 EDT 2022
% Result : Unsatisfiable 0.56s 0.97s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP152-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13 % Command : woody %s
% 0.12/0.33 % Computer : n008.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 : Mon Jun 13 10:12:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.97 ********************************************************************************
% 0.56/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.97 * |/ | \/ | *
% 0.56/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.97 * A. Jaeger and B. Loechner | | *
% 0.56/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.97 ********************************************************************************
% 0.56/0.97
% 0.56/0.97
% 0.56/0.97 Goals:
% 0.56/0.97 ------
% 0.56/0.97
% 0.56/0.97 ( 1) least_upper_bound(a,b) ?=? least_upper_bound(b,least_upper_bound(a,b))
% 0.56/0.97
% 0.56/0.97 Detected structure: VerbandsgeordneteGruppe
% 0.56/0.97 ********************************************************************************
% 0.56/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.97 ********************************************************************************
% 0.56/0.97
% 0.56/0.97 joined goal: 1 least_upper_bound(a,b) ?= least_upper_bound(b,least_upper_bound(a,b)) to least_upper_bound(a,b)
% 0.56/0.97 goal joined
% 0.56/0.97 % SZS status Unsatisfiable
% 0.56/0.97 #START OF PROOF
% 0.56/0.97 % SZS output start CNFRefutation
% 0.56/0.97 cnf('0.4.0.0',axiom,
% 0.56/0.97 ( X1 = least_upper_bound(X1,X1) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_25995_n008')).
% 0.56/0.97 cnf('0.4.1.0',plain,
% 0.56/0.97 ( X1 = least_upper_bound(X1,X1) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.56/0.97 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.56/0.97 cnf('0.4.2.0',plain,
% 0.56/0.97 ( least_upper_bound(X1,X1) = X1 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_4]).
% 0.56/0.97 cnf('0.14.0.0',axiom,
% 0.56/0.97 ( least_upper_bound(X1,X2) = least_upper_bound(X2,X1) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_25995_n008')).
% 0.56/0.97 cnf('0.14.1.0',plain,
% 0.56/0.97 ( least_upper_bound(X1,X2) = least_upper_bound(X2,X1) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.56/0.97 [weight('<13,0,0,[0,0,0,14]>')]).
% 0.56/0.97 cnf('0.14.2.0',plain,
% 0.56/0.97 ( least_upper_bound(X1,X2) = least_upper_bound(X2,X1) ),
% 0.56/0.97 inference(activate,[status(thm)],['0.14.1.0']),
% 0.56/0.97 [equation_2]).
% 0.56/0.97 cnf('0.15.0.0',axiom,
% 0.56/0.97 ( least_upper_bound(X1,least_upper_bound(X2,X3)) = least_upper_bound(least_upper_bound(X1,X2),X3) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_25995_n008')).
% 0.56/0.97 cnf('0.15.1.0',plain,
% 0.56/0.97 ( least_upper_bound(X1,least_upper_bound(X2,X3)) = least_upper_bound(least_upper_bound(X1,X2),X3) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.56/0.97 [weight('<14,0,0,[0,0,0,15]>')]).
% 0.56/0.97 cnf('0.15.2.0',plain,
% 0.56/0.97 ( least_upper_bound(least_upper_bound(X1,X2),X3) = least_upper_bound(X1,least_upper_bound(X2,X3)) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_13]).
% 0.56/0.97 cnf('1.0.0.0',conjecture,
% 0.56/0.97 ( least_upper_bound(a,b) = least_upper_bound(b,least_upper_bound(a,b)) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_25995_n008',conjecture_1)).
% 0.56/0.97 cnf('1.0.0.1',plain,
% 0.56/0.97 ( least_upper_bound(a,b) = least_upper_bound(least_upper_bound(a,b),b) ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.14.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','L')]).
% 0.56/0.97 cnf('1.0.0.2',plain,
% 0.56/0.97 ( least_upper_bound(a,b) = least_upper_bound(a,least_upper_bound(b,b)) ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.1','0.15.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','L')]).
% 0.56/0.97 cnf('1.0.0.3',plain,
% 0.56/0.97 ( least_upper_bound(a,b) = least_upper_bound(a,b) ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.2','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('R.2','L')]).
% 0.56/0.97 cnf('1.0.0.4',plain,
% 0.56/0.97 ( $true ),
% 0.56/0.97 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.56/0.97 [conjecture_1]).
% 0.56/0.97
% 0.56/0.97 Proved Goals:
% 0.56/0.97 No. 1: least_upper_bound(a,b) ?= least_upper_bound(b,least_upper_bound(a,b)) joined, current: least_upper_bound(a,b) = least_upper_bound(a,b)
% 0.56/0.97 1 goal was specified, which was proved.
% 0.56/0.97 % SZS output end CNFRefutation
% 0.56/0.97 #END OF PROOF
% 0.56/0.97
% 0.56/0.97 Problem WALDMEISTER_25995_n008
% 0.56/0.97 CPs.gen 49
% 0.56/0.97 CPs.reexp 0
% 0.56/0.97 Select 15
% 0.56/0.97 R 13
% 0.56/0.97 E 2
% 0.56/0.97 vsize 6.5M
% 0.56/0.97 rss 3.7M
% 0.56/0.97 process.time 0.002s
% 0.56/0.97 wallclock.time 0.003s
% 0.56/0.97 status S
% 0.56/0.97
% 0.56/0.97
% 0.56/0.97 Waldmeister states: Goal proved.
% 0.56/0.97 % SZS status Unsatisfiable
% 0.56/0.97
% 0.56/0.97 Problem WALDMEISTER_25995_n008
% 0.56/0.97 CPs.gen 0
% 0.56/0.97 CPs.reexp 0
% 0.56/0.97 Select 0
% 0.56/0.97 R 0
% 0.56/0.97 E 0
% 0.56/0.97 vsize 6.0M
% 0.56/0.97 rss 3.2M
% 0.56/0.97 process.time 0.001s
% 0.56/0.97 wallclock.time 0.002s
% 0.56/0.97 status S
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