%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP145-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n032.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 12:24:56 EDT 2022
% Result : Unsatisfiable 0.46s 0.84s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP145-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.11 % Command : woody %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Tue Jun 14 14:16:28 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.46/0.84 ********************************************************************************
% 0.46/0.84 * W A L D M E I S T E R \| \ / \|/ *
% 0.46/0.84 * |/ | \/ | *
% 0.46/0.84 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.46/0.84 * A. Jaeger and B. Loechner | | *
% 0.46/0.84 * <waldmeister@informatik.uni-kl.de> | *
% 0.46/0.84 ********************************************************************************
% 0.46/0.84
% 0.46/0.84
% 0.46/0.84 Goals:
% 0.46/0.84 ------
% 0.46/0.84
% 0.46/0.84 ( 1) greatest_lower_bound(greatest_lower_bound(a,b),b) ?=? greatest_lower_bound(a,b)
% 0.46/0.84
% 0.46/0.84 Detected structure: VerbandsgeordneteGruppe
% 0.46/0.84 ********************************************************************************
% 0.46/0.84 ****************************** COMPLETION - PROOF ******************************
% 0.46/0.84 ********************************************************************************
% 0.46/0.84
% 0.46/0.84 joined goal: 1 greatest_lower_bound(greatest_lower_bound(a,b),b) ?= greatest_lower_bound(a,b) to greatest_lower_bound(a,b)
% 0.46/0.84 goal joined
% 0.46/0.84 % SZS status Unsatisfiable
% 0.46/0.84 #START OF PROOF
% 0.46/0.84 % SZS output start CNFRefutation
% 0.46/0.84 cnf('0.4.0.0',axiom,
% 0.46/0.84 ( X1 = greatest_lower_bound(X1,X1) ),
% 0.46/0.84 file('/tmp/WALDMEISTER_10586_n032')).
% 0.46/0.84 cnf('0.4.1.0',plain,
% 0.46/0.84 ( X1 = greatest_lower_bound(X1,X1) ),
% 0.46/0.84 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.46/0.84 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.46/0.84 cnf('0.4.2.0',plain,
% 0.46/0.84 ( greatest_lower_bound(X1,X1) = X1 ),
% 0.46/0.84 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.46/0.84 [x,rule_4]).
% 0.46/0.84 cnf('0.15.0.0',axiom,
% 0.46/0.84 ( greatest_lower_bound(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(greatest_lower_bound(X1,X2),X3) ),
% 0.46/0.84 file('/tmp/WALDMEISTER_10586_n032')).
% 0.46/0.84 cnf('0.15.1.0',plain,
% 0.46/0.84 ( greatest_lower_bound(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(greatest_lower_bound(X1,X2),X3) ),
% 0.46/0.84 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.46/0.84 [weight('<14,0,0,[0,0,0,15]>')]).
% 0.46/0.84 cnf('0.15.2.0',plain,
% 0.46/0.84 ( greatest_lower_bound(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(X1,greatest_lower_bound(X2,X3)) ),
% 0.46/0.84 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.46/0.84 [x,rule_13]).
% 0.46/0.84 cnf('1.0.0.0',conjecture,
% 0.46/0.84 ( greatest_lower_bound(greatest_lower_bound(a,b),b) = greatest_lower_bound(a,b) ),
% 0.46/0.84 file('/tmp/WALDMEISTER_10586_n032',conjecture_1)).
% 0.46/0.84 cnf('1.0.0.1',plain,
% 0.46/0.84 ( greatest_lower_bound(a,greatest_lower_bound(b,b)) = greatest_lower_bound(a,b) ),
% 0.46/0.84 inference(reduction,[status(thm)],['1.0.0.0','0.15.2.0',theory(equality)]),
% 0.46/0.84 [pos('L','L')]).
% 0.46/0.84 cnf('1.0.0.2',plain,
% 0.46/0.84 ( greatest_lower_bound(a,b) = greatest_lower_bound(a,b) ),
% 0.46/0.84 inference(reduction,[status(thm)],['1.0.0.1','0.4.2.0',theory(equality)]),
% 0.46/0.84 [pos('L.2','L')]).
% 0.46/0.84 cnf('1.0.0.3',plain,
% 0.46/0.84 ( $true ),
% 0.46/0.84 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.46/0.84 [conjecture_1]).
% 0.46/0.84
% 0.46/0.84 Proved Goals:
% 0.46/0.84 No. 1: greatest_lower_bound(greatest_lower_bound(a,b),b) ?= greatest_lower_bound(a,b) joined, current: greatest_lower_bound(a,b) = greatest_lower_bound(a,b)
% 0.46/0.84 1 goal was specified, which was proved.
% 0.46/0.84 % SZS output end CNFRefutation
% 0.46/0.84 #END OF PROOF
% 0.46/0.84
% 0.46/0.84 Problem WALDMEISTER_10586_n032
% 0.46/0.84 CPs.gen 49
% 0.46/0.84 CPs.reexp 0
% 0.46/0.84 Select 15
% 0.46/0.84 R 13
% 0.46/0.84 E 2
% 0.46/0.84 vsize 6.5M
% 0.46/0.84 rss 3.7M
% 0.46/0.84 process.time 0.002s
% 0.46/0.84 wallclock.time 0.002s
% 0.46/0.84 status S
% 0.46/0.84
% 0.46/0.84
% 0.46/0.84 Waldmeister states: Goal proved.
% 0.46/0.84 % SZS status Unsatisfiable
% 0.46/0.84
% 0.46/0.84 Problem WALDMEISTER_10586_n032
% 0.46/0.84 CPs.gen 0
% 0.46/0.84 CPs.reexp 0
% 0.46/0.84 Select 0
% 0.46/0.84 R 0
% 0.46/0.84 E 0
% 0.46/0.84 vsize 6.0M
% 0.46/0.84 rss 3.2M
% 0.46/0.84 process.time 0.001s
% 0.46/0.84 wallclock.time 0.002s
% 0.46/0.84 status S
%------------------------------------------------------------------------------