TSTP Solution File: GRP156-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP156-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n014.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 12:24:59 EDT 2022
% Result : Unsatisfiable 0.57s 0.97s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP156-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 13:32:36 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.97 * |/ | \/ | *
% 0.57/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.97 * A. Jaeger and B. Loechner | | *
% 0.57/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 Goals:
% 0.57/0.97 ------
% 0.57/0.97
% 0.57/0.97 ( 1) multiply(a,c) ?=? greatest_lower_bound(multiply(a,c),multiply(b,c))
% 0.57/0.97
% 0.57/0.97 Detected structure: VerbandsgeordneteGruppe
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.57/0.97 joined goal: 1 multiply(a,c) ?= greatest_lower_bound(multiply(a,c),multiply(b,c)) to multiply(a,c)
% 0.57/0.97 goal joined
% 0.57/0.97 % SZS status Unsatisfiable
% 0.57/0.97 #START OF PROOF
% 0.57/0.97 % SZS output start CNFRefutation
% 0.57/0.97 cnf('0.5.0.0',axiom,
% 0.57/0.97 ( X1 = greatest_lower_bound(X1,least_upper_bound(X1,X2)) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_21528_n014')).
% 0.57/0.97 cnf('0.5.1.0',plain,
% 0.57/0.97 ( X1 = greatest_lower_bound(X1,least_upper_bound(X1,X2)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.57/0.97 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.57/0.97 cnf('0.5.2.0',plain,
% 0.57/0.97 ( greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_5]).
% 0.57/0.97 cnf('0.9.0.0',axiom,
% 0.57/0.97 ( multiply(least_upper_bound(X1,X2),X3) = least_upper_bound(multiply(X1,X3),multiply(X2,X3)) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_21528_n014')).
% 0.57/0.97 cnf('0.9.1.0',plain,
% 0.57/0.97 ( multiply(least_upper_bound(X1,X2),X3) = least_upper_bound(multiply(X1,X3),multiply(X2,X3)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.57/0.97 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.57/0.97 cnf('0.9.2.0',plain,
% 0.57/0.97 ( multiply(least_upper_bound(X1,X2),X3) = least_upper_bound(multiply(X1,X3),multiply(X2,X3)) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_9]).
% 0.57/0.97 cnf('0.14.0.0',axiom,
% 0.57/0.97 ( least_upper_bound(a,b) = b ),
% 0.57/0.97 file('/tmp/WALDMEISTER_21528_n014')).
% 0.57/0.97 cnf('0.14.1.0',plain,
% 0.57/0.97 ( least_upper_bound(a,b) = b ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.57/0.97 [weight('<13,0,0,[0,0,0,14]>')]).
% 0.57/0.97 cnf('0.14.2.0',plain,
% 0.57/0.97 ( least_upper_bound(a,b) = b ),
% 0.57/0.97 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_13]).
% 0.57/0.97 cnf('1.0.0.0',conjecture,
% 0.57/0.97 ( multiply(a,c) = greatest_lower_bound(multiply(a,c),multiply(b,c)) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_21528_n014',conjecture_1)).
% 0.57/0.97 cnf('1.0.0.1',plain,
% 0.57/0.97 ( multiply(a,c) = greatest_lower_bound(multiply(a,c),multiply(least_upper_bound(a,b),c)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.14.2.0',theory(equality)]),
% 0.57/0.97 [pos('R.2.1','R')]).
% 0.57/0.97 cnf('1.0.0.2',plain,
% 0.57/0.97 ( multiply(a,c) = greatest_lower_bound(multiply(a,c),least_upper_bound(multiply(a,c),multiply(b,c))) ),
% 0.57/0.97 inference(reduction,[status(thm)],['1.0.0.1','0.9.2.0',theory(equality)]),
% 0.57/0.97 [pos('R.2','L')]).
% 0.57/0.97 cnf('1.0.0.3',plain,
% 0.57/0.97 ( multiply(a,c) = multiply(a,c) ),
% 0.57/0.97 inference(reduction,[status(thm)],['1.0.0.2','0.5.2.0',theory(equality)]),
% 0.57/0.97 [pos('R','L')]).
% 0.57/0.97 cnf('1.0.0.4',plain,
% 0.57/0.97 ( $true ),
% 0.57/0.97 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.57/0.97 [conjecture_1]).
% 0.57/0.97
% 0.57/0.97 Proved Goals:
% 0.57/0.97 No. 1: multiply(a,c) ?= greatest_lower_bound(multiply(a,c),multiply(b,c)) joined, current: multiply(a,c) = multiply(a,c)
% 0.57/0.97 1 goal was specified, which was proved.
% 0.57/0.97 % SZS output end CNFRefutation
% 0.57/0.97 #END OF PROOF
% 0.57/0.97
% 0.57/0.97 Problem WALDMEISTER_21528_n014
% 0.57/0.97 CPs.gen 44
% 0.57/0.97 CPs.reexp 0
% 0.57/0.97 Select 14
% 0.57/0.97 R 13
% 0.57/0.97 E 1
% 0.57/0.97 vsize 6.4M
% 0.57/0.97 rss 3.7M
% 0.57/0.97 process.time 0.002s
% 0.57/0.97 wallclock.time 0.003s
% 0.57/0.97 status S
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 Waldmeister states: Goal proved.
% 0.57/0.97 % SZS status Unsatisfiable
% 0.57/0.97
% 0.57/0.97 Problem WALDMEISTER_21528_n014
% 0.57/0.97 CPs.gen 0
% 0.57/0.97 CPs.reexp 0
% 0.57/0.97 Select 0
% 0.57/0.97 R 0
% 0.57/0.97 E 0
% 0.57/0.97 vsize 6.0M
% 0.57/0.97 rss 3.3M
% 0.57/0.97 process.time 0.001s
% 0.57/0.97 wallclock.time 0.002s
% 0.57/0.97 status S
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