TSTP Solution File: BOO018-4 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO018-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n022.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 : Thu Jul 14 23:52:51 EDT 2022
% Result : Unsatisfiable 0.58s 0.97s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : BOO018-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n022.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 1 21:40:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.97 * |/ | \/ | *
% 0.58/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.97 * A. Jaeger and B. Loechner | | *
% 0.58/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.58/0.97
% 0.58/0.97 Goals:
% 0.58/0.97 ------
% 0.58/0.97
% 0.58/0.97 ( 1) additive_identity ?=? inverse(multiplicative_identity)
% 0.58/0.97
% 0.58/0.97 Detected structure: BoolescheAlgebra
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.58/0.97 joined goal: 1 additive_identity ?= inverse(multiplicative_identity) to additive_identity
% 0.58/0.97 goal joined
% 0.58/0.97 % SZS status Unsatisfiable
% 0.58/0.97 #START OF PROOF
% 0.58/0.97 % SZS output start CNFRefutation
% 0.58/0.97 cnf('0.2.0.0',axiom,
% 0.58/0.97 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.58/0.97 file('/tmp/WALDMEISTER_27715_n022')).
% 0.58/0.97 cnf('0.2.1.0',plain,
% 0.58/0.97 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/0.97 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.58/0.97 cnf('0.2.2.0',plain,
% 0.58/0.97 ( multiply(X1,multiplicative_identity) = X1 ),
% 0.58/0.97 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_2]).
% 0.58/0.97 cnf('0.7.0.0',axiom,
% 0.58/0.97 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.58/0.97 file('/tmp/WALDMEISTER_27715_n022')).
% 0.58/0.97 cnf('0.7.1.0',plain,
% 0.58/0.97 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.58/0.97 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.58/0.97 cnf('0.7.2.0',plain,
% 0.58/0.97 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.58/0.97 inference(activate,[status(thm)],['0.7.1.0']),
% 0.58/0.97 [equation_2]).
% 0.58/0.97 cnf('0.8.0.0',axiom,
% 0.58/0.97 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.58/0.97 file('/tmp/WALDMEISTER_27715_n022')).
% 0.58/0.97 cnf('0.8.1.0',plain,
% 0.58/0.97 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.58/0.97 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.58/0.97 cnf('0.8.2.0',plain,
% 0.58/0.97 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.58/0.97 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_6]).
% 0.58/0.97 cnf('0.11.0.0',plain,
% 0.58/0.97 ( multiply(multiplicative_identity,X1) = X1 ),
% 0.58/0.97 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('0.11.1.0',plain,
% 0.58/0.97 ( multiply(multiplicative_identity,X1) = X1 ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.58/0.97 [weight('<3,7,2,[1,0,0,0]>')]).
% 0.58/0.97 cnf('0.11.2.0',plain,
% 0.58/0.97 ( multiply(multiplicative_identity,X1) = X1 ),
% 0.58/0.97 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_9]).
% 0.58/0.97 cnf('0.12.0.0',plain,
% 0.58/0.97 ( inverse(multiplicative_identity) = additive_identity ),
% 0.58/0.97 inference(cp,[status(thm)],['0.11.2.0','0.8.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('0.12.1.0',plain,
% 0.58/0.97 ( inverse(multiplicative_identity) = additive_identity ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.58/0.97 [weight('<2,11,8,[1,0,0,0]>')]).
% 0.58/0.97 cnf('0.12.2.0',plain,
% 0.58/0.97 ( inverse(multiplicative_identity) = additive_identity ),
% 0.58/0.97 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_10]).
% 0.58/0.97 cnf('1.0.0.0',conjecture,
% 0.58/0.97 ( additive_identity = inverse(multiplicative_identity) ),
% 0.58/0.97 file('/tmp/WALDMEISTER_27715_n022',conjecture_1)).
% 0.58/0.97 cnf('1.0.0.1',plain,
% 0.58/0.97 ( additive_identity = additive_identity ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.12.2.0',theory(equality)]),
% 0.58/0.97 [pos('R','L')]).
% 0.58/0.97 cnf('1.0.0.2',plain,
% 0.58/0.97 ( $true ),
% 0.58/0.97 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.58/0.97 [conjecture_1]).
% 0.58/0.97
% 0.58/0.97 Proved Goals:
% 0.58/0.97 No. 1: additive_identity ?= inverse(multiplicative_identity) joined, current: additive_identity = additive_identity
% 0.58/0.97 1 goal was specified, which was proved.
% 0.58/0.97 % SZS output end CNFRefutation
% 0.58/0.97 #END OF PROOF
% 0.58/0.97
% 0.58/0.97 Problem WALDMEISTER_27715_n022
% 0.58/0.97 CPs.gen 34
% 0.58/0.97 CPs.reexp 0
% 0.58/0.97 Select 12
% 0.58/0.97 R 10
% 0.58/0.97 E 2
% 0.58/0.97 vsize 6.5M
% 0.58/0.97 rss 3.5M
% 0.58/0.97 process.time 0.002s
% 0.58/0.97 wallclock.time 0.002s
% 0.58/0.97 status S
% 0.58/0.97
% 0.58/0.97
% 0.58/0.97 Waldmeister states: Goal proved.
% 0.58/0.97 % SZS status Unsatisfiable
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