TSTP Solution File: BOO011-4 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO011-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n026.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 23:52:49 EDT 2022
% Result : Unsatisfiable 0.62s 1.01s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO011-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.00/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n026.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 20:05:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.62/1.01 ********************************************************************************
% 0.62/1.01 * W A L D M E I S T E R \| \ / \|/ *
% 0.62/1.01 * |/ | \/ | *
% 0.62/1.01 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.62/1.01 * A. Jaeger and B. Loechner | | *
% 0.62/1.01 * <waldmeister@informatik.uni-kl.de> | *
% 0.62/1.01 ********************************************************************************
% 0.62/1.01
% 0.62/1.01
% 0.62/1.01 Goals:
% 0.62/1.01 ------
% 0.62/1.01
% 0.62/1.01 ( 1) multiplicative_identity ?=? inverse(additive_identity)
% 0.62/1.01
% 0.62/1.01 Detected structure: BoolescheAlgebra
% 0.62/1.01 ********************************************************************************
% 0.62/1.01 ****************************** COMPLETION - PROOF ******************************
% 0.62/1.01 ********************************************************************************
% 0.62/1.01
% 0.62/1.01 joined goal: 1 multiplicative_identity ?= inverse(additive_identity) to multiplicative_identity
% 0.62/1.01 goal joined
% 0.62/1.01 % SZS status Unsatisfiable
% 0.62/1.01 #START OF PROOF
% 0.62/1.01 % SZS output start CNFRefutation
% 0.62/1.01 cnf('0.2.0.0',axiom,
% 0.62/1.01 ( X1 = add(X1,additive_identity) ),
% 0.62/1.01 file('/tmp/WALDMEISTER_26751_n026')).
% 0.62/1.01 cnf('0.2.1.0',plain,
% 0.62/1.01 ( X1 = add(X1,additive_identity) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.62/1.01 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.62/1.01 cnf('0.2.2.0',plain,
% 0.62/1.01 ( add(X1,additive_identity) = X1 ),
% 0.62/1.01 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_2]).
% 0.62/1.01 cnf('0.7.0.0',axiom,
% 0.62/1.01 ( add(X1,X2) = add(X2,X1) ),
% 0.62/1.01 file('/tmp/WALDMEISTER_26751_n026')).
% 0.62/1.01 cnf('0.7.1.0',plain,
% 0.62/1.01 ( add(X1,X2) = add(X2,X1) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.62/1.01 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.62/1.01 cnf('0.7.2.0',plain,
% 0.62/1.01 ( add(X1,X2) = add(X2,X1) ),
% 0.62/1.01 inference(activate,[status(thm)],['0.7.1.0']),
% 0.62/1.01 [equation_2]).
% 0.62/1.01 cnf('0.8.0.0',axiom,
% 0.62/1.01 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.62/1.01 file('/tmp/WALDMEISTER_26751_n026')).
% 0.62/1.01 cnf('0.8.1.0',plain,
% 0.62/1.01 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.62/1.01 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.62/1.01 cnf('0.8.2.0',plain,
% 0.62/1.01 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.62/1.01 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.62/1.01 [u,rule_6]).
% 0.62/1.01 cnf('0.11.0.0',plain,
% 0.62/1.01 ( add(additive_identity,X1) = X1 ),
% 0.62/1.01 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('L','L')]).
% 0.62/1.01 cnf('0.11.1.0',plain,
% 0.62/1.01 ( add(additive_identity,X1) = X1 ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.62/1.01 [weight('<3,7,2,[1,0,0,0]>')]).
% 0.62/1.01 cnf('0.11.2.0',plain,
% 0.62/1.01 ( add(additive_identity,X1) = X1 ),
% 0.62/1.01 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.62/1.01 [u,rule_9]).
% 0.62/1.01 cnf('0.12.0.0',plain,
% 0.62/1.01 ( inverse(additive_identity) = multiplicative_identity ),
% 0.62/1.01 inference(cp,[status(thm)],['0.11.2.0','0.8.2.0',theory(equality)]),
% 0.62/1.01 [pos('L','L')]).
% 0.62/1.01 cnf('0.12.1.0',plain,
% 0.62/1.01 ( inverse(additive_identity) = multiplicative_identity ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.62/1.01 [weight('<2,11,8,[1,0,0,0]>')]).
% 0.62/1.01 cnf('0.12.2.0',plain,
% 0.62/1.01 ( inverse(additive_identity) = multiplicative_identity ),
% 0.62/1.01 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.62/1.01 [u,rule_10]).
% 0.62/1.01 cnf('1.0.0.0',conjecture,
% 0.62/1.01 ( multiplicative_identity = inverse(additive_identity) ),
% 0.62/1.01 file('/tmp/WALDMEISTER_26751_n026',conjecture_1)).
% 0.62/1.01 cnf('1.0.0.1',plain,
% 0.62/1.01 ( multiplicative_identity = multiplicative_identity ),
% 0.62/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.12.2.0',theory(equality)]),
% 0.62/1.01 [pos('R','L')]).
% 0.62/1.01 cnf('1.0.0.2',plain,
% 0.62/1.01 ( $true ),
% 0.62/1.01 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.62/1.01 [conjecture_1]).
% 0.62/1.01
% 0.62/1.01 Proved Goals:
% 0.62/1.01 No. 1: multiplicative_identity ?= inverse(additive_identity) joined, current: multiplicative_identity = multiplicative_identity
% 0.62/1.01 1 goal was specified, which was proved.
% 0.62/1.01 % SZS output end CNFRefutation
% 0.62/1.01 #END OF PROOF
% 0.62/1.01
% 0.62/1.01 Problem WALDMEISTER_26751_n026
% 0.62/1.01 CPs.gen 34
% 0.62/1.01 CPs.reexp 0
% 0.62/1.01 Select 12
% 0.62/1.01 R 10
% 0.62/1.01 E 2
% 0.62/1.01 vsize 6.5M
% 0.62/1.01 rss 3.5M
% 0.62/1.01 process.time 0.002s
% 0.62/1.01 wallclock.time 0.002s
% 0.62/1.01 status S
% 0.62/1.01
% 0.62/1.01
% 0.62/1.01 Waldmeister states: Goal proved.
% 0.62/1.01 % SZS status Unsatisfiable
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