TSTP Solution File: RNG011-5 by Waldmeister---710
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% File : Waldmeister---710
% Problem : RNG011-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n027.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 : Mon Jul 18 20:47:24 EDT 2022
% Result : Unsatisfiable 0.57s 0.96s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG011-5 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n027.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 May 30 20:07:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.96 * |/ | \/ | *
% 0.57/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.96 * A. Jaeger and B. Loechner | | *
% 0.57/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.96
% 0.57/0.96 Goals:
% 0.57/0.96 ------
% 0.57/0.96
% 0.57/0.96 ( 1) multiply(multiply(associator(a,a,b),a),associator(a,a,b)) ?=? additive_identity
% 0.57/0.96
% 0.57/0.96 Detected structure: NichtassoziativerRing
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.96 joined goal: 1 multiply(multiply(associator(a,a,b),a),associator(a,a,b)) ?= additive_identity to additive_identity
% 0.57/0.96 goal joined
% 0.57/0.96 % SZS status Unsatisfiable
% 0.57/0.96 #START OF PROOF
% 0.57/0.96 % SZS output start CNFRefutation
% 0.57/0.96 cnf('0.10.0.0',axiom,
% 0.57/0.96 ( multiply(multiply(associator(X1,X1,X2),X1),associator(X1,X1,X2)) = additive_identity ),
% 0.57/0.96 file('/tmp/WALDMEISTER_2640_n027')).
% 0.57/0.96 cnf('0.10.1.0',plain,
% 0.57/0.96 ( multiply(multiply(associator(X1,X1,X2),X1),associator(X1,X1,X2)) = additive_identity ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.57/0.96 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.57/0.96 cnf('0.10.2.0',plain,
% 0.57/0.96 ( multiply(multiply(associator(X1,X1,X2),X1),associator(X1,X1,X2)) = additive_identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_10]).
% 0.57/0.96 cnf('1.0.0.0',conjecture,
% 0.57/0.96 ( multiply(multiply(associator(a,a,b),a),associator(a,a,b)) = additive_identity ),
% 0.57/0.96 file('/tmp/WALDMEISTER_2640_n027',conjecture_1)).
% 0.57/0.96 cnf('1.0.0.1',plain,
% 0.57/0.96 ( additive_identity = additive_identity ),
% 0.57/0.96 inference(reduction,[status(thm)],['1.0.0.0','0.10.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('1.0.0.2',plain,
% 0.57/0.96 ( $true ),
% 0.57/0.96 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.57/0.96 [conjecture_1]).
% 0.57/0.96
% 0.57/0.96 Proved Goals:
% 0.57/0.96 No. 1: multiply(multiply(associator(a,a,b),a),associator(a,a,b)) ?= additive_identity joined, current: additive_identity = additive_identity
% 0.57/0.96 1 goal was specified, which was proved.
% 0.57/0.96 % SZS output end CNFRefutation
% 0.57/0.96 #END OF PROOF
% 0.57/0.96
% 0.57/0.96 Problem WALDMEISTER_2640_n027
% 0.57/0.96 CPs.gen 20
% 0.57/0.96 CPs.reexp 0
% 0.57/0.96 Select 10
% 0.57/0.96 R 10
% 0.57/0.96 E 0
% 0.57/0.96 vsize 6.5M
% 0.57/0.96 rss 3.6M
% 0.57/0.96 process.time 0.002s
% 0.57/0.96 wallclock.time 0.002s
% 0.57/0.96 status S
% 0.57/0.96
% 0.57/0.96
% 0.57/0.96 Waldmeister states: Goal proved.
% 0.57/0.96 % SZS status Unsatisfiable
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