TSTP Solution File: GRP671-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP671-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n010.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 12:27:48 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
% 0.00/0.12 % Problem : GRP671-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 08:37:39 EDT 2022
% 0.13/0.34 % 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) mult(mult(a,b),a) ?=? mult(a,mult(b,a))
% 0.57/0.97
% 0.57/0.97 Detected structure: Loop
% 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 mult(mult(a,b),a) ?= mult(a,mult(b,a)) to mult(a,mult(b,a))
% 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('0.2.0.0',axiom,
% 0.57/0.97 ( X1 = mult(X1,unit) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_18125_n010')).
% 0.57/0.97 cnf('0.2.1.0',plain,
% 0.57/0.97 ( X1 = mult(X1,unit) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.57/0.97 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.57/0.97 cnf('0.2.2.0',plain,
% 0.57/0.97 ( mult(X1,unit) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_2]).
% 0.57/0.97 cnf('0.4.0.0',axiom,
% 0.57/0.97 ( X1 = mult(unit,X1) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_18125_n010')).
% 0.57/0.97 cnf('0.4.1.0',plain,
% 0.57/0.97 ( X1 = mult(unit,X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.57/0.97 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.57/0.97 cnf('0.4.2.0',plain,
% 0.57/0.97 ( mult(unit,X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_4]).
% 0.57/0.97 cnf('0.9.0.0',axiom,
% 0.57/0.97 ( mult(mult(X1,X2),mult(X3,mult(X1,X2))) = mult(mult(mult(X1,mult(X2,X3)),X1),X2) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_18125_n010')).
% 0.57/0.97 cnf('0.9.1.0',plain,
% 0.57/0.97 ( mult(mult(X1,X2),mult(X3,mult(X1,X2))) = mult(mult(mult(X1,mult(X2,X3)),X1),X2) ),
% 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 ( mult(mult(mult(X1,mult(X2,X3)),X1),X2) = mult(mult(X1,X2),mult(X3,mult(X1,X2))) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_9]).
% 0.57/0.97 cnf('0.37.0.0',plain,
% 0.57/0.97 ( mult(mult(X1,unit),mult(X2,mult(X1,unit))) = mult(mult(X1,mult(unit,X2)),X1) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.9.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.37.0.1',plain,
% 0.57/0.97 ( mult(X1,mult(X2,mult(X1,unit))) = mult(mult(X1,mult(unit,X2)),X1) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.37.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.37.0.2',plain,
% 0.57/0.97 ( mult(X1,mult(X2,X1)) = mult(mult(X1,mult(unit,X2)),X1) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.37.0.1','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2.2','L')]).
% 0.57/0.97 cnf('0.37.0.3',plain,
% 0.57/0.97 ( mult(X1,mult(X2,X1)) = mult(mult(X1,X2),X1) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.37.0.2','0.4.2.0',theory(equality)]),
% 0.57/0.97 [pos('R.1.2','L')]).
% 0.57/0.97 cnf('0.37.1.0',plain,
% 0.57/0.97 ( mult(X1,mult(X2,X1)) = mult(mult(X1,X2),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.37.0.3']),
% 0.57/0.97 [weight('<65,9,2,[1,0,0,0]>')]).
% 0.57/0.97 cnf('0.37.2.0',plain,
% 0.57/0.97 ( mult(mult(X1,X2),X1) = mult(X1,mult(X2,X1)) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_37]).
% 0.57/0.97 cnf('1.0.0.0',conjecture,
% 0.57/0.97 ( mult(mult(a,b),a) = mult(a,mult(b,a)) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_18125_n010',conjecture_1)).
% 0.57/0.97 cnf('1.0.0.1',plain,
% 0.57/0.97 ( mult(a,mult(b,a)) = mult(a,mult(b,a)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.37.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('1.0.0.2',plain,
% 0.57/0.97 ( $true ),
% 0.57/0.97 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.57/0.97 [conjecture_1]).
% 0.57/0.97
% 0.57/0.97 Proved Goals:
% 0.57/0.97 No. 1: mult(mult(a,b),a) ?= mult(a,mult(b,a)) joined, current: mult(a,mult(b,a)) = mult(a,mult(b,a))
% 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_18125_n010
% 0.57/0.97 CPs.gen 277
% 0.57/0.97 CPs.reexp 0
% 0.57/0.97 Select 58
% 0.57/0.97 R 37
% 0.57/0.97 E 0
% 0.57/0.97 vsize 6.5M
% 0.57/0.97 rss 3.8M
% 0.57/0.97 process.time 0.003s
% 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
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