TSTP Solution File: ALG235-1 by Waldmeister---710
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% File : Waldmeister---710
% Problem : ALG235-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n028.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 18:25:34 EDT 2022
% Result : Unsatisfiable 0.56s 0.95s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG235-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n028.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 : Wed Jun 8 16:05:46 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.56/0.95 ********************************************************************************
% 0.56/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.95 * |/ | \/ | *
% 0.56/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.95 * A. Jaeger and B. Loechner | | *
% 0.56/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.95 ********************************************************************************
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 Goals:
% 0.56/0.95 ------
% 0.56/0.95
% 0.56/0.95 ( 1) mult(a,mult(b,mult(a,mult(c,mult(d,c))))) ?=? mult(a,mult(b,mult(d,c)))
% 0.56/0.95
% 0.56/0.95 Detected structure: Orkus
% 0.56/0.95 ********************************************************************************
% 0.56/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.95 ********************************************************************************
% 0.56/0.95
% 0.56/0.95 joined goal: 1 mult(a,mult(b,mult(a,mult(c,mult(d,c))))) ?= mult(a,mult(b,mult(d,c))) to mult(d,mult(b,mult(a,c)))
% 0.56/0.95 goal joined
% 0.56/0.95 % SZS status Unsatisfiable
% 0.56/0.95 #START OF PROOF
% 0.56/0.95 % SZS output start CNFRefutation
% 0.56/0.95 cnf('0.1.0.0',axiom,
% 0.56/0.95 ( mult(X1,X2) = mult(X1,mult(X2,mult(X1,X2))) ),
% 0.56/0.95 file('/tmp/WALDMEISTER_31968_n028')).
% 0.56/0.95 cnf('0.1.1.0',plain,
% 0.56/0.95 ( mult(X1,X2) = mult(X1,mult(X2,mult(X1,X2))) ),
% 0.56/0.95 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.56/0.95 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.56/0.95 cnf('0.1.2.0',plain,
% 0.56/0.95 ( mult(X1,mult(X2,mult(X1,X2))) = mult(X1,X2) ),
% 0.56/0.95 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.56/0.95 [x,rule_1]).
% 0.56/0.95 cnf('0.2.0.0',axiom,
% 0.56/0.95 ( mult(X1,mult(X2,mult(X3,X4))) = mult(X3,mult(X2,mult(X1,X4))) ),
% 0.56/0.95 file('/tmp/WALDMEISTER_31968_n028')).
% 0.56/0.95 cnf('0.2.1.0',plain,
% 0.56/0.95 ( mult(X1,mult(X2,mult(X3,X4))) = mult(X3,mult(X2,mult(X1,X4))) ),
% 0.56/0.95 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.56/0.95 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.56/0.95 cnf('0.2.2.0',plain,
% 0.56/0.95 ( mult(X1,mult(X2,mult(X3,X4))) = mult(X3,mult(X2,mult(X1,X4))) ),
% 0.56/0.95 inference(activate,[status(thm)],['0.2.1.0']),
% 0.56/0.95 [equation_1]).
% 0.56/0.95 cnf('1.0.0.0',conjecture,
% 0.56/0.95 ( mult(a,mult(b,mult(a,mult(c,mult(d,c))))) = mult(a,mult(b,mult(d,c))) ),
% 0.56/0.95 file('/tmp/WALDMEISTER_31968_n028',conjecture_1)).
% 0.56/0.95 cnf('1.0.0.1',plain,
% 0.56/0.95 ( mult(a,mult(b,mult(d,mult(c,mult(a,c))))) = mult(a,mult(b,mult(d,c))) ),
% 0.56/0.95 inference(reduction,[status(thm)],['1.0.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.95 [pos('L.2.2','L')]).
% 0.56/0.95 cnf('1.0.0.2',plain,
% 0.56/0.95 ( mult(a,mult(b,mult(d,mult(c,mult(a,c))))) = mult(d,mult(b,mult(a,c))) ),
% 0.56/0.95 inference(reduction,[status(thm)],['1.0.0.1','0.2.2.0',theory(equality)]),
% 0.56/0.95 [pos('R','L')]).
% 0.56/0.95 cnf('1.0.0.3',plain,
% 0.56/0.95 ( mult(d,mult(b,mult(a,mult(c,mult(a,c))))) = mult(d,mult(b,mult(a,c))) ),
% 0.56/0.95 inference(reduction,[status(thm)],['1.0.0.2','0.2.2.0',theory(equality)]),
% 0.56/0.95 [pos('L','L')]).
% 0.56/0.95 cnf('1.0.0.4',plain,
% 0.56/0.95 ( mult(d,mult(b,mult(a,c))) = mult(d,mult(b,mult(a,c))) ),
% 0.56/0.95 inference(reduction,[status(thm)],['1.0.0.3','0.1.2.0',theory(equality)]),
% 0.56/0.95 [pos('L.2.2','L')]).
% 0.56/0.95 cnf('1.0.0.5',plain,
% 0.56/0.95 ( $true ),
% 0.56/0.95 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 0.56/0.95 [conjecture_1]).
% 0.56/0.95
% 0.56/0.95 Proved Goals:
% 0.56/0.95 No. 1: mult(a,mult(b,mult(a,mult(c,mult(d,c))))) ?= mult(a,mult(b,mult(d,c))) joined, current: mult(d,mult(b,mult(a,c))) = mult(d,mult(b,mult(a,c)))
% 0.56/0.95 1 goal was specified, which was proved.
% 0.56/0.95 % SZS output end CNFRefutation
% 0.56/0.95 #END OF PROOF
% 0.56/0.95
% 0.56/0.95 Problem WALDMEISTER_31968_n028
% 0.56/0.95 CPs.gen 1
% 0.56/0.95 CPs.reexp 0
% 0.56/0.95 Select 2
% 0.56/0.95 R 1
% 0.56/0.95 E 1
% 0.56/0.95 vsize 6.4M
% 0.56/0.95 rss 3.5M
% 0.56/0.95 process.time 0.001s
% 0.56/0.95 wallclock.time 0.001s
% 0.56/0.95 status S
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 Waldmeister states: Goal proved.
% 0.56/0.95 % SZS status Unsatisfiable
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