TSTP Solution File: COL058-3 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL058-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n019.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 : Fri Jul 15 00:47:37 EDT 2022
% Result : Unsatisfiable 0.58s 0.97s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL058-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue May 31 15:04:55 EDT 2022
% 0.12/0.34 % 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) response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) ?=? response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))
% 0.58/0.97
% 0.58/0.97 Detected structure: Orkus
% 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 response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) ?= response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) to response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark)))
% 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('0.1.0.0',axiom,
% 0.58/0.97 ( response(X1,response(X2,X2)) = response(response(lark,X1),X2) ),
% 0.58/0.97 file('/tmp/WALDMEISTER_19001_n019')).
% 0.58/0.97 cnf('0.1.1.0',plain,
% 0.58/0.97 ( response(X1,response(X2,X2)) = response(response(lark,X1),X2) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/0.97 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/0.97 cnf('0.1.2.0',plain,
% 0.58/0.97 ( response(X1,response(X2,X2)) = response(response(lark,X1),X2) ),
% 0.58/0.97 inference(activate,[status(thm)],['0.1.1.0']),
% 0.58/0.97 [equation_1]).
% 0.58/0.97 cnf('1.0.0.0',conjecture,
% 0.58/0.97 ( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) ),
% 0.58/0.97 file('/tmp/WALDMEISTER_19001_n019',conjecture_1)).
% 0.58/0.97 cnf('1.0.0.1',plain,
% 0.58/0.97 ( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(response(lark,lark),lark)) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.2','L')]).
% 0.58/0.97 cnf('1.0.0.2',plain,
% 0.58/0.97 ( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(response(lark,lark),lark))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(response(lark,lark),lark)) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.1','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2.2','L')]).
% 0.58/0.97 cnf('1.0.0.3',plain,
% 0.58/0.97 ( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(response(lark,lark),lark))) = response(response(response(lark,lark),response(response(lark,lark),lark)),response(response(lark,lark),lark)) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.2','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.1.2','L')]).
% 0.58/0.97 cnf('1.0.0.4',plain,
% 0.58/0.97 ( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(response(lark,lark),lark)),response(response(lark,lark),lark))) = response(response(response(lark,lark),response(response(lark,lark),lark)),response(response(lark,lark),lark)) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.3','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2.1.2','L')]).
% 0.58/0.97 cnf('1.0.0.5',plain,
% 0.58/0.97 ( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(response(lark,lark),lark)),response(response(lark,lark),lark))) = response(response(lark,response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(response(lark,lark),lark)) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.4','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.1','R')]).
% 0.58/0.97 cnf('1.0.0.6',plain,
% 0.58/0.97 ( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(response(lark,lark),lark))) = response(response(lark,response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(response(lark,lark),lark)) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.5','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2.1','R')]).
% 0.58/0.97 cnf('1.0.0.7',plain,
% 0.58/0.97 ( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(response(lark,lark),lark))) = response(response(lark,response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(lark,response(lark,lark))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.6','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.2','R')]).
% 0.58/0.97 cnf('1.0.0.8',plain,
% 0.58/0.97 ( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(lark,response(lark,lark)))) = response(response(lark,response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(lark,response(lark,lark))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.7','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2.2','R')]).
% 0.58/0.97 cnf('1.0.0.9',plain,
% 0.58/0.97 ( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(response(lark,lark),lark),response(response(lark,lark),lark))),response(lark,response(lark,lark)))) = response(response(lark,response(response(lark,response(lark,lark)),response(response(lark,lark),lark))),response(lark,response(lark,lark))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.8','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.1.2.1','R')]).
% 0.58/0.97 cnf('1.0.0.10',plain,
% 0.58/0.97 ( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(response(lark,lark),lark),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(lark,response(response(lark,response(lark,lark)),response(response(lark,lark),lark))),response(lark,response(lark,lark))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.9','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2.1.2.2','R')]).
% 0.58/0.97 cnf('1.0.0.11',plain,
% 0.58/0.97 ( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(response(lark,lark),lark),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))) = response(response(lark,response(response(lark,response(lark,lark)),response(response(lark,lark),lark))),response(lark,response(lark,lark))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.10','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2','R')]).
% 0.58/0.97 cnf('1.0.0.12',plain,
% 0.58/0.97 ( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))) = response(response(lark,response(response(lark,response(lark,lark)),response(response(lark,lark),lark))),response(lark,response(lark,lark))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.11','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2.1.1','R')]).
% 0.58/0.97 cnf('1.0.0.13',plain,
% 0.58/0.97 ( response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) = response(response(lark,response(response(lark,response(lark,lark)),response(response(lark,lark),lark))),response(lark,response(lark,lark))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.12','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('1.0.0.14',plain,
% 0.58/0.97 ( response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(lark,response(response(lark,response(lark,lark)),response(response(lark,lark),lark))),response(lark,response(lark,lark))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.13','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('1.0.0.15',plain,
% 0.58/0.97 ( response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(lark,response(response(lark,lark),response(response(response(lark,lark),lark),response(response(lark,lark),lark)))),response(lark,response(lark,lark))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.14','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.1.2','R')]).
% 0.58/0.97 cnf('1.0.0.16',plain,
% 0.58/0.97 ( response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(lark,response(response(lark,lark),response(response(response(lark,lark),lark),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.15','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.1.2.2.2','R')]).
% 0.58/0.97 cnf('1.0.0.17',plain,
% 0.58/0.97 ( response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(lark,response(lark,response(response(response(response(lark,lark),lark),response(lark,response(lark,lark))),response(response(response(lark,lark),lark),response(lark,response(lark,lark)))))),response(lark,response(lark,lark))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.16','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.1.2','R')]).
% 0.58/0.97 cnf('1.0.0.18',plain,
% 0.58/0.97 ( response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(lark,response(lark,response(response(response(response(lark,lark),lark),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))))),response(lark,response(lark,lark))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.17','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.1.2.2.2.1','R')]).
% 0.58/0.97 cnf('1.0.0.19',plain,
% 0.58/0.97 ( response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(lark,response(lark,response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))))),response(lark,response(lark,lark))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.18','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.1.2.2.1.1','R')]).
% 0.58/0.97 cnf('1.0.0.20',plain,
% 0.58/0.97 ( response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(lark,response(lark,response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.19','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.1.2.2','L')]).
% 0.58/0.97 cnf('1.0.0.21',plain,
% 0.58/0.97 ( response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.20','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.1.2.2.1','L')]).
% 0.58/0.97 cnf('1.0.0.22',plain,
% 0.58/0.97 ( $true ),
% 0.58/0.97 inference(trivial,[status(thm)],['1.0.0.21',theory(equality)]),
% 0.58/0.97 [conjecture_1]).
% 0.58/0.97
% 0.58/0.97 Proved Goals:
% 0.58/0.97 No. 1: response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) ?= response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) joined, current: response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark)))
% 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_19001_n019
% 0.58/0.97 CPs.gen 0
% 0.58/0.97 CPs.reexp 0
% 0.58/0.97 Select 1
% 0.58/0.97 R 0
% 0.58/0.97 E 1
% 0.58/0.97 vsize 6.4M
% 0.58/0.97 rss 3.4M
% 0.58/0.97 process.time 0.003s
% 0.58/0.97 wallclock.time 0.003s
% 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
%------------------------------------------------------------------------------