TSTP Solution File: LAT394-2 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT394-2 : TPTP v8.1.0. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n024.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 : Sun Jul 17 07:17:39 EDT 2022
% Result : Unsatisfiable 0.58s 1.02s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT394-2 : TPTP v8.1.0. Released v5.4.0.
% 0.06/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n024.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 29 20:14:00 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.56/0.94 ********************************************************************************
% 0.56/0.94 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.94 * |/ | \/ | *
% 0.56/0.94 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.94 * A. Jaeger and B. Loechner | | *
% 0.56/0.94 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.94 ********************************************************************************
% 0.56/0.94
% 0.56/0.94
% 0.56/0.94 Goals:
% 0.56/0.94 ------
% 0.56/0.94
% 0.56/0.94 ( 1) f(x0,f(x0,x0)) ?=? f(x1,f(x1,x1))
% 0.56/0.94
% 0.56/0.94 Detected structure: Orkus
% 0.56/0.94 ********************************************************************************
% 0.56/0.94 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.94 ********************************************************************************
% 0.56/0.94
% 0.58/1.01 joined goal: 1 f(x0,f(x0,x0)) ?= f(x1,f(x1,x1)) to f(x1,f(x1,x1))
% 0.58/1.01 goal joined
% 0.58/1.02 % SZS status Unsatisfiable
% 0.58/1.02 #START OF PROOF
% 0.58/1.02 % SZS output start CNFRefutation
% 0.58/1.02 cnf('0.1.0.0',axiom,
% 0.58/1.02 ( X1 = f(f(f(f(X2,X1),f(X1,X3)),X4),f(X1,f(f(X1,f(f(X2,X2),X2)),X3))) ),
% 0.58/1.02 file('/tmp/WALDMEISTER_425_n024')).
% 0.58/1.02 cnf('0.1.1.0',plain,
% 0.58/1.02 ( X1 = f(f(f(f(X2,X1),f(X1,X3)),X4),f(X1,f(f(X1,f(f(X2,X2),X2)),X3))) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/1.02 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/1.02 cnf('0.1.2.0',plain,
% 0.58/1.02 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))) = X2 ),
% 0.58/1.02 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_1]).
% 0.58/1.02 cnf('0.2.0.0',plain,
% 0.58/1.02 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(f(X1,X2),f(f(f(X3,X1),f(X3,X1)),f(X3,X1))),X4))) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.1','L')]).
% 0.58/1.02 cnf('0.2.1.0',plain,
% 0.58/1.02 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(f(X1,X2),f(f(f(X3,X1),f(X3,X1)),f(X3,X1))),X4))) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/1.02 [weight('<?,1,1,[0,0,0,1]>')]).
% 0.58/1.02 cnf('0.2.2.0',plain,
% 0.58/1.02 ( f(X1,f(f(X1,X2),f(f(f(X1,X2),f(f(f(X3,X1),f(X3,X1)),f(X3,X1))),X4))) = f(X1,X2) ),
% 0.58/1.02 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_2]).
% 0.58/1.02 cnf('0.3.0.0',plain,
% 0.58/1.02 ( f(f(X1,X2),f(X2,X3)) = f(f(X1,X2),f(f(f(X1,X2),f(X2,X3)),X2)) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.2.2','L')]).
% 0.58/1.02 cnf('0.3.1.0',plain,
% 0.58/1.02 ( f(f(X1,X2),f(X2,X3)) = f(f(X1,X2),f(f(f(X1,X2),f(X2,X3)),X2)) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/1.02 [weight('<293,2,1,[1,0,0,6]>')]).
% 0.58/1.02 cnf('0.3.2.0',plain,
% 0.58/1.02 ( f(f(X1,X2),f(f(f(X1,X2),f(X2,X3)),X2)) = f(f(X1,X2),f(X2,X3)) ),
% 0.58/1.02 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_3]).
% 0.58/1.02 cnf('0.4.0.0',plain,
% 0.58/1.02 ( f(f(f(f(X1,X2),f(X2,X3)),X2),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))) = f(f(f(f(X1,X2),f(X2,X3)),X2),f(X2,X2)) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.2.1','L')]).
% 0.58/1.02 cnf('0.4.0.1',plain,
% 0.58/1.02 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X2),f(X2,X2)) ),
% 0.58/1.02 inference(reduction,[status(thm)],['0.4.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.02 [pos('L','L')]).
% 0.58/1.02 cnf('0.4.1.0',plain,
% 0.58/1.02 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X2),f(X2,X2)) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.58/1.02 [weight('<209,3,1,[1,0,0,5]>')]).
% 0.58/1.02 cnf('0.4.2.0',plain,
% 0.58/1.02 ( f(f(f(f(X1,X2),f(X2,X3)),X2),f(X2,X2)) = X2 ),
% 0.58/1.02 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_4]).
% 0.58/1.02 cnf('0.5.0.0',plain,
% 0.58/1.02 ( X1 = f(f(X1,X1),f(X1,X1)) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.1.1','L')]).
% 0.58/1.02 cnf('0.5.1.0',plain,
% 0.58/1.02 ( X1 = f(f(X1,X1),f(X1,X1)) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.58/1.02 [weight('<71,4,1,[1,0,0,2]>')]).
% 0.58/1.02 cnf('0.5.2.0',plain,
% 0.58/1.02 ( f(f(X1,X1),f(X1,X1)) = X1 ),
% 0.58/1.02 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_5]).
% 0.58/1.02 cnf('0.9.0.0',plain,
% 0.58/1.02 ( X1 = f(f(X1,X2),f(X1,f(f(X1,f(f(X1,X1),X1)),X1))) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.1.1','L')]).
% 0.58/1.02 cnf('0.9.1.0',plain,
% 0.58/1.02 ( X1 = f(f(X1,X2),f(X1,f(f(X1,f(f(X1,X1),X1)),X1))) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.58/1.02 [weight('<271,5,1,[0,0,0,2]>')]).
% 0.58/1.02 cnf('0.9.2.0',plain,
% 0.58/1.02 ( f(f(X1,X2),f(X1,f(f(X1,f(f(X1,X1),X1)),X1))) = X1 ),
% 0.58/1.02 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_9]).
% 0.58/1.02 cnf('0.10.0.0',plain,
% 0.58/1.02 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X1,X2))) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.2.2.0','0.9.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.2.2','L')]).
% 0.58/1.02 cnf('0.10.1.0',plain,
% 0.58/1.02 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X1,X2))) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.58/1.02 [weight('<129,9,2,[0,0,0,6]>')]).
% 0.58/1.02 cnf('0.10.2.0',plain,
% 0.58/1.02 ( f(X1,f(f(X1,X2),f(X1,X2))) = f(X1,X2) ),
% 0.58/1.02 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_10]).
% 0.58/1.02 cnf('0.11.0.0',plain,
% 0.58/1.02 ( f(f(X1,X2),f(X1,f(f(X1,f(f(X1,X1),X1)),X1))) = f(f(X1,X2),f(X1,f(f(X1,X2),f(X1,f(f(X1,f(f(X1,X1),X1)),X1))))) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.10.2.0','0.9.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.2.1','L')]).
% 0.58/1.02 cnf('0.11.0.1',plain,
% 0.58/1.02 ( X1 = f(f(X1,X2),f(X1,f(f(X1,X2),f(X1,f(f(X1,f(f(X1,X1),X1)),X1))))) ),
% 0.58/1.02 inference(reduction,[status(thm)],['0.11.0.0','0.9.2.0',theory(equality)]),
% 0.58/1.02 [pos('L','L')]).
% 0.58/1.02 cnf('0.11.0.2',plain,
% 0.58/1.02 ( X1 = f(f(X1,X2),f(X1,X1)) ),
% 0.58/1.02 inference(reduction,[status(thm)],['0.11.0.1','0.9.2.0',theory(equality)]),
% 0.58/1.02 [pos('R.2.2','L')]).
% 0.58/1.02 cnf('0.11.1.0',plain,
% 0.58/1.02 ( X1 = f(f(X1,X2),f(X1,X1)) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.11.0.2']),
% 0.58/1.02 [weight('<71,10,9,[1,0,0,3]>')]).
% 0.58/1.02 cnf('0.11.2.0',plain,
% 0.58/1.02 ( f(f(X1,X2),f(X1,X1)) = X1 ),
% 0.58/1.02 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_11]).
% 0.58/1.02 cnf('0.12.0.0',plain,
% 0.58/1.02 ( f(f(f(X1,X2),f(X1,X1)),f(f(X1,X1),X3)) = f(X1,f(f(f(f(X1,X2),f(X1,X1)),f(f(X1,X1),X3)),f(X1,X1))) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.3.2.0','0.11.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.1','L')]).
% 0.58/1.02 cnf('0.12.0.1',plain,
% 0.58/1.02 ( f(X1,f(f(X1,X1),X3)) = f(X1,f(f(f(f(X1,X2),f(X1,X1)),f(f(X1,X1),X3)),f(X1,X1))) ),
% 0.58/1.02 inference(reduction,[status(thm)],['0.12.0.0','0.11.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.1','L')]).
% 0.58/1.02 cnf('0.12.0.2',plain,
% 0.58/1.02 ( f(X1,f(f(X1,X1),X3)) = f(X1,f(f(X1,f(f(X1,X1),X3)),f(X1,X1))) ),
% 0.58/1.02 inference(reduction,[status(thm)],['0.12.0.1','0.11.2.0',theory(equality)]),
% 0.58/1.02 [pos('R.2.1.1','L')]).
% 0.58/1.02 cnf('0.12.0.3',plain,
% 0.58/1.02 ( f(X1,f(f(X1,X1),X3)) = f(X1,X1) ),
% 0.58/1.02 inference(reduction,[status(thm)],['0.12.0.2','0.11.2.0',theory(equality)]),
% 0.58/1.02 [pos('R.2','L')]).
% 0.58/1.02 cnf('0.12.1.0',plain,
% 0.58/1.02 ( f(X1,f(f(X1,X1),X3)) = f(X1,X1) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.12.0.3']),
% 0.58/1.02 [weight('<87,11,3,[0,0,0,1]>')]).
% 0.58/1.02 cnf('0.12.2.0',plain,
% 0.58/1.02 ( f(X1,f(f(X1,X1),X2)) = f(X1,X1) ),
% 0.58/1.02 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.58/1.02 [u,rule_12]).
% 0.58/1.02 cnf('0.13.0.0',plain,
% 0.58/1.02 ( f(f(X1,X1),f(X1,X1)) = f(f(X1,X1),f(X1,X2)) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.12.2.0','0.11.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.2.1','L')]).
% 0.58/1.02 cnf('0.13.0.1',plain,
% 0.58/1.02 ( X1 = f(f(X1,X1),f(X1,X2)) ),
% 0.58/1.02 inference(reduction,[status(thm)],['0.13.0.0','0.11.2.0',theory(equality)]),
% 0.58/1.02 [pos('L','L')]).
% 0.58/1.02 cnf('0.13.1.0',plain,
% 0.58/1.02 ( X1 = f(f(X1,X1),f(X1,X2)) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.58/1.02 [weight('<71,12,11,[1,0,0,3]>')]).
% 0.58/1.02 cnf('0.13.2.0',plain,
% 0.58/1.02 ( f(f(X1,X1),f(X1,X2)) = X1 ),
% 0.58/1.02 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_13]).
% 0.58/1.02 cnf('0.15.0.0',plain,
% 0.58/1.02 ( f(X1,X2) = f(f(f(X1,X2),f(X1,X2)),X1) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.13.2.0','0.11.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.2','L')]).
% 0.58/1.02 cnf('0.15.1.0',plain,
% 0.58/1.02 ( f(X1,X2) = f(f(f(X1,X2),f(X1,X2)),X1) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.58/1.02 [weight('<129,13,11,[1,0,0,4]>')]).
% 0.58/1.02 cnf('0.15.2.0',plain,
% 0.58/1.02 ( f(f(f(X1,X2),f(X1,X2)),X1) = f(X1,X2) ),
% 0.58/1.02 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_15]).
% 0.58/1.02 cnf('0.16.0.0',plain,
% 0.58/1.02 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))) = f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))))) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.10.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.2.1','L')]).
% 0.58/1.02 cnf('0.16.0.1',plain,
% 0.58/1.02 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))))) ),
% 0.58/1.02 inference(reduction,[status(thm)],['0.16.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.02 [pos('L','L')]).
% 0.58/1.02 cnf('0.16.0.2',plain,
% 0.58/1.02 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,X2)) ),
% 0.58/1.02 inference(reduction,[status(thm)],['0.16.0.1','0.1.2.0',theory(equality)]),
% 0.58/1.02 [pos('R.2.2','L')]).
% 0.58/1.02 cnf('0.16.1.0',plain,
% 0.58/1.02 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,X2)) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.16.0.2']),
% 0.58/1.02 [weight('<209,10,1,[1,0,0,3]>')]).
% 0.58/1.02 cnf('0.16.2.0',plain,
% 0.58/1.02 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,X2)) = X2 ),
% 0.58/1.02 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_16]).
% 0.58/1.02 cnf('0.17.0.0',plain,
% 0.58/1.02 ( X1 = f(f(X2,X1),f(X1,X1)) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.16.2.0','0.11.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.1','L')]).
% 0.58/1.02 cnf('0.17.1.0',plain,
% 0.58/1.02 ( X1 = f(f(X2,X1),f(X1,X1)) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.58/1.02 [weight('<71,16,11,[1,0,0,1]>')]).
% 0.58/1.02 cnf('0.17.2.0',plain,
% 0.58/1.02 ( f(f(X1,X2),f(X2,X2)) = X2 ),
% 0.58/1.02 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_17]).
% 0.58/1.02 cnf('0.18.0.0',plain,
% 0.58/1.02 ( f(f(X1,X2),f(X2,X2)) = f(f(X2,f(f(X1,X2),f(X2,X2))),f(X1,X2)) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.15.2.0','0.17.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.1.1','L')]).
% 0.58/1.02 cnf('0.18.0.1',plain,
% 0.58/1.02 ( X2 = f(f(X2,f(f(X1,X2),f(X2,X2))),f(X1,X2)) ),
% 0.58/1.02 inference(reduction,[status(thm)],['0.18.0.0','0.17.2.0',theory(equality)]),
% 0.58/1.02 [pos('L','L')]).
% 0.58/1.02 cnf('0.18.0.2',plain,
% 0.58/1.02 ( X2 = f(f(X2,X2),f(X1,X2)) ),
% 0.58/1.02 inference(reduction,[status(thm)],['0.18.0.1','0.17.2.0',theory(equality)]),
% 0.58/1.02 [pos('R.1.2','L')]).
% 0.58/1.02 cnf('0.18.1.0',plain,
% 0.58/1.02 ( X2 = f(f(X2,X2),f(X1,X2)) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.18.0.2']),
% 0.58/1.02 [weight('<71,17,15,[0,0,0,2]>')]).
% 0.58/1.02 cnf('0.18.2.0',plain,
% 0.58/1.02 ( f(f(X1,X1),f(X2,X1)) = X1 ),
% 0.58/1.02 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_18]).
% 0.58/1.02 cnf('0.19.0.0',plain,
% 0.58/1.02 ( f(X1,X1) = f(f(X2,f(X1,X1)),X1) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.17.2.0','0.11.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.2','L')]).
% 0.58/1.02 cnf('0.19.1.0',plain,
% 0.58/1.02 ( f(X1,X1) = f(f(X2,f(X1,X1)),X1) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.58/1.02 [weight('<87,17,11,[1,0,0,4]>')]).
% 0.58/1.02 cnf('0.19.2.0',plain,
% 0.58/1.02 ( f(f(X1,f(X2,X2)),X2) = f(X2,X2) ),
% 0.58/1.02 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_19]).
% 0.58/1.02 cnf('0.20.0.0',plain,
% 0.58/1.02 ( f(X1,X1) = f(X1,f(X2,f(X1,X1))) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.18.2.0','0.11.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.1','L')]).
% 0.58/1.02 cnf('0.20.1.0',plain,
% 0.58/1.02 ( f(X1,X1) = f(X1,f(X2,f(X1,X1))) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.58/1.02 [weight('<87,18,11,[1,0,0,1]>')]).
% 0.58/1.02 cnf('0.20.2.0',plain,
% 0.58/1.02 ( f(X1,f(X2,f(X1,X1))) = f(X1,X1) ),
% 0.58/1.02 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_20]).
% 0.58/1.02 cnf('0.44.0.0',plain,
% 0.58/1.02 ( X1 = f(f(X2,X1),f(X1,f(f(X1,f(f(X2,X2),X2)),X3))) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.1.2.0','0.11.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.1','L')]).
% 0.58/1.02 cnf('0.44.1.0',plain,
% 0.58/1.02 ( X1 = f(f(X2,X1),f(X1,f(f(X1,f(f(X2,X2),X2)),X3))) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.58/1.02 [weight('<271,11,1,[0,0,0,1]>')]).
% 0.58/1.02 cnf('0.44.2.0',plain,
% 0.58/1.02 ( f(f(X1,X2),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))) = X2 ),
% 0.58/1.02 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_44]).
% 0.58/1.02 cnf('0.45.0.0',plain,
% 0.58/1.02 ( X1 = f(f(X2,X1),f(X1,f(f(X2,X2),X2))) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.44.2.0','0.2.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.2','L')]).
% 0.58/1.02 cnf('0.45.1.0',plain,
% 0.58/1.02 ( X1 = f(f(X2,X1),f(X1,f(f(X2,X2),X2))) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.58/1.02 [weight('<155,44,2,[1,0,0,4]>')]).
% 0.58/1.02 cnf('0.45.2.0',plain,
% 0.58/1.02 ( f(f(X1,X2),f(X2,f(f(X1,X1),X1))) = X2 ),
% 0.58/1.02 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_45]).
% 0.58/1.02 cnf('0.46.0.0',plain,
% 0.58/1.02 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(f(X1,X1),f(X1,X1)),f(X1,X1)))) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.45.2.0','0.13.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.1','L')]).
% 0.58/1.02 cnf('0.46.0.1',plain,
% 0.58/1.02 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X1,f(X1,X1)))) ),
% 0.58/1.02 inference(reduction,[status(thm)],['0.46.0.0','0.17.2.0',theory(equality)]),
% 0.58/1.02 [pos('R.2.2.1','L')]).
% 0.58/1.02 cnf('0.46.1.0',plain,
% 0.58/1.02 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X1,f(X1,X1)))) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.46.0.1']),
% 0.58/1.02 [weight('<179,45,13,[1,0,0,1]>')]).
% 0.58/1.02 cnf('0.46.2.0',plain,
% 0.58/1.02 ( f(X1,f(f(X1,X2),f(X1,f(X1,X1)))) = f(X1,X2) ),
% 0.58/1.02 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_46]).
% 0.58/1.02 cnf('0.47.0.0',plain,
% 0.58/1.02 ( X1 = f(f(f(f(X2,X1),f(X1,f(X1,f(X1,X1)))),X3),f(X1,f(f(X2,X2),X2))) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.1.2.0','0.46.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.2','L')]).
% 0.58/1.02 cnf('0.47.0.1',plain,
% 0.58/1.02 ( X1 = f(f(f(f(X2,X1),f(X1,X1)),X3),f(X1,f(f(X2,X2),X2))) ),
% 0.58/1.02 inference(reduction,[status(thm)],['0.47.0.0','0.20.2.0',theory(equality)]),
% 0.58/1.02 [pos('R.1.1.2','L')]).
% 0.58/1.02 cnf('0.47.0.2',plain,
% 0.58/1.02 ( X1 = f(f(X1,X3),f(X1,f(f(X2,X2),X2))) ),
% 0.58/1.02 inference(reduction,[status(thm)],['0.47.0.1','0.17.2.0',theory(equality)]),
% 0.58/1.02 [pos('R.1.1','L')]).
% 0.58/1.02 cnf('0.47.1.0',plain,
% 0.58/1.02 ( X1 = f(f(X1,X3),f(X1,f(f(X2,X2),X2))) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.47.0.2']),
% 0.58/1.02 [weight('<155,46,1,[0,0,0,10]>')]).
% 0.58/1.02 cnf('0.47.2.0',plain,
% 0.58/1.02 ( f(f(X1,X2),f(X1,f(f(X3,X3),X3))) = X1 ),
% 0.58/1.02 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_47]).
% 0.58/1.02 cnf('0.59.0.0',plain,
% 0.58/1.02 ( f(f(X1,f(f(X2,X2),X2)),f(X1,f(f(X2,X2),X2))) = f(f(X3,X1),f(X1,f(f(X2,X2),X2))) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.19.2.0','0.47.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.1.2','L')]).
% 0.58/1.02 cnf('0.59.0.1',plain,
% 0.58/1.02 ( X1 = f(f(X3,X1),f(X1,f(f(X2,X2),X2))) ),
% 0.58/1.02 inference(reduction,[status(thm)],['0.59.0.0','0.47.2.0',theory(equality)]),
% 0.58/1.02 [pos('L','L')]).
% 0.58/1.02 cnf('0.59.1.0',plain,
% 0.58/1.02 ( X1 = f(f(X3,X1),f(X1,f(f(X2,X2),X2))) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.59.0.1']),
% 0.58/1.02 [weight('<155,47,19,[0,0,0,3]>')]).
% 0.58/1.02 cnf('0.59.2.0',plain,
% 0.58/1.02 ( f(f(X1,X2),f(X2,f(f(X3,X3),X3))) = X2 ),
% 0.58/1.02 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_55]).
% 0.58/1.02 cnf('0.60.0.0',plain,
% 0.58/1.02 ( f(f(X1,f(f(X2,X2),X2)),f(X1,f(f(X2,X2),X2))) = f(f(X1,f(f(X2,X2),X2)),f(X3,X1)) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.20.2.0','0.47.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.2.2','L')]).
% 0.58/1.02 cnf('0.60.0.1',plain,
% 0.58/1.02 ( X1 = f(f(X1,f(f(X2,X2),X2)),f(X3,X1)) ),
% 0.58/1.02 inference(reduction,[status(thm)],['0.60.0.0','0.47.2.0',theory(equality)]),
% 0.58/1.02 [pos('L','L')]).
% 0.58/1.02 cnf('0.60.1.0',plain,
% 0.58/1.02 ( X1 = f(f(X1,f(f(X2,X2),X2)),f(X3,X1)) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.60.0.1']),
% 0.58/1.02 [weight('<155,47,20,[0,0,0,4]>')]).
% 0.58/1.02 cnf('0.60.2.0',plain,
% 0.58/1.02 ( f(f(X1,f(f(X2,X2),X2)),f(X3,X1)) = X1 ),
% 0.58/1.02 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.58/1.02 [x,rule_56]).
% 0.58/1.02 cnf('0.61.0.0',plain,
% 0.58/1.02 ( f(f(X1,X1),X1) = f(f(X2,X2),X2) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.60.2.0','0.59.2.0',theory(equality)]),
% 0.58/1.02 [pos('L','L')]).
% 0.58/1.02 cnf('0.61.1.0',plain,
% 0.58/1.02 ( f(f(X1,X1),X1) = f(f(X2,X2),X2) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.58/1.02 [weight('<120,60,59,[1,0,0,0]>')]).
% 0.58/1.02 cnf('0.61.2.0',plain,
% 0.58/1.02 ( f(f(X1,X1),X1) = f(f(X2,X2),X2) ),
% 0.58/1.02 inference(activate,[status(thm)],['0.61.1.0']),
% 0.58/1.02 [equation_5]).
% 0.58/1.02 cnf('0.61.2.1',plain,
% 0.58/1.02 ( f(f(X1,X1),X1) = f(f(x1,x1),x1) ),
% 0.58/1.02 inference(instr,[status(thm)],['0.61.2.0',theory(equality)])).
% 0.58/1.02 cnf('0.61.2.2',plain,
% 0.58/1.02 ( f(f(x1,x1),x1) = f(f(X1,X1),X1) ),
% 0.58/1.02 inference(instl,[status(thm)],['0.61.2.0',theory(equality)])).
% 0.58/1.02 cnf('0.62.0.0',plain,
% 0.58/1.02 ( f(f(X1,X1),X1) = f(X2,f(X2,X2)) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.61.2.0','0.11.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.1','L')]).
% 0.58/1.02 cnf('0.62.1.0',plain,
% 0.58/1.02 ( f(f(X1,X1),X1) = f(X2,f(X2,X2)) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.62.0.0']),
% 0.58/1.02 [weight('<120,61,11,[1,0,0,1]>')]).
% 0.58/1.02 cnf('0.62.2.0',plain,
% 0.58/1.02 ( f(f(X1,X1),X1) = f(X2,f(X2,X2)) ),
% 0.58/1.02 inference(activate,[status(thm)],['0.62.1.0']),
% 0.58/1.02 [equation_6]).
% 0.58/1.02 cnf('0.62.2.1',plain,
% 0.58/1.02 ( f(f(X1,X1),X1) = f(x1,f(x1,x1)) ),
% 0.58/1.02 inference(instr,[status(thm)],['0.62.2.0',theory(equality)])).
% 0.58/1.02 cnf('0.62.2.2',plain,
% 0.58/1.02 ( f(f(x1,x1),x1) = f(X1,f(X1,X1)) ),
% 0.58/1.02 inference(instl,[status(thm)],['0.62.2.0',theory(equality)])).
% 0.58/1.02 cnf('0.63.0.0',plain,
% 0.58/1.02 ( f(X1,f(X1,X1)) = f(X2,f(X2,X2)) ),
% 0.58/1.02 inference(cp,[status(thm)],['0.62.2.0','0.11.2.0',theory(equality)]),
% 0.58/1.02 [pos('L.1','L')]).
% 0.58/1.02 cnf('0.63.1.0',plain,
% 0.58/1.02 ( f(X1,f(X1,X1)) = f(X2,f(X2,X2)) ),
% 0.58/1.02 inference(weigh,[status(thm)],['0.63.0.0']),
% 0.58/1.02 [weight('<120,62,11,[1,0,0,1]>')]).
% 0.58/1.02 cnf('0.63.2.0',plain,
% 0.58/1.02 ( f(X1,f(X1,X1)) = f(X2,f(X2,X2)) ),
% 0.58/1.02 inference(activate,[status(thm)],['0.63.1.0']),
% 0.58/1.02 [equation_7]).
% 0.58/1.02 cnf('0.63.2.1',plain,
% 0.58/1.02 ( f(X1,f(X1,X1)) = f(x1,f(x1,x1)) ),
% 0.58/1.02 inference(instr,[status(thm)],['0.63.2.0',theory(equality)])).
% 0.58/1.02 cnf('0.63.2.2',plain,
% 0.58/1.02 ( f(x1,f(x1,x1)) = f(X1,f(X1,X1)) ),
% 0.58/1.02 inference(instl,[status(thm)],['0.63.2.0',theory(equality)])).
% 0.58/1.02 cnf('1.0.0.0',conjecture,
% 0.58/1.02 ( f(x0,f(x0,x0)) = f(x1,f(x1,x1)) ),
% 0.58/1.02 file('/tmp/WALDMEISTER_425_n024',conjecture_1)).
% 0.58/1.02 cnf('1.0.0.1',plain,
% 0.58/1.02 ( f(x1,f(x1,x1)) = f(x1,f(x1,x1)) ),
% 0.58/1.02 inference(reduction,[status(thm)],['1.0.0.0','0.63.2.1',theory(equality)]),
% 0.58/1.02 [pos('L','L')]).
% 0.58/1.02 cnf('1.0.0.2',plain,
% 0.58/1.02 ( $true ),
% 0.58/1.02 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.58/1.02 [conjecture_1]).
% 0.58/1.02
% 0.58/1.02 Proved Goals:
% 0.58/1.02 No. 1: f(x0,f(x0,x0)) ?= f(x1,f(x1,x1)) joined, current: f(x1,f(x1,x1)) = f(x1,f(x1,x1))
% 0.58/1.02 1 goal was specified, which was proved.
% 0.58/1.02 % SZS output end CNFRefutation
% 0.58/1.02 #END OF PROOF
% 0.58/1.02
% 0.58/1.02 Problem WALDMEISTER_425_n024
% 0.58/1.02 CPs.gen 8392
% 0.58/1.02 CPs.reexp 0
% 0.58/1.02 Select 247
% 0.58/1.02 R 56
% 0.58/1.02 E 7
% 0.58/1.02 vsize 6.9M
% 0.58/1.02 rss 4.2M
% 0.58/1.02 process.time 0.075s
% 0.58/1.02 wallclock.time 0.075s
% 0.58/1.02 status S
% 0.58/1.02
% 0.58/1.02
% 0.58/1.02 Waldmeister states: Goal proved.
% 0.58/1.02 % SZS status Unsatisfiable
%------------------------------------------------------------------------------