TSTP Solution File: LAT393-2 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT393-2 : TPTP v8.1.0. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n032.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 07:17:38 EDT 2022
% Result : Unsatisfiable 49.37s 49.85s
% Output : CNFRefutation 49.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : LAT393-2 : TPTP v8.1.0. Released v5.4.0.
% 0.04/0.09 % Command : woody %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Wed Jun 29 08:05:43 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.53/0.94 ********************************************************************************
% 0.53/0.94 * W A L D M E I S T E R \| \ / \|/ *
% 0.53/0.94 * |/ | \/ | *
% 0.53/0.94 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.53/0.94 * A. Jaeger and B. Loechner | | *
% 0.53/0.94 * <waldmeister@informatik.uni-kl.de> | *
% 0.53/0.94 ********************************************************************************
% 0.53/0.94
% 0.53/0.94
% 0.53/0.94 Goals:
% 0.53/0.94 ------
% 0.53/0.94
% 0.53/0.94 ( 1) f(x0,f(f(x1,x2),f(x1,x2))) ?=? f(x1,f(f(x0,x2),f(x0,x2)))
% 0.53/0.94
% 0.53/0.94 Detected structure: Orkus
% 0.53/0.94 ********************************************************************************
% 0.53/0.94 ****************************** COMPLETION - PROOF ******************************
% 0.53/0.94 ********************************************************************************
% 0.53/0.94
% 49.37/49.85 joined goal: 1 f(x0,f(f(x1,x2),f(x1,x2))) ?= f(x1,f(f(x0,x2),f(x0,x2))) to f(x2,f(f(x1,x0),f(x1,x0)))
% 49.37/49.85 goal joined
% 49.37/49.85 % SZS status Unsatisfiable
% 49.37/49.85 #START OF PROOF
% 49.37/49.85 % SZS output start CNFRefutation
% 49.37/49.85 cnf('0.1.0.0',axiom,
% 49.37/49.85 ( X1 = f(f(f(f(X2,X1),f(X1,X3)),X4),f(X1,f(f(X1,f(f(X2,X2),X2)),X3))) ),
% 49.37/49.85 file('/tmp/WALDMEISTER_1089_n032')).
% 49.37/49.85 cnf('0.1.1.0',plain,
% 49.37/49.85 ( X1 = f(f(f(f(X2,X1),f(X1,X3)),X4),f(X1,f(f(X1,f(f(X2,X2),X2)),X3))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.1.0.0']),
% 49.37/49.85 [weight('<0,0,0,[0,0,0,1]>')]).
% 49.37/49.85 cnf('0.1.2.0',plain,
% 49.37/49.85 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))) = X2 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_1]).
% 49.37/49.85 cnf('0.2.0.0',plain,
% 49.37/49.85 ( 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))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.2.1.0',plain,
% 49.37/49.85 ( 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))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.2.0.0']),
% 49.37/49.85 [weight('<?,1,1,[0,0,0,1]>')]).
% 49.37/49.85 cnf('0.2.2.0',plain,
% 49.37/49.85 ( 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) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_2]).
% 49.37/49.85 cnf('0.3.0.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X2,X3)) = f(f(X1,X2),f(f(f(X1,X2),f(X2,X3)),X2)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.2','L')]).
% 49.37/49.85 cnf('0.3.1.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X2,X3)) = f(f(X1,X2),f(f(f(X1,X2),f(X2,X3)),X2)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.3.0.0']),
% 49.37/49.85 [weight('<293,2,1,[1,0,0,6]>')]).
% 49.37/49.85 cnf('0.3.2.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(f(f(X1,X2),f(X2,X3)),X2)) = f(f(X1,X2),f(X2,X3)) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_3]).
% 49.37/49.85 cnf('0.4.0.0',plain,
% 49.37/49.85 ( 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)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.1','L')]).
% 49.37/49.85 cnf('0.4.0.1',plain,
% 49.37/49.85 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X2),f(X2,X2)) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.4.0.0','0.1.2.0',theory(equality)]),
% 49.37/49.85 [pos('L','L')]).
% 49.37/49.85 cnf('0.4.1.0',plain,
% 49.37/49.85 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X2),f(X2,X2)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.4.0.1']),
% 49.37/49.85 [weight('<209,3,1,[1,0,0,5]>')]).
% 49.37/49.85 cnf('0.4.2.0',plain,
% 49.37/49.85 ( f(f(f(f(X1,X2),f(X2,X3)),X2),f(X2,X2)) = X2 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_4]).
% 49.37/49.85 cnf('0.5.0.0',plain,
% 49.37/49.85 ( X1 = f(f(X1,X1),f(X1,X1)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1.1','L')]).
% 49.37/49.85 cnf('0.5.1.0',plain,
% 49.37/49.85 ( X1 = f(f(X1,X1),f(X1,X1)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.5.0.0']),
% 49.37/49.85 [weight('<71,4,1,[1,0,0,2]>')]).
% 49.37/49.85 cnf('0.5.2.0',plain,
% 49.37/49.85 ( f(f(X1,X1),f(X1,X1)) = X1 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_5]).
% 49.37/49.85 cnf('0.9.0.0',plain,
% 49.37/49.85 ( X1 = f(f(X1,X2),f(X1,f(f(X1,f(f(X1,X1),X1)),X1))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1.1','L')]).
% 49.37/49.85 cnf('0.9.1.0',plain,
% 49.37/49.85 ( X1 = f(f(X1,X2),f(X1,f(f(X1,f(f(X1,X1),X1)),X1))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.9.0.0']),
% 49.37/49.85 [weight('<271,5,1,[0,0,0,2]>')]).
% 49.37/49.85 cnf('0.9.2.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,f(f(X1,f(f(X1,X1),X1)),X1))) = X1 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_9]).
% 49.37/49.85 cnf('0.10.0.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X1,X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.2.2.0','0.9.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.2','L')]).
% 49.37/49.85 cnf('0.10.1.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X1,X2))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.10.0.0']),
% 49.37/49.85 [weight('<129,9,2,[0,0,0,6]>')]).
% 49.37/49.85 cnf('0.10.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X2),f(X1,X2))) = f(X1,X2) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_10]).
% 49.37/49.85 cnf('0.11.0.0',plain,
% 49.37/49.85 ( 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))))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.10.2.0','0.9.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.1','L')]).
% 49.37/49.85 cnf('0.11.0.1',plain,
% 49.37/49.85 ( X1 = f(f(X1,X2),f(X1,f(f(X1,X2),f(X1,f(f(X1,f(f(X1,X1),X1)),X1))))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.11.0.0','0.9.2.0',theory(equality)]),
% 49.37/49.85 [pos('L','L')]).
% 49.37/49.85 cnf('0.11.0.2',plain,
% 49.37/49.85 ( X1 = f(f(X1,X2),f(X1,X1)) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.11.0.1','0.9.2.0',theory(equality)]),
% 49.37/49.85 [pos('R.2.2','L')]).
% 49.37/49.85 cnf('0.11.1.0',plain,
% 49.37/49.85 ( X1 = f(f(X1,X2),f(X1,X1)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.11.0.2']),
% 49.37/49.85 [weight('<71,10,9,[1,0,0,3]>')]).
% 49.37/49.85 cnf('0.11.2.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,X1)) = X1 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_11]).
% 49.37/49.85 cnf('0.12.0.0',plain,
% 49.37/49.85 ( 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))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.3.2.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.12.0.1',plain,
% 49.37/49.85 ( 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))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.12.0.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.12.0.2',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X1),X3)) = f(X1,f(f(X1,f(f(X1,X1),X3)),f(X1,X1))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.12.0.1','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('R.2.1.1','L')]).
% 49.37/49.85 cnf('0.12.0.3',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X1),X3)) = f(X1,X1) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.12.0.2','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('R.2','L')]).
% 49.37/49.85 cnf('0.12.1.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X1),X3)) = f(X1,X1) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.12.0.3']),
% 49.37/49.85 [weight('<87,11,3,[0,0,0,1]>')]).
% 49.37/49.85 cnf('0.12.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X1),X2)) = f(X1,X1) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 49.37/49.85 [u,rule_12]).
% 49.37/49.85 cnf('0.13.0.0',plain,
% 49.37/49.85 ( f(f(X1,X1),f(X1,X1)) = f(f(X1,X1),f(X1,X2)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.12.2.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.1','L')]).
% 49.37/49.85 cnf('0.13.0.1',plain,
% 49.37/49.85 ( X1 = f(f(X1,X1),f(X1,X2)) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.13.0.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('L','L')]).
% 49.37/49.85 cnf('0.13.1.0',plain,
% 49.37/49.85 ( X1 = f(f(X1,X1),f(X1,X2)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.13.0.1']),
% 49.37/49.85 [weight('<71,12,11,[1,0,0,3]>')]).
% 49.37/49.85 cnf('0.13.2.0',plain,
% 49.37/49.85 ( f(f(X1,X1),f(X1,X2)) = X1 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_13]).
% 49.37/49.85 cnf('0.14.0.0',plain,
% 49.37/49.85 ( f(X1,X1) = f(f(f(X1,X1),X2),X1) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.11.2.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.14.1.0',plain,
% 49.37/49.85 ( f(X1,X1) = f(f(f(X1,X1),X2),X1) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.14.0.0']),
% 49.37/49.85 [weight('<87,11,11,[0,0,0,4]>')]).
% 49.37/49.85 cnf('0.14.2.0',plain,
% 49.37/49.85 ( f(f(f(X1,X1),X2),X1) = f(X1,X1) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_14]).
% 49.37/49.85 cnf('0.15.0.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(f(f(X1,X2),f(X1,X2)),X1) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.13.2.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.15.1.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(f(f(X1,X2),f(X1,X2)),X1) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.15.0.0']),
% 49.37/49.85 [weight('<129,13,11,[1,0,0,4]>')]).
% 49.37/49.85 cnf('0.15.2.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X1,X2)),X1) = f(X1,X2) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_15]).
% 49.37/49.85 cnf('0.16.0.0',plain,
% 49.37/49.85 ( 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))))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.10.2.0','0.1.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.1','L')]).
% 49.37/49.85 cnf('0.16.0.1',plain,
% 49.37/49.85 ( 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))))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.16.0.0','0.1.2.0',theory(equality)]),
% 49.37/49.85 [pos('L','L')]).
% 49.37/49.85 cnf('0.16.0.2',plain,
% 49.37/49.85 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,X2)) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.16.0.1','0.1.2.0',theory(equality)]),
% 49.37/49.85 [pos('R.2.2','L')]).
% 49.37/49.85 cnf('0.16.1.0',plain,
% 49.37/49.85 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,X2)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.16.0.2']),
% 49.37/49.85 [weight('<209,10,1,[1,0,0,3]>')]).
% 49.37/49.85 cnf('0.16.2.0',plain,
% 49.37/49.85 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,X2)) = X2 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_16]).
% 49.37/49.85 cnf('0.17.0.0',plain,
% 49.37/49.85 ( X1 = f(f(X2,X1),f(X1,X1)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.16.2.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.17.1.0',plain,
% 49.37/49.85 ( X1 = f(f(X2,X1),f(X1,X1)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.17.0.0']),
% 49.37/49.85 [weight('<71,16,11,[1,0,0,1]>')]).
% 49.37/49.85 cnf('0.17.2.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X2,X2)) = X2 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_17]).
% 49.37/49.85 cnf('0.18.0.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X2,X2)) = f(f(X2,f(f(X1,X2),f(X2,X2))),f(X1,X2)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.15.2.0','0.17.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1.1','L')]).
% 49.37/49.85 cnf('0.18.0.1',plain,
% 49.37/49.85 ( X2 = f(f(X2,f(f(X1,X2),f(X2,X2))),f(X1,X2)) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.18.0.0','0.17.2.0',theory(equality)]),
% 49.37/49.85 [pos('L','L')]).
% 49.37/49.85 cnf('0.18.0.2',plain,
% 49.37/49.85 ( X2 = f(f(X2,X2),f(X1,X2)) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.18.0.1','0.17.2.0',theory(equality)]),
% 49.37/49.85 [pos('R.1.2','L')]).
% 49.37/49.85 cnf('0.18.1.0',plain,
% 49.37/49.85 ( X2 = f(f(X2,X2),f(X1,X2)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.18.0.2']),
% 49.37/49.85 [weight('<71,17,15,[0,0,0,2]>')]).
% 49.37/49.85 cnf('0.18.2.0',plain,
% 49.37/49.85 ( f(f(X1,X1),f(X2,X1)) = X1 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_18]).
% 49.37/49.85 cnf('0.20.0.0',plain,
% 49.37/49.85 ( f(X1,X1) = f(X1,f(X2,f(X1,X1))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.18.2.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.20.1.0',plain,
% 49.37/49.85 ( f(X1,X1) = f(X1,f(X2,f(X1,X1))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.20.0.0']),
% 49.37/49.85 [weight('<87,18,11,[1,0,0,1]>')]).
% 49.37/49.85 cnf('0.20.2.0',plain,
% 49.37/49.85 ( f(X1,f(X2,f(X1,X1))) = f(X1,X1) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_20]).
% 49.37/49.85 cnf('0.21.0.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(X2,f(f(X1,X2),f(X1,X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.11.2.0','0.17.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.21.1.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(X2,f(f(X1,X2),f(X1,X2))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.21.0.0']),
% 49.37/49.85 [weight('<129,17,11,[0,0,0,1]>')]).
% 49.37/49.85 cnf('0.21.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X2,X1),f(X2,X1))) = f(X2,X1) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_21]).
% 49.37/49.85 cnf('0.25.0.0',plain,
% 49.37/49.85 ( X1 = f(f(f(f(X1,X2),f(X1,X3)),X4),f(X1,X1)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.16.2.0','0.15.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1.1.1','L')]).
% 49.37/49.85 cnf('0.25.1.0',plain,
% 49.37/49.85 ( X1 = f(f(f(f(X1,X2),f(X1,X3)),X4),f(X1,X1)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.25.0.0']),
% 49.37/49.85 [weight('<209,16,15,[1,0,0,3]>')]).
% 49.37/49.85 cnf('0.25.2.0',plain,
% 49.37/49.85 ( f(f(f(f(X1,X2),f(X1,X3)),X4),f(X1,X1)) = X1 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_25]).
% 49.37/49.85 cnf('0.27.0.0',plain,
% 49.37/49.85 ( X1 = f(f(X2,f(f(X3,X1),f(X1,X4))),f(X1,X1)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.16.2.0','0.21.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.27.1.0',plain,
% 49.37/49.85 ( X1 = f(f(X2,f(f(X3,X1),f(X1,X4))),f(X1,X1)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.27.0.0']),
% 49.37/49.85 [weight('<209,21,16,[0,0,0,1]>')]).
% 49.37/49.85 cnf('0.27.2.0',plain,
% 49.37/49.85 ( f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,X3)) = X3 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_27]).
% 49.37/49.85 cnf('0.34.0.0',plain,
% 49.37/49.85 ( X1 = f(f(X2,f(f(X1,X3),f(X1,X4))),f(X1,X1)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.25.2.0','0.21.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.34.1.0',plain,
% 49.37/49.85 ( X1 = f(f(X2,f(f(X1,X3),f(X1,X4))),f(X1,X1)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.34.0.0']),
% 49.37/49.85 [weight('<209,25,21,[1,0,0,1]>')]).
% 49.37/49.85 cnf('0.34.2.0',plain,
% 49.37/49.85 ( f(f(X1,f(f(X2,X3),f(X2,X4))),f(X2,X2)) = X2 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_34]).
% 49.37/49.85 cnf('0.37.0.0',plain,
% 49.37/49.85 ( X1 = f(f(X2,f(f(X3,X1),f(X4,X1))),f(X1,X1)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.27.2.0','0.21.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1.2.2','L')]).
% 49.37/49.85 cnf('0.37.1.0',plain,
% 49.37/49.85 ( X1 = f(f(X2,f(f(X3,X1),f(X4,X1))),f(X1,X1)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.37.0.0']),
% 49.37/49.85 [weight('<209,27,21,[1,0,0,7]>')]).
% 49.37/49.85 cnf('0.37.2.0',plain,
% 49.37/49.85 ( f(f(X1,f(f(X2,X3),f(X4,X3))),f(X3,X3)) = X3 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_37]).
% 49.37/49.85 cnf('0.44.0.0',plain,
% 49.37/49.85 ( X1 = f(f(X2,X1),f(X1,f(f(X1,f(f(X2,X2),X2)),X3))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.1.2.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.44.1.0',plain,
% 49.37/49.85 ( X1 = f(f(X2,X1),f(X1,f(f(X1,f(f(X2,X2),X2)),X3))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.44.0.0']),
% 49.37/49.85 [weight('<271,11,1,[0,0,0,1]>')]).
% 49.37/49.85 cnf('0.44.2.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))) = X2 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_44]).
% 49.37/49.85 cnf('0.45.0.0',plain,
% 49.37/49.85 ( X1 = f(f(X2,X1),f(X1,f(f(X2,X2),X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.44.2.0','0.2.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.45.1.0',plain,
% 49.37/49.85 ( X1 = f(f(X2,X1),f(X1,f(f(X2,X2),X2))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.45.0.0']),
% 49.37/49.85 [weight('<155,44,2,[1,0,0,4]>')]).
% 49.37/49.85 cnf('0.45.2.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X2,f(f(X1,X1),X1))) = X2 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_45]).
% 49.37/49.85 cnf('0.46.0.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(f(X1,X1),f(X1,X1)),f(X1,X1)))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.45.2.0','0.13.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.46.0.1',plain,
% 49.37/49.85 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X1,f(X1,X1)))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.46.0.0','0.17.2.0',theory(equality)]),
% 49.37/49.85 [pos('R.2.2.1','L')]).
% 49.37/49.85 cnf('0.46.1.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X1,f(X1,X1)))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.46.0.1']),
% 49.37/49.85 [weight('<179,45,13,[1,0,0,1]>')]).
% 49.37/49.85 cnf('0.46.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X2),f(X1,f(X1,X1)))) = f(X1,X2) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_46]).
% 49.37/49.85 cnf('0.47.0.0',plain,
% 49.37/49.85 ( X1 = f(f(f(f(X2,X1),f(X1,f(X1,f(X1,X1)))),X3),f(X1,f(f(X2,X2),X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.1.2.0','0.46.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.47.0.1',plain,
% 49.37/49.85 ( X1 = f(f(f(f(X2,X1),f(X1,X1)),X3),f(X1,f(f(X2,X2),X2))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.47.0.0','0.20.2.0',theory(equality)]),
% 49.37/49.85 [pos('R.1.1.2','L')]).
% 49.37/49.85 cnf('0.47.0.2',plain,
% 49.37/49.85 ( X1 = f(f(X1,X3),f(X1,f(f(X2,X2),X2))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.47.0.1','0.17.2.0',theory(equality)]),
% 49.37/49.85 [pos('R.1.1','L')]).
% 49.37/49.85 cnf('0.47.1.0',plain,
% 49.37/49.85 ( X1 = f(f(X1,X3),f(X1,f(f(X2,X2),X2))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.47.0.2']),
% 49.37/49.85 [weight('<155,46,1,[0,0,0,10]>')]).
% 49.37/49.85 cnf('0.47.2.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,f(f(X3,X3),X3))) = X1 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_47]).
% 49.37/49.85 cnf('0.48.0.0',plain,
% 49.37/49.85 ( f(X1,f(f(X2,X2),X2)) = f(X1,X1) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.10.2.0','0.47.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.48.1.0',plain,
% 49.37/49.85 ( f(X1,f(f(X2,X2),X2)) = f(X1,X1) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.48.0.0']),
% 49.37/49.85 [weight('<120,47,10,[0,0,0,2]>')]).
% 49.37/49.85 cnf('0.48.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X2,X2),X2)) = f(X1,X1) ),
% 49.37/49.85 inference(activate,[status(thm)],['0.48.1.0']),
% 49.37/49.85 [equation_1]).
% 49.37/49.85 cnf('0.48.2.2',plain,
% 49.37/49.85 ( f(X1,f(f(x2,x2),x2)) = f(X1,X1) ),
% 49.37/49.85 inference(instl,[status(thm)],['0.48.2.0',theory(equality)])).
% 49.37/49.85 cnf('0.49.0.0',plain,
% 49.37/49.85 ( f(f(X1,X1),f(f(X2,X2),X2)) = X1 ),
% 49.37/49.85 inference(cp,[status(thm)],['0.48.2.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('R','L')]).
% 49.37/49.85 cnf('0.49.1.0',plain,
% 49.37/49.85 ( f(f(X1,X1),f(f(X2,X2),X2)) = X1 ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.49.0.0']),
% 49.37/49.85 [weight('<109,48,11,[1,1,0,0]>')]).
% 49.37/49.85 cnf('0.49.2.0',plain,
% 49.37/49.85 ( f(f(X1,X1),f(f(X2,X2),X2)) = X1 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 49.37/49.85 [u,rule_48]).
% 49.37/49.85 cnf('0.50.0.0',plain,
% 49.37/49.85 ( X1 = f(f(X1,X1),f(X2,f(X2,X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.49.2.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.1','L')]).
% 49.37/49.85 cnf('0.50.1.0',plain,
% 49.37/49.85 ( X1 = f(f(X1,X1),f(X2,f(X2,X2))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.50.0.0']),
% 49.37/49.85 [weight('<109,49,11,[1,0,0,5]>')]).
% 49.37/49.85 cnf('0.50.2.0',plain,
% 49.37/49.85 ( f(f(X1,X1),f(X2,f(X2,X2))) = X1 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_49]).
% 49.37/49.85 cnf('0.52.0.0',plain,
% 49.37/49.85 ( f(f(X1,X1),f(X2,f(X2,X2))) = f(f(X2,f(X2,X2)),f(X1,f(f(X1,X1),f(X2,f(X2,X2))))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.21.2.0','0.50.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.1','L')]).
% 49.37/49.85 cnf('0.52.0.1',plain,
% 49.37/49.85 ( X1 = f(f(X2,f(X2,X2)),f(X1,f(f(X1,X1),f(X2,f(X2,X2))))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.52.0.0','0.50.2.0',theory(equality)]),
% 49.37/49.85 [pos('L','L')]).
% 49.37/49.85 cnf('0.52.0.2',plain,
% 49.37/49.85 ( X1 = f(f(X2,f(X2,X2)),f(X1,X1)) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.52.0.1','0.12.2.0',theory(equality)]),
% 49.37/49.85 [pos('R.2','L')]).
% 49.37/49.85 cnf('0.52.1.0',plain,
% 49.37/49.85 ( X1 = f(f(X2,f(X2,X2)),f(X1,X1)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.52.0.2']),
% 49.37/49.85 [weight('<109,50,21,[0,0,0,3]>')]).
% 49.37/49.85 cnf('0.52.2.0',plain,
% 49.37/49.85 ( f(f(X1,f(X1,X1)),f(X2,X2)) = X2 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_51]).
% 49.37/49.85 cnf('0.54.0.0',plain,
% 49.37/49.85 ( f(X1,X1) = f(X1,f(X2,f(X2,X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.48.2.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.1','L')]).
% 49.37/49.85 cnf('0.54.1.0',plain,
% 49.37/49.85 ( f(X1,X1) = f(X1,f(X2,f(X2,X2))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.54.0.0']),
% 49.37/49.85 [weight('<120,48,11,[1,0,0,3]>')]).
% 49.37/49.85 cnf('0.54.2.0',plain,
% 49.37/49.85 ( f(X1,X1) = f(X1,f(X2,f(X2,X2))) ),
% 49.37/49.85 inference(activate,[status(thm)],['0.54.1.0']),
% 49.37/49.85 [equation_2]).
% 49.37/49.85 cnf('0.54.2.1',plain,
% 49.37/49.85 ( f(X1,X1) = f(X1,f(x2,f(x2,x2))) ),
% 49.37/49.85 inference(instr,[status(thm)],['0.54.2.0',theory(equality)])).
% 49.37/49.85 cnf('0.56.0.0',plain,
% 49.37/49.85 ( f(X1,X1) = f(f(X2,f(X2,X2)),X1) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.52.2.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.56.1.0',plain,
% 49.37/49.85 ( f(X1,X1) = f(f(X2,f(X2,X2)),X1) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.56.0.0']),
% 49.37/49.85 [weight('<120,52,11,[1,0,0,6]>')]).
% 49.37/49.85 cnf('0.56.2.0',plain,
% 49.37/49.85 ( f(X1,X1) = f(f(X2,f(X2,X2)),X1) ),
% 49.37/49.85 inference(activate,[status(thm)],['0.56.1.0']),
% 49.37/49.85 [equation_4]).
% 49.37/49.85 cnf('0.56.2.1',plain,
% 49.37/49.85 ( f(X1,X1) = f(f(x2,f(x2,x2)),X1) ),
% 49.37/49.85 inference(instr,[status(thm)],['0.56.2.0',theory(equality)])).
% 49.37/49.85 cnf('0.65.0.0',plain,
% 49.37/49.85 ( X1 = f(f(X1,f(X2,f(X2,X2))),f(X1,X3)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.13.2.0','0.54.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.65.1.0',plain,
% 49.37/49.85 ( X1 = f(f(X1,f(X2,f(X2,X2))),f(X1,X3)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.65.0.0']),
% 49.37/49.85 [weight('<155,54,13,[0,0,0,1]>')]).
% 49.37/49.85 cnf('0.65.2.0',plain,
% 49.37/49.85 ( f(f(X1,f(X2,f(X2,X2))),f(X1,X3)) = X1 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_58]).
% 49.37/49.85 cnf('0.80.0.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(X2,f(f(X1,X2),f(X3,f(X3,X3)))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.21.2.0','0.54.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.80.1.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(X2,f(f(X1,X2),f(X3,f(X3,X3)))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.80.0.0']),
% 49.37/49.85 [weight('<179,54,21,[0,0,0,2]>')]).
% 49.37/49.85 cnf('0.80.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X2,X1),f(X3,f(X3,X3)))) = f(X2,X1) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_73]).
% 49.37/49.85 cnf('0.110.0.0',plain,
% 49.37/49.85 ( f(X1,f(X1,X1)) = f(f(f(X1,f(X1,X1)),f(X2,f(X2,X2))),X3) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.65.2.0','0.52.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.110.1.0',plain,
% 49.37/49.85 ( f(X1,f(X1,X1)) = f(f(f(X1,f(X1,X1)),f(X2,f(X2,X2))),X3) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.110.0.0']),
% 49.37/49.85 [weight('<265,65,52,[1,0,0,8]>')]).
% 49.37/49.85 cnf('0.110.2.0',plain,
% 49.37/49.85 ( f(f(f(X1,f(X1,X1)),f(X2,f(X2,X2))),X3) = f(X1,f(X1,X1)) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_97]).
% 49.37/49.85 cnf('0.111.0.0',plain,
% 49.37/49.85 ( X1 = f(f(f(f(X1,X2),f(X3,f(X3,X3))),X4),f(X1,X1)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.25.2.0','0.54.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1.1','L')]).
% 49.37/49.85 cnf('0.111.1.0',plain,
% 49.37/49.85 ( X1 = f(f(f(f(X1,X2),f(X3,f(X3,X3))),X4),f(X1,X1)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.111.0.0']),
% 49.37/49.85 [weight('<271,54,25,[0,0,0,2]>')]).
% 49.37/49.85 cnf('0.111.2.0',plain,
% 49.37/49.85 ( f(f(f(f(X1,X2),f(X3,f(X3,X3))),X4),f(X1,X1)) = X1 ),
% 49.37/49.85 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_98]).
% 49.37/49.85 cnf('0.127.0.0',plain,
% 49.37/49.85 ( f(f(f(X1,X1),f(X1,X2)),f(f(X1,X2),X3)) = f(X1,f(f(f(f(X1,X1),f(X1,X2)),f(f(X1,X2),X3)),f(X1,X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.3.2.0','0.13.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.127.0.1',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X2),X3)) = f(X1,f(f(f(f(X1,X1),f(X1,X2)),f(f(X1,X2),X3)),f(X1,X2))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.127.0.0','0.13.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.127.0.2',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X2),X3)) = f(X1,f(f(X1,f(f(X1,X2),X3)),f(X1,X2))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.127.0.1','0.13.2.0',theory(equality)]),
% 49.37/49.85 [pos('R.2.1.1','L')]).
% 49.37/49.85 cnf('0.127.1.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X2),X3)) = f(X1,f(f(X1,f(f(X1,X2),X3)),f(X1,X2))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.127.0.2']),
% 49.37/49.85 [weight('<293,13,3,[0,0,0,1]>')]).
% 49.37/49.85 cnf('0.127.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,f(f(X1,X2),X3)),f(X1,X2))) = f(X1,f(f(X1,X2),X3)) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.127.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_114]).
% 49.37/49.85 cnf('0.129.0.0',plain,
% 49.37/49.85 ( f(f(f(X1,X1),f(X2,X1)),f(f(X2,X1),X3)) = f(X1,f(f(f(f(X1,X1),f(X2,X1)),f(f(X2,X1),X3)),f(X2,X1))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.3.2.0','0.18.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.129.0.1',plain,
% 49.37/49.85 ( f(X1,f(f(X2,X1),X3)) = f(X1,f(f(f(f(X1,X1),f(X2,X1)),f(f(X2,X1),X3)),f(X2,X1))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.129.0.0','0.18.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.129.0.2',plain,
% 49.37/49.85 ( f(X1,f(f(X2,X1),X3)) = f(X1,f(f(X1,f(f(X2,X1),X3)),f(X2,X1))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.129.0.1','0.18.2.0',theory(equality)]),
% 49.37/49.85 [pos('R.2.1.1','L')]).
% 49.37/49.85 cnf('0.129.1.0',plain,
% 49.37/49.85 ( f(X1,f(f(X2,X1),X3)) = f(X1,f(f(X1,f(f(X2,X1),X3)),f(X2,X1))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.129.0.2']),
% 49.37/49.85 [weight('<293,18,3,[0,0,0,1]>')]).
% 49.37/49.85 cnf('0.129.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,f(f(X2,X1),X3)),f(X2,X1))) = f(X1,f(f(X2,X1),X3)) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.129.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_116]).
% 49.37/49.85 cnf('0.130.0.0',plain,
% 49.37/49.85 ( f(X1,f(f(X2,X1),f(X2,X2))) = f(X1,f(f(X1,X2),f(X2,X1))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.129.2.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.1.2','L')]).
% 49.37/49.85 cnf('0.130.0.1',plain,
% 49.37/49.85 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X2,X1))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.130.0.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.130.1.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X2,X1))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.130.0.1']),
% 49.37/49.85 [weight('<129,129,11,[1,0,0,5]>')]).
% 49.37/49.85 cnf('0.130.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X2),f(X2,X1))) = f(X1,X2) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.130.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_117]).
% 49.37/49.85 cnf('0.172.0.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,X3))) = f(X1,f(f(X1,X3),f(X1,f(f(X2,X3),f(X3,X4))))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.127.2.0','0.27.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.1.2','L')]).
% 49.37/49.85 cnf('0.172.0.1',plain,
% 49.37/49.85 ( f(X1,X3) = f(X1,f(f(X1,X3),f(X1,f(f(X2,X3),f(X3,X4))))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.172.0.0','0.27.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.172.1.0',plain,
% 49.37/49.85 ( f(X1,X3) = f(X1,f(f(X1,X3),f(X1,f(f(X2,X3),f(X3,X4))))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.172.0.1']),
% 49.37/49.85 [weight('<303,127,27,[1,0,0,5]>')]).
% 49.37/49.85 cnf('0.172.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X2),f(X1,f(f(X3,X2),f(X2,X4))))) = f(X1,X2) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.172.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_159]).
% 49.37/49.85 cnf('0.212.0.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,f(f(X2,X3),f(X2,X4))),f(X2,X2))) = f(X1,f(f(X1,X2),f(X1,f(f(X2,X3),f(X2,X4))))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.127.2.0','0.34.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.1.2','L')]).
% 49.37/49.85 cnf('0.212.0.1',plain,
% 49.37/49.85 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X1,f(f(X2,X3),f(X2,X4))))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.212.0.0','0.34.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.212.1.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X1,f(f(X2,X3),f(X2,X4))))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.212.0.1']),
% 49.37/49.85 [weight('<303,127,34,[1,0,0,5]>')]).
% 49.37/49.85 cnf('0.212.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X2),f(X1,f(f(X2,X3),f(X2,X4))))) = f(X1,X2) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.212.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_199]).
% 49.37/49.85 cnf('0.213.0.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,f(f(X2,X3),f(X4,X3))),f(X3,X3))) = f(X1,f(f(X1,X3),f(X1,f(f(X2,X3),f(X4,X3))))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.127.2.0','0.37.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.1.2','L')]).
% 49.37/49.85 cnf('0.213.0.1',plain,
% 49.37/49.85 ( f(X1,X3) = f(X1,f(f(X1,X3),f(X1,f(f(X2,X3),f(X4,X3))))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.213.0.0','0.37.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.213.1.0',plain,
% 49.37/49.85 ( f(X1,X3) = f(X1,f(f(X1,X3),f(X1,f(f(X2,X3),f(X4,X3))))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.213.0.1']),
% 49.37/49.85 [weight('<303,127,37,[1,0,0,5]>')]).
% 49.37/49.85 cnf('0.213.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X2),f(X1,f(f(X3,X2),f(X4,X2))))) = f(X1,X2) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.213.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_200]).
% 49.37/49.85 cnf('0.225.0.0',plain,
% 49.37/49.85 ( f(f(X1,X1),X2) = f(f(f(f(X1,X1),f(X3,f(X3,X3))),X4),f(f(f(X1,X1),X2),f(f(X1,X1),X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.111.2.0','0.14.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1.1.1','L')]).
% 49.37/49.85 cnf('0.225.0.1',plain,
% 49.37/49.85 ( f(f(X1,X1),X2) = f(f(X1,X4),f(f(f(X1,X1),X2),f(f(X1,X1),X2))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.225.0.0','0.50.2.0',theory(equality)]),
% 49.37/49.85 [pos('R.1.1','L')]).
% 49.37/49.85 cnf('0.225.1.0',plain,
% 49.37/49.85 ( f(f(X1,X1),X2) = f(f(X1,X4),f(f(f(X1,X1),X2),f(f(X1,X1),X2))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.225.0.1']),
% 49.37/49.85 [weight('<335,111,14,[1,0,0,3]>')]).
% 49.37/49.85 cnf('0.225.1.1',plain,
% 49.37/49.85 ( f(f(X1,X1),X2) = f(f(X1,X4),f(f(x2,f(x2,x2)),f(f(X1,X1),X2))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.225.1.0','0.56.2.1',theory(equality)]),
% 49.37/49.85 [pos('R.2','L')]).
% 49.37/49.85 cnf('0.225.2.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(f(x2,f(x2,x2)),f(f(X1,X1),X3))) = f(f(X1,X1),X3) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.225.1.1',theory(equality)]),
% 49.37/49.85 [x,rule_212]).
% 49.37/49.85 cnf('0.226.0.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(f(f(X1,X1),X3),f(f(X1,X2),f(X1,X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.11.2.0','0.225.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.226.1.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(f(f(X1,X1),X3),f(f(X1,X2),f(X1,X2))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.226.0.0']),
% 49.37/49.85 [weight('<237,225,11,[0,0,0,1]>')]).
% 49.37/49.85 cnf('0.226.2.0',plain,
% 49.37/49.85 ( f(f(f(X1,X1),X2),f(f(X1,X3),f(X1,X3))) = f(X1,X3) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.226.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_213]).
% 49.37/49.85 cnf('0.235.0.0',plain,
% 49.37/49.85 ( f(X1,f(f(f(X2,X2),X1),f(f(X2,X3),f(X2,X3)))) = f(X1,f(f(X1,f(X2,X3)),f(f(X2,X2),X1))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.129.2.0','0.226.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.1.2','L')]).
% 49.37/49.85 cnf('0.235.0.1',plain,
% 49.37/49.85 ( f(X1,f(X2,X3)) = f(X1,f(f(X1,f(X2,X3)),f(f(X2,X2),X1))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.235.0.0','0.226.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.235.1.0',plain,
% 49.37/49.85 ( f(X1,f(X2,X3)) = f(X1,f(f(X1,f(X2,X3)),f(f(X2,X2),X1))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.235.0.1']),
% 49.37/49.85 [weight('<265,226,129,[0,0,0,5]>')]).
% 49.37/49.85 cnf('0.235.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,f(X2,X3)),f(f(X2,X2),X1))) = f(X1,f(X2,X3)) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.235.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_222]).
% 49.37/49.85 cnf('0.359.0.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(f(f(f(X3,f(X1,X2)),X1),X4),f(f(X1,X2),f(X1,X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.16.2.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1.1.2','L')]).
% 49.37/49.85 cnf('0.359.1.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(f(f(f(X3,f(X1,X2)),X1),X4),f(f(X1,X2),f(X1,X2))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.359.0.0']),
% 49.37/49.85 [weight('<?,16,11,[1,0,0,6]>')]).
% 49.37/49.85 cnf('0.359.2.0',plain,
% 49.37/49.85 ( f(f(f(f(X1,f(X2,X3)),X2),X4),f(f(X2,X3),f(X2,X3))) = f(X2,X3) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.359.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_346]).
% 49.37/49.85 cnf('0.360.0.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(f(f(X2,X1),X3),f(f(X1,X2),f(X1,X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.359.2.0','0.18.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1.1.1','L')]).
% 49.37/49.85 cnf('0.360.1.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(f(f(X2,X1),X3),f(f(X1,X2),f(X1,X2))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.360.0.0']),
% 49.37/49.85 [weight('<237,359,18,[1,0,0,3]>')]).
% 49.37/49.85 cnf('0.360.2.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),X3),f(f(X2,X1),f(X2,X1))) = f(X2,X1) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.360.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_347]).
% 49.37/49.85 cnf('0.361.0.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,X2)) = f(f(X1,X2),f(X2,X1)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.12.2.0','0.360.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.361.1.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,X2)) = f(f(X1,X2),f(X2,X1)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.361.0.0']),
% 49.37/49.85 [weight('<224,360,12,[0,0,0,2]>')]).
% 49.37/49.85 cnf('0.361.2.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,X2)) = f(f(X1,X2),f(X2,X1)) ),
% 49.37/49.85 inference(activate,[status(thm)],['0.361.1.0']),
% 49.37/49.85 [equation_14]).
% 49.37/49.85 cnf('0.362.0.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(f(f(X1,X2),f(X1,X2)),f(f(X2,X1),f(X2,X1))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.18.2.0','0.361.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','R')]).
% 49.37/49.85 cnf('0.362.0.1',plain,
% 49.37/49.85 ( f(X1,X2) = f(X2,X1) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.362.0.0','0.360.2.0',theory(equality)]),
% 49.37/49.85 [pos('R','L')]).
% 49.37/49.85 cnf('0.362.1.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(X2,X1) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.362.0.1']),
% 49.37/49.85 [weight('<48,361,18,[0,1,0,4]>')]).
% 49.37/49.85 cnf('0.362.2.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(X2,X1) ),
% 49.37/49.85 inference(activate,[status(thm)],['0.362.1.0']),
% 49.37/49.85 [equation_15]).
% 49.37/49.85 cnf('0.368.0.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X1,X2)),f(f(X2,X1),X3)) = f(f(f(X1,X2),f(X1,X2)),f(f(f(f(X1,X2),f(X1,X2)),f(f(X2,X1),X3)),f(X1,X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.130.2.0','0.360.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.2','L')]).
% 49.37/49.85 cnf('0.368.0.1',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X1,X2)),f(f(X2,X1),X3)) = f(X1,X2) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.368.0.0','0.18.2.0',theory(equality)]),
% 49.37/49.85 [pos('R','L')]).
% 49.37/49.85 cnf('0.368.1.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X1,X2)),f(f(X2,X1),X3)) = f(X1,X2) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.368.0.1']),
% 49.37/49.85 [weight('<237,360,130,[0,0,0,6]>')]).
% 49.37/49.85 cnf('0.368.2.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X1,X2)),f(f(X2,X1),X3)) = f(X1,X2) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.368.1.0',theory(equality)]),
% 49.37/49.85 [u,rule_352]).
% 49.37/49.85 cnf('0.371.0.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(f(f(X1,X1),X3),f(f(X1,X2),f(X2,X1))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.226.2.0','0.362.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.2','L')]).
% 49.37/49.85 cnf('0.371.1.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(f(f(X1,X1),X3),f(f(X1,X2),f(X2,X1))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.371.0.0']),
% 49.37/49.85 [weight('<237,362,226,[0,0,0,10]>')]).
% 49.37/49.85 cnf('0.371.2.0',plain,
% 49.37/49.85 ( f(f(f(X1,X1),X2),f(f(X1,X3),f(X3,X1))) = f(X1,X3) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.371.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_355]).
% 49.37/49.85 cnf('0.382.0.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(f(f(X2,X1),f(X1,X2)),f(f(X2,X1),X3)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.368.2.0','0.362.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1.1','L')]).
% 49.37/49.85 cnf('0.382.1.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(f(f(X2,X1),f(X1,X2)),f(f(X2,X1),X3)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.382.0.0']),
% 49.37/49.85 [weight('<237,368,362,[1,0,0,2]>')]).
% 49.37/49.85 cnf('0.382.2.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X2,X1)),f(f(X1,X2),X3)) = f(X2,X1) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.382.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_366]).
% 49.37/49.85 cnf('0.388.0.0',plain,
% 49.37/49.85 ( f(X1,f(X2,X3)) = f(X1,f(f(f(X2,X3),X1),f(f(X2,X2),X1))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.235.2.0','0.362.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.1','L')]).
% 49.37/49.85 cnf('0.388.1.0',plain,
% 49.37/49.85 ( f(X1,f(X2,X3)) = f(X1,f(f(f(X2,X3),X1),f(f(X2,X2),X1))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.388.0.0']),
% 49.37/49.85 [weight('<265,362,235,[0,0,0,3]>')]).
% 49.37/49.85 cnf('0.388.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(f(X2,X3),X1),f(f(X2,X2),X1))) = f(X1,f(X2,X3)) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.388.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_372]).
% 49.37/49.85 cnf('0.389.0.0',plain,
% 49.37/49.85 ( f(X1,f(f(X2,f(X2,X2)),X3)) = f(X1,f(f(f(X3,X3),X1),f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X1))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.388.2.0','0.56.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.1.1','R')]).
% 49.37/49.85 cnf('0.389.0.1',plain,
% 49.37/49.85 ( f(X1,f(f(X2,f(X2,X2)),X3)) = f(X1,f(f(f(X3,X3),X1),f(X2,f(X2,X2)))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.389.0.0','0.110.2.0',theory(equality)]),
% 49.37/49.85 [pos('R.2.2','L')]).
% 49.37/49.85 cnf('0.389.0.2',plain,
% 49.37/49.85 ( f(X1,f(f(X2,f(X2,X2)),X3)) = f(f(X3,X3),X1) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.389.0.1','0.80.2.0',theory(equality)]),
% 49.37/49.85 [pos('R','L')]).
% 49.37/49.85 cnf('0.389.1.0',plain,
% 49.37/49.85 ( f(X1,f(f(X2,f(X2,X2)),X3)) = f(f(X3,X3),X1) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.389.0.2']),
% 49.37/49.85 [weight('<224,388,56,[1,0,1,4]>')]).
% 49.37/49.85 cnf('0.389.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X2,f(X2,X2)),X3)) = f(f(X3,X3),X1) ),
% 49.37/49.85 inference(activate,[status(thm)],['0.389.1.0']),
% 49.37/49.85 [equation_17]).
% 49.37/49.85 cnf('0.389.2.2',plain,
% 49.37/49.85 ( f(X2,f(f(x2,f(x2,x2)),X1)) = f(f(X1,X1),X2) ),
% 49.37/49.85 inference(instl,[status(thm)],['0.389.2.0',theory(equality)])).
% 49.37/49.85 cnf('0.390.0.0',plain,
% 49.37/49.85 ( f(f(f(f(X1,X2),f(X2,X1)),f(f(X1,X2),f(X2,X1))),X3) = f(X3,f(X1,X2)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.389.2.0','0.371.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.390.0.1',plain,
% 49.37/49.85 ( f(f(X2,X1),X3) = f(X3,f(X1,X2)) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.390.0.0','0.382.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.390.1.0',plain,
% 49.37/49.85 ( f(f(X2,X1),X3) = f(X3,f(X1,X2)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.390.0.1']),
% 49.37/49.85 [weight('<120,389,371,[1,0,0,2]>')]).
% 49.37/49.85 cnf('0.390.2.0',plain,
% 49.37/49.85 ( f(f(X1,X2),X3) = f(X3,f(X2,X1)) ),
% 49.37/49.85 inference(activate,[status(thm)],['0.390.1.0']),
% 49.37/49.85 [equation_18]).
% 49.37/49.85 cnf('0.394.0.0',plain,
% 49.37/49.85 ( f(X1,f(X2,f(X3,X4))) = f(f(X2,f(X4,X3)),X1) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.390.2.0','0.390.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.394.1.0',plain,
% 49.37/49.85 ( f(X1,f(X2,f(X3,X4))) = f(f(X2,f(X4,X3)),X1) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.394.0.0']),
% 49.37/49.85 [weight('<224,390,390,[0,0,0,1]>')]).
% 49.37/49.85 cnf('0.394.2.0',plain,
% 49.37/49.85 ( f(X1,f(X2,f(X3,X4))) = f(f(X2,f(X4,X3)),X1) ),
% 49.37/49.85 inference(activate,[status(thm)],['0.394.1.0']),
% 49.37/49.85 [equation_22]).
% 49.37/49.85 cnf('0.396.0.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X3,X4)) = f(f(X2,X1),f(X4,X3)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.390.2.0','0.390.2.0',theory(equality)]),
% 49.37/49.85 [pos('R','L')]).
% 49.37/49.85 cnf('0.396.1.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X3,X4)) = f(f(X2,X1),f(X4,X3)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.396.0.0']),
% 49.37/49.85 [weight('<224,390,390,[1,1,0,0]>')]).
% 49.37/49.85 cnf('0.396.2.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X3,X4)) = f(f(X2,X1),f(X4,X3)) ),
% 49.37/49.85 inference(activate,[status(thm)],['0.396.1.0']),
% 49.37/49.85 [equation_24]).
% 49.37/49.85 cnf('0.397.0.0',plain,
% 49.37/49.85 ( f(f(X1,f(X2,X3)),X4) = f(X4,f(f(X3,X2),X1)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.394.2.0','0.362.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.397.1.0',plain,
% 49.37/49.85 ( f(f(X1,f(X2,X3)),X4) = f(X4,f(f(X3,X2),X1)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.397.0.0']),
% 49.37/49.85 [weight('<224,394,362,[1,0,0,2]>')]).
% 49.37/49.85 cnf('0.397.2.0',plain,
% 49.37/49.85 ( f(f(X1,f(X2,X3)),X4) = f(X4,f(f(X3,X2),X1)) ),
% 49.37/49.85 inference(activate,[status(thm)],['0.397.1.0']),
% 49.37/49.85 [equation_25]).
% 49.37/49.85 cnf('0.399.0.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X3,X4)) = f(f(X4,X3),f(X2,X1)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.396.2.0','0.362.2.0',theory(equality)]),
% 49.37/49.85 [pos('L','L')]).
% 49.37/49.85 cnf('0.399.1.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X3,X4)) = f(f(X4,X3),f(X2,X1)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.399.0.0']),
% 49.37/49.85 [weight('<224,396,362,[1,0,0,0]>')]).
% 49.37/49.85 cnf('0.399.2.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X3,X4)) = f(f(X4,X3),f(X2,X1)) ),
% 49.37/49.85 inference(activate,[status(thm)],['0.399.1.0']),
% 49.37/49.85 [equation_27]).
% 49.37/49.85 cnf('0.421.0.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,f(f(X1,X2),X3)),f(X1,X2))) = f(X1,f(f(X1,X2),X3)) ),
% 49.37/49.85 inference(interreduction_right,[status(thm)],['0.127.2.0'])).
% 49.37/49.85 cnf('0.421.1.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,f(f(X1,X2),X3)),f(X1,X2))) = f(X1,f(f(X1,X2),X3)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.421.0.0']),
% 49.37/49.85 [weight('<293,127,362,[0,0,0,0]>')]).
% 49.37/49.85 cnf('0.421.1.1',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X2),f(f(X3,f(X1,X2)),X1))) = f(X1,f(f(X1,X2),X3)) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.421.1.0','0.397.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.421.1.2',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X2),f(X1,f(f(X2,X1),X3)))) = f(X1,f(f(X1,X2),X3)) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.421.1.1','0.397.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.2','L')]).
% 49.37/49.85 cnf('0.421.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X2),f(X1,f(f(X2,X1),X3)))) = f(X1,f(f(X1,X2),X3)) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.421.1.2',theory(equality)]),
% 49.37/49.85 [u,rule_388]).
% 49.37/49.85 cnf('0.422.0.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X2),f(X2,X3))) = f(X1,X2) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.421.2.0','0.212.2.0',theory(equality)]),
% 49.37/49.85 [pos('L','L')]).
% 49.37/49.85 cnf('0.422.1.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X2),f(X2,X3))) = f(X1,X2) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.422.0.0']),
% 49.37/49.85 [weight('<129,421,212,[1,0,0,0]>')]).
% 49.37/49.85 cnf('0.422.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X1,X2),f(X2,X3))) = f(X1,X2) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.422.1.0',theory(equality)]),
% 49.37/49.85 [u,rule_389]).
% 49.37/49.85 cnf('0.424.0.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(X1,f(f(X2,X3),f(X1,X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.422.2.0','0.362.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.424.1.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(X1,f(f(X2,X3),f(X1,X2))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.424.0.0']),
% 49.37/49.85 [weight('<129,422,362,[1,0,0,2]>')]).
% 49.37/49.85 cnf('0.424.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X2,X3),f(X1,X2))) = f(X1,X2) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.424.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_391]).
% 49.37/49.85 cnf('0.426.0.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(X1,f(f(X2,X3),f(X2,X1))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.422.2.0','0.390.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.426.1.0',plain,
% 49.37/49.85 ( f(X1,X2) = f(X1,f(f(X2,X3),f(X2,X1))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.426.0.0']),
% 49.37/49.85 [weight('<129,422,390,[1,0,0,2]>')]).
% 49.37/49.85 cnf('0.426.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X2,X3),f(X2,X1))) = f(X1,X2) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.426.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_393]).
% 49.37/49.85 cnf('0.432.0.0',plain,
% 49.37/49.85 ( f(X1,f(X2,X3)) = f(X1,f(X2,f(X1,f(X2,X3)))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.424.2.0','0.11.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2.1','L')]).
% 49.37/49.85 cnf('0.432.1.0',plain,
% 49.37/49.85 ( f(X1,f(X2,X3)) = f(X1,f(X2,f(X1,f(X2,X3)))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.432.0.0']),
% 49.37/49.85 [weight('<149,424,11,[1,0,0,3]>')]).
% 49.37/49.85 cnf('0.432.2.0',plain,
% 49.37/49.85 ( f(X1,f(X2,f(X1,f(X2,X3)))) = f(X1,f(X2,X3)) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.432.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_399]).
% 49.37/49.85 cnf('0.507.0.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,f(f(X3,X2),f(X2,X4)))) = f(f(X1,X2),f(X1,X2)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.432.2.0','0.172.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.507.1.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,f(f(X3,X2),f(X2,X4)))) = f(f(X1,X2),f(X1,X2)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.507.0.0']),
% 49.37/49.85 [weight('<293,432,172,[1,0,0,2]>')]).
% 49.37/49.85 cnf('0.507.2.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,f(f(X3,X2),f(X2,X4)))) = f(f(X1,X2),f(X1,X2)) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.507.1.0',theory(equality)]),
% 49.37/49.85 [u,rule_474]).
% 49.37/49.85 cnf('0.508.0.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,f(f(X2,X3),f(X2,X4)))) = f(f(X1,X2),f(X1,X2)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.432.2.0','0.212.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.508.1.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,f(f(X2,X3),f(X2,X4)))) = f(f(X1,X2),f(X1,X2)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.508.0.0']),
% 49.37/49.85 [weight('<293,432,212,[1,0,0,2]>')]).
% 49.37/49.85 cnf('0.508.2.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,f(f(X2,X3),f(X2,X4)))) = f(f(X1,X2),f(X1,X2)) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.508.1.0',theory(equality)]),
% 49.37/49.85 [u,rule_475]).
% 49.37/49.85 cnf('0.518.0.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,f(f(X3,X2),f(X4,X2)))) = f(f(X1,X2),f(X1,X2)) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.432.2.0','0.213.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.518.1.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,f(f(X3,X2),f(X4,X2)))) = f(f(X1,X2),f(X1,X2)) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.518.0.0']),
% 49.37/49.85 [weight('<293,432,213,[1,0,0,2]>')]).
% 49.37/49.85 cnf('0.518.2.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,f(f(X3,X2),f(X4,X2)))) = f(f(X1,X2),f(X1,X2)) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.518.1.0',theory(equality)]),
% 49.37/49.85 [u,rule_477]).
% 49.37/49.85 cnf('0.529.0.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,X2)) = f(f(X2,X1),f(X1,f(f(X2,X3),f(X2,X4)))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.508.2.0','0.362.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.529.1.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X1,X2)) = f(f(X2,X1),f(X1,f(f(X2,X3),f(X2,X4)))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.529.0.0']),
% 49.37/49.85 [weight('<293,508,362,[1,0,0,1]>')]).
% 49.37/49.85 cnf('0.529.2.0',plain,
% 49.37/49.85 ( f(f(X1,X2),f(X2,f(f(X1,X3),f(X1,X4)))) = f(f(X2,X1),f(X2,X1)) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.529.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_485]).
% 49.37/49.85 cnf('0.1063.0.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X2,X3)),X4) = f(f(f(X1,X2),f(X2,X3)),f(f(X4,X2),f(X4,X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.426.2.0','0.507.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.1063.1.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X2,X3)),X4) = f(f(f(X1,X2),f(X2,X3)),f(f(X4,X2),f(X4,X2))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.1063.0.0']),
% 49.37/49.85 [weight('<399,507,426,[0,0,0,2]>')]).
% 49.37/49.85 cnf('0.1063.2.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X2,X3)),f(f(X4,X2),f(X4,X2))) = f(f(f(X1,X2),f(X2,X3)),X4) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.1063.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_942]).
% 49.37/49.85 cnf('0.1348.0.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X3,X2)),X4) = f(f(f(X1,X2),f(X3,X2)),f(f(X4,X2),f(X4,X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.426.2.0','0.518.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.1348.1.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X3,X2)),X4) = f(f(f(X1,X2),f(X3,X2)),f(f(X4,X2),f(X4,X2))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.1348.0.0']),
% 49.37/49.85 [weight('<399,518,426,[0,0,0,2]>')]).
% 49.37/49.85 cnf('0.1348.2.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X3,X2)),f(f(X4,X2),f(X4,X2))) = f(f(f(X1,X2),f(X3,X2)),X4) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.1348.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_1213]).
% 49.37/49.85 cnf('0.1372.0.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X2,X3)),X4) = f(f(f(X4,X2),f(X4,X2)),f(f(X1,X2),f(X2,X3))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.1063.2.0','0.362.2.0',theory(equality)]),
% 49.37/49.85 [pos('L','L')]).
% 49.37/49.85 cnf('0.1372.1.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X2,X3)),X4) = f(f(f(X4,X2),f(X4,X2)),f(f(X1,X2),f(X2,X3))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.1372.0.0']),
% 49.37/49.85 [weight('<399,1063,362,[1,0,0,0]>')]).
% 49.37/49.85 cnf('0.1372.2.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X1,X2)),f(f(X3,X2),f(X2,X4))) = f(f(f(X3,X2),f(X2,X4)),X1) ),
% 49.37/49.85 inference(orient,[status(thm)],['0.1372.1.0',theory(equality)]),
% 49.37/49.85 [x,rule_1218]).
% 49.37/49.85 cnf('0.1373.0.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X2,f(f(X1,X2),f(X1,X2)))),X3) = f(f(f(X3,X2),f(X3,X2)),f(f(X1,X2),f(X1,X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.1372.2.0','0.20.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('0.1373.0.1',plain,
% 49.37/49.85 ( f(f(f(X2,X1),f(X2,X1)),X3) = f(f(f(X3,X2),f(X3,X2)),f(f(X1,X2),f(X1,X2))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.1373.0.0','0.529.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.1','L')]).
% 49.37/49.85 cnf('0.1373.0.2',plain,
% 49.37/49.85 ( f(f(f(X2,X1),f(X2,X1)),X3) = f(f(f(X3,X2),f(X3,X2)),X1) ),
% 49.37/49.85 inference(reduction,[status(thm)],['0.1373.0.1','0.1348.2.0',theory(equality)]),
% 49.37/49.85 [pos('R','L')]).
% 49.37/49.85 cnf('0.1373.1.0',plain,
% 49.37/49.85 ( f(f(f(X2,X1),f(X2,X1)),X3) = f(f(f(X3,X2),f(X3,X2)),X1) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.1373.0.2']),
% 49.37/49.85 [weight('<360,1372,20,[1,0,0,8]>')]).
% 49.37/49.85 cnf('0.1373.2.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X1,X2)),X3) = f(f(f(X3,X1),f(X3,X1)),X2) ),
% 49.37/49.85 inference(activate,[status(thm)],['0.1373.1.0']),
% 49.37/49.85 [equation_155]).
% 49.37/49.85 cnf('0.1375.0.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X1,X2)),X3) = f(X1,f(f(X2,X3),f(X2,X3))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.1373.2.0','0.362.2.0',theory(equality)]),
% 49.37/49.85 [pos('L','L')]).
% 49.37/49.85 cnf('0.1375.1.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X1,X2)),X3) = f(X1,f(f(X2,X3),f(X2,X3))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.1375.0.0']),
% 49.37/49.85 [weight('<360,1373,362,[1,0,0,0]>')]).
% 49.37/49.85 cnf('0.1375.2.0',plain,
% 49.37/49.85 ( f(f(f(X1,X2),f(X1,X2)),X3) = f(X1,f(f(X2,X3),f(X2,X3))) ),
% 49.37/49.85 inference(activate,[status(thm)],['0.1375.1.0']),
% 49.37/49.85 [equation_157]).
% 49.37/49.85 cnf('0.1389.0.0',plain,
% 49.37/49.85 ( f(X1,f(f(X2,X3),f(X2,X3))) = f(X3,f(f(X1,X2),f(X1,X2))) ),
% 49.37/49.85 inference(cp,[status(thm)],['0.1375.2.0','0.362.2.0',theory(equality)]),
% 49.37/49.85 [pos('L','L')]).
% 49.37/49.85 cnf('0.1389.1.0',plain,
% 49.37/49.85 ( f(X1,f(f(X2,X3),f(X2,X3))) = f(X3,f(f(X1,X2),f(X1,X2))) ),
% 49.37/49.85 inference(weigh,[status(thm)],['0.1389.0.0']),
% 49.37/49.85 [weight('<360,1375,362,[1,0,0,0]>')]).
% 49.37/49.85 cnf('0.1389.2.0',plain,
% 49.37/49.85 ( f(X1,f(f(X2,X3),f(X2,X3))) = f(X3,f(f(X1,X2),f(X1,X2))) ),
% 49.37/49.85 inference(activate,[status(thm)],['0.1389.1.0']),
% 49.37/49.85 [equation_170]).
% 49.37/49.85 cnf('1.0.0.0',conjecture,
% 49.37/49.85 ( f(x0,f(f(x1,x2),f(x1,x2))) = f(x1,f(f(x0,x2),f(x0,x2))) ),
% 49.37/49.85 file('/tmp/WALDMEISTER_1089_n032',conjecture_1)).
% 49.37/49.85 cnf('1.0.0.1',plain,
% 49.37/49.85 ( f(x1,f(f(x2,x0),f(x2,x0))) = f(x1,f(f(x0,x2),f(x0,x2))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['1.0.0.0','0.1389.2.0',theory(equality)]),
% 49.37/49.85 [pos('L','R')]).
% 49.37/49.85 cnf('1.0.0.2',plain,
% 49.37/49.85 ( f(x2,f(f(x0,x1),f(x0,x1))) = f(x1,f(f(x0,x2),f(x0,x2))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['1.0.0.1','0.1389.2.0',theory(equality)]),
% 49.37/49.85 [pos('L','R')]).
% 49.37/49.85 cnf('1.0.0.3',plain,
% 49.37/49.85 ( f(x2,f(f(x1,x0),f(x1,x0))) = f(x1,f(f(x0,x2),f(x0,x2))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['1.0.0.2','0.399.2.0',theory(equality)]),
% 49.37/49.85 [pos('L.2','L')]).
% 49.37/49.85 cnf('1.0.0.4',plain,
% 49.37/49.85 ( f(x2,f(f(x1,x0),f(x1,x0))) = f(x2,f(f(x1,x0),f(x1,x0))) ),
% 49.37/49.85 inference(reduction,[status(thm)],['1.0.0.3','0.1389.2.0',theory(equality)]),
% 49.37/49.85 [pos('R','L')]).
% 49.37/49.85 cnf('1.0.0.5',plain,
% 49.37/49.85 ( $true ),
% 49.37/49.85 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 49.37/49.85 [conjecture_1]).
% 49.37/49.85
% 49.37/49.85 Proved Goals:
% 49.37/49.85 No. 1: f(x0,f(f(x1,x2),f(x1,x2))) ?= f(x1,f(f(x0,x2),f(x0,x2))) joined, current: f(x2,f(f(x1,x0),f(x1,x0))) = f(x2,f(f(x1,x0),f(x1,x0)))
% 49.37/49.85 1 goal was specified, which was proved.
% 49.37/49.85 % SZS output end CNFRefutation
% 49.37/49.85 #END OF PROOF
% 49.37/49.85
% 49.37/49.85 Problem WALDMEISTER_1089_n032
% 49.37/49.85 CPs.gen 6559791
% 49.37/49.85 CPs.reexp 0
% 49.37/49.85 Select 822446
% 49.37/49.85 R 1219
% 49.37/49.85 E 170
% 49.37/49.85 vsize 9.7M
% 49.37/49.85 rss 8.6M
% 49.37/49.85 process.time 48.902s
% 49.37/49.85 wallclock.time 48.910s
% 49.37/49.85 status S
% 49.37/49.85
% 49.37/49.85
% 49.37/49.85 Waldmeister states: Goal proved.
% 49.37/49.85 % SZS status Unsatisfiable
%------------------------------------------------------------------------------