TSTP Solution File: LAT072-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT072-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n027.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 07:15:01 EDT 2022
% Result : Unsatisfiable 268.21s 268.63s
% Output : CNFRefutation 268.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT072-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.11 % Command : woody %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jun 30 11:15:36 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.55/0.96 ********************************************************************************
% 0.55/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.55/0.96 * |/ | \/ | *
% 0.55/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.55/0.96 * A. Jaeger and B. Loechner | | *
% 0.55/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.55/0.96 ********************************************************************************
% 0.55/0.96
% 0.55/0.96
% 0.55/0.96 Goals:
% 0.55/0.96 ------
% 0.55/0.96
% 0.55/0.96 ( 1) f(a,f(f(b,c),f(b,c))) ?=? f(c,f(f(b,a),f(b,a)))
% 0.55/0.96
% 0.55/0.96 Detected structure: Orkus
% 0.55/0.96 ********************************************************************************
% 0.55/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.55/0.96 ********************************************************************************
% 0.55/0.96
% 268.21/268.63 joined goal: 1 f(a,f(f(b,c),f(b,c))) ?= f(c,f(f(b,a),f(b,a))) to f(c,f(f(a,b),f(a,b)))
% 268.21/268.63 goal joined
% 268.21/268.63 % SZS status Unsatisfiable
% 268.21/268.63 #START OF PROOF
% 268.21/268.63 % SZS output start CNFRefutation
% 268.21/268.63 cnf('0.1.0.0',axiom,
% 268.21/268.63 ( X1 = f(f(f(f(X2,X1),f(X1,X3)),X4),f(X1,f(f(X3,f(f(X1,X1),X3)),X3))) ),
% 268.21/268.63 file('/tmp/WALDMEISTER_19818_n027')).
% 268.21/268.63 cnf('0.1.1.0',plain,
% 268.21/268.63 ( X1 = f(f(f(f(X2,X1),f(X1,X3)),X4),f(X1,f(f(X3,f(f(X1,X1),X3)),X3))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.1.0.0']),
% 268.21/268.63 [weight('<0,0,0,[0,0,0,1]>')]).
% 268.21/268.63 cnf('0.1.2.0',plain,
% 268.21/268.63 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X3,f(f(X2,X2),X3)),X3))) = X2 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_1]).
% 268.21/268.63 cnf('0.2.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(X3,f(f(f(X1,X2),f(X1,X2)),X3)),X3))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.2.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(X3,f(f(f(X1,X2),f(X1,X2)),X3)),X3))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.2.0.0']),
% 268.21/268.63 [weight('<?,1,1,[0,0,0,1]>')]).
% 268.21/268.63 cnf('0.2.2.0',plain,
% 268.21/268.63 ( f(X1,f(f(X1,X2),f(f(X3,f(f(f(X1,X2),f(X1,X2)),X3)),X3))) = f(X1,X2) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_2]).
% 268.21/268.63 cnf('0.3.0.0',plain,
% 268.21/268.63 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X3,f(f(X2,X2),X3)),X3))) = f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X5,f(f(f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X3,f(f(X2,X2),X3)),X3))),f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X3,f(f(X2,X2),X3)),X3)))),X5)),X5))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.1','L')]).
% 268.21/268.63 cnf('0.3.0.1',plain,
% 268.21/268.63 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X5,f(f(f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X3,f(f(X2,X2),X3)),X3))),f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X3,f(f(X2,X2),X3)),X3)))),X5)),X5))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.3.0.0','0.1.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','L')]).
% 268.21/268.63 cnf('0.3.0.2',plain,
% 268.21/268.63 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X5,f(f(X2,f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X3,f(f(X2,X2),X3)),X3)))),X5)),X5))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.3.0.1','0.1.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2.2.1.2.1.1','L')]).
% 268.21/268.63 cnf('0.3.0.3',plain,
% 268.21/268.63 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X5,f(f(X2,X2),X5)),X5))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.3.0.2','0.1.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2.2.1.2.1.2','L')]).
% 268.21/268.63 cnf('0.3.1.0',plain,
% 268.21/268.63 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X5,f(f(X2,X2),X5)),X5))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.3.0.3']),
% 268.21/268.63 [weight('<505,2,1,[1,0,0,3]>')]).
% 268.21/268.63 cnf('0.3.2.0',plain,
% 268.21/268.63 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X5,f(f(X2,X2),X5)),X5))) = X2 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_3]).
% 268.21/268.63 cnf('0.4.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X2),f(X1,f(f(X3,f(f(X1,X1),X3)),X3))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1.1','L')]).
% 268.21/268.63 cnf('0.4.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X2),f(X1,f(f(X3,f(f(X1,X1),X3)),X3))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.4.0.0']),
% 268.21/268.63 [weight('<271,3,3,[0,0,0,2]>')]).
% 268.21/268.63 cnf('0.4.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,f(f(X3,f(f(X1,X1),X3)),X3))) = X1 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_4]).
% 268.21/268.63 cnf('0.5.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,X1),f(X1,f(f(X3,f(f(X1,X1),X3)),X3))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.5.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,X1),f(X1,f(f(X3,f(f(X1,X1),X3)),X3))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.5.0.0']),
% 268.21/268.63 [weight('<271,4,3,[0,0,0,1]>')]).
% 268.21/268.63 cnf('0.5.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X2,f(f(X3,f(f(X2,X2),X3)),X3))) = X2 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_5]).
% 268.21/268.63 cnf('0.6.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X2),f(X1,f(f(X1,X1),f(f(f(X1,X1),f(f(f(X1,X1),f(X1,X1)),f(X1,X1))),f(X1,X1))))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.2.1','L')]).
% 268.21/268.63 cnf('0.6.0.1',plain,
% 268.21/268.63 ( X1 = f(f(X1,X2),f(X1,X1)) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.6.0.0','0.2.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2','L')]).
% 268.21/268.63 cnf('0.6.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X2),f(X1,X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.6.0.1']),
% 268.21/268.63 [weight('<71,5,4,[0,0,0,7]>')]).
% 268.21/268.63 cnf('0.6.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,X1)) = X1 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_6]).
% 268.21/268.63 cnf('0.7.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,X1),f(X1,f(f(f(X1,f(f(X3,f(f(X1,X1),X3)),X3)),X1),f(X1,f(f(X3,f(f(X1,X1),X3)),X3))))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.2.1.2','L')]).
% 268.21/268.63 cnf('0.7.0.1',plain,
% 268.21/268.63 ( X1 = f(f(X2,X1),f(X1,X1)) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.7.0.0','0.5.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2.2','L')]).
% 268.21/268.63 cnf('0.7.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,X1),f(X1,X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.7.0.1']),
% 268.21/268.63 [weight('<71,5,4,[1,0,0,9]>')]).
% 268.21/268.63 cnf('0.7.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X2,X2)) = X2 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_7]).
% 268.21/268.63 cnf('0.8.0.0',plain,
% 268.21/268.63 ( f(X1,X1) = f(f(f(X1,X1),X2),X1) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.6.2.0','0.6.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.8.1.0',plain,
% 268.21/268.63 ( f(X1,X1) = f(f(f(X1,X1),X2),X1) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.8.0.0']),
% 268.21/268.63 [weight('<87,6,6,[0,0,0,4]>')]).
% 268.21/268.63 cnf('0.8.2.0',plain,
% 268.21/268.63 ( f(f(f(X1,X1),X2),X1) = f(X1,X1) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_8]).
% 268.21/268.63 cnf('0.10.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(f(X1,X2),f(X1,X2)),f(f(f(f(X1,X2),f(X1,X2)),f(f(f(f(X1,X2),f(X1,X2)),f(f(X1,X2),f(X1,X2))),f(f(X1,X2),f(X1,X2)))),f(f(X1,X2),f(X1,X2)))))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.2.2.0','0.5.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.2.1','L')]).
% 268.21/268.63 cnf('0.10.0.1',plain,
% 268.21/268.63 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X1,X2))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.10.0.0','0.2.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2','L')]).
% 268.21/268.63 cnf('0.10.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X1,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.10.0.1']),
% 268.21/268.63 [weight('<129,5,2,[0,0,0,7]>')]).
% 268.21/268.63 cnf('0.10.2.0',plain,
% 268.21/268.63 ( f(X1,f(f(X1,X2),f(X1,X2))) = f(X1,X2) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_10]).
% 268.21/268.63 cnf('0.11.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(X2,f(f(X1,X2),f(X1,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.6.2.0','0.5.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.11.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(X2,f(f(X1,X2),f(X1,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.11.0.0']),
% 268.21/268.63 [weight('<129,6,5,[1,0,0,1]>')]).
% 268.21/268.63 cnf('0.11.2.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X1),f(X2,X1))) = f(X2,X1) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_11]).
% 268.21/268.63 cnf('0.15.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X2),f(X1,f(f(f(f(f(X1,X1),X3),f(f(X1,X1),X3)),f(f(X1,X1),X3)),f(f(f(X1,X1),X3),f(f(X1,X1),X3))))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.4.2.0','0.10.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.2.1.2','L')]).
% 268.21/268.63 cnf('0.15.0.1',plain,
% 268.21/268.63 ( X1 = f(f(X1,X2),f(X1,f(f(X1,X1),X3))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.15.0.0','0.7.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2.2','L')]).
% 268.21/268.63 cnf('0.15.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X2),f(X1,f(f(X1,X1),X3))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.15.0.1']),
% 268.21/268.63 [weight('<155,10,4,[0,0,0,9]>')]).
% 268.21/268.63 cnf('0.15.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,f(f(X1,X1),X3))) = X1 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_15]).
% 268.21/268.63 cnf('0.16.0.0',plain,
% 268.21/268.63 ( f(X1,f(f(X1,X1),X2)) = f(X1,X1) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.10.2.0','0.15.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.16.1.0',plain,
% 268.21/268.63 ( f(X1,f(f(X1,X1),X2)) = f(X1,X1) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.16.0.0']),
% 268.21/268.63 [weight('<87,15,10,[0,0,0,2]>')]).
% 268.21/268.63 cnf('0.16.2.0',plain,
% 268.21/268.63 ( f(X1,f(f(X1,X1),X2)) = f(X1,X1) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 268.21/268.63 [u,rule_16]).
% 268.21/268.63 cnf('0.17.0.0',plain,
% 268.21/268.63 ( f(f(X1,X1),f(X1,X1)) = f(f(X1,X1),f(X1,X2)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.16.2.0','0.6.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.1','L')]).
% 268.21/268.63 cnf('0.17.0.1',plain,
% 268.21/268.63 ( X1 = f(f(X1,X1),f(X1,X2)) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.17.0.0','0.7.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','L')]).
% 268.21/268.63 cnf('0.17.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X1),f(X1,X2)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.17.0.1']),
% 268.21/268.63 [weight('<71,16,6,[1,0,0,3]>')]).
% 268.21/268.63 cnf('0.17.2.0',plain,
% 268.21/268.63 ( f(f(X1,X1),f(X1,X2)) = X1 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_17]).
% 268.21/268.63 cnf('0.18.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X1),f(X2,X1)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.17.2.0','0.11.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.18.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X1),f(X2,X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.18.0.0']),
% 268.21/268.63 [weight('<71,17,11,[1,0,0,4]>')]).
% 268.21/268.63 cnf('0.18.2.0',plain,
% 268.21/268.63 ( f(f(X1,X1),f(X2,X1)) = X1 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_18]).
% 268.21/268.63 cnf('0.19.0.0',plain,
% 268.21/268.63 ( f(X1,X1) = f(X1,f(X2,f(X1,X1))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.16.2.0','0.11.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.19.1.0',plain,
% 268.21/268.63 ( f(X1,X1) = f(X1,f(X2,f(X1,X1))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.19.0.0']),
% 268.21/268.63 [weight('<87,16,11,[1,0,0,2]>')]).
% 268.21/268.63 cnf('0.19.2.0',plain,
% 268.21/268.63 ( f(X1,f(X2,f(X1,X1))) = f(X1,X1) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_19]).
% 268.21/268.63 cnf('0.20.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(f(X1,X2),f(X1,X2)),X1) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.17.2.0','0.4.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.20.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(f(X1,X2),f(X1,X2)),X1) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.20.0.0']),
% 268.21/268.63 [weight('<129,17,4,[1,0,0,4]>')]).
% 268.21/268.63 cnf('0.20.2.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X1,X2)),X1) = f(X1,X2) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_20]).
% 268.21/268.63 cnf('0.22.0.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,f(f(X1,X1),X2)),X2)) = f(X1,f(f(X1,f(f(X2,f(f(X1,X1),X2)),X2)),f(X1,f(f(X2,f(f(X1,X1),X2)),X2)))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.22.0.1',plain,
% 268.21/268.63 ( f(X1,f(f(X2,f(f(X1,X1),X2)),X2)) = f(X1,X1) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.22.0.0','0.4.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2','L')]).
% 268.21/268.63 cnf('0.22.1.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,f(f(X1,X1),X2)),X2)) = f(X1,X1) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.22.0.1']),
% 268.21/268.63 [weight('<179,7,3,[1,0,0,1]>')]).
% 268.21/268.63 cnf('0.22.2.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,f(f(X1,X1),X2)),X2)) = f(X1,X1) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 268.21/268.63 [u,rule_22]).
% 268.21/268.63 cnf('0.30.0.0',plain,
% 268.21/268.63 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X5,f(f(X2,X2),X5)),X5))) = X2 ),
% 268.21/268.63 inference(interreduction_right,[status(thm)],['0.3.2.0'])).
% 268.21/268.63 cnf('0.30.0.1',plain,
% 268.21/268.63 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,X2)) = X2 ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.30.0.0','0.22.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.30.1.0',plain,
% 268.21/268.63 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,X2)) = X2 ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.30.0.1']),
% 268.21/268.63 [weight('<209,3,22,[0,0,0,0]>')]).
% 268.21/268.63 cnf('0.30.2.0',plain,
% 268.21/268.63 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,X2)) = X2 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 268.21/268.63 [u,rule_30]).
% 268.21/268.63 cnf('0.32.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,f(f(X3,X1),f(X1,X4))),f(X1,X1)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.30.2.0','0.11.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.32.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,f(f(X3,X1),f(X1,X4))),f(X1,X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.32.0.0']),
% 268.21/268.63 [weight('<209,30,11,[1,0,0,1]>')]).
% 268.21/268.63 cnf('0.32.2.0',plain,
% 268.21/268.63 ( f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,X3)) = X3 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_32]).
% 268.21/268.63 cnf('0.33.0.0',plain,
% 268.21/268.63 ( X1 = f(f(f(f(X2,X1),f(X3,X1)),X4),f(X1,X1)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.30.2.0','0.11.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1.1.2','L')]).
% 268.21/268.63 cnf('0.33.1.0',plain,
% 268.21/268.63 ( X1 = f(f(f(f(X2,X1),f(X3,X1)),X4),f(X1,X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.33.0.0']),
% 268.21/268.63 [weight('<209,30,11,[1,0,0,6]>')]).
% 268.21/268.63 cnf('0.33.2.0',plain,
% 268.21/268.63 ( f(f(f(f(X1,X2),f(X3,X2)),X4),f(X2,X2)) = X2 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_33]).
% 268.21/268.63 cnf('0.34.0.0',plain,
% 268.21/268.63 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,X2)) = f(f(X2,f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,X2))),f(f(f(X1,X2),f(X2,X3)),X4)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.20.2.0','0.30.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1.1','L')]).
% 268.21/268.63 cnf('0.34.0.1',plain,
% 268.21/268.63 ( X2 = f(f(X2,f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,X2))),f(f(f(X1,X2),f(X2,X3)),X4)) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.34.0.0','0.30.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','L')]).
% 268.21/268.63 cnf('0.34.0.2',plain,
% 268.21/268.63 ( X2 = f(f(X2,X2),f(f(f(X1,X2),f(X2,X3)),X4)) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.34.0.1','0.19.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.1','L')]).
% 268.21/268.63 cnf('0.34.1.0',plain,
% 268.21/268.63 ( X2 = f(f(X2,X2),f(f(f(X1,X2),f(X2,X3)),X4)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.34.0.2']),
% 268.21/268.63 [weight('<209,30,20,[0,0,0,2]>')]).
% 268.21/268.63 cnf('0.34.2.0',plain,
% 268.21/268.63 ( f(f(X1,X1),f(f(f(X2,X1),f(X1,X3)),X4)) = X1 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_34]).
% 268.21/268.63 cnf('0.37.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,f(f(X3,X1),f(X4,X1))),f(X1,X1)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.32.2.0','0.11.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1.2.2','L')]).
% 268.21/268.63 cnf('0.37.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,f(f(X3,X1),f(X4,X1))),f(X1,X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.37.0.0']),
% 268.21/268.63 [weight('<209,32,11,[1,0,0,7]>')]).
% 268.21/268.63 cnf('0.37.2.0',plain,
% 268.21/268.63 ( f(f(X1,f(f(X2,X3),f(X4,X3))),f(X3,X3)) = X3 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_37]).
% 268.21/268.63 cnf('0.38.0.0',plain,
% 268.21/268.63 ( f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,X3)) = f(f(X3,f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,X3))),f(X1,f(f(X2,X3),f(X3,X4)))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.20.2.0','0.32.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1.1','L')]).
% 268.21/268.63 cnf('0.38.0.1',plain,
% 268.21/268.63 ( X3 = f(f(X3,f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,X3))),f(X1,f(f(X2,X3),f(X3,X4)))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.38.0.0','0.32.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','L')]).
% 268.21/268.63 cnf('0.38.0.2',plain,
% 268.21/268.63 ( X3 = f(f(X3,X3),f(X1,f(f(X2,X3),f(X3,X4)))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.38.0.1','0.19.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.1','L')]).
% 268.21/268.63 cnf('0.38.1.0',plain,
% 268.21/268.63 ( X3 = f(f(X3,X3),f(X1,f(f(X2,X3),f(X3,X4)))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.38.0.2']),
% 268.21/268.63 [weight('<209,32,20,[0,0,0,2]>')]).
% 268.21/268.63 cnf('0.38.2.0',plain,
% 268.21/268.63 ( f(f(X1,X1),f(X2,f(f(X3,X1),f(X1,X4)))) = X1 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_38]).
% 268.21/268.63 cnf('0.40.0.0',plain,
% 268.21/268.63 ( f(f(f(f(X1,X2),f(X3,X2)),X4),f(X2,X2)) = f(f(X2,f(f(f(f(X1,X2),f(X3,X2)),X4),f(X2,X2))),f(f(f(X1,X2),f(X3,X2)),X4)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.20.2.0','0.33.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1.1','L')]).
% 268.21/268.63 cnf('0.40.0.1',plain,
% 268.21/268.63 ( X2 = f(f(X2,f(f(f(f(X1,X2),f(X3,X2)),X4),f(X2,X2))),f(f(f(X1,X2),f(X3,X2)),X4)) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.40.0.0','0.33.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','L')]).
% 268.21/268.63 cnf('0.40.0.2',plain,
% 268.21/268.63 ( X2 = f(f(X2,X2),f(f(f(X1,X2),f(X3,X2)),X4)) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.40.0.1','0.19.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.1','L')]).
% 268.21/268.63 cnf('0.40.1.0',plain,
% 268.21/268.63 ( X2 = f(f(X2,X2),f(f(f(X1,X2),f(X3,X2)),X4)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.40.0.2']),
% 268.21/268.63 [weight('<209,33,20,[0,0,0,2]>')]).
% 268.21/268.63 cnf('0.40.2.0',plain,
% 268.21/268.63 ( f(f(X1,X1),f(f(f(X2,X1),f(X3,X1)),X4)) = X1 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_40]).
% 268.21/268.63 cnf('0.44.0.0',plain,
% 268.21/268.63 ( f(f(X1,f(f(X2,X3),f(X4,X3))),f(X3,X3)) = f(f(X3,f(f(X1,f(f(X2,X3),f(X4,X3))),f(X3,X3))),f(X1,f(f(X2,X3),f(X4,X3)))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.20.2.0','0.37.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1.1','L')]).
% 268.21/268.63 cnf('0.44.0.1',plain,
% 268.21/268.63 ( X3 = f(f(X3,f(f(X1,f(f(X2,X3),f(X4,X3))),f(X3,X3))),f(X1,f(f(X2,X3),f(X4,X3)))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.44.0.0','0.37.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','L')]).
% 268.21/268.63 cnf('0.44.0.2',plain,
% 268.21/268.63 ( X3 = f(f(X3,X3),f(X1,f(f(X2,X3),f(X4,X3)))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.44.0.1','0.19.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.1','L')]).
% 268.21/268.63 cnf('0.44.1.0',plain,
% 268.21/268.63 ( X3 = f(f(X3,X3),f(X1,f(f(X2,X3),f(X4,X3)))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.44.0.2']),
% 268.21/268.63 [weight('<209,37,20,[0,0,0,2]>')]).
% 268.21/268.63 cnf('0.44.2.0',plain,
% 268.21/268.63 ( f(f(X1,X1),f(X2,f(f(X3,X1),f(X4,X1)))) = X1 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_44]).
% 268.21/268.63 cnf('0.45.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,f(f(X1,X3),f(X4,X1))),f(X1,X1)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.37.2.0','0.20.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1.2.1','L')]).
% 268.21/268.63 cnf('0.45.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,f(f(X1,X3),f(X4,X1))),f(X1,X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.45.0.0']),
% 268.21/268.63 [weight('<209,37,20,[1,0,0,4]>')]).
% 268.21/268.63 cnf('0.45.2.0',plain,
% 268.21/268.63 ( f(f(X1,f(f(X2,X3),f(X4,X2))),f(X2,X2)) = X2 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_45]).
% 268.21/268.63 cnf('0.47.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X1),f(X2,f(f(X1,X3),f(X1,X4)))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.38.2.0','0.20.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.2.1','L')]).
% 268.21/268.63 cnf('0.47.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X1),f(X2,f(f(X1,X3),f(X1,X4)))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.47.0.0']),
% 268.21/268.63 [weight('<209,38,20,[1,0,0,7]>')]).
% 268.21/268.63 cnf('0.47.2.0',plain,
% 268.21/268.63 ( f(f(X1,X1),f(X2,f(f(X1,X3),f(X1,X4)))) = X1 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_47]).
% 268.21/268.63 cnf('0.49.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X1),f(X2,f(f(X1,X3),f(X4,X1)))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.44.2.0','0.20.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.2.1','L')]).
% 268.21/268.63 cnf('0.49.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X1),f(X2,f(f(X1,X3),f(X4,X1)))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.49.0.0']),
% 268.21/268.63 [weight('<209,44,20,[1,0,0,7]>')]).
% 268.21/268.63 cnf('0.49.2.0',plain,
% 268.21/268.63 ( f(f(X1,X1),f(X2,f(f(X1,X3),f(X4,X1)))) = X1 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_49]).
% 268.21/268.63 cnf('0.53.0.0',plain,
% 268.21/268.63 ( f(f(X1,f(f(X2,X2),X1)),X1) = f(f(X2,X2),f(f(f(X1,f(f(X2,X2),X1)),X1),f(f(X1,f(f(X2,X2),X1)),X1))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.7.2.0','0.22.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.53.1.0',plain,
% 268.21/268.63 ( f(f(X1,f(f(X2,X2),X1)),X1) = f(f(X2,X2),f(f(f(X1,f(f(X2,X2),X1)),X1),f(f(X1,f(f(X2,X2),X1)),X1))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.53.0.0']),
% 268.21/268.63 [weight('<?,22,7,[0,0,0,1]>')]).
% 268.21/268.63 cnf('0.53.2.0',plain,
% 268.21/268.63 ( f(f(X1,X1),f(f(f(X2,f(f(X1,X1),X2)),X2),f(f(X2,f(f(X1,X1),X2)),X2))) = f(f(X2,f(f(X1,X1),X2)),X2) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_53]).
% 268.21/268.63 cnf('0.54.0.0',plain,
% 268.21/268.63 ( f(f(f(f(f(X1,X1),f(X1,X1)),X2),f(f(X1,X1),f(f(f(X1,X1),f(X1,X1)),X2))),f(f(f(X1,X1),f(X1,X1)),X2)) = f(f(X1,X1),f(f(f(f(f(f(X1,X1),f(X1,X1)),X2),f(f(X1,X1),f(X1,X1))),f(f(f(X1,X1),f(X1,X1)),X2)),f(f(f(f(f(X1,X1),f(X1,X1)),X2),f(f(X1,X1),f(f(f(X1,X1),f(X1,X1)),X2))),f(f(f(X1,X1),f(X1,X1)),X2)))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.53.2.0','0.16.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.1.1.2','L')]).
% 268.21/268.63 cnf('0.54.0.1',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(f(X1,X1),f(f(f(X1,X1),f(X1,X1)),X2))),f(f(f(X1,X1),f(X1,X1)),X2)) = f(f(X1,X1),f(f(f(f(f(f(X1,X1),f(X1,X1)),X2),f(f(X1,X1),f(X1,X1))),f(f(f(X1,X1),f(X1,X1)),X2)),f(f(f(f(f(X1,X1),f(X1,X1)),X2),f(f(X1,X1),f(f(f(X1,X1),f(X1,X1)),X2))),f(f(f(X1,X1),f(X1,X1)),X2)))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.54.0.0','0.7.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1.1.1','L')]).
% 268.21/268.63 cnf('0.54.0.2',plain,
% 268.21/268.63 ( f(f(f(X1,X2),X1),f(f(f(X1,X1),f(X1,X1)),X2)) = f(f(X1,X1),f(f(f(f(f(f(X1,X1),f(X1,X1)),X2),f(f(X1,X1),f(X1,X1))),f(f(f(X1,X1),f(X1,X1)),X2)),f(f(f(f(f(X1,X1),f(X1,X1)),X2),f(f(X1,X1),f(f(f(X1,X1),f(X1,X1)),X2))),f(f(f(X1,X1),f(X1,X1)),X2)))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.54.0.1','0.40.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1.2','L')]).
% 268.21/268.63 cnf('0.54.0.3',plain,
% 268.21/268.63 ( f(f(f(X1,X2),X1),f(X1,X2)) = f(f(X1,X1),f(f(f(f(f(f(X1,X1),f(X1,X1)),X2),f(f(X1,X1),f(X1,X1))),f(f(f(X1,X1),f(X1,X1)),X2)),f(f(f(f(f(X1,X1),f(X1,X1)),X2),f(f(X1,X1),f(f(f(X1,X1),f(X1,X1)),X2))),f(f(f(X1,X1),f(X1,X1)),X2)))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.54.0.2','0.7.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.1','L')]).
% 268.21/268.63 cnf('0.54.0.4',plain,
% 268.21/268.63 ( f(f(f(X1,X2),X1),f(X1,X2)) = f(f(X1,X1),f(f(f(f(X1,X2),f(f(X1,X1),f(X1,X1))),f(f(f(X1,X1),f(X1,X1)),X2)),f(f(f(f(f(X1,X1),f(X1,X1)),X2),f(f(X1,X1),f(f(f(X1,X1),f(X1,X1)),X2))),f(f(f(X1,X1),f(X1,X1)),X2)))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.54.0.3','0.7.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2.1.1.1.1','L')]).
% 268.21/268.63 cnf('0.54.0.5',plain,
% 268.21/268.63 ( f(f(f(X1,X2),X1),f(X1,X2)) = f(f(X1,X1),f(f(f(f(X1,X2),X1),f(f(f(X1,X1),f(X1,X1)),X2)),f(f(f(f(f(X1,X1),f(X1,X1)),X2),f(f(X1,X1),f(f(f(X1,X1),f(X1,X1)),X2))),f(f(f(X1,X1),f(X1,X1)),X2)))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.54.0.4','0.7.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2.1.1.2','L')]).
% 268.21/268.63 cnf('0.54.0.6',plain,
% 268.21/268.63 ( f(f(f(X1,X2),X1),f(X1,X2)) = f(f(X1,X1),f(f(f(f(X1,X2),X1),f(X1,X2)),f(f(f(f(f(X1,X1),f(X1,X1)),X2),f(f(X1,X1),f(f(f(X1,X1),f(X1,X1)),X2))),f(f(f(X1,X1),f(X1,X1)),X2)))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.54.0.5','0.7.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2.1.2.1','L')]).
% 268.21/268.63 cnf('0.54.0.7',plain,
% 268.21/268.63 ( f(f(f(X1,X2),X1),f(X1,X2)) = X1 ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.54.0.6','0.34.2.0',theory(equality)]),
% 268.21/268.63 [pos('R','L')]).
% 268.21/268.63 cnf('0.54.1.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),X1),f(X1,X2)) = X1 ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.54.0.7']),
% 268.21/268.63 [weight('<109,53,16,[1,0,0,8]>')]).
% 268.21/268.63 cnf('0.54.2.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),X1),f(X1,X2)) = X1 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 268.21/268.63 [u,rule_54]).
% 268.21/268.63 cnf('0.55.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(X1,f(X1,X2)),f(f(X1,X2),f(X1,X1))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.54.2.0','0.6.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1.1','L')]).
% 268.21/268.63 cnf('0.55.0.1',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(X1,f(X1,X2)),X1) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.55.0.0','0.6.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2','L')]).
% 268.21/268.63 cnf('0.55.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(X1,f(X1,X2)),X1) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.55.0.1']),
% 268.21/268.63 [weight('<87,54,6,[1,0,0,2]>')]).
% 268.21/268.63 cnf('0.55.2.0',plain,
% 268.21/268.63 ( f(f(X1,f(X1,X2)),X1) = f(X1,X2) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_55]).
% 268.21/268.63 cnf('0.57.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(X2,f(X1,X2)),f(f(X1,X2),f(X2,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.54.2.0','0.7.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1.1','L')]).
% 268.21/268.63 cnf('0.57.0.1',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(X2,f(X1,X2)),X2) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.57.0.0','0.7.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2','L')]).
% 268.21/268.63 cnf('0.57.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(X2,f(X1,X2)),X2) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.57.0.1']),
% 268.21/268.63 [weight('<87,54,7,[1,0,0,2]>')]).
% 268.21/268.63 cnf('0.57.2.0',plain,
% 268.21/268.63 ( f(f(X1,f(X2,X1)),X1) = f(X2,X1) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_57]).
% 268.21/268.63 cnf('0.61.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X2),f(X1,f(X1,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.54.2.0','0.55.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.61.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X2),f(X1,f(X1,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.61.0.0']),
% 268.21/268.63 [weight('<109,55,54,[0,0,0,1]>')]).
% 268.21/268.63 cnf('0.61.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,f(X1,X2))) = X1 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_61]).
% 268.21/268.63 cnf('0.62.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,X1),f(X1,f(X2,X1))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.54.2.0','0.57.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.62.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,X1),f(X1,f(X2,X1))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.62.0.0']),
% 268.21/268.63 [weight('<109,57,54,[0,0,0,1]>')]).
% 268.21/268.63 cnf('0.62.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X2,f(X1,X2))) = X2 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_62]).
% 268.21/268.63 cnf('0.63.0.0',plain,
% 268.21/268.63 ( f(f(X1,X1),f(f(X2,X1),f(X1,X3))) = f(X1,f(X1,X1)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.55.2.0','0.38.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.63.1.0',plain,
% 268.21/268.63 ( f(f(X1,X1),f(f(X2,X1),f(X1,X3))) = f(X1,f(X1,X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.63.0.0']),
% 268.21/268.63 [weight('<203,55,38,[1,0,0,1]>')]).
% 268.21/268.63 cnf('0.63.2.0',plain,
% 268.21/268.63 ( f(f(X1,X1),f(f(X2,X1),f(X1,X3))) = f(X1,f(X1,X1)) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 268.21/268.63 [u,rule_63]).
% 268.21/268.63 cnf('0.64.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,f(X2,X2)),f(X1,X1)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.45.2.0','0.63.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.64.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,f(X2,X2)),f(X1,X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.64.0.0']),
% 268.21/268.63 [weight('<109,63,45,[0,0,0,1]>')]).
% 268.21/268.63 cnf('0.64.2.0',plain,
% 268.21/268.63 ( f(f(X1,f(X1,X1)),f(X2,X2)) = X2 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_64]).
% 268.21/268.63 cnf('0.65.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X1),f(X2,f(X2,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.49.2.0','0.63.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.65.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X1),f(X2,f(X2,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.65.0.0']),
% 268.21/268.63 [weight('<109,63,49,[0,0,0,4]>')]).
% 268.21/268.63 cnf('0.65.2.0',plain,
% 268.21/268.63 ( f(f(X1,X1),f(X2,f(X2,X2))) = X1 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_65]).
% 268.21/268.63 cnf('0.66.0.0',plain,
% 268.21/268.63 ( f(X1,X1) = f(f(X2,f(X2,X2)),X1) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.64.2.0','0.6.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.66.1.0',plain,
% 268.21/268.63 ( f(X1,X1) = f(f(X2,f(X2,X2)),X1) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.66.0.0']),
% 268.21/268.63 [weight('<120,64,6,[1,0,0,6]>')]).
% 268.21/268.63 cnf('0.66.2.0',plain,
% 268.21/268.63 ( f(X1,X1) = f(f(X2,f(X2,X2)),X1) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.66.1.0']),
% 268.21/268.63 [equation_1]).
% 268.21/268.63 cnf('0.66.2.1',plain,
% 268.21/268.63 ( f(X1,X1) = f(f(c,f(c,c)),X1) ),
% 268.21/268.63 inference(instr,[status(thm)],['0.66.2.0',theory(equality)])).
% 268.21/268.63 cnf('0.67.0.0',plain,
% 268.21/268.63 ( f(X1,X1) = f(X1,f(X2,f(X2,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.65.2.0','0.6.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.67.1.0',plain,
% 268.21/268.63 ( f(X1,X1) = f(X1,f(X2,f(X2,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.67.0.0']),
% 268.21/268.63 [weight('<120,65,6,[1,0,0,1]>')]).
% 268.21/268.63 cnf('0.67.2.0',plain,
% 268.21/268.63 ( f(X1,X1) = f(X1,f(X2,f(X2,X2))) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.67.1.0']),
% 268.21/268.63 [equation_2]).
% 268.21/268.63 cnf('0.67.2.1',plain,
% 268.21/268.63 ( f(X1,X1) = f(X1,f(c,f(c,c))) ),
% 268.21/268.63 inference(instr,[status(thm)],['0.67.2.0',theory(equality)])).
% 268.21/268.63 cnf('0.74.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,X1),f(f(X3,f(X3,X3)),X1)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.7.2.0','0.66.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.74.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,X1),f(f(X3,f(X3,X3)),X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.74.0.0']),
% 268.21/268.63 [weight('<155,66,7,[0,0,0,4]>')]).
% 268.21/268.63 cnf('0.74.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(f(X3,f(X3,X3)),X2)) = X2 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_71]).
% 268.21/268.63 cnf('0.79.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,f(X2,f(X2,X2))),f(X1,X3)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.17.2.0','0.67.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.79.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,f(X2,f(X2,X2))),f(X1,X3)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.79.0.0']),
% 268.21/268.63 [weight('<155,67,17,[0,0,0,1]>')]).
% 268.21/268.63 cnf('0.79.2.0',plain,
% 268.21/268.63 ( f(f(X1,f(X2,f(X2,X2))),f(X1,X3)) = X1 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_76]).
% 268.21/268.63 cnf('0.83.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(X1,f(f(X3,f(X3,X3)),f(X1,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.10.2.0','0.66.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.83.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(X1,f(f(X3,f(X3,X3)),f(X1,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.83.0.0']),
% 268.21/268.63 [weight('<179,66,10,[0,0,0,2]>')]).
% 268.21/268.63 cnf('0.83.2.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,f(X2,X2)),f(X1,X3))) = f(X1,X3) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_80]).
% 268.21/268.63 cnf('0.84.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(X2,f(f(X3,f(X3,X3)),f(X1,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.11.2.0','0.66.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.84.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(X2,f(f(X3,f(X3,X3)),f(X1,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.84.0.0']),
% 268.21/268.63 [weight('<179,66,11,[0,0,0,2]>')]).
% 268.21/268.63 cnf('0.84.2.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,f(X2,X2)),f(X3,X1))) = f(X3,X1) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_81]).
% 268.21/268.63 cnf('0.107.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,f(X2,X2)),f(f(X3,f(X3,X3)),X1)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.64.2.0','0.66.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.107.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X2,f(X2,X2)),f(f(X3,f(X3,X3)),X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.107.0.0']),
% 268.21/268.63 [weight('<209,66,64,[0,0,0,6]>')]).
% 268.21/268.63 cnf('0.107.2.0',plain,
% 268.21/268.63 ( f(f(X1,f(X1,X1)),f(f(X2,f(X2,X2)),X3)) = X3 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_104]).
% 268.21/268.63 cnf('0.112.0.0',plain,
% 268.21/268.63 ( f(X1,f(X2,f(X2,X2))) = f(f(X3,f(X3,X3)),X1) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.67.2.0','0.66.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','L')]).
% 268.21/268.63 cnf('0.112.1.0',plain,
% 268.21/268.63 ( f(X1,f(X2,f(X2,X2))) = f(f(X3,f(X3,X3)),X1) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.112.0.0']),
% 268.21/268.63 [weight('<224,67,66,[1,0,0,0]>')]).
% 268.21/268.63 cnf('0.112.2.0',plain,
% 268.21/268.63 ( f(X1,f(X2,f(X2,X2))) = f(f(X3,f(X3,X3)),X1) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.112.1.0']),
% 268.21/268.63 [equation_5]).
% 268.21/268.63 cnf('0.112.2.1',plain,
% 268.21/268.63 ( f(X1,f(X2,f(X2,X2))) = f(f(c,f(c,c)),X1) ),
% 268.21/268.63 inference(instr,[status(thm)],['0.112.2.0',theory(equality)])).
% 268.21/268.63 cnf('0.112.2.2',plain,
% 268.21/268.63 ( f(X2,f(c,f(c,c))) = f(f(X1,f(X1,X1)),X2) ),
% 268.21/268.63 inference(instl,[status(thm)],['0.112.2.0',theory(equality)])).
% 268.21/268.63 cnf('0.155.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(f(f(X3,f(X1,X2)),X1),X4),f(f(X1,X2),f(X1,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.30.2.0','0.6.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1.1.2','L')]).
% 268.21/268.63 cnf('0.155.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(f(f(X3,f(X1,X2)),X1),X4),f(f(X1,X2),f(X1,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.155.0.0']),
% 268.21/268.63 [weight('<?,30,6,[1,0,0,6]>')]).
% 268.21/268.63 cnf('0.155.2.0',plain,
% 268.21/268.63 ( f(f(f(f(X1,f(X2,X3)),X2),X4),f(f(X2,X3),f(X2,X3))) = f(X2,X3) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.155.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_150]).
% 268.21/268.63 cnf('0.156.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(f(X1,X1),X3),f(f(X1,X2),f(X1,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.155.2.0','0.8.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1.1','L')]).
% 268.21/268.63 cnf('0.156.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(f(X1,X1),X3),f(f(X1,X2),f(X1,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.156.0.0']),
% 268.21/268.63 [weight('<237,155,8,[1,0,0,2]>')]).
% 268.21/268.63 cnf('0.156.2.0',plain,
% 268.21/268.63 ( f(f(f(X1,X1),X2),f(f(X1,X3),f(X1,X3))) = f(X1,X3) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.156.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_151]).
% 268.21/268.63 cnf('0.157.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(f(X2,X1),X3),f(f(X1,X2),f(X1,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.155.2.0','0.18.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1.1.1','L')]).
% 268.21/268.63 cnf('0.157.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(f(X2,X1),X3),f(f(X1,X2),f(X1,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.157.0.0']),
% 268.21/268.63 [weight('<237,155,18,[1,0,0,3]>')]).
% 268.21/268.63 cnf('0.157.2.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),X3),f(f(X2,X1),f(X2,X1))) = f(X2,X1) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_152]).
% 268.21/268.63 cnf('0.158.0.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,X2)) = f(f(X2,X1),f(X1,X2)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.8.2.0','0.157.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.158.1.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,X2)) = f(f(X2,X1),f(X1,X2)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.158.0.0']),
% 268.21/268.63 [weight('<224,157,8,[0,0,0,1]>')]).
% 268.21/268.63 cnf('0.158.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,X2)) = f(f(X2,X1),f(X1,X2)) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.158.1.0']),
% 268.21/268.63 [equation_6]).
% 268.21/268.63 cnf('0.159.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(f(X1,X2),f(X1,X2)),f(f(X2,X1),f(X2,X1))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.17.2.0','0.158.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','R')]).
% 268.21/268.63 cnf('0.159.0.1',plain,
% 268.21/268.63 ( f(X1,X2) = f(X2,X1) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.159.0.0','0.157.2.0',theory(equality)]),
% 268.21/268.63 [pos('R','L')]).
% 268.21/268.63 cnf('0.159.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(X2,X1) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.159.0.1']),
% 268.21/268.63 [weight('<48,158,17,[0,1,0,4]>')]).
% 268.21/268.63 cnf('0.159.2.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(X2,X1) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.159.1.0']),
% 268.21/268.63 [equation_7]).
% 268.21/268.63 cnf('0.165.0.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X2),f(X1,f(X2,X1))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.61.2.0','0.159.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.2','L')]).
% 268.21/268.63 cnf('0.165.1.0',plain,
% 268.21/268.63 ( X1 = f(f(X1,X2),f(X1,f(X2,X1))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.165.0.0']),
% 268.21/268.63 [weight('<109,159,61,[0,0,0,6]>')]).
% 268.21/268.63 cnf('0.165.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,f(X2,X1))) = X1 ),
% 268.21/268.63 inference(orient,[status(thm)],['0.165.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_157]).
% 268.21/268.63 cnf('0.166.0.0',plain,
% 268.21/268.63 ( f(X1,f(X2,f(X2,X2))) = f(X1,X1) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.159.2.0','0.66.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','R')]).
% 268.21/268.63 cnf('0.166.1.0',plain,
% 268.21/268.63 ( f(X1,f(X2,f(X2,X2))) = f(X1,X1) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.166.0.0']),
% 268.21/268.63 [weight('<120,159,66,[1,0,1,0]>')]).
% 268.21/268.63 cnf('0.166.2.0',plain,
% 268.21/268.63 ( f(X1,f(X2,f(X2,X2))) = f(X1,X1) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.166.1.0']),
% 268.21/268.63 [equation_9]).
% 268.21/268.63 cnf('0.166.2.2',plain,
% 268.21/268.63 ( f(X1,f(c,f(c,c))) = f(X1,X1) ),
% 268.21/268.63 inference(instl,[status(thm)],['0.166.2.0',theory(equality)])).
% 268.21/268.63 cnf('0.171.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(X3,f(X2,X1)),f(f(X1,X2),f(X1,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.157.2.0','0.11.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.171.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(X3,f(X2,X1)),f(f(X1,X2),f(X1,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.171.0.0']),
% 268.21/268.63 [weight('<237,157,11,[1,0,0,1]>')]).
% 268.21/268.63 cnf('0.171.2.0',plain,
% 268.21/268.63 ( f(f(X1,f(X2,X3)),f(f(X3,X2),f(X3,X2))) = f(X3,X2) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.171.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_162]).
% 268.21/268.63 cnf('0.176.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(f(X1,X1),X3),f(f(X1,X2),f(X2,X1))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.156.2.0','0.159.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.2','L')]).
% 268.21/268.63 cnf('0.176.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(f(X1,X1),X3),f(f(X1,X2),f(X2,X1))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.176.0.0']),
% 268.21/268.63 [weight('<237,159,156,[0,0,0,10]>')]).
% 268.21/268.63 cnf('0.176.2.0',plain,
% 268.21/268.63 ( f(f(f(X1,X1),X2),f(f(X1,X3),f(X3,X1))) = f(X1,X3) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.176.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_167]).
% 268.21/268.63 cnf('0.178.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(f(X2,X1),X3),f(f(X2,X1),f(X1,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.157.2.0','0.159.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.1','L')]).
% 268.21/268.63 cnf('0.178.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(f(X2,X1),X3),f(f(X2,X1),f(X1,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.178.0.0']),
% 268.21/268.63 [weight('<237,159,157,[0,0,0,7]>')]).
% 268.21/268.63 cnf('0.178.2.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),X3),f(f(X1,X2),f(X2,X1))) = f(X2,X1) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.178.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_169]).
% 268.21/268.63 cnf('0.179.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(f(X2,X1),X3),f(f(X1,X2),f(X2,X1))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.157.2.0','0.159.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.2','L')]).
% 268.21/268.63 cnf('0.179.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(f(X2,X1),X3),f(f(X1,X2),f(X2,X1))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.179.0.0']),
% 268.21/268.63 [weight('<237,159,157,[0,0,0,10]>')]).
% 268.21/268.63 cnf('0.179.2.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),X3),f(f(X2,X1),f(X1,X2))) = f(X2,X1) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.179.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_170]).
% 268.21/268.63 cnf('0.187.0.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(X3,f(X2,X1)),f(f(X2,X1),f(X1,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.171.2.0','0.159.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.1','L')]).
% 268.21/268.63 cnf('0.187.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(f(X3,f(X2,X1)),f(f(X2,X1),f(X1,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.187.0.0']),
% 268.21/268.63 [weight('<237,171,159,[1,0,0,7]>')]).
% 268.21/268.63 cnf('0.187.2.0',plain,
% 268.21/268.63 ( f(f(X1,f(X2,X3)),f(f(X2,X3),f(X3,X2))) = f(X3,X2) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_178]).
% 268.21/268.63 cnf('0.192.0.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X2,X1)),f(f(X1,X2),f(X2,X1))) = f(f(f(X1,X2),f(X2,X1)),f(f(X2,X1),X3)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.16.2.0','0.178.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.1','L')]).
% 268.21/268.63 cnf('0.192.0.1',plain,
% 268.21/268.63 ( f(X2,X1) = f(f(f(X1,X2),f(X2,X1)),f(f(X2,X1),X3)) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.192.0.0','0.178.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','L')]).
% 268.21/268.63 cnf('0.192.1.0',plain,
% 268.21/268.63 ( f(X2,X1) = f(f(f(X1,X2),f(X2,X1)),f(f(X2,X1),X3)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.192.0.1']),
% 268.21/268.63 [weight('<237,178,16,[0,0,0,3]>')]).
% 268.21/268.63 cnf('0.192.2.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X2,X1)),f(f(X2,X1),X3)) = f(X2,X1) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.192.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_183]).
% 268.21/268.63 cnf('0.207.0.0',plain,
% 268.21/268.63 ( f(f(X1,X2),X3) = f(f(f(f(X1,X2),X3),f(f(X2,X1),f(X1,X2))),f(f(f(X1,X2),X3),f(X1,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.165.2.0','0.192.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.2','L')]).
% 268.21/268.63 cnf('0.207.0.1',plain,
% 268.21/268.63 ( f(f(X1,X2),X3) = f(f(X2,X1),f(f(f(X1,X2),X3),f(X1,X2))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.207.0.0','0.179.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.1','L')]).
% 268.21/268.63 cnf('0.207.1.0',plain,
% 268.21/268.63 ( f(f(X1,X2),X3) = f(f(X2,X1),f(f(f(X1,X2),X3),f(X1,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.207.0.1']),
% 268.21/268.63 [weight('<265,192,165,[0,0,0,6]>')]).
% 268.21/268.63 cnf('0.207.1.1',plain,
% 268.21/268.63 ( f(f(X1,X2),X3) = f(f(X2,X1),f(f(X1,X2),f(f(X1,X2),X3))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.207.1.0','0.159.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2','L')]).
% 268.21/268.63 cnf('0.207.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(f(X2,X1),f(f(X2,X1),X3))) = f(f(X2,X1),X3) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.207.1.1',theory(equality)]),
% 268.21/268.63 [x,rule_198]).
% 268.21/268.63 cnf('0.208.0.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,X2)) = f(f(X2,X1),f(X2,X1)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.207.2.0','0.166.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','L')]).
% 268.21/268.63 cnf('0.208.1.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,X2)) = f(f(X2,X1),f(X2,X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.208.0.0']),
% 268.21/268.63 [weight('<224,207,166,[1,0,0,0]>')]).
% 268.21/268.63 cnf('0.208.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,X2)) = f(f(X2,X1),f(X2,X1)) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.208.1.0']),
% 268.21/268.63 [equation_10]).
% 268.21/268.63 cnf('0.233.0.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X2,X1)) = f(f(X3,f(X3,X3)),f(X1,X2)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.107.2.0','0.176.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.233.1.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X2,X1)) = f(f(X3,f(X3,X3)),f(X1,X2)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.233.0.0']),
% 268.21/268.63 [weight('<288,176,107,[0,0,0,6]>')]).
% 268.21/268.63 cnf('0.233.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X2,X1)) = f(f(X3,f(X3,X3)),f(X1,X2)) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.233.1.0']),
% 268.21/268.63 [equation_15]).
% 268.21/268.63 cnf('0.233.2.1',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X2,X1)) = f(f(c,f(c,c)),f(X1,X2)) ),
% 268.21/268.63 inference(instr,[status(thm)],['0.233.2.0',theory(equality)])).
% 268.21/268.63 cnf('0.238.0.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,X2)) = f(f(X3,f(X3,X3)),f(X2,X1)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.207.2.0','0.112.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','L')]).
% 268.21/268.63 cnf('0.238.1.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,X2)) = f(f(X3,f(X3,X3)),f(X2,X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.238.0.0']),
% 268.21/268.63 [weight('<288,207,112,[1,0,0,0]>')]).
% 268.21/268.63 cnf('0.238.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,X2)) = f(f(X3,f(X3,X3)),f(X2,X1)) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.238.1.0']),
% 268.21/268.63 [equation_20]).
% 268.21/268.63 cnf('0.238.2.1',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,X2)) = f(f(c,f(c,c)),f(X2,X1)) ),
% 268.21/268.63 inference(instr,[status(thm)],['0.238.2.0',theory(equality)])).
% 268.21/268.63 cnf('0.308.0.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X2,X3)),X4) = f(X2,f(f(f(f(X1,X2),f(X2,X3)),X4),f(f(f(X1,X2),f(X2,X3)),X4))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.7.2.0','0.34.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.308.1.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X2,X3)),X4) = f(X2,f(f(f(f(X1,X2),f(X2,X3)),X4),f(f(f(X1,X2),f(X2,X3)),X4))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.308.0.0']),
% 268.21/268.63 [weight('<?,34,7,[0,0,0,1]>')]).
% 268.21/268.63 cnf('0.308.1.1',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X2,X3)),X4) = f(X2,f(f(c,f(c,c)),f(X4,f(f(X1,X2),f(X2,X3))))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.308.1.0','0.238.2.1',theory(equality)]),
% 268.21/268.63 [pos('R.2','L')]).
% 268.21/268.63 cnf('0.308.2.0',plain,
% 268.21/268.63 ( f(X1,f(f(c,f(c,c)),f(X2,f(f(X3,X1),f(X1,X4))))) = f(f(f(X3,X1),f(X1,X4)),X2) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.308.1.1',theory(equality)]),
% 268.21/268.63 [x,rule_288]).
% 268.21/268.63 cnf('0.309.0.0',plain,
% 268.21/268.63 ( f(f(f(X1,f(X2,X3)),f(f(X2,X3),f(X3,X2))),X4) = f(f(X2,X3),f(f(c,f(c,c)),f(X4,f(f(X1,f(X2,X3)),f(f(X5,f(X5,X5)),f(X2,X3)))))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.308.2.0','0.233.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.2.2.2','L')]).
% 268.21/268.63 cnf('0.309.0.1',plain,
% 268.21/268.63 ( f(f(X3,X2),X4) = f(f(X2,X3),f(f(c,f(c,c)),f(X4,f(f(X1,f(X2,X3)),f(f(X5,f(X5,X5)),f(X2,X3)))))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.309.0.0','0.187.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.309.0.2',plain,
% 268.21/268.63 ( f(f(X3,X2),X4) = f(f(X2,X3),f(f(c,f(c,c)),f(X4,f(X2,X3)))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.309.0.1','0.74.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2.2.2','L')]).
% 268.21/268.63 cnf('0.309.0.3',plain,
% 268.21/268.63 ( f(f(X3,X2),X4) = f(X4,f(X2,X3)) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.309.0.2','0.84.2.0',theory(equality)]),
% 268.21/268.63 [pos('R','L')]).
% 268.21/268.63 cnf('0.309.1.0',plain,
% 268.21/268.63 ( f(f(X3,X2),X4) = f(X4,f(X2,X3)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.309.0.3']),
% 268.21/268.63 [weight('<120,308,233,[1,0,0,14]>')]).
% 268.21/268.63 cnf('0.309.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),X3) = f(X3,f(X2,X1)) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.309.1.0']),
% 268.21/268.63 [equation_21]).
% 268.21/268.63 cnf('0.320.0.0',plain,
% 268.21/268.63 ( f(X1,f(X2,f(X3,X4))) = f(f(X2,f(X4,X3)),X1) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.309.2.0','0.309.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.320.1.0',plain,
% 268.21/268.63 ( f(X1,f(X2,f(X3,X4))) = f(f(X2,f(X4,X3)),X1) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.320.0.0']),
% 268.21/268.63 [weight('<224,309,309,[0,0,0,1]>')]).
% 268.21/268.63 cnf('0.320.2.0',plain,
% 268.21/268.63 ( f(X1,f(X2,f(X3,X4))) = f(f(X2,f(X4,X3)),X1) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.320.1.0']),
% 268.21/268.63 [equation_28]).
% 268.21/268.63 cnf('0.322.0.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X3,X4)) = f(f(X2,X1),f(X4,X3)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.309.2.0','0.309.2.0',theory(equality)]),
% 268.21/268.63 [pos('R','L')]).
% 268.21/268.63 cnf('0.322.1.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X3,X4)) = f(f(X2,X1),f(X4,X3)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.322.0.0']),
% 268.21/268.63 [weight('<224,309,309,[1,1,0,0]>')]).
% 268.21/268.63 cnf('0.322.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X3,X4)) = f(f(X2,X1),f(X4,X3)) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.322.1.0']),
% 268.21/268.63 [equation_30]).
% 268.21/268.63 cnf('0.323.0.0',plain,
% 268.21/268.63 ( f(f(X1,f(X2,X3)),X4) = f(X4,f(f(X3,X2),X1)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.320.2.0','0.159.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.323.1.0',plain,
% 268.21/268.63 ( f(f(X1,f(X2,X3)),X4) = f(X4,f(f(X3,X2),X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.323.0.0']),
% 268.21/268.63 [weight('<224,320,159,[1,0,0,2]>')]).
% 268.21/268.63 cnf('0.323.2.0',plain,
% 268.21/268.63 ( f(f(X1,f(X2,X3)),X4) = f(X4,f(f(X3,X2),X1)) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.323.1.0']),
% 268.21/268.63 [equation_31]).
% 268.21/268.63 cnf('0.324.0.0',plain,
% 268.21/268.63 ( f(X1,f(X2,f(X3,X4))) = f(f(f(X4,X3),X2),X1) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.320.2.0','0.159.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.1','L')]).
% 268.21/268.63 cnf('0.324.1.0',plain,
% 268.21/268.63 ( f(X1,f(X2,f(X3,X4))) = f(f(f(X4,X3),X2),X1) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.324.0.0']),
% 268.21/268.63 [weight('<224,320,159,[1,1,0,1]>')]).
% 268.21/268.63 cnf('0.324.2.0',plain,
% 268.21/268.63 ( f(X1,f(X2,f(X3,X4))) = f(f(f(X4,X3),X2),X1) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.324.1.0']),
% 268.21/268.63 [equation_32]).
% 268.21/268.63 cnf('0.325.0.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X3,X4)) = f(f(X4,X3),f(X2,X1)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.322.2.0','0.159.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','L')]).
% 268.21/268.63 cnf('0.325.1.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X3,X4)) = f(f(X4,X3),f(X2,X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.325.0.0']),
% 268.21/268.63 [weight('<224,322,159,[1,0,0,0]>')]).
% 268.21/268.63 cnf('0.325.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X3,X4)) = f(f(X4,X3),f(X2,X1)) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.325.1.0']),
% 268.21/268.63 [equation_33]).
% 268.21/268.63 cnf('0.339.0.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X3),f(X2,X4))) = f(X2,f(f(X1,f(f(X2,X3),f(X2,X4))),f(f(X2,X2),f(X1,f(f(X2,X3),f(X2,X4)))))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.62.2.0','0.47.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.339.0.1',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X3),f(X2,X4))) = f(X2,f(f(X1,f(f(X2,X3),f(X2,X4))),X2)) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.339.0.0','0.47.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2.2','L')]).
% 268.21/268.63 cnf('0.339.1.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X3),f(X2,X4))) = f(X2,f(f(X1,f(f(X2,X3),f(X2,X4))),X2)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.339.0.1']),
% 268.21/268.63 [weight('<321,62,47,[1,0,0,1]>')]).
% 268.21/268.63 cnf('0.339.1.1',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X3),f(X2,X4))) = f(X2,f(X2,f(f(f(X2,X4),f(X2,X3)),X1))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.339.1.0','0.323.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2','L')]).
% 268.21/268.63 cnf('0.339.2.0',plain,
% 268.21/268.63 ( f(X1,f(X1,f(f(f(X1,X2),f(X1,X3)),X4))) = f(X4,f(f(X1,X3),f(X1,X2))) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.339.1.1',theory(equality)]),
% 268.21/268.63 [x,rule_305]).
% 268.21/268.63 cnf('0.364.0.0',plain,
% 268.21/268.63 ( f(f(X1,X2),X3) = f(f(f(f(X1,X2),X3),f(X4,f(X4,X4))),f(X2,X1)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.79.2.0','0.157.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.364.1.0',plain,
% 268.21/268.63 ( f(f(X1,X2),X3) = f(f(f(f(X1,X2),X3),f(X4,f(X4,X4))),f(X2,X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.364.0.0']),
% 268.21/268.63 [weight('<335,157,79,[0,0,0,8]>')]).
% 268.21/268.63 cnf('0.364.1.1',plain,
% 268.21/268.63 ( f(f(X1,X2),X3) = f(f(X2,X1),f(f(X4,f(X4,X4)),f(X3,f(X1,X2)))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.364.1.0','0.324.2.0',theory(equality)]),
% 268.21/268.63 [pos('R','R')]).
% 268.21/268.63 cnf('0.364.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(f(X3,f(X3,X3)),f(X4,f(X2,X1)))) = f(f(X2,X1),X4) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.364.1.1',theory(equality)]),
% 268.21/268.63 [x,rule_330]).
% 268.21/268.63 cnf('0.543.0.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X3),f(X4,X5))) = f(f(f(X3,X2),f(X5,X4)),X1) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.323.2.0','0.309.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.543.1.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X3),f(X4,X5))) = f(f(f(X3,X2),f(X5,X4)),X1) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.543.0.0']),
% 268.21/268.63 [weight('<360,323,309,[1,0,0,1]>')]).
% 268.21/268.63 cnf('0.543.2.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X3),f(X4,X5))) = f(f(f(X3,X2),f(X5,X4)),X1) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.543.1.0']),
% 268.21/268.63 [equation_100]).
% 268.21/268.63 cnf('0.546.0.0',plain,
% 268.21/268.63 ( f(X1,f(f(f(X2,X3),X4),X5)) = f(f(X5,f(f(X3,X2),X4)),X1) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.323.2.0','0.309.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1.2','R')]).
% 268.21/268.63 cnf('0.546.1.0',plain,
% 268.21/268.63 ( f(X1,f(f(f(X2,X3),X4),X5)) = f(f(X5,f(f(X3,X2),X4)),X1) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.546.0.0']),
% 268.21/268.63 [weight('<360,323,309,[1,0,1,3]>')]).
% 268.21/268.63 cnf('0.546.2.0',plain,
% 268.21/268.63 ( f(X1,f(f(f(X2,X3),X4),X5)) = f(f(X5,f(f(X3,X2),X4)),X1) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.546.1.0']),
% 268.21/268.63 [equation_103]).
% 268.21/268.63 cnf('0.563.0.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X2,X3)),f(f(X1,X2),f(X2,X3))) = f(f(f(X1,X2),f(X2,X3)),X2) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.19.2.0','0.34.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.563.1.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X2,X3)),f(f(X1,X2),f(X2,X3))) = f(f(f(X1,X2),f(X2,X3)),X2) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.563.0.0']),
% 268.21/268.63 [weight('<?,34,19,[0,0,0,2]>')]).
% 268.21/268.63 cnf('0.563.1.1',plain,
% 268.21/268.63 ( f(f(c,f(c,c)),f(f(X2,X3),f(X1,X2))) = f(f(f(X1,X2),f(X2,X3)),X2) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.563.1.0','0.238.2.1',theory(equality)]),
% 268.21/268.63 [pos('L','L')]).
% 268.21/268.63 cnf('0.563.1.2',plain,
% 268.21/268.63 ( f(f(c,f(c,c)),f(f(X2,X3),f(X1,X2))) = f(X2,f(f(X2,X1),f(X3,X2))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.563.1.1','0.543.2.0',theory(equality)]),
% 268.21/268.63 [pos('R','R')]).
% 268.21/268.63 cnf('0.563.2.0',plain,
% 268.21/268.63 ( f(f(c,f(c,c)),f(f(X1,X2),f(X3,X1))) = f(X1,f(f(X1,X3),f(X2,X1))) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.563.1.2']),
% 268.21/268.63 [equation_109]).
% 268.21/268.63 cnf('0.564.0.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X3,X1)) = f(f(X1,X2),f(X1,f(f(X1,X3),f(X2,X1)))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.83.2.0','0.563.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.564.1.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X3,X1)) = f(f(X1,X2),f(X1,f(f(X1,X3),f(X2,X1)))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.564.0.0']),
% 268.21/268.63 [weight('<293,563,83,[0,0,0,2]>')]).
% 268.21/268.63 cnf('0.564.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,f(f(X1,X3),f(X2,X1)))) = f(f(X1,X2),f(X3,X1)) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.564.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_455]).
% 268.21/268.63 cnf('0.565.0.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X3,X1)) = f(f(X3,X1),f(X1,f(f(X1,X3),f(X2,X1)))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.84.2.0','0.563.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.565.1.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X3,X1)) = f(f(X3,X1),f(X1,f(f(X1,X3),f(X2,X1)))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.565.0.0']),
% 268.21/268.63 [weight('<293,563,84,[0,0,0,2]>')]).
% 268.21/268.63 cnf('0.565.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X2,f(f(X2,X1),f(X3,X2)))) = f(f(X2,X3),f(X1,X2)) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.565.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_456]).
% 268.21/268.63 cnf('0.567.0.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X2,X3)) = f(f(X2,X1),f(X2,f(f(X2,X1),f(X3,X2)))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.364.2.0','0.563.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.567.1.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X2,X3)) = f(f(X2,X1),f(X2,f(f(X2,X1),f(X3,X2)))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.567.0.0']),
% 268.21/268.63 [weight('<293,563,364,[0,0,0,4]>')]).
% 268.21/268.63 cnf('0.567.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,f(f(X1,X2),f(X3,X1)))) = f(f(X2,X1),f(X1,X3)) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.567.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_458]).
% 268.21/268.63 cnf('0.568.0.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X1,X1)),f(X3,f(X1,X2))) = f(X1,f(f(X1,X2),f(f(f(X1,X2),X3),f(f(X1,X1),f(X1,X2))))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.564.2.0','0.6.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.568.0.1',plain,
% 268.21/268.63 ( f(X1,f(X3,f(X1,X2))) = f(X1,f(f(X1,X2),f(f(f(X1,X2),X3),f(f(X1,X1),f(X1,X2))))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.568.0.0','0.6.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.568.0.2',plain,
% 268.21/268.63 ( f(X1,f(X3,f(X1,X2))) = f(X1,f(f(X1,X2),f(f(f(X1,X2),X3),X1))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.568.0.1','0.17.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2.2.2','L')]).
% 268.21/268.63 cnf('0.568.1.0',plain,
% 268.21/268.63 ( f(X1,f(X3,f(X1,X2))) = f(X1,f(f(X1,X2),f(f(f(X1,X2),X3),X1))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.568.0.2']),
% 268.21/268.63 [weight('<293,564,6,[1,0,0,1]>')]).
% 268.21/268.63 cnf('0.568.1.1',plain,
% 268.21/268.63 ( f(X1,f(X3,f(X1,X2))) = f(X1,f(f(X1,X2),f(X1,f(X3,f(X2,X1))))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.568.1.0','0.324.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2.2','R')]).
% 268.21/268.63 cnf('0.568.2.0',plain,
% 268.21/268.63 ( f(X1,f(f(X1,X2),f(X1,f(X3,f(X2,X1))))) = f(X1,f(X3,f(X1,X2))) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.568.1.1',theory(equality)]),
% 268.21/268.63 [x,rule_459]).
% 268.21/268.63 cnf('0.586.0.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X2,X2)),f(X3,f(X1,X2))) = f(X2,f(f(X1,X2),f(f(f(X1,X2),X3),f(f(X2,X2),f(X1,X2))))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.564.2.0','0.7.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.586.0.1',plain,
% 268.21/268.63 ( f(X2,f(X3,f(X1,X2))) = f(X2,f(f(X1,X2),f(f(f(X1,X2),X3),f(f(X2,X2),f(X1,X2))))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.586.0.0','0.7.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.1','L')]).
% 268.21/268.63 cnf('0.586.0.2',plain,
% 268.21/268.63 ( f(X2,f(X3,f(X1,X2))) = f(X2,f(f(X1,X2),f(f(f(X1,X2),X3),X2))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.586.0.1','0.18.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2.2.2','L')]).
% 268.21/268.63 cnf('0.586.1.0',plain,
% 268.21/268.63 ( f(X2,f(X3,f(X1,X2))) = f(X2,f(f(X1,X2),f(f(f(X1,X2),X3),X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.586.0.2']),
% 268.21/268.63 [weight('<293,564,7,[1,0,0,1]>')]).
% 268.21/268.63 cnf('0.586.1.1',plain,
% 268.21/268.63 ( f(X2,f(X3,f(X1,X2))) = f(X2,f(f(X1,X2),f(X2,f(X3,f(X2,X1))))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.586.1.0','0.324.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2.2','R')]).
% 268.21/268.63 cnf('0.586.2.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X1),f(X1,f(X3,f(X1,X2))))) = f(X1,f(X3,f(X2,X1))) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.586.1.1',theory(equality)]),
% 268.21/268.63 [x,rule_476]).
% 268.21/268.63 cnf('0.593.0.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X3,X1)) = f(f(X1,X2),f(X1,f(f(X3,X1),f(X1,X2)))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.564.2.0','0.322.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.2','L')]).
% 268.21/268.63 cnf('0.593.1.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X3,X1)) = f(f(X1,X2),f(X1,f(f(X3,X1),f(X1,X2)))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.593.0.0']),
% 268.21/268.63 [weight('<293,564,322,[1,0,0,6]>')]).
% 268.21/268.63 cnf('0.593.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,f(f(X3,X1),f(X1,X2)))) = f(f(X1,X2),f(X3,X1)) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.593.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_483]).
% 268.21/268.63 cnf('0.596.0.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),X3),f(f(X2,X2),f(X1,X2))) = f(f(f(X2,X2),f(X1,X2)),f(f(X1,X2),f(X2,f(X3,f(X1,X2))))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.565.2.0','0.7.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.2.1','L')]).
% 268.21/268.63 cnf('0.596.0.1',plain,
% 268.21/268.63 ( f(f(f(X1,X2),X3),X2) = f(f(f(X2,X2),f(X1,X2)),f(f(X1,X2),f(X2,f(X3,f(X1,X2))))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.596.0.0','0.18.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.596.0.2',plain,
% 268.21/268.63 ( f(f(f(X1,X2),X3),X2) = f(X2,f(f(X1,X2),f(X2,f(X3,f(X1,X2))))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.596.0.1','0.18.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.1','L')]).
% 268.21/268.63 cnf('0.596.1.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),X3),X2) = f(X2,f(f(X1,X2),f(X2,f(X3,f(X1,X2))))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.596.0.2']),
% 268.21/268.63 [weight('<293,565,7,[1,0,0,7]>')]).
% 268.21/268.63 cnf('0.596.1.1',plain,
% 268.21/268.63 ( f(X2,f(X3,f(X2,X1))) = f(X2,f(f(X1,X2),f(X2,f(X3,f(X1,X2))))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.596.1.0','0.324.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','R')]).
% 268.21/268.63 cnf('0.596.2.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X1),f(X1,f(X3,f(X2,X1))))) = f(X1,f(X3,f(X1,X2))) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.596.1.1',theory(equality)]),
% 268.21/268.63 [x,rule_486]).
% 268.21/268.63 cnf('0.613.0.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X2),f(X1,f(f(X3,X2),f(X2,X4))))) = f(X1,f(f(X1,f(f(X3,X2),f(X2,X4))),f(X1,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.568.2.0','0.34.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.2.2','L')]).
% 268.21/268.63 cnf('0.613.0.1',plain,
% 268.21/268.63 ( f(X1,X2) = f(X1,f(f(X1,f(f(X3,X2),f(X2,X4))),f(X1,X2))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.613.0.0','0.38.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.613.1.0',plain,
% 268.21/268.63 ( f(X1,X2) = f(X1,f(f(X1,f(f(X3,X2),f(X2,X4))),f(X1,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.613.0.1']),
% 268.21/268.63 [weight('<303,568,34,[1,0,0,8]>')]).
% 268.21/268.63 cnf('0.613.1.1',plain,
% 268.21/268.63 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(f(X2,X3),f(X2,X4)),X1))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.613.1.0','0.546.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2','R')]).
% 268.21/268.63 cnf('0.613.2.0',plain,
% 268.21/268.63 ( f(X1,f(f(X1,X2),f(f(f(X2,X3),f(X2,X4)),X1))) = f(X1,X2) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.613.1.1',theory(equality)]),
% 268.21/268.63 [x,rule_503]).
% 268.21/268.63 cnf('0.620.0.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X2,f(f(X1,X3),f(X1,X4)))) = f(f(X2,X1),f(X2,X1)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.567.2.0','0.613.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.620.1.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X2,f(f(X1,X3),f(X1,X4)))) = f(f(X2,X1),f(X2,X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.620.0.0']),
% 268.21/268.63 [weight('<293,613,567,[0,0,0,4]>')]).
% 268.21/268.63 cnf('0.620.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X2,f(f(X1,X3),f(X1,X4)))) = f(f(X2,X1),f(X2,X1)) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.620.1.0',theory(equality)]),
% 268.21/268.63 [u,rule_510]).
% 268.21/268.63 cnf('0.621.0.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X3),f(X1,X2))) = f(X1,f(f(X1,X2),f(X1,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.596.2.0','0.620.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.621.0.1',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X3),f(X1,X2))) = f(X1,X2) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.621.0.0','0.10.2.0',theory(equality)]),
% 268.21/268.63 [pos('R','L')]).
% 268.21/268.63 cnf('0.621.1.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X3),f(X1,X2))) = f(X1,X2) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.621.0.1']),
% 268.21/268.63 [weight('<129,620,596,[0,0,0,2]>')]).
% 268.21/268.63 cnf('0.621.2.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X3),f(X1,X2))) = f(X1,X2) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.621.1.0',theory(equality)]),
% 268.21/268.63 [u,rule_511]).
% 268.21/268.63 cnf('0.841.0.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,f(f(f(f(X2,X3),f(X2,X4)),X1),f(X1,X2)))) = f(f(X1,X2),f(f(f(f(f(X2,X3),f(X2,X4)),X1),f(X1,X2)),f(f(X1,X2),f(X1,X2)))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.586.2.0','0.613.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.2.2','L')]).
% 268.21/268.63 cnf('0.841.0.1',plain,
% 268.21/268.63 ( f(f(X1,X2),f(f(f(X2,X3),f(X2,X4)),X1)) = f(f(X1,X2),f(f(f(f(f(X2,X3),f(X2,X4)),X1),f(X1,X2)),f(f(X1,X2),f(X1,X2)))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.841.0.0','0.593.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','L')]).
% 268.21/268.63 cnf('0.841.0.2',plain,
% 268.21/268.63 ( f(f(X1,X2),f(f(f(X2,X3),f(X2,X4)),X1)) = f(f(X1,X2),f(X1,X2)) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.841.0.1','0.19.2.0',theory(equality)]),
% 268.21/268.63 [pos('R','L')]).
% 268.21/268.63 cnf('0.841.1.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(f(f(X2,X3),f(X2,X4)),X1)) = f(f(X1,X2),f(X1,X2)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.841.0.2']),
% 268.21/268.63 [weight('<293,613,586,[0,0,0,8]>')]).
% 268.21/268.63 cnf('0.841.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(f(f(X2,X3),f(X2,X4)),X1)) = f(f(X1,X2),f(X1,X2)) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.841.1.0',theory(equality)]),
% 268.21/268.63 [u,rule_731]).
% 268.21/268.63 cnf('0.889.0.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,X2)) = f(f(X1,X2),f(f(f(X3,X2),f(X4,X2)),X1)) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.841.2.0','0.322.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.1','L')]).
% 268.21/268.63 cnf('0.889.1.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(X1,X2)) = f(f(X1,X2),f(f(f(X3,X2),f(X4,X2)),X1)) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.889.0.0']),
% 268.21/268.63 [weight('<293,841,322,[1,0,0,5]>')]).
% 268.21/268.63 cnf('0.889.2.0',plain,
% 268.21/268.63 ( f(f(X1,X2),f(f(f(X3,X2),f(X4,X2)),X1)) = f(f(X1,X2),f(X1,X2)) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.889.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_779]).
% 268.21/268.63 cnf('0.2926.0.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X3,X2)),X4) = f(f(f(X1,X2),f(X3,X2)),f(f(X4,X2),f(X4,X2))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.621.2.0','0.889.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('0.2926.1.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X3,X2)),X4) = f(f(f(X1,X2),f(X3,X2)),f(f(X4,X2),f(X4,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.2926.0.0']),
% 268.21/268.63 [weight('<399,889,621,[0,0,0,2]>')]).
% 268.21/268.63 cnf('0.2926.2.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X3,X2)),f(f(X4,X2),f(X4,X2))) = f(f(f(X1,X2),f(X3,X2)),X4) ),
% 268.21/268.63 inference(orient,[status(thm)],['0.2926.1.0',theory(equality)]),
% 268.21/268.63 [x,rule_2733]).
% 268.21/268.63 cnf('0.2927.0.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X1,X2)),f(f(X3,X2),f(X3,X2))) = f(X3,f(X3,f(f(f(X3,X2),f(X3,X2)),X1))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.339.2.0','0.2926.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2.2','L')]).
% 268.21/268.63 cnf('0.2927.0.1',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X1,X2)),X3) = f(X3,f(X3,f(f(f(X3,X2),f(X3,X2)),X1))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.2927.0.0','0.2926.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','L')]).
% 268.21/268.63 cnf('0.2927.0.2',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X1,X2)),X3) = f(X1,f(f(X3,X2),f(X3,X2))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['0.2927.0.1','0.339.2.0',theory(equality)]),
% 268.21/268.63 [pos('R','L')]).
% 268.21/268.63 cnf('0.2927.1.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X1,X2)),X3) = f(X1,f(f(X3,X2),f(X3,X2))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.2927.0.2']),
% 268.21/268.63 [weight('<360,2926,339,[0,0,0,4]>')]).
% 268.21/268.63 cnf('0.2927.2.0',plain,
% 268.21/268.63 ( f(f(f(X1,X2),f(X1,X2)),X3) = f(X1,f(f(X3,X2),f(X3,X2))) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.2927.1.0']),
% 268.21/268.63 [equation_194]).
% 268.21/268.63 cnf('0.2928.0.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X3),f(X2,X3))) = f(X2,f(f(X1,X3),f(X1,X3))) ),
% 268.21/268.63 inference(cp,[status(thm)],['0.2927.2.0','0.159.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','L')]).
% 268.21/268.63 cnf('0.2928.1.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X3),f(X2,X3))) = f(X2,f(f(X1,X3),f(X1,X3))) ),
% 268.21/268.63 inference(weigh,[status(thm)],['0.2928.0.0']),
% 268.21/268.63 [weight('<360,2927,159,[1,0,0,0]>')]).
% 268.21/268.63 cnf('0.2928.2.0',plain,
% 268.21/268.63 ( f(X1,f(f(X2,X3),f(X2,X3))) = f(X2,f(f(X1,X3),f(X1,X3))) ),
% 268.21/268.63 inference(activate,[status(thm)],['0.2928.1.0']),
% 268.21/268.63 [equation_195]).
% 268.21/268.63 cnf('1.0.0.0',conjecture,
% 268.21/268.63 ( f(a,f(f(b,c),f(b,c))) = f(c,f(f(b,a),f(b,a))) ),
% 268.21/268.63 file('/tmp/WALDMEISTER_19818_n027',conjecture_1)).
% 268.21/268.63 cnf('1.0.0.1',plain,
% 268.21/268.63 ( f(a,f(f(b,c),f(b,c))) = f(c,f(f(a,b),f(a,b))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['1.0.0.0','0.208.2.0',theory(equality)]),
% 268.21/268.63 [pos('R.2','L')]).
% 268.21/268.63 cnf('1.0.0.2',plain,
% 268.21/268.63 ( f(a,f(f(c,b),f(c,b))) = f(c,f(f(a,b),f(a,b))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['1.0.0.1','0.325.2.0',theory(equality)]),
% 268.21/268.63 [pos('L.2','L')]).
% 268.21/268.63 cnf('1.0.0.3',plain,
% 268.21/268.63 ( f(c,f(f(a,b),f(a,b))) = f(c,f(f(a,b),f(a,b))) ),
% 268.21/268.63 inference(reduction,[status(thm)],['1.0.0.2','0.2928.2.0',theory(equality)]),
% 268.21/268.63 [pos('L','L')]).
% 268.21/268.63 cnf('1.0.0.4',plain,
% 268.21/268.63 ( $true ),
% 268.21/268.63 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 268.21/268.63 [conjecture_1]).
% 268.21/268.63
% 268.21/268.63 Proved Goals:
% 268.21/268.63 No. 1: f(a,f(f(b,c),f(b,c))) ?= f(c,f(f(b,a),f(b,a))) joined, current: f(c,f(f(a,b),f(a,b))) = f(c,f(f(a,b),f(a,b)))
% 268.21/268.63 1 goal was specified, which was proved.
% 268.21/268.63 % SZS output end CNFRefutation
% 268.21/268.63 #END OF PROOF
% 268.21/268.63
% 268.21/268.63 Problem WALDMEISTER_19818_n027
% 268.21/268.63 CPs.gen 30268827
% 268.21/268.63 CPs.reexp 0
% 268.21/268.63 Select 2954177
% 268.21/268.63 R 2733
% 268.21/268.63 E 195
% 268.21/268.63 vsize 11.3M
% 268.21/268.63 rss 10.2M
% 268.21/268.63 process.time 267.654s
% 268.21/268.63 wallclock.time 267.675s
% 268.21/268.63 status S
% 268.21/268.63
% 268.21/268.63
% 268.21/268.63 Waldmeister states: Goal proved.
% 268.21/268.63 % SZS status Unsatisfiable
%------------------------------------------------------------------------------