TSTP Solution File: LAT079-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT079-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.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 07:15:03 EDT 2022
% Result : Unsatisfiable 205.53s 205.98s
% Output : CNFRefutation 205.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : LAT079-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.08 % Command : woody %s
% 0.07/0.27 % Computer : n023.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Thu Jun 30 09:40:59 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.39/0.82 ********************************************************************************
% 0.39/0.82 * W A L D M E I S T E R \| \ / \|/ *
% 0.39/0.82 * |/ | \/ | *
% 0.39/0.82 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.39/0.82 * A. Jaeger and B. Loechner | | *
% 0.39/0.82 * <waldmeister@informatik.uni-kl.de> | *
% 0.39/0.82 ********************************************************************************
% 0.39/0.82
% 0.39/0.82
% 0.39/0.82 Goals:
% 0.39/0.82 ------
% 0.39/0.82
% 0.39/0.82 ( 1) f(a,f(b,f(a,f(c,c)))) ?=? f(a,f(c,f(a,f(b,b))))
% 0.39/0.82
% 0.39/0.82 Detected structure: Orkus
% 0.39/0.82 ********************************************************************************
% 0.39/0.82 ****************************** COMPLETION - PROOF ******************************
% 0.39/0.82 ********************************************************************************
% 0.39/0.82
% 205.53/205.98 joined goal: 1 f(a,f(b,f(a,f(c,c)))) ?= f(a,f(c,f(a,f(b,b)))) to f(a,f(c,f(a,f(b,b))))
% 205.53/205.98 goal joined
% 205.53/205.98 % SZS status Unsatisfiable
% 205.53/205.98 #START OF PROOF
% 205.53/205.98 % SZS output start CNFRefutation
% 205.53/205.98 cnf('0.1.0.0',axiom,
% 205.53/205.98 ( X1 = f(f(f(f(X2,X1),f(X1,X3)),X4),f(X1,f(f(f(X2,f(X2,f(f(X3,X3),X1))),X1),X3))) ),
% 205.53/205.98 file('/tmp/WALDMEISTER_2373_n023')).
% 205.53/205.98 cnf('0.1.1.0',plain,
% 205.53/205.98 ( X1 = f(f(f(f(X2,X1),f(X1,X3)),X4),f(X1,f(f(f(X2,f(X2,f(f(X3,X3),X1))),X1),X3))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.1.0.0']),
% 205.53/205.98 [weight('<0,0,0,[0,0,0,1]>')]).
% 205.53/205.98 cnf('0.1.2.0',plain,
% 205.53/205.98 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3))) = X2 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_1]).
% 205.53/205.98 cnf('0.2.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(f(f(X3,X1),f(f(X3,X1),f(f(X4,X4),f(X1,X2)))),f(X1,X2)),X4))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.2.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(f(f(X3,X1),f(f(X3,X1),f(f(X4,X4),f(X1,X2)))),f(X1,X2)),X4))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.2.0.0']),
% 205.53/205.98 [weight('<?,1,1,[0,0,0,1]>')]).
% 205.53/205.98 cnf('0.2.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),f(f(f(f(X3,X1),f(f(X3,X1),f(f(X4,X4),f(X1,X2)))),f(X1,X2)),X4))) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_2]).
% 205.53/205.98 cnf('0.3.0.0',plain,
% 205.53/205.98 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3))) = f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(f(X5,f(f(f(X1,X2),f(X2,X3)),X4)),f(f(X5,f(f(f(X1,X2),f(X2,X3)),X4)),f(f(X6,X6),f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3)))))),f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3)))),X6))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1','L')]).
% 205.53/205.98 cnf('0.3.0.1',plain,
% 205.53/205.98 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(f(X5,f(f(f(X1,X2),f(X2,X3)),X4)),f(f(X5,f(f(f(X1,X2),f(X2,X3)),X4)),f(f(X6,X6),f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3)))))),f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3)))),X6))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.3.0.0','0.1.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.3.0.2',plain,
% 205.53/205.98 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(f(X5,f(f(f(X1,X2),f(X2,X3)),X4)),f(f(X5,f(f(f(X1,X2),f(X2,X3)),X4)),f(f(X6,X6),X2))),f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3)))),X6))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.3.0.1','0.1.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.2.1.1.2.2.2','L')]).
% 205.53/205.98 cnf('0.3.0.3',plain,
% 205.53/205.98 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(f(X5,f(f(f(X1,X2),f(X2,X3)),X4)),f(f(X5,f(f(f(X1,X2),f(X2,X3)),X4)),f(f(X6,X6),X2))),X2),X6))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.3.0.2','0.1.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.2.1.2','L')]).
% 205.53/205.98 cnf('0.3.1.0',plain,
% 205.53/205.98 ( X2 = f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(f(X5,f(f(f(X1,X2),f(X2,X3)),X4)),f(f(X5,f(f(f(X1,X2),f(X2,X3)),X4)),f(f(X6,X6),X2))),X2),X6))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.3.0.3']),
% 205.53/205.98 [weight('<2161,2,1,[1,0,0,3]>')]).
% 205.53/205.98 cnf('0.3.2.0',plain,
% 205.53/205.98 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(f(X5,f(f(f(X1,X2),f(X2,X3)),X4)),f(f(X5,f(f(f(X1,X2),f(X2,X3)),X4)),f(f(X6,X6),X2))),X2),X6))) = X2 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_3]).
% 205.53/205.98 cnf('0.4.0.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X2),f(X1,f(f(f(f(X3,f(f(f(f(f(X4,X1),f(X1,X5)),X1),f(X1,f(f(f(X4,f(X4,f(f(X5,X5),X1))),X1),X5))),X2)),f(f(X3,f(f(f(f(f(X4,X1),f(X1,X5)),X1),f(X1,f(f(f(X4,f(X4,f(f(X5,X5),X1))),X1),X5))),X2)),f(f(X6,X6),X1))),X1),X6))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1.1','L')]).
% 205.53/205.98 cnf('0.4.0.1',plain,
% 205.53/205.98 ( X1 = f(f(X1,X2),f(X1,f(f(f(f(X3,f(X1,X2)),f(f(X3,f(f(f(f(f(X4,X1),f(X1,X5)),X1),f(X1,f(f(f(X4,f(X4,f(f(X5,X5),X1))),X1),X5))),X2)),f(f(X6,X6),X1))),X1),X6))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.4.0.0','0.1.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.2.1.1.1.2.1','L')]).
% 205.53/205.98 cnf('0.4.0.2',plain,
% 205.53/205.98 ( X1 = f(f(X1,X2),f(X1,f(f(f(f(X3,f(X1,X2)),f(f(X3,f(X1,X2)),f(f(X6,X6),X1))),X1),X6))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.4.0.1','0.1.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.2.1.1.2.1.2.1','L')]).
% 205.53/205.98 cnf('0.4.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X2),f(X1,f(f(f(f(X3,f(X1,X2)),f(f(X3,f(X1,X2)),f(f(X6,X6),X1))),X1),X6))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.4.0.2']),
% 205.53/205.98 [weight('<811,3,1,[1,0,0,2]>')]).
% 205.53/205.98 cnf('0.4.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X1,f(f(f(f(X3,f(X1,X2)),f(f(X3,f(X1,X2)),f(f(X4,X4),X1))),X1),X4))) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_4]).
% 205.53/205.98 cnf('0.5.0.0',plain,
% 205.53/205.98 ( X1 = f(f(X2,X1),f(X1,f(f(f(X2,f(X2,f(f(X3,X3),X1))),X1),X3))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.5.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X2,X1),f(X1,f(f(f(X2,f(X2,f(f(X3,X3),X1))),X1),X3))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.5.0.0']),
% 205.53/205.98 [weight('<419,4,1,[0,0,0,1]>')]).
% 205.53/205.98 cnf('0.5.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3))) = X2 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_5]).
% 205.53/205.98 cnf('0.8.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,f(f(X1,X2),f(f(f(f(X3,f(f(X1,X2),f(X2,f(f(f(X1,f(X1,f(f(X4,X4),X2))),X2),X4)))),f(f(X3,f(f(X1,X2),f(X2,f(f(f(X1,f(X1,f(f(X4,X4),X2))),X2),X4)))),f(f(X5,X5),f(X1,X2)))),f(X1,X2)),X5))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.8.0.1',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,f(f(X1,X2),f(f(f(f(X3,X2),f(f(X3,f(f(X1,X2),f(X2,f(f(f(X1,f(X1,f(f(X4,X4),X2))),X2),X4)))),f(f(X5,X5),f(X1,X2)))),f(X1,X2)),X5))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.8.0.0','0.5.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.2.1.1.1.2','L')]).
% 205.53/205.98 cnf('0.8.0.2',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,f(f(X1,X2),f(f(f(f(X3,X2),f(f(X3,X2),f(f(X5,X5),f(X1,X2)))),f(X1,X2)),X5))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.8.0.1','0.5.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.2.1.1.2.1.2','L')]).
% 205.53/205.98 cnf('0.8.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,f(f(X1,X2),f(f(f(f(X3,X2),f(f(X3,X2),f(f(X5,X5),f(X1,X2)))),f(X1,X2)),X5))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.8.0.2']),
% 205.53/205.98 [weight('<867,5,4,[0,0,0,1]>')]).
% 205.53/205.98 cnf('0.8.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,X1),f(f(f(f(X3,X1),f(f(X3,X1),f(f(X4,X4),f(X2,X1)))),f(X2,X1)),X4))) = f(X2,X1) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_8]).
% 205.53/205.98 cnf('0.9.0.0',plain,
% 205.53/205.98 ( X1 = f(f(X2,f(f(X3,X1),f(X1,X4))),f(X1,f(f(f(X3,f(X3,f(f(X4,X4),X1))),X1),X4))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.1.2.0','0.8.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.9.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X2,f(f(X3,X1),f(X1,X4))),f(X1,f(f(f(X3,f(X3,f(f(X4,X4),X1))),X1),X4))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.9.0.0']),
% 205.53/205.98 [weight('<701,8,1,[0,0,0,1]>')]).
% 205.53/205.98 cnf('0.9.2.0',plain,
% 205.53/205.98 ( f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,f(f(f(X2,f(X2,f(f(X4,X4),X3))),X3),X4))) = X3 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_9]).
% 205.53/205.98 cnf('0.10.0.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,X3)) = f(f(X1,X2),f(f(f(X1,X2),f(X2,X3)),X2)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.2.2.0','0.9.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.10.1.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,X3)) = f(f(X1,X2),f(f(f(X1,X2),f(X2,X3)),X2)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.10.0.0']),
% 205.53/205.98 [weight('<293,9,2,[0,0,0,6]>')]).
% 205.53/205.98 cnf('0.10.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(f(f(X1,X2),f(X2,X3)),X2)) = f(f(X1,X2),f(X2,X3)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_10]).
% 205.53/205.98 cnf('0.12.0.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3))) = f(f(X1,X2),f(X2,X2)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.10.2.0','0.5.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1','L')]).
% 205.53/205.98 cnf('0.12.0.1',plain,
% 205.53/205.98 ( X2 = f(f(X1,X2),f(X2,X2)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.12.0.0','0.5.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.12.1.0',plain,
% 205.53/205.98 ( X2 = f(f(X1,X2),f(X2,X2)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.12.0.1']),
% 205.53/205.98 [weight('<71,10,5,[1,0,0,5]>')]).
% 205.53/205.98 cnf('0.12.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,X2)) = X2 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_12]).
% 205.53/205.98 cnf('0.13.0.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X2),f(X1,X1)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.4.2.0','0.12.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.13.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X2),f(X1,X1)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.13.0.0']),
% 205.53/205.98 [weight('<71,12,4,[0,0,0,6]>')]).
% 205.53/205.98 cnf('0.13.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X1,X1)) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_13]).
% 205.53/205.98 cnf('0.15.0.0',plain,
% 205.53/205.98 ( 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))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.10.2.0','0.13.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.15.0.1',plain,
% 205.53/205.98 ( 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))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.15.0.0','0.13.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.15.0.2',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X1),X3)) = f(X1,f(f(X1,f(f(X1,X1),X3)),f(X1,X1))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.15.0.1','0.13.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.1.1','L')]).
% 205.53/205.98 cnf('0.15.0.3',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X1),X3)) = f(X1,X1) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.15.0.2','0.13.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2','L')]).
% 205.53/205.98 cnf('0.15.1.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X1),X3)) = f(X1,X1) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.15.0.3']),
% 205.53/205.98 [weight('<87,13,10,[0,0,0,1]>')]).
% 205.53/205.98 cnf('0.15.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X1),X2)) = f(X1,X1) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 205.53/205.98 [u,rule_15]).
% 205.53/205.98 cnf('0.16.0.0',plain,
% 205.53/205.98 ( f(f(X1,X1),f(X1,X1)) = f(f(X1,X1),f(X1,X2)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.15.2.0','0.12.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1','L')]).
% 205.53/205.98 cnf('0.16.0.1',plain,
% 205.53/205.98 ( X1 = f(f(X1,X1),f(X1,X2)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.16.0.0','0.12.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.16.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X1),f(X1,X2)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.16.0.1']),
% 205.53/205.98 [weight('<71,15,12,[1,0,0,3]>')]).
% 205.53/205.98 cnf('0.16.2.0',plain,
% 205.53/205.98 ( f(f(X1,X1),f(X1,X2)) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_16]).
% 205.53/205.98 cnf('0.17.0.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X1),f(X2,X1)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.16.2.0','0.8.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.17.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X1),f(X2,X1)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.17.0.0']),
% 205.53/205.98 [weight('<71,16,8,[1,0,0,4]>')]).
% 205.53/205.98 cnf('0.17.2.0',plain,
% 205.53/205.98 ( f(f(X1,X1),f(X2,X1)) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_17]).
% 205.53/205.98 cnf('0.20.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X1,X2))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.2.2.0','0.12.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.20.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X1,X2))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.20.0.0']),
% 205.53/205.98 [weight('<129,12,2,[0,0,0,6]>')]).
% 205.53/205.98 cnf('0.20.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),f(X1,X2))) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_20]).
% 205.53/205.98 cnf('0.21.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,f(f(X1,X2),f(X1,X2))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.8.2.0','0.12.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.21.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,f(f(X1,X2),f(X1,X2))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.21.0.0']),
% 205.53/205.98 [weight('<129,12,8,[0,0,0,6]>')]).
% 205.53/205.98 cnf('0.21.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,X1),f(X2,X1))) = f(X2,X1) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_21]).
% 205.53/205.98 cnf('0.22.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(f(f(X1,X2),f(X1,X2)),X1) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.16.2.0','0.4.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.22.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(f(f(X1,X2),f(X1,X2)),X1) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.22.0.0']),
% 205.53/205.98 [weight('<129,16,4,[1,0,0,4]>')]).
% 205.53/205.98 cnf('0.22.2.0',plain,
% 205.53/205.98 ( f(f(f(X1,X2),f(X1,X2)),X1) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_22]).
% 205.53/205.98 cnf('0.24.0.0',plain,
% 205.53/205.98 ( X1 = f(f(f(f(X2,X1),f(X1,X3)),X4),f(X1,X1)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.3.2.0','0.12.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.24.1.0',plain,
% 205.53/205.98 ( X1 = f(f(f(f(X2,X1),f(X1,X3)),X4),f(X1,X1)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.24.0.0']),
% 205.53/205.98 [weight('<209,12,3,[0,0,0,12]>')]).
% 205.53/205.98 cnf('0.24.2.0',plain,
% 205.53/205.98 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,X2)) = X2 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_24]).
% 205.53/205.98 cnf('0.25.0.0',plain,
% 205.53/205.98 ( f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,f(f(f(X2,f(X2,f(f(X4,X4),X3))),X3),X4))) = f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,f(f(f(X2,f(X2,f(f(X4,X4),X3))),X3),X4))))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.20.2.0','0.9.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1','L')]).
% 205.53/205.98 cnf('0.25.0.1',plain,
% 205.53/205.98 ( X3 = f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,f(f(f(X2,f(X2,f(f(X4,X4),X3))),X3),X4))))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.25.0.0','0.9.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.25.0.2',plain,
% 205.53/205.98 ( X3 = f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,X3)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.25.0.1','0.9.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.2','L')]).
% 205.53/205.98 cnf('0.25.1.0',plain,
% 205.53/205.98 ( X3 = f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,X3)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.25.0.2']),
% 205.53/205.98 [weight('<209,20,9,[1,0,0,3]>')]).
% 205.53/205.98 cnf('0.25.2.0',plain,
% 205.53/205.98 ( f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,X3)) = X3 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_25]).
% 205.53/205.98 cnf('0.26.0.0',plain,
% 205.53/205.98 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3))) = f(f(X2,f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3)))),f(f(f(X1,X2),f(X2,X3)),X4)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.22.2.0','0.1.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1.1','L')]).
% 205.53/205.98 cnf('0.26.0.1',plain,
% 205.53/205.98 ( X2 = f(f(X2,f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3)))),f(f(f(X1,X2),f(X2,X3)),X4)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.26.0.0','0.1.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.26.0.2',plain,
% 205.53/205.98 ( X2 = f(f(X2,X2),f(f(f(X1,X2),f(X2,X3)),X4)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.26.0.1','0.1.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.1.2','L')]).
% 205.53/205.98 cnf('0.26.1.0',plain,
% 205.53/205.98 ( X2 = f(f(X2,X2),f(f(f(X1,X2),f(X2,X3)),X4)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.26.0.2']),
% 205.53/205.98 [weight('<209,22,1,[1,0,0,2]>')]).
% 205.53/205.98 cnf('0.26.2.0',plain,
% 205.53/205.98 ( f(f(X1,X1),f(f(f(X2,X1),f(X1,X3)),X4)) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_26]).
% 205.53/205.98 cnf('0.27.0.0',plain,
% 205.53/205.98 ( f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,f(f(f(X2,f(X2,f(f(X4,X4),X3))),X3),X4))) = f(f(X3,f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,f(f(f(X2,f(X2,f(f(X4,X4),X3))),X3),X4)))),f(X1,f(f(X2,X3),f(X3,X4)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.22.2.0','0.9.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1.1','L')]).
% 205.53/205.98 cnf('0.27.0.1',plain,
% 205.53/205.98 ( X3 = f(f(X3,f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,f(f(f(X2,f(X2,f(f(X4,X4),X3))),X3),X4)))),f(X1,f(f(X2,X3),f(X3,X4)))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.27.0.0','0.9.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.27.0.2',plain,
% 205.53/205.98 ( X3 = f(f(X3,X3),f(X1,f(f(X2,X3),f(X3,X4)))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.27.0.1','0.9.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.1.2','L')]).
% 205.53/205.98 cnf('0.27.1.0',plain,
% 205.53/205.98 ( X3 = f(f(X3,X3),f(X1,f(f(X2,X3),f(X3,X4)))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.27.0.2']),
% 205.53/205.98 [weight('<209,22,9,[1,0,0,2]>')]).
% 205.53/205.98 cnf('0.27.2.0',plain,
% 205.53/205.98 ( f(f(X1,X1),f(X2,f(f(X3,X1),f(X1,X4)))) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_27]).
% 205.53/205.98 cnf('0.28.0.0',plain,
% 205.53/205.98 ( X1 = f(f(f(f(X2,X1),f(X3,X1)),X4),f(X1,X1)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.24.2.0','0.8.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1.1.2','L')]).
% 205.53/205.98 cnf('0.28.1.0',plain,
% 205.53/205.98 ( X1 = f(f(f(f(X2,X1),f(X3,X1)),X4),f(X1,X1)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.28.0.0']),
% 205.53/205.98 [weight('<209,24,8,[1,0,0,6]>')]).
% 205.53/205.98 cnf('0.28.2.0',plain,
% 205.53/205.98 ( f(f(f(f(X1,X2),f(X3,X2)),X4),f(X2,X2)) = X2 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_28]).
% 205.53/205.98 cnf('0.31.0.0',plain,
% 205.53/205.98 ( X1 = f(f(X2,f(f(X3,X1),f(X4,X1))),f(X1,X1)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.25.2.0','0.8.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1.2.2','L')]).
% 205.53/205.98 cnf('0.31.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X2,f(f(X3,X1),f(X4,X1))),f(X1,X1)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.31.0.0']),
% 205.53/205.98 [weight('<209,25,8,[1,0,0,7]>')]).
% 205.53/205.98 cnf('0.31.2.0',plain,
% 205.53/205.98 ( f(f(X1,f(f(X2,X3),f(X4,X3))),f(X3,X3)) = X3 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_31]).
% 205.53/205.98 cnf('0.34.0.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X1),f(f(f(X2,X1),f(X3,X1)),X4)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.26.2.0','0.8.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1.2','L')]).
% 205.53/205.98 cnf('0.34.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X1),f(f(f(X2,X1),f(X3,X1)),X4)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.34.0.0']),
% 205.53/205.98 [weight('<209,26,8,[1,0,0,9]>')]).
% 205.53/205.98 cnf('0.34.2.0',plain,
% 205.53/205.98 ( f(f(X1,X1),f(f(f(X2,X1),f(X3,X1)),X4)) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_34]).
% 205.53/205.98 cnf('0.37.0.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X1),f(X2,f(f(X3,X1),f(X4,X1)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.27.2.0','0.8.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2.2','L')]).
% 205.53/205.98 cnf('0.37.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X1),f(X2,f(f(X3,X1),f(X4,X1)))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.37.0.0']),
% 205.53/205.98 [weight('<209,27,8,[1,0,0,10]>')]).
% 205.53/205.98 cnf('0.37.2.0',plain,
% 205.53/205.98 ( f(f(X1,X1),f(X2,f(f(X3,X1),f(X4,X1)))) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_37]).
% 205.53/205.98 cnf('0.40.0.0',plain,
% 205.53/205.98 ( X1 = f(f(f(f(X1,X2),f(X3,X1)),X4),f(X1,X1)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.28.2.0','0.22.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1.1.1','L')]).
% 205.53/205.98 cnf('0.40.1.0',plain,
% 205.53/205.98 ( X1 = f(f(f(f(X1,X2),f(X3,X1)),X4),f(X1,X1)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.40.0.0']),
% 205.53/205.98 [weight('<209,28,22,[1,0,0,3]>')]).
% 205.53/205.98 cnf('0.40.2.0',plain,
% 205.53/205.98 ( f(f(f(f(X1,X2),f(X3,X1)),X4),f(X1,X1)) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_40]).
% 205.53/205.98 cnf('0.43.0.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X1),f(X2,f(f(X1,X3),f(X4,X1)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.37.2.0','0.22.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2.1','L')]).
% 205.53/205.98 cnf('0.43.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X1),f(X2,f(f(X1,X3),f(X4,X1)))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.43.0.0']),
% 205.53/205.98 [weight('<209,37,22,[1,0,0,7]>')]).
% 205.53/205.98 cnf('0.43.2.0',plain,
% 205.53/205.98 ( f(f(X1,X1),f(X2,f(f(X1,X3),f(X4,X1)))) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_43]).
% 205.53/205.98 cnf('0.44.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(X1,f(X1,X2)),X1))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.2.2.0','0.27.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2.1.1','L')]).
% 205.53/205.98 cnf('0.44.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(X1,f(X1,X2)),X1))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.44.0.0']),
% 205.53/205.98 [weight('<237,27,2,[0,0,0,8]>')]).
% 205.53/205.98 cnf('0.44.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),f(f(X1,f(X1,X2)),X1))) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_44]).
% 205.53/205.98 cnf('0.51.0.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3))) = f(f(X1,X2),f(X2,f(f(f(X1,X2),f(f(X1,X2),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3)))),f(X1,X2)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.44.2.0','0.5.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1','L')]).
% 205.53/205.98 cnf('0.51.0.1',plain,
% 205.53/205.98 ( X2 = f(f(X1,X2),f(X2,f(f(f(X1,X2),f(f(X1,X2),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3)))),f(X1,X2)))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.51.0.0','0.5.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.51.0.2',plain,
% 205.53/205.98 ( X2 = f(f(X1,X2),f(X2,f(f(f(X1,X2),X2),f(X1,X2)))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.51.0.1','0.5.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.2.1.2','L')]).
% 205.53/205.98 cnf('0.51.1.0',plain,
% 205.53/205.98 ( X2 = f(f(X1,X2),f(X2,f(f(f(X1,X2),X2),f(X1,X2)))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.51.0.2']),
% 205.53/205.98 [weight('<271,44,5,[1,0,0,3]>')]).
% 205.53/205.98 cnf('0.51.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(f(f(X1,X2),X2),f(X1,X2)))) = X2 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_51]).
% 205.53/205.98 cnf('0.52.0.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,X3)) = f(f(X2,X3),f(f(f(X1,X2),f(X2,X3)),X2)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.8.2.0','0.9.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.52.1.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,X3)) = f(f(X2,X3),f(f(f(X1,X2),f(X2,X3)),X2)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.52.0.0']),
% 205.53/205.98 [weight('<293,9,8,[0,0,0,6]>')]).
% 205.53/205.98 cnf('0.52.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(f(f(X3,X1),f(X1,X2)),X1)) = f(f(X3,X1),f(X1,X2)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_52]).
% 205.53/205.98 cnf('0.55.0.0',plain,
% 205.53/205.98 ( 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))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.10.2.0','0.16.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.55.0.1',plain,
% 205.53/205.98 ( 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))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.55.0.0','0.16.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.55.0.2',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),X3)) = f(X1,f(f(X1,f(f(X1,X2),X3)),f(X1,X2))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.55.0.1','0.16.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.1.1','L')]).
% 205.53/205.98 cnf('0.55.1.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),X3)) = f(X1,f(f(X1,f(f(X1,X2),X3)),f(X1,X2))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.55.0.2']),
% 205.53/205.98 [weight('<293,16,10,[0,0,0,1]>')]).
% 205.53/205.98 cnf('0.55.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,f(f(X1,X2),X3)),f(X1,X2))) = f(X1,f(f(X1,X2),X3)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_55]).
% 205.53/205.98 cnf('0.56.0.0',plain,
% 205.53/205.98 ( 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))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.10.2.0','0.17.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.56.0.1',plain,
% 205.53/205.98 ( 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))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.56.0.0','0.17.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.56.0.2',plain,
% 205.53/205.98 ( f(X1,f(f(X2,X1),X3)) = f(X1,f(f(X1,f(f(X2,X1),X3)),f(X2,X1))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.56.0.1','0.17.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.1.1','L')]).
% 205.53/205.98 cnf('0.56.1.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,X1),X3)) = f(X1,f(f(X1,f(f(X2,X1),X3)),f(X2,X1))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.56.0.2']),
% 205.53/205.98 [weight('<293,17,10,[0,0,0,1]>')]).
% 205.53/205.98 cnf('0.56.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,f(f(X2,X1),X3)),f(X2,X1))) = f(X1,f(f(X2,X1),X3)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_56]).
% 205.53/205.98 cnf('0.63.0.0',plain,
% 205.53/205.98 ( f(f(X1,f(X2,X3)),f(f(X2,X3),f(X2,f(f(f(f(X4,f(X2,X3)),f(f(X4,f(X2,X3)),f(f(X5,X5),X2))),X2),X5)))) = f(X2,f(f(f(X1,f(X2,X3)),f(f(X2,X3),f(X2,f(f(f(f(X4,f(X2,X3)),f(f(X4,f(X2,X3)),f(f(X5,X5),X2))),X2),X5)))),f(X2,X3))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.52.2.0','0.4.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.63.0.1',plain,
% 205.53/205.98 ( f(f(X1,f(X2,X3)),X2) = f(X2,f(f(f(X1,f(X2,X3)),f(f(X2,X3),f(X2,f(f(f(f(X4,f(X2,X3)),f(f(X4,f(X2,X3)),f(f(X5,X5),X2))),X2),X5)))),f(X2,X3))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.63.0.0','0.4.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.63.0.2',plain,
% 205.53/205.98 ( f(f(X1,f(X2,X3)),X2) = f(X2,f(f(f(X1,f(X2,X3)),X2),f(X2,X3))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.63.0.1','0.4.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.1.2','L')]).
% 205.53/205.98 cnf('0.63.1.0',plain,
% 205.53/205.98 ( f(f(X1,f(X2,X3)),X2) = f(X2,f(f(f(X1,f(X2,X3)),X2),f(X2,X3))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.63.0.2']),
% 205.53/205.98 [weight('<293,52,4,[1,0,0,1]>')]).
% 205.53/205.98 cnf('0.63.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(f(X2,f(X1,X3)),X1),f(X1,X3))) = f(f(X2,f(X1,X3)),X1) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_63]).
% 205.53/205.98 cnf('0.64.0.0',plain,
% 205.53/205.98 ( f(f(f(X1,X1),f(X2,X1)),X2) = f(X2,f(f(X1,X2),f(X2,X1))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.63.2.0','0.17.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1.1','L')]).
% 205.53/205.98 cnf('0.64.0.1',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,f(f(X1,X2),f(X2,X1))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.64.0.0','0.17.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.64.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,f(f(X1,X2),f(X2,X1))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.64.0.1']),
% 205.53/205.98 [weight('<129,63,17,[1,0,0,4]>')]).
% 205.53/205.98 cnf('0.64.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,X1),f(X1,X2))) = f(X2,X1) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_64]).
% 205.53/205.98 cnf('0.88.0.0',plain,
% 205.53/205.98 ( f(X1,X1) = f(X1,f(X2,f(f(f(X1,X1),X3),f(X4,f(X1,X1))))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.43.2.0','0.12.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.88.1.0',plain,
% 205.53/205.98 ( f(X1,X1) = f(X1,f(X2,f(f(f(X1,X1),X3),f(X4,f(X1,X1))))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.88.0.0']),
% 205.53/205.98 [weight('<303,43,12,[1,0,0,1]>')]).
% 205.53/205.98 cnf('0.88.2.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(f(X1,X1),X3),f(X4,f(X1,X1))))) = f(X1,X1) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_88]).
% 205.53/205.98 cnf('0.89.0.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,f(f(X2,X3),f(X3,X4))),f(X3,f(f(f(X2,f(X2,f(f(X4,X4),X3))),X3),X4)))) = f(X1,f(f(X1,X3),f(X1,f(f(X2,X3),f(X3,X4))))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.55.2.0','0.9.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1.2','L')]).
% 205.53/205.98 cnf('0.89.0.1',plain,
% 205.53/205.98 ( f(X1,X3) = f(X1,f(f(X1,X3),f(X1,f(f(X2,X3),f(X3,X4))))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.89.0.0','0.9.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.89.1.0',plain,
% 205.53/205.98 ( f(X1,X3) = f(X1,f(f(X1,X3),f(X1,f(f(X2,X3),f(X3,X4))))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.89.0.1']),
% 205.53/205.98 [weight('<303,55,9,[1,0,0,5]>')]).
% 205.53/205.98 cnf('0.89.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),f(X1,f(f(X3,X2),f(X2,X4))))) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_89]).
% 205.53/205.98 cnf('0.90.0.0',plain,
% 205.53/205.98 ( 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))))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.55.2.0','0.31.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1.2','L')]).
% 205.53/205.98 cnf('0.90.0.1',plain,
% 205.53/205.98 ( f(X1,X3) = f(X1,f(f(X1,X3),f(X1,f(f(X2,X3),f(X4,X3))))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.90.0.0','0.31.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.90.1.0',plain,
% 205.53/205.98 ( f(X1,X3) = f(X1,f(f(X1,X3),f(X1,f(f(X2,X3),f(X4,X3))))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.90.0.1']),
% 205.53/205.98 [weight('<303,55,31,[1,0,0,5]>')]).
% 205.53/205.98 cnf('0.90.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),f(X1,f(f(X3,X2),f(X4,X2))))) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_90]).
% 205.53/205.98 cnf('0.96.0.0',plain,
% 205.53/205.98 ( f(X1,f(f(f(f(X2,X3),f(X4,X2)),X1),f(X2,X2))) = f(X1,f(f(X1,X2),f(f(f(X2,X3),f(X4,X2)),X1))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.56.2.0','0.40.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1.2','L')]).
% 205.53/205.98 cnf('0.96.0.1',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(f(X2,X3),f(X4,X2)),X1))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.96.0.0','0.40.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.96.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(f(X2,X3),f(X4,X2)),X1))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.96.0.1']),
% 205.53/205.98 [weight('<303,56,40,[1,0,0,5]>')]).
% 205.53/205.98 cnf('0.96.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),f(f(f(X2,X3),f(X4,X2)),X1))) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_96]).
% 205.53/205.98 cnf('0.97.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X2,X1),f(X1,X2))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.96.2.0','0.52.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.97.0.1',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,X1) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.97.0.0','0.64.2.0',theory(equality)]),
% 205.53/205.98 [pos('R','L')]).
% 205.53/205.98 cnf('0.97.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,X1) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.97.0.1']),
% 205.53/205.98 [weight('<48,96,52,[1,0,0,2]>')]).
% 205.53/205.98 cnf('0.97.2.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,X1) ),
% 205.53/205.98 inference(activate,[status(thm)],['0.97.1.0']),
% 205.53/205.98 [equation_1]).
% 205.53/205.98 cnf('0.104.0.0',plain,
% 205.53/205.98 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3))) = X2 ),
% 205.53/205.98 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 205.53/205.98 cnf('0.104.1.0',plain,
% 205.53/205.98 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(f(X1,f(X1,f(f(X3,X3),X2))),X2),X3))) = X2 ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.104.0.0']),
% 205.53/205.98 [weight('<?,1,97,[0,0,0,0]>')]).
% 205.53/205.98 cnf('0.104.1.1',plain,
% 205.53/205.98 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(X3,f(f(X1,f(X1,f(f(X3,X3),X2))),X2)))) = X2 ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.104.1.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.104.1.2',plain,
% 205.53/205.98 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(X3,f(X2,f(X1,f(X1,f(f(X3,X3),X2))))))) = X2 ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.104.1.1','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2.2','L')]).
% 205.53/205.98 cnf('0.104.2.0',plain,
% 205.53/205.98 ( f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(X3,f(X2,f(X1,f(X1,f(f(X3,X3),X2))))))) = X2 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.104.1.2',theory(equality)]),
% 205.53/205.98 [u,rule_103]).
% 205.53/205.98 cnf('0.107.0.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(f(f(X1,X2),X2),f(X1,X2)))) = X2 ),
% 205.53/205.98 inference(interreduction_right,[status(thm)],['0.51.2.0'])).
% 205.53/205.98 cnf('0.107.1.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(f(f(X1,X2),X2),f(X1,X2)))) = X2 ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.107.0.0']),
% 205.53/205.98 [weight('<271,51,97,[0,0,0,0]>')]).
% 205.53/205.98 cnf('0.107.1.1',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(f(X1,X2),f(f(X1,X2),X2)))) = X2 ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.107.1.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.107.1.2',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(f(X1,X2),f(X2,f(X1,X2))))) = X2 ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.107.1.1','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2.2','L')]).
% 205.53/205.98 cnf('0.107.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(f(X1,X2),f(X2,f(X1,X2))))) = X2 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.107.1.2',theory(equality)]),
% 205.53/205.98 [u,rule_106]).
% 205.53/205.98 cnf('0.117.0.0',plain,
% 205.53/205.98 ( X1 = f(f(X2,X1),f(X1,f(f(X2,X1),f(X1,f(X1,X2))))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.107.2.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2.2.2','L')]).
% 205.53/205.98 cnf('0.117.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X2,X1),f(X1,f(f(X2,X1),f(X1,f(X1,X2))))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.117.0.0']),
% 205.53/205.98 [weight('<271,107,97,[1,0,0,12]>')]).
% 205.53/205.98 cnf('0.117.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(f(X1,X2),f(X2,f(X2,X1))))) = X2 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.117.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_116]).
% 205.53/205.98 cnf('0.119.0.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(f(f(X1,X2),f(X2,X3)),X2)) = f(f(X1,X2),f(X2,X3)) ),
% 205.53/205.98 inference(interreduction_right,[status(thm)],['0.10.2.0'])).
% 205.53/205.98 cnf('0.119.1.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(f(f(X1,X2),f(X2,X3)),X2)) = f(f(X1,X2),f(X2,X3)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.119.0.0']),
% 205.53/205.98 [weight('<293,10,97,[0,0,0,0]>')]).
% 205.53/205.98 cnf('0.119.1.1',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(f(X1,X2),f(X2,X3)))) = f(f(X1,X2),f(X2,X3)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.119.1.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.119.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(f(X1,X2),f(X2,X3)))) = f(f(X1,X2),f(X2,X3)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.119.1.1',theory(equality)]),
% 205.53/205.98 [u,rule_118]).
% 205.53/205.98 cnf('0.120.0.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(f(X1,X2),f(X2,f(X1,X2))))) = X2 ),
% 205.53/205.98 inference(interreduction_right,[status(thm)],['0.107.2.0'])).
% 205.53/205.98 cnf('0.120.0.1',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(X1,X2))) = X2 ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.120.0.0','0.119.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.120.1.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(X1,X2))) = X2 ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.120.0.1']),
% 205.53/205.98 [weight('<109,107,119,[0,0,0,0]>')]).
% 205.53/205.98 cnf('0.120.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(X1,X2))) = X2 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 205.53/205.98 [u,rule_119]).
% 205.53/205.98 cnf('0.121.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(X1,X1),f(X1,X2)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.120.2.0','0.16.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.121.0.1',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X1,X2),X1)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.121.0.0','0.16.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.2','L')]).
% 205.53/205.98 cnf('0.121.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X1,X2),X1)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.121.0.1']),
% 205.53/205.98 [weight('<87,120,16,[1,0,0,1]>')]).
% 205.53/205.98 cnf('0.121.1.1',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(X1,f(X1,X2))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.121.1.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2','L')]).
% 205.53/205.98 cnf('0.121.2.0',plain,
% 205.53/205.98 ( f(X1,f(X1,f(X1,X2))) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.121.1.1',theory(equality)]),
% 205.53/205.98 [x,rule_120]).
% 205.53/205.98 cnf('0.122.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,f(f(X1,X2),f(f(X2,X2),f(X1,X2)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.120.2.0','0.17.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.122.0.1',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,f(f(X1,X2),X2)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.122.0.0','0.17.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.2','L')]).
% 205.53/205.98 cnf('0.122.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,f(f(X1,X2),X2)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.122.0.1']),
% 205.53/205.98 [weight('<87,120,17,[1,0,0,1]>')]).
% 205.53/205.98 cnf('0.122.1.1',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,f(X2,f(X1,X2))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.122.1.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2','L')]).
% 205.53/205.98 cnf('0.122.2.0',plain,
% 205.53/205.98 ( f(X1,f(X1,f(X2,X1))) = f(X2,X1) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.122.1.1',theory(equality)]),
% 205.53/205.98 [x,rule_121]).
% 205.53/205.98 cnf('0.123.0.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(f(X1,X2),f(X2,f(X2,X1))))) = X2 ),
% 205.53/205.98 inference(interreduction_right,[status(thm)],['0.117.2.0'])).
% 205.53/205.98 cnf('0.123.0.1',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(X2,X1))) = X2 ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.123.0.0','0.119.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.123.1.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(X2,X1))) = X2 ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.123.0.1']),
% 205.53/205.98 [weight('<109,117,119,[0,0,0,0]>')]).
% 205.53/205.98 cnf('0.123.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(X2,X1))) = X2 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.123.1.0',theory(equality)]),
% 205.53/205.98 [u,rule_122]).
% 205.53/205.98 cnf('0.126.0.0',plain,
% 205.53/205.98 ( f(f(X1,X1),f(f(X2,X1),f(X1,X3))) = f(f(X1,X1),X1) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.121.2.0','0.27.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.126.1.0',plain,
% 205.53/205.98 ( f(f(X1,X1),f(f(X2,X1),f(X1,X3))) = f(f(X1,X1),X1) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.126.0.0']),
% 205.53/205.98 [weight('<203,121,27,[1,0,0,2]>')]).
% 205.53/205.98 cnf('0.126.1.1',plain,
% 205.53/205.98 ( f(f(X1,X1),f(f(X2,X1),f(X1,X3))) = f(X1,f(X1,X1)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.126.1.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('R','L')]).
% 205.53/205.98 cnf('0.126.2.0',plain,
% 205.53/205.98 ( f(f(X1,X1),f(f(X2,X1),f(X1,X3))) = f(X1,f(X1,X1)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.126.1.1',theory(equality)]),
% 205.53/205.98 [u,rule_125]).
% 205.53/205.98 cnf('0.127.0.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X1),f(X2,f(X2,X2))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.43.2.0','0.126.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.127.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X1),f(X2,f(X2,X2))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.127.0.0']),
% 205.53/205.98 [weight('<109,126,43,[0,0,0,4]>')]).
% 205.53/205.98 cnf('0.127.2.0',plain,
% 205.53/205.98 ( f(f(X1,X1),f(X2,f(X2,X2))) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.127.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_126]).
% 205.53/205.98 cnf('0.128.0.0',plain,
% 205.53/205.98 ( 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))))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.21.2.0','0.127.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1','L')]).
% 205.53/205.98 cnf('0.128.0.1',plain,
% 205.53/205.98 ( X1 = f(f(X2,f(X2,X2)),f(X1,f(f(X1,X1),f(X2,f(X2,X2))))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.128.0.0','0.127.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.128.0.2',plain,
% 205.53/205.98 ( X1 = f(f(X2,f(X2,X2)),f(X1,X1)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.128.0.1','0.15.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2','L')]).
% 205.53/205.98 cnf('0.128.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X2,f(X2,X2)),f(X1,X1)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.128.0.2']),
% 205.53/205.98 [weight('<109,127,21,[0,0,0,3]>')]).
% 205.53/205.98 cnf('0.128.2.0',plain,
% 205.53/205.98 ( f(f(X1,f(X1,X1)),f(X2,X2)) = X2 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.128.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_127]).
% 205.53/205.98 cnf('0.129.0.0',plain,
% 205.53/205.98 ( f(X1,X1) = f(X1,f(X2,f(X2,X2))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.88.2.0','0.126.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.129.1.0',plain,
% 205.53/205.98 ( f(X1,X1) = f(X1,f(X2,f(X2,X2))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.129.0.0']),
% 205.53/205.98 [weight('<120,126,88,[0,0,0,2]>')]).
% 205.53/205.98 cnf('0.129.2.0',plain,
% 205.53/205.98 ( f(X1,X1) = f(X1,f(X2,f(X2,X2))) ),
% 205.53/205.98 inference(activate,[status(thm)],['0.129.1.0']),
% 205.53/205.98 [equation_2]).
% 205.53/205.98 cnf('0.129.2.1',plain,
% 205.53/205.98 ( f(X1,X1) = f(X1,f(c,f(c,c))) ),
% 205.53/205.98 inference(instr,[status(thm)],['0.129.2.0',theory(equality)])).
% 205.53/205.98 cnf('0.130.0.0',plain,
% 205.53/205.98 ( f(X1,X1) = f(f(X2,f(X2,X2)),X1) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.128.2.0','0.12.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.130.1.0',plain,
% 205.53/205.98 ( f(X1,X1) = f(f(X2,f(X2,X2)),X1) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.130.0.0']),
% 205.53/205.98 [weight('<120,128,12,[1,0,0,6]>')]).
% 205.53/205.98 cnf('0.130.2.0',plain,
% 205.53/205.98 ( f(X1,X1) = f(f(X2,f(X2,X2)),X1) ),
% 205.53/205.98 inference(activate,[status(thm)],['0.130.1.0']),
% 205.53/205.98 [equation_3]).
% 205.53/205.98 cnf('0.130.2.1',plain,
% 205.53/205.98 ( f(X1,X1) = f(f(c,f(c,c)),X1) ),
% 205.53/205.98 inference(instr,[status(thm)],['0.130.2.0',theory(equality)])).
% 205.53/205.98 cnf('0.148.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X3,f(X3,X3)),f(X1,X2))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.20.2.0','0.130.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.148.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X3,f(X3,X3)),f(X1,X2))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.148.0.0']),
% 205.53/205.98 [weight('<179,130,20,[0,0,0,2]>')]).
% 205.53/205.98 cnf('0.148.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,f(X2,X2)),f(X1,X3))) = f(X1,X3) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.148.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_144]).
% 205.53/205.98 cnf('0.149.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,f(f(X3,f(X3,X3)),f(X1,X2))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.21.2.0','0.130.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.149.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X2,f(f(X3,f(X3,X3)),f(X1,X2))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.149.0.0']),
% 205.53/205.98 [weight('<179,130,21,[0,0,0,2]>')]).
% 205.53/205.98 cnf('0.149.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,f(X2,X2)),f(X3,X1))) = f(X3,X1) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.149.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_145]).
% 205.53/205.98 cnf('0.159.0.0',plain,
% 205.53/205.98 ( f(f(X1,f(X1,X1)),X2) = f(X2,f(X3,f(X3,X3))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.130.2.0','0.129.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.159.1.0',plain,
% 205.53/205.98 ( f(f(X1,f(X1,X1)),X2) = f(X2,f(X3,f(X3,X3))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.159.0.0']),
% 205.53/205.98 [weight('<224,130,129,[1,0,0,0]>')]).
% 205.53/205.98 cnf('0.159.2.0',plain,
% 205.53/205.98 ( f(f(X1,f(X1,X1)),X2) = f(X2,f(X3,f(X3,X3))) ),
% 205.53/205.98 inference(activate,[status(thm)],['0.159.1.0']),
% 205.53/205.98 [equation_5]).
% 205.53/205.98 cnf('0.159.2.1',plain,
% 205.53/205.98 ( f(f(X1,f(X1,X1)),X2) = f(X2,f(c,f(c,c))) ),
% 205.53/205.98 inference(instr,[status(thm)],['0.159.2.0',theory(equality)])).
% 205.53/205.98 cnf('0.159.2.2',plain,
% 205.53/205.98 ( f(f(c,f(c,c)),X1) = f(X1,f(X2,f(X2,X2))) ),
% 205.53/205.98 inference(instl,[status(thm)],['0.159.2.0',theory(equality)])).
% 205.53/205.98 cnf('0.194.0.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X1),f(f(f(X2,f(X2,X2)),f(X3,X1)),X4)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.34.2.0','0.130.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1','L')]).
% 205.53/205.98 cnf('0.194.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,X1),f(f(f(X2,f(X2,X2)),f(X3,X1)),X4)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.194.0.0']),
% 205.53/205.98 [weight('<271,130,34,[0,0,0,5]>')]).
% 205.53/205.98 cnf('0.194.2.0',plain,
% 205.53/205.98 ( f(f(X1,X1),f(f(f(X2,f(X2,X2)),f(X3,X1)),X4)) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.194.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_189]).
% 205.53/205.98 cnf('0.209.0.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,f(f(X1,X2),X3)),f(X1,X2))) = f(X1,f(f(X1,X2),X3)) ),
% 205.53/205.98 inference(interreduction_right,[status(thm)],['0.55.2.0'])).
% 205.53/205.98 cnf('0.209.1.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,f(f(X1,X2),X3)),f(X1,X2))) = f(X1,f(f(X1,X2),X3)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.209.0.0']),
% 205.53/205.98 [weight('<293,55,97,[0,0,0,0]>')]).
% 205.53/205.98 cnf('0.209.1.1',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),f(X1,f(f(X1,X2),X3)))) = f(X1,f(f(X1,X2),X3)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.209.1.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.209.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),f(X1,f(f(X1,X2),X3)))) = f(X1,f(f(X1,X2),X3)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.209.1.1',theory(equality)]),
% 205.53/205.98 [u,rule_204]).
% 205.53/205.98 cnf('0.210.0.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),f(X2,X3))) = f(X1,X2) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.209.2.0','0.89.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.210.1.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),f(X2,X3))) = f(X1,X2) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.210.0.0']),
% 205.53/205.98 [weight('<129,209,89,[1,0,0,0]>')]).
% 205.53/205.98 cnf('0.210.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),f(X2,X3))) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.210.1.0',theory(equality)]),
% 205.53/205.98 [u,rule_205]).
% 205.53/205.98 cnf('0.211.0.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),f(X3,X2))) = f(X1,X2) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.209.2.0','0.90.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.211.1.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),f(X3,X2))) = f(X1,X2) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.211.0.0']),
% 205.53/205.98 [weight('<129,209,90,[1,0,0,0]>')]).
% 205.53/205.98 cnf('0.211.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),f(X3,X2))) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.211.1.0',theory(equality)]),
% 205.53/205.98 [u,rule_206]).
% 205.53/205.98 cnf('0.212.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X2,X3),f(X1,X2))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.210.2.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.212.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X2,X3),f(X1,X2))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.212.0.0']),
% 205.53/205.98 [weight('<129,210,97,[1,0,0,2]>')]).
% 205.53/205.98 cnf('0.212.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,X3),f(X1,X2))) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.212.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_207]).
% 205.53/205.98 cnf('0.213.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X2,X1),f(X2,X3))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.210.2.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1','L')]).
% 205.53/205.98 cnf('0.213.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X2,X1),f(X2,X3))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.213.0.0']),
% 205.53/205.98 [weight('<129,210,97,[1,0,0,3]>')]).
% 205.53/205.98 cnf('0.213.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,X1),f(X2,X3))) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.213.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_208]).
% 205.53/205.98 cnf('0.216.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X2,X3),f(X2,X1))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.212.2.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.216.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X2,X3),f(X2,X1))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.216.0.0']),
% 205.53/205.98 [weight('<129,212,97,[1,0,0,6]>')]).
% 205.53/205.98 cnf('0.216.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,X3),f(X2,X1))) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.216.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_211]).
% 205.53/205.98 cnf('0.218.0.0',plain,
% 205.53/205.98 ( f(X1,f(X2,X3)) = f(X1,f(f(X1,f(X2,X3)),X3)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.210.2.0','0.12.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.218.1.0',plain,
% 205.53/205.98 ( f(X1,f(X2,X3)) = f(X1,f(f(X1,f(X2,X3)),X3)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.218.0.0']),
% 205.53/205.98 [weight('<149,210,12,[1,0,0,6]>')]).
% 205.53/205.98 cnf('0.218.1.1',plain,
% 205.53/205.98 ( f(X1,f(X2,X3)) = f(X1,f(X3,f(X1,f(X2,X3)))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.218.1.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2','L')]).
% 205.53/205.98 cnf('0.218.2.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(X1,f(X3,X2)))) = f(X1,f(X3,X2)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.218.1.1',theory(equality)]),
% 205.53/205.98 [x,rule_213]).
% 205.53/205.98 cnf('0.219.0.0',plain,
% 205.53/205.98 ( f(X1,f(X2,X3)) = f(X1,f(f(X1,f(X2,X3)),X2)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.210.2.0','0.13.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.219.1.0',plain,
% 205.53/205.98 ( f(X1,f(X2,X3)) = f(X1,f(f(X1,f(X2,X3)),X2)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.219.0.0']),
% 205.53/205.98 [weight('<149,210,13,[1,0,0,6]>')]).
% 205.53/205.98 cnf('0.219.1.1',plain,
% 205.53/205.98 ( f(X1,f(X2,X3)) = f(X1,f(X2,f(X1,f(X2,X3)))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.219.1.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2','L')]).
% 205.53/205.98 cnf('0.219.2.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(X1,f(X2,X3)))) = f(X1,f(X2,X3)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.219.1.1',theory(equality)]),
% 205.53/205.98 [x,rule_214]).
% 205.53/205.98 cnf('0.220.0.0',plain,
% 205.53/205.98 ( f(X1,f(X2,X3)) = f(X1,f(f(f(X2,X3),X1),X3)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.213.2.0','0.12.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.220.1.0',plain,
% 205.53/205.98 ( f(X1,f(X2,X3)) = f(X1,f(f(f(X2,X3),X1),X3)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.220.0.0']),
% 205.53/205.98 [weight('<149,213,12,[1,0,0,6]>')]).
% 205.53/205.98 cnf('0.220.1.1',plain,
% 205.53/205.98 ( f(X1,f(X2,X3)) = f(X1,f(X3,f(f(X2,X3),X1))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.220.1.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2','L')]).
% 205.53/205.98 cnf('0.220.2.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X3,X2),X1))) = f(X1,f(X3,X2)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.220.1.1',theory(equality)]),
% 205.53/205.98 [x,rule_215]).
% 205.53/205.98 cnf('0.221.0.0',plain,
% 205.53/205.98 ( f(X1,f(X2,X3)) = f(X1,f(f(f(X2,X3),X1),X2)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.213.2.0','0.13.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.221.1.0',plain,
% 205.53/205.98 ( f(X1,f(X2,X3)) = f(X1,f(f(f(X2,X3),X1),X2)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.221.0.0']),
% 205.53/205.98 [weight('<149,213,13,[1,0,0,6]>')]).
% 205.53/205.98 cnf('0.221.1.1',plain,
% 205.53/205.98 ( f(X1,f(X2,X3)) = f(X1,f(X2,f(f(X2,X3),X1))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.221.1.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2','L')]).
% 205.53/205.98 cnf('0.221.2.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X2,X3),X1))) = f(X1,f(X2,X3)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.221.1.1',theory(equality)]),
% 205.53/205.98 [x,rule_216]).
% 205.53/205.98 cnf('0.228.0.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(X1,X2))) = f(f(X1,X2),f(X2,f(f(X2,f(X1,X2)),X3))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.210.2.0','0.120.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1','L')]).
% 205.53/205.98 cnf('0.228.0.1',plain,
% 205.53/205.98 ( X2 = f(f(X1,X2),f(X2,f(f(X2,f(X1,X2)),X3))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.228.0.0','0.120.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.228.1.0',plain,
% 205.53/205.98 ( X2 = f(f(X1,X2),f(X2,f(f(X2,f(X1,X2)),X3))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.228.0.1']),
% 205.53/205.98 [weight('<209,210,120,[1,0,0,3]>')]).
% 205.53/205.98 cnf('0.228.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(f(X2,f(X1,X2)),X3))) = X2 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.228.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_223]).
% 205.53/205.98 cnf('0.233.0.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(X2,X1))) = f(f(X1,X2),f(X2,f(X3,f(X2,f(X2,X1))))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.211.2.0','0.123.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1','L')]).
% 205.53/205.98 cnf('0.233.0.1',plain,
% 205.53/205.98 ( X2 = f(f(X1,X2),f(X2,f(X3,f(X2,f(X2,X1))))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.233.0.0','0.123.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.233.1.0',plain,
% 205.53/205.98 ( X2 = f(f(X1,X2),f(X2,f(X3,f(X2,f(X2,X1))))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.233.0.1']),
% 205.53/205.98 [weight('<209,211,123,[1,0,0,3]>')]).
% 205.53/205.98 cnf('0.233.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X2,f(X3,f(X2,f(X2,X1))))) = X2 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.233.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_228]).
% 205.53/205.98 cnf('0.239.0.0',plain,
% 205.53/205.98 ( X1 = f(f(f(X2,X1),X1),f(X1,f(X3,f(X2,X1)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.233.2.0','0.122.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2.2','L')]).
% 205.53/205.98 cnf('0.239.1.0',plain,
% 205.53/205.98 ( X1 = f(f(f(X2,X1),X1),f(X1,f(X3,f(X2,X1)))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.239.0.0']),
% 205.53/205.98 [weight('<209,233,122,[1,0,0,8]>')]).
% 205.53/205.98 cnf('0.239.1.1',plain,
% 205.53/205.98 ( X1 = f(f(X1,f(X2,X1)),f(X1,f(X3,f(X2,X1)))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.239.1.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.1','L')]).
% 205.53/205.98 cnf('0.239.2.0',plain,
% 205.53/205.98 ( f(f(X1,f(X2,X1)),f(X1,f(X3,f(X2,X1)))) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.239.1.1',theory(equality)]),
% 205.53/205.98 [x,rule_234]).
% 205.53/205.98 cnf('0.245.0.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,f(X2,X2)),X3)) = f(X1,f(f(X2,f(X2,X2)),f(f(X3,X3),X1))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.221.2.0','0.130.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2.1','R')]).
% 205.53/205.98 cnf('0.245.0.1',plain,
% 205.53/205.98 ( f(X1,f(f(X2,f(X2,X2)),X3)) = f(f(X3,X3),X1) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.245.0.0','0.149.2.0',theory(equality)]),
% 205.53/205.98 [pos('R','L')]).
% 205.53/205.98 cnf('0.245.1.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,f(X2,X2)),X3)) = f(f(X3,X3),X1) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.245.0.1']),
% 205.53/205.98 [weight('<224,221,130,[1,0,1,5]>')]).
% 205.53/205.98 cnf('0.245.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,f(X2,X2)),X3)) = f(f(X3,X3),X1) ),
% 205.53/205.98 inference(activate,[status(thm)],['0.245.1.0']),
% 205.53/205.98 [equation_7]).
% 205.53/205.98 cnf('0.245.2.2',plain,
% 205.53/205.98 ( f(X2,f(f(c,f(c,c)),X1)) = f(f(X1,X1),X2) ),
% 205.53/205.98 inference(instl,[status(thm)],['0.245.2.0',theory(equality)])).
% 205.53/205.98 cnf('0.252.0.0',plain,
% 205.53/205.98 ( f(f(f(X1,X1),f(X1,f(X1,X1))),X2) = f(f(f(f(f(X1,X1),f(X1,f(X1,X1))),X2),f(f(f(X1,X1),f(X1,f(X1,X1))),X2)),f(f(X1,X1),X3)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.194.2.0','0.228.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1','L')]).
% 205.53/205.98 cnf('0.252.0.1',plain,
% 205.53/205.98 ( f(X1,X2) = f(f(f(f(f(X1,X1),f(X1,f(X1,X1))),X2),f(f(f(X1,X1),f(X1,f(X1,X1))),X2)),f(f(X1,X1),X3)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.252.0.0','0.123.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.252.0.2',plain,
% 205.53/205.98 ( f(X1,X2) = f(f(f(X1,X2),f(f(f(X1,X1),f(X1,f(X1,X1))),X2)),f(f(X1,X1),X3)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.252.0.1','0.123.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.1.1.1','L')]).
% 205.53/205.98 cnf('0.252.0.3',plain,
% 205.53/205.98 ( f(X1,X2) = f(f(f(X1,X2),f(X1,X2)),f(f(X1,X1),X3)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.252.0.2','0.123.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.1.2.1','L')]).
% 205.53/205.98 cnf('0.252.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(f(f(X1,X2),f(X1,X2)),f(f(X1,X1),X3)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.252.0.3']),
% 205.53/205.98 [weight('<237,228,194,[0,0,0,5]>')]).
% 205.53/205.98 cnf('0.252.2.0',plain,
% 205.53/205.98 ( f(f(f(X1,X2),f(X1,X2)),f(f(X1,X1),X3)) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.252.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_245]).
% 205.53/205.98 cnf('0.253.0.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,f(f(X2,X2),X1)),f(X1,f(X2,X3))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.239.2.0','0.252.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.253.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,f(f(X2,X2),X1)),f(X1,f(X2,X3))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.253.0.0']),
% 205.53/205.98 [weight('<209,252,239,[0,0,0,8]>')]).
% 205.53/205.98 cnf('0.253.2.0',plain,
% 205.53/205.98 ( f(f(X1,f(f(X2,X2),X1)),f(X1,f(X2,X3))) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.253.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_246]).
% 205.53/205.98 cnf('0.255.0.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,f(X2,X1)),f(X1,f(f(X2,X2),X3))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.253.2.0','0.12.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1.2.1','L')]).
% 205.53/205.98 cnf('0.255.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,f(X2,X1)),f(X1,f(f(X2,X2),X3))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.255.0.0']),
% 205.53/205.98 [weight('<209,253,12,[1,0,0,4]>')]).
% 205.53/205.98 cnf('0.255.2.0',plain,
% 205.53/205.98 ( f(f(X1,f(X2,X1)),f(X1,f(f(X2,X2),X3))) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.255.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_248]).
% 205.53/205.98 cnf('0.274.0.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,f(X2,X1)),f(X1,f(X3,f(X2,X2)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.255.2.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.274.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,f(X2,X1)),f(X1,f(X3,f(X2,X2)))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.274.0.0']),
% 205.53/205.98 [weight('<209,255,97,[1,0,0,8]>')]).
% 205.53/205.98 cnf('0.274.2.0',plain,
% 205.53/205.98 ( f(f(X1,f(X2,X1)),f(X1,f(X3,f(X2,X2)))) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.274.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_267]).
% 205.53/205.98 cnf('0.287.0.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,f(f(X2,X3),X1)),f(X1,f(X3,X2))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.274.2.0','0.213.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.287.1.0',plain,
% 205.53/205.98 ( X1 = f(f(X1,f(f(X2,X3),X1)),f(X1,f(X3,X2))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.287.0.0']),
% 205.53/205.98 [weight('<209,274,213,[1,0,0,8]>')]).
% 205.53/205.98 cnf('0.287.1.1',plain,
% 205.53/205.98 ( X1 = f(f(X1,f(X3,X2)),f(X1,f(f(X2,X3),X1))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.287.1.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('R','L')]).
% 205.53/205.98 cnf('0.287.2.0',plain,
% 205.53/205.98 ( f(f(X1,f(X2,X3)),f(X1,f(f(X3,X2),X1))) = X1 ),
% 205.53/205.98 inference(orient,[status(thm)],['0.287.1.1',theory(equality)]),
% 205.53/205.98 [x,rule_280]).
% 205.53/205.98 cnf('0.318.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(f(f(X2,X1),f(X1,X2)),f(f(X1,X1),X3)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.252.2.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1.1','L')]).
% 205.53/205.98 cnf('0.318.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(f(f(X2,X1),f(X1,X2)),f(f(X1,X1),X3)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.318.0.0']),
% 205.53/205.98 [weight('<237,252,97,[1,0,0,2]>')]).
% 205.53/205.98 cnf('0.318.2.0',plain,
% 205.53/205.98 ( f(f(f(X1,X2),f(X2,X1)),f(f(X2,X2),X3)) = f(X2,X1) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.318.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_311]).
% 205.53/205.98 cnf('0.324.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(f(X3,f(X3,X3)),f(f(X1,X2),f(X2,X1))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.287.2.0','0.159.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','R')]).
% 205.53/205.98 cnf('0.324.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(f(X3,f(X3,X3)),f(f(X1,X2),f(X2,X1))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.324.0.0']),
% 205.53/205.98 [weight('<237,287,159,[1,0,1,0]>')]).
% 205.53/205.98 cnf('0.324.2.0',plain,
% 205.53/205.98 ( f(f(X1,f(X1,X1)),f(f(X2,X3),f(X3,X2))) = f(X2,X3) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.324.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_317]).
% 205.53/205.98 cnf('0.342.0.0',plain,
% 205.53/205.98 ( f(f(f(X1,X2),f(X2,X1)),f(f(X2,X2),X3)) = f(f(f(X1,X2),f(X2,X1)),f(X3,f(X2,X1))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.218.2.0','0.318.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.342.0.1',plain,
% 205.53/205.98 ( f(X2,X1) = f(f(f(X1,X2),f(X2,X1)),f(X3,f(X2,X1))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.342.0.0','0.318.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.342.1.0',plain,
% 205.53/205.98 ( f(X2,X1) = f(f(f(X1,X2),f(X2,X1)),f(X3,f(X2,X1))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.342.0.1']),
% 205.53/205.98 [weight('<237,318,218,[0,0,0,4]>')]).
% 205.53/205.98 cnf('0.342.2.0',plain,
% 205.53/205.98 ( f(f(f(X1,X2),f(X2,X1)),f(X3,f(X2,X1))) = f(X2,X1) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.342.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_335]).
% 205.53/205.98 cnf('0.343.0.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,f(X2,X2)),f(f(X3,X4),f(X4,X3)))) = f(f(X4,X3),X1) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.245.2.0','0.342.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.1','L')]).
% 205.53/205.98 cnf('0.343.0.1',plain,
% 205.53/205.98 ( f(X1,f(X3,X4)) = f(f(X4,X3),X1) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.343.0.0','0.324.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.343.1.0',plain,
% 205.53/205.98 ( f(X1,f(X3,X4)) = f(f(X4,X3),X1) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.343.0.1']),
% 205.53/205.98 [weight('<120,342,245,[0,0,1,1]>')]).
% 205.53/205.98 cnf('0.343.2.0',plain,
% 205.53/205.98 ( f(X1,f(X2,X3)) = f(f(X3,X2),X1) ),
% 205.53/205.98 inference(activate,[status(thm)],['0.343.1.0']),
% 205.53/205.98 [equation_8]).
% 205.53/205.98 cnf('0.346.0.0',plain,
% 205.53/205.98 ( f(f(f(X1,X2),X3),X4) = f(X4,f(f(X2,X1),X3)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.343.2.0','0.343.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.346.1.0',plain,
% 205.53/205.98 ( f(f(f(X1,X2),X3),X4) = f(X4,f(f(X2,X1),X3)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.346.0.0']),
% 205.53/205.98 [weight('<224,343,343,[0,0,0,2]>')]).
% 205.53/205.98 cnf('0.346.2.0',plain,
% 205.53/205.98 ( f(f(f(X1,X2),X3),X4) = f(X4,f(f(X2,X1),X3)) ),
% 205.53/205.98 inference(activate,[status(thm)],['0.346.1.0']),
% 205.53/205.98 [equation_11]).
% 205.53/205.98 cnf('0.349.0.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,X3),X4)) = f(f(X4,f(X3,X2)),X1) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.346.2.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.349.1.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,X3),X4)) = f(f(X4,f(X3,X2)),X1) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.349.0.0']),
% 205.53/205.98 [weight('<224,346,97,[1,0,0,1]>')]).
% 205.53/205.98 cnf('0.349.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,X3),X4)) = f(f(X4,f(X3,X2)),X1) ),
% 205.53/205.98 inference(activate,[status(thm)],['0.349.1.0']),
% 205.53/205.98 [equation_14]).
% 205.53/205.98 cnf('0.350.0.0',plain,
% 205.53/205.98 ( f(f(f(X1,X2),X3),X4) = f(X4,f(X3,f(X2,X1))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.346.2.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2','L')]).
% 205.53/205.98 cnf('0.350.1.0',plain,
% 205.53/205.98 ( f(f(f(X1,X2),X3),X4) = f(X4,f(X3,f(X2,X1))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.350.0.0']),
% 205.53/205.98 [weight('<224,346,97,[1,1,0,2]>')]).
% 205.53/205.98 cnf('0.350.2.0',plain,
% 205.53/205.98 ( f(f(f(X1,X2),X3),X4) = f(X4,f(X3,f(X2,X1))) ),
% 205.53/205.98 inference(activate,[status(thm)],['0.350.1.0']),
% 205.53/205.98 [equation_15]).
% 205.53/205.98 cnf('0.368.0.0',plain,
% 205.53/205.98 ( f(X1,f(f(f(X2,X3),f(X2,X3)),f(f(X2,X2),X4))) = f(X1,f(f(f(X2,X2),X4),f(f(X2,X3),X1))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.220.2.0','0.252.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2.1','L')]).
% 205.53/205.98 cnf('0.368.0.1',plain,
% 205.53/205.98 ( f(X1,f(X2,X3)) = f(X1,f(f(f(X2,X2),X4),f(f(X2,X3),X1))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.368.0.0','0.252.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.368.1.0',plain,
% 205.53/205.98 ( f(X1,f(X2,X3)) = f(X1,f(f(f(X2,X2),X4),f(f(X2,X3),X1))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.368.0.1']),
% 205.53/205.98 [weight('<265,252,220,[0,0,0,5]>')]).
% 205.53/205.98 cnf('0.368.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(f(X2,X2),X3),f(f(X2,X4),X1))) = f(X1,f(X2,X4)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.368.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_352]).
% 205.53/205.98 cnf('0.430.0.0',plain,
% 205.53/205.98 ( f(f(X1,X2),X3) = f(f(X1,X2),f(f(X3,X4),f(f(X2,X1),X3))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.216.2.0','0.343.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.430.1.0',plain,
% 205.53/205.98 ( f(f(X1,X2),X3) = f(f(X1,X2),f(f(X3,X4),f(f(X2,X1),X3))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.430.0.0']),
% 205.53/205.98 [weight('<265,343,216,[0,0,0,6]>')]).
% 205.53/205.98 cnf('0.430.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(f(X3,X4),f(f(X2,X1),X3))) = f(f(X1,X2),X3) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.430.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_410]).
% 205.53/205.98 cnf('0.492.0.0',plain,
% 205.53/205.98 ( f(f(X1,f(X1,X1)),f(X2,X3)) = f(f(X3,X2),f(X3,X2)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.343.2.0','0.129.2.0',theory(equality)]),
% 205.53/205.98 [pos('R','R')]).
% 205.53/205.98 cnf('0.492.1.0',plain,
% 205.53/205.98 ( f(f(X1,f(X1,X1)),f(X2,X3)) = f(f(X3,X2),f(X3,X2)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.492.0.0']),
% 205.53/205.98 [weight('<288,343,129,[1,1,1,0]>')]).
% 205.53/205.98 cnf('0.492.2.0',plain,
% 205.53/205.98 ( f(f(X1,f(X1,X1)),f(X2,X3)) = f(f(X3,X2),f(X3,X2)) ),
% 205.53/205.98 inference(activate,[status(thm)],['0.492.1.0']),
% 205.53/205.98 [equation_28]).
% 205.53/205.98 cnf('0.492.2.2',plain,
% 205.53/205.98 ( f(f(c,f(c,c)),f(X2,X1)) = f(f(X1,X2),f(X1,X2)) ),
% 205.53/205.98 inference(instl,[status(thm)],['0.492.2.0',theory(equality)])).
% 205.53/205.98 cnf('0.555.0.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X3,X4)) = f(f(X1,X2),f(X4,f(f(X2,X1),f(X3,X4)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.220.2.0','0.343.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.555.1.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X3,X4)) = f(f(X1,X2),f(X4,f(f(X2,X1),f(X3,X4)))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.555.0.0']),
% 205.53/205.98 [weight('<293,343,220,[0,0,0,4]>')]).
% 205.53/205.98 cnf('0.555.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X3,f(f(X2,X1),f(X4,X3)))) = f(f(X1,X2),f(X4,X3)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.555.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_516]).
% 205.53/205.98 cnf('0.556.0.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X3,X4)) = f(f(X1,X2),f(X3,f(f(X2,X1),f(X3,X4)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.221.2.0','0.343.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.556.1.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X3,X4)) = f(f(X1,X2),f(X3,f(f(X2,X1),f(X3,X4)))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.556.0.0']),
% 205.53/205.98 [weight('<293,343,221,[0,0,0,4]>')]).
% 205.53/205.98 cnf('0.556.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X3,f(f(X2,X1),f(X3,X4)))) = f(f(X1,X2),f(X3,X4)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.556.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_517]).
% 205.53/205.98 cnf('0.582.0.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(X1,f(X3,f(X3,f(f(X2,X2),X1)))))) = f(X1,X1) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.148.2.0','0.104.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.582.1.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(X1,f(X3,f(X3,f(f(X2,X2),X1)))))) = f(X1,X1) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.582.0.0']),
% 205.53/205.98 [weight('<303,148,104,[1,0,0,2]>')]).
% 205.53/205.98 cnf('0.582.2.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(X1,f(X3,f(X3,f(f(X2,X2),X1)))))) = f(X1,X1) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.582.1.0',theory(equality)]),
% 205.53/205.98 [u,rule_543]).
% 205.53/205.98 cnf('0.583.0.0',plain,
% 205.53/205.98 ( f(f(f(X1,X2),f(X3,f(X3,f(f(X1,X1),f(X1,X2))))),X1) = f(f(f(X1,X2),f(X3,f(X3,f(f(X1,X1),f(X1,X2))))),f(f(X1,X2),f(X1,X2))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.216.2.0','0.582.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.583.0.1',plain,
% 205.53/205.98 ( f(f(f(X1,X2),f(X3,f(X3,X1))),X1) = f(f(f(X1,X2),f(X3,f(X3,f(f(X1,X1),f(X1,X2))))),f(f(X1,X2),f(X1,X2))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.583.0.0','0.16.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1.2.2.2','L')]).
% 205.53/205.98 cnf('0.583.0.2',plain,
% 205.53/205.98 ( f(f(f(X1,X2),f(X3,f(X3,X1))),X1) = f(X1,X2) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.583.0.1','0.13.2.0',theory(equality)]),
% 205.53/205.98 [pos('R','L')]).
% 205.53/205.98 cnf('0.583.1.0',plain,
% 205.53/205.98 ( f(f(f(X1,X2),f(X3,f(X3,X1))),X1) = f(X1,X2) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.583.0.2']),
% 205.53/205.98 [weight('<179,582,216,[0,0,0,2]>')]).
% 205.53/205.98 cnf('0.583.1.1',plain,
% 205.53/205.98 ( f(X1,f(f(X3,f(X3,X1)),f(X2,X1))) = f(X1,X2) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.583.1.0','0.350.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','L')]).
% 205.53/205.98 cnf('0.583.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,f(X2,X1)),f(X3,X1))) = f(X1,X3) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.583.1.1',theory(equality)]),
% 205.53/205.98 [u,rule_544]).
% 205.53/205.98 cnf('0.589.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X3,f(X3,X1)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.583.2.0','0.343.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.589.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X1,X2),f(X3,f(X3,X1)))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.589.0.0']),
% 205.53/205.98 [weight('<179,583,343,[1,0,0,2]>')]).
% 205.53/205.98 cnf('0.589.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),f(X3,f(X3,X1)))) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.589.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_550]).
% 205.53/205.98 cnf('0.599.0.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(X3,f(X3,f(f(X1,X1),X2))))) = f(X1,f(X2,X2)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.219.2.0','0.582.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.599.1.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(X3,f(X3,f(f(X1,X1),X2))))) = f(X1,f(X2,X2)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.599.0.0']),
% 205.53/205.98 [weight('<265,582,219,[0,0,0,2]>')]).
% 205.53/205.98 cnf('0.599.2.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(X3,f(X3,f(f(X1,X1),X2))))) = f(X1,f(X2,X2)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.599.1.0',theory(equality)]),
% 205.53/205.98 [u,rule_560]).
% 205.53/205.98 cnf('0.665.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(f(f(X1,X2),f(X1,X2)),f(f(f(X3,f(X1,X2)),X1),X4)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.26.2.0','0.13.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1.2','L')]).
% 205.53/205.98 cnf('0.665.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(f(f(X1,X2),f(X1,X2)),f(f(f(X3,f(X1,X2)),X1),X4)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.665.0.0']),
% 205.53/205.98 [weight('<?,26,13,[1,0,0,9]>')]).
% 205.53/205.98 cnf('0.665.1.1',plain,
% 205.53/205.98 ( f(X1,X2) = f(f(f(X1,X2),f(X1,X2)),f(f(X1,f(f(X2,X1),X3)),X4)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.665.1.0','0.349.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.1','R')]).
% 205.53/205.98 cnf('0.665.2.0',plain,
% 205.53/205.98 ( f(f(f(X1,X2),f(X1,X2)),f(f(X1,f(f(X2,X1),X3)),X4)) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.665.1.1',theory(equality)]),
% 205.53/205.98 [x,rule_626]).
% 205.53/205.98 cnf('0.750.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(X3,X4),f(X1,f(X4,X3))))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.589.2.0','0.343.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2.2','R')]).
% 205.53/205.98 cnf('0.750.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(X1,X2),f(f(X3,X4),f(X1,f(X4,X3))))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.750.0.0']),
% 205.53/205.98 [weight('<303,589,343,[1,0,1,8]>')]).
% 205.53/205.98 cnf('0.750.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X1,X2),f(f(X3,X4),f(X1,f(X4,X3))))) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.750.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_710]).
% 205.53/205.98 cnf('0.911.0.0',plain,
% 205.53/205.98 ( f(f(X1,X1),f(f(f(X1,X2),X3),f(f(X1,X2),X3))) = f(f(X1,X1),f(f(f(X1,X2),X3),f(X3,f(X3,f(X1,X2))))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.599.2.0','0.368.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2.2','L')]).
% 205.53/205.98 cnf('0.911.0.1',plain,
% 205.53/205.98 ( f(f(X1,X1),f(f(f(X1,X2),X3),f(f(X1,X2),X3))) = f(f(X1,X1),X3) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.911.0.0','0.123.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2','L')]).
% 205.53/205.98 cnf('0.911.1.0',plain,
% 205.53/205.98 ( f(f(X1,X1),f(f(f(X1,X2),X3),f(f(X1,X2),X3))) = f(f(X1,X1),X3) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.911.0.1']),
% 205.53/205.98 [weight('<335,599,368,[1,0,0,6]>')]).
% 205.53/205.98 cnf('0.911.1.1',plain,
% 205.53/205.98 ( f(f(X1,X1),f(f(c,f(c,c)),f(X3,f(X1,X2)))) = f(f(X1,X1),X3) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.911.1.0','0.492.2.2',theory(equality)]),
% 205.53/205.98 [pos('L.2','R')]).
% 205.53/205.98 cnf('0.911.2.0',plain,
% 205.53/205.98 ( f(f(X1,X1),f(f(c,f(c,c)),f(X2,f(X1,X3)))) = f(f(X1,X1),X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.911.1.1',theory(equality)]),
% 205.53/205.98 [u,rule_852]).
% 205.53/205.98 cnf('0.995.0.0',plain,
% 205.53/205.98 ( f(f(f(X1,X1),f(X1,X1)),X2) = f(X1,f(f(c,f(c,c)),f(X2,f(f(X1,X1),X3)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.911.2.0','0.12.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.995.0.1',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(c,f(c,c)),f(X2,f(f(X1,X1),X3)))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.995.0.0','0.12.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.1','L')]).
% 205.53/205.98 cnf('0.995.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(c,f(c,c)),f(X2,f(f(X1,X1),X3)))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.995.0.1']),
% 205.53/205.98 [weight('<303,911,12,[1,0,0,1]>')]).
% 205.53/205.98 cnf('0.995.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(c,f(c,c)),f(X2,f(f(X1,X1),X3)))) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.995.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_924]).
% 205.53/205.98 cnf('0.1003.0.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(c,f(c,c)),f(f(f(X1,X1),X3),X2))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.995.2.0','0.97.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.1003.1.0',plain,
% 205.53/205.98 ( f(X1,X2) = f(X1,f(f(c,f(c,c)),f(f(f(X1,X1),X3),X2))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.1003.0.0']),
% 205.53/205.98 [weight('<303,995,97,[1,0,0,8]>')]).
% 205.53/205.98 cnf('0.1003.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(c,f(c,c)),f(f(f(X1,X1),X2),X3))) = f(X1,X3) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.1003.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_932]).
% 205.53/205.98 cnf('0.1018.0.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,X3),f(f(X4,f(X1,X1)),X2))) = f(X1,f(f(c,f(c,c)),f(f(f(X1,X1),X4),X2))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.1003.2.0','0.430.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.1018.0.1',plain,
% 205.53/205.98 ( f(X1,f(f(X2,X3),f(f(X4,f(X1,X1)),X2))) = f(X1,X2) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.1018.0.0','0.1003.2.0',theory(equality)]),
% 205.53/205.98 [pos('R','L')]).
% 205.53/205.98 cnf('0.1018.1.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,X3),f(f(X4,f(X1,X1)),X2))) = f(X1,X2) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.1018.0.1']),
% 205.53/205.98 [weight('<237,1003,430,[1,0,0,8]>')]).
% 205.53/205.98 cnf('0.1018.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,X3),f(f(X4,f(X1,X1)),X2))) = f(X1,X2) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.1018.1.0',theory(equality)]),
% 205.53/205.98 [u,rule_947]).
% 205.53/205.98 cnf('0.1027.0.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X3,f(X1,X1)),f(X4,X2)))) = f(X1,f(f(c,f(c,c)),f(f(f(X1,X1),X3),f(X4,X2)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.1003.2.0','0.555.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.1027.0.1',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X3,f(X1,X1)),f(X4,X2)))) = f(X1,f(X4,X2)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.1027.0.0','0.1003.2.0',theory(equality)]),
% 205.53/205.98 [pos('R','L')]).
% 205.53/205.98 cnf('0.1027.1.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X3,f(X1,X1)),f(X4,X2)))) = f(X1,f(X4,X2)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.1027.0.1']),
% 205.53/205.98 [weight('<265,1003,555,[1,0,0,8]>')]).
% 205.53/205.98 cnf('0.1027.2.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X3,f(X1,X1)),f(X4,X2)))) = f(X1,f(X4,X2)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.1027.1.0',theory(equality)]),
% 205.53/205.98 [u,rule_956]).
% 205.53/205.98 cnf('0.1028.0.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X3,f(X1,X1)),f(X2,X4)))) = f(X1,f(f(c,f(c,c)),f(f(f(X1,X1),X3),f(X2,X4)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.1003.2.0','0.556.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.1028.0.1',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X3,f(X1,X1)),f(X2,X4)))) = f(X1,f(X2,X4)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.1028.0.0','0.1003.2.0',theory(equality)]),
% 205.53/205.98 [pos('R','L')]).
% 205.53/205.98 cnf('0.1028.1.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X3,f(X1,X1)),f(X2,X4)))) = f(X1,f(X2,X4)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.1028.0.1']),
% 205.53/205.98 [weight('<265,1003,556,[1,0,0,8]>')]).
% 205.53/205.98 cnf('0.1028.2.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X3,f(X1,X1)),f(X2,X4)))) = f(X1,f(X2,X4)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.1028.1.0',theory(equality)]),
% 205.53/205.98 [u,rule_957]).
% 205.53/205.98 cnf('0.1090.0.0',plain,
% 205.53/205.98 ( f(X1,f(f(f(X1,X1),X2),f(X3,f(f(X1,X1),X2)))) = f(X1,f(f(c,f(c,c)),f(X3,f(f(X1,X1),X2)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.1003.2.0','0.122.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.1090.0.1',plain,
% 205.53/205.98 ( f(X1,f(f(f(X1,X1),X2),f(X3,f(f(X1,X1),X2)))) = f(X1,X3) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.1090.0.0','0.995.2.0',theory(equality)]),
% 205.53/205.98 [pos('R','L')]).
% 205.53/205.98 cnf('0.1090.1.0',plain,
% 205.53/205.98 ( f(X1,f(f(f(X1,X1),X2),f(X3,f(f(X1,X1),X2)))) = f(X1,X3) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.1090.0.1']),
% 205.53/205.98 [weight('<303,1003,122,[1,0,0,8]>')]).
% 205.53/205.98 cnf('0.1090.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(f(X1,X1),X2),f(X3,f(f(X1,X1),X2)))) = f(X1,X3) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.1090.1.0',theory(equality)]),
% 205.53/205.98 [u,rule_1019]).
% 205.53/205.98 cnf('0.1192.0.0',plain,
% 205.53/205.98 ( f(X1,f(X2,X2)) = f(X1,f(f(f(X1,X1),f(f(X3,X2),f(X4,X2))),X2)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.1090.2.0','0.37.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.1192.1.0',plain,
% 205.53/205.98 ( f(X1,f(X2,X2)) = f(X1,f(f(f(X1,X1),f(f(X3,X2),f(X4,X2))),X2)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.1192.0.0']),
% 205.53/205.98 [weight('<335,1090,37,[1,0,0,8]>')]).
% 205.53/205.98 cnf('0.1192.1.1',plain,
% 205.53/205.98 ( f(X1,f(X2,X2)) = f(X1,f(X2,f(f(f(X3,X2),f(X4,X2)),f(X1,X1)))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.1192.1.0','0.350.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2','L')]).
% 205.53/205.98 cnf('0.1192.2.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(f(X3,X2),f(X4,X2)),f(X1,X1)))) = f(X1,f(X2,X2)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.1192.1.1',theory(equality)]),
% 205.53/205.98 [x,rule_1117]).
% 205.53/205.98 cnf('0.2223.0.0',plain,
% 205.53/205.98 ( f(f(X1,f(f(X2,X1),X3)),f(X2,X2)) = f(f(X1,f(f(X2,X1),X3)),f(X2,f(X1,X2))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.1192.2.0','0.665.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.2223.1.0',plain,
% 205.53/205.98 ( f(f(X1,f(f(X2,X1),X3)),f(X2,X2)) = f(f(X1,f(f(X2,X1),X3)),f(X2,f(X1,X2))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.2223.0.0']),
% 205.53/205.98 [weight('<349,1192,665,[1,0,0,4]>')]).
% 205.53/205.98 cnf('0.2223.2.0',plain,
% 205.53/205.98 ( f(f(X1,f(f(X2,X1),X3)),f(X2,f(X1,X2))) = f(f(X1,f(f(X2,X1),X3)),f(X2,X2)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.2223.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_2142]).
% 205.53/205.98 cnf('0.2337.0.0',plain,
% 205.53/205.98 ( f(X1,f(f(f(X2,X2),X1),X3)) = f(X1,f(f(X1,f(f(f(X2,X2),X1),X3)),f(f(X2,X2),f(X2,X2)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.750.2.0','0.2223.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.2337.0.1',plain,
% 205.53/205.98 ( f(X1,f(f(f(X2,X2),X1),X3)) = f(X1,f(f(X1,f(f(f(X2,X2),X1),X3)),X2)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.2337.0.0','0.12.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.2','L')]).
% 205.53/205.98 cnf('0.2337.1.0',plain,
% 205.53/205.98 ( f(X1,f(f(f(X2,X2),X1),X3)) = f(X1,f(f(X1,f(f(f(X2,X2),X1),X3)),X2)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.2337.0.1']),
% 205.53/205.98 [weight('<321,2223,750,[0,0,0,2]>')]).
% 205.53/205.98 cnf('0.2337.1.1',plain,
% 205.53/205.98 ( f(X1,f(f(f(X2,X2),X1),X3)) = f(X1,f(X2,f(f(X3,f(f(X2,X2),X1)),X1))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.2337.1.0','0.349.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2','R')]).
% 205.53/205.98 cnf('0.2337.1.2',plain,
% 205.53/205.98 ( f(X1,f(f(f(X2,X2),X1),X3)) = f(X1,f(X2,f(X1,f(f(X1,f(X2,X2)),X3)))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.2337.1.1','0.349.2.0',theory(equality)]),
% 205.53/205.98 [pos('R.2.2','R')]).
% 205.53/205.98 cnf('0.2337.2.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(X1,f(f(X1,f(X2,X2)),X3)))) = f(X1,f(f(f(X2,X2),X1),X3)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.2337.1.2',theory(equality)]),
% 205.53/205.98 [x,rule_2249]).
% 205.53/205.98 cnf('0.2346.0.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(f(f(X3,X3),f(X1,X2)),X1)) = f(f(X1,X2),f(X3,X1)) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.2337.2.0','0.1018.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.2346.1.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(f(f(X3,X3),f(X1,X2)),X1)) = f(f(X1,X2),f(X3,X1)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.2346.0.0']),
% 205.53/205.98 [weight('<293,2337,1018,[1,0,0,2]>')]).
% 205.53/205.98 cnf('0.2346.1.1',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X1,f(f(X1,X2),f(X3,X3)))) = f(f(X1,X2),f(X3,X1)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.2346.1.0','0.350.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.2346.2.0',plain,
% 205.53/205.98 ( f(f(X1,X2),f(X1,f(f(X1,X2),f(X3,X3)))) = f(f(X1,X2),f(X3,X1)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.2346.1.1',theory(equality)]),
% 205.53/205.98 [u,rule_2258]).
% 205.53/205.98 cnf('0.2347.0.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X2,f(X1,X1)),f(X3,X3)))) = f(X1,f(X2,f(f(X2,f(X1,X1)),f(X3,X2)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.1028.2.0','0.2346.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','L')]).
% 205.53/205.98 cnf('0.2347.0.1',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X2,f(X1,X1)),f(X3,X3)))) = f(X1,f(X3,X2)) ),
% 205.53/205.98 inference(reduction,[status(thm)],['0.2347.0.0','0.1027.2.0',theory(equality)]),
% 205.53/205.98 [pos('R','L')]).
% 205.53/205.98 cnf('0.2347.1.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X2,f(X1,X1)),f(X3,X3)))) = f(X1,f(X3,X2)) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.2347.0.1']),
% 205.53/205.98 [weight('<265,2346,1028,[0,0,0,4]>')]).
% 205.53/205.98 cnf('0.2347.2.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X2,f(X1,X1)),f(X3,X3)))) = f(X1,f(X3,X2)) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.2347.1.0',theory(equality)]),
% 205.53/205.98 [u,rule_2259]).
% 205.53/205.98 cnf('0.2349.0.0',plain,
% 205.53/205.98 ( f(X1,f(f(f(X2,X2),X1),f(X3,X3))) = f(X1,f(X2,f(X3,X1))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.2337.2.0','0.2347.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','L')]).
% 205.53/205.98 cnf('0.2349.1.0',plain,
% 205.53/205.98 ( f(X1,f(f(f(X2,X2),X1),f(X3,X3))) = f(X1,f(X2,f(X3,X1))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.2349.0.0']),
% 205.53/205.98 [weight('<227,2347,2337,[0,0,0,2]>')]).
% 205.53/205.98 cnf('0.2349.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(f(X2,X2),X1),f(X3,X3))) = f(X1,f(X2,f(X3,X1))) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.2349.1.0',theory(equality)]),
% 205.53/205.98 [u,rule_2261]).
% 205.53/205.98 cnf('0.2352.0.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(X3,X1))) = f(X1,f(f(X3,X3),f(X1,f(X2,X2)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.2349.2.0','0.343.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2','R')]).
% 205.53/205.98 cnf('0.2352.1.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(X3,X1))) = f(X1,f(f(X3,X3),f(X1,f(X2,X2)))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.2352.0.0']),
% 205.53/205.98 [weight('<227,2349,343,[1,0,1,2]>')]).
% 205.53/205.98 cnf('0.2352.2.0',plain,
% 205.53/205.98 ( f(X1,f(f(X2,X2),f(X1,f(X3,X3)))) = f(X1,f(X3,f(X2,X1))) ),
% 205.53/205.98 inference(orient,[status(thm)],['0.2352.1.0',theory(equality)]),
% 205.53/205.98 [x,rule_2264]).
% 205.53/205.98 cnf('0.2784.0.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X3,X3),X1))) = f(X1,f(X3,f(X1,f(X2,X2)))) ),
% 205.53/205.98 inference(cp,[status(thm)],['0.2352.2.0','0.12.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.1','L')]).
% 205.53/205.98 cnf('0.2784.1.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X3,X3),X1))) = f(X1,f(X3,f(X1,f(X2,X2)))) ),
% 205.53/205.98 inference(weigh,[status(thm)],['0.2784.0.0']),
% 205.53/205.98 [weight('<360,2352,12,[1,0,0,3]>')]).
% 205.53/205.98 cnf('0.2784.2.0',plain,
% 205.53/205.98 ( f(X1,f(X2,f(f(X3,X3),X1))) = f(X1,f(X3,f(X1,f(X2,X2)))) ),
% 205.53/205.98 inference(activate,[status(thm)],['0.2784.1.0']),
% 205.53/205.98 [equation_238]).
% 205.53/205.98 cnf('1.0.0.0',conjecture,
% 205.53/205.98 ( f(a,f(b,f(a,f(c,c)))) = f(a,f(c,f(a,f(b,b)))) ),
% 205.53/205.98 file('/tmp/WALDMEISTER_2373_n023',conjecture_1)).
% 205.53/205.98 cnf('1.0.0.1',plain,
% 205.53/205.98 ( f(a,f(c,f(f(b,b),a))) = f(a,f(c,f(a,f(b,b)))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['1.0.0.0','0.2784.2.0',theory(equality)]),
% 205.53/205.98 [pos('L','R')]).
% 205.53/205.98 cnf('1.0.0.2',plain,
% 205.53/205.98 ( f(a,f(c,f(a,f(b,b)))) = f(a,f(c,f(a,f(b,b)))) ),
% 205.53/205.98 inference(reduction,[status(thm)],['1.0.0.1','0.343.2.0',theory(equality)]),
% 205.53/205.98 [pos('L.2.2','R')]).
% 205.53/205.98 cnf('1.0.0.3',plain,
% 205.53/205.98 ( $true ),
% 205.53/205.98 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 205.53/205.98 [conjecture_1]).
% 205.53/205.98
% 205.53/205.98 Proved Goals:
% 205.53/205.98 No. 1: f(a,f(b,f(a,f(c,c)))) ?= f(a,f(c,f(a,f(b,b)))) joined, current: f(a,f(c,f(a,f(b,b)))) = f(a,f(c,f(a,f(b,b))))
% 205.53/205.99 1 goal was specified, which was proved.
% 205.53/205.99 % SZS output end CNFRefutation
% 205.53/205.99 #END OF PROOF
% 205.53/205.99
% 205.53/205.99 Problem WALDMEISTER_2373_n023
% 205.53/205.99 CPs.gen 28396374
% 205.53/205.99 CPs.reexp 0
% 205.53/205.99 Select 2063443
% 205.53/205.99 R 2546
% 205.53/205.99 E 238
% 205.53/205.99 vsize 11.7M
% 205.53/205.99 rss 10.2M
% 205.53/205.99 process.time 205.140s
% 205.53/205.99 wallclock.time 205.166s
% 205.53/205.99 status S
% 205.53/205.99
% 205.53/205.99
% 205.53/205.99 Waldmeister states: Goal proved.
% 205.53/205.99 % SZS status Unsatisfiable
%------------------------------------------------------------------------------