TSTP Solution File: LCL038-10 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LCL038-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n029.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 16:03:07 EDT 2022
% Result : Unsatisfiable 11.46s 11.86s
% Output : CNFRefutation 11.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL038-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 3 09:13:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.98 * |/ | \/ | *
% 0.57/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.98 * A. Jaeger and B. Loechner | | *
% 0.57/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.57/0.98
% 0.57/0.98 Goals:
% 0.57/0.98 ------
% 0.57/0.98
% 0.57/0.98 ( 1) true ?=? is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))
% 0.57/0.98
% 0.57/0.98 Detected structure: Orkus
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 11.46/11.86 joined goal: 1 true ?= is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) to true
% 11.46/11.86 goal joined
% 11.46/11.86 % SZS status Unsatisfiable
% 11.46/11.86 #START OF PROOF
% 11.46/11.86 % SZS output start CNFRefutation
% 11.46/11.86 cnf('0.1.0.0',axiom,
% 11.46/11.86 ( X1 = ifeq(X2,X2,X1,X3) ),
% 11.46/11.86 file('/tmp/WALDMEISTER_12097_n029')).
% 11.46/11.86 cnf('0.1.1.0',plain,
% 11.46/11.86 ( X1 = ifeq(X2,X2,X1,X3) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.1.0.0']),
% 11.46/11.86 [weight('<0,0,0,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.1.2.0',plain,
% 11.46/11.86 ( ifeq(X1,X1,X2,X3) = X2 ),
% 11.46/11.86 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_1]).
% 11.46/11.86 cnf('0.2.0.0',axiom,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))) ),
% 11.46/11.86 file('/tmp/WALDMEISTER_12097_n029')).
% 11.46/11.86 cnf('0.2.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2.0.0']),
% 11.46/11.86 [weight('<1,0,0,[0,0,0,2]>')]).
% 11.46/11.86 cnf('0.2.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2]).
% 11.46/11.86 cnf('0.3.0.0',axiom,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true) ),
% 11.46/11.86 file('/tmp/WALDMEISTER_12097_n029')).
% 11.46/11.86 cnf('0.3.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.3.0.0']),
% 11.46/11.86 [weight('<2,0,0,[0,0,0,3]>')]).
% 11.46/11.86 cnf('0.3.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_3]).
% 11.46/11.86 cnf('0.4.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(implies(X3,X1),implies(X4,X1))),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(implies(X3,X1),implies(X4,X1))),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(implies(X3,X1),implies(X4,X1))),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4.0.1']),
% 11.46/11.86 [weight('<341,3,2,[1,0,0,1]>')]).
% 11.46/11.86 cnf('0.4.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(implies(X3,X1),implies(X4,X1))),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4]).
% 11.46/11.86 cnf('0.6.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.6.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.6.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.6.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.6.0.1']),
% 11.46/11.86 [weight('<379,4,2,[1,0,0,1]>')]).
% 11.46/11.86 cnf('0.6.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_6]).
% 11.46/11.86 cnf('0.8.0.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1))),X5)),true,ifeq(true,true,is_a_theorem(X5),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.3.1','L')]).
% 11.46/11.86 cnf('0.8.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1))),X5)),true,is_a_theorem(X5),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.8.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R.3','L')]).
% 11.46/11.86 cnf('0.8.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1))),X5)),true,is_a_theorem(X5),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.8.0.1']),
% 11.46/11.86 [weight('<505,3,2,[1,0,0,7]>')]).
% 11.46/11.86 cnf('0.8.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1))),X5)),true,is_a_theorem(X5),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_8]).
% 11.46/11.86 cnf('0.9.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4))),true,is_a_theorem(implies(X5,implies(X2,X4))),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.6.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.9.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4))),true,is_a_theorem(implies(X5,implies(X2,X4))),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.9.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.9.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4))),true,is_a_theorem(implies(X5,implies(X2,X4))),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.9.0.1']),
% 11.46/11.86 [weight('<505,6,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.9.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4))),true,is_a_theorem(implies(X5,implies(X2,X4))),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_9]).
% 11.46/11.86 cnf('0.10.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(X2,X3))))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.9.2.0','0.6.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.10.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(X2,X3))))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.10.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.10.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(X2,X3))))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.10.0.1']),
% 11.46/11.86 [weight('<181,9,6,[1,0,0,1]>')]).
% 11.46/11.86 cnf('0.10.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(X2,X3))))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_10]).
% 11.46/11.86 cnf('0.16.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X2,implies(X1,X2))),X3),implies(X4,X3))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.10.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.16.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X2,implies(X1,X2))),X3),implies(X4,X3))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.16.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.16.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X2,implies(X1,X2))),X3),implies(X4,X3))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.16.0.1']),
% 11.46/11.86 [weight('<305,10,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.16.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X2,implies(X1,X2))),X3),implies(X4,X3))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_16]).
% 11.46/11.86 cnf('0.17.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X2)),X3),implies(X4,X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.8.2.0','0.16.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.17.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X2)),X3),implies(X4,X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.17.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.17.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X2)),X3),implies(X4,X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.17.0.1']),
% 11.46/11.86 [weight('<239,16,8,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.17.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X2)),X3),implies(X4,X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_17]).
% 11.46/11.86 cnf('0.72.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(X1,implies(X2,X1)),X2),implies(X3,X2)),X4),implies(X5,X4))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.17.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.72.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,implies(X2,X1)),X2),implies(X3,X2)),X4),implies(X5,X4))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.72.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.72.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,implies(X2,X1)),X2),implies(X3,X2)),X4),implies(X5,X4))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.72.0.1']),
% 11.46/11.86 [weight('<379,17,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.72.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(implies(X1,implies(X2,X1)),X2),implies(X3,X2)),X4),implies(X5,X4))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_72]).
% 11.46/11.86 cnf('0.73.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X2,X3))))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.9.2.0','0.72.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.73.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X2,X3))))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.73.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.73.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X2,X3))))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.73.0.1']),
% 11.46/11.86 [weight('<181,72,9,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.73.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X2,X3))))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_73]).
% 11.46/11.86 cnf('0.74.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X2)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.8.2.0','0.73.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.74.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X2)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.74.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.74.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X2)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.74.0.1']),
% 11.46/11.86 [weight('<131,73,8,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.74.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X2)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_74]).
% 11.46/11.86 cnf('0.75.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.74.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.75.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.75.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.75.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.75.0.1']),
% 11.46/11.86 [weight('<181,74,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.75.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_75]).
% 11.46/11.86 cnf('0.96.0.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,implies(X1,X2))),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.74.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.3.1','L')]).
% 11.46/11.86 cnf('0.96.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,implies(X1,X2))),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.96.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R.3','L')]).
% 11.46/11.86 cnf('0.96.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,implies(X1,X2))),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.96.0.1']),
% 11.46/11.86 [weight('<341,74,3,[0,0,0,7]>')]).
% 11.46/11.86 cnf('0.96.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,implies(X1,X2))),X4)),true,is_a_theorem(X4),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_96]).
% 11.46/11.86 cnf('0.103.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),implies(X3,implies(X2,X4))),implies(X5,implies(X3,implies(X2,X4))))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.75.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.103.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(X3,implies(X2,X4))),implies(X5,implies(X3,implies(X2,X4))))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.103.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.103.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(X3,implies(X2,X4))),implies(X5,implies(X3,implies(X2,X4))))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.103.0.1']),
% 11.46/11.86 [weight('<379,75,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.103.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X2),implies(X3,implies(X2,X4))),implies(X5,implies(X3,implies(X2,X4))))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_103]).
% 11.46/11.86 cnf('0.104.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.96.2.0','0.103.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.104.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.104.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.104.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.104.0.1']),
% 11.46/11.86 [weight('<89,103,96,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.104.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_104]).
% 11.46/11.86 cnf('0.106.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.8.2.0','0.104.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.106.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(X2,X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.106.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.106.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(X2,X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.106.0.1']),
% 11.46/11.86 [weight('<55,104,8,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.106.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(X2,X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_106]).
% 11.46/11.86 cnf('0.107.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,X1)),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.8.2.0','0.106.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.107.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,X1)) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.107.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.107.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,X1)) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.107.0.1']),
% 11.46/11.86 [weight('<29,106,8,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.107.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,X1)) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_107]).
% 11.46/11.86 cnf('0.110.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.106.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.110.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.110.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.110.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.110.0.1']),
% 11.46/11.86 [weight('<131,106,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.110.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_110]).
% 11.46/11.86 cnf('0.114.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.107.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.114.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.114.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.114.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.114.0.1']),
% 11.46/11.86 [weight('<131,107,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.114.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_114]).
% 11.46/11.86 cnf('0.128.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.114.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.128.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.128.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.128.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.128.0.1']),
% 11.46/11.86 [weight('<239,114,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.128.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.128.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_128]).
% 11.46/11.86 cnf('0.145.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,X2)),implies(X5,implies(X4,X2)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.128.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.145.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,X2)),implies(X5,implies(X4,X2)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.145.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.145.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,X2)),implies(X5,implies(X4,X2)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.145.0.1']),
% 11.46/11.86 [weight('<305,128,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.145.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,X2)),implies(X5,implies(X4,X2)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.145.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_145]).
% 11.46/11.86 cnf('0.146.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),X4),X3),implies(X2,X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.8.2.0','0.145.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.146.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),X4),X3),implies(X2,X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.146.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.146.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),X4),X3),implies(X2,X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.146.0.1']),
% 11.46/11.86 [weight('<239,145,8,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.146.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),X4),X3),implies(X2,X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.146.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_146]).
% 11.46/11.86 cnf('0.147.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.8.2.0','0.146.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.147.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.147.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.147.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.147.0.1']),
% 11.46/11.86 [weight('<181,146,8,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.147.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_147]).
% 11.46/11.86 cnf('0.148.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),X2)),true,is_a_theorem(implies(X1,X2)),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.147.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.148.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),X2)),true,is_a_theorem(implies(X1,X2)),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.148.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.148.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),X2)),true,is_a_theorem(implies(X1,X2)),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.148.0.1']),
% 11.46/11.86 [weight('<271,147,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.148.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),X2)),true,is_a_theorem(implies(X1,X2)),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.148.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_148]).
% 11.46/11.86 cnf('0.160.0.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,X1),X2),implies(X3,X2)),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.110.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.3.1','L')]).
% 11.46/11.86 cnf('0.160.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,X1),X2),implies(X3,X2)),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.160.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R.3','L')]).
% 11.46/11.86 cnf('0.160.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,X1),X2),implies(X3,X2)),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.160.0.1']),
% 11.46/11.86 [weight('<341,110,3,[0,0,0,7]>')]).
% 11.46/11.86 cnf('0.160.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(implies(X1,X1),X2),implies(X3,X2)),X4)),true,is_a_theorem(X4),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_160]).
% 11.46/11.86 cnf('0.161.0.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.114.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.3.1','L')]).
% 11.46/11.86 cnf('0.161.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.161.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R.3','L')]).
% 11.46/11.86 cnf('0.161.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.161.0.1']),
% 11.46/11.86 [weight('<341,114,3,[0,0,0,7]>')]).
% 11.46/11.86 cnf('0.161.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4)),true,is_a_theorem(X4),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.161.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_161]).
% 11.46/11.86 cnf('0.190.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X2),X3)),implies(X4,implies(implies(X1,X2),X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.147.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.190.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X2),X3)),implies(X4,implies(implies(X1,X2),X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.190.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.190.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X2),X3)),implies(X4,implies(implies(X1,X2),X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.190.0.1']),
% 11.46/11.86 [weight('<379,147,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.190.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X2),X3)),implies(X4,implies(implies(X1,X2),X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.190.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_190]).
% 11.46/11.86 cnf('0.193.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.161.2.0','0.190.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.193.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.193.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.193.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.193.0.1']),
% 11.46/11.86 [weight('<131,190,161,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.193.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.193.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_193]).
% 11.46/11.86 cnf('0.194.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X1),X1)),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.8.2.0','0.193.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.194.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.194.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.194.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.194.0.1']),
% 11.46/11.86 [weight('<89,193,8,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.194.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.194.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_194]).
% 11.46/11.86 cnf('0.198.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.194.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.198.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.198.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.198.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.198.0.1']),
% 11.46/11.86 [weight('<181,194,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.198.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.198.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_198]).
% 11.46/11.86 cnf('0.207.0.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)),X5)),true,ifeq(true,true,is_a_theorem(X5),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.75.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.3.1','L')]).
% 11.46/11.86 cnf('0.207.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)),X5)),true,is_a_theorem(X5),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.207.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R.3','L')]).
% 11.46/11.86 cnf('0.207.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)),X5)),true,is_a_theorem(X5),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.207.0.1']),
% 11.46/11.86 [weight('<?,75,3,[0,0,0,7]>')]).
% 11.46/11.86 cnf('0.207.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)),X5)),true,is_a_theorem(X5),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.207.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_207]).
% 11.46/11.86 cnf('0.208.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X4)),X3),X3))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.207.2.0','0.198.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.208.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X4)),X3),X3))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.208.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.208.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X4)),X3),X3))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.208.0.1']),
% 11.46/11.86 [weight('<181,207,198,[1,0,0,1]>')]).
% 11.46/11.86 cnf('0.208.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X4)),X3),X3))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.208.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_208]).
% 11.46/11.86 cnf('0.209.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),X2)),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.8.2.0','0.208.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.209.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),X2)) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.209.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.209.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),X2)) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.209.0.1']),
% 11.46/11.86 [weight('<131,208,8,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.209.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),X2)) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.209.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_209]).
% 11.46/11.86 cnf('0.214.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X3,implies(X1,X2))),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.198.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.214.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X3,implies(X1,X2))),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.214.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.214.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X3,implies(X1,X2))),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.214.0.1']),
% 11.46/11.86 [weight('<271,198,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.214.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X3,implies(X1,X2))),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.214.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_214]).
% 11.46/11.86 cnf('0.219.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.214.2.0','0.198.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.219.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.219.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.219.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.219.0.1']),
% 11.46/11.86 [weight('<181,214,198,[1,0,0,1]>')]).
% 11.46/11.86 cnf('0.219.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.219.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_219]).
% 11.46/11.86 cnf('0.220.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.8.2.0','0.219.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.220.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.220.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.220.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.220.0.1']),
% 11.46/11.86 [weight('<131,219,8,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.220.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.220.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_220]).
% 11.46/11.86 cnf('0.221.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X1,X2)),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.220.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.221.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X1,X2)),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.221.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.221.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X1,X2)),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.221.0.1']),
% 11.46/11.86 [weight('<209,220,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.221.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X1,X2)),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.221.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_221]).
% 11.46/11.86 cnf('0.223.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X2,X3))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.221.2.0','0.128.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.223.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X2,X3))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.223.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.223.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X2,X3))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.223.0.1']),
% 11.46/11.86 [weight('<181,221,128,[1,0,0,1]>')]).
% 11.46/11.86 cnf('0.223.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X2,X3))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.223.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_223]).
% 11.46/11.86 cnf('0.241.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X4,implies(X3,X1)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.223.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.241.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X4,implies(X3,X1)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.241.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.241.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X4,implies(X3,X1)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.241.0.1']),
% 11.46/11.86 [weight('<239,223,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.241.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X4,implies(X3,X1)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.241.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_241]).
% 11.46/11.86 cnf('0.242.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.148.2.0','0.241.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.242.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.242.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.242.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.242.0.1']),
% 11.46/11.86 [weight('<89,241,148,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.242.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.242.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_242]).
% 11.46/11.86 cnf('0.248.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),implies(X5,X3))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.242.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.248.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),implies(X5,X3))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.248.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.248.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),implies(X5,X3))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.248.0.1']),
% 11.46/11.86 [weight('<239,242,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.248.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),implies(X5,X3))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.248.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_248]).
% 11.46/11.86 cnf('0.249.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),X3)),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.221.2.0','0.248.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.249.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),X3)) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.249.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.249.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),X3)) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.249.0.1']),
% 11.46/11.86 [weight('<181,248,221,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.249.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),X3)) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.249.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_249]).
% 11.46/11.86 cnf('0.260.0.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X1))),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.242.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.3.1','L')]).
% 11.46/11.86 cnf('0.260.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X1))),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.260.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R.3','L')]).
% 11.46/11.86 cnf('0.260.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X1))),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.260.0.1']),
% 11.46/11.86 [weight('<271,242,3,[0,0,0,7]>')]).
% 11.46/11.86 cnf('0.260.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X1))),X4)),true,is_a_theorem(X4),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.260.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_260]).
% 11.46/11.86 cnf('0.275.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X4,implies(X2,implies(X1,X3))))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.209.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.275.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X4,implies(X2,implies(X1,X3))))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.275.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.275.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X4,implies(X2,implies(X1,X3))))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.275.0.1']),
% 11.46/11.86 [weight('<305,209,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.275.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X4,implies(X2,implies(X1,X3))))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.275.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_275]).
% 11.46/11.86 cnf('0.276.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(implies(X3,X4),X2),X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.8.2.0','0.275.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.276.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(implies(X3,X4),X2),X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.276.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.276.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(implies(X3,X4),X2),X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.276.0.1']),
% 11.46/11.86 [weight('<239,275,8,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.276.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(implies(X3,X4),X2),X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.276.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_276]).
% 11.46/11.86 cnf('0.277.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X2,X3),X1),X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.8.2.0','0.276.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.277.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X2,X3),X1),X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.277.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.277.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X2,X3),X1),X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.277.0.1']),
% 11.46/11.86 [weight('<181,276,8,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.277.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X2,X3),X1),X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.277.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_277]).
% 11.46/11.86 cnf('0.280.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.221.2.0','0.275.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.280.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.280.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.280.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.280.0.1']),
% 11.46/11.86 [weight('<239,275,221,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.280.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.280.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_280]).
% 11.46/11.86 cnf('0.286.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X2,X3),X1),X2)),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.277.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.286.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X2,X3),X1),X2)),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.286.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.286.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X2,X3),X1),X2)),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.286.0.1']),
% 11.46/11.86 [weight('<271,277,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.286.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X2,X3),X1),X2)),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.286.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_286]).
% 11.46/11.86 cnf('0.346.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X4,X4),X2)),implies(X1,X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.160.2.0','0.277.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.346.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X4,X4),X2)),implies(X1,X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.346.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.346.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X4,X4),X2)),implies(X1,X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.346.0.1']),
% 11.46/11.86 [weight('<305,277,160,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.346.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X4,X4),X2)),implies(X1,X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.346.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_346]).
% 11.46/11.86 cnf('0.347.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2)),implies(X1,X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.161.2.0','0.277.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.347.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2)),implies(X1,X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.347.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.347.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2)),implies(X1,X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.347.0.1']),
% 11.46/11.86 [weight('<305,277,161,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.347.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2)),implies(X1,X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.347.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_347]).
% 11.46/11.86 cnf('0.348.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X4),X3),implies(X1,implies(X2,X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.260.2.0','0.277.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.348.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X4),X3),implies(X1,implies(X2,X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.348.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.348.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X4),X3),implies(X1,implies(X2,X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.348.0.1']),
% 11.46/11.86 [weight('<305,277,260,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.348.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X4),X3),implies(X1,implies(X2,X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.348.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_348]).
% 11.46/11.86 cnf('0.395.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(X1,implies(X2,implies(X1,X3)))),true,is_a_theorem(implies(X2,implies(X1,X3))),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.280.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.395.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,implies(X2,implies(X1,X3)))),true,is_a_theorem(implies(X2,implies(X1,X3))),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.395.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.395.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,implies(X2,implies(X1,X3)))),true,is_a_theorem(implies(X2,implies(X1,X3))),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.395.0.1']),
% 11.46/11.86 [weight('<341,280,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.395.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(X1,implies(X2,implies(X1,X3)))),true,is_a_theorem(implies(X2,implies(X1,X3))),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.395.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_395]).
% 11.46/11.86 cnf('0.623.0.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.198.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.3.1','L')]).
% 11.46/11.86 cnf('0.623.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.623.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R.3','L')]).
% 11.46/11.86 cnf('0.623.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.623.0.1']),
% 11.46/11.86 [weight('<419,198,3,[0,0,0,7]>')]).
% 11.46/11.86 cnf('0.623.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))),X4)),true,is_a_theorem(X4),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.623.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_623]).
% 11.46/11.86 cnf('0.641.0.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(implies(implies(X2,X3),X1),X2)),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.277.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.3.1','L')]).
% 11.46/11.86 cnf('0.641.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(implies(implies(X2,X3),X1),X2)),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.641.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R.3','L')]).
% 11.46/11.86 cnf('0.641.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(implies(implies(X2,X3),X1),X2)),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.641.0.1']),
% 11.46/11.86 [weight('<419,277,3,[0,0,0,7]>')]).
% 11.46/11.86 cnf('0.641.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(implies(implies(X2,X3),X1),X2)),X4)),true,is_a_theorem(X4),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.641.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_641]).
% 11.46/11.86 cnf('0.653.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X4,X4),X2))),true,is_a_theorem(implies(X1,X2)),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.346.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.653.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X4,X4),X2))),true,is_a_theorem(implies(X1,X2)),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.653.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.653.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X4,X4),X2))),true,is_a_theorem(implies(X1,X2)),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.653.0.1']),
% 11.46/11.86 [weight('<419,346,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.653.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X4,X4),X2))),true,is_a_theorem(implies(X1,X2)),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.653.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_653]).
% 11.46/11.86 cnf('0.654.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2))),true,is_a_theorem(implies(X1,X2)),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.347.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.654.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2))),true,is_a_theorem(implies(X1,X2)),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.654.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.654.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2))),true,is_a_theorem(implies(X1,X2)),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.654.0.1']),
% 11.46/11.86 [weight('<419,347,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.654.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2))),true,is_a_theorem(implies(X1,X2)),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.654.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_654]).
% 11.46/11.86 cnf('0.655.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),X3)),true,is_a_theorem(implies(X1,implies(X2,X3))),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.348.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.655.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),X3)),true,is_a_theorem(implies(X1,implies(X2,X3))),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.655.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.655.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),X3)),true,is_a_theorem(implies(X1,implies(X2,X3))),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.655.0.1']),
% 11.46/11.86 [weight('<419,348,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.655.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),X3)),true,is_a_theorem(implies(X1,implies(X2,X3))),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.655.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_655]).
% 11.46/11.86 cnf('0.677.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,implies(X3,X5))),implies(X6,implies(X4,implies(X3,X5))))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.145.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.677.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,implies(X3,X5))),implies(X6,implies(X4,implies(X3,X5))))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.677.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.677.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,implies(X3,X5))),implies(X6,implies(X4,implies(X3,X5))))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.677.0.1']),
% 11.46/11.86 [weight('<461,145,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.677.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,implies(X3,X5))),implies(X6,implies(X4,implies(X3,X5))))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.677.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_677]).
% 11.46/11.86 cnf('0.678.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.8.2.0','0.677.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.678.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.678.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.678.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.678.0.1']),
% 11.46/11.86 [weight('<181,677,8,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.678.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.678.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_678]).
% 11.46/11.86 cnf('0.679.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.8.2.0','0.678.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.679.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.679.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.679.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.679.0.1']),
% 11.46/11.86 [weight('<131,678,8,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.679.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.679.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_679]).
% 11.46/11.86 cnf('0.680.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.8.2.0','0.679.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.680.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.680.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.680.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.680.0.1']),
% 11.46/11.86 [weight('<131,679,8,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.680.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.680.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_680]).
% 11.46/11.86 cnf('0.682.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(X2,X3)),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.679.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.682.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(X2,X3)),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.682.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.682.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(X2,X3)),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.682.0.1']),
% 11.46/11.86 [weight('<209,679,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.682.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(X2,X3)),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.682.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_682]).
% 11.46/11.86 cnf('0.697.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X4,X1),X2)),implies(X1,X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.286.2.0','0.679.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.697.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X4,X1),X2)),implies(X1,X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.697.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.697.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X4,X1),X2)),implies(X1,X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.697.0.1']),
% 11.46/11.86 [weight('<305,679,286,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.697.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X4,X1),X2)),implies(X1,X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.697.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_697]).
% 11.46/11.86 cnf('0.698.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),implies(X5,X1))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.680.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.698.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),implies(X5,X1))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.698.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.698.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),implies(X5,X1))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.698.0.1']),
% 11.46/11.86 [weight('<305,680,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.698.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),implies(X5,X1))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.698.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_698]).
% 11.46/11.86 cnf('0.699.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),X1)),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.221.2.0','0.698.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.699.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),X1)) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.699.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.699.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),X1)) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.699.0.1']),
% 11.46/11.86 [weight('<239,698,221,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.699.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),X1)) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.699.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_699]).
% 11.46/11.86 cnf('0.726.0.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.680.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.3.1','L')]).
% 11.46/11.86 cnf('0.726.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.726.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R.3','L')]).
% 11.46/11.86 cnf('0.726.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.726.0.1']),
% 11.46/11.86 [weight('<341,680,3,[0,0,0,7]>')]).
% 11.46/11.86 cnf('0.726.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4)),true,is_a_theorem(X4),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.726.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_726]).
% 11.46/11.86 cnf('0.758.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4),X2),implies(X1,X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.654.2.0','0.699.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.758.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4),X2),implies(X1,X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.758.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.758.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4),X2),implies(X1,X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.758.0.1']),
% 11.46/11.86 [weight('<379,699,654,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.758.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4),X2),implies(X1,X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.758.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_758]).
% 11.46/11.86 cnf('0.759.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(X1,X1),X2),X3),implies(implies(X1,X1),X2)),X2)),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.653.2.0','0.758.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.759.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X1),X2),X3),implies(implies(X1,X1),X2)),X2)) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.759.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.759.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X1),X2),X3),implies(implies(X1,X1),X2)),X2)) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.759.0.1']),
% 11.46/11.86 [weight('<305,758,653,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.759.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(implies(X1,X1),X2),X3),implies(implies(X1,X1),X2)),X2)) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.759.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_759]).
% 11.46/11.86 cnf('0.760.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X3),implies(implies(X1,X2),X1)),X1)),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.654.2.0','0.758.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.760.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X3),implies(implies(X1,X2),X1)),X1)) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.760.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.760.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X3),implies(implies(X1,X2),X1)),X1)) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.760.0.1']),
% 11.46/11.86 [weight('<305,758,654,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.760.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X3),implies(implies(X1,X2),X1)),X1)) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.760.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_760]).
% 11.46/11.86 cnf('0.792.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X4,X1),X2))),true,is_a_theorem(implies(X1,X2)),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.697.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.792.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X4,X1),X2))),true,is_a_theorem(implies(X1,X2)),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.792.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.792.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X4,X1),X2))),true,is_a_theorem(implies(X1,X2)),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.792.0.1']),
% 11.46/11.86 [weight('<419,697,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.792.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X4,X1),X2))),true,is_a_theorem(implies(X1,X2)),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.792.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_792]).
% 11.46/11.86 cnf('0.854.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X5,implies(X2,implies(X3,implies(X1,X4)))))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.249.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.854.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X5,implies(X2,implies(X3,implies(X1,X4)))))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.854.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.854.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X5,implies(X2,implies(X3,implies(X1,X4)))))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.854.0.1']),
% 11.46/11.86 [weight('<461,249,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.854.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X5,implies(X2,implies(X3,implies(X1,X4)))))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.854.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_854]).
% 11.46/11.86 cnf('0.855.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X2,implies(X3,implies(X1,X4))))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.221.2.0','0.854.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.855.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X2,implies(X3,implies(X1,X4))))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.855.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.855.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X2,implies(X3,implies(X1,X4))))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.855.0.1']),
% 11.46/11.86 [weight('<379,854,221,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.855.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X2,implies(X3,implies(X1,X4))))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.855.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_855]).
% 11.46/11.86 cnf('0.1188.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),X1),implies(implies(X1,X2),implies(X3,X2)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.286.2.0','0.680.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.1188.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),X1),implies(implies(X1,X2),implies(X3,X2)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.1188.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.1188.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),X1),implies(implies(X1,X2),implies(X3,X2)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.1188.0.1']),
% 11.46/11.86 [weight('<461,680,286,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.1188.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),X1),implies(implies(X1,X2),implies(X3,X2)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.1188.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_1188]).
% 11.46/11.86 cnf('0.1262.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(implies(implies(X2,X2),X1),X3)),implies(X4,implies(implies(implies(X2,X2),X1),X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.759.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.1262.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(implies(implies(X2,X2),X1),X3)),implies(X4,implies(implies(implies(X2,X2),X1),X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.1262.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.1262.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(implies(implies(X2,X2),X1),X3)),implies(X4,implies(implies(implies(X2,X2),X1),X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.1262.0.1']),
% 11.46/11.86 [weight('<461,759,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.1262.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,implies(implies(implies(X2,X2),X1),X3)),implies(X4,implies(implies(implies(X2,X2),X1),X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.1262.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_1262]).
% 11.46/11.86 cnf('0.1266.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X2),X3),X4)),X3),implies(X5,X3))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.1262.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.1266.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X2),X3),X4)),X3),implies(X5,X3))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.1266.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.1266.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X2),X3),X4)),X3),implies(X5,X3))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.1266.0.1']),
% 11.46/11.86 [weight('<305,1262,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.1266.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X2),X3),X4)),X3),implies(X5,X3))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.1266.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_1266]).
% 11.46/11.86 cnf('0.1267.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X2),X3),X4)),X3),X3)),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.221.2.0','0.1266.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.1267.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X2),X3),X4)),X3),X3)) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.1267.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.1267.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X2),X3),X4)),X3),X3)) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.1267.0.1']),
% 11.46/11.86 [weight('<239,1266,221,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.1267.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X2),X3),X4)),X3),X3)) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.1267.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_1267]).
% 11.46/11.86 cnf('0.1355.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X1),X3)),implies(X4,implies(implies(implies(X1,X2),X1),X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.760.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.1355.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X1),X3)),implies(X4,implies(implies(implies(X1,X2),X1),X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.1355.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.1355.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X1),X3)),implies(X4,implies(implies(implies(X1,X2),X1),X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.1355.0.1']),
% 11.46/11.86 [weight('<461,760,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.1355.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X1),X3)),implies(X4,implies(implies(implies(X1,X2),X1),X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.1355.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_1355]).
% 11.46/11.86 cnf('0.1359.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),implies(X5,X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.1355.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.1359.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),implies(X5,X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.1359.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.1359.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),implies(X5,X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.1359.0.1']),
% 11.46/11.86 [weight('<305,1355,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.1359.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),implies(X5,X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.1359.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_1359]).
% 11.46/11.86 cnf('0.1360.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),X2)),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.221.2.0','0.1359.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.1360.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),X2)) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.1360.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.1360.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),X2)) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.1360.0.1']),
% 11.46/11.86 [weight('<239,1359,221,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.1360.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),X2)) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.1360.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_1360]).
% 11.46/11.86 cnf('0.1990.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X1,X4))))),true,is_a_theorem(implies(X2,implies(X3,implies(X1,X4)))),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.855.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.1990.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X1,X4))))),true,is_a_theorem(implies(X2,implies(X3,implies(X1,X4)))),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.1990.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.1990.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X1,X4))))),true,is_a_theorem(implies(X2,implies(X3,implies(X1,X4)))),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.1990.0.1']),
% 11.46/11.86 [weight('<505,855,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.1990.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X1,X4))))),true,is_a_theorem(implies(X2,implies(X3,implies(X1,X4)))),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.1990.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_1990]).
% 11.46/11.86 cnf('0.1999.0.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,implies(implies(implies(X2,X2),X3),X4)),X3),X3),X5)),true,ifeq(true,true,is_a_theorem(X5),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.1267.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.3.1','L')]).
% 11.46/11.86 cnf('0.1999.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,implies(implies(implies(X2,X2),X3),X4)),X3),X3),X5)),true,is_a_theorem(X5),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.1999.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R.3','L')]).
% 11.46/11.86 cnf('0.1999.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,implies(implies(implies(X2,X2),X3),X4)),X3),X3),X5)),true,is_a_theorem(X5),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.1999.0.1']),
% 11.46/11.86 [weight('<505,1267,3,[0,0,0,7]>')]).
% 11.46/11.86 cnf('0.1999.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(implies(X1,implies(implies(implies(X2,X2),X3),X4)),X3),X3),X5)),true,is_a_theorem(X5),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.1999.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_1999]).
% 11.46/11.86 cnf('0.2000.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,X3),X1),X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.1999.2.0','0.1188.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2000.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,X3),X1),X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2000.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2000.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,X3),X1),X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2000.0.1']),
% 11.46/11.86 [weight('<181,1999,1188,[1,0,0,1]>')]).
% 11.46/11.86 cnf('0.2000.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,X3),X1),X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2000.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2000]).
% 11.46/11.86 cnf('0.2011.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X1),implies(X2,X3)),implies(implies(implies(X3,X4),X2),X3))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.641.2.0','0.2000.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2011.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X1),implies(X2,X3)),implies(implies(implies(X3,X4),X2),X3))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2011.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2011.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X1),implies(X2,X3)),implies(implies(implies(X3,X4),X2),X3))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2011.0.1']),
% 11.46/11.86 [weight('<305,2000,641,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2011.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X1),implies(X2,X3)),implies(implies(implies(X3,X4),X2),X3))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2011.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2011]).
% 11.46/11.86 cnf('0.2118.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X1,X1),implies(X2,X3))),true,is_a_theorem(implies(implies(implies(X3,X4),X2),X3)),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.2011.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2118.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,X1),implies(X2,X3))),true,is_a_theorem(implies(implies(implies(X3,X4),X2),X3)),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2118.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2118.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,X1),implies(X2,X3))),true,is_a_theorem(implies(implies(implies(X3,X4),X2),X3)),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2118.0.1']),
% 11.46/11.86 [weight('<419,2011,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2118.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(X1,X1),implies(X2,X3))),true,is_a_theorem(implies(implies(implies(X3,X4),X2),X3)),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2118.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2118]).
% 11.46/11.86 cnf('0.2401.0.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),X2),X5)),true,ifeq(true,true,is_a_theorem(X5),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.1360.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.3.1','L')]).
% 11.46/11.86 cnf('0.2401.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),X2),X5)),true,is_a_theorem(X5),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2401.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R.3','L')]).
% 11.46/11.86 cnf('0.2401.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),X2),X5)),true,is_a_theorem(X5),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2401.0.1']),
% 11.46/11.86 [weight('<505,1360,3,[0,0,0,7]>')]).
% 11.46/11.86 cnf('0.2401.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),X2),X5)),true,is_a_theorem(X5),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2401.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2401]).
% 11.46/11.86 cnf('0.2402.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.2401.2.0','0.1188.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2402.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2402.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2402.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2402.0.1']),
% 11.46/11.86 [weight('<181,2401,1188,[1,0,0,1]>')]).
% 11.46/11.86 cnf('0.2402.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2402.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2402]).
% 11.46/11.86 cnf('0.2404.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),implies(X4,X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.726.2.0','0.2402.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2404.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),implies(X4,X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2404.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2404.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),implies(X4,X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2404.0.1']),
% 11.46/11.86 [weight('<239,2402,726,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2404.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),implies(X4,X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2404.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2404]).
% 11.46/11.86 cnf('0.2405.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3))))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.655.2.0','0.2404.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2405.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3))))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2405.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2405.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3))))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2405.0.1']),
% 11.46/11.86 [weight('<181,2404,655,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2405.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3))))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2405.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2405]).
% 11.46/11.86 cnf('0.2408.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X1,X3),X1),X2)),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.2402.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2408.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X1,X3),X1),X2)),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2408.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2408.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X1,X3),X1),X2)),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2408.0.1']),
% 11.46/11.86 [weight('<271,2402,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2408.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X1,X3),X1),X2)),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2408.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2408]).
% 11.46/11.86 cnf('0.2449.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X5,implies(X1,X4)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.2404.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2449.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X5,implies(X1,X4)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2449.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2449.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X5,implies(X1,X4)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2449.0.1']),
% 11.46/11.86 [weight('<379,2404,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2449.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X5,implies(X1,X4)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2449.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2449]).
% 11.46/11.86 cnf('0.2450.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.623.2.0','0.2449.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2450.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2450.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2450.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2450.0.1']),
% 11.46/11.86 [weight('<131,2449,623,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2450.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2450.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2450]).
% 11.46/11.86 cnf('0.2452.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X1,X2),X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.8.2.0','0.2450.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2452.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(X1,X2),X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2452.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2452.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(X1,X2),X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2452.0.1']),
% 11.46/11.86 [weight('<89,2450,8,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2452.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(X1,X2),X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2452.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2452]).
% 11.46/11.86 cnf('0.2453.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(X2,X1),X3),X3))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.792.2.0','0.2450.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2453.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,X1),X3),X3))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2453.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2453.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,X1),X3),X3))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2453.0.1']),
% 11.46/11.86 [weight('<131,2450,792,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2453.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(implies(X2,X1),X3),X3))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2453.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2453]).
% 11.46/11.86 cnf('0.2458.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),X3))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.2408.2.0','0.2452.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2458.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),X3))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2458.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2458.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),X3))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2458.0.1']),
% 11.46/11.86 [weight('<181,2452,2408,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2458.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),X3))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2458.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2458]).
% 11.46/11.86 cnf('0.2459.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.655.2.0','0.2458.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2459.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2459.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2459.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2459.0.1']),
% 11.46/11.86 [weight('<131,2458,655,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2459.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2459.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2459]).
% 11.46/11.86 cnf('0.2463.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X1),X4),X4)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.682.2.0','0.2459.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2463.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X1),X4),X4)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2463.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2463.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X1),X4),X4)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2463.0.1']),
% 11.46/11.86 [weight('<181,2459,682,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2463.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X1),X4),X4)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2463.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2463]).
% 11.46/11.86 cnf('0.2482.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X1,X4),X4)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.2408.2.0','0.2459.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2482.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X1,X4),X4)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2482.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2482.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X1,X4),X4)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2482.0.1']),
% 11.46/11.86 [weight('<239,2459,2408,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2482.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X1,X4),X4)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2482.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2482]).
% 11.46/11.86 cnf('0.2483.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4))))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.655.2.0','0.2482.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2483.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4))))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2483.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2483.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4))))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2483.0.1']),
% 11.46/11.86 [weight('<181,2482,655,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2483.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4))))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2483.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2483]).
% 11.46/11.86 cnf('0.2500.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X1,X4))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.221.2.0','0.2449.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2500.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X1,X4))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2500.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2500.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X1,X4))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2500.0.1']),
% 11.46/11.86 [weight('<305,2449,221,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2500.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X1,X4))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2500.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2500]).
% 11.46/11.86 cnf('0.2507.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X2),X3),X1),implies(implies(X1,X2),X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.2118.2.0','0.2450.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2507.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X2),X3),X1),implies(implies(X1,X2),X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2507.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2507.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X2),X3),X1),implies(implies(X1,X2),X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2507.0.1']),
% 11.46/11.86 [weight('<305,2450,2118,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2507.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X2),X3),X1),implies(implies(X1,X2),X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2507.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2507]).
% 11.46/11.86 cnf('0.2527.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X4,implies(X1,X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.2458.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2527.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X4,implies(X1,X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2527.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2527.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X4,implies(X1,X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2527.0.1']),
% 11.46/11.86 [weight('<305,2458,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2527.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X4,implies(X1,X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2527.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2527]).
% 11.46/11.86 cnf('0.2528.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X1,X3))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.221.2.0','0.2527.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2528.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X1,X3))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2528.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2528.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X1,X3))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2528.0.1']),
% 11.46/11.86 [weight('<239,2527,221,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2528.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X1,X3))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2528.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2528]).
% 11.46/11.86 cnf('0.2582.0.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(implies(implies(X2,X1),X3),X3)),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.2453.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.3.1','L')]).
% 11.46/11.86 cnf('0.2582.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(implies(implies(X2,X1),X3),X3)),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2582.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R.3','L')]).
% 11.46/11.86 cnf('0.2582.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(implies(implies(X2,X1),X3),X3)),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2582.0.1']),
% 11.46/11.86 [weight('<341,2453,3,[0,0,0,7]>')]).
% 11.46/11.86 cnf('0.2582.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(X1,implies(implies(implies(X2,X1),X3),X3)),X4)),true,is_a_theorem(X4),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2582.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2582]).
% 11.46/11.86 cnf('0.2625.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X1,X3))),true,is_a_theorem(implies(X1,X3)),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.2528.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2625.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X1,X3))),true,is_a_theorem(implies(X1,X3)),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2625.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2625.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X1,X3))),true,is_a_theorem(implies(X1,X3)),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2625.0.1']),
% 11.46/11.86 [weight('<341,2528,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2625.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X1,X3))),true,is_a_theorem(implies(X1,X3)),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2625.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2625]).
% 11.46/11.86 cnf('0.2628.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),X2),X3),implies(X4,X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.2625.2.0','0.2405.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2628.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),X2),X3),implies(X4,X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2628.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2628.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),X2),X3),implies(X4,X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2628.0.1']),
% 11.46/11.86 [weight('<239,2625,2405,[1,0,0,1]>')]).
% 11.46/11.86 cnf('0.2628.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),X2),X3),implies(X4,X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2628.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2628]).
% 11.46/11.86 cnf('0.2629.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.395.2.0','0.2628.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2629.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2629.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2629.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2629.0.1']),
% 11.46/11.86 [weight('<181,2628,395,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2629.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2629.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2629]).
% 11.46/11.86 cnf('0.2639.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),X3)),true,is_a_theorem(implies(X1,X3)),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.2629.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2639.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),X3)),true,is_a_theorem(implies(X1,X3)),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2639.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2639.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),X3)),true,is_a_theorem(implies(X1,X3)),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2639.0.1']),
% 11.46/11.86 [weight('<271,2629,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2639.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),X3)),true,is_a_theorem(implies(X1,X3)),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2639.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2639]).
% 11.46/11.86 cnf('0.2938.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(X4,implies(implies(X1,X3),X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4.2.0','0.2528.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2938.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(X4,implies(implies(X1,X3),X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2938.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2938.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(X4,implies(implies(X1,X3),X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2938.0.1']),
% 11.46/11.86 [weight('<379,2528,4,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2938.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(X4,implies(implies(X1,X3),X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2938.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2938]).
% 11.46/11.86 cnf('0.2939.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(implies(X1,X3),X3))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.221.2.0','0.2938.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.2939.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(implies(X1,X3),X3))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.2939.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.2939.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(implies(X1,X3),X3))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.2939.0.1']),
% 11.46/11.86 [weight('<305,2938,221,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.2939.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(implies(X1,X3),X3))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.2939.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_2939]).
% 11.46/11.86 cnf('0.3291.0.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3)))),X5)),true,ifeq(true,true,is_a_theorem(X5),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.2405.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.3.1','L')]).
% 11.46/11.86 cnf('0.3291.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3)))),X5)),true,is_a_theorem(X5),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.3291.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R.3','L')]).
% 11.46/11.86 cnf('0.3291.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3)))),X5)),true,is_a_theorem(X5),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.3291.0.1']),
% 11.46/11.86 [weight('<419,2405,3,[0,0,0,7]>')]).
% 11.46/11.86 cnf('0.3291.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3)))),X5)),true,is_a_theorem(X5),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.3291.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_3291]).
% 11.46/11.86 cnf('0.3292.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X5,X4)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3291.2.0','0.2500.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.3292.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X5,X4)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.3292.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.3292.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X5,X4)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.3292.0.1']),
% 11.46/11.86 [weight('<305,3291,2500,[1,0,0,1]>')]).
% 11.46/11.86 cnf('0.3292.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X5,X4)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.3292.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_3292]).
% 11.46/11.86 cnf('0.3293.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.395.2.0','0.3292.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.3293.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.3293.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.3293.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.3293.0.1']),
% 11.46/11.86 [weight('<239,3292,395,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.3293.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.3293.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_3293]).
% 11.46/11.86 cnf('0.3294.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,X2)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.2639.2.0','0.3293.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.3294.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,X2)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.3294.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.3294.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,X2)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.3294.0.1']),
% 11.46/11.86 [weight('<131,3293,2639,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.3294.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,X2)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.3294.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_3294]).
% 11.46/11.86 cnf('0.3296.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(X1,implies(X3,X2))),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.3294.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.3296.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(X1,implies(X3,X2))),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.3296.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.3296.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(X1,implies(X3,X2))),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.3296.0.1']),
% 11.46/11.86 [weight('<209,3294,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.3296.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(X1,implies(X3,X2))),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.3296.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_3296]).
% 11.46/11.86 cnf('0.3297.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,implies(X4,X2))))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3296.2.0','0.3294.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.3297.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,implies(X4,X2))))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.3297.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.3297.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,implies(X4,X2))))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.3297.0.1']),
% 11.46/11.86 [weight('<181,3296,3294,[1,0,0,1]>')]).
% 11.46/11.86 cnf('0.3297.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,implies(X4,X2))))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.3297.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_3297]).
% 11.46/11.86 cnf('0.3357.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),X4)),true,is_a_theorem(implies(X1,X4)),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.3293.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.3357.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),X4)),true,is_a_theorem(implies(X1,X4)),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.3357.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.3357.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),X4)),true,is_a_theorem(implies(X1,X4)),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.3357.0.1']),
% 11.46/11.86 [weight('<341,3293,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.3357.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),X4)),true,is_a_theorem(implies(X1,X4)),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.3357.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_3357]).
% 11.46/11.86 cnf('0.3359.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,implies(X4,X2))))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3357.2.0','0.3293.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.3359.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,implies(X4,X2))))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.3359.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.3359.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,implies(X4,X2))))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.3359.0.1']),
% 11.46/11.86 [weight('<181,3357,3293,[1,0,0,1]>')]).
% 11.46/11.86 cnf('0.3359.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,implies(X4,X2))))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.3359.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_3359]).
% 11.46/11.86 cnf('0.3377.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(X1,implies(X3,implies(X4,X2)))),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.3359.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.3377.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(X1,implies(X3,implies(X4,X2)))),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.3377.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.3377.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(X1,implies(X3,implies(X4,X2)))),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.3377.0.1']),
% 11.46/11.86 [weight('<271,3359,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.3377.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(X1,implies(X3,implies(X4,X2)))),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.3377.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_3377]).
% 11.46/11.86 cnf('0.3427.0.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X1,implies(X3,X2))),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.3294.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.3.1','L')]).
% 11.46/11.86 cnf('0.3427.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X1,implies(X3,X2))),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.3427.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R.3','L')]).
% 11.46/11.86 cnf('0.3427.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X1,implies(X3,X2))),X4)),true,is_a_theorem(X4),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.3427.0.1']),
% 11.46/11.86 [weight('<341,3294,3,[0,0,0,7]>')]).
% 11.46/11.86 cnf('0.3427.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X1,implies(X3,X2))),X4)),true,is_a_theorem(X4),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.3427.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_3427]).
% 11.46/11.86 cnf('0.3593.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),implies(X4,implies(X1,implies(X5,X2))))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.2408.2.0','0.3297.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.3593.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),implies(X4,implies(X1,implies(X5,X2))))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.3593.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.3593.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),implies(X4,implies(X1,implies(X5,X2))))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.3593.0.1']),
% 11.46/11.86 [weight('<379,3297,2408,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.3593.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),implies(X4,implies(X1,implies(X5,X2))))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.3593.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_3593]).
% 11.46/11.86 cnf('0.3950.0.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(implies(implies(X3,X1),X4),X4))),X5)),true,ifeq(true,true,is_a_theorem(X5),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.2463.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.3.1','L')]).
% 11.46/11.86 cnf('0.3950.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(implies(implies(X3,X1),X4),X4))),X5)),true,is_a_theorem(X5),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.3950.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R.3','L')]).
% 11.46/11.86 cnf('0.3950.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(implies(implies(X3,X1),X4),X4))),X5)),true,is_a_theorem(X5),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.3950.0.1']),
% 11.46/11.86 [weight('<419,2463,3,[0,0,0,7]>')]).
% 11.46/11.86 cnf('0.3950.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(implies(implies(X3,X1),X4),X4))),X5)),true,is_a_theorem(X5),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.3950.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_3950]).
% 11.46/11.86 cnf('0.3952.0.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4)))),X5)),true,ifeq(true,true,is_a_theorem(X5),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.2483.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.3.1','L')]).
% 11.46/11.86 cnf('0.3952.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4)))),X5)),true,is_a_theorem(X5),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.3952.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R.3','L')]).
% 11.46/11.86 cnf('0.3952.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4)))),X5)),true,is_a_theorem(X5),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.3952.0.1']),
% 11.46/11.86 [weight('<419,2483,3,[0,0,0,7]>')]).
% 11.46/11.86 cnf('0.3952.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4)))),X5)),true,is_a_theorem(X5),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.3952.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_3952]).
% 11.46/11.86 cnf('0.3955.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),X1)),true,is_a_theorem(implies(implies(X1,X2),X2)),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.2507.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.3955.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),X1)),true,is_a_theorem(implies(implies(X1,X2),X2)),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.3955.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.3955.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),X1)),true,is_a_theorem(implies(implies(X1,X2),X2)),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.3955.0.1']),
% 11.46/11.86 [weight('<419,2507,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.3955.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),X1)),true,is_a_theorem(implies(implies(X1,X2),X2)),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.3955.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_3955]).
% 11.46/11.86 cnf('0.4058.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X1,X2),implies(implies(X1,X3),X3))),true,is_a_theorem(implies(implies(X1,X3),X3)),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.2939.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4058.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,X2),implies(implies(X1,X3),X3))),true,is_a_theorem(implies(implies(X1,X3),X3)),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4058.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4058.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,X2),implies(implies(X1,X3),X3))),true,is_a_theorem(implies(implies(X1,X3),X3)),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4058.0.1']),
% 11.46/11.86 [weight('<419,2939,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.4058.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(X1,X2),implies(implies(X1,X3),X3))),true,is_a_theorem(implies(implies(X1,X3),X3)),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4058.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4058]).
% 11.46/11.86 cnf('0.4066.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X1,implies(X4,X2))),implies(X1,implies(X4,X2)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4058.2.0','0.3593.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4066.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X1,implies(X4,X2))),implies(X1,implies(X4,X2)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4066.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4066.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X1,implies(X4,X2))),implies(X1,implies(X4,X2)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4066.0.1']),
% 11.46/11.86 [weight('<379,4058,3593,[1,0,0,1]>')]).
% 11.46/11.86 cnf('0.4066.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X1,implies(X4,X2))),implies(X1,implies(X4,X2)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4066.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4066]).
% 11.46/11.86 cnf('0.4067.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(X2,implies(implies(X1,X3),X4)),X3),X3))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3950.2.0','0.4066.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4067.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,implies(implies(X1,X3),X4)),X3),X3))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4067.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4067.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,implies(implies(X1,X3),X4)),X3),X3))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4067.0.1']),
% 11.46/11.86 [weight('<239,4066,3950,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.4067.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(implies(X2,implies(implies(X1,X3),X4)),X3),X3))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4067.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4067]).
% 11.46/11.86 cnf('0.4107.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(implies(X3,implies(implies(X1,X4),X5)),X4),X4))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.2408.2.0','0.4067.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4107.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(implies(X3,implies(implies(X1,X4),X5)),X4),X4))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4107.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4107.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(implies(X3,implies(implies(X1,X4),X5)),X4),X4))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4107.0.1']),
% 11.46/11.86 [weight('<379,4067,2408,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.4107.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(implies(X3,implies(implies(X1,X4),X5)),X4),X4))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4107.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4107]).
% 11.46/11.86 cnf('0.4108.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),X2),X2)),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4058.2.0','0.4107.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4108.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),X2),X2)) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4108.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4108.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),X2),X2)) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4108.0.1']),
% 11.46/11.86 [weight('<181,4107,4058,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.4108.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),X2),X2)) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4108.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4108]).
% 11.46/11.86 cnf('0.4117.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),X2),implies(X4,implies(X5,X2)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3377.2.0','0.4108.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4117.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),X2),implies(X4,implies(X5,X2)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4117.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4117.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),X2),implies(X4,implies(X5,X2)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4117.0.1']),
% 11.46/11.86 [weight('<305,4108,3377,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.4117.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),X2),implies(X4,implies(X5,X2)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4117.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4117]).
% 11.46/11.86 cnf('0.4118.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),implies(X4,X2)),implies(X4,X2))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4058.2.0','0.4117.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4118.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),implies(X4,X2)),implies(X4,X2))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4118.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4118.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),implies(X4,X2)),implies(X4,X2))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4118.0.1']),
% 11.46/11.86 [weight('<305,4117,4058,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.4118.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),implies(X4,X2)),implies(X4,X2))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4118.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4118]).
% 11.46/11.86 cnf('0.4119.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,implies(implies(X2,X3),X4))),X3),X3)),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.2582.2.0','0.4118.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4119.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,implies(implies(X2,X3),X4))),X3),X3)) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4119.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4119.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,implies(implies(X2,X3),X4))),X3),X3)) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4119.0.1']),
% 11.46/11.86 [weight('<239,4118,2582,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.4119.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,implies(X2,implies(implies(X2,X3),X4))),X3),X3)) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4119.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4119]).
% 11.46/11.86 cnf('0.4234.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(X2,implies(implies(X2,X1),X3))),implies(X2,implies(implies(X2,X1),X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3955.2.0','0.4119.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4234.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(implies(X2,X1),X3))),implies(X2,implies(implies(X2,X1),X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4234.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4234.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(implies(X2,X1),X3))),implies(X2,implies(implies(X2,X1),X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4234.0.1']),
% 11.46/11.86 [weight('<379,4119,3955,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.4234.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,implies(X2,implies(implies(X2,X1),X3))),implies(X2,implies(implies(X2,X1),X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4234.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4234]).
% 11.46/11.86 cnf('0.4237.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3952.2.0','0.4234.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4237.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4237.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4237.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4237.0.1']),
% 11.46/11.86 [weight('<181,4234,3952,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.4237.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4237.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4237]).
% 11.46/11.86 cnf('0.4259.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(implies(X2,implies(X1,X3)),implies(X1,X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.1990.2.0','0.4237.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4259.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(X2,implies(X1,X3)),implies(X1,X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4259.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4259.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(X2,implies(X1,X3)),implies(X1,X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4259.0.1']),
% 11.46/11.86 [weight('<239,4237,1990,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.4259.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,implies(X1,X3)),implies(X1,X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4259.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4259]).
% 11.46/11.86 cnf('0.4809.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X3),X4)),implies(implies(X1,X3),X4))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3427.2.0','0.4259.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4809.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X3),X4)),implies(implies(X1,X3),X4))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4809.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4809.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X3),X4)),implies(implies(X1,X3),X4))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4809.0.1']),
% 11.46/11.86 [weight('<379,4259,3427,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.4809.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X3),X4)),implies(implies(X1,X3),X4))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4809.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4809]).
% 11.46/11.86 cnf('0.4810.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,implies(X3,X2)),X4),implies(X5,X4)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3291.2.0','0.4809.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4810.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,implies(X3,X2)),X4),implies(X5,X4)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4810.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4810.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,implies(X3,X2)),X4),implies(X5,X4)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4810.0.1']),
% 11.46/11.86 [weight('<305,4809,3291,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.4810.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,implies(X3,X2)),X4),implies(X5,X4)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4810.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4810]).
% 11.46/11.86 cnf('0.4811.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(implies(X1,X3),X4))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.395.2.0','0.4810.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4811.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(implies(X1,X3),X4))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4811.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4811.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(implies(X1,X3),X4))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4811.0.1']),
% 11.46/11.86 [weight('<239,4810,395,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.4811.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(implies(X1,X3),X4))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4811.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4811]).
% 11.46/11.86 cnf('0.4820.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X1,implies(X2,X3)),X4)),true,is_a_theorem(implies(implies(X1,X3),X4)),true),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3.2.0','0.4811.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4820.0.1',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,X3)),X4)),true,is_a_theorem(implies(implies(X1,X3),X4)),true) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4820.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4820.1.0',plain,
% 11.46/11.86 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,X3)),X4)),true,is_a_theorem(implies(implies(X1,X3),X4)),true) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4820.0.1']),
% 11.46/11.86 [weight('<341,4811,3,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.4820.2.0',plain,
% 11.46/11.86 ( ifeq(is_a_theorem(implies(implies(X1,implies(X2,X3)),X4)),true,is_a_theorem(implies(implies(X1,X3),X4)),true) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4820.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4820]).
% 11.46/11.86 cnf('0.4843.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(implies(X2,X1),X3)),implies(X2,implies(implies(X2,X1),X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.4820.2.0','0.4234.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4843.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(implies(X2,X1),X3)),implies(X2,implies(implies(X2,X1),X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4843.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4843.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,implies(implies(X2,X1),X3)),implies(X2,implies(implies(X2,X1),X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4843.0.1']),
% 11.46/11.86 [weight('<305,4820,4234,[1,0,0,1]>')]).
% 11.46/11.86 cnf('0.4843.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,implies(implies(X2,X1),X3)),implies(X2,implies(implies(X2,X1),X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4843.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4843]).
% 11.46/11.86 cnf('0.4849.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,X3))))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.3291.2.0','0.4843.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4849.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,X3))))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4849.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4849.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,X3))))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4849.0.1']),
% 11.46/11.86 [weight('<239,4843,3291,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.4849.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,X3))))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4849.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4849]).
% 11.46/11.86 cnf('0.4850.0.0',plain,
% 11.46/11.86 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),true) ),
% 11.46/11.86 inference(cp,[status(thm)],['0.1990.2.0','0.4849.2.0',theory(equality)]),
% 11.46/11.86 [pos('L.1','L')]).
% 11.46/11.86 cnf('0.4850.0.1',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) ),
% 11.46/11.86 inference(reduction,[status(thm)],['0.4850.0.0','0.1.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('0.4850.1.0',plain,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) ),
% 11.46/11.86 inference(weigh,[status(thm)],['0.4850.0.1']),
% 11.46/11.86 [weight('<181,4849,1990,[0,0,0,1]>')]).
% 11.46/11.86 cnf('0.4850.2.0',plain,
% 11.46/11.86 ( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) = true ),
% 11.46/11.86 inference(orient,[status(thm)],['0.4850.1.0',theory(equality)]),
% 11.46/11.86 [x,rule_4850]).
% 11.46/11.86 cnf('1.0.0.0',conjecture,
% 11.46/11.86 ( true = is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ),
% 11.46/11.86 file('/tmp/WALDMEISTER_12097_n029',conjecture_1)).
% 11.46/11.86 cnf('1.0.0.1',plain,
% 11.46/11.86 ( true = true ),
% 11.46/11.86 inference(reduction,[status(thm)],['1.0.0.0','0.4850.2.0',theory(equality)]),
% 11.46/11.86 [pos('R','L')]).
% 11.46/11.86 cnf('1.0.0.2',plain,
% 11.46/11.86 ( $true ),
% 11.46/11.86 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 11.46/11.86 [conjecture_1]).
% 11.46/11.86
% 11.46/11.86 Proved Goals:
% 11.46/11.86 No. 1: true ?= is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) joined, current: true = true
% 11.46/11.86 1 goal was specified, which was proved.
% 11.46/11.86 % SZS output end CNFRefutation
% 11.46/11.86 #END OF PROOF
% 11.46/11.86
% 11.46/11.86 Problem WALDMEISTER_12097_n029
% 11.46/11.86 CPs.gen 10026319
% 11.46/11.86 CPs.reexp 0
% 11.46/11.86 Select 20467
% 11.46/11.86 R 4850
% 11.46/11.86 E 0
% 11.46/11.86 vsize 12.2M
% 11.46/11.86 rss 7.5M
% 11.46/11.86 process.time 10.876s
% 11.46/11.86 wallclock.time 10.877s
% 11.46/11.86 status S
% 11.46/11.86
% 11.46/11.86
% 11.46/11.86 Waldmeister states: Goal proved.
% 11.46/11.86 % SZS status Unsatisfiable
%------------------------------------------------------------------------------