TSTP Solution File: LCL084-10 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LCL084-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n026.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 16:03:24 EDT 2022
% Result : Unsatisfiable 9.81s 10.20s
% Output : CNFRefutation 9.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL084-10 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.34 % Computer : n026.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 : Mon Jul 4 17:08:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.60/1.01 ********************************************************************************
% 0.60/1.01 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/1.01 * |/ | \/ | *
% 0.60/1.01 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/1.01 * A. Jaeger and B. Loechner | | *
% 0.60/1.01 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/1.01 ********************************************************************************
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 Goals:
% 0.60/1.01 ------
% 0.60/1.01
% 0.60/1.01 ( 1) true ?=? is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))
% 0.60/1.01
% 0.60/1.01 Detected structure: Orkus
% 0.60/1.01 ********************************************************************************
% 0.60/1.01 ****************************** COMPLETION - PROOF ******************************
% 0.60/1.01 ********************************************************************************
% 0.60/1.01
% 9.81/10.20 joined goal: 1 true ?= is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) to true
% 9.81/10.20 goal joined
% 9.81/10.20 % SZS status Unsatisfiable
% 9.81/10.20 #START OF PROOF
% 9.81/10.20 % SZS output start CNFRefutation
% 9.81/10.20 cnf('0.1.0.0',axiom,
% 9.81/10.20 ( X1 = ifeq(X2,X2,X1,X3) ),
% 9.81/10.20 file('/tmp/WALDMEISTER_7632_n026')).
% 9.81/10.20 cnf('0.1.1.0',plain,
% 9.81/10.20 ( X1 = ifeq(X2,X2,X1,X3) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1.0.0']),
% 9.81/10.20 [weight('<0,0,0,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1.2.0',plain,
% 9.81/10.20 ( ifeq(X1,X1,X2,X3) = X2 ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1]).
% 9.81/10.20 cnf('0.2.0.0',axiom,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,X1)) ),
% 9.81/10.20 file('/tmp/WALDMEISTER_7632_n026')).
% 9.81/10.20 cnf('0.2.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,X1)) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2.0.0']),
% 9.81/10.20 [weight('<1,0,0,[0,0,0,2]>')]).
% 9.81/10.20 cnf('0.2.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,X1)) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2]).
% 9.81/10.20 cnf('0.3.0.0',axiom,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))) ),
% 9.81/10.20 file('/tmp/WALDMEISTER_7632_n026')).
% 9.81/10.20 cnf('0.3.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.3.0.0']),
% 9.81/10.20 [weight('<2,0,0,[0,0,0,3]>')]).
% 9.81/10.20 cnf('0.3.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_3]).
% 9.81/10.20 cnf('0.4.0.0',axiom,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true) ),
% 9.81/10.20 file('/tmp/WALDMEISTER_7632_n026')).
% 9.81/10.20 cnf('0.4.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.4.0.0']),
% 9.81/10.20 [weight('<3,0,0,[0,0,0,4]>')]).
% 9.81/10.20 cnf('0.4.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_4]).
% 9.81/10.20 cnf('0.6.0.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,X1),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.3.1','L')]).
% 9.81/10.20 cnf('0.6.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,X1),X2)),true,is_a_theorem(X2),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.6.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R.3','L')]).
% 9.81/10.20 cnf('0.6.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,X1),X2)),true,is_a_theorem(X2),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.6.0.1']),
% 9.81/10.20 [weight('<155,4,2,[1,0,0,7]>')]).
% 9.81/10.20 cnf('0.6.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(X1,X1),X2)),true,is_a_theorem(X2),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_6]).
% 9.81/10.20 cnf('0.7.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.7.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.7.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.7.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.7.0.1']),
% 9.81/10.20 [weight('<131,6,3,[1,0,0,1]>')]).
% 9.81/10.20 cnf('0.7.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_7]).
% 9.81/10.20 cnf('0.23.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.23.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(implies(X3,X1),implies(X4,X1))),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.23.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.23.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(implies(X3,X1),implies(X4,X1))),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.23.0.1']),
% 9.81/10.20 [weight('<341,4,3,[1,0,0,1]>')]).
% 9.81/10.20 cnf('0.23.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(implies(X3,X1),implies(X4,X1))),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_23]).
% 9.81/10.20 cnf('0.24.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.7.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.24.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.24.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.24.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.24.0.1']),
% 9.81/10.20 [weight('<239,23,7,[1,0,0,1]>')]).
% 9.81/10.20 cnf('0.24.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_24]).
% 9.81/10.20 cnf('0.31.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,X2)),implies(X5,implies(X4,X2)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.24.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.31.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,X2)),implies(X5,implies(X4,X2)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.31.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.31.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,X2)),implies(X5,implies(X4,X2)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.31.0.1']),
% 9.81/10.20 [weight('<305,24,23,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.31.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,X2)),implies(X5,implies(X4,X2)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_31]).
% 9.81/10.20 cnf('0.34.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.7.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.3.1','L')]).
% 9.81/10.20 cnf('0.34.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4)),true,is_a_theorem(X4),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.34.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R.3','L')]).
% 9.81/10.20 cnf('0.34.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4)),true,is_a_theorem(X4),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.34.0.1']),
% 9.81/10.20 [weight('<341,7,4,[0,0,0,7]>')]).
% 9.81/10.20 cnf('0.34.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4)),true,is_a_theorem(X4),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_34]).
% 9.81/10.20 cnf('0.40.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.3.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.40.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.40.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.40.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.40.0.1']),
% 9.81/10.20 [weight('<379,23,3,[1,0,0,1]>')]).
% 9.81/10.20 cnf('0.40.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_40]).
% 9.81/10.20 cnf('0.41.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.34.2.0','0.40.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.41.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.41.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.41.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.41.0.1']),
% 9.81/10.20 [weight('<89,40,34,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.41.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_41]).
% 9.81/10.20 cnf('0.42.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,X1))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.6.2.0','0.41.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.42.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(X2,X1))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.42.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.42.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(X2,X1))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.42.0.1']),
% 9.81/10.20 [weight('<55,41,6,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.42.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(X2,X1))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_42]).
% 9.81/10.20 cnf('0.46.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.42.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.46.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.46.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.46.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.46.0.1']),
% 9.81/10.20 [weight('<181,42,23,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.46.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_46]).
% 9.81/10.20 cnf('0.54.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.3.1','L')]).
% 9.81/10.20 cnf('0.54.0.1',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.54.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R.3','L')]).
% 9.81/10.20 cnf('0.54.1.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.54.0.1']),
% 9.81/10.20 [weight('<?,4,3,[1,0,0,7]>')]).
% 9.81/10.20 cnf('0.54.2.0',plain,
% 9.81/10.20 ( 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 ),
% 9.81/10.20 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_54]).
% 9.81/10.20 cnf('0.58.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),X4),X3),implies(X2,X3)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.54.2.0','0.31.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.58.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),X4),X3),implies(X2,X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.58.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.58.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),X4),X3),implies(X2,X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.58.0.1']),
% 9.81/10.20 [weight('<239,54,31,[1,0,0,1]>')]).
% 9.81/10.20 cnf('0.58.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),X4),X3),implies(X2,X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_58]).
% 9.81/10.20 cnf('0.59.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.6.2.0','0.58.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.59.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.59.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.59.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.59.0.1']),
% 9.81/10.20 [weight('<181,58,6,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.59.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_59]).
% 9.81/10.20 cnf('0.63.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),X2)),true,is_a_theorem(implies(X1,X2)),true),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.59.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.63.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),X2)),true,is_a_theorem(implies(X1,X2)),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.63.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.63.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),X2)),true,is_a_theorem(implies(X1,X2)),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.63.0.1']),
% 9.81/10.20 [weight('<271,59,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.63.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),X2)),true,is_a_theorem(implies(X1,X2)),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_63]).
% 9.81/10.20 cnf('0.97.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.59.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.97.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X2),X3)),implies(X4,implies(implies(X1,X2),X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.97.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.97.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X2),X3)),implies(X4,implies(implies(X1,X2),X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.97.0.1']),
% 9.81/10.20 [weight('<379,59,23,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.97.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X2),X3)),implies(X4,implies(implies(X1,X2),X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_97]).
% 9.81/10.20 cnf('0.98.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.34.2.0','0.97.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.98.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.98.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.98.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.98.0.1']),
% 9.81/10.20 [weight('<131,97,34,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.98.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_98]).
% 9.81/10.20 cnf('0.99.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X1),X1)),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.6.2.0','0.98.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.99.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.99.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.99.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.99.0.1']),
% 9.81/10.20 [weight('<89,98,6,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.99.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_99]).
% 9.81/10.20 cnf('0.104.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.99.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.104.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.104.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.104.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.104.0.1']),
% 9.81/10.20 [weight('<181,99,23,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.104.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_104]).
% 9.81/10.20 cnf('0.114.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X3,implies(X1,X2))),true),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.104.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.114.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X3,implies(X1,X2))),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.114.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.114.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X3,implies(X1,X2))),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.114.0.1']),
% 9.81/10.20 [weight('<271,104,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.114.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X3,implies(X1,X2))),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_114]).
% 9.81/10.20 cnf('0.119.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X4)),X3),X3))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.114.2.0','0.46.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.119.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X4)),X3),X3))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.119.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.119.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X4)),X3),X3))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.119.0.1']),
% 9.81/10.20 [weight('<181,114,46,[1,0,0,1]>')]).
% 9.81/10.20 cnf('0.119.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X4)),X3),X3))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.119.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_119]).
% 9.81/10.20 cnf('0.120.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),X2)),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.6.2.0','0.119.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.120.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),X2)) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.120.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.120.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),X2)) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.120.0.1']),
% 9.81/10.20 [weight('<131,119,6,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.120.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),X2)) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_120]).
% 9.81/10.20 cnf('0.121.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.114.2.0','0.104.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.121.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.121.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.121.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.121.0.1']),
% 9.81/10.20 [weight('<181,114,104,[1,0,0,1]>')]).
% 9.81/10.20 cnf('0.121.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.121.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_121]).
% 9.81/10.20 cnf('0.122.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.6.2.0','0.121.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.122.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.122.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.122.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.122.0.1']),
% 9.81/10.20 [weight('<131,121,6,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.122.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.122.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_122]).
% 9.81/10.20 cnf('0.124.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X1,X2)),true),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.122.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.124.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X1,X2)),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.124.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.124.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X1,X2)),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.124.0.1']),
% 9.81/10.20 [weight('<209,122,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.124.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X1,X2)),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.124.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_124]).
% 9.81/10.20 cnf('0.125.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X2,X3))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.124.2.0','0.24.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.125.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X2,X3))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.125.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.125.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X2,X3))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.125.0.1']),
% 9.81/10.20 [weight('<181,124,24,[1,0,0,1]>')]).
% 9.81/10.20 cnf('0.125.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X2,X3))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.125.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_125]).
% 9.81/10.20 cnf('0.145.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X4,implies(X3,X1)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.125.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.145.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X4,implies(X3,X1)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.145.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.145.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X4,implies(X3,X1)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.145.0.1']),
% 9.81/10.20 [weight('<239,125,23,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.145.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X4,implies(X3,X1)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.145.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_145]).
% 9.81/10.20 cnf('0.146.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.63.2.0','0.145.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.146.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.146.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.146.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.146.0.1']),
% 9.81/10.20 [weight('<89,145,63,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.146.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.146.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_146]).
% 9.81/10.20 cnf('0.152.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),implies(X5,X3))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.146.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.152.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),implies(X5,X3))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.152.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.152.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),implies(X5,X3))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.152.0.1']),
% 9.81/10.20 [weight('<239,146,23,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.152.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),implies(X5,X3))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_152]).
% 9.81/10.20 cnf('0.153.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),X3)),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.124.2.0','0.152.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.153.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),X3)) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.153.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.153.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),X3)) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.153.0.1']),
% 9.81/10.20 [weight('<181,152,124,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.153.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),X3)) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_153]).
% 9.81/10.20 cnf('0.161.0.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X1))),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.146.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.3.1','L')]).
% 9.81/10.20 cnf('0.161.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X1))),X4)),true,is_a_theorem(X4),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.161.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R.3','L')]).
% 9.81/10.20 cnf('0.161.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X1))),X4)),true,is_a_theorem(X4),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.161.0.1']),
% 9.81/10.20 [weight('<271,146,4,[0,0,0,7]>')]).
% 9.81/10.20 cnf('0.161.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X1))),X4)),true,is_a_theorem(X4),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.161.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_161]).
% 9.81/10.20 cnf('0.188.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X4,implies(X2,implies(X1,X3))))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.120.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.188.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X4,implies(X2,implies(X1,X3))))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.188.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.188.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X4,implies(X2,implies(X1,X3))))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.188.0.1']),
% 9.81/10.20 [weight('<305,120,23,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.188.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X4,implies(X2,implies(X1,X3))))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.188.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_188]).
% 9.81/10.20 cnf('0.189.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(implies(X3,X4),X2),X3)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.54.2.0','0.188.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.189.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(implies(X3,X4),X2),X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.189.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.189.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(implies(X3,X4),X2),X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.189.0.1']),
% 9.81/10.20 [weight('<239,188,54,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.189.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(implies(X3,X4),X2),X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.189.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_189]).
% 9.81/10.20 cnf('0.190.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X2,X3),X1),X2))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.6.2.0','0.189.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.190.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X2,X3),X1),X2))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.190.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.190.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X2,X3),X1),X2))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.190.0.1']),
% 9.81/10.20 [weight('<181,189,6,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.190.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X2,X3),X1),X2))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.190.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_190]).
% 9.81/10.20 cnf('0.193.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.124.2.0','0.188.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.193.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.193.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.193.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.193.0.1']),
% 9.81/10.20 [weight('<239,188,124,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.193.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.193.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_193]).
% 9.81/10.20 cnf('0.199.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X2,X3),X1),X2)),true),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.190.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.199.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X2,X3),X1),X2)),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.199.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.199.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X2,X3),X1),X2)),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.199.0.1']),
% 9.81/10.20 [weight('<271,190,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.199.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X2,X3),X1),X2)),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.199.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_199]).
% 9.81/10.20 cnf('0.251.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2)),implies(X1,X2))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.34.2.0','0.190.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.251.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2)),implies(X1,X2))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.251.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.251.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2)),implies(X1,X2))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.251.0.1']),
% 9.81/10.20 [weight('<305,190,34,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.251.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2)),implies(X1,X2))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.251.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_251]).
% 9.81/10.20 cnf('0.253.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X4),X3),implies(X1,implies(X2,X3)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.161.2.0','0.190.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.253.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X4),X3),implies(X1,implies(X2,X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.253.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.253.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X4),X3),implies(X1,implies(X2,X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.253.0.1']),
% 9.81/10.20 [weight('<305,190,161,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.253.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X4),X3),implies(X1,implies(X2,X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.253.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_253]).
% 9.81/10.20 cnf('0.295.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.193.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.295.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(X1,implies(X2,implies(X1,X3)))),true,is_a_theorem(implies(X2,implies(X1,X3))),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.295.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.295.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(X1,implies(X2,implies(X1,X3)))),true,is_a_theorem(implies(X2,implies(X1,X3))),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.295.0.1']),
% 9.81/10.20 [weight('<341,193,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.295.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(X1,implies(X2,implies(X1,X3)))),true,is_a_theorem(implies(X2,implies(X1,X3))),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.295.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_295]).
% 9.81/10.20 cnf('0.525.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.104.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.3.1','L')]).
% 9.81/10.20 cnf('0.525.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))),X4)),true,is_a_theorem(X4),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.525.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R.3','L')]).
% 9.81/10.20 cnf('0.525.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))),X4)),true,is_a_theorem(X4),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.525.0.1']),
% 9.81/10.20 [weight('<419,104,4,[0,0,0,7]>')]).
% 9.81/10.20 cnf('0.525.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))),X4)),true,is_a_theorem(X4),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.525.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_525]).
% 9.81/10.20 cnf('0.555.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.251.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.555.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2))),true,is_a_theorem(implies(X1,X2)),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.555.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.555.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2))),true,is_a_theorem(implies(X1,X2)),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.555.0.1']),
% 9.81/10.20 [weight('<419,251,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.555.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2))),true,is_a_theorem(implies(X1,X2)),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.555.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_555]).
% 9.81/10.20 cnf('0.557.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.253.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.557.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),X3)),true,is_a_theorem(implies(X1,implies(X2,X3))),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.557.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.557.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),X3)),true,is_a_theorem(implies(X1,implies(X2,X3))),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.557.0.1']),
% 9.81/10.20 [weight('<419,253,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.557.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),X3)),true,is_a_theorem(implies(X1,implies(X2,X3))),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.557.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_557]).
% 9.81/10.20 cnf('0.577.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.31.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.577.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,implies(X3,X5))),implies(X6,implies(X4,implies(X3,X5))))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.577.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.577.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,implies(X3,X5))),implies(X6,implies(X4,implies(X3,X5))))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.577.0.1']),
% 9.81/10.20 [weight('<461,31,23,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.577.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,implies(X3,X5))),implies(X6,implies(X4,implies(X3,X5))))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.577.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_577]).
% 9.81/10.20 cnf('0.578.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.54.2.0','0.577.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.578.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.578.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.578.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.578.0.1']),
% 9.81/10.20 [weight('<181,577,54,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.578.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.578.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_578]).
% 9.81/10.20 cnf('0.579.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.6.2.0','0.578.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.579.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.579.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.579.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.579.0.1']),
% 9.81/10.20 [weight('<131,578,6,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.579.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.579.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_579]).
% 9.81/10.20 cnf('0.580.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.54.2.0','0.579.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.580.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.580.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.580.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.580.0.1']),
% 9.81/10.20 [weight('<131,579,54,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.580.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.580.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_580]).
% 9.81/10.20 cnf('0.582.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(X2,X3)),true),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.579.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.582.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(X2,X3)),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.582.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.582.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(X2,X3)),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.582.0.1']),
% 9.81/10.20 [weight('<209,579,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.582.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(X2,X3)),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.582.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_582]).
% 9.81/10.20 cnf('0.597.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X4,X1),X2)),implies(X1,X2))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.199.2.0','0.579.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.597.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X4,X1),X2)),implies(X1,X2))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.597.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.597.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X4,X1),X2)),implies(X1,X2))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.597.0.1']),
% 9.81/10.20 [weight('<305,579,199,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.597.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X4,X1),X2)),implies(X1,X2))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.597.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_597]).
% 9.81/10.20 cnf('0.598.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),implies(X5,X1))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.580.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.598.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),implies(X5,X1))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.598.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.598.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),implies(X5,X1))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.598.0.1']),
% 9.81/10.20 [weight('<305,580,23,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.598.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),implies(X5,X1))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.598.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_598]).
% 9.81/10.20 cnf('0.599.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),X1)),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.124.2.0','0.598.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.599.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),X1)) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.599.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.599.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),X1)) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.599.0.1']),
% 9.81/10.20 [weight('<239,598,124,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.599.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),X1)) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.599.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_599]).
% 9.81/10.20 cnf('0.626.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.580.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.3.1','L')]).
% 9.81/10.20 cnf('0.626.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4)),true,is_a_theorem(X4),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.626.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R.3','L')]).
% 9.81/10.20 cnf('0.626.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4)),true,is_a_theorem(X4),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.626.0.1']),
% 9.81/10.20 [weight('<341,580,4,[0,0,0,7]>')]).
% 9.81/10.20 cnf('0.626.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4)),true,is_a_theorem(X4),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.626.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_626]).
% 9.81/10.20 cnf('0.658.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.555.2.0','0.599.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.658.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4),X2),implies(X1,X2))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.658.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.658.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4),X2),implies(X1,X2))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.658.0.1']),
% 9.81/10.20 [weight('<379,599,555,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.658.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4),X2),implies(X1,X2))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.658.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_658]).
% 9.81/10.20 cnf('0.659.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X3),implies(implies(X1,X2),X1)),X1)),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.555.2.0','0.658.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.659.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X3),implies(implies(X1,X2),X1)),X1)) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.659.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.659.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X3),implies(implies(X1,X2),X1)),X1)) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.659.0.1']),
% 9.81/10.20 [weight('<305,658,555,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.659.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X3),implies(implies(X1,X2),X1)),X1)) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.659.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_659]).
% 9.81/10.20 cnf('0.692.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.597.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.692.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X4,X1),X2))),true,is_a_theorem(implies(X1,X2)),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.692.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.692.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X4,X1),X2))),true,is_a_theorem(implies(X1,X2)),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.692.0.1']),
% 9.81/10.20 [weight('<419,597,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.692.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X4,X1),X2))),true,is_a_theorem(implies(X1,X2)),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.692.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_692]).
% 9.81/10.20 cnf('0.757.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.153.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.757.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X5,implies(X2,implies(X3,implies(X1,X4)))))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.757.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.757.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X5,implies(X2,implies(X3,implies(X1,X4)))))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.757.0.1']),
% 9.81/10.20 [weight('<461,153,23,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.757.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X5,implies(X2,implies(X3,implies(X1,X4)))))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.757.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_757]).
% 9.81/10.20 cnf('0.758.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.124.2.0','0.757.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.758.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X2,implies(X3,implies(X1,X4))))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.758.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.758.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X2,implies(X3,implies(X1,X4))))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.758.0.1']),
% 9.81/10.20 [weight('<379,757,124,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.758.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X2,implies(X3,implies(X1,X4))))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.758.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_758]).
% 9.81/10.20 cnf('0.1091.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.199.2.0','0.580.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1091.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),X1),implies(implies(X1,X2),implies(X3,X2)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1091.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1091.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),X1),implies(implies(X1,X2),implies(X3,X2)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1091.0.1']),
% 9.81/10.20 [weight('<461,580,199,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1091.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),X1),implies(implies(X1,X2),implies(X3,X2)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1091.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1091]).
% 9.81/10.20 cnf('0.1164.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.659.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1164.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X1),X3)),implies(X4,implies(implies(implies(X1,X2),X1),X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1164.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1164.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X1),X3)),implies(X4,implies(implies(implies(X1,X2),X1),X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1164.0.1']),
% 9.81/10.20 [weight('<461,659,23,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1164.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X1),X3)),implies(X4,implies(implies(implies(X1,X2),X1),X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1164.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1164]).
% 9.81/10.20 cnf('0.1168.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),implies(X5,X2))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.1164.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1168.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),implies(X5,X2))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1168.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1168.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),implies(X5,X2))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1168.0.1']),
% 9.81/10.20 [weight('<305,1164,23,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1168.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),implies(X5,X2))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1168.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1168]).
% 9.81/10.20 cnf('0.1169.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),X2)),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.124.2.0','0.1168.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1169.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),X2)) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1169.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1169.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),X2)) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1169.0.1']),
% 9.81/10.20 [weight('<239,1168,124,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1169.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),X2)) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1169.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1169]).
% 9.81/10.20 cnf('0.1898.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.758.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1898.0.1',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1898.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1898.1.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1898.0.1']),
% 9.81/10.20 [weight('<505,758,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1898.2.0',plain,
% 9.81/10.20 ( 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 ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1898.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1898]).
% 9.81/10.20 cnf('0.1906.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.1169.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.3.1','L')]).
% 9.81/10.20 cnf('0.1906.0.1',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1906.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R.3','L')]).
% 9.81/10.20 cnf('0.1906.1.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1906.0.1']),
% 9.81/10.20 [weight('<505,1169,4,[0,0,0,7]>')]).
% 9.81/10.20 cnf('0.1906.2.0',plain,
% 9.81/10.20 ( 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 ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1906.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1906]).
% 9.81/10.20 cnf('0.1907.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.1906.2.0','0.1091.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1907.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1907.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1907.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1907.0.1']),
% 9.81/10.20 [weight('<181,1906,1091,[1,0,0,1]>')]).
% 9.81/10.20 cnf('0.1907.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1907.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1907]).
% 9.81/10.20 cnf('0.1909.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),implies(X4,X3)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.626.2.0','0.1907.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1909.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),implies(X4,X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1909.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1909.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),implies(X4,X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1909.0.1']),
% 9.81/10.20 [weight('<239,1907,626,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1909.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),implies(X4,X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1909.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1909]).
% 9.81/10.20 cnf('0.1910.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3))))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.557.2.0','0.1909.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1910.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3))))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1910.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1910.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3))))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1910.0.1']),
% 9.81/10.20 [weight('<181,1909,557,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1910.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3))))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1910.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1910]).
% 9.81/10.20 cnf('0.1913.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X1,X3),X1),X2)),true),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.1907.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1913.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X1,X3),X1),X2)),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1913.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1913.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X1,X3),X1),X2)),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1913.0.1']),
% 9.81/10.20 [weight('<271,1907,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1913.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X1,X3),X1),X2)),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1913.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1913]).
% 9.81/10.20 cnf('0.1948.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.1909.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1948.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X5,implies(X1,X4)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1948.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1948.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X5,implies(X1,X4)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1948.0.1']),
% 9.81/10.20 [weight('<379,1909,23,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1948.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X5,implies(X1,X4)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1948.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1948]).
% 9.81/10.20 cnf('0.1949.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.525.2.0','0.1948.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1949.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1949.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1949.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1949.0.1']),
% 9.81/10.20 [weight('<131,1948,525,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1949.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1949.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1949]).
% 9.81/10.20 cnf('0.1950.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X1,X2),X2))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.6.2.0','0.1949.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1950.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(X1,X2),X2))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1950.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1950.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(X1,X2),X2))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1950.0.1']),
% 9.81/10.20 [weight('<89,1949,6,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1950.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(implies(X1,X2),X2))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1950.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1950]).
% 9.81/10.20 cnf('0.1951.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(X2,X1),X3),X3))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.692.2.0','0.1949.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1951.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,X1),X3),X3))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1951.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1951.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,X1),X3),X3))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1951.0.1']),
% 9.81/10.20 [weight('<131,1949,692,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1951.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(implies(implies(X2,X1),X3),X3))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1951.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1951]).
% 9.81/10.20 cnf('0.1955.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),X3))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.1913.2.0','0.1950.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1955.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),X3))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1955.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1955.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),X3))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1955.0.1']),
% 9.81/10.20 [weight('<181,1950,1913,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1955.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),X3))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1955.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1955]).
% 9.81/10.20 cnf('0.1956.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.557.2.0','0.1955.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1956.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1956.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1956.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1956.0.1']),
% 9.81/10.20 [weight('<131,1955,557,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1956.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1956.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1956]).
% 9.81/10.20 cnf('0.1960.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X1),X4),X4)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.582.2.0','0.1956.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1960.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X1),X4),X4)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1960.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1960.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X1),X4),X4)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1960.0.1']),
% 9.81/10.20 [weight('<181,1956,582,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1960.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X1),X4),X4)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1960.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1960]).
% 9.81/10.20 cnf('0.1976.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X1,X4),X4)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.1913.2.0','0.1956.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1976.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X1,X4),X4)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1976.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1976.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X1,X4),X4)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1976.0.1']),
% 9.81/10.20 [weight('<239,1956,1913,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1976.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X1,X4),X4)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1976.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1976]).
% 9.81/10.20 cnf('0.1977.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4))))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.557.2.0','0.1976.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1977.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4))))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1977.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1977.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4))))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1977.0.1']),
% 9.81/10.20 [weight('<181,1976,557,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1977.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4))))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1977.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1977]).
% 9.81/10.20 cnf('0.1994.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X1,X4))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.124.2.0','0.1948.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1994.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X1,X4))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1994.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1994.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X1,X4))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1994.0.1']),
% 9.81/10.20 [weight('<305,1948,124,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1994.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X1,X4))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1994.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1994]).
% 9.81/10.20 cnf('0.1999.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X2),X3),X1),implies(implies(X1,X2),X2))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.199.2.0','0.1950.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.1999.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X2),X3),X1),implies(implies(X1,X2),X2))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.1999.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.1999.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X2),X3),X1),implies(implies(X1,X2),X2))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.1999.0.1']),
% 9.81/10.20 [weight('<305,1950,199,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.1999.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X2),X3),X1),implies(implies(X1,X2),X2))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.1999.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_1999]).
% 9.81/10.20 cnf('0.2013.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X4,implies(X1,X3)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.1955.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.2013.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X4,implies(X1,X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2013.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.2013.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X4,implies(X1,X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2013.0.1']),
% 9.81/10.20 [weight('<305,1955,23,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.2013.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X4,implies(X1,X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2013.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2013]).
% 9.81/10.20 cnf('0.2014.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X1,X3))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.124.2.0','0.2013.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.2014.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X1,X3))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2014.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.2014.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X1,X3))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2014.0.1']),
% 9.81/10.20 [weight('<239,2013,124,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.2014.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X1,X3))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2014.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2014]).
% 9.81/10.20 cnf('0.2061.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.1951.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.3.1','L')]).
% 9.81/10.20 cnf('0.2061.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(implies(implies(X2,X1),X3),X3)),X4)),true,is_a_theorem(X4),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2061.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R.3','L')]).
% 9.81/10.20 cnf('0.2061.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(implies(implies(X2,X1),X3),X3)),X4)),true,is_a_theorem(X4),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2061.0.1']),
% 9.81/10.20 [weight('<341,1951,4,[0,0,0,7]>')]).
% 9.81/10.20 cnf('0.2061.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(X1,implies(implies(implies(X2,X1),X3),X3)),X4)),true,is_a_theorem(X4),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2061.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2061]).
% 9.81/10.20 cnf('0.2102.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.2014.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.2102.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X1,X3))),true,is_a_theorem(implies(X1,X3)),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2102.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.2102.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X1,X3))),true,is_a_theorem(implies(X1,X3)),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2102.0.1']),
% 9.81/10.20 [weight('<341,2014,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.2102.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X1,X3))),true,is_a_theorem(implies(X1,X3)),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2102.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2102]).
% 9.81/10.20 cnf('0.2104.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),X2),X3),implies(X4,X3)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.2102.2.0','0.1910.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.2104.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),X2),X3),implies(X4,X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2104.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.2104.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),X2),X3),implies(X4,X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2104.0.1']),
% 9.81/10.20 [weight('<239,2102,1910,[1,0,0,1]>')]).
% 9.81/10.20 cnf('0.2104.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),X2),X3),implies(X4,X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2104.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2104]).
% 9.81/10.20 cnf('0.2105.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.295.2.0','0.2104.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.2105.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2105.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.2105.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2105.0.1']),
% 9.81/10.20 [weight('<181,2104,295,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.2105.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2105.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2105]).
% 9.81/10.20 cnf('0.2112.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),X3)),true,is_a_theorem(implies(X1,X3)),true),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.2105.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.2112.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),X3)),true,is_a_theorem(implies(X1,X3)),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2112.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.2112.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),X3)),true,is_a_theorem(implies(X1,X3)),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2112.0.1']),
% 9.81/10.20 [weight('<271,2105,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.2112.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),X3)),true,is_a_theorem(implies(X1,X3)),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2112.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2112]).
% 9.81/10.20 cnf('0.2358.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.23.2.0','0.2014.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.2358.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(X4,implies(implies(X1,X3),X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2358.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.2358.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(X4,implies(implies(X1,X3),X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2358.0.1']),
% 9.81/10.20 [weight('<379,2014,23,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.2358.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(X4,implies(implies(X1,X3),X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2358.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2358]).
% 9.81/10.20 cnf('0.2359.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(implies(X1,X3),X3))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.124.2.0','0.2358.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.2359.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(implies(X1,X3),X3))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2359.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.2359.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(implies(X1,X3),X3))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2359.0.1']),
% 9.81/10.20 [weight('<305,2358,124,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.2359.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(implies(X1,X3),X3))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2359.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2359]).
% 9.81/10.20 cnf('0.2669.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.1910.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.3.1','L')]).
% 9.81/10.20 cnf('0.2669.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3)))),X5)),true,is_a_theorem(X5),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2669.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R.3','L')]).
% 9.81/10.20 cnf('0.2669.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3)))),X5)),true,is_a_theorem(X5),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2669.0.1']),
% 9.81/10.20 [weight('<419,1910,4,[0,0,0,7]>')]).
% 9.81/10.20 cnf('0.2669.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3)))),X5)),true,is_a_theorem(X5),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2669.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2669]).
% 9.81/10.20 cnf('0.2681.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X5,X4)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.2669.2.0','0.1994.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.2681.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X5,X4)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2681.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.2681.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X5,X4)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2681.0.1']),
% 9.81/10.20 [weight('<305,2669,1994,[1,0,0,1]>')]).
% 9.81/10.20 cnf('0.2681.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X5,X4)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2681.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2681]).
% 9.81/10.20 cnf('0.2682.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.295.2.0','0.2681.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.2682.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2682.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.2682.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2682.0.1']),
% 9.81/10.20 [weight('<239,2681,295,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.2682.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2682.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2682]).
% 9.81/10.20 cnf('0.2683.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,X2)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.2112.2.0','0.2682.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.2683.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,X2)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2683.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.2683.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,X2)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2683.0.1']),
% 9.81/10.20 [weight('<131,2682,2112,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.2683.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,X2)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2683.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2683]).
% 9.81/10.20 cnf('0.2685.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(X1,implies(X3,X2))),true),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.2683.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.2685.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(X1,implies(X3,X2))),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2685.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.2685.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(X1,implies(X3,X2))),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2685.0.1']),
% 9.81/10.20 [weight('<209,2683,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.2685.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(X1,implies(X3,X2))),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2685.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2685]).
% 9.81/10.20 cnf('0.2686.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,implies(X4,X2))))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.2685.2.0','0.2683.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.2686.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,implies(X4,X2))))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2686.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.2686.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,implies(X4,X2))))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2686.0.1']),
% 9.81/10.20 [weight('<181,2685,2683,[1,0,0,1]>')]).
% 9.81/10.20 cnf('0.2686.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,implies(X4,X2))))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2686.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2686]).
% 9.81/10.20 cnf('0.2787.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.2682.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.2787.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),X4)),true,is_a_theorem(implies(X1,X4)),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2787.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.2787.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),X4)),true,is_a_theorem(implies(X1,X4)),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2787.0.1']),
% 9.81/10.20 [weight('<341,2682,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.2787.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),X4)),true,is_a_theorem(implies(X1,X4)),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2787.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2787]).
% 9.81/10.20 cnf('0.2789.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,implies(X4,X2))))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.2787.2.0','0.2682.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.2789.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,implies(X4,X2))))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2789.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.2789.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,implies(X4,X2))))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2789.0.1']),
% 9.81/10.20 [weight('<181,2787,2682,[1,0,0,1]>')]).
% 9.81/10.20 cnf('0.2789.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,implies(X4,X2))))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2789.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2789]).
% 9.81/10.20 cnf('0.2806.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(X1,implies(X3,implies(X4,X2)))),true),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.2789.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.2806.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(X1,implies(X3,implies(X4,X2)))),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2806.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.2806.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(X1,implies(X3,implies(X4,X2)))),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2806.0.1']),
% 9.81/10.20 [weight('<271,2789,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.2806.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(X1,implies(X3,implies(X4,X2)))),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2806.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2806]).
% 9.81/10.20 cnf('0.2861.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.2683.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.3.1','L')]).
% 9.81/10.20 cnf('0.2861.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X1,implies(X3,X2))),X4)),true,is_a_theorem(X4),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.2861.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R.3','L')]).
% 9.81/10.20 cnf('0.2861.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X1,implies(X3,X2))),X4)),true,is_a_theorem(X4),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.2861.0.1']),
% 9.81/10.20 [weight('<341,2683,4,[0,0,0,7]>')]).
% 9.81/10.20 cnf('0.2861.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X1,implies(X3,X2))),X4)),true,is_a_theorem(X4),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.2861.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_2861]).
% 9.81/10.20 cnf('0.3155.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.1913.2.0','0.2686.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.3155.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),implies(X4,implies(X1,implies(X5,X2))))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.3155.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.3155.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),implies(X4,implies(X1,implies(X5,X2))))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.3155.0.1']),
% 9.81/10.20 [weight('<379,2686,1913,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.3155.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),implies(X4,implies(X1,implies(X5,X2))))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.3155.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_3155]).
% 9.81/10.20 cnf('0.3566.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.1960.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.3.1','L')]).
% 9.81/10.20 cnf('0.3566.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(implies(implies(X3,X1),X4),X4))),X5)),true,is_a_theorem(X5),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.3566.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R.3','L')]).
% 9.81/10.20 cnf('0.3566.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(implies(implies(X3,X1),X4),X4))),X5)),true,is_a_theorem(X5),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.3566.0.1']),
% 9.81/10.20 [weight('<419,1960,4,[0,0,0,7]>')]).
% 9.81/10.20 cnf('0.3566.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(implies(implies(X3,X1),X4),X4))),X5)),true,is_a_theorem(X5),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.3566.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_3566]).
% 9.81/10.20 cnf('0.3568.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.1977.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.3.1','L')]).
% 9.81/10.20 cnf('0.3568.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4)))),X5)),true,is_a_theorem(X5),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.3568.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R.3','L')]).
% 9.81/10.20 cnf('0.3568.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4)))),X5)),true,is_a_theorem(X5),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.3568.0.1']),
% 9.81/10.20 [weight('<419,1977,4,[0,0,0,7]>')]).
% 9.81/10.20 cnf('0.3568.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4)))),X5)),true,is_a_theorem(X5),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.3568.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_3568]).
% 9.81/10.20 cnf('0.3571.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.1999.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.3571.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),X1)),true,is_a_theorem(implies(implies(X1,X2),X2)),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.3571.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.3571.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),X1)),true,is_a_theorem(implies(implies(X1,X2),X2)),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.3571.0.1']),
% 9.81/10.20 [weight('<419,1999,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.3571.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),X1)),true,is_a_theorem(implies(implies(X1,X2),X2)),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.3571.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_3571]).
% 9.81/10.20 cnf('0.3664.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.4.2.0','0.2359.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.3664.0.1',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,X2),implies(implies(X1,X3),X3))),true,is_a_theorem(implies(implies(X1,X3),X3)),true) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.3664.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.3664.1.0',plain,
% 9.81/10.20 ( true = ifeq(is_a_theorem(implies(implies(X1,X2),implies(implies(X1,X3),X3))),true,is_a_theorem(implies(implies(X1,X3),X3)),true) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.3664.0.1']),
% 9.81/10.20 [weight('<419,2359,4,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.3664.2.0',plain,
% 9.81/10.20 ( ifeq(is_a_theorem(implies(implies(X1,X2),implies(implies(X1,X3),X3))),true,is_a_theorem(implies(implies(X1,X3),X3)),true) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.3664.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_3664]).
% 9.81/10.20 cnf('0.3672.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.3664.2.0','0.3155.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.3672.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X1,implies(X4,X2))),implies(X1,implies(X4,X2)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.3672.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.3672.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X1,implies(X4,X2))),implies(X1,implies(X4,X2)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.3672.0.1']),
% 9.81/10.20 [weight('<379,3664,3155,[1,0,0,1]>')]).
% 9.81/10.20 cnf('0.3672.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X1,implies(X4,X2))),implies(X1,implies(X4,X2)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.3672.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_3672]).
% 9.81/10.20 cnf('0.3673.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(X2,implies(implies(X1,X3),X4)),X3),X3))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.3566.2.0','0.3672.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.3673.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,implies(implies(X1,X3),X4)),X3),X3))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.3673.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.3673.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(implies(X2,implies(implies(X1,X3),X4)),X3),X3))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.3673.0.1']),
% 9.81/10.20 [weight('<239,3672,3566,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.3673.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(implies(implies(X2,implies(implies(X1,X3),X4)),X3),X3))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.3673.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_3673]).
% 9.81/10.20 cnf('0.3711.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.1913.2.0','0.3673.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.3711.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(implies(X3,implies(implies(X1,X4),X5)),X4),X4))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.3711.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.3711.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(implies(X3,implies(implies(X1,X4),X5)),X4),X4))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.3711.0.1']),
% 9.81/10.20 [weight('<379,3673,1913,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.3711.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(implies(X3,implies(implies(X1,X4),X5)),X4),X4))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.3711.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_3711]).
% 9.81/10.20 cnf('0.3712.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),X2),X2)),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.3664.2.0','0.3711.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.3712.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),X2),X2)) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.3712.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.3712.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),X2),X2)) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.3712.0.1']),
% 9.81/10.20 [weight('<181,3711,3664,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.3712.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),X2),X2)) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.3712.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_3712]).
% 9.81/10.20 cnf('0.3721.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),X2),implies(X4,implies(X5,X2)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.2806.2.0','0.3712.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.3721.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),X2),implies(X4,implies(X5,X2)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.3721.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.3721.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),X2),implies(X4,implies(X5,X2)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.3721.0.1']),
% 9.81/10.20 [weight('<305,3712,2806,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.3721.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),X2),implies(X4,implies(X5,X2)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.3721.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_3721]).
% 9.81/10.20 cnf('0.3722.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),implies(X4,X2)),implies(X4,X2))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.3664.2.0','0.3721.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.3722.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),implies(X4,X2)),implies(X4,X2))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.3722.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.3722.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),implies(X4,X2)),implies(X4,X2))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.3722.0.1']),
% 9.81/10.20 [weight('<305,3721,3664,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.3722.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),X3)),implies(X4,X2)),implies(X4,X2))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.3722.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_3722]).
% 9.81/10.20 cnf('0.3723.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,implies(implies(X2,X3),X4))),X3),X3)),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.2061.2.0','0.3722.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.3723.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,implies(implies(X2,X3),X4))),X3),X3)) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.3723.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.3723.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,implies(implies(X2,X3),X4))),X3),X3)) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.3723.0.1']),
% 9.81/10.20 [weight('<239,3722,2061,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.3723.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(implies(X1,implies(X2,implies(implies(X2,X3),X4))),X3),X3)) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.3723.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_3723]).
% 9.81/10.20 cnf('0.3841.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.3571.2.0','0.3723.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.3841.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(implies(X2,X1),X3))),implies(X2,implies(implies(X2,X1),X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.3841.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.3841.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,implies(X2,implies(implies(X2,X1),X3))),implies(X2,implies(implies(X2,X1),X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.3841.0.1']),
% 9.81/10.20 [weight('<379,3723,3571,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.3841.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(X1,implies(X2,implies(implies(X2,X1),X3))),implies(X2,implies(implies(X2,X1),X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.3841.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_3841]).
% 9.81/10.20 cnf('0.3843.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),X3)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.3568.2.0','0.3841.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.3843.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.3843.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.3843.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.3843.0.1']),
% 9.81/10.20 [weight('<181,3841,3568,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.3843.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.3843.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_3843]).
% 9.81/10.20 cnf('0.3863.0.0',plain,
% 9.81/10.20 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(implies(X2,implies(X1,X3)),implies(X1,X3)))),true) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.1898.2.0','0.3843.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.20 cnf('0.3863.0.1',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(X2,implies(X1,X3)),implies(X1,X3)))) ),
% 9.81/10.20 inference(reduction,[status(thm)],['0.3863.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.20 [pos('R','L')]).
% 9.81/10.20 cnf('0.3863.1.0',plain,
% 9.81/10.20 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(X2,implies(X1,X3)),implies(X1,X3)))) ),
% 9.81/10.20 inference(weigh,[status(thm)],['0.3863.0.1']),
% 9.81/10.20 [weight('<239,3843,1898,[0,0,0,1]>')]).
% 9.81/10.20 cnf('0.3863.2.0',plain,
% 9.81/10.20 ( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,implies(X1,X3)),implies(X1,X3)))) = true ),
% 9.81/10.20 inference(orient,[status(thm)],['0.3863.1.0',theory(equality)]),
% 9.81/10.20 [x,rule_3863]).
% 9.81/10.20 cnf('0.4394.0.0',plain,
% 9.81/10.20 ( 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) ),
% 9.81/10.20 inference(cp,[status(thm)],['0.2861.2.0','0.3863.2.0',theory(equality)]),
% 9.81/10.20 [pos('L.1','L')]).
% 9.81/10.21 cnf('0.4394.0.1',plain,
% 9.81/10.21 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X3),X4)),implies(implies(X1,X3),X4))) ),
% 9.81/10.21 inference(reduction,[status(thm)],['0.4394.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.21 [pos('R','L')]).
% 9.81/10.21 cnf('0.4394.1.0',plain,
% 9.81/10.21 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X3),X4)),implies(implies(X1,X3),X4))) ),
% 9.81/10.21 inference(weigh,[status(thm)],['0.4394.0.1']),
% 9.81/10.21 [weight('<379,3863,2861,[0,0,0,1]>')]).
% 9.81/10.21 cnf('0.4394.2.0',plain,
% 9.81/10.21 ( is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X3),X4)),implies(implies(X1,X3),X4))) = true ),
% 9.81/10.21 inference(orient,[status(thm)],['0.4394.1.0',theory(equality)]),
% 9.81/10.21 [x,rule_4394]).
% 9.81/10.21 cnf('0.4395.0.0',plain,
% 9.81/10.21 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,implies(X3,X2)),X4),implies(X5,X4)))),true) ),
% 9.81/10.21 inference(cp,[status(thm)],['0.2669.2.0','0.4394.2.0',theory(equality)]),
% 9.81/10.21 [pos('L.1','L')]).
% 9.81/10.21 cnf('0.4395.0.1',plain,
% 9.81/10.21 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,implies(X3,X2)),X4),implies(X5,X4)))) ),
% 9.81/10.21 inference(reduction,[status(thm)],['0.4395.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.21 [pos('R','L')]).
% 9.81/10.21 cnf('0.4395.1.0',plain,
% 9.81/10.21 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,implies(X3,X2)),X4),implies(X5,X4)))) ),
% 9.81/10.21 inference(weigh,[status(thm)],['0.4395.0.1']),
% 9.81/10.21 [weight('<305,4394,2669,[0,0,0,1]>')]).
% 9.81/10.21 cnf('0.4395.2.0',plain,
% 9.81/10.21 ( is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,implies(X3,X2)),X4),implies(X5,X4)))) = true ),
% 9.81/10.21 inference(orient,[status(thm)],['0.4395.1.0',theory(equality)]),
% 9.81/10.21 [x,rule_4395]).
% 9.81/10.21 cnf('0.4396.0.0',plain,
% 9.81/10.21 ( true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(implies(X1,X3),X4))),true) ),
% 9.81/10.21 inference(cp,[status(thm)],['0.295.2.0','0.4395.2.0',theory(equality)]),
% 9.81/10.21 [pos('L.1','L')]).
% 9.81/10.21 cnf('0.4396.0.1',plain,
% 9.81/10.21 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(implies(X1,X3),X4))) ),
% 9.81/10.21 inference(reduction,[status(thm)],['0.4396.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.21 [pos('R','L')]).
% 9.81/10.21 cnf('0.4396.1.0',plain,
% 9.81/10.21 ( true = is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(implies(X1,X3),X4))) ),
% 9.81/10.21 inference(weigh,[status(thm)],['0.4396.0.1']),
% 9.81/10.21 [weight('<239,4395,295,[0,0,0,1]>')]).
% 9.81/10.21 cnf('0.4396.2.0',plain,
% 9.81/10.21 ( is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(implies(X1,X3),X4))) = true ),
% 9.81/10.21 inference(orient,[status(thm)],['0.4396.1.0',theory(equality)]),
% 9.81/10.21 [x,rule_4396]).
% 9.81/10.21 cnf('0.4405.0.0',plain,
% 9.81/10.21 ( 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) ),
% 9.81/10.21 inference(cp,[status(thm)],['0.4.2.0','0.4396.2.0',theory(equality)]),
% 9.81/10.21 [pos('L.1','L')]).
% 9.81/10.21 cnf('0.4405.0.1',plain,
% 9.81/10.21 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,X3)),X4)),true,is_a_theorem(implies(implies(X1,X3),X4)),true) ),
% 9.81/10.21 inference(reduction,[status(thm)],['0.4405.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.21 [pos('R','L')]).
% 9.81/10.21 cnf('0.4405.1.0',plain,
% 9.81/10.21 ( true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,X3)),X4)),true,is_a_theorem(implies(implies(X1,X3),X4)),true) ),
% 9.81/10.21 inference(weigh,[status(thm)],['0.4405.0.1']),
% 9.81/10.21 [weight('<341,4396,4,[0,0,0,1]>')]).
% 9.81/10.21 cnf('0.4405.2.0',plain,
% 9.81/10.21 ( ifeq(is_a_theorem(implies(implies(X1,implies(X2,X3)),X4)),true,is_a_theorem(implies(implies(X1,X3),X4)),true) = true ),
% 9.81/10.21 inference(orient,[status(thm)],['0.4405.1.0',theory(equality)]),
% 9.81/10.21 [x,rule_4405]).
% 9.81/10.21 cnf('0.4428.0.0',plain,
% 9.81/10.21 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(implies(X2,X1),X3)),implies(X2,implies(implies(X2,X1),X3)))),true) ),
% 9.81/10.21 inference(cp,[status(thm)],['0.4405.2.0','0.3841.2.0',theory(equality)]),
% 9.81/10.21 [pos('L.1','L')]).
% 9.81/10.21 cnf('0.4428.0.1',plain,
% 9.81/10.21 ( true = is_a_theorem(implies(implies(X1,implies(implies(X2,X1),X3)),implies(X2,implies(implies(X2,X1),X3)))) ),
% 9.81/10.21 inference(reduction,[status(thm)],['0.4428.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.21 [pos('R','L')]).
% 9.81/10.21 cnf('0.4428.1.0',plain,
% 9.81/10.21 ( true = is_a_theorem(implies(implies(X1,implies(implies(X2,X1),X3)),implies(X2,implies(implies(X2,X1),X3)))) ),
% 9.81/10.21 inference(weigh,[status(thm)],['0.4428.0.1']),
% 9.81/10.21 [weight('<305,4405,3841,[1,0,0,1]>')]).
% 9.81/10.21 cnf('0.4428.2.0',plain,
% 9.81/10.21 ( is_a_theorem(implies(implies(X1,implies(implies(X2,X1),X3)),implies(X2,implies(implies(X2,X1),X3)))) = true ),
% 9.81/10.21 inference(orient,[status(thm)],['0.4428.1.0',theory(equality)]),
% 9.81/10.21 [x,rule_4428]).
% 9.81/10.21 cnf('0.4433.0.0',plain,
% 9.81/10.21 ( true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,X3))))),true) ),
% 9.81/10.21 inference(cp,[status(thm)],['0.2669.2.0','0.4428.2.0',theory(equality)]),
% 9.81/10.21 [pos('L.1','L')]).
% 9.81/10.21 cnf('0.4433.0.1',plain,
% 9.81/10.21 ( true = is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,X3))))) ),
% 9.81/10.21 inference(reduction,[status(thm)],['0.4433.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.21 [pos('R','L')]).
% 9.81/10.21 cnf('0.4433.1.0',plain,
% 9.81/10.21 ( true = is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,X3))))) ),
% 9.81/10.21 inference(weigh,[status(thm)],['0.4433.0.1']),
% 9.81/10.21 [weight('<239,4428,2669,[0,0,0,1]>')]).
% 9.81/10.21 cnf('0.4433.2.0',plain,
% 9.81/10.21 ( is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,X3))))) = true ),
% 9.81/10.21 inference(orient,[status(thm)],['0.4433.1.0',theory(equality)]),
% 9.81/10.21 [x,rule_4433]).
% 9.81/10.21 cnf('0.4434.0.0',plain,
% 9.81/10.21 ( true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),true) ),
% 9.81/10.21 inference(cp,[status(thm)],['0.1898.2.0','0.4433.2.0',theory(equality)]),
% 9.81/10.21 [pos('L.1','L')]).
% 9.81/10.21 cnf('0.4434.0.1',plain,
% 9.81/10.21 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) ),
% 9.81/10.21 inference(reduction,[status(thm)],['0.4434.0.0','0.1.2.0',theory(equality)]),
% 9.81/10.21 [pos('R','L')]).
% 9.81/10.21 cnf('0.4434.1.0',plain,
% 9.81/10.21 ( true = is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) ),
% 9.81/10.21 inference(weigh,[status(thm)],['0.4434.0.1']),
% 9.81/10.21 [weight('<181,4433,1898,[0,0,0,1]>')]).
% 9.81/10.21 cnf('0.4434.2.0',plain,
% 9.81/10.21 ( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) = true ),
% 9.81/10.21 inference(orient,[status(thm)],['0.4434.1.0',theory(equality)]),
% 9.81/10.21 [x,rule_4434]).
% 9.81/10.21 cnf('1.0.0.0',conjecture,
% 9.81/10.21 ( true = is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ),
% 9.81/10.21 file('/tmp/WALDMEISTER_7632_n026',conjecture_1)).
% 9.81/10.21 cnf('1.0.0.1',plain,
% 9.81/10.21 ( true = true ),
% 9.81/10.21 inference(reduction,[status(thm)],['1.0.0.0','0.4434.2.0',theory(equality)]),
% 9.81/10.21 [pos('R','L')]).
% 9.81/10.21 cnf('1.0.0.2',plain,
% 9.81/10.21 ( $true ),
% 9.81/10.21 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 9.81/10.21 [conjecture_1]).
% 9.81/10.21
% 9.81/10.21 Proved Goals:
% 9.81/10.21 No. 1: true ?= is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) joined, current: true = true
% 9.81/10.21 1 goal was specified, which was proved.
% 9.81/10.21 % SZS output end CNFRefutation
% 9.81/10.21 #END OF PROOF
% 9.81/10.21
% 9.81/10.21 Problem WALDMEISTER_7632_n026
% 9.81/10.21 CPs.gen 8725818
% 9.81/10.21 CPs.reexp 0
% 9.81/10.21 Select 18619
% 9.81/10.21 R 4434
% 9.81/10.21 E 0
% 9.81/10.21 vsize 11.8M
% 9.81/10.21 rss 7.3M
% 9.81/10.21 process.time 9.194s
% 9.81/10.21 wallclock.time 9.193s
% 9.81/10.21 status S
% 9.81/10.21
% 9.81/10.21
% 9.81/10.21 Waldmeister states: Goal proved.
% 9.81/10.21 % SZS status Unsatisfiable
%------------------------------------------------------------------------------