TSTP Solution File: LCL250-10 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LCL250-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.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 16:04:50 EDT 2022
% Result : Unsatisfiable 212.53s 212.91s
% Output : CNFRefutation 212.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL250-10 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 02:09:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.11 ********************************************************************************
% 0.73/1.11 * W A L D M E I S T E R \| \ / \|/ *
% 0.73/1.11 * |/ | \/ | *
% 0.73/1.11 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.73/1.11 * A. Jaeger and B. Loechner | | *
% 0.73/1.11 * <waldmeister@informatik.uni-kl.de> | *
% 0.73/1.11 ********************************************************************************
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 Goals:
% 0.73/1.11 ------
% 0.73/1.11
% 0.73/1.11 ( 1) true ?=? theorem(implies(implies(q,r),implies(and(p,q),r)))
% 0.73/1.11
% 0.73/1.11 Detected structure: Orkus
% 0.73/1.11 ********************************************************************************
% 0.73/1.11 ****************************** COMPLETION - PROOF ******************************
% 0.73/1.11 ********************************************************************************
% 0.73/1.11
% 212.53/212.91 joined goal: 1 true ?= theorem(implies(implies(q,r),implies(and(p,q),r))) to true
% 212.53/212.91 goal joined
% 212.53/212.91 % SZS status Unsatisfiable
% 212.53/212.91 #START OF PROOF
% 212.53/212.91 % SZS output start CNFRefutation
% 212.53/212.91 cnf('0.1.0.0',axiom,
% 212.53/212.91 ( X1 = ifeq(X2,X2,X1,X3) ),
% 212.53/212.91 file('/tmp/WALDMEISTER_18327_n020')).
% 212.53/212.91 cnf('0.1.1.0',plain,
% 212.53/212.91 ( X1 = ifeq(X2,X2,X1,X3) ),
% 212.53/212.91 inference(weigh,[status(thm)],['0.1.0.0']),
% 212.53/212.91 [weight('<0,0,0,[0,0,0,1]>')]).
% 212.53/212.91 cnf('0.1.2.0',plain,
% 212.53/212.91 ( ifeq(X1,X1,X2,X3) = X2 ),
% 212.53/212.91 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 212.53/212.91 [x,rule_1]).
% 212.53/212.91 cnf('0.2.0.0',axiom,
% 212.53/212.91 ( true = axiom(implies(X1,or(X2,X1))) ),
% 212.53/212.91 file('/tmp/WALDMEISTER_18327_n020')).
% 212.53/212.91 cnf('0.2.1.0',plain,
% 212.53/212.91 ( true = axiom(implies(X1,or(X2,X1))) ),
% 212.53/212.91 inference(weigh,[status(thm)],['0.2.0.0']),
% 212.53/212.91 [weight('<1,0,0,[0,0,0,2]>')]).
% 212.53/212.91 cnf('0.2.2.0',plain,
% 212.53/212.91 ( axiom(implies(X1,or(X2,X1))) = true ),
% 212.53/212.91 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 212.53/212.91 [x,rule_2]).
% 212.53/212.91 cnf('0.3.0.0',axiom,
% 212.53/212.91 ( true = axiom(implies(or(X1,X2),or(X2,X1))) ),
% 212.53/212.91 file('/tmp/WALDMEISTER_18327_n020')).
% 212.53/212.91 cnf('0.3.1.0',plain,
% 212.53/212.91 ( true = axiom(implies(or(X1,X2),or(X2,X1))) ),
% 212.53/212.91 inference(weigh,[status(thm)],['0.3.0.0']),
% 212.53/212.91 [weight('<2,0,0,[0,0,0,3]>')]).
% 212.53/212.91 cnf('0.3.2.0',plain,
% 212.53/212.91 ( axiom(implies(or(X1,X2),or(X2,X1))) = true ),
% 212.53/212.91 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 212.53/212.91 [x,rule_3]).
% 212.53/212.91 cnf('0.4.0.0',axiom,
% 212.53/212.91 ( true = axiom(implies(or(X1,X1),X1)) ),
% 212.53/212.91 file('/tmp/WALDMEISTER_18327_n020')).
% 212.53/212.91 cnf('0.4.1.0',plain,
% 212.53/212.91 ( true = axiom(implies(or(X1,X1),X1)) ),
% 212.53/212.91 inference(weigh,[status(thm)],['0.4.0.0']),
% 212.53/212.91 [weight('<3,0,0,[0,0,0,4]>')]).
% 212.53/212.91 cnf('0.4.2.0',plain,
% 212.53/212.91 ( axiom(implies(or(X1,X1),X1)) = true ),
% 212.53/212.91 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 212.53/212.91 [x,rule_4]).
% 212.53/212.91 cnf('0.5.0.0',axiom,
% 212.53/212.91 ( true = axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))) ),
% 212.53/212.91 file('/tmp/WALDMEISTER_18327_n020')).
% 212.53/212.91 cnf('0.5.1.0',plain,
% 212.53/212.91 ( true = axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))) ),
% 212.53/212.91 inference(weigh,[status(thm)],['0.5.0.0']),
% 212.53/212.91 [weight('<4,0,0,[0,0,0,5]>')]).
% 212.53/212.91 cnf('0.5.2.0',plain,
% 212.53/212.91 ( axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))) = true ),
% 212.53/212.91 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 212.53/212.91 [x,rule_5]).
% 212.53/212.91 cnf('0.6.0.0',axiom,
% 212.53/212.91 ( true = axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) ),
% 212.53/212.91 file('/tmp/WALDMEISTER_18327_n020')).
% 212.53/212.91 cnf('0.6.1.0',plain,
% 212.53/212.91 ( true = axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) ),
% 212.53/212.91 inference(weigh,[status(thm)],['0.6.0.0']),
% 212.53/212.91 [weight('<5,0,0,[0,0,0,6]>')]).
% 212.53/212.91 cnf('0.6.2.0',plain,
% 212.53/212.91 ( axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) = true ),
% 212.53/212.91 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 212.53/212.91 [x,rule_6]).
% 212.53/212.91 cnf('0.7.0.0',axiom,
% 212.53/212.91 ( true = ifeq(axiom(X1),true,theorem(X1),true) ),
% 212.53/212.91 file('/tmp/WALDMEISTER_18327_n020')).
% 212.53/212.91 cnf('0.7.1.0',plain,
% 212.53/212.91 ( true = ifeq(axiom(X1),true,theorem(X1),true) ),
% 212.53/212.91 inference(weigh,[status(thm)],['0.7.0.0']),
% 212.53/212.91 [weight('<6,0,0,[0,0,0,7]>')]).
% 212.53/212.91 cnf('0.7.2.0',plain,
% 212.53/212.91 ( ifeq(axiom(X1),true,theorem(X1),true) = true ),
% 212.53/212.91 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 212.53/212.91 [x,rule_7]).
% 212.53/212.91 cnf('0.8.0.0',axiom,
% 212.53/212.91 ( true = ifeq(theorem(implies(X1,X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) ),
% 212.53/212.91 file('/tmp/WALDMEISTER_18327_n020')).
% 212.53/212.91 cnf('0.8.1.0',plain,
% 212.53/212.91 ( true = ifeq(theorem(implies(X1,X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) ),
% 212.53/212.91 inference(weigh,[status(thm)],['0.8.0.0']),
% 212.53/212.91 [weight('<7,0,0,[0,0,0,8]>')]).
% 212.53/212.91 cnf('0.8.2.0',plain,
% 212.53/212.91 ( ifeq(theorem(implies(X1,X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) = true ),
% 212.53/212.91 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 212.53/212.91 [x,rule_8]).
% 212.53/212.91 cnf('0.9.0.0',axiom,
% 212.53/212.91 ( or(not(X1),X2) = implies(X1,X2) ),
% 212.53/212.91 file('/tmp/WALDMEISTER_18327_n020')).
% 212.53/212.91 cnf('0.9.1.0',plain,
% 212.53/212.91 ( or(not(X1),X2) = implies(X1,X2) ),
% 212.53/212.91 inference(weigh,[status(thm)],['0.9.0.0']),
% 212.53/212.91 [weight('<8,0,0,[0,0,0,9]>')]).
% 212.53/212.91 cnf('0.9.2.0',plain,
% 212.53/212.91 ( or(not(X1),X2) = implies(X1,X2) ),
% 212.53/212.91 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 212.53/212.91 [u,rule_9]).
% 212.53/212.91 cnf('0.10.0.0',axiom,
% 212.53/212.91 ( not(or(not(X1),not(X2))) = and(X1,X2) ),
% 212.53/212.91 file('/tmp/WALDMEISTER_18327_n020')).
% 212.53/212.91 cnf('0.10.1.0',plain,
% 212.53/212.91 ( not(or(not(X1),not(X2))) = and(X1,X2) ),
% 212.53/212.91 inference(weigh,[status(thm)],['0.10.0.0']),
% 212.53/212.91 [weight('<9,0,0,[0,0,0,10]>')]).
% 212.53/212.91 cnf('0.10.1.1',plain,
% 212.53/212.91 ( not(implies(X1,not(X2))) = and(X1,X2) ),
% 212.53/212.91 inference(reduction,[status(thm)],['0.10.1.0','0.9.2.0',theory(equality)]),
% 212.53/212.91 [pos('L.1','L')]).
% 212.53/212.91 cnf('0.10.2.0',plain,
% 212.53/212.91 ( not(implies(X1,not(X2))) = and(X1,X2) ),
% 212.53/212.91 inference(orient,[status(thm)],['0.10.1.1',theory(equality)]),
% 212.53/212.91 [u,rule_10]).
% 212.53/212.91 cnf('0.11.0.0',plain,
% 212.53/212.91 ( true = ifeq(true,true,theorem(implies(X1,or(X2,X1))),true) ),
% 212.53/212.91 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 212.53/212.91 [pos('L.1','L')]).
% 212.53/212.91 cnf('0.11.0.1',plain,
% 212.53/212.91 ( true = theorem(implies(X1,or(X2,X1))) ),
% 212.53/212.91 inference(reduction,[status(thm)],['0.11.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.91 [pos('R','L')]).
% 212.53/212.91 cnf('0.11.1.0',plain,
% 212.53/212.91 ( true = theorem(implies(X1,or(X2,X1))) ),
% 212.53/212.91 inference(weigh,[status(thm)],['0.11.0.1']),
% 212.53/212.91 [weight('<55,7,2,[1,0,0,1]>')]).
% 212.53/212.91 cnf('0.11.2.0',plain,
% 212.53/212.91 ( theorem(implies(X1,or(X2,X1))) = true ),
% 212.53/212.91 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 212.53/212.91 [x,rule_11]).
% 212.53/212.91 cnf('0.12.0.0',plain,
% 212.53/212.91 ( true = ifeq(true,true,theorem(implies(or(X1,X1),X1)),true) ),
% 212.53/212.91 inference(cp,[status(thm)],['0.7.2.0','0.4.2.0',theory(equality)]),
% 212.53/212.91 [pos('L.1','L')]).
% 212.53/212.91 cnf('0.12.0.1',plain,
% 212.53/212.91 ( true = theorem(implies(or(X1,X1),X1)) ),
% 212.53/212.91 inference(reduction,[status(thm)],['0.12.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.91 [pos('R','L')]).
% 212.53/212.91 cnf('0.12.1.0',plain,
% 212.53/212.91 ( true = theorem(implies(or(X1,X1),X1)) ),
% 212.53/212.91 inference(weigh,[status(thm)],['0.12.0.1']),
% 212.53/212.91 [weight('<55,7,4,[1,0,0,1]>')]).
% 212.53/212.91 cnf('0.12.2.0',plain,
% 212.53/212.91 ( theorem(implies(or(X1,X1),X1)) = true ),
% 212.53/212.91 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 212.53/212.91 [x,rule_12]).
% 212.53/212.91 cnf('0.15.0.0',plain,
% 212.53/212.91 ( implies(implies(X1,not(X2)),X3) = or(and(X1,X2),X3) ),
% 212.53/212.91 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 212.53/212.91 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.15.1.0',plain,
% 212.53/212.92 ( implies(implies(X1,not(X2)),X3) = or(and(X1,X2),X3) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.15.0.0']),
% 212.53/212.92 [weight('<83,10,9,[0,0,0,1]>')]).
% 212.53/212.92 cnf('0.15.2.0',plain,
% 212.53/212.92 ( implies(implies(X1,not(X2)),X3) = or(and(X1,X2),X3) ),
% 212.53/212.92 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 212.53/212.92 [u,rule_15]).
% 212.53/212.92 cnf('0.16.0.0',plain,
% 212.53/212.92 ( true = ifeq(true,true,theorem(implies(or(X1,X2),or(X2,X1))),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.16.0.1',plain,
% 212.53/212.92 ( true = theorem(implies(or(X1,X2),or(X2,X1))) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.16.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('0.16.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(or(X1,X2),or(X2,X1))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.16.0.1']),
% 212.53/212.92 [weight('<89,7,3,[1,0,0,1]>')]).
% 212.53/212.92 cnf('0.16.2.0',plain,
% 212.53/212.92 ( theorem(implies(or(X1,X2),or(X2,X1))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_16]).
% 212.53/212.92 cnf('0.34.0.0',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,X2),or(X2,not(X1)))) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.16.2.0','0.9.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1.1','L')]).
% 212.53/212.92 cnf('0.34.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,X2),or(X2,not(X1)))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.34.0.0']),
% 212.53/212.92 [weight('<109,16,9,[1,0,0,2]>')]).
% 212.53/212.92 cnf('0.34.2.0',plain,
% 212.53/212.92 ( theorem(implies(implies(X1,X2),or(X2,not(X1)))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_34]).
% 212.53/212.92 cnf('0.57.0.0',plain,
% 212.53/212.92 ( true = ifeq(true,true,theorem(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.57.0.1',plain,
% 212.53/212.92 ( true = theorem(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.57.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('0.57.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.57.0.1']),
% 212.53/212.92 [weight('<?,7,5,[1,0,0,1]>')]).
% 212.53/212.92 cnf('0.57.2.0',plain,
% 212.53/212.92 ( theorem(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_57]).
% 212.53/212.92 cnf('0.62.0.0',plain,
% 212.53/212.92 ( true = ifeq(true,true,ifeq(theorem(or(X1,X2)),true,theorem(or(X2,X1)),true),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.8.2.0','0.16.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.62.0.1',plain,
% 212.53/212.92 ( true = ifeq(theorem(or(X1,X2)),true,theorem(or(X2,X1)),true) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.62.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('0.62.1.0',plain,
% 212.53/212.92 ( true = ifeq(theorem(or(X1,X2)),true,theorem(or(X2,X1)),true) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.62.0.1']),
% 212.53/212.92 [weight('<155,16,8,[0,0,0,1]>')]).
% 212.53/212.92 cnf('0.62.2.0',plain,
% 212.53/212.92 ( ifeq(theorem(or(X1,X2)),true,theorem(or(X2,X1)),true) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_62]).
% 212.53/212.92 cnf('0.108.0.0',plain,
% 212.53/212.92 ( true = ifeq(true,true,theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.7.2.0','0.6.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.108.0.1',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.108.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('0.108.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.108.0.1']),
% 212.53/212.92 [weight('<?,7,6,[1,0,0,1]>')]).
% 212.53/212.92 cnf('0.108.2.0',plain,
% 212.53/212.92 ( theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_108]).
% 212.53/212.92 cnf('0.134.0.0',plain,
% 212.53/212.92 ( true = ifeq(true,true,ifeq(theorem(implies(X1,X2)),true,theorem(or(X2,not(X1))),true),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.8.2.0','0.34.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.134.0.1',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(X1,X2)),true,theorem(or(X2,not(X1))),true) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.134.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('0.134.1.0',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(X1,X2)),true,theorem(or(X2,not(X1))),true) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.134.0.1']),
% 212.53/212.92 [weight('<181,34,8,[0,0,0,1]>')]).
% 212.53/212.92 cnf('0.134.2.0',plain,
% 212.53/212.92 ( ifeq(theorem(implies(X1,X2)),true,theorem(or(X2,not(X1))),true) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.134.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_134]).
% 212.53/212.92 cnf('0.159.0.0',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(implies(X1,or(X2,X1)),X3)),true,ifeq(true,true,theorem(X3),true),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.8.2.0','0.11.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.3.1','L')]).
% 212.53/212.92 cnf('0.159.0.1',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(implies(X1,or(X2,X1)),X3)),true,theorem(X3),true) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.159.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R.3','L')]).
% 212.53/212.92 cnf('0.159.1.0',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(implies(X1,or(X2,X1)),X3)),true,theorem(X3),true) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.159.0.1']),
% 212.53/212.92 [weight('<?,11,8,[0,0,0,7]>')]).
% 212.53/212.92 cnf('0.159.2.0',plain,
% 212.53/212.92 ( ifeq(theorem(implies(implies(X1,or(X2,X1)),X3)),true,theorem(X3),true) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_159]).
% 212.53/212.92 cnf('0.160.0.0',plain,
% 212.53/212.92 ( true = ifeq(true,true,theorem(implies(or(X1,X2),or(X1,or(X3,X2)))),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.159.2.0','0.108.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.160.0.1',plain,
% 212.53/212.92 ( true = theorem(implies(or(X1,X2),or(X1,or(X3,X2)))) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.160.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('0.160.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(or(X1,X2),or(X1,or(X3,X2)))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.160.0.1']),
% 212.53/212.92 [weight('<131,159,108,[1,0,0,1]>')]).
% 212.53/212.92 cnf('0.160.2.0',plain,
% 212.53/212.92 ( theorem(implies(or(X1,X2),or(X1,or(X3,X2)))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_160]).
% 212.53/212.92 cnf('0.170.0.0',plain,
% 212.53/212.92 ( true = theorem(implies(or(X1,X2),or(X1,implies(X3,X2)))) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.160.2.0','0.9.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1.2.2','L')]).
% 212.53/212.92 cnf('0.170.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(or(X1,X2),or(X1,implies(X3,X2)))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.170.0.0']),
% 212.53/212.92 [weight('<131,160,9,[1,0,0,7]>')]).
% 212.53/212.92 cnf('0.170.2.0',plain,
% 212.53/212.92 ( theorem(implies(or(X1,X2),or(X1,implies(X3,X2)))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.170.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_170]).
% 212.53/212.92 cnf('0.210.0.0',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(implies(or(X1,X1),X1),X2)),true,ifeq(true,true,theorem(X2),true),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.8.2.0','0.12.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.3.1','L')]).
% 212.53/212.92 cnf('0.210.0.1',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(implies(or(X1,X1),X1),X2)),true,theorem(X2),true) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.210.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R.3','L')]).
% 212.53/212.92 cnf('0.210.1.0',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(implies(or(X1,X1),X1),X2)),true,theorem(X2),true) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.210.0.1']),
% 212.53/212.92 [weight('<?,12,8,[0,0,0,7]>')]).
% 212.53/212.92 cnf('0.210.2.0',plain,
% 212.53/212.92 ( ifeq(theorem(implies(implies(or(X1,X1),X1),X2)),true,theorem(X2),true) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.210.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_210]).
% 212.53/212.92 cnf('0.219.0.0',plain,
% 212.53/212.92 ( true = ifeq(true,true,theorem(implies(or(X1,or(X2,X2)),or(X1,X2))),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.210.2.0','0.108.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.219.0.1',plain,
% 212.53/212.92 ( true = theorem(implies(or(X1,or(X2,X2)),or(X1,X2))) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.219.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('0.219.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(or(X1,or(X2,X2)),or(X1,X2))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.219.0.1']),
% 212.53/212.92 [weight('<131,210,108,[1,0,0,1]>')]).
% 212.53/212.92 cnf('0.219.2.0',plain,
% 212.53/212.92 ( theorem(implies(or(X1,or(X2,X2)),or(X1,X2))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.219.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_219]).
% 212.53/212.92 cnf('0.224.0.0',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,or(X2,X2)),or(not(X1),X2))) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.219.2.0','0.9.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1.1','L')]).
% 212.53/212.92 cnf('0.224.0.1',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,or(X2,X2)),implies(X1,X2))) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.224.0.0','0.9.2.0',theory(equality)]),
% 212.53/212.92 [pos('R.1.2','L')]).
% 212.53/212.92 cnf('0.224.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,or(X2,X2)),implies(X1,X2))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.224.0.1']),
% 212.53/212.92 [weight('<131,219,9,[1,0,0,2]>')]).
% 212.53/212.92 cnf('0.224.2.0',plain,
% 212.53/212.92 ( theorem(implies(implies(X1,or(X2,X2)),implies(X1,X2))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.224.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_224]).
% 212.53/212.92 cnf('0.225.0.0',plain,
% 212.53/212.92 ( true = ifeq(true,true,theorem(implies(X1,X1)),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.159.2.0','0.224.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.225.0.1',plain,
% 212.53/212.92 ( true = theorem(implies(X1,X1)) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.225.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('0.225.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(X1,X1)) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.225.0.1']),
% 212.53/212.92 [weight('<29,224,159,[0,0,0,1]>')]).
% 212.53/212.92 cnf('0.225.2.0',plain,
% 212.53/212.92 ( theorem(implies(X1,X1)) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.225.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_225]).
% 212.53/212.92 cnf('0.226.0.0',plain,
% 212.53/212.92 ( true = ifeq(true,true,theorem(or(X1,not(X1))),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.134.2.0','0.225.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.226.0.1',plain,
% 212.53/212.92 ( true = theorem(or(X1,not(X1))) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.226.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('0.226.1.0',plain,
% 212.53/212.92 ( true = theorem(or(X1,not(X1))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.226.0.1']),
% 212.53/212.92 [weight('<41,225,134,[0,0,0,1]>')]).
% 212.53/212.92 cnf('0.226.2.0',plain,
% 212.53/212.92 ( theorem(or(X1,not(X1))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.226.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_226]).
% 212.53/212.92 cnf('0.229.0.0',plain,
% 212.53/212.92 ( true = theorem(implies(X1,not(not(X1)))) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.226.2.0','0.9.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.229.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(X1,not(not(X1)))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.229.0.0']),
% 212.53/212.92 [weight('<55,226,9,[1,0,0,1]>')]).
% 212.53/212.92 cnf('0.229.2.0',plain,
% 212.53/212.92 ( theorem(implies(X1,not(not(X1)))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.229.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_229]).
% 212.53/212.92 cnf('0.887.0.0',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,or(X2,X3)),or(X2,or(not(X1),X3)))) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.57.2.0','0.9.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1.1','L')]).
% 212.53/212.92 cnf('0.887.0.1',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3)))) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.887.0.0','0.9.2.0',theory(equality)]),
% 212.53/212.92 [pos('R.1.2.2','L')]).
% 212.53/212.92 cnf('0.887.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3)))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.887.0.1']),
% 212.53/212.92 [weight('<181,57,9,[1,0,0,2]>')]).
% 212.53/212.92 cnf('0.887.2.0',plain,
% 212.53/212.92 ( theorem(implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3)))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.887.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_887]).
% 212.53/212.92 cnf('0.1288.0.0',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(or(X1,not(X1)),X2)),true,ifeq(true,true,theorem(X2),true),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.8.2.0','0.226.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.3.1','L')]).
% 212.53/212.92 cnf('0.1288.0.1',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(or(X1,not(X1)),X2)),true,theorem(X2),true) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.1288.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R.3','L')]).
% 212.53/212.92 cnf('0.1288.1.0',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(or(X1,not(X1)),X2)),true,theorem(X2),true) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.1288.0.1']),
% 212.53/212.92 [weight('<181,226,8,[0,0,0,7]>')]).
% 212.53/212.92 cnf('0.1288.2.0',plain,
% 212.53/212.92 ( ifeq(theorem(implies(or(X1,not(X1)),X2)),true,theorem(X2),true) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.1288.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_1288]).
% 212.53/212.92 cnf('0.1290.0.0',plain,
% 212.53/212.92 ( true = ifeq(true,true,theorem(or(X1,implies(X2,not(X1)))),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.1288.2.0','0.170.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.1290.0.1',plain,
% 212.53/212.92 ( true = theorem(or(X1,implies(X2,not(X1)))) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.1290.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('0.1290.1.0',plain,
% 212.53/212.92 ( true = theorem(or(X1,implies(X2,not(X1)))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.1290.0.1']),
% 212.53/212.92 [weight('<71,1288,170,[1,0,0,1]>')]).
% 212.53/212.92 cnf('0.1290.2.0',plain,
% 212.53/212.92 ( theorem(or(X1,implies(X2,not(X1)))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.1290.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_1290]).
% 212.53/212.92 cnf('0.1449.0.0',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(implies(X1,not(not(X1))),X2)),true,ifeq(true,true,theorem(X2),true),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.8.2.0','0.229.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.3.1','L')]).
% 212.53/212.92 cnf('0.1449.0.1',plain,
% 212.53/212.92 ( true = ifeq(theorem(or(and(X1,not(X1)),X2)),true,ifeq(true,true,theorem(X2),true),true) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.1449.0.0','0.15.2.0',theory(equality)]),
% 212.53/212.92 [pos('R.1.1','L')]).
% 212.53/212.92 cnf('0.1449.0.2',plain,
% 212.53/212.92 ( true = ifeq(theorem(or(and(X1,not(X1)),X2)),true,theorem(X2),true) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.1449.0.1','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R.3','L')]).
% 212.53/212.92 cnf('0.1449.1.0',plain,
% 212.53/212.92 ( true = ifeq(theorem(or(and(X1,not(X1)),X2)),true,theorem(X2),true) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.1449.0.2']),
% 212.53/212.92 [weight('<181,229,8,[0,0,0,7]>')]).
% 212.53/212.92 cnf('0.1449.2.0',plain,
% 212.53/212.92 ( ifeq(theorem(or(and(X1,not(X1)),X2)),true,theorem(X2),true) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.1449.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_1449]).
% 212.53/212.92 cnf('0.2290.0.0',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,implies(X2,X3)),or(not(X2),implies(X1,X3)))) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.887.2.0','0.9.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1.1.2','L')]).
% 212.53/212.92 cnf('0.2290.0.1',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.2290.0.0','0.9.2.0',theory(equality)]),
% 212.53/212.92 [pos('R.1.2','L')]).
% 212.53/212.92 cnf('0.2290.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.2290.0.1']),
% 212.53/212.92 [weight('<181,887,9,[1,0,0,4]>')]).
% 212.53/212.92 cnf('0.2290.2.0',plain,
% 212.53/212.92 ( theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.2290.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_2290]).
% 212.53/212.92 cnf('0.4275.0.0',plain,
% 212.53/212.92 ( true = theorem(or(and(X1,X2),implies(or(X3,X1),or(X3,not(X2))))) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.108.2.0','0.15.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.4275.1.0',plain,
% 212.53/212.92 ( true = theorem(or(and(X1,X2),implies(or(X3,X1),or(X3,not(X2))))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.4275.0.0']),
% 212.53/212.92 [weight('<209,108,15,[1,0,0,1]>')]).
% 212.53/212.92 cnf('0.4275.2.0',plain,
% 212.53/212.92 ( theorem(or(and(X1,X2),implies(or(X3,X1),or(X3,not(X2))))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.4275.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_4275]).
% 212.53/212.92 cnf('0.4276.0.0',plain,
% 212.53/212.92 ( true = ifeq(true,true,theorem(implies(or(X1,X2),or(X1,not(not(X2))))),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.1449.2.0','0.4275.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.4276.0.1',plain,
% 212.53/212.92 ( true = theorem(implies(or(X1,X2),or(X1,not(not(X2))))) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.4276.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('0.4276.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(or(X1,X2),or(X1,not(not(X2))))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.4276.0.1']),
% 212.53/212.92 [weight('<131,4275,1449,[0,0,0,1]>')]).
% 212.53/212.92 cnf('0.4276.2.0',plain,
% 212.53/212.92 ( theorem(implies(or(X1,X2),or(X1,not(not(X2))))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.4276.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_4276]).
% 212.53/212.92 cnf('0.15522.0.0',plain,
% 212.53/212.92 ( true = ifeq(true,true,ifeq(theorem(or(X1,X2)),true,theorem(or(X1,not(not(X2)))),true),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.8.2.0','0.4276.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.15522.0.1',plain,
% 212.53/212.92 ( true = ifeq(theorem(or(X1,X2)),true,theorem(or(X1,not(not(X2)))),true) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.15522.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('0.15522.1.0',plain,
% 212.53/212.92 ( true = ifeq(theorem(or(X1,X2)),true,theorem(or(X1,not(not(X2)))),true) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.15522.0.1']),
% 212.53/212.92 [weight('<209,4276,8,[0,0,0,1]>')]).
% 212.53/212.92 cnf('0.15522.2.0',plain,
% 212.53/212.92 ( ifeq(theorem(or(X1,X2)),true,theorem(or(X1,not(not(X2)))),true) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.15522.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_15522]).
% 212.53/212.92 cnf('0.15523.0.0',plain,
% 212.53/212.92 ( true = ifeq(true,true,theorem(or(X1,not(not(implies(X2,not(X1)))))),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.15522.2.0','0.1290.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.15523.0.1',plain,
% 212.53/212.92 ( true = theorem(or(X1,not(not(implies(X2,not(X1)))))) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.15523.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('0.15523.0.2',plain,
% 212.53/212.92 ( true = theorem(or(X1,not(and(X2,X1)))) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.15523.0.1','0.10.2.0',theory(equality)]),
% 212.53/212.92 [pos('R.1.2.1','L')]).
% 212.53/212.92 cnf('0.15523.1.0',plain,
% 212.53/212.92 ( true = theorem(or(X1,not(and(X2,X1)))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.15523.0.2']),
% 212.53/212.92 [weight('<71,15522,1290,[1,0,0,1]>')]).
% 212.53/212.92 cnf('0.15523.2.0',plain,
% 212.53/212.92 ( theorem(or(X1,not(and(X2,X1)))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.15523.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_15523]).
% 212.53/212.92 cnf('0.15524.0.0',plain,
% 212.53/212.92 ( true = ifeq(true,true,theorem(or(not(and(X1,X2)),X2)),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.62.2.0','0.15523.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.15524.0.1',plain,
% 212.53/212.92 ( true = theorem(or(not(and(X1,X2)),X2)) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.15524.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('0.15524.0.2',plain,
% 212.53/212.92 ( true = theorem(implies(and(X1,X2),X2)) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.15524.0.1','0.9.2.0',theory(equality)]),
% 212.53/212.92 [pos('R.1','L')]).
% 212.53/212.92 cnf('0.15524.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(and(X1,X2),X2)) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.15524.0.2']),
% 212.53/212.92 [weight('<55,15523,62,[0,0,0,1]>')]).
% 212.53/212.92 cnf('0.15524.2.0',plain,
% 212.53/212.92 ( theorem(implies(and(X1,X2),X2)) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.15524.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_15524]).
% 212.53/212.92 cnf('0.15612.0.0',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))),X4)),true,ifeq(true,true,theorem(X4),true),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.8.2.0','0.108.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.3.1','L')]).
% 212.53/212.92 cnf('0.15612.0.1',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))),X4)),true,theorem(X4),true) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.15612.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R.3','L')]).
% 212.53/212.92 cnf('0.15612.1.0',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))),X4)),true,theorem(X4),true) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.15612.0.1']),
% 212.53/212.92 [weight('<?,108,8,[0,0,0,7]>')]).
% 212.53/212.92 cnf('0.15612.2.0',plain,
% 212.53/212.92 ( ifeq(theorem(implies(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))),X4)),true,theorem(X4),true) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.15612.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_15612]).
% 212.53/212.92 cnf('0.18813.0.0',plain,
% 212.53/212.92 ( true = ifeq(true,true,theorem(implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3)))),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.15612.2.0','0.2290.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.18813.0.1',plain,
% 212.53/212.92 ( true = theorem(implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3)))) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.18813.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('0.18813.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3)))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.18813.0.1']),
% 212.53/212.92 [weight('<181,15612,2290,[1,0,0,1]>')]).
% 212.53/212.92 cnf('0.18813.2.0',plain,
% 212.53/212.92 ( theorem(implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3)))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.18813.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_18813]).
% 212.53/212.92 cnf('0.23739.0.0',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,X2),implies(implies(X2,X3),or(not(X1),X3)))) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.18813.2.0','0.9.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1.1','L')]).
% 212.53/212.92 cnf('0.23739.0.1',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.23739.0.0','0.9.2.0',theory(equality)]),
% 212.53/212.92 [pos('R.1.2.2','L')]).
% 212.53/212.92 cnf('0.23739.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.23739.0.1']),
% 212.53/212.92 [weight('<181,18813,9,[1,0,0,2]>')]).
% 212.53/212.92 cnf('0.23739.2.0',plain,
% 212.53/212.92 ( theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.23739.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_23739]).
% 212.53/212.92 cnf('0.48113.0.0',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(implies(and(X1,X2),X2),X3)),true,ifeq(true,true,theorem(X3),true),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.8.2.0','0.15524.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.3.1','L')]).
% 212.53/212.92 cnf('0.48113.0.1',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(implies(and(X1,X2),X2),X3)),true,theorem(X3),true) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.48113.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R.3','L')]).
% 212.53/212.92 cnf('0.48113.1.0',plain,
% 212.53/212.92 ( true = ifeq(theorem(implies(implies(and(X1,X2),X2),X3)),true,theorem(X3),true) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.48113.0.1']),
% 212.53/212.92 [weight('<209,15524,8,[0,0,0,7]>')]).
% 212.53/212.92 cnf('0.48113.2.0',plain,
% 212.53/212.92 ( ifeq(theorem(implies(implies(and(X1,X2),X2),X3)),true,theorem(X3),true) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.48113.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_48113]).
% 212.53/212.92 cnf('0.48117.0.0',plain,
% 212.53/212.92 ( true = ifeq(true,true,theorem(implies(implies(X1,X2),implies(and(X3,X1),X2))),true) ),
% 212.53/212.92 inference(cp,[status(thm)],['0.48113.2.0','0.23739.2.0',theory(equality)]),
% 212.53/212.92 [pos('L.1','L')]).
% 212.53/212.92 cnf('0.48117.0.1',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,X2),implies(and(X3,X1),X2))) ),
% 212.53/212.92 inference(reduction,[status(thm)],['0.48117.0.0','0.1.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('0.48117.1.0',plain,
% 212.53/212.92 ( true = theorem(implies(implies(X1,X2),implies(and(X3,X1),X2))) ),
% 212.53/212.92 inference(weigh,[status(thm)],['0.48117.0.1']),
% 212.53/212.92 [weight('<131,48113,23739,[1,0,0,1]>')]).
% 212.53/212.92 cnf('0.48117.2.0',plain,
% 212.53/212.92 ( theorem(implies(implies(X1,X2),implies(and(X3,X1),X2))) = true ),
% 212.53/212.92 inference(orient,[status(thm)],['0.48117.1.0',theory(equality)]),
% 212.53/212.92 [x,rule_48117]).
% 212.53/212.92 cnf('1.0.0.0',conjecture,
% 212.53/212.92 ( true = theorem(implies(implies(q,r),implies(and(p,q),r))) ),
% 212.53/212.92 file('/tmp/WALDMEISTER_18327_n020',conjecture_1)).
% 212.53/212.92 cnf('1.0.0.1',plain,
% 212.53/212.92 ( true = true ),
% 212.53/212.92 inference(reduction,[status(thm)],['1.0.0.0','0.48117.2.0',theory(equality)]),
% 212.53/212.92 [pos('R','L')]).
% 212.53/212.92 cnf('1.0.0.2',plain,
% 212.53/212.92 ( $true ),
% 212.53/212.92 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 212.53/212.92 [conjecture_1]).
% 212.53/212.92
% 212.53/212.92 Proved Goals:
% 212.53/212.92 No. 1: true ?= theorem(implies(implies(q,r),implies(and(p,q),r))) joined, current: true = true
% 212.53/212.92 1 goal was specified, which was proved.
% 212.53/212.92 % SZS output end CNFRefutation
% 212.53/212.92 #END OF PROOF
% 212.53/212.92
% 212.53/212.92 Problem WALDMEISTER_18327_n020
% 212.53/212.92 CPs.gen 121862393
% 212.53/212.92 CPs.reexp 0
% 212.53/212.92 Select 127314
% 212.53/212.92 R 48117
% 212.53/212.92 E 0
% 212.53/212.92 vsize 41.4M
% 212.53/212.92 rss 39.2M
% 212.53/212.92 process.time 211.790s
% 212.53/212.92 wallclock.time 211.809s
% 212.53/212.92 status S
% 212.53/212.92
% 212.53/212.92
% 212.53/212.92 Waldmeister states: Goal proved.
% 212.53/212.92 % SZS status Unsatisfiable
%------------------------------------------------------------------------------