TSTP Solution File: LCL225-10 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LCL225-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n011.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 16:04:33 EDT 2022
% Result : Unsatisfiable 237.95s 238.36s
% Output : CNFRefutation 237.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL225-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 2 11:35:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.61/0.99 ********************************************************************************
% 0.61/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.61/0.99 * |/ | \/ | *
% 0.61/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.61/0.99 * A. Jaeger and B. Loechner | | *
% 0.61/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.61/0.99 ********************************************************************************
% 0.61/0.99
% 0.61/0.99
% 0.61/0.99 Goals:
% 0.61/0.99 ------
% 0.61/0.99
% 0.61/0.99 ( 1) true ?=? theorem(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r))))
% 0.61/0.99
% 0.61/0.99 Detected structure: Orkus
% 0.61/0.99 ********************************************************************************
% 0.61/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.61/0.99 ********************************************************************************
% 0.61/0.99
% 237.95/238.36 joined goal: 1 true ?= theorem(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))) to true
% 237.95/238.36 goal joined
% 237.95/238.36 % SZS status Unsatisfiable
% 237.95/238.36 #START OF PROOF
% 237.95/238.36 % SZS output start CNFRefutation
% 237.95/238.36 cnf('0.1.0.0',axiom,
% 237.95/238.36 ( X1 = ifeq(X2,X2,X1,X3) ),
% 237.95/238.36 file('/tmp/WALDMEISTER_17750_n011')).
% 237.95/238.36 cnf('0.1.1.0',plain,
% 237.95/238.36 ( X1 = ifeq(X2,X2,X1,X3) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.1.0.0']),
% 237.95/238.36 [weight('<0,0,0,[0,0,0,1]>')]).
% 237.95/238.36 cnf('0.1.2.0',plain,
% 237.95/238.36 ( ifeq(X1,X1,X2,X3) = X2 ),
% 237.95/238.36 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_1]).
% 237.95/238.36 cnf('0.2.0.0',axiom,
% 237.95/238.36 ( true = axiom(or(not(X1),or(X2,X1))) ),
% 237.95/238.36 file('/tmp/WALDMEISTER_17750_n011')).
% 237.95/238.36 cnf('0.2.1.0',plain,
% 237.95/238.36 ( true = axiom(or(not(X1),or(X2,X1))) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.2.0.0']),
% 237.95/238.36 [weight('<1,0,0,[0,0,0,2]>')]).
% 237.95/238.36 cnf('0.2.2.0',plain,
% 237.95/238.36 ( axiom(or(not(X1),or(X2,X1))) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_2]).
% 237.95/238.36 cnf('0.3.0.0',axiom,
% 237.95/238.36 ( true = axiom(or(not(or(X1,X2)),or(X2,X1))) ),
% 237.95/238.36 file('/tmp/WALDMEISTER_17750_n011')).
% 237.95/238.36 cnf('0.3.1.0',plain,
% 237.95/238.36 ( true = axiom(or(not(or(X1,X2)),or(X2,X1))) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.3.0.0']),
% 237.95/238.36 [weight('<2,0,0,[0,0,0,3]>')]).
% 237.95/238.36 cnf('0.3.2.0',plain,
% 237.95/238.36 ( axiom(or(not(or(X1,X2)),or(X2,X1))) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_3]).
% 237.95/238.36 cnf('0.4.0.0',axiom,
% 237.95/238.36 ( true = axiom(or(not(or(X1,X1)),X1)) ),
% 237.95/238.36 file('/tmp/WALDMEISTER_17750_n011')).
% 237.95/238.36 cnf('0.4.1.0',plain,
% 237.95/238.36 ( true = axiom(or(not(or(X1,X1)),X1)) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.4.0.0']),
% 237.95/238.36 [weight('<3,0,0,[0,0,0,4]>')]).
% 237.95/238.36 cnf('0.4.2.0',plain,
% 237.95/238.36 ( axiom(or(not(or(X1,X1)),X1)) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_4]).
% 237.95/238.36 cnf('0.5.0.0',axiom,
% 237.95/238.36 ( true = axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))) ),
% 237.95/238.36 file('/tmp/WALDMEISTER_17750_n011')).
% 237.95/238.36 cnf('0.5.1.0',plain,
% 237.95/238.36 ( true = axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.5.0.0']),
% 237.95/238.36 [weight('<4,0,0,[0,0,0,5]>')]).
% 237.95/238.36 cnf('0.5.2.0',plain,
% 237.95/238.36 ( axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_5]).
% 237.95/238.36 cnf('0.6.0.0',axiom,
% 237.95/238.36 ( true = axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))) ),
% 237.95/238.36 file('/tmp/WALDMEISTER_17750_n011')).
% 237.95/238.36 cnf('0.6.1.0',plain,
% 237.95/238.36 ( true = axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.6.0.0']),
% 237.95/238.36 [weight('<5,0,0,[0,0,0,6]>')]).
% 237.95/238.36 cnf('0.6.2.0',plain,
% 237.95/238.36 ( axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_6]).
% 237.95/238.36 cnf('0.7.0.0',axiom,
% 237.95/238.36 ( true = ifeq(axiom(X1),true,theorem(X1),true) ),
% 237.95/238.36 file('/tmp/WALDMEISTER_17750_n011')).
% 237.95/238.36 cnf('0.7.1.0',plain,
% 237.95/238.36 ( true = ifeq(axiom(X1),true,theorem(X1),true) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.7.0.0']),
% 237.95/238.36 [weight('<6,0,0,[0,0,0,7]>')]).
% 237.95/238.36 cnf('0.7.2.0',plain,
% 237.95/238.36 ( ifeq(axiom(X1),true,theorem(X1),true) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_7]).
% 237.95/238.36 cnf('0.8.0.0',axiom,
% 237.95/238.36 ( true = ifeq(theorem(X1),true,ifeq(axiom(or(not(X1),X2)),true,theorem(X2),true),true) ),
% 237.95/238.36 file('/tmp/WALDMEISTER_17750_n011')).
% 237.95/238.36 cnf('0.8.1.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(X1),true,ifeq(axiom(or(not(X1),X2)),true,theorem(X2),true),true) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.8.0.0']),
% 237.95/238.36 [weight('<7,0,0,[0,0,0,8]>')]).
% 237.95/238.36 cnf('0.8.2.0',plain,
% 237.95/238.36 ( ifeq(theorem(X1),true,ifeq(axiom(or(not(X1),X2)),true,theorem(X2),true),true) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_8]).
% 237.95/238.36 cnf('0.9.0.0',axiom,
% 237.95/238.36 ( true = ifeq(theorem(or(not(X1),X2)),true,ifeq(axiom(or(not(X3),X1)),true,theorem(or(not(X3),X2)),true),true) ),
% 237.95/238.36 file('/tmp/WALDMEISTER_17750_n011')).
% 237.95/238.36 cnf('0.9.1.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(not(X1),X2)),true,ifeq(axiom(or(not(X3),X1)),true,theorem(or(not(X3),X2)),true),true) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.9.0.0']),
% 237.95/238.36 [weight('<8,0,0,[0,0,0,9]>')]).
% 237.95/238.36 cnf('0.9.2.0',plain,
% 237.95/238.36 ( ifeq(theorem(or(not(X1),X2)),true,ifeq(axiom(or(not(X3),X1)),true,theorem(or(not(X3),X2)),true),true) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_9]).
% 237.95/238.36 cnf('0.12.0.0',plain,
% 237.95/238.36 ( true = ifeq(true,true,theorem(or(not(or(X1,X2)),or(X2,X1))),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.1','L')]).
% 237.95/238.36 cnf('0.12.0.1',plain,
% 237.95/238.36 ( true = theorem(or(not(or(X1,X2)),or(X2,X1))) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.12.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R','L')]).
% 237.95/238.36 cnf('0.12.1.0',plain,
% 237.95/238.36 ( true = theorem(or(not(or(X1,X2)),or(X2,X1))) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.12.0.1']),
% 237.95/238.36 [weight('<109,7,3,[1,0,0,1]>')]).
% 237.95/238.36 cnf('0.12.2.0',plain,
% 237.95/238.36 ( theorem(or(not(or(X1,X2)),or(X2,X1))) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_12]).
% 237.95/238.36 cnf('0.13.0.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(X1),true,ifeq(true,true,theorem(or(X2,X1)),true),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.3.1','L')]).
% 237.95/238.36 cnf('0.13.0.1',plain,
% 237.95/238.36 ( true = ifeq(theorem(X1),true,theorem(or(X2,X1)),true) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.13.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R.3','L')]).
% 237.95/238.36 cnf('0.13.1.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(X1),true,theorem(or(X2,X1)),true) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.13.0.1']),
% 237.95/238.36 [weight('<109,8,2,[1,0,0,5]>')]).
% 237.95/238.36 cnf('0.13.2.0',plain,
% 237.95/238.36 ( ifeq(theorem(X1),true,theorem(or(X2,X1)),true) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_13]).
% 237.95/238.36 cnf('0.15.0.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(X1,X1)),true,ifeq(true,true,theorem(X1),true),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.8.2.0','0.4.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.3.1','L')]).
% 237.95/238.36 cnf('0.15.0.1',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(X1,X1)),true,theorem(X1),true) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.15.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R.3','L')]).
% 237.95/238.36 cnf('0.15.1.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(X1,X1)),true,theorem(X1),true) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.15.0.1']),
% 237.95/238.36 [weight('<109,8,4,[1,0,0,5]>')]).
% 237.95/238.36 cnf('0.15.2.0',plain,
% 237.95/238.36 ( ifeq(theorem(or(X1,X1)),true,theorem(X1),true) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_15]).
% 237.95/238.36 cnf('0.19.0.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(X1,X2)),true,ifeq(true,true,theorem(or(X2,X1)),true),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.8.2.0','0.3.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.3.1','L')]).
% 237.95/238.36 cnf('0.19.0.1',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(X1,X2)),true,theorem(or(X2,X1)),true) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.19.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R.3','L')]).
% 237.95/238.36 cnf('0.19.1.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(X1,X2)),true,theorem(or(X2,X1)),true) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.19.0.1']),
% 237.95/238.36 [weight('<155,8,3,[1,0,0,5]>')]).
% 237.95/238.36 cnf('0.19.2.0',plain,
% 237.95/238.36 ( ifeq(theorem(or(X1,X2)),true,theorem(or(X2,X1)),true) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_19]).
% 237.95/238.36 cnf('0.103.0.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(X1,or(X2,X3))),true,ifeq(true,true,theorem(or(X2,or(X1,X3))),true),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.8.2.0','0.5.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.3.1','L')]).
% 237.95/238.36 cnf('0.103.0.1',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(X1,or(X2,X3))),true,theorem(or(X2,or(X1,X3))),true) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.103.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R.3','L')]).
% 237.95/238.36 cnf('0.103.1.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(X1,or(X2,X3))),true,theorem(or(X2,or(X1,X3))),true) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.103.0.1']),
% 237.95/238.36 [weight('<271,8,5,[1,0,0,5]>')]).
% 237.95/238.36 cnf('0.103.2.0',plain,
% 237.95/238.36 ( ifeq(theorem(or(X1,or(X2,X3))),true,theorem(or(X2,or(X1,X3))),true) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_103]).
% 237.95/238.36 cnf('0.108.0.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(not(X1),X2)),true,ifeq(true,true,theorem(or(not(or(X3,X1)),or(X3,X2))),true),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.8.2.0','0.6.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.3.1','L')]).
% 237.95/238.36 cnf('0.108.0.1',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(not(X1),X2)),true,theorem(or(not(or(X3,X1)),or(X3,X2))),true) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.108.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R.3','L')]).
% 237.95/238.36 cnf('0.108.1.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(not(X1),X2)),true,theorem(or(not(or(X3,X1)),or(X3,X2))),true) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.108.0.1']),
% 237.95/238.36 [weight('<?,8,6,[1,0,0,5]>')]).
% 237.95/238.36 cnf('0.108.2.0',plain,
% 237.95/238.36 ( ifeq(theorem(or(not(X1),X2)),true,theorem(or(not(or(X3,X1)),or(X3,X2))),true) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_108]).
% 237.95/238.36 cnf('0.159.0.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(not(or(X1,X2)),X3)),true,ifeq(true,true,theorem(or(not(X2),X3)),true),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.9.2.0','0.2.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.3.1','L')]).
% 237.95/238.36 cnf('0.159.0.1',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(not(or(X1,X2)),X3)),true,theorem(or(not(X2),X3)),true) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.159.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R.3','L')]).
% 237.95/238.36 cnf('0.159.1.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(not(or(X1,X2)),X3)),true,theorem(or(not(X2),X3)),true) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.159.0.1']),
% 237.95/238.36 [weight('<?,9,2,[1,0,0,8]>')]).
% 237.95/238.36 cnf('0.159.2.0',plain,
% 237.95/238.36 ( ifeq(theorem(or(not(or(X1,X2)),X3)),true,theorem(or(not(X2),X3)),true) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_159]).
% 237.95/238.36 cnf('0.160.0.0',plain,
% 237.95/238.36 ( true = ifeq(true,true,theorem(or(not(X1),or(X1,X2))),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.159.2.0','0.12.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.1','L')]).
% 237.95/238.36 cnf('0.160.0.1',plain,
% 237.95/238.36 ( true = theorem(or(not(X1),or(X1,X2))) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.160.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R','L')]).
% 237.95/238.36 cnf('0.160.1.0',plain,
% 237.95/238.36 ( true = theorem(or(not(X1),or(X1,X2))) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.160.0.1']),
% 237.95/238.36 [weight('<71,159,12,[1,0,0,1]>')]).
% 237.95/238.36 cnf('0.160.2.0',plain,
% 237.95/238.36 ( theorem(or(not(X1),or(X1,X2))) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_160]).
% 237.95/238.36 cnf('0.210.0.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(not(or(X1,X2)),X3)),true,ifeq(true,true,theorem(or(not(or(X2,X1)),X3)),true),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.3.1','L')]).
% 237.95/238.36 cnf('0.210.0.1',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(not(or(X1,X2)),X3)),true,theorem(or(not(or(X2,X1)),X3)),true) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.210.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R.3','L')]).
% 237.95/238.36 cnf('0.210.1.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(not(or(X1,X2)),X3)),true,theorem(or(not(or(X2,X1)),X3)),true) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.210.0.1']),
% 237.95/238.36 [weight('<?,9,3,[1,0,0,8]>')]).
% 237.95/238.36 cnf('0.210.2.0',plain,
% 237.95/238.36 ( ifeq(theorem(or(not(or(X1,X2)),X3)),true,theorem(or(not(or(X2,X1)),X3)),true) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.210.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_210]).
% 237.95/238.36 cnf('0.229.0.0',plain,
% 237.95/238.36 ( true = ifeq(true,true,theorem(or(not(or(X1,X2)),or(X1,or(X2,X3)))),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.108.2.0','0.160.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.1','L')]).
% 237.95/238.36 cnf('0.229.0.1',plain,
% 237.95/238.36 ( true = theorem(or(not(or(X1,X2)),or(X1,or(X2,X3)))) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.229.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R','L')]).
% 237.95/238.36 cnf('0.229.1.0',plain,
% 237.95/238.36 ( true = theorem(or(not(or(X1,X2)),or(X1,or(X2,X3)))) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.229.0.1']),
% 237.95/238.36 [weight('<155,160,108,[0,0,0,1]>')]).
% 237.95/238.36 cnf('0.229.2.0',plain,
% 237.95/238.36 ( theorem(or(not(or(X1,X2)),or(X1,or(X2,X3)))) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.229.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_229]).
% 237.95/238.36 cnf('0.312.0.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(not(or(X1,or(X2,X3))),X4)),true,ifeq(true,true,theorem(or(not(or(X2,or(X1,X3))),X4)),true),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.9.2.0','0.5.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.3.1','L')]).
% 237.95/238.36 cnf('0.312.0.1',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(not(or(X1,or(X2,X3))),X4)),true,theorem(or(not(or(X2,or(X1,X3))),X4)),true) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.312.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R.3','L')]).
% 237.95/238.36 cnf('0.312.1.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(not(or(X1,or(X2,X3))),X4)),true,theorem(or(not(or(X2,or(X1,X3))),X4)),true) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.312.0.1']),
% 237.95/238.36 [weight('<?,9,5,[1,0,0,8]>')]).
% 237.95/238.36 cnf('0.312.2.0',plain,
% 237.95/238.36 ( ifeq(theorem(or(not(or(X1,or(X2,X3))),X4)),true,theorem(or(not(or(X2,or(X1,X3))),X4)),true) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.312.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_312]).
% 237.95/238.36 cnf('0.319.0.0',plain,
% 237.95/238.36 ( true = ifeq(true,true,theorem(or(X1,or(not(or(X1,X2)),or(X2,X3)))),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.103.2.0','0.229.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.1','L')]).
% 237.95/238.36 cnf('0.319.0.1',plain,
% 237.95/238.36 ( true = theorem(or(X1,or(not(or(X1,X2)),or(X2,X3)))) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.319.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R','L')]).
% 237.95/238.36 cnf('0.319.1.0',plain,
% 237.95/238.36 ( true = theorem(or(X1,or(not(or(X1,X2)),or(X2,X3)))) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.319.0.1']),
% 237.95/238.36 [weight('<155,229,103,[0,0,0,1]>')]).
% 237.95/238.36 cnf('0.319.2.0',plain,
% 237.95/238.36 ( theorem(or(X1,or(not(or(X1,X2)),or(X2,X3)))) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.319.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_319]).
% 237.95/238.36 cnf('0.363.0.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(not(or(not(or(X1,X2)),or(X1,X3))),X4)),true,ifeq(true,true,theorem(or(not(or(not(X2),X3)),X4)),true),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.9.2.0','0.6.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.3.1','L')]).
% 237.95/238.36 cnf('0.363.0.1',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(not(or(not(or(X1,X2)),or(X1,X3))),X4)),true,theorem(or(not(or(not(X2),X3)),X4)),true) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.363.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R.3','L')]).
% 237.95/238.36 cnf('0.363.1.0',plain,
% 237.95/238.36 ( true = ifeq(theorem(or(not(or(not(or(X1,X2)),or(X1,X3))),X4)),true,theorem(or(not(or(not(X2),X3)),X4)),true) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.363.0.1']),
% 237.95/238.36 [weight('<?,9,6,[1,0,0,8]>')]).
% 237.95/238.36 cnf('0.363.2.0',plain,
% 237.95/238.36 ( ifeq(theorem(or(not(or(not(or(X1,X2)),or(X1,X3))),X4)),true,theorem(or(not(or(not(X2),X3)),X4)),true) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.363.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_363]).
% 237.95/238.36 cnf('0.401.0.0',plain,
% 237.95/238.36 ( true = ifeq(true,true,theorem(or(or(not(or(X1,X2)),or(X2,X3)),X1)),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.19.2.0','0.319.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.1','L')]).
% 237.95/238.36 cnf('0.401.0.1',plain,
% 237.95/238.36 ( true = theorem(or(or(not(or(X1,X2)),or(X2,X3)),X1)) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.401.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R','L')]).
% 237.95/238.36 cnf('0.401.1.0',plain,
% 237.95/238.36 ( true = theorem(or(or(not(or(X1,X2)),or(X2,X3)),X1)) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.401.0.1']),
% 237.95/238.36 [weight('<155,319,19,[0,0,0,1]>')]).
% 237.95/238.36 cnf('0.401.2.0',plain,
% 237.95/238.36 ( theorem(or(or(not(or(X1,X2)),or(X2,X3)),X1)) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.401.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_401]).
% 237.95/238.36 cnf('0.878.0.0',plain,
% 237.95/238.36 ( true = ifeq(true,true,theorem(or(X1,or(or(not(or(X2,X3)),or(X3,X4)),X2))),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.13.2.0','0.401.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.1','L')]).
% 237.95/238.36 cnf('0.878.0.1',plain,
% 237.95/238.36 ( true = theorem(or(X1,or(or(not(or(X2,X3)),or(X3,X4)),X2))) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.878.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R','L')]).
% 237.95/238.36 cnf('0.878.1.0',plain,
% 237.95/238.36 ( true = theorem(or(X1,or(or(not(or(X2,X3)),or(X3,X4)),X2))) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.878.0.1']),
% 237.95/238.36 [weight('<209,401,13,[0,0,0,1]>')]).
% 237.95/238.36 cnf('0.878.2.0',plain,
% 237.95/238.36 ( theorem(or(X1,or(or(not(or(X2,X3)),or(X3,X4)),X2))) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.878.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_878]).
% 237.95/238.36 cnf('0.1499.0.0',plain,
% 237.95/238.36 ( true = ifeq(true,true,theorem(or(or(not(or(X1,X2)),or(X2,X3)),or(X4,X1))),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.103.2.0','0.878.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.1','L')]).
% 237.95/238.36 cnf('0.1499.0.1',plain,
% 237.95/238.36 ( true = theorem(or(or(not(or(X1,X2)),or(X2,X3)),or(X4,X1))) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.1499.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R','L')]).
% 237.95/238.36 cnf('0.1499.1.0',plain,
% 237.95/238.36 ( true = theorem(or(or(not(or(X1,X2)),or(X2,X3)),or(X4,X1))) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.1499.0.1']),
% 237.95/238.36 [weight('<209,878,103,[0,0,0,1]>')]).
% 237.95/238.36 cnf('0.1499.2.0',plain,
% 237.95/238.36 ( theorem(or(or(not(or(X1,X2)),or(X2,X3)),or(X4,X1))) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.1499.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_1499]).
% 237.95/238.36 cnf('0.1500.0.0',plain,
% 237.95/238.36 ( true = ifeq(true,true,theorem(or(not(or(or(X1,X2),X1)),or(X1,X2))),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.15.2.0','0.1499.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.1','L')]).
% 237.95/238.36 cnf('0.1500.0.1',plain,
% 237.95/238.36 ( true = theorem(or(not(or(or(X1,X2),X1)),or(X1,X2))) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.1500.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R','L')]).
% 237.95/238.36 cnf('0.1500.1.0',plain,
% 237.95/238.36 ( true = theorem(or(not(or(or(X1,X2),X1)),or(X1,X2))) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.1500.0.1']),
% 237.95/238.36 [weight('<155,1499,15,[0,0,0,1]>')]).
% 237.95/238.36 cnf('0.1500.2.0',plain,
% 237.95/238.36 ( theorem(or(not(or(or(X1,X2),X1)),or(X1,X2))) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.1500.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_1500]).
% 237.95/238.36 cnf('0.1503.0.0',plain,
% 237.95/238.36 ( true = ifeq(true,true,theorem(or(not(or(X1,or(X1,X2))),or(X1,X2))),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.210.2.0','0.1500.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.1','L')]).
% 237.95/238.36 cnf('0.1503.0.1',plain,
% 237.95/238.36 ( true = theorem(or(not(or(X1,or(X1,X2))),or(X1,X2))) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.1503.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R','L')]).
% 237.95/238.36 cnf('0.1503.1.0',plain,
% 237.95/238.36 ( true = theorem(or(not(or(X1,or(X1,X2))),or(X1,X2))) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.1503.0.1']),
% 237.95/238.36 [weight('<155,1500,210,[0,0,0,1]>')]).
% 237.95/238.36 cnf('0.1503.2.0',plain,
% 237.95/238.36 ( theorem(or(not(or(X1,or(X1,X2))),or(X1,X2))) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.1503.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_1503]).
% 237.95/238.36 cnf('0.4200.0.0',plain,
% 237.95/238.36 ( true = ifeq(true,true,theorem(or(not(or(X1,or(X2,or(X2,X3)))),or(X1,or(X2,X3)))),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.108.2.0','0.1503.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.1','L')]).
% 237.95/238.36 cnf('0.4200.0.1',plain,
% 237.95/238.36 ( true = theorem(or(not(or(X1,or(X2,or(X2,X3)))),or(X1,or(X2,X3)))) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.4200.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R','L')]).
% 237.95/238.36 cnf('0.4200.1.0',plain,
% 237.95/238.36 ( true = theorem(or(not(or(X1,or(X2,or(X2,X3)))),or(X1,or(X2,X3)))) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.4200.0.1']),
% 237.95/238.36 [weight('<271,1503,108,[0,0,0,1]>')]).
% 237.95/238.36 cnf('0.4200.2.0',plain,
% 237.95/238.36 ( theorem(or(not(or(X1,or(X2,or(X2,X3)))),or(X1,or(X2,X3)))) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.4200.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_4200]).
% 237.95/238.36 cnf('0.21847.0.0',plain,
% 237.95/238.36 ( true = ifeq(true,true,theorem(or(not(or(not(X1),or(X2,X3))),or(not(or(X2,X1)),or(X2,X3)))),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.363.2.0','0.4200.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.1','L')]).
% 237.95/238.36 cnf('0.21847.0.1',plain,
% 237.95/238.36 ( true = theorem(or(not(or(not(X1),or(X2,X3))),or(not(or(X2,X1)),or(X2,X3)))) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.21847.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R','L')]).
% 237.95/238.36 cnf('0.21847.1.0',plain,
% 237.95/238.36 ( true = theorem(or(not(or(not(X1),or(X2,X3))),or(not(or(X2,X1)),or(X2,X3)))) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.21847.0.1']),
% 237.95/238.36 [weight('<341,4200,363,[0,0,0,1]>')]).
% 237.95/238.36 cnf('0.21847.2.0',plain,
% 237.95/238.36 ( theorem(or(not(or(not(X1),or(X2,X3))),or(not(or(X2,X1)),or(X2,X3)))) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.21847.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_21847]).
% 237.95/238.36 cnf('0.40828.0.0',plain,
% 237.95/238.36 ( true = ifeq(true,true,theorem(or(not(or(X1,or(not(X2),X3))),or(not(or(X1,X2)),or(X1,X3)))),true) ),
% 237.95/238.36 inference(cp,[status(thm)],['0.312.2.0','0.21847.2.0',theory(equality)]),
% 237.95/238.36 [pos('L.1','L')]).
% 237.95/238.36 cnf('0.40828.0.1',plain,
% 237.95/238.36 ( true = theorem(or(not(or(X1,or(not(X2),X3))),or(not(or(X1,X2)),or(X1,X3)))) ),
% 237.95/238.36 inference(reduction,[status(thm)],['0.40828.0.0','0.1.2.0',theory(equality)]),
% 237.95/238.36 [pos('R','L')]).
% 237.95/238.36 cnf('0.40828.1.0',plain,
% 237.95/238.36 ( true = theorem(or(not(or(X1,or(not(X2),X3))),or(not(or(X1,X2)),or(X1,X3)))) ),
% 237.95/238.36 inference(weigh,[status(thm)],['0.40828.0.1']),
% 237.95/238.36 [weight('<341,21847,312,[0,0,0,1]>')]).
% 237.95/238.36 cnf('0.40828.2.0',plain,
% 237.95/238.36 ( theorem(or(not(or(X1,or(not(X2),X3))),or(not(or(X1,X2)),or(X1,X3)))) = true ),
% 237.95/238.36 inference(orient,[status(thm)],['0.40828.1.0',theory(equality)]),
% 237.95/238.36 [x,rule_40828]).
% 237.95/238.36 cnf('1.0.0.0',conjecture,
% 237.95/238.36 ( true = theorem(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))) ),
% 237.95/238.36 file('/tmp/WALDMEISTER_17750_n011',conjecture_1)).
% 237.95/238.36 cnf('1.0.0.1',plain,
% 237.95/238.36 ( true = true ),
% 237.95/238.36 inference(reduction,[status(thm)],['1.0.0.0','0.40828.2.0',theory(equality)]),
% 237.95/238.36 [pos('R','L')]).
% 237.95/238.36 cnf('1.0.0.2',plain,
% 237.95/238.36 ( $true ),
% 237.95/238.36 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 237.95/238.36 [conjecture_1]).
% 237.95/238.36
% 237.95/238.36 Proved Goals:
% 237.95/238.36 No. 1: true ?= theorem(or(not(or(not(p),or(not(q),r))),or(not(or(not(p),q)),or(not(p),r)))) joined, current: true = true
% 237.95/238.36 1 goal was specified, which was proved.
% 237.95/238.36 % SZS output end CNFRefutation
% 237.95/238.36 #END OF PROOF
% 237.95/238.36
% 237.95/238.36 Problem WALDMEISTER_17750_n011
% 237.95/238.36 CPs.gen 310327688
% 237.95/238.36 CPs.reexp 0
% 237.95/238.36 Select 46608
% 237.95/238.36 R 40828
% 237.95/238.36 E 0
% 237.95/238.36 vsize 38.1M
% 237.95/238.36 rss 35.8M
% 237.95/238.36 process.time 237.357s
% 237.95/238.36 wallclock.time 237.369s
% 237.95/238.36 status S
% 237.95/238.36
% 237.95/238.36
% 237.95/238.36 Waldmeister states: Goal proved.
% 237.95/238.36 % SZS status Unsatisfiable
%------------------------------------------------------------------------------