TSTP Solution File: LCL239-10 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LCL239-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n004.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 16:04:43 EDT 2022
% Result : Unsatisfiable 0.59s 1.02s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LCL239-10 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : woody %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 4 15:14:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.59/1.00 ********************************************************************************
% 0.59/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/1.00 * |/ | \/ | *
% 0.59/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/1.00 * A. Jaeger and B. Loechner | | *
% 0.59/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/1.00 ********************************************************************************
% 0.59/1.00
% 0.59/1.00
% 0.59/1.00 Goals:
% 0.59/1.00 ------
% 0.59/1.00
% 0.59/1.00 ( 1) true ?=? theorem(not(and(p,not(p))))
% 0.59/1.00
% 0.59/1.00 Detected structure: Orkus
% 0.59/1.00 ********************************************************************************
% 0.59/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.59/1.00 ********************************************************************************
% 0.59/1.00
% 0.59/1.02 joined goal: 1 true ?= theorem(not(and(p,not(p)))) to true
% 0.59/1.02 goal joined
% 0.59/1.02 % SZS status Unsatisfiable
% 0.59/1.02 #START OF PROOF
% 0.59/1.02 % SZS output start CNFRefutation
% 0.59/1.02 cnf('0.1.0.0',axiom,
% 0.59/1.02 ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_25564_n004')).
% 0.59/1.02 cnf('0.1.1.0',plain,
% 0.59/1.02 ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.59/1.02 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.59/1.02 cnf('0.1.2.0',plain,
% 0.59/1.02 ( ifeq(X1,X1,X2,X3) = X2 ),
% 0.59/1.02 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_1]).
% 0.59/1.02 cnf('0.2.0.0',axiom,
% 0.59/1.02 ( true = axiom(implies(X1,or(X2,X1))) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_25564_n004')).
% 0.59/1.02 cnf('0.2.1.0',plain,
% 0.59/1.02 ( true = axiom(implies(X1,or(X2,X1))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.59/1.02 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.59/1.02 cnf('0.2.2.0',plain,
% 0.59/1.02 ( axiom(implies(X1,or(X2,X1))) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_2]).
% 0.59/1.02 cnf('0.3.0.0',axiom,
% 0.59/1.02 ( true = axiom(implies(or(X1,X2),or(X2,X1))) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_25564_n004')).
% 0.59/1.02 cnf('0.3.1.0',plain,
% 0.59/1.02 ( true = axiom(implies(or(X1,X2),or(X2,X1))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.59/1.02 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.59/1.02 cnf('0.3.2.0',plain,
% 0.59/1.02 ( axiom(implies(or(X1,X2),or(X2,X1))) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_3]).
% 0.59/1.02 cnf('0.4.0.0',axiom,
% 0.59/1.02 ( true = axiom(implies(or(X1,X1),X1)) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_25564_n004')).
% 0.59/1.02 cnf('0.4.1.0',plain,
% 0.59/1.02 ( true = axiom(implies(or(X1,X1),X1)) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.59/1.02 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.59/1.02 cnf('0.4.2.0',plain,
% 0.59/1.02 ( axiom(implies(or(X1,X1),X1)) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_4]).
% 0.59/1.02 cnf('0.6.0.0',axiom,
% 0.59/1.02 ( true = axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_25564_n004')).
% 0.59/1.02 cnf('0.6.1.0',plain,
% 0.59/1.02 ( true = axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.59/1.02 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.59/1.02 cnf('0.6.2.0',plain,
% 0.59/1.02 ( axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_6]).
% 0.59/1.02 cnf('0.7.0.0',axiom,
% 0.59/1.02 ( true = ifeq(axiom(X1),true,theorem(X1),true) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_25564_n004')).
% 0.59/1.02 cnf('0.7.1.0',plain,
% 0.59/1.02 ( true = ifeq(axiom(X1),true,theorem(X1),true) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.59/1.02 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.59/1.02 cnf('0.7.2.0',plain,
% 0.59/1.02 ( ifeq(axiom(X1),true,theorem(X1),true) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_7]).
% 0.59/1.02 cnf('0.8.0.0',axiom,
% 0.59/1.02 ( true = ifeq(theorem(implies(X1,X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_25564_n004')).
% 0.59/1.02 cnf('0.8.1.0',plain,
% 0.59/1.02 ( true = ifeq(theorem(implies(X1,X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.59/1.02 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.59/1.02 cnf('0.8.2.0',plain,
% 0.59/1.02 ( ifeq(theorem(implies(X1,X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_8]).
% 0.59/1.02 cnf('0.9.0.0',axiom,
% 0.59/1.02 ( or(not(X1),X2) = implies(X1,X2) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_25564_n004')).
% 0.59/1.02 cnf('0.9.1.0',plain,
% 0.59/1.02 ( or(not(X1),X2) = implies(X1,X2) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.59/1.02 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.59/1.02 cnf('0.9.2.0',plain,
% 0.59/1.02 ( or(not(X1),X2) = implies(X1,X2) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.59/1.02 [u,rule_9]).
% 0.59/1.02 cnf('0.10.0.0',axiom,
% 0.59/1.02 ( not(or(not(X1),not(X2))) = and(X1,X2) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_25564_n004')).
% 0.59/1.02 cnf('0.10.1.0',plain,
% 0.59/1.02 ( not(or(not(X1),not(X2))) = and(X1,X2) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.59/1.02 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.59/1.02 cnf('0.10.1.1',plain,
% 0.59/1.02 ( not(implies(X1,not(X2))) = and(X1,X2) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.10.1.0','0.9.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1','L')]).
% 0.59/1.02 cnf('0.10.2.0',plain,
% 0.59/1.02 ( not(implies(X1,not(X2))) = and(X1,X2) ),
% 0.59/1.02 inference(orient,[status(thm)],['0.10.1.1',theory(equality)]),
% 0.59/1.02 [u,rule_10]).
% 0.59/1.02 cnf('0.11.0.0',plain,
% 0.59/1.02 ( true = ifeq(true,true,theorem(implies(X1,or(X2,X1))),true) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1','L')]).
% 0.59/1.02 cnf('0.11.0.1',plain,
% 0.59/1.02 ( true = theorem(implies(X1,or(X2,X1))) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.11.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.11.1.0',plain,
% 0.59/1.02 ( true = theorem(implies(X1,or(X2,X1))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.11.0.1']),
% 0.59/1.02 [weight('<55,7,2,[1,0,0,1]>')]).
% 0.59/1.02 cnf('0.11.2.0',plain,
% 0.59/1.02 ( theorem(implies(X1,or(X2,X1))) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_11]).
% 0.59/1.02 cnf('0.12.0.0',plain,
% 0.59/1.02 ( true = ifeq(true,true,theorem(implies(or(X1,X1),X1)),true) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.7.2.0','0.4.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1','L')]).
% 0.59/1.02 cnf('0.12.0.1',plain,
% 0.59/1.02 ( true = theorem(implies(or(X1,X1),X1)) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.12.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.12.1.0',plain,
% 0.59/1.02 ( true = theorem(implies(or(X1,X1),X1)) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.12.0.1']),
% 0.59/1.02 [weight('<55,7,4,[1,0,0,1]>')]).
% 0.59/1.02 cnf('0.12.2.0',plain,
% 0.59/1.02 ( theorem(implies(or(X1,X1),X1)) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_12]).
% 0.59/1.02 cnf('0.16.0.0',plain,
% 0.59/1.02 ( true = ifeq(true,true,theorem(implies(or(X1,X2),or(X2,X1))),true) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1','L')]).
% 0.59/1.02 cnf('0.16.0.1',plain,
% 0.59/1.02 ( true = theorem(implies(or(X1,X2),or(X2,X1))) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.16.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.16.1.0',plain,
% 0.59/1.02 ( true = theorem(implies(or(X1,X2),or(X2,X1))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.59/1.02 [weight('<89,7,3,[1,0,0,1]>')]).
% 0.59/1.02 cnf('0.16.2.0',plain,
% 0.59/1.02 ( theorem(implies(or(X1,X2),or(X2,X1))) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_16]).
% 0.59/1.02 cnf('0.34.0.0',plain,
% 0.59/1.02 ( true = theorem(implies(implies(X1,X2),or(X2,not(X1)))) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.16.2.0','0.9.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1.1','L')]).
% 0.59/1.02 cnf('0.34.1.0',plain,
% 0.59/1.02 ( true = theorem(implies(implies(X1,X2),or(X2,not(X1)))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.59/1.02 [weight('<109,16,9,[1,0,0,2]>')]).
% 0.59/1.02 cnf('0.34.2.0',plain,
% 0.59/1.02 ( theorem(implies(implies(X1,X2),or(X2,not(X1)))) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_34]).
% 0.59/1.02 cnf('0.108.0.0',plain,
% 0.59/1.02 ( true = ifeq(true,true,theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),true) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.7.2.0','0.6.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1','L')]).
% 0.59/1.02 cnf('0.108.0.1',plain,
% 0.59/1.02 ( true = theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.108.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.108.1.0',plain,
% 0.59/1.02 ( true = theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.108.0.1']),
% 0.59/1.02 [weight('<?,7,6,[1,0,0,1]>')]).
% 0.59/1.02 cnf('0.108.2.0',plain,
% 0.59/1.02 ( theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_108]).
% 0.59/1.02 cnf('0.134.0.0',plain,
% 0.59/1.02 ( true = ifeq(true,true,ifeq(theorem(implies(X1,X2)),true,theorem(or(X2,not(X1))),true),true) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.8.2.0','0.34.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1','L')]).
% 0.59/1.02 cnf('0.134.0.1',plain,
% 0.59/1.02 ( true = ifeq(theorem(implies(X1,X2)),true,theorem(or(X2,not(X1))),true) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.134.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.134.1.0',plain,
% 0.59/1.02 ( true = ifeq(theorem(implies(X1,X2)),true,theorem(or(X2,not(X1))),true) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.134.0.1']),
% 0.59/1.02 [weight('<181,34,8,[0,0,0,1]>')]).
% 0.59/1.02 cnf('0.134.2.0',plain,
% 0.59/1.02 ( ifeq(theorem(implies(X1,X2)),true,theorem(or(X2,not(X1))),true) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.134.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_134]).
% 0.59/1.02 cnf('0.159.0.0',plain,
% 0.59/1.02 ( true = ifeq(theorem(implies(implies(X1,or(X2,X1)),X3)),true,ifeq(true,true,theorem(X3),true),true) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.8.2.0','0.11.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.3.1','L')]).
% 0.59/1.02 cnf('0.159.0.1',plain,
% 0.59/1.02 ( true = ifeq(theorem(implies(implies(X1,or(X2,X1)),X3)),true,theorem(X3),true) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.159.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.02 [pos('R.3','L')]).
% 0.59/1.02 cnf('0.159.1.0',plain,
% 0.59/1.02 ( true = ifeq(theorem(implies(implies(X1,or(X2,X1)),X3)),true,theorem(X3),true) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.159.0.1']),
% 0.59/1.02 [weight('<?,11,8,[0,0,0,7]>')]).
% 0.59/1.02 cnf('0.159.2.0',plain,
% 0.59/1.02 ( ifeq(theorem(implies(implies(X1,or(X2,X1)),X3)),true,theorem(X3),true) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_159]).
% 0.59/1.02 cnf('0.210.0.0',plain,
% 0.59/1.02 ( true = ifeq(theorem(implies(implies(or(X1,X1),X1),X2)),true,ifeq(true,true,theorem(X2),true),true) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.8.2.0','0.12.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.3.1','L')]).
% 0.59/1.02 cnf('0.210.0.1',plain,
% 0.59/1.02 ( true = ifeq(theorem(implies(implies(or(X1,X1),X1),X2)),true,theorem(X2),true) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.210.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.02 [pos('R.3','L')]).
% 0.59/1.02 cnf('0.210.1.0',plain,
% 0.59/1.02 ( true = ifeq(theorem(implies(implies(or(X1,X1),X1),X2)),true,theorem(X2),true) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.210.0.1']),
% 0.59/1.02 [weight('<?,12,8,[0,0,0,7]>')]).
% 0.59/1.02 cnf('0.210.2.0',plain,
% 0.59/1.02 ( ifeq(theorem(implies(implies(or(X1,X1),X1),X2)),true,theorem(X2),true) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.210.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_210]).
% 0.59/1.02 cnf('0.219.0.0',plain,
% 0.59/1.02 ( true = ifeq(true,true,theorem(implies(or(X1,or(X2,X2)),or(X1,X2))),true) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.210.2.0','0.108.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1','L')]).
% 0.59/1.02 cnf('0.219.0.1',plain,
% 0.59/1.02 ( true = theorem(implies(or(X1,or(X2,X2)),or(X1,X2))) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.219.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.219.1.0',plain,
% 0.59/1.02 ( true = theorem(implies(or(X1,or(X2,X2)),or(X1,X2))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.219.0.1']),
% 0.59/1.02 [weight('<131,210,108,[1,0,0,1]>')]).
% 0.59/1.02 cnf('0.219.2.0',plain,
% 0.59/1.02 ( theorem(implies(or(X1,or(X2,X2)),or(X1,X2))) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.219.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_219]).
% 0.59/1.02 cnf('0.224.0.0',plain,
% 0.59/1.02 ( true = theorem(implies(implies(X1,or(X2,X2)),or(not(X1),X2))) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.219.2.0','0.9.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1.1','L')]).
% 0.59/1.02 cnf('0.224.0.1',plain,
% 0.59/1.02 ( true = theorem(implies(implies(X1,or(X2,X2)),implies(X1,X2))) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.224.0.0','0.9.2.0',theory(equality)]),
% 0.59/1.02 [pos('R.1.2','L')]).
% 0.59/1.02 cnf('0.224.1.0',plain,
% 0.59/1.02 ( true = theorem(implies(implies(X1,or(X2,X2)),implies(X1,X2))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.224.0.1']),
% 0.59/1.02 [weight('<131,219,9,[1,0,0,2]>')]).
% 0.59/1.02 cnf('0.224.2.0',plain,
% 0.59/1.02 ( theorem(implies(implies(X1,or(X2,X2)),implies(X1,X2))) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.224.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_224]).
% 0.59/1.02 cnf('0.225.0.0',plain,
% 0.59/1.02 ( true = ifeq(true,true,theorem(implies(X1,X1)),true) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.159.2.0','0.224.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1','L')]).
% 0.59/1.02 cnf('0.225.0.1',plain,
% 0.59/1.02 ( true = theorem(implies(X1,X1)) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.225.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.225.1.0',plain,
% 0.59/1.02 ( true = theorem(implies(X1,X1)) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.225.0.1']),
% 0.59/1.02 [weight('<29,224,159,[0,0,0,1]>')]).
% 0.59/1.02 cnf('0.225.2.0',plain,
% 0.59/1.02 ( theorem(implies(X1,X1)) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.225.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_225]).
% 0.59/1.02 cnf('0.226.0.0',plain,
% 0.59/1.02 ( true = ifeq(true,true,theorem(or(X1,not(X1))),true) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.134.2.0','0.225.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1','L')]).
% 0.59/1.02 cnf('0.226.0.1',plain,
% 0.59/1.02 ( true = theorem(or(X1,not(X1))) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.226.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.226.1.0',plain,
% 0.59/1.02 ( true = theorem(or(X1,not(X1))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.226.0.1']),
% 0.59/1.02 [weight('<41,225,134,[0,0,0,1]>')]).
% 0.59/1.02 cnf('0.226.2.0',plain,
% 0.59/1.02 ( theorem(or(X1,not(X1))) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.226.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_226]).
% 0.59/1.02 cnf('0.229.0.0',plain,
% 0.59/1.02 ( true = theorem(implies(X1,not(not(X1)))) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.226.2.0','0.9.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1','L')]).
% 0.59/1.02 cnf('0.229.1.0',plain,
% 0.59/1.02 ( true = theorem(implies(X1,not(not(X1)))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.229.0.0']),
% 0.59/1.02 [weight('<55,226,9,[1,0,0,1]>')]).
% 0.59/1.02 cnf('0.229.2.0',plain,
% 0.59/1.02 ( theorem(implies(X1,not(not(X1)))) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.229.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_229]).
% 0.59/1.02 cnf('0.260.0.0',plain,
% 0.59/1.02 ( true = ifeq(true,true,ifeq(theorem(X1),true,theorem(not(not(X1))),true),true) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.8.2.0','0.229.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1','L')]).
% 0.59/1.02 cnf('0.260.0.1',plain,
% 0.59/1.02 ( true = ifeq(theorem(X1),true,theorem(not(not(X1))),true) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.260.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.260.1.0',plain,
% 0.59/1.02 ( true = ifeq(theorem(X1),true,theorem(not(not(X1))),true) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.260.0.1']),
% 0.59/1.02 [weight('<109,229,8,[0,0,0,1]>')]).
% 0.59/1.02 cnf('0.260.2.0',plain,
% 0.59/1.02 ( ifeq(theorem(X1),true,theorem(not(not(X1))),true) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.260.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_260]).
% 0.59/1.02 cnf('0.263.0.0',plain,
% 0.59/1.02 ( true = ifeq(true,true,theorem(not(not(implies(X1,not(not(X1)))))),true) ),
% 0.59/1.02 inference(cp,[status(thm)],['0.260.2.0','0.229.2.0',theory(equality)]),
% 0.59/1.02 [pos('L.1','L')]).
% 0.59/1.02 cnf('0.263.0.1',plain,
% 0.59/1.02 ( true = theorem(not(not(implies(X1,not(not(X1)))))) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.263.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('0.263.0.2',plain,
% 0.59/1.02 ( true = theorem(not(and(X1,not(X1)))) ),
% 0.59/1.02 inference(reduction,[status(thm)],['0.263.0.1','0.10.2.0',theory(equality)]),
% 0.59/1.02 [pos('R.1.1','L')]).
% 0.59/1.02 cnf('0.263.1.0',plain,
% 0.59/1.02 ( true = theorem(not(and(X1,not(X1)))) ),
% 0.59/1.02 inference(weigh,[status(thm)],['0.263.0.2']),
% 0.59/1.02 [weight('<55,260,229,[1,0,0,1]>')]).
% 0.59/1.02 cnf('0.263.2.0',plain,
% 0.59/1.02 ( theorem(not(and(X1,not(X1)))) = true ),
% 0.59/1.02 inference(orient,[status(thm)],['0.263.1.0',theory(equality)]),
% 0.59/1.02 [x,rule_263]).
% 0.59/1.02 cnf('1.0.0.0',conjecture,
% 0.59/1.02 ( true = theorem(not(and(p,not(p)))) ),
% 0.59/1.02 file('/tmp/WALDMEISTER_25564_n004',conjecture_1)).
% 0.59/1.02 cnf('1.0.0.1',plain,
% 0.59/1.02 ( true = true ),
% 0.59/1.02 inference(reduction,[status(thm)],['1.0.0.0','0.263.2.0',theory(equality)]),
% 0.59/1.02 [pos('R','L')]).
% 0.59/1.02 cnf('1.0.0.2',plain,
% 0.59/1.02 ( $true ),
% 0.59/1.02 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.59/1.02 [conjecture_1]).
% 0.59/1.02
% 0.59/1.02 Proved Goals:
% 0.59/1.02 No. 1: true ?= theorem(not(and(p,not(p)))) joined, current: true = true
% 0.59/1.02 1 goal was specified, which was proved.
% 0.59/1.02 % SZS output end CNFRefutation
% 0.59/1.02 #END OF PROOF
% 0.59/1.02
% 0.59/1.02 Problem WALDMEISTER_25564_n004
% 0.59/1.02 CPs.gen 10000
% 0.59/1.02 CPs.reexp 0
% 0.59/1.02 Select 458
% 0.59/1.02 R 263
% 0.59/1.02 E 0
% 0.59/1.02 vsize 6.6M
% 0.59/1.02 rss 3.8M
% 0.59/1.02 process.time 0.027s
% 0.59/1.02 wallclock.time 0.027s
% 0.59/1.02 status S
% 0.59/1.02
% 0.59/1.02
% 0.59/1.02 Waldmeister states: Goal proved.
% 0.59/1.02 % SZS status Unsatisfiable
%------------------------------------------------------------------------------