TSTP Solution File: BOO075-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO075-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n024.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 : Thu Jul 14 23:52:57 EDT 2022
% Result : Unsatisfiable 0.58s 1.01s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO075-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n024.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 : Wed Jun 1 20:25:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.97 * |/ | \/ | *
% 0.58/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.97 * A. Jaeger and B. Loechner | | *
% 0.58/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.58/0.97
% 0.58/0.97 Goals:
% 0.58/0.97 ------
% 0.58/0.97
% 0.58/0.97 ( 1) nand(nand(a,a),nand(b,a)) ?=? a
% 0.58/0.97
% 0.58/0.97 Detected structure: Orkus
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.58/1.01 joined goal: 1 nand(nand(a,a),nand(b,a)) ?= a to a
% 0.58/1.01 goal joined
% 0.58/1.01 % SZS status Unsatisfiable
% 0.58/1.01 #START OF PROOF
% 0.58/1.01 % SZS output start CNFRefutation
% 0.58/1.01 cnf('0.1.0.0',axiom,
% 0.58/1.01 ( X1 = nand(nand(X2,nand(nand(X1,X2),X2)),nand(X1,nand(X3,X2))) ),
% 0.58/1.01 file('/tmp/WALDMEISTER_4736_n024')).
% 0.58/1.01 cnf('0.1.1.0',plain,
% 0.58/1.01 ( X1 = nand(nand(X2,nand(nand(X1,X2),X2)),nand(X1,nand(X3,X2))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/1.01 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/1.01 cnf('0.1.2.0',plain,
% 0.58/1.01 ( nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,nand(X3,X1))) = X2 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_1]).
% 0.58/1.01 cnf('0.2.0.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X2,X1),X1)) = nand(nand(nand(X2,nand(X3,X1)),nand(X2,nand(X2,nand(X3,X1)))),nand(nand(X1,nand(nand(X2,X1),X1)),nand(X4,nand(X2,nand(X3,X1))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.2.1','L')]).
% 0.58/1.01 cnf('0.2.1.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X2,X1),X1)) = nand(nand(nand(X2,nand(X3,X1)),nand(X2,nand(X2,nand(X3,X1)))),nand(nand(X1,nand(nand(X2,X1),X1)),nand(X4,nand(X2,nand(X3,X1))))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/1.01 [weight('<?,1,1,[0,0,0,4]>')]).
% 0.58/1.01 cnf('0.2.2.0',plain,
% 0.58/1.01 ( nand(nand(nand(X1,nand(X2,X3)),nand(X1,nand(X1,nand(X2,X3)))),nand(nand(X3,nand(nand(X1,X3),X3)),nand(X4,nand(X1,nand(X2,X3))))) = nand(X3,nand(nand(X1,X3),X3)) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_2]).
% 0.58/1.01 cnf('0.3.0.0',plain,
% 0.58/1.01 ( X1 = nand(nand(nand(X2,nand(X3,X4)),nand(nand(X1,nand(X2,nand(X3,X4))),nand(X2,nand(X3,X4)))),nand(X1,X2)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.2','L')]).
% 0.58/1.01 cnf('0.3.1.0',plain,
% 0.58/1.01 ( X1 = nand(nand(nand(X2,nand(X3,X4)),nand(nand(X1,nand(X2,nand(X3,X4))),nand(X2,nand(X3,X4)))),nand(X1,X2)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/1.01 [weight('<599,1,1,[0,0,0,10]>')]).
% 0.58/1.01 cnf('0.3.2.0',plain,
% 0.58/1.01 ( nand(nand(nand(X1,nand(X2,X3)),nand(nand(X4,nand(X1,nand(X2,X3))),nand(X1,nand(X2,X3)))),nand(X4,X1)) = X4 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_3]).
% 0.58/1.01 cnf('0.4.0.0',plain,
% 0.58/1.01 ( X1 = nand(nand(nand(X2,X3),nand(nand(X1,nand(X2,X3)),nand(X2,X3))),nand(X1,X2)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.2','L')]).
% 0.58/1.01 cnf('0.4.1.0',plain,
% 0.58/1.01 ( X1 = nand(nand(nand(X2,X3),nand(nand(X1,nand(X2,X3)),nand(X2,X3))),nand(X1,X2)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.58/1.01 [weight('<341,3,1,[0,0,0,10]>')]).
% 0.58/1.01 cnf('0.4.2.0',plain,
% 0.58/1.01 ( nand(nand(nand(X1,X2),nand(nand(X3,nand(X1,X2)),nand(X1,X2))),nand(X3,X1)) = X3 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_4]).
% 0.58/1.01 cnf('0.5.0.0',plain,
% 0.58/1.01 ( X1 = nand(nand(X2,nand(nand(X1,nand(nand(X3,nand(nand(X2,X3),X3)),nand(X2,nand(X4,X3)))),nand(nand(X3,nand(nand(X2,X3),X3)),nand(X2,nand(X4,X3))))),nand(X1,nand(X3,nand(nand(X2,X3),X3)))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.1','L')]).
% 0.58/1.01 cnf('0.5.0.1',plain,
% 0.58/1.01 ( X1 = nand(nand(X2,nand(nand(X1,X2),nand(nand(X3,nand(nand(X2,X3),X3)),nand(X2,nand(X4,X3))))),nand(X1,nand(X3,nand(nand(X2,X3),X3)))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.5.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.1.2.1.2','L')]).
% 0.58/1.01 cnf('0.5.0.2',plain,
% 0.58/1.01 ( X1 = nand(nand(X2,nand(nand(X1,X2),X2)),nand(X1,nand(X3,nand(nand(X2,X3),X3)))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.5.0.1','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.1.2.2','L')]).
% 0.58/1.01 cnf('0.5.1.0',plain,
% 0.58/1.01 ( X1 = nand(nand(X2,nand(nand(X1,X2),X2)),nand(X1,nand(X3,nand(nand(X2,X3),X3)))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.5.0.2']),
% 0.58/1.01 [weight('<341,4,1,[1,0,0,2]>')]).
% 0.58/1.01 cnf('0.5.2.0',plain,
% 0.58/1.01 ( nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,nand(X3,nand(nand(X1,X3),X3)))) = X2 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_5]).
% 0.58/1.01 cnf('0.6.0.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X1,X1),X1)) = nand(nand(nand(X1,nand(nand(X1,X1),X1)),nand(X1,nand(X1,nand(nand(X1,X1),X1)))),X1) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.2.2.0','0.5.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2','L')]).
% 0.58/1.01 cnf('0.6.0.1',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X1,X1),X1)) = nand(X1,X1) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.6.0.0','0.5.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.1','L')]).
% 0.58/1.01 cnf('0.6.1.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X1,X1),X1)) = nand(X1,X1) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.58/1.01 [weight('<87,5,2,[0,0,0,14]>')]).
% 0.58/1.01 cnf('0.6.2.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X1,X1),X1)) = nand(X1,X1) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.58/1.01 [u,rule_6]).
% 0.58/1.01 cnf('0.7.0.0',plain,
% 0.58/1.01 ( X1 = nand(nand(X1,nand(nand(X1,X1),X1)),nand(X1,X1)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.1.2.0','0.6.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2','L')]).
% 0.58/1.01 cnf('0.7.0.1',plain,
% 0.58/1.01 ( X1 = nand(nand(X1,X1),nand(X1,X1)) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.7.0.0','0.6.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.1','L')]).
% 0.58/1.01 cnf('0.7.1.0',plain,
% 0.58/1.01 ( X1 = nand(nand(X1,X1),nand(X1,X1)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.58/1.01 [weight('<71,6,1,[0,0,0,8]>')]).
% 0.58/1.01 cnf('0.7.2.0',plain,
% 0.58/1.01 ( nand(nand(X1,X1),nand(X1,X1)) = X1 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_7]).
% 0.58/1.01 cnf('0.8.0.0',plain,
% 0.58/1.01 ( X1 = nand(nand(X1,X1),nand(X1,nand(X2,X1))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.1.2.0','0.6.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1','L')]).
% 0.58/1.01 cnf('0.8.1.0',plain,
% 0.58/1.01 ( X1 = nand(nand(X1,X1),nand(X1,nand(X2,X1))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.58/1.01 [weight('<109,6,1,[0,0,0,1]>')]).
% 0.58/1.01 cnf('0.8.2.0',plain,
% 0.58/1.01 ( nand(nand(X1,X1),nand(X1,nand(X2,X1))) = X1 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_8]).
% 0.58/1.01 cnf('0.9.0.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X1,X1),X1)) = nand(nand(nand(X1,nand(nand(X1,X1),X1)),nand(X1,nand(X1,X1))),nand(nand(X1,nand(nand(X1,X1),X1)),nand(X2,nand(X1,nand(nand(X1,X1),X1))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.2.2','L')]).
% 0.58/1.01 cnf('0.9.0.1',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(nand(nand(X1,nand(nand(X1,X1),X1)),nand(X1,nand(X1,X1))),nand(nand(X1,nand(nand(X1,X1),X1)),nand(X2,nand(X1,nand(nand(X1,X1),X1))))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.9.0.0','0.6.2.0',theory(equality)]),
% 0.58/1.01 [pos('L','L')]).
% 0.58/1.01 cnf('0.9.0.2',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(X1,nand(nand(X1,nand(nand(X1,X1),X1)),nand(X2,nand(X1,nand(nand(X1,X1),X1))))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.9.0.1','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.1','L')]).
% 0.58/1.01 cnf('0.9.0.3',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(X1,nand(nand(X1,X1),nand(X2,nand(X1,nand(nand(X1,X1),X1))))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.9.0.2','0.6.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.2.1','L')]).
% 0.58/1.01 cnf('0.9.0.4',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(X1,nand(nand(X1,X1),nand(X2,nand(X1,X1)))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.9.0.3','0.6.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.2.2.2','L')]).
% 0.58/1.01 cnf('0.9.1.0',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(X1,nand(nand(X1,X1),nand(X2,nand(X1,X1)))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.9.0.4']),
% 0.58/1.01 [weight('<179,6,2,[0,0,0,9]>')]).
% 0.58/1.01 cnf('0.9.2.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X1,X1),nand(X2,nand(X1,X1)))) = nand(X1,X1) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_9]).
% 0.58/1.01 cnf('0.10.0.0',plain,
% 0.58/1.01 ( X1 = nand(nand(X2,nand(nand(X1,X2),X2)),nand(X1,X1)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.5.2.0','0.9.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2','L')]).
% 0.58/1.01 cnf('0.10.1.0',plain,
% 0.58/1.01 ( X1 = nand(nand(X2,nand(nand(X1,X2),X2)),nand(X1,X1)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.58/1.01 [weight('<155,9,5,[0,0,0,8]>')]).
% 0.58/1.01 cnf('0.10.2.0',plain,
% 0.58/1.01 ( nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,X2)) = X2 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_10]).
% 0.58/1.01 cnf('0.12.0.0',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(nand(X2,nand(nand(nand(X1,X1),X2),X2)),X1) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2','L')]).
% 0.58/1.01 cnf('0.12.1.0',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(nand(X2,nand(nand(nand(X1,X1),X2),X2)),X1) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.58/1.01 [weight('<179,8,5,[0,0,0,8]>')]).
% 0.58/1.01 cnf('0.12.2.0',plain,
% 0.58/1.01 ( nand(nand(X1,nand(nand(nand(X2,X2),X1),X1)),X2) = nand(X2,X2) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_12]).
% 0.58/1.01 cnf('0.14.0.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X2,X1),X1)) = nand(nand(nand(X2,X2),nand(X2,nand(X2,X2))),nand(nand(X1,nand(nand(X2,X1),X1)),X2)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.4.2.0','0.10.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.2.1','L')]).
% 0.58/1.01 cnf('0.14.0.1',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X2,X1),X1)) = nand(X2,nand(nand(X1,nand(nand(X2,X1),X1)),X2)) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.14.0.0','0.8.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.1','L')]).
% 0.58/1.01 cnf('0.14.1.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X2,X1),X1)) = nand(X2,nand(nand(X1,nand(nand(X2,X1),X1)),X2)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.58/1.01 [weight('<227,10,4,[0,0,0,6]>')]).
% 0.58/1.01 cnf('0.14.2.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X2,nand(nand(X1,X2),X2)),X1)) = nand(X2,nand(nand(X1,X2),X2)) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_14]).
% 0.58/1.01 cnf('0.15.0.0',plain,
% 0.58/1.01 ( X1 = nand(nand(X1,nand(nand(X1,X1),X1)),nand(X2,nand(nand(X1,X2),X2))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.1.2.0','0.14.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2','L')]).
% 0.58/1.01 cnf('0.15.0.1',plain,
% 0.58/1.01 ( X1 = nand(nand(X1,X1),nand(X2,nand(nand(X1,X2),X2))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.15.0.0','0.6.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.1','L')]).
% 0.58/1.01 cnf('0.15.1.0',plain,
% 0.58/1.01 ( X1 = nand(nand(X1,X1),nand(X2,nand(nand(X1,X2),X2))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.58/1.01 [weight('<155,14,1,[0,0,0,8]>')]).
% 0.58/1.01 cnf('0.15.2.0',plain,
% 0.58/1.01 ( nand(nand(X1,X1),nand(X2,nand(nand(X1,X2),X2))) = X1 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_15]).
% 0.58/1.01 cnf('0.18.0.0',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),nand(nand(X1,X1),nand(X1,X1))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.10.2.0','0.8.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.2.1','L')]).
% 0.58/1.01 cnf('0.18.0.1',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),X1) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.18.0.0','0.7.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.2','L')]).
% 0.58/1.01 cnf('0.18.1.0',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),X1) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.58/1.01 [weight('<303,10,8,[1,0,0,4]>')]).
% 0.58/1.01 cnf('0.18.2.0',plain,
% 0.58/1.01 ( nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),X1) = nand(X1,X1) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_18]).
% 0.58/1.01 cnf('0.32.0.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X1,X1),X1)) = nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),nand(nand(X1,nand(nand(X1,X1),X1)),X1)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.2','L')]).
% 0.58/1.01 cnf('0.32.0.1',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),nand(nand(X1,nand(nand(X1,X1),X1)),X1)) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.32.0.0','0.6.2.0',theory(equality)]),
% 0.58/1.01 [pos('L','L')]).
% 0.58/1.01 cnf('0.32.0.2',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),nand(nand(X1,X1),X1)) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.32.0.1','0.6.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.2.1','L')]).
% 0.58/1.01 cnf('0.32.1.0',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),nand(nand(X1,X1),X1)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.32.0.2']),
% 0.58/1.01 [weight('<459,8,2,[0,0,0,22]>')]).
% 0.58/1.01 cnf('0.32.2.0',plain,
% 0.58/1.01 ( nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),nand(nand(X1,X1),X1)) = nand(X1,X1) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_32]).
% 0.58/1.01 cnf('0.33.0.0',plain,
% 0.58/1.01 ( nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))) = nand(nand(X1,nand(nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),X1),X1)),nand(X1,X1)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.1.2.0','0.32.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2','L')]).
% 0.58/1.01 cnf('0.33.0.1',plain,
% 0.58/1.01 ( nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))) = nand(nand(X1,nand(nand(X1,X1),X1)),nand(X1,X1)) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.33.0.0','0.18.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.1.2.1','L')]).
% 0.58/1.01 cnf('0.33.0.2',plain,
% 0.58/1.01 ( nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))) = nand(nand(X1,X1),nand(X1,X1)) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.33.0.1','0.6.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.1','L')]).
% 0.58/1.01 cnf('0.33.0.3',plain,
% 0.58/1.01 ( nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))) = X1 ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.33.0.2','0.7.2.0',theory(equality)]),
% 0.58/1.01 [pos('R','L')]).
% 0.58/1.01 cnf('0.33.1.0',plain,
% 0.58/1.01 ( nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))) = X1 ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.33.0.3']),
% 0.58/1.01 [weight('<209,32,1,[0,0,0,8]>')]).
% 0.58/1.01 cnf('0.33.2.0',plain,
% 0.58/1.01 ( nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))) = X1 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.58/1.01 [u,rule_33]).
% 0.58/1.01 cnf('0.43.0.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X1,X1),X1)) = nand(X1,nand(nand(X1,nand(nand(X1,X1),X1)),nand(X2,nand(X1,nand(X3,X1))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.2.2.0','0.33.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1','L')]).
% 0.58/1.01 cnf('0.43.0.1',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(X1,nand(nand(X1,nand(nand(X1,X1),X1)),nand(X2,nand(X1,nand(X3,X1))))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.43.0.0','0.6.2.0',theory(equality)]),
% 0.58/1.01 [pos('L','L')]).
% 0.58/1.01 cnf('0.43.0.2',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(X1,nand(nand(X1,X1),nand(X2,nand(X1,nand(X3,X1))))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.43.0.1','0.6.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.2.1','L')]).
% 0.58/1.01 cnf('0.43.1.0',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(X1,nand(nand(X1,X1),nand(X2,nand(X1,nand(X3,X1))))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.43.0.2']),
% 0.58/1.01 [weight('<237,33,2,[0,0,0,1]>')]).
% 0.58/1.01 cnf('0.43.2.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X1,X1),nand(X2,nand(X1,nand(X3,X1))))) = nand(X1,X1) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_43]).
% 0.58/1.01 cnf('0.44.0.0',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(X1,nand(nand(X1,X1),X2)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.43.2.0','0.15.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.2','L')]).
% 0.58/1.01 cnf('0.44.1.0',plain,
% 0.58/1.01 ( nand(X1,X1) = nand(X1,nand(nand(X1,X1),X2)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.58/1.01 [weight('<87,43,15,[1,0,0,6]>')]).
% 0.58/1.01 cnf('0.44.2.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X1,X1),X2)) = nand(X1,X1) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_44]).
% 0.58/1.01 cnf('0.53.0.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X2,X1),X1)) = nand(nand(nand(X3,X1),nand(nand(nand(X1,nand(nand(X2,X1),X1)),nand(X3,X1)),nand(X3,X1))),X2) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2','L')]).
% 0.58/1.01 cnf('0.53.1.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(X2,X1),X1)) = nand(nand(nand(X3,X1),nand(nand(nand(X1,nand(nand(X2,X1),X1)),nand(X3,X1)),nand(X3,X1))),X2) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.58/1.01 [weight('<?,1,1,[0,0,0,8]>')]).
% 0.58/1.01 cnf('0.53.2.0',plain,
% 0.58/1.01 ( nand(nand(nand(X1,X2),nand(nand(nand(X2,nand(nand(X3,X2),X2)),nand(X1,X2)),nand(X1,X2))),X3) = nand(X2,nand(nand(X3,X2),X2)) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_53]).
% 0.58/1.01 cnf('0.54.0.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(nand(nand(X2,X1),nand(X2,X1)),X1),X1)) = nand(nand(nand(X2,X1),nand(nand(nand(X2,X1),nand(X2,X1)),nand(X2,X1))),nand(nand(X2,X1),nand(X2,X1))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.53.2.0','0.12.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.2.1','L')]).
% 0.58/1.01 cnf('0.54.0.1',plain,
% 0.58/1.01 ( nand(X1,nand(nand(nand(nand(X2,X1),nand(X2,X1)),X1),X1)) = nand(X2,X1) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.54.0.0','0.10.2.0',theory(equality)]),
% 0.58/1.01 [pos('R','L')]).
% 0.58/1.01 cnf('0.54.1.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(nand(nand(X2,X1),nand(X2,X1)),X1),X1)) = nand(X2,X1) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.54.0.1']),
% 0.58/1.01 [weight('<237,53,12,[1,0,0,6]>')]).
% 0.58/1.01 cnf('0.54.2.0',plain,
% 0.58/1.01 ( nand(X1,nand(nand(nand(nand(X2,X1),nand(X2,X1)),X1),X1)) = nand(X2,X1) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.58/1.01 [u,rule_54]).
% 0.58/1.01 cnf('0.55.0.0',plain,
% 0.58/1.01 ( X1 = nand(nand(X1,nand(nand(X1,X1),X1)),nand(X2,X1)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.1.2.0','0.54.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2','L')]).
% 0.58/1.01 cnf('0.55.0.1',plain,
% 0.58/1.01 ( X1 = nand(nand(X1,X1),nand(X2,X1)) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.55.0.0','0.44.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.1','L')]).
% 0.58/1.01 cnf('0.55.1.0',plain,
% 0.58/1.01 ( X1 = nand(nand(X1,X1),nand(X2,X1)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.55.0.1']),
% 0.58/1.01 [weight('<71,54,1,[0,0,0,8]>')]).
% 0.58/1.01 cnf('0.55.2.0',plain,
% 0.58/1.01 ( nand(nand(X1,X1),nand(X2,X1)) = X1 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_55]).
% 0.58/1.01 cnf('1.0.0.0',conjecture,
% 0.58/1.01 ( nand(nand(a,a),nand(b,a)) = a ),
% 0.58/1.01 file('/tmp/WALDMEISTER_4736_n024',conjecture_1)).
% 0.58/1.01 cnf('1.0.0.1',plain,
% 0.58/1.01 ( a = a ),
% 0.58/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.55.2.0',theory(equality)]),
% 0.58/1.01 [pos('L','L')]).
% 0.58/1.01 cnf('1.0.0.2',plain,
% 0.58/1.01 ( $true ),
% 0.58/1.01 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.58/1.01 [conjecture_1]).
% 0.58/1.01
% 0.58/1.01 Proved Goals:
% 0.58/1.01 No. 1: nand(nand(a,a),nand(b,a)) ?= a joined, current: a = a
% 0.58/1.01 1 goal was specified, which was proved.
% 0.58/1.01 % SZS output end CNFRefutation
% 0.58/1.01 #END OF PROOF
% 0.58/1.01
% 0.58/1.01 Problem WALDMEISTER_4736_n024
% 0.58/1.01 CPs.gen 3583
% 0.58/1.01 CPs.reexp 0
% 0.58/1.01 Select 160
% 0.58/1.01 R 55
% 0.58/1.01 E 0
% 0.58/1.01 vsize 6.4M
% 0.58/1.01 rss 3.7M
% 0.58/1.01 process.time 0.041s
% 0.58/1.01 wallclock.time 0.041s
% 0.58/1.01 status S
% 0.58/1.01
% 0.58/1.01
% 0.58/1.01 Waldmeister states: Goal proved.
% 0.58/1.01 % SZS status Unsatisfiable
%------------------------------------------------------------------------------