TSTP Solution File: BOO076-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO076-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n018.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 13.80s 14.20s
% Output : CNFRefutation 13.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO076-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n018.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 : Wed Jun 1 19:21:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.59/0.97 ********************************************************************************
% 0.59/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.97 * |/ | \/ | *
% 0.59/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.97 * A. Jaeger and B. Loechner | | *
% 0.59/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.97 ********************************************************************************
% 0.59/0.97
% 0.59/0.97
% 0.59/0.97 Goals:
% 0.59/0.97 ------
% 0.59/0.97
% 0.59/0.97 ( 1) nand(nand(nand(c,b),b),a) ?=? nand(a,nand(b,nand(a,c)))
% 0.59/0.97
% 0.59/0.97 Detected structure: Orkus
% 0.59/0.97 ********************************************************************************
% 0.59/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.97 ********************************************************************************
% 0.59/0.97
% 13.80/14.19 joined goal: 1 nand(nand(nand(c,b),b),a) ?= nand(a,nand(b,nand(a,c))) to nand(a,nand(b,nand(c,c)))
% 13.80/14.19 goal joined
% 13.80/14.20 % SZS status Unsatisfiable
% 13.80/14.20 #START OF PROOF
% 13.80/14.20 % SZS output start CNFRefutation
% 13.80/14.20 cnf('0.1.0.0',axiom,
% 13.80/14.20 ( X1 = nand(nand(X2,nand(nand(X1,X2),X2)),nand(X1,nand(X3,X2))) ),
% 13.80/14.20 file('/tmp/WALDMEISTER_15663_n018')).
% 13.80/14.20 cnf('0.1.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X2,nand(nand(X1,X2),X2)),nand(X1,nand(X3,X2))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.1.0.0']),
% 13.80/14.20 [weight('<0,0,0,[0,0,0,1]>')]).
% 13.80/14.20 cnf('0.1.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,nand(X3,X1))) = X2 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_1]).
% 13.80/14.20 cnf('0.2.0.0',plain,
% 13.80/14.20 ( 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))))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1.2.1','L')]).
% 13.80/14.20 cnf('0.2.1.0',plain,
% 13.80/14.20 ( 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))))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.2.0.0']),
% 13.80/14.20 [weight('<?,1,1,[0,0,0,4]>')]).
% 13.80/14.20 cnf('0.2.2.0',plain,
% 13.80/14.20 ( 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)) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_2]).
% 13.80/14.20 cnf('0.3.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(nand(X2,nand(X3,X4)),nand(nand(X1,nand(X2,nand(X3,X4))),nand(X2,nand(X3,X4)))),nand(X1,X2)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.3.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(nand(X2,nand(X3,X4)),nand(nand(X1,nand(X2,nand(X3,X4))),nand(X2,nand(X3,X4)))),nand(X1,X2)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.3.0.0']),
% 13.80/14.20 [weight('<599,1,1,[0,0,0,10]>')]).
% 13.80/14.20 cnf('0.3.2.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,nand(X2,X3)),nand(nand(X4,nand(X1,nand(X2,X3))),nand(X1,nand(X2,X3)))),nand(X4,X1)) = X4 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_3]).
% 13.80/14.20 cnf('0.4.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(nand(X2,X3),nand(nand(X1,nand(X2,X3)),nand(X2,X3))),nand(X1,X2)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.4.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(nand(X2,X3),nand(nand(X1,nand(X2,X3)),nand(X2,X3))),nand(X1,X2)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.4.0.0']),
% 13.80/14.20 [weight('<341,3,1,[0,0,0,10]>')]).
% 13.80/14.20 cnf('0.4.2.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),nand(nand(X3,nand(X1,X2)),nand(X1,X2))),nand(X3,X1)) = X3 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_4]).
% 13.80/14.20 cnf('0.5.0.0',plain,
% 13.80/14.20 ( 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)))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1.1','L')]).
% 13.80/14.20 cnf('0.5.0.1',plain,
% 13.80/14.20 ( 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)))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.5.0.0','0.1.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1.2.1.2','L')]).
% 13.80/14.20 cnf('0.5.0.2',plain,
% 13.80/14.20 ( X1 = nand(nand(X2,nand(nand(X1,X2),X2)),nand(X1,nand(X3,nand(nand(X2,X3),X3)))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.5.0.1','0.1.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1.2.2','L')]).
% 13.80/14.20 cnf('0.5.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X2,nand(nand(X1,X2),X2)),nand(X1,nand(X3,nand(nand(X2,X3),X3)))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.5.0.2']),
% 13.80/14.20 [weight('<341,4,1,[1,0,0,2]>')]).
% 13.80/14.20 cnf('0.5.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,nand(X3,nand(nand(X1,X3),X3)))) = X2 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_5]).
% 13.80/14.20 cnf('0.6.0.0',plain,
% 13.80/14.20 ( 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) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.2.2.0','0.5.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.6.0.1',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X1,X1),X1)) = nand(X1,X1) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.6.0.0','0.5.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1','L')]).
% 13.80/14.20 cnf('0.6.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X1,X1),X1)) = nand(X1,X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.6.0.1']),
% 13.80/14.20 [weight('<87,5,2,[0,0,0,14]>')]).
% 13.80/14.20 cnf('0.6.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X1,X1),X1)) = nand(X1,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_6]).
% 13.80/14.20 cnf('0.7.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(nand(X1,X1),X1)),nand(X1,X1)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.1.2.0','0.6.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.7.0.1',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,X1),nand(X1,X1)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.7.0.0','0.6.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1','L')]).
% 13.80/14.20 cnf('0.7.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,X1),nand(X1,X1)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.7.0.1']),
% 13.80/14.20 [weight('<71,6,1,[0,0,0,8]>')]).
% 13.80/14.20 cnf('0.7.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(X1,X1)) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_7]).
% 13.80/14.20 cnf('0.8.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,X1),nand(X1,nand(X2,X1))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.1.2.0','0.6.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('0.8.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,X1),nand(X1,nand(X2,X1))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.8.0.0']),
% 13.80/14.20 [weight('<109,6,1,[0,0,0,1]>')]).
% 13.80/14.20 cnf('0.8.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(X1,nand(X2,X1))) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_8]).
% 13.80/14.20 cnf('0.9.0.0',plain,
% 13.80/14.20 ( 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))))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1.2.2','L')]).
% 13.80/14.20 cnf('0.9.0.1',plain,
% 13.80/14.20 ( 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))))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.9.0.0','0.6.2.0',theory(equality)]),
% 13.80/14.20 [pos('L','L')]).
% 13.80/14.20 cnf('0.9.0.2',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(nand(X1,nand(nand(X1,X1),X1)),nand(X2,nand(X1,nand(nand(X1,X1),X1))))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.9.0.1','0.1.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1','L')]).
% 13.80/14.20 cnf('0.9.0.3',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(nand(X1,X1),nand(X2,nand(X1,nand(nand(X1,X1),X1))))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.9.0.2','0.6.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2.1','L')]).
% 13.80/14.20 cnf('0.9.0.4',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(nand(X1,X1),nand(X2,nand(X1,X1)))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.9.0.3','0.6.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2.2.2','L')]).
% 13.80/14.20 cnf('0.9.1.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(nand(X1,X1),nand(X2,nand(X1,X1)))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.9.0.4']),
% 13.80/14.20 [weight('<179,6,2,[0,0,0,9]>')]).
% 13.80/14.20 cnf('0.9.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X1,X1),nand(X2,nand(X1,X1)))) = nand(X1,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_9]).
% 13.80/14.20 cnf('0.10.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X2,nand(nand(X1,X2),X2)),nand(X1,X1)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.5.2.0','0.9.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.10.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X2,nand(nand(X1,X2),X2)),nand(X1,X1)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.10.0.0']),
% 13.80/14.20 [weight('<155,9,5,[0,0,0,8]>')]).
% 13.80/14.20 cnf('0.10.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,X2)) = X2 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_10]).
% 13.80/14.20 cnf('0.12.0.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(nand(X2,nand(nand(nand(X1,X1),X2),X2)),X1) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.12.1.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(nand(X2,nand(nand(nand(X1,X1),X2),X2)),X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.12.0.0']),
% 13.80/14.20 [weight('<179,8,5,[0,0,0,8]>')]).
% 13.80/14.20 cnf('0.12.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(nand(nand(X2,X2),X1),X1)),X2) = nand(X2,X2) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_12]).
% 13.80/14.20 cnf('0.14.0.0',plain,
% 13.80/14.20 ( 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)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.4.2.0','0.10.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1.2.1','L')]).
% 13.80/14.20 cnf('0.14.0.1',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X1),X1)) = nand(X2,nand(nand(X1,nand(nand(X2,X1),X1)),X2)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.14.0.0','0.8.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1','L')]).
% 13.80/14.20 cnf('0.14.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X1),X1)) = nand(X2,nand(nand(X1,nand(nand(X2,X1),X1)),X2)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.14.0.1']),
% 13.80/14.20 [weight('<227,10,4,[0,0,0,6]>')]).
% 13.80/14.20 cnf('0.14.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,nand(nand(X1,X2),X2)),X1)) = nand(X2,nand(nand(X1,X2),X2)) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_14]).
% 13.80/14.20 cnf('0.15.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(nand(X1,X1),X1)),nand(X2,nand(nand(X1,X2),X2))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.1.2.0','0.14.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.15.0.1',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,X1),nand(X2,nand(nand(X1,X2),X2))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.15.0.0','0.6.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1','L')]).
% 13.80/14.20 cnf('0.15.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,X1),nand(X2,nand(nand(X1,X2),X2))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.15.0.1']),
% 13.80/14.20 [weight('<155,14,1,[0,0,0,8]>')]).
% 13.80/14.20 cnf('0.15.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(X2,nand(nand(X1,X2),X2))) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_15]).
% 13.80/14.20 cnf('0.18.0.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),nand(nand(X1,X1),nand(X1,X1))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.10.2.0','0.8.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1.2.1','L')]).
% 13.80/14.20 cnf('0.18.0.1',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),X1) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.18.0.0','0.7.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2','L')]).
% 13.80/14.20 cnf('0.18.1.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.18.0.1']),
% 13.80/14.20 [weight('<303,10,8,[1,0,0,4]>')]).
% 13.80/14.20 cnf('0.18.2.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),X1) = nand(X1,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_18]).
% 13.80/14.20 cnf('0.24.0.0',plain,
% 13.80/14.20 ( 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)),nand(X3,nand(X2,X2)))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.1.2.0','0.10.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1.2.1','L')]).
% 13.80/14.20 cnf('0.24.0.1',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X1),X1)) = nand(X2,nand(nand(X1,nand(nand(X2,X1),X1)),nand(X3,nand(X2,X2)))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.24.0.0','0.8.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1','L')]).
% 13.80/14.20 cnf('0.24.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X1),X1)) = nand(X2,nand(nand(X1,nand(nand(X2,X1),X1)),nand(X3,nand(X2,X2)))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.24.0.1']),
% 13.80/14.20 [weight('<367,10,1,[0,0,0,4]>')]).
% 13.80/14.20 cnf('0.24.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,nand(nand(X1,X2),X2)),nand(X3,nand(X1,X1)))) = nand(X2,nand(nand(X1,X2),X2)) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_24]).
% 13.80/14.20 cnf('0.25.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X1),X1)) = nand(nand(X2,nand(nand(nand(X1,nand(nand(X2,X1),X1)),X2),X2)),X2) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.1.2.0','0.10.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.25.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X1),X1)) = nand(nand(X2,nand(nand(nand(X1,nand(nand(X2,X1),X1)),X2),X2)),X2) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.25.0.0']),
% 13.80/14.20 [weight('<367,10,1,[0,0,0,8]>')]).
% 13.80/14.20 cnf('0.25.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(nand(nand(X2,nand(nand(X1,X2),X2)),X1),X1)),X1) = nand(X2,nand(nand(X1,X2),X2)) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_25]).
% 13.80/14.20 cnf('0.32.0.0',plain,
% 13.80/14.20 ( 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)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.32.0.1',plain,
% 13.80/14.20 ( 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)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.32.0.0','0.6.2.0',theory(equality)]),
% 13.80/14.20 [pos('L','L')]).
% 13.80/14.20 cnf('0.32.0.2',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),nand(nand(X1,X1),X1)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.32.0.1','0.6.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2.1','L')]).
% 13.80/14.20 cnf('0.32.1.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),nand(nand(X1,X1),X1)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.32.0.2']),
% 13.80/14.20 [weight('<459,8,2,[0,0,0,22]>')]).
% 13.80/14.20 cnf('0.32.2.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),nand(nand(X1,X1),X1)) = nand(X1,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_32]).
% 13.80/14.20 cnf('0.33.0.0',plain,
% 13.80/14.20 ( 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)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.1.2.0','0.32.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.33.0.1',plain,
% 13.80/14.20 ( nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))) = nand(nand(X1,nand(nand(X1,X1),X1)),nand(X1,X1)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.33.0.0','0.18.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1.2.1','L')]).
% 13.80/14.20 cnf('0.33.0.2',plain,
% 13.80/14.20 ( nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))) = nand(nand(X1,X1),nand(X1,X1)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.33.0.1','0.6.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1','L')]).
% 13.80/14.20 cnf('0.33.0.3',plain,
% 13.80/14.20 ( nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))) = X1 ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.33.0.2','0.7.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('0.33.1.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))) = X1 ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.33.0.3']),
% 13.80/14.20 [weight('<209,32,1,[0,0,0,8]>')]).
% 13.80/14.20 cnf('0.33.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_33]).
% 13.80/14.20 cnf('0.34.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X1)) = nand(X1,nand(nand(X1,nand(X2,X1)),nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.33.2.0','0.33.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('0.34.0.1',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X1)) = nand(X1,nand(nand(X1,nand(X2,X1)),X1)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.34.0.0','0.33.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2.2','L')]).
% 13.80/14.20 cnf('0.34.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X1)) = nand(X1,nand(nand(X1,nand(X2,X1)),X1)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.34.0.1']),
% 13.80/14.20 [weight('<149,33,33,[0,0,0,1]>')]).
% 13.80/14.20 cnf('0.34.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X1,nand(X2,X1)),X1)) = nand(X1,nand(X2,X1)) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_34]).
% 13.80/14.20 cnf('0.43.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X1,X1),X1)) = nand(X1,nand(nand(X1,nand(nand(X1,X1),X1)),nand(X2,nand(X1,nand(X3,X1))))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.2.2.0','0.33.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('0.43.0.1',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(nand(X1,nand(nand(X1,X1),X1)),nand(X2,nand(X1,nand(X3,X1))))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.43.0.0','0.6.2.0',theory(equality)]),
% 13.80/14.20 [pos('L','L')]).
% 13.80/14.20 cnf('0.43.0.2',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(nand(X1,X1),nand(X2,nand(X1,nand(X3,X1))))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.43.0.1','0.6.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2.1','L')]).
% 13.80/14.20 cnf('0.43.1.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(nand(X1,X1),nand(X2,nand(X1,nand(X3,X1))))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.43.0.2']),
% 13.80/14.20 [weight('<237,33,2,[0,0,0,1]>')]).
% 13.80/14.20 cnf('0.43.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X1,X1),nand(X2,nand(X1,nand(X3,X1))))) = nand(X1,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_43]).
% 13.80/14.20 cnf('0.44.0.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(nand(X1,X1),X2)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.43.2.0','0.15.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.44.1.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(nand(X1,X1),X2)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.44.0.0']),
% 13.80/14.20 [weight('<87,43,15,[1,0,0,6]>')]).
% 13.80/14.20 cnf('0.44.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X1,X1),X2)) = nand(X1,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_44]).
% 13.80/14.20 cnf('0.45.0.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(nand(X1,X1),X1)),nand(X1,nand(nand(X1,X1),X1))) = nand(nand(X1,nand(nand(X1,X1),X1)),nand(X1,X2)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.44.2.0','0.1.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.1','L')]).
% 13.80/14.20 cnf('0.45.0.1',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(nand(X1,X1),X1)),nand(X1,X2)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.45.0.0','0.1.2.0',theory(equality)]),
% 13.80/14.20 [pos('L','L')]).
% 13.80/14.20 cnf('0.45.0.2',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,X1),nand(X1,X2)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.45.0.1','0.44.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1','L')]).
% 13.80/14.20 cnf('0.45.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,X1),nand(X1,X2)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.45.0.2']),
% 13.80/14.20 [weight('<71,44,1,[1,0,0,3]>')]).
% 13.80/14.20 cnf('0.45.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(X1,X2)) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_45]).
% 13.80/14.20 cnf('0.53.0.0',plain,
% 13.80/14.20 ( 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) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.53.1.0',plain,
% 13.80/14.20 ( 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) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.53.0.0']),
% 13.80/14.20 [weight('<?,1,1,[0,0,0,8]>')]).
% 13.80/14.20 cnf('0.53.2.0',plain,
% 13.80/14.20 ( 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)) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_53]).
% 13.80/14.20 cnf('0.54.0.0',plain,
% 13.80/14.20 ( 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))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.53.2.0','0.12.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1.2.1','L')]).
% 13.80/14.20 cnf('0.54.0.1',plain,
% 13.80/14.20 ( nand(X1,nand(nand(nand(nand(X2,X1),nand(X2,X1)),X1),X1)) = nand(X2,X1) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.54.0.0','0.10.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('0.54.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(nand(nand(X2,X1),nand(X2,X1)),X1),X1)) = nand(X2,X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.54.0.1']),
% 13.80/14.20 [weight('<237,53,12,[1,0,0,6]>')]).
% 13.80/14.20 cnf('0.54.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(nand(nand(X2,X1),nand(X2,X1)),X1),X1)) = nand(X2,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_54]).
% 13.80/14.20 cnf('0.57.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(nand(nand(X2,X1),nand(X2,X1)),X1),X1)) = nand(X1,nand(nand(X2,X1),X1)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.34.2.0','0.54.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.1','L')]).
% 13.80/14.20 cnf('0.57.0.1',plain,
% 13.80/14.20 ( nand(X2,X1) = nand(X1,nand(nand(X2,X1),X1)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.57.0.0','0.54.2.0',theory(equality)]),
% 13.80/14.20 [pos('L','L')]).
% 13.80/14.20 cnf('0.57.1.0',plain,
% 13.80/14.20 ( nand(X2,X1) = nand(X1,nand(nand(X2,X1),X1)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.57.0.1']),
% 13.80/14.20 [weight('<87,54,34,[0,0,0,3]>')]).
% 13.80/14.20 cnf('0.57.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X1),X1)) = nand(X2,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_57]).
% 13.80/14.20 cnf('0.58.0.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,X2)) = X2 ),
% 13.80/14.20 inference(interreduction_right,[status(thm)],['0.10.2.0'])).
% 13.80/14.20 cnf('0.58.0.1',plain,
% 13.80/14.20 ( nand(nand(X2,X1),nand(X2,X2)) = X2 ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.58.0.0','0.57.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('0.58.1.0',plain,
% 13.80/14.20 ( nand(nand(X2,X1),nand(X2,X2)) = X2 ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.58.0.1']),
% 13.80/14.20 [weight('<71,10,57,[0,0,0,0]>')]).
% 13.80/14.20 cnf('0.58.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X2),nand(X1,X1)) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_58]).
% 13.80/14.20 cnf('0.59.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X2,X1),nand(X1,X1)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.58.2.0','0.57.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('0.59.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X2,X1),nand(X1,X1)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.59.0.0']),
% 13.80/14.20 [weight('<71,58,57,[1,0,0,1]>')]).
% 13.80/14.20 cnf('0.59.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X2),nand(X2,X2)) = X2 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_59]).
% 13.80/14.20 cnf('0.62.0.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(nand(nand(X2,nand(nand(X1,X2),X2)),X1),X1)),X1) = nand(X2,nand(nand(X1,X2),X2)) ),
% 13.80/14.20 inference(interreduction_right,[status(thm)],['0.25.2.0'])).
% 13.80/14.20 cnf('0.62.0.1',plain,
% 13.80/14.20 ( nand(nand(nand(X2,nand(nand(X1,X2),X2)),X1),X1) = nand(X2,nand(nand(X1,X2),X2)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.62.0.0','0.57.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('0.62.0.2',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),X1),X1) = nand(X2,nand(nand(X1,X2),X2)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.62.0.1','0.57.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1.1','L')]).
% 13.80/14.20 cnf('0.62.0.3',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),X1),X1) = nand(X1,X2) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.62.0.2','0.57.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('0.62.1.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),X1),X1) = nand(X1,X2) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.62.0.3']),
% 13.80/14.20 [weight('<87,25,57,[0,0,0,0]>')]).
% 13.80/14.20 cnf('0.62.2.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),X1),X1) = nand(X1,X2) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_62]).
% 13.80/14.20 cnf('0.63.0.0',plain,
% 13.80/14.20 ( nand(nand(X1,X2),X1) = nand(X1,nand(X1,X2)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.57.2.0','0.62.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.63.1.0',plain,
% 13.80/14.20 ( nand(nand(X1,X2),X1) = nand(X1,nand(X1,X2)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.63.0.0']),
% 13.80/14.20 [weight('<65,62,57,[0,0,0,2]>')]).
% 13.80/14.20 cnf('0.63.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X2),X1) = nand(X1,nand(X1,X2)) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_63]).
% 13.80/14.20 cnf('0.64.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,nand(nand(X2,X1),X1))) = nand(nand(X2,X1),X1) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.63.2.0','0.57.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('0.64.0.1',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X1)) = nand(nand(X2,X1),X1) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.64.0.0','0.57.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.64.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X1)) = nand(nand(X2,X1),X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.64.0.1']),
% 13.80/14.20 [weight('<65,63,57,[1,0,0,1]>')]).
% 13.80/14.20 cnf('0.64.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X2),X2) = nand(X2,nand(X1,X2)) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_64]).
% 13.80/14.20 cnf('0.68.0.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,nand(X3,X1))) = X2 ),
% 13.80/14.20 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 13.80/14.20 cnf('0.68.0.1',plain,
% 13.80/14.20 ( nand(nand(X2,X1),nand(X2,nand(X3,X1))) = X2 ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.68.0.0','0.57.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('0.68.1.0',plain,
% 13.80/14.20 ( nand(nand(X2,X1),nand(X2,nand(X3,X1))) = X2 ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.68.0.1']),
% 13.80/14.20 [weight('<109,1,57,[0,0,0,0]>')]).
% 13.80/14.20 cnf('0.68.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X2),nand(X1,nand(X3,X2))) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_68]).
% 13.80/14.20 cnf('0.70.0.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,nand(X3,nand(nand(X1,X3),X3)))) = X2 ),
% 13.80/14.20 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 13.80/14.20 cnf('0.70.0.1',plain,
% 13.80/14.20 ( nand(nand(X2,X1),nand(X2,nand(X3,nand(nand(X1,X3),X3)))) = X2 ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.70.0.0','0.57.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('0.70.0.2',plain,
% 13.80/14.20 ( nand(nand(X2,X1),nand(X2,nand(X1,X3))) = X2 ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.70.0.1','0.57.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.70.1.0',plain,
% 13.80/14.20 ( nand(nand(X2,X1),nand(X2,nand(X1,X3))) = X2 ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.70.0.2']),
% 13.80/14.20 [weight('<109,5,57,[0,0,0,0]>')]).
% 13.80/14.20 cnf('0.70.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X2),nand(X1,nand(X2,X3))) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_70]).
% 13.80/14.20 cnf('0.75.0.0',plain,
% 13.80/14.20 ( 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)) ),
% 13.80/14.20 inference(interreduction_right,[status(thm)],['0.53.2.0'])).
% 13.80/14.20 cnf('0.75.0.1',plain,
% 13.80/14.20 ( nand(nand(nand(X2,nand(nand(X3,X2),X2)),nand(X1,X2)),X3) = nand(X2,nand(nand(X3,X2),X2)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.75.0.0','0.57.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('0.75.0.2',plain,
% 13.80/14.20 ( nand(nand(nand(X3,X2),nand(X1,X2)),X3) = nand(X2,nand(nand(X3,X2),X2)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.75.0.1','0.57.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1.1','L')]).
% 13.80/14.20 cnf('0.75.0.3',plain,
% 13.80/14.20 ( nand(nand(nand(X3,X2),nand(X1,X2)),X3) = nand(X3,X2) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.75.0.2','0.57.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('0.75.1.0',plain,
% 13.80/14.20 ( nand(nand(nand(X3,X2),nand(X1,X2)),X3) = nand(X3,X2) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.75.0.3']),
% 13.80/14.20 [weight('<129,53,57,[0,0,0,0]>')]).
% 13.80/14.20 cnf('0.75.2.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),nand(X3,X2)),X1) = nand(X1,X2) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_75]).
% 13.80/14.20 cnf('0.76.0.0',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X2,X1) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.75.2.0','0.59.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('0.76.1.0',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X2,X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.76.0.0']),
% 13.80/14.20 [weight('<48,75,59,[1,0,0,1]>')]).
% 13.80/14.20 cnf('0.76.2.0',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X2,X1) ),
% 13.80/14.20 inference(activate,[status(thm)],['0.76.1.0']),
% 13.80/14.20 [equation_1]).
% 13.80/14.20 cnf('0.77.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X2,X1),nand(X1,nand(X3,X2))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.68.2.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('0.77.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X2,X1),nand(X1,nand(X3,X2))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.77.0.0']),
% 13.80/14.20 [weight('<109,76,68,[0,0,0,1]>')]).
% 13.80/14.20 cnf('0.77.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X2),nand(X2,nand(X3,X1))) = X2 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_76]).
% 13.80/14.20 cnf('0.78.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,X2),nand(nand(X3,X2),X1)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.68.2.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.78.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,X2),nand(nand(X3,X2),X1)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.78.0.0']),
% 13.80/14.20 [weight('<109,76,68,[0,0,0,4]>')]).
% 13.80/14.20 cnf('0.78.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X2),nand(nand(X3,X2),X1)) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_77]).
% 13.80/14.20 cnf('0.79.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X2,X1),nand(X1,nand(X2,X3))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.70.2.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('0.79.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X2,X1),nand(X1,nand(X2,X3))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.79.0.0']),
% 13.80/14.20 [weight('<109,76,70,[0,0,0,1]>')]).
% 13.80/14.20 cnf('0.79.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X2),nand(X2,nand(X1,X3))) = X2 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_78]).
% 13.80/14.20 cnf('0.80.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,X2),nand(nand(X2,X3),X1)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.70.2.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.80.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,X2),nand(nand(X2,X3),X1)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.80.0.0']),
% 13.80/14.20 [weight('<109,76,70,[0,0,0,4]>')]).
% 13.80/14.20 cnf('0.80.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X2),nand(nand(X2,X3),X1)) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_79]).
% 13.80/14.20 cnf('0.86.0.0',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(nand(nand(X1,X2),nand(X3,X1)),X2) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.68.2.0','0.77.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.86.1.0',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(nand(nand(X1,X2),nand(X3,X1)),X2) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.86.0.0']),
% 13.80/14.20 [weight('<129,77,68,[0,0,0,4]>')]).
% 13.80/14.20 cnf('0.86.1.1',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X2,nand(nand(X1,X2),nand(X3,X1))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.86.1.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('0.86.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X1),nand(X3,X2))) = nand(X2,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.86.1.1',theory(equality)]),
% 13.80/14.20 [x,rule_85]).
% 13.80/14.20 cnf('0.90.0.0',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(nand(nand(X1,X2),nand(X1,X3)),X2) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.68.2.0','0.79.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.90.1.0',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(nand(nand(X1,X2),nand(X1,X3)),X2) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.90.0.0']),
% 13.80/14.20 [weight('<129,79,68,[0,0,0,4]>')]).
% 13.80/14.20 cnf('0.90.1.1',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X2,nand(nand(X1,X2),nand(X1,X3))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.90.1.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('0.90.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X1),nand(X2,X3))) = nand(X2,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.90.1.1',theory(equality)]),
% 13.80/14.20 [x,rule_89]).
% 13.80/14.20 cnf('0.92.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X3)) = nand(nand(nand(X1,nand(X2,X3)),X3),X1) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.78.2.0','0.68.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.92.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X3)) = nand(nand(nand(X1,nand(X2,X3)),X3),X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.92.0.0']),
% 13.80/14.20 [weight('<149,78,68,[1,0,0,4]>')]).
% 13.80/14.20 cnf('0.92.1.1',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X3)) = nand(X1,nand(nand(X1,nand(X2,X3)),X3)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.92.1.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('0.92.1.2',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X3)) = nand(X1,nand(X3,nand(X1,nand(X2,X3)))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.92.1.1','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2','L')]).
% 13.80/14.20 cnf('0.92.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X1,nand(X3,X2)))) = nand(X1,nand(X3,X2)) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.92.1.2',theory(equality)]),
% 13.80/14.20 [x,rule_91]).
% 13.80/14.20 cnf('0.94.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X2,X1))) = nand(X1,X1) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.92.2.0','0.79.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.94.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X2,X1))) = nand(X1,X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.94.0.0']),
% 13.80/14.20 [weight('<87,92,79,[1,0,0,2]>')]).
% 13.80/14.20 cnf('0.94.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X2,X1))) = nand(X1,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_93]).
% 13.80/14.20 cnf('0.95.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(X1,nand(X2,X2)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.92.2.0','0.94.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.95.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(X1,nand(X2,X2)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.95.0.0']),
% 13.80/14.20 [weight('<120,94,92,[0,0,0,2]>')]).
% 13.80/14.20 cnf('0.95.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(X1,nand(X2,X2)) ),
% 13.80/14.20 inference(activate,[status(thm)],['0.95.1.0']),
% 13.80/14.20 [equation_2]).
% 13.80/14.20 cnf('0.96.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,nand(X2,X2))) = nand(X1,X2) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.95.2.0','0.45.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2','L')]).
% 13.80/14.20 cnf('0.96.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,nand(X2,X2))) = nand(X1,X2) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.96.0.0']),
% 13.80/14.20 [weight('<87,95,45,[1,1,0,2]>')]).
% 13.80/14.20 cnf('0.96.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,nand(X2,X2))) = nand(X1,X2) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_94]).
% 13.80/14.20 cnf('0.98.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X2)) = nand(X1,nand(X2,X1)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.95.2.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.98.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X2)) = nand(X1,nand(X2,X1)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.98.0.0']),
% 13.80/14.20 [weight('<120,95,76,[1,0,0,2]>')]).
% 13.80/14.20 cnf('0.98.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X2)) = nand(X1,nand(X2,X1)) ),
% 13.80/14.20 inference(activate,[status(thm)],['0.98.1.0']),
% 13.80/14.20 [equation_3]).
% 13.80/14.20 cnf('0.99.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(nand(X2,X2),X1) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.95.2.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('0.99.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(nand(X2,X2),X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.99.0.0']),
% 13.80/14.20 [weight('<120,95,76,[1,1,0,0]>')]).
% 13.80/14.20 cnf('0.99.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(nand(X2,X2),X1) ),
% 13.80/14.20 inference(activate,[status(thm)],['0.99.1.0']),
% 13.80/14.20 [equation_4]).
% 13.80/14.20 cnf('0.100.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X1)) = nand(nand(X2,X2),X1) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.98.2.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('L','L')]).
% 13.80/14.20 cnf('0.100.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X1)) = nand(nand(X2,X2),X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.100.0.0']),
% 13.80/14.20 [weight('<120,98,76,[1,0,0,0]>')]).
% 13.80/14.20 cnf('0.100.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X1)) = nand(nand(X2,X2),X1) ),
% 13.80/14.20 inference(activate,[status(thm)],['0.100.1.0']),
% 13.80/14.20 [equation_5]).
% 13.80/14.20 cnf('0.101.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X3)) = nand(nand(nand(X1,nand(X2,X3)),X2),X1) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.78.2.0','0.70.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.101.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X3)) = nand(nand(nand(X1,nand(X2,X3)),X2),X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.101.0.0']),
% 13.80/14.20 [weight('<149,78,70,[1,0,0,4]>')]).
% 13.80/14.20 cnf('0.101.1.1',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X3)) = nand(X1,nand(nand(X1,nand(X2,X3)),X2)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.101.1.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('0.101.1.2',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X3)) = nand(X1,nand(X2,nand(X1,nand(X2,X3)))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.101.1.1','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2','L')]).
% 13.80/14.20 cnf('0.101.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X1,nand(X2,X3)))) = nand(X1,nand(X2,X3)) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.101.1.2',theory(equality)]),
% 13.80/14.20 [x,rule_96]).
% 13.80/14.20 cnf('0.109.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,nand(nand(X1,X2),X2)),nand(X3,nand(X1,X1)))) = nand(X2,nand(nand(X1,X2),X2)) ),
% 13.80/14.20 inference(interreduction_right,[status(thm)],['0.24.2.0'])).
% 13.80/14.20 cnf('0.109.0.1',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X1,X2),nand(X3,nand(X1,X1)))) = nand(X2,nand(nand(X1,X2),X2)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.109.0.0','0.57.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.1','L')]).
% 13.80/14.20 cnf('0.109.0.2',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X1,X2),nand(X3,nand(X1,X1)))) = nand(X1,X2) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.109.0.1','0.57.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('0.109.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X1,X2),nand(X3,nand(X1,X1)))) = nand(X1,X2) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.109.0.2']),
% 13.80/14.20 [weight('<179,24,57,[0,0,0,0]>')]).
% 13.80/14.20 cnf('0.109.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X1,X2),nand(X3,nand(X1,X1)))) = nand(X1,X2) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_104]).
% 13.80/14.20 cnf('0.113.0.0',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X1,nand(nand(X3,nand(X1,X1)),nand(X1,X2))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.78.2.0','0.58.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('0.113.1.0',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X1,nand(nand(X3,nand(X1,X1)),nand(X1,X2))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.113.0.0']),
% 13.80/14.20 [weight('<179,78,58,[1,0,0,1]>')]).
% 13.80/14.20 cnf('0.113.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,nand(X1,X1)),nand(X1,X3))) = nand(X1,X3) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_108]).
% 13.80/14.20 cnf('0.116.0.0',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X2,nand(nand(nand(X2,X2),X3),nand(X1,X2))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.80.2.0','0.59.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('0.116.1.0',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X2,nand(nand(nand(X2,X2),X3),nand(X1,X2))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.116.0.0']),
% 13.80/14.20 [weight('<179,80,59,[1,0,0,1]>')]).
% 13.80/14.20 cnf('0.116.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(nand(X1,X1),X2),nand(X3,X1))) = nand(X3,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_111]).
% 13.80/14.20 cnf('0.149.0.0',plain,
% 13.80/14.20 ( nand(nand(X1,X2),nand(X1,nand(X3,X2))) = nand(nand(X1,nand(X3,X2)),nand(X1,nand(X4,nand(X1,X2)))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.86.2.0','0.68.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.1','L')]).
% 13.80/14.20 cnf('0.149.0.1',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X3,X2)),nand(X1,nand(X4,nand(X1,X2)))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.149.0.0','0.68.2.0',theory(equality)]),
% 13.80/14.20 [pos('L','L')]).
% 13.80/14.20 cnf('0.149.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X3,X2)),nand(X1,nand(X4,nand(X1,X2)))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.149.0.1']),
% 13.80/14.20 [weight('<209,86,68,[1,0,0,3]>')]).
% 13.80/14.20 cnf('0.149.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(X2,X3)),nand(X1,nand(X4,nand(X1,X3)))) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.149.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_144]).
% 13.80/14.20 cnf('0.174.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,X3)),nand(X1,nand(X2,nand(X3,X3)))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.68.2.0','0.95.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.174.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,X3)),nand(X1,nand(X2,nand(X3,X3)))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.174.0.0']),
% 13.80/14.20 [weight('<209,95,68,[0,0,0,6]>')]).
% 13.80/14.20 cnf('0.174.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(X2,X3)),nand(X1,nand(X2,nand(X3,X3)))) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.174.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_169]).
% 13.80/14.20 cnf('0.178.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(nand(X2,X3),X1),nand(X1,nand(X2,nand(X3,X3)))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.77.2.0','0.95.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.178.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(nand(X2,X3),X1),nand(X1,nand(X2,nand(X3,X3)))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.178.0.0']),
% 13.80/14.20 [weight('<209,95,77,[0,0,0,6]>')]).
% 13.80/14.20 cnf('0.178.2.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),X3),nand(X3,nand(X1,nand(X2,X2)))) = X3 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.178.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_173]).
% 13.80/14.20 cnf('0.179.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X2),X2)) = nand(nand(nand(X1,nand(X2,X2)),nand(X1,nand(nand(X2,X2),X2))),X1) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.178.2.0','0.174.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.179.0.1',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X2),X2)) = nand(X1,X1) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.179.0.0','0.70.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1','L')]).
% 13.80/14.20 cnf('0.179.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X2),X2)) = nand(X1,X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.179.0.1']),
% 13.80/14.20 [weight('<120,178,174,[1,0,0,6]>')]).
% 13.80/14.20 cnf('0.179.1.1',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X2,X2))) = nand(X1,X1) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.179.1.0','0.100.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','R')]).
% 13.80/14.20 cnf('0.179.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X2,X2))) = nand(X1,X1) ),
% 13.80/14.20 inference(activate,[status(thm)],['0.179.1.1']),
% 13.80/14.20 [equation_6]).
% 13.80/14.20 cnf('0.179.2.2',plain,
% 13.80/14.20 ( nand(X1,nand(c,nand(c,c))) = nand(X1,X1) ),
% 13.80/14.20 inference(instl,[status(thm)],['0.179.2.0',theory(equality)])).
% 13.80/14.20 cnf('0.180.0.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(X2,nand(X2,X2))) = X1 ),
% 13.80/14.20 inference(cp,[status(thm)],['0.179.2.0','0.45.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('0.180.1.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(X2,nand(X2,X2))) = X1 ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.180.0.0']),
% 13.80/14.20 [weight('<109,179,45,[1,1,0,0]>')]).
% 13.80/14.20 cnf('0.180.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(X2,nand(X2,X2))) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.180.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_174]).
% 13.80/14.20 cnf('0.200.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X2),nand(X3,nand(X3,X3)))) = nand(X1,nand(nand(X3,nand(X3,X3)),nand(X1,X2))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.92.2.0','0.180.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2.2','L')]).
% 13.80/14.20 cnf('0.200.0.1',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X1,nand(nand(X3,nand(X3,X3)),nand(X1,X2))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.200.0.0','0.180.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.200.1.0',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X1,nand(nand(X3,nand(X3,X3)),nand(X1,X2))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.200.0.1']),
% 13.80/14.20 [weight('<179,180,92,[0,0,0,6]>')]).
% 13.80/14.20 cnf('0.200.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,nand(X2,X2)),nand(X1,X3))) = nand(X1,X3) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.200.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_192]).
% 13.80/14.20 cnf('0.230.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,X3)),nand(X1,nand(nand(X2,X2),X3))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.68.2.0','0.100.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.230.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,X3)),nand(X1,nand(nand(X2,X2),X3))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.230.0.0']),
% 13.80/14.20 [weight('<209,100,68,[0,0,0,6]>')]).
% 13.80/14.20 cnf('0.230.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(X2,X3)),nand(X1,nand(nand(X2,X2),X3))) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.230.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_222]).
% 13.80/14.20 cnf('0.231.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(nand(X2,X3),X1),nand(X1,nand(nand(X2,X2),X3))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.77.2.0','0.100.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.231.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(nand(X2,X3),X1),nand(X1,nand(nand(X2,X2),X3))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.231.0.0']),
% 13.80/14.20 [weight('<209,100,77,[0,0,0,6]>')]).
% 13.80/14.20 cnf('0.231.2.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),X3),nand(X3,nand(nand(X1,X1),X2))) = X3 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.231.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_223]).
% 13.80/14.20 cnf('0.238.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,nand(X1,X3))),nand(X1,nand(X4,X3))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.149.2.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('L','L')]).
% 13.80/14.20 cnf('0.238.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,nand(X1,X3))),nand(X1,nand(X4,X3))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.238.0.0']),
% 13.80/14.20 [weight('<209,149,76,[1,0,0,0]>')]).
% 13.80/14.20 cnf('0.238.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(X2,nand(X1,X3))),nand(X1,nand(X4,X3))) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.238.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_230]).
% 13.80/14.20 cnf('0.239.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X1,nand(X2,nand(X1,X3))),X3)) = nand(X1,X1) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.101.2.0','0.238.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.239.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X1,nand(X2,nand(X1,X3))),X3)) = nand(X1,X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.239.0.0']),
% 13.80/14.20 [weight('<179,238,101,[0,0,0,2]>')]).
% 13.80/14.20 cnf('0.239.1.1',plain,
% 13.80/14.20 ( nand(X1,nand(X3,nand(X1,nand(X2,nand(X1,X3))))) = nand(X1,X1) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.239.1.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.239.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X1,nand(X3,nand(X1,X2))))) = nand(X1,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.239.1.1',theory(equality)]),
% 13.80/14.20 [u,rule_231]).
% 13.80/14.20 cnf('0.240.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X3,nand(X2,X1)))) = nand(X1,nand(X2,X2)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.101.2.0','0.239.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.240.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X3,nand(X2,X1)))) = nand(X1,nand(X2,X2)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.240.0.0']),
% 13.80/14.20 [weight('<149,239,101,[0,0,0,2]>')]).
% 13.80/14.20 cnf('0.240.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X3,nand(X2,X1)))) = nand(X1,nand(X2,X2)) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.240.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_232]).
% 13.80/14.20 cnf('0.305.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,nand(nand(nand(X2,X2),X3),nand(X4,nand(nand(X2,X2),nand(X2,X2)))))),nand(X1,nand(nand(X2,X2),X3))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.230.2.0','0.109.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.305.0.1',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,nand(nand(nand(X2,X2),X3),nand(X4,X2)))),nand(X1,nand(nand(X2,X2),X3))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.305.0.0','0.59.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1.2.2.2.2','L')]).
% 13.80/14.20 cnf('0.305.0.2',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X4,X2)),nand(X1,nand(nand(X2,X2),X3))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.305.0.1','0.116.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1.2','L')]).
% 13.80/14.20 cnf('0.305.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X4,X2)),nand(X1,nand(nand(X2,X2),X3))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.305.0.2']),
% 13.80/14.20 [weight('<209,230,109,[1,0,0,8]>')]).
% 13.80/14.20 cnf('0.305.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(X2,X3)),nand(X1,nand(nand(X3,X3),X4))) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.305.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_297]).
% 13.80/14.20 cnf('0.306.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X2),nand(X1,nand(X3,X2)))) = nand(X1,X1) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.92.2.0','0.305.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.306.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X2),nand(X1,nand(X3,X2)))) = nand(X1,X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.306.0.0']),
% 13.80/14.20 [weight('<179,305,92,[0,0,0,2]>')]).
% 13.80/14.20 cnf('0.306.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X2),nand(X1,nand(X3,X2)))) = nand(X1,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.306.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_298]).
% 13.80/14.20 cnf('0.307.0.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(X2,nand(X1,nand(X3,nand(X2,X2))))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.306.2.0','0.45.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.1','L')]).
% 13.80/14.20 cnf('0.307.1.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(X2,nand(X1,nand(X3,nand(X2,X2))))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.307.0.0']),
% 13.80/14.20 [weight('<179,306,45,[1,0,0,3]>')]).
% 13.80/14.20 cnf('0.307.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X1,nand(X3,nand(X2,X2))))) = nand(X1,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.307.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_299]).
% 13.80/14.20 cnf('0.312.0.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(nand(nand(X2,X2),nand(X2,X2)),nand(X1,nand(X3,nand(X3,X2))))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.306.2.0','0.95.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2.2','R')]).
% 13.80/14.20 cnf('0.312.0.1',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(X2,nand(X1,nand(X3,nand(X3,X2))))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.312.0.0','0.59.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2.1','L')]).
% 13.80/14.20 cnf('0.312.1.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(X2,nand(X1,nand(X3,nand(X3,X2))))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.312.0.1']),
% 13.80/14.20 [weight('<179,306,95,[1,0,1,8]>')]).
% 13.80/14.20 cnf('0.312.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X1,nand(X3,nand(X3,X2))))) = nand(X1,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.312.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_304]).
% 13.80/14.20 cnf('0.322.0.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(X2,nand(X2,nand(X3,nand(X1,X1))))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.312.2.0','0.113.2.0',theory(equality)]),
% 13.80/14.20 [pos('L','L')]).
% 13.80/14.20 cnf('0.322.1.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(X2,nand(X2,nand(X3,nand(X1,X1))))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.322.0.0']),
% 13.80/14.20 [weight('<179,312,113,[1,0,0,0]>')]).
% 13.80/14.20 cnf('0.322.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X2,nand(X3,nand(X1,X1))))) = nand(X1,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.322.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_314]).
% 13.80/14.20 cnf('0.323.0.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(X1,X1)) = nand(nand(X1,X1),nand(X2,nand(X2,nand(X3,X1)))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.322.2.0','0.45.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2.2.2','L')]).
% 13.80/14.20 cnf('0.323.0.1',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,X1),nand(X2,nand(X2,nand(X3,X1)))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.323.0.0','0.59.2.0',theory(equality)]),
% 13.80/14.20 [pos('L','L')]).
% 13.80/14.20 cnf('0.323.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,X1),nand(X2,nand(X2,nand(X3,X1)))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.323.0.1']),
% 13.80/14.20 [weight('<155,322,45,[1,0,0,8]>')]).
% 13.80/14.20 cnf('0.323.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(X2,nand(X2,nand(X3,X1)))) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.323.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_315]).
% 13.80/14.20 cnf('0.341.0.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(nand(X2,nand(X3,nand(X2,X1))),X2)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.322.2.0','0.238.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.341.1.0',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(nand(X2,nand(X3,nand(X2,X1))),X2)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.341.0.0']),
% 13.80/14.20 [weight('<179,322,238,[1,0,0,4]>')]).
% 13.80/14.20 cnf('0.341.1.1',plain,
% 13.80/14.20 ( nand(X1,X1) = nand(X1,nand(X2,nand(X2,nand(X3,nand(X2,X1))))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.341.1.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2','L')]).
% 13.80/14.20 cnf('0.341.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X2,nand(X3,nand(X2,X1))))) = nand(X1,X1) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.341.1.1',theory(equality)]),
% 13.80/14.20 [x,rule_333]).
% 13.80/14.20 cnf('0.347.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(nand(X2,nand(nand(nand(X2,X2),X3),nand(X4,nand(nand(X2,X2),nand(X2,X2))))),X1),nand(X1,nand(nand(X2,X2),X3))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.231.2.0','0.109.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.347.0.1',plain,
% 13.80/14.20 ( X1 = nand(nand(nand(X2,nand(nand(nand(X2,X2),X3),nand(X4,X2))),X1),nand(X1,nand(nand(X2,X2),X3))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.347.0.0','0.59.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1.1.2.2.2','L')]).
% 13.80/14.20 cnf('0.347.0.2',plain,
% 13.80/14.20 ( X1 = nand(nand(nand(X4,X2),X1),nand(X1,nand(nand(X2,X2),X3))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.347.0.1','0.116.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1.1','L')]).
% 13.80/14.20 cnf('0.347.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(nand(X4,X2),X1),nand(X1,nand(nand(X2,X2),X3))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.347.0.2']),
% 13.80/14.20 [weight('<209,231,109,[1,0,0,8]>')]).
% 13.80/14.20 cnf('0.347.2.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),X3),nand(X3,nand(nand(X2,X2),X4))) = X3 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.347.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_339]).
% 13.80/14.20 cnf('0.367.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,nand(X2,X3))),nand(X1,nand(nand(nand(X3,X3),nand(X3,X3)),X4))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.305.2.0','0.95.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1.2','R')]).
% 13.80/14.20 cnf('0.367.0.1',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,nand(X2,X3))),nand(X1,nand(X3,X4))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.367.0.0','0.59.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2.2.1','L')]).
% 13.80/14.20 cnf('0.367.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,nand(X2,X3))),nand(X1,nand(X3,X4))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.367.0.1']),
% 13.80/14.20 [weight('<209,305,95,[1,0,1,3]>')]).
% 13.80/14.20 cnf('0.367.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(X2,nand(X2,X3))),nand(X1,nand(X3,X4))) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.367.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_359]).
% 13.80/14.20 cnf('0.373.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(nand(X2,nand(X2,nand(X3,X4))),X1),nand(X1,X4)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.77.2.0','0.323.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.373.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(nand(X2,nand(X2,nand(X3,X4))),X1),nand(X1,X4)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.373.0.0']),
% 13.80/14.20 [weight('<209,323,77,[0,0,0,6]>')]).
% 13.80/14.20 cnf('0.373.1.1',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,X4),nand(nand(X2,nand(X2,nand(X3,X4))),X1)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.373.1.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('0.373.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X2),nand(nand(X3,nand(X3,nand(X4,X2))),X1)) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.373.1.1',theory(equality)]),
% 13.80/14.20 [x,rule_365]).
% 13.80/14.20 cnf('0.446.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,nand(X2,nand(X3,X3)))),nand(X1,nand(nand(X3,X2),X4))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.367.2.0','0.98.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1.2.2','R')]).
% 13.80/14.20 cnf('0.446.0.1',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,X3)),nand(X1,nand(nand(X3,X2),X4))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.446.0.0','0.96.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1.2','L')]).
% 13.80/14.20 cnf('0.446.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,X3)),nand(X1,nand(nand(X3,X2),X4))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.446.0.1']),
% 13.80/14.20 [weight('<209,367,98,[1,0,1,5]>')]).
% 13.80/14.20 cnf('0.446.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,nand(X2,X3)),nand(X1,nand(nand(X3,X2),X4))) = X1 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.446.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_438]).
% 13.80/14.20 cnf('0.448.0.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,nand(X3,X4))),nand(nand(X4,nand(X4,nand(X3,X3))),X1)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.373.2.0','0.240.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.1.2','L')]).
% 13.80/14.20 cnf('0.448.0.1',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,nand(X3,X4))),nand(nand(X4,X3),X1)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.448.0.0','0.96.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2.1','L')]).
% 13.80/14.20 cnf('0.448.1.0',plain,
% 13.80/14.20 ( X1 = nand(nand(X1,nand(X2,nand(X3,X4))),nand(nand(X4,X3),X1)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.448.0.1']),
% 13.80/14.20 [weight('<209,373,240,[1,0,0,7]>')]).
% 13.80/14.20 cnf('0.448.1.1',plain,
% 13.80/14.20 ( X1 = nand(nand(nand(X4,X3),X1),nand(X1,nand(X2,nand(X3,X4)))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.448.1.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('0.448.2.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),X3),nand(X3,nand(X4,nand(X2,X1)))) = X3 ),
% 13.80/14.20 inference(orient,[status(thm)],['0.448.1.1',theory(equality)]),
% 13.80/14.20 [x,rule_440]).
% 13.80/14.20 cnf('0.454.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(X1,nand(X2,nand(X3,nand(X3,X3)))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.95.2.0','0.179.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2','R')]).
% 13.80/14.20 cnf('0.454.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(X1,nand(X2,nand(X3,nand(X3,X3)))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.454.0.0']),
% 13.80/14.20 [weight('<224,179,95,[0,1,1,2]>')]).
% 13.80/14.20 cnf('0.454.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(X1,nand(X2,nand(X3,nand(X3,X3)))) ),
% 13.80/14.20 inference(activate,[status(thm)],['0.454.1.0']),
% 13.80/14.20 [equation_9]).
% 13.80/14.20 cnf('0.454.2.1',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(X1,nand(X2,nand(c,nand(c,c)))) ),
% 13.80/14.20 inference(instr,[status(thm)],['0.454.2.0',theory(equality)])).
% 13.80/14.20 cnf('0.455.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,nand(nand(X2,X3),nand(X3,X2)))) = nand(X1,nand(X2,X3)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.454.2.0','0.446.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2','L')]).
% 13.80/14.20 cnf('0.455.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,nand(nand(X2,X3),nand(X3,X2)))) = nand(X1,nand(X2,X3)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.455.0.0']),
% 13.80/14.20 [weight('<203,454,446,[1,1,0,2]>')]).
% 13.80/14.20 cnf('0.455.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,nand(nand(X2,X3),nand(X3,X2)))) = nand(X1,nand(X2,X3)) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.455.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_446]).
% 13.80/14.20 cnf('0.458.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(nand(X2,nand(X3,nand(X3,X3))),X1) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.99.2.0','0.179.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1','R')]).
% 13.80/14.20 cnf('0.458.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(nand(X2,nand(X3,nand(X3,X3))),X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.458.0.0']),
% 13.80/14.20 [weight('<224,179,99,[0,1,1,1]>')]).
% 13.80/14.20 cnf('0.458.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(nand(X2,nand(X3,nand(X3,X3))),X1) ),
% 13.80/14.20 inference(activate,[status(thm)],['0.458.1.0']),
% 13.80/14.20 [equation_11]).
% 13.80/14.20 cnf('0.458.2.1',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(nand(X2,nand(c,nand(c,c))),X1) ),
% 13.80/14.20 inference(instr,[status(thm)],['0.458.2.0',theory(equality)])).
% 13.80/14.20 cnf('0.459.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,nand(nand(X2,X3),nand(X3,X2)))) = nand(nand(X3,X2),X1) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.458.2.0','0.448.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.1','L')]).
% 13.80/14.20 cnf('0.459.0.1',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X3)) = nand(nand(X3,X2),X1) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.459.0.0','0.455.2.0',theory(equality)]),
% 13.80/14.20 [pos('L','L')]).
% 13.80/14.20 cnf('0.459.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X3)) = nand(nand(X3,X2),X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.459.0.1']),
% 13.80/14.20 [weight('<120,458,448,[1,1,0,1]>')]).
% 13.80/14.20 cnf('0.459.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,X3)) = nand(nand(X3,X2),X1) ),
% 13.80/14.20 inference(activate,[status(thm)],['0.459.1.0']),
% 13.80/14.20 [equation_12]).
% 13.80/14.20 cnf('0.471.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X3,nand(X1,X1)))) = nand(X1,nand(X2,X2)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.101.2.0','0.307.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.471.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X3,nand(X1,X1)))) = nand(X1,nand(X2,X2)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.471.0.0']),
% 13.80/14.20 [weight('<224,307,101,[0,0,0,2]>')]).
% 13.80/14.20 cnf('0.471.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X3,nand(X1,X1)))) = nand(X1,nand(X2,X2)) ),
% 13.80/14.20 inference(activate,[status(thm)],['0.471.1.0']),
% 13.80/14.20 [equation_21]).
% 13.80/14.20 cnf('0.471.2.2',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(c,nand(X1,X1)))) = nand(X1,nand(X2,X2)) ),
% 13.80/14.20 inference(instl,[status(thm)],['0.471.2.0',theory(equality)])).
% 13.80/14.20 cnf('0.472.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X3,nand(X1,X1)))) = nand(X1,nand(X1,X2)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.471.2.0','0.95.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','R')]).
% 13.80/14.20 cnf('0.472.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X3,nand(X1,X1)))) = nand(X1,nand(X1,X2)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.472.0.0']),
% 13.80/14.20 [weight('<149,471,95,[1,1,1,0]>')]).
% 13.80/14.20 cnf('0.472.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X3,nand(X1,X1)))) = nand(X1,nand(X1,X2)) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.472.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_451]).
% 13.80/14.20 cnf('0.474.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(X1,nand(X2,nand(nand(X1,X1),X3))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.472.2.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.474.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(X1,nand(X2,nand(nand(X1,X1),X3))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.474.0.0']),
% 13.80/14.20 [weight('<149,472,76,[1,0,0,4]>')]).
% 13.80/14.20 cnf('0.474.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(nand(X1,X1),X3))) = nand(X1,nand(X1,X2)) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.474.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_453]).
% 13.80/14.20 cnf('0.490.0.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),X3),X4) = nand(X4,nand(nand(X2,X1),X3)) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.459.2.0','0.459.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.490.1.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),X3),X4) = nand(X4,nand(nand(X2,X1),X3)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.490.0.0']),
% 13.80/14.20 [weight('<224,459,459,[0,0,0,2]>')]).
% 13.80/14.20 cnf('0.490.2.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),X3),X4) = nand(X4,nand(nand(X2,X1),X3)) ),
% 13.80/14.20 inference(activate,[status(thm)],['0.490.1.0']),
% 13.80/14.20 [equation_32]).
% 13.80/14.20 cnf('0.493.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X3),X4)) = nand(nand(X4,nand(X3,X2)),X1) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.490.2.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('0.493.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X3),X4)) = nand(nand(X4,nand(X3,X2)),X1) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.493.0.0']),
% 13.80/14.20 [weight('<224,490,76,[1,0,0,1]>')]).
% 13.80/14.20 cnf('0.493.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X3),X4)) = nand(nand(X4,nand(X3,X2)),X1) ),
% 13.80/14.20 inference(activate,[status(thm)],['0.493.1.0']),
% 13.80/14.20 [equation_35]).
% 13.80/14.20 cnf('0.494.0.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),X3),X4) = nand(X4,nand(X3,nand(X2,X1))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.490.2.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2','L')]).
% 13.80/14.20 cnf('0.494.1.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),X3),X4) = nand(X4,nand(X3,nand(X2,X1))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.494.0.0']),
% 13.80/14.20 [weight('<224,490,76,[1,1,0,2]>')]).
% 13.80/14.20 cnf('0.494.2.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),X3),X4) = nand(X4,nand(X3,nand(X2,X1))) ),
% 13.80/14.20 inference(activate,[status(thm)],['0.494.1.0']),
% 13.80/14.20 [equation_36]).
% 13.80/14.20 cnf('0.506.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,nand(X2,X3))) = nand(nand(nand(X1,nand(X1,nand(X2,X3))),X3),X3) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.78.2.0','0.323.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.506.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,nand(X2,X3))) = nand(nand(nand(X1,nand(X1,nand(X2,X3))),X3),X3) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.506.0.0']),
% 13.80/14.20 [weight('<227,323,78,[0,0,0,4]>')]).
% 13.80/14.20 cnf('0.506.1.1',plain,
% 13.80/14.20 ( nand(X1,nand(X1,nand(X2,X3))) = nand(X3,nand(X3,nand(nand(X1,nand(X2,X3)),X1))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.506.1.0','0.494.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('0.506.1.2',plain,
% 13.80/14.20 ( nand(X1,nand(X1,nand(X2,X3))) = nand(X3,nand(X3,nand(X1,nand(nand(X3,X2),X1)))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.506.1.1','0.493.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2.2','R')]).
% 13.80/14.20 cnf('0.506.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,nand(X2,nand(nand(X1,X3),X2)))) = nand(X2,nand(X2,nand(X3,X1))) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.506.1.2',theory(equality)]),
% 13.80/14.20 [x,rule_469]).
% 13.80/14.20 cnf('0.562.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X2),nand(X2,X2))) = nand(X1,nand(nand(X2,X2),nand(X3,nand(X1,nand(X1,X2))))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.240.2.0','0.99.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2.2','R')]).
% 13.80/14.20 cnf('0.562.0.1',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X1,nand(nand(X2,X2),nand(X3,nand(X1,nand(X1,X2))))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.562.0.0','0.59.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.562.1.0',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X1,nand(nand(X2,X2),nand(X3,nand(X1,nand(X1,X2))))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.562.0.1']),
% 13.80/14.20 [weight('<237,240,99,[1,0,1,6]>')]).
% 13.80/14.20 cnf('0.562.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X2),nand(X3,nand(X1,nand(X1,X2))))) = nand(X1,X2) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.562.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_525]).
% 13.80/14.20 cnf('0.595.0.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),nand(X1,X2)),nand(nand(X2,X2),X3)) = nand(nand(nand(X1,X2),nand(X1,X2)),nand(nand(X1,X2),nand(X1,X2))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.200.2.0','0.347.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.595.0.1',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),nand(X1,X2)),nand(nand(X2,X2),X3)) = nand(X1,X2) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.595.0.0','0.59.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('0.595.1.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),nand(X1,X2)),nand(nand(X2,X2),X3)) = nand(X1,X2) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.595.0.1']),
% 13.80/14.20 [weight('<237,347,200,[0,0,0,2]>')]).
% 13.80/14.20 cnf('0.595.2.0',plain,
% 13.80/14.20 ( nand(nand(nand(X1,X2),nand(X1,X2)),nand(nand(X2,X2),X3)) = nand(X1,X2) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.595.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_557]).
% 13.80/14.20 cnf('0.596.0.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),X2) = nand(nand(X1,X1),nand(nand(X2,X2),nand(X3,X1))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.562.2.0','0.595.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.596.1.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),X2) = nand(nand(X1,X1),nand(nand(X2,X2),nand(X3,X1))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.596.0.0']),
% 13.80/14.20 [weight('<203,595,562,[0,0,0,6]>')]).
% 13.80/14.20 cnf('0.596.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(nand(X2,X2),nand(X3,X1))) = nand(nand(X1,X1),X2) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.596.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_558]).
% 13.80/14.20 cnf('0.880.0.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(nand(X1,X1),nand(X2,nand(X3,X1)))) = nand(nand(X1,X1),X2) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.472.2.0','0.305.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.880.1.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(nand(X1,X1),nand(X2,nand(X3,X1)))) = nand(nand(X1,X1),X2) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.880.0.0']),
% 13.80/14.20 [weight('<265,472,305,[1,0,0,2]>')]).
% 13.80/14.20 cnf('0.880.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(nand(X1,X1),nand(X2,nand(X3,X1)))) = nand(nand(X1,X1),X2) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.880.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_841]).
% 13.80/14.20 cnf('0.882.0.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(nand(X1,X1),nand(nand(X2,X1),X3))) = nand(nand(X1,X1),X3) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.472.2.0','0.347.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.882.1.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(nand(X1,X1),nand(nand(X2,X1),X3))) = nand(nand(X1,X1),X3) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.882.0.0']),
% 13.80/14.20 [weight('<265,472,347,[1,0,0,2]>')]).
% 13.80/14.20 cnf('0.882.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(nand(X1,X1),nand(nand(X2,X1),X3))) = nand(nand(X1,X1),X3) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.882.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_843]).
% 13.80/14.20 cnf('0.898.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(X1,nand(X2,nand(X3,nand(X3,nand(X4,nand(X1,X1)))))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.474.2.0','0.506.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.898.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(X1,nand(X2,nand(X3,nand(X3,nand(X4,nand(X1,X1)))))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.898.0.0']),
% 13.80/14.20 [weight('<265,506,474,[0,0,0,4]>')]).
% 13.80/14.20 cnf('0.898.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X3,nand(X3,nand(X4,nand(X1,X1)))))) = nand(X1,nand(X1,X2)) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.898.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_859]).
% 13.80/14.20 cnf('0.932.0.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),X2) = nand(nand(X1,X1),nand(nand(X3,X1),nand(nand(X3,X1),X2))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.596.2.0','0.99.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','R')]).
% 13.80/14.20 cnf('0.932.1.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),X2) = nand(nand(X1,X1),nand(nand(X3,X1),nand(nand(X3,X1),X2))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.932.0.0']),
% 13.80/14.20 [weight('<265,596,99,[1,0,1,4]>')]).
% 13.80/14.20 cnf('0.932.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(nand(X2,X1),nand(nand(X2,X1),X3))) = nand(nand(X1,X1),X3) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.932.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_893]).
% 13.80/14.20 cnf('0.994.0.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(nand(X2,nand(X3,X1)),nand(X2,X4))) = nand(nand(X1,X1),nand(nand(X1,X1),nand(X2,nand(X3,X1)))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.882.2.0','0.90.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2','L')]).
% 13.80/14.20 cnf('0.994.0.1',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(nand(X2,nand(X3,X1)),nand(X2,X4))) = nand(nand(X1,X1),X2) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.994.0.0','0.880.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('0.994.1.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(nand(X2,nand(X3,X1)),nand(X2,X4))) = nand(nand(X1,X1),X2) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.994.0.1']),
% 13.80/14.20 [weight('<265,882,90,[1,0,0,8]>')]).
% 13.80/14.20 cnf('0.994.2.0',plain,
% 13.80/14.20 ( nand(nand(X1,X1),nand(nand(X2,nand(X3,X1)),nand(X2,X4))) = nand(nand(X1,X1),X2) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.994.1.0',theory(equality)]),
% 13.80/14.20 [u,rule_955]).
% 13.80/14.20 cnf('0.1013.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(X1,nand(X2,nand(nand(X3,nand(X4,nand(X3,X1))),X3))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.898.2.0','0.238.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.2.2','L')]).
% 13.80/14.20 cnf('0.1013.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(X1,nand(X2,nand(nand(X3,nand(X4,nand(X3,X1))),X3))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.1013.0.0']),
% 13.80/14.20 [weight('<265,898,238,[1,0,0,6]>')]).
% 13.80/14.20 cnf('0.1013.1.1',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(X1,nand(X2,nand(X3,nand(nand(nand(X3,X1),X4),X3)))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.1013.1.0','0.493.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2.2','R')]).
% 13.80/14.20 cnf('0.1013.1.2',plain,
% 13.80/14.20 ( nand(X1,nand(X1,X2)) = nand(X1,nand(X2,nand(X3,nand(X3,nand(X4,nand(X1,X3)))))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.1013.1.1','0.494.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2.2.2','L')]).
% 13.80/14.20 cnf('0.1013.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X3,nand(X3,nand(X4,nand(X1,X3)))))) = nand(X1,nand(X1,X2)) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.1013.1.2',theory(equality)]),
% 13.80/14.20 [x,rule_974]).
% 13.80/14.20 cnf('0.1014.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X1,nand(X2,X2))) = nand(X1,nand(nand(X2,X2),nand(X3,nand(X1,nand(X4,X2))))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.1013.2.0','0.932.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.1014.0.1',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X1,nand(nand(X2,X2),nand(X3,nand(X1,nand(X4,X2))))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.1014.0.0','0.96.2.0',theory(equality)]),
% 13.80/14.20 [pos('L','L')]).
% 13.80/14.20 cnf('0.1014.1.0',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X1,nand(nand(X2,X2),nand(X3,nand(X1,nand(X4,X2))))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.1014.0.1']),
% 13.80/14.20 [weight('<237,1013,932,[1,0,0,2]>')]).
% 13.80/14.20 cnf('0.1014.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,X2),nand(X3,nand(X1,nand(X4,X2))))) = nand(X1,X2) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.1014.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_975]).
% 13.80/14.20 cnf('0.1016.0.0',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X1,nand(nand(X3,nand(X1,nand(X4,X2))),nand(X2,X2))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.1014.2.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','L')]).
% 13.80/14.20 cnf('0.1016.1.0',plain,
% 13.80/14.20 ( nand(X1,X2) = nand(X1,nand(nand(X3,nand(X1,nand(X4,X2))),nand(X2,X2))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.1016.0.0']),
% 13.80/14.20 [weight('<237,1014,76,[1,0,0,2]>')]).
% 13.80/14.20 cnf('0.1016.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(nand(X2,nand(X1,nand(X3,X4))),nand(X4,X4))) = nand(X1,X4) ),
% 13.80/14.20 inference(orient,[status(thm)],['0.1016.1.0',theory(equality)]),
% 13.80/14.20 [x,rule_977]).
% 13.80/14.20 cnf('0.1017.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X1,X3))) = nand(X1,nand(nand(X3,X3),nand(nand(X2,nand(X1,X3)),nand(X2,nand(X1,X3))))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.1016.2.0','0.341.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2.1','L')]).
% 13.80/14.20 cnf('0.1017.0.1',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X1,X3))) = nand(X1,nand(nand(X3,X3),X2)) ),
% 13.80/14.20 inference(reduction,[status(thm)],['0.1017.0.0','0.994.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2','L')]).
% 13.80/14.20 cnf('0.1017.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X1,X3))) = nand(X1,nand(nand(X3,X3),X2)) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.1017.0.1']),
% 13.80/14.20 [weight('<224,1016,341,[1,0,0,3]>')]).
% 13.80/14.20 cnf('0.1017.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X1,X3))) = nand(X1,nand(nand(X3,X3),X2)) ),
% 13.80/14.20 inference(activate,[status(thm)],['0.1017.1.0']),
% 13.80/14.20 [equation_40]).
% 13.80/14.20 cnf('0.1079.0.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X1,X3))) = nand(X1,nand(X2,nand(X3,X3))) ),
% 13.80/14.20 inference(cp,[status(thm)],['0.1017.2.0','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('R.2','L')]).
% 13.80/14.20 cnf('0.1079.1.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X1,X3))) = nand(X1,nand(X2,nand(X3,X3))) ),
% 13.80/14.20 inference(weigh,[status(thm)],['0.1079.0.0']),
% 13.80/14.20 [weight('<224,1017,76,[1,1,0,2]>')]).
% 13.80/14.20 cnf('0.1079.2.0',plain,
% 13.80/14.20 ( nand(X1,nand(X2,nand(X1,X3))) = nand(X1,nand(X2,nand(X3,X3))) ),
% 13.80/14.20 inference(activate,[status(thm)],['0.1079.1.0']),
% 13.80/14.20 [equation_51]).
% 13.80/14.20 cnf('1.0.0.0',conjecture,
% 13.80/14.20 ( nand(nand(nand(c,b),b),a) = nand(a,nand(b,nand(a,c))) ),
% 13.80/14.20 file('/tmp/WALDMEISTER_15663_n018',conjecture_1)).
% 13.80/14.20 cnf('1.0.0.1',plain,
% 13.80/14.20 ( nand(nand(b,nand(c,b)),a) = nand(a,nand(b,nand(a,c))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['1.0.0.0','0.64.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.1','L')]).
% 13.80/14.20 cnf('1.0.0.2',plain,
% 13.80/14.20 ( nand(a,nand(b,nand(c,b))) = nand(a,nand(b,nand(a,c))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['1.0.0.1','0.76.2.0',theory(equality)]),
% 13.80/14.20 [pos('L','L')]).
% 13.80/14.20 cnf('1.0.0.3',plain,
% 13.80/14.20 ( nand(a,nand(b,nand(c,c))) = nand(a,nand(b,nand(a,c))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['1.0.0.2','0.98.2.0',theory(equality)]),
% 13.80/14.20 [pos('L.2','R')]).
% 13.80/14.20 cnf('1.0.0.4',plain,
% 13.80/14.20 ( nand(a,nand(b,nand(c,c))) = nand(a,nand(b,nand(c,c))) ),
% 13.80/14.20 inference(reduction,[status(thm)],['1.0.0.3','0.1079.2.0',theory(equality)]),
% 13.80/14.20 [pos('R','L')]).
% 13.80/14.20 cnf('1.0.0.5',plain,
% 13.80/14.20 ( $true ),
% 13.80/14.20 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 13.80/14.20 [conjecture_1]).
% 13.80/14.20
% 13.80/14.20 Proved Goals:
% 13.80/14.20 No. 1: nand(nand(nand(c,b),b),a) ?= nand(a,nand(b,nand(a,c))) joined, current: nand(a,nand(b,nand(c,c))) = nand(a,nand(b,nand(c,c)))
% 13.80/14.20 1 goal was specified, which was proved.
% 13.80/14.20 % SZS output end CNFRefutation
% 13.80/14.20 #END OF PROOF
% 13.80/14.20
% 13.80/14.20 Problem WALDMEISTER_15663_n018
% 13.80/14.20 CPs.gen 2987138
% 13.80/14.20 CPs.reexp 0
% 13.80/14.20 Select 251139
% 13.80/14.20 R 1028
% 13.80/14.20 E 51
% 13.80/14.20 vsize 9.5M
% 13.80/14.20 rss 5.1M
% 13.80/14.20 process.time 13.226s
% 13.80/14.20 wallclock.time 13.226s
% 13.80/14.20 status S
% 13.80/14.20
% 13.80/14.20
% 13.80/14.20 Waldmeister states: Goal proved.
% 13.80/14.20 % SZS status Unsatisfiable
%------------------------------------------------------------------------------