TSTP Solution File: GRP718-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP718-1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sat Jul 16 12:28:14 EDT 2022
% Result : Unsatisfiable 21.77s 22.20s
% Output : CNFRefutation 21.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP718-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 11:46:48 EDT 2022
% 0.13/0.34 % 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) mult(mult(mult(a,a),b),mult(c,mult(a,a))) ?=? mult(mult(a,a),mult(mult(b,c),mult(a,a)))
% 0.58/0.97
% 0.58/0.97 Detected structure: Loop
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 21.77/22.20 joined goal: 1 mult(mult(mult(a,a),b),mult(c,mult(a,a))) ?= mult(mult(a,a),mult(mult(b,c),mult(a,a))) to mult(a,mult(a,mult(a,mult(a,mult(b,c)))))
% 21.77/22.20 goal joined
% 21.77/22.20 % SZS status Unsatisfiable
% 21.77/22.20 #START OF PROOF
% 21.77/22.20 % SZS output start CNFRefutation
% 21.77/22.20 cnf('0.1.0.0',axiom,
% 21.77/22.20 ( X1 = mult(X2,ld(X2,X1)) ),
% 21.77/22.20 file('/tmp/WALDMEISTER_8932_n024')).
% 21.77/22.20 cnf('0.1.1.0',plain,
% 21.77/22.20 ( X1 = mult(X2,ld(X2,X1)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.1.0.0']),
% 21.77/22.20 [weight('<0,0,0,[0,0,0,1]>')]).
% 21.77/22.20 cnf('0.1.2.0',plain,
% 21.77/22.20 ( mult(X1,ld(X1,X2)) = X2 ),
% 21.77/22.20 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_1]).
% 21.77/22.20 cnf('0.2.0.0',axiom,
% 21.77/22.20 ( X1 = mult(X1,unit) ),
% 21.77/22.20 file('/tmp/WALDMEISTER_8932_n024')).
% 21.77/22.20 cnf('0.2.1.0',plain,
% 21.77/22.20 ( X1 = mult(X1,unit) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.2.0.0']),
% 21.77/22.20 [weight('<1,0,0,[0,0,0,2]>')]).
% 21.77/22.20 cnf('0.2.2.0',plain,
% 21.77/22.20 ( mult(X1,unit) = X1 ),
% 21.77/22.20 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_2]).
% 21.77/22.20 cnf('0.4.0.0',axiom,
% 21.77/22.20 ( X1 = mult(unit,X1) ),
% 21.77/22.20 file('/tmp/WALDMEISTER_8932_n024')).
% 21.77/22.20 cnf('0.4.1.0',plain,
% 21.77/22.20 ( X1 = mult(unit,X1) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.4.0.0']),
% 21.77/22.20 [weight('<3,0,0,[0,0,0,4]>')]).
% 21.77/22.20 cnf('0.4.2.0',plain,
% 21.77/22.20 ( mult(unit,X1) = X1 ),
% 21.77/22.20 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_4]).
% 21.77/22.20 cnf('0.5.0.0',axiom,
% 21.77/22.20 ( X1 = mult(i(X2),mult(X2,X1)) ),
% 21.77/22.20 file('/tmp/WALDMEISTER_8932_n024')).
% 21.77/22.20 cnf('0.5.1.0',plain,
% 21.77/22.20 ( X1 = mult(i(X2),mult(X2,X1)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.5.0.0']),
% 21.77/22.20 [weight('<4,0,0,[0,0,0,5]>')]).
% 21.77/22.20 cnf('0.5.2.0',plain,
% 21.77/22.20 ( mult(i(X1),mult(X1,X2)) = X2 ),
% 21.77/22.20 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_5]).
% 21.77/22.20 cnf('0.6.0.0',axiom,
% 21.77/22.20 ( X1 = mult(rd(X1,X2),X2) ),
% 21.77/22.20 file('/tmp/WALDMEISTER_8932_n024')).
% 21.77/22.20 cnf('0.6.1.0',plain,
% 21.77/22.20 ( X1 = mult(rd(X1,X2),X2) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.6.0.0']),
% 21.77/22.20 [weight('<5,0,0,[0,0,0,6]>')]).
% 21.77/22.20 cnf('0.6.2.0',plain,
% 21.77/22.20 ( mult(rd(X1,X2),X2) = X1 ),
% 21.77/22.20 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_6]).
% 21.77/22.20 cnf('0.7.0.0',axiom,
% 21.77/22.20 ( X1 = rd(mult(X1,X2),X2) ),
% 21.77/22.20 file('/tmp/WALDMEISTER_8932_n024')).
% 21.77/22.20 cnf('0.7.1.0',plain,
% 21.77/22.20 ( X1 = rd(mult(X1,X2),X2) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.7.0.0']),
% 21.77/22.20 [weight('<6,0,0,[0,0,0,7]>')]).
% 21.77/22.20 cnf('0.7.2.0',plain,
% 21.77/22.20 ( rd(mult(X1,X2),X2) = X1 ),
% 21.77/22.20 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_7]).
% 21.77/22.20 cnf('0.8.0.0',axiom,
% 21.77/22.20 ( X1 = ld(X2,mult(X2,X1)) ),
% 21.77/22.20 file('/tmp/WALDMEISTER_8932_n024')).
% 21.77/22.20 cnf('0.8.1.0',plain,
% 21.77/22.20 ( X1 = ld(X2,mult(X2,X1)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.8.0.0']),
% 21.77/22.20 [weight('<7,0,0,[0,0,0,8]>')]).
% 21.77/22.20 cnf('0.8.2.0',plain,
% 21.77/22.20 ( ld(X1,mult(X1,X2)) = X2 ),
% 21.77/22.20 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_8]).
% 21.77/22.20 cnf('0.9.0.0',axiom,
% 21.77/22.20 ( mult(X1,X2) = mult(X2,X1) ),
% 21.77/22.20 file('/tmp/WALDMEISTER_8932_n024')).
% 21.77/22.20 cnf('0.9.1.0',plain,
% 21.77/22.20 ( mult(X1,X2) = mult(X2,X1) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.9.0.0']),
% 21.77/22.20 [weight('<8,0,0,[0,0,0,9]>')]).
% 21.77/22.20 cnf('0.9.2.0',plain,
% 21.77/22.20 ( mult(X1,X2) = mult(X2,X1) ),
% 21.77/22.20 inference(activate,[status(thm)],['0.9.1.0']),
% 21.77/22.20 [equation_1]).
% 21.77/22.20 cnf('0.10.0.0',axiom,
% 21.77/22.20 ( mult(mult(X1,X2),mult(X3,mult(X1,X2))) = mult(mult(mult(X1,mult(X2,X3)),X1),X2) ),
% 21.77/22.20 file('/tmp/WALDMEISTER_8932_n024')).
% 21.77/22.20 cnf('0.10.1.0',plain,
% 21.77/22.20 ( mult(mult(X1,X2),mult(X3,mult(X1,X2))) = mult(mult(mult(X1,mult(X2,X3)),X1),X2) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.10.0.0']),
% 21.77/22.20 [weight('<9,0,0,[0,0,0,10]>')]).
% 21.77/22.20 cnf('0.10.1.1',plain,
% 21.77/22.20 ( mult(mult(X1,X2),mult(X3,mult(X1,X2))) = mult(X2,mult(mult(X1,mult(X2,X3)),X1)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.10.1.0','0.9.2.0',theory(equality)]),
% 21.77/22.20 [pos('R','L')]).
% 21.77/22.20 cnf('0.10.1.2',plain,
% 21.77/22.20 ( mult(mult(X1,X2),mult(X3,mult(X1,X2))) = mult(X2,mult(X1,mult(X1,mult(X2,X3)))) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.10.1.1','0.9.2.0',theory(equality)]),
% 21.77/22.20 [pos('R.2','L')]).
% 21.77/22.20 cnf('0.10.2.0',plain,
% 21.77/22.20 ( mult(mult(X1,X2),mult(X3,mult(X1,X2))) = mult(X2,mult(X1,mult(X1,mult(X2,X3)))) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.10.1.2',theory(equality)]),
% 21.77/22.20 [u,rule_9]).
% 21.77/22.20 cnf('0.11.0.0',plain,
% 21.77/22.20 ( ld(unit,X1) = X1 ),
% 21.77/22.20 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.11.1.0',plain,
% 21.77/22.20 ( ld(unit,X1) = X1 ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.11.0.0']),
% 21.77/22.20 [weight('<19,4,1,[1,0,0,0]>')]).
% 21.77/22.20 cnf('0.11.2.0',plain,
% 21.77/22.20 ( ld(unit,X1) = X1 ),
% 21.77/22.20 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 21.77/22.20 [u,rule_10]).
% 21.77/22.20 cnf('0.12.0.0',plain,
% 21.77/22.20 ( mult(X1,X2) = mult(i(i(X1)),X2) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.2','L')]).
% 21.77/22.20 cnf('0.12.1.0',plain,
% 21.77/22.20 ( X1 = i(i(X1)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.12.0.0']),
% 21.77/22.20 [weight('<19,5,5,[0,0,0,3]>')]).
% 21.77/22.20 cnf('0.12.2.0',plain,
% 21.77/22.20 ( i(i(X1)) = X1 ),
% 21.77/22.20 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_11]).
% 21.77/22.20 cnf('0.15.0.0',plain,
% 21.77/22.20 ( unit = ld(X1,X1) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.2','L')]).
% 21.77/22.20 cnf('0.15.1.0',plain,
% 21.77/22.20 ( unit = ld(X1,X1) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.15.0.0']),
% 21.77/22.20 [weight('<19,8,2,[1,0,0,2]>')]).
% 21.77/22.20 cnf('0.15.2.0',plain,
% 21.77/22.20 ( ld(X1,X1) = unit ),
% 21.77/22.20 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_14]).
% 21.77/22.20 cnf('0.21.0.0',plain,
% 21.77/22.20 ( ld(X1,X2) = mult(i(X1),X2) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.2','L')]).
% 21.77/22.20 cnf('0.21.1.0',plain,
% 21.77/22.20 ( ld(X1,X2) = mult(i(X1),X2) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.21.0.0']),
% 21.77/22.20 [weight('<39,5,1,[1,0,0,3]>')]).
% 21.77/22.20 cnf('0.21.2.0',plain,
% 21.77/22.20 ( mult(i(X1),X2) = ld(X1,X2) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_20]).
% 21.77/22.20 cnf('0.22.0.0',plain,
% 21.77/22.20 ( ld(X1,X2) = mult(X2,i(X1)) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.21.2.0','0.9.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.22.1.0',plain,
% 21.77/22.20 ( ld(X1,X2) = mult(X2,i(X1)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.22.0.0']),
% 21.77/22.20 [weight('<39,21,9,[1,0,0,0]>')]).
% 21.77/22.20 cnf('0.22.2.0',plain,
% 21.77/22.20 ( mult(X1,i(X2)) = ld(X2,X1) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_21]).
% 21.77/22.20 cnf('0.23.0.0',plain,
% 21.77/22.20 ( ld(i(X1),X2) = mult(X1,X2) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.21.2.0','0.12.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1','L')]).
% 21.77/22.20 cnf('0.23.1.0',plain,
% 21.77/22.20 ( ld(i(X1),X2) = mult(X1,X2) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.23.0.0']),
% 21.77/22.20 [weight('<39,21,12,[1,0,0,1]>')]).
% 21.77/22.20 cnf('0.23.2.0',plain,
% 21.77/22.20 ( ld(i(X1),X2) = mult(X1,X2) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 21.77/22.20 [u,rule_22]).
% 21.77/22.20 cnf('0.24.0.0',plain,
% 21.77/22.20 ( mult(rd(X1,X2),X2) = X1 ),
% 21.77/22.20 inference(interreduction_right,[status(thm)],['0.6.2.0'])).
% 21.77/22.20 cnf('0.24.1.0',plain,
% 21.77/22.20 ( mult(rd(X1,X2),X2) = X1 ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.24.0.0']),
% 21.77/22.20 [weight('<41,6,9,[0,0,0,0]>')]).
% 21.77/22.20 cnf('0.24.1.1',plain,
% 21.77/22.20 ( mult(X2,rd(X1,X2)) = X1 ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.24.1.0','0.9.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.24.2.0',plain,
% 21.77/22.20 ( mult(X1,rd(X2,X1)) = X2 ),
% 21.77/22.20 inference(orient,[status(thm)],['0.24.1.1',theory(equality)]),
% 21.77/22.20 [u,rule_23]).
% 21.77/22.20 cnf('0.25.0.0',plain,
% 21.77/22.20 ( rd(X1,X2) = ld(X2,X1) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.8.2.0','0.24.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.2','L')]).
% 21.77/22.20 cnf('0.25.1.0',plain,
% 21.77/22.20 ( rd(X1,X2) = ld(X2,X1) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.25.0.0']),
% 21.77/22.20 [weight('<27,24,8,[0,0,0,2]>')]).
% 21.77/22.20 cnf('0.25.2.0',plain,
% 21.77/22.20 ( rd(X1,X2) = ld(X2,X1) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 21.77/22.20 [u,rule_24]).
% 21.77/22.20 cnf('0.26.0.0',plain,
% 21.77/22.20 ( rd(mult(X1,X2),X2) = X1 ),
% 21.77/22.20 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 21.77/22.20 cnf('0.26.0.1',plain,
% 21.77/22.20 ( ld(X2,mult(X1,X2)) = X1 ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.26.0.0','0.25.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.26.1.0',plain,
% 21.77/22.20 ( ld(X2,mult(X1,X2)) = X1 ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.26.0.1']),
% 21.77/22.20 [weight('<41,7,25,[0,0,0,0]>')]).
% 21.77/22.20 cnf('0.26.2.0',plain,
% 21.77/22.20 ( ld(X1,mult(X2,X1)) = X2 ),
% 21.77/22.20 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 21.77/22.20 [u,rule_25]).
% 21.77/22.20 cnf('0.27.0.0',plain,
% 21.77/22.20 ( X1 = ld(ld(X1,X2),X2) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.26.2.0','0.1.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.2','L')]).
% 21.77/22.20 cnf('0.27.1.0',plain,
% 21.77/22.20 ( X1 = ld(ld(X1,X2),X2) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.27.0.0']),
% 21.77/22.20 [weight('<41,26,1,[1,0,0,2]>')]).
% 21.77/22.20 cnf('0.27.2.0',plain,
% 21.77/22.20 ( ld(ld(X1,X2),X2) = X1 ),
% 21.77/22.20 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_26]).
% 21.77/22.20 cnf('0.28.0.0',plain,
% 21.77/22.20 ( i(X1) = ld(X2,ld(X1,X2)) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.8.2.0','0.22.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.2','L')]).
% 21.77/22.20 cnf('0.28.1.0',plain,
% 21.77/22.20 ( i(X1) = ld(X2,ld(X1,X2)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.28.0.0']),
% 21.77/22.20 [weight('<47,22,8,[0,0,0,2]>')]).
% 21.77/22.20 cnf('0.28.2.0',plain,
% 21.77/22.20 ( ld(X1,ld(X2,X1)) = i(X2) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_27]).
% 21.77/22.20 cnf('0.29.0.0',plain,
% 21.77/22.20 ( i(ld(X1,X2)) = ld(X2,X1) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.28.2.0','0.27.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.2','L')]).
% 21.77/22.20 cnf('0.29.1.0',plain,
% 21.77/22.20 ( i(ld(X1,X2)) = ld(X2,X1) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.29.0.0']),
% 21.77/22.20 [weight('<39,28,27,[1,0,0,2]>')]).
% 21.77/22.20 cnf('0.29.2.0',plain,
% 21.77/22.20 ( i(ld(X1,X2)) = ld(X2,X1) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 21.77/22.20 [u,rule_28]).
% 21.77/22.20 cnf('0.30.0.0',plain,
% 21.77/22.20 ( ld(X1,i(X2)) = i(mult(X2,X1)) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.29.2.0','0.23.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1','L')]).
% 21.77/22.20 cnf('0.30.1.0',plain,
% 21.77/22.20 ( ld(X1,i(X2)) = i(mult(X2,X1)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.30.0.0']),
% 21.77/22.20 [weight('<44,29,23,[1,0,0,1]>')]).
% 21.77/22.20 cnf('0.30.2.0',plain,
% 21.77/22.20 ( i(mult(X1,X2)) = ld(X2,i(X1)) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_29]).
% 21.77/22.20 cnf('0.31.0.0',plain,
% 21.77/22.20 ( i(X1) = ld(mult(X1,X2),X2) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.27.2.0','0.23.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1','L')]).
% 21.77/22.20 cnf('0.31.1.0',plain,
% 21.77/22.20 ( i(X1) = ld(mult(X1,X2),X2) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.31.0.0']),
% 21.77/22.20 [weight('<47,27,23,[1,0,0,1]>')]).
% 21.77/22.20 cnf('0.31.2.0',plain,
% 21.77/22.20 ( ld(mult(X1,X2),X2) = i(X1) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_30]).
% 21.77/22.20 cnf('0.32.0.0',plain,
% 21.77/22.20 ( i(X1) = ld(mult(X2,X1),X2) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.28.2.0','0.26.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.2','L')]).
% 21.77/22.20 cnf('0.32.1.0',plain,
% 21.77/22.20 ( i(X1) = ld(mult(X2,X1),X2) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.32.0.0']),
% 21.77/22.20 [weight('<47,28,26,[1,0,0,2]>')]).
% 21.77/22.20 cnf('0.32.2.0',plain,
% 21.77/22.20 ( ld(mult(X1,X2),X1) = i(X2) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_31]).
% 21.77/22.20 cnf('0.35.0.0',plain,
% 21.77/22.20 ( ld(ld(X1,X2),X3) = mult(ld(X2,X1),X3) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.21.2.0','0.29.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1','L')]).
% 21.77/22.20 cnf('0.35.1.0',plain,
% 21.77/22.20 ( ld(ld(X1,X2),X3) = mult(ld(X2,X1),X3) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.35.0.0']),
% 21.77/22.20 [weight('<65,29,21,[0,0,0,1]>')]).
% 21.77/22.20 cnf('0.35.2.0',plain,
% 21.77/22.20 ( mult(ld(X1,X2),X3) = ld(ld(X2,X1),X3) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_34]).
% 21.77/22.20 cnf('0.36.0.0',plain,
% 21.77/22.20 ( ld(ld(X1,X2),X3) = mult(X3,ld(X2,X1)) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.22.2.0','0.29.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.2','L')]).
% 21.77/22.20 cnf('0.36.1.0',plain,
% 21.77/22.20 ( ld(ld(X1,X2),X3) = mult(X3,ld(X2,X1)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.36.0.0']),
% 21.77/22.20 [weight('<65,29,22,[0,0,0,2]>')]).
% 21.77/22.20 cnf('0.36.2.0',plain,
% 21.77/22.20 ( mult(X1,ld(X2,X3)) = ld(ld(X3,X2),X1) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_35]).
% 21.77/22.20 cnf('0.37.0.0',plain,
% 21.77/22.20 ( ld(X1,i(X2)) = ld(X2,i(X1)) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.22.2.0','0.21.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.37.1.0',plain,
% 21.77/22.20 ( ld(X1,i(X2)) = ld(X2,i(X1)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.37.0.0']),
% 21.77/22.20 [weight('<80,22,21,[1,0,0,0]>')]).
% 21.77/22.20 cnf('0.37.2.0',plain,
% 21.77/22.20 ( ld(X1,i(X2)) = ld(X2,i(X1)) ),
% 21.77/22.20 inference(activate,[status(thm)],['0.37.1.0']),
% 21.77/22.20 [equation_2]).
% 21.77/22.20 cnf('0.38.0.0',plain,
% 21.77/22.20 ( mult(mult(X1,X2),X3) = ld(ld(X2,i(X1)),X3) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.23.2.0','0.30.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1','L')]).
% 21.77/22.20 cnf('0.38.1.0',plain,
% 21.77/22.20 ( mult(mult(X1,X2),X3) = ld(ld(X2,i(X1)),X3) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.38.0.0']),
% 21.77/22.20 [weight('<83,30,23,[0,0,0,1]>')]).
% 21.77/22.20 cnf('0.38.2.0',plain,
% 21.77/22.20 ( ld(ld(X1,i(X2)),X3) = mult(mult(X2,X1),X3) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_36]).
% 21.77/22.20 cnf('0.39.0.0',plain,
% 21.77/22.20 ( ld(ld(X1,X2),i(X3)) = ld(X3,ld(X2,X1)) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.35.2.0','0.22.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.39.1.0',plain,
% 21.77/22.20 ( ld(ld(X1,X2),i(X3)) = ld(X3,ld(X2,X1)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.39.0.0']),
% 21.77/22.20 [weight('<83,35,22,[1,0,0,0]>')]).
% 21.77/22.20 cnf('0.39.2.0',plain,
% 21.77/22.20 ( ld(ld(X1,X2),i(X3)) = ld(X3,ld(X2,X1)) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 21.77/22.20 [u,rule_37]).
% 21.77/22.20 cnf('0.40.0.0',plain,
% 21.77/22.20 ( X1 = ld(ld(X2,X3),ld(ld(X3,X2),X1)) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.8.2.0','0.35.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.2','L')]).
% 21.77/22.20 cnf('0.40.1.0',plain,
% 21.77/22.20 ( X1 = ld(ld(X2,X3),ld(ld(X3,X2),X1)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.40.0.0']),
% 21.77/22.20 [weight('<109,35,8,[0,0,0,2]>')]).
% 21.77/22.20 cnf('0.40.2.0',plain,
% 21.77/22.20 ( ld(ld(X1,X2),ld(ld(X2,X1),X3)) = X3 ),
% 21.77/22.20 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_38]).
% 21.77/22.20 cnf('0.41.0.0',plain,
% 21.77/22.20 ( X1 = ld(ld(X2,i(X3)),ld(ld(i(X2),X3),X1)) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.40.2.0','0.37.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1','L')]).
% 21.77/22.20 cnf('0.41.0.1',plain,
% 21.77/22.20 ( X1 = mult(mult(X3,X2),ld(ld(i(X2),X3),X1)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.41.0.0','0.38.2.0',theory(equality)]),
% 21.77/22.20 [pos('R','L')]).
% 21.77/22.20 cnf('0.41.0.2',plain,
% 21.77/22.20 ( X1 = ld(ld(X1,ld(i(X2),X3)),mult(X3,X2)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.41.0.1','0.36.2.0',theory(equality)]),
% 21.77/22.20 [pos('R','L')]).
% 21.77/22.20 cnf('0.41.0.3',plain,
% 21.77/22.20 ( X1 = ld(ld(X1,mult(X2,X3)),mult(X3,X2)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.41.0.2','0.23.2.0',theory(equality)]),
% 21.77/22.20 [pos('R.1.2','L')]).
% 21.77/22.20 cnf('0.41.1.0',plain,
% 21.77/22.20 ( X1 = ld(ld(X1,mult(X2,X3)),mult(X3,X2)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.41.0.3']),
% 21.77/22.20 [weight('<109,40,37,[1,0,0,1]>')]).
% 21.77/22.20 cnf('0.41.2.0',plain,
% 21.77/22.20 ( ld(ld(X1,mult(X2,X3)),mult(X3,X2)) = X1 ),
% 21.77/22.20 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_39]).
% 21.77/22.20 cnf('0.43.0.0',plain,
% 21.77/22.20 ( X1 = ld(ld(i(X2),X3),ld(ld(X2,i(X3)),X1)) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.40.2.0','0.37.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.2.1','L')]).
% 21.77/22.20 cnf('0.43.0.1',plain,
% 21.77/22.20 ( X1 = ld(mult(X2,X3),ld(ld(X2,i(X3)),X1)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.43.0.0','0.23.2.0',theory(equality)]),
% 21.77/22.20 [pos('R.1','L')]).
% 21.77/22.20 cnf('0.43.0.2',plain,
% 21.77/22.20 ( X1 = ld(mult(X2,X3),mult(mult(X3,X2),X1)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.43.0.1','0.38.2.0',theory(equality)]),
% 21.77/22.20 [pos('R.2','L')]).
% 21.77/22.20 cnf('0.43.1.0',plain,
% 21.77/22.20 ( X1 = ld(mult(X2,X3),mult(mult(X3,X2),X1)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.43.0.2']),
% 21.77/22.20 [weight('<109,40,37,[1,0,0,5]>')]).
% 21.77/22.20 cnf('0.43.2.0',plain,
% 21.77/22.20 ( ld(mult(X1,X2),mult(mult(X2,X1),X3)) = X3 ),
% 21.77/22.20 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_41]).
% 21.77/22.20 cnf('0.45.0.0',plain,
% 21.77/22.20 ( mult(X1,mult(X2,mult(X2,mult(X1,unit)))) = mult(mult(X2,X1),mult(X2,X1)) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.10.2.0','0.4.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.2','L')]).
% 21.77/22.20 cnf('0.45.0.1',plain,
% 21.77/22.20 ( mult(X1,mult(X2,mult(X2,X1))) = mult(mult(X2,X1),mult(X2,X1)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.45.0.0','0.2.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.2.2.2','L')]).
% 21.77/22.20 cnf('0.45.1.0',plain,
% 21.77/22.20 ( mult(X1,mult(X2,mult(X2,X1))) = mult(mult(X2,X1),mult(X2,X1)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.45.0.1']),
% 21.77/22.20 [weight('<119,10,4,[1,0,0,4]>')]).
% 21.77/22.20 cnf('0.45.2.0',plain,
% 21.77/22.20 ( mult(mult(X1,X2),mult(X1,X2)) = mult(X2,mult(X1,mult(X1,X2))) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_43]).
% 21.77/22.20 cnf('0.49.0.0',plain,
% 21.77/22.20 ( ld(mult(mult(X1,X2),X3),mult(X2,X1)) = i(X3) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.29.2.0','0.43.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1','L')]).
% 21.77/22.20 cnf('0.49.1.0',plain,
% 21.77/22.20 ( ld(mult(mult(X1,X2),X3),mult(X2,X1)) = i(X3) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.49.0.0']),
% 21.77/22.20 [weight('<119,43,29,[0,0,0,1]>')]).
% 21.77/22.20 cnf('0.49.2.0',plain,
% 21.77/22.20 ( ld(mult(mult(X1,X2),X3),mult(X2,X1)) = i(X3) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 21.77/22.20 [u,rule_47]).
% 21.77/22.20 cnf('0.52.0.0',plain,
% 21.77/22.20 ( mult(X1,mult(i(X2),mult(i(X2),X1))) = mult(ld(X2,X1),mult(i(X2),X1)) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.45.2.0','0.21.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1','L')]).
% 21.77/22.20 cnf('0.52.0.1',plain,
% 21.77/22.20 ( mult(X1,ld(X2,mult(i(X2),X1))) = mult(ld(X2,X1),mult(i(X2),X1)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.52.0.0','0.21.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.2','L')]).
% 21.77/22.20 cnf('0.52.0.2',plain,
% 21.77/22.20 ( ld(ld(mult(i(X2),X1),X2),X1) = mult(ld(X2,X1),mult(i(X2),X1)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.52.0.1','0.36.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.52.0.3',plain,
% 21.77/22.20 ( ld(ld(ld(X2,X1),X2),X1) = mult(ld(X2,X1),mult(i(X2),X1)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.52.0.2','0.21.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1.1','L')]).
% 21.77/22.20 cnf('0.52.0.4',plain,
% 21.77/22.20 ( ld(ld(ld(X2,X1),X2),X1) = ld(ld(X1,X2),mult(i(X2),X1)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.52.0.3','0.35.2.0',theory(equality)]),
% 21.77/22.20 [pos('R','L')]).
% 21.77/22.20 cnf('0.52.0.5',plain,
% 21.77/22.20 ( ld(ld(ld(X2,X1),X2),X1) = ld(ld(X1,X2),ld(X2,X1)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.52.0.4','0.21.2.0',theory(equality)]),
% 21.77/22.20 [pos('R.2','L')]).
% 21.77/22.20 cnf('0.52.1.0',plain,
% 21.77/22.20 ( ld(ld(ld(X2,X1),X2),X1) = ld(ld(X1,X2),ld(X2,X1)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.52.0.5']),
% 21.77/22.20 [weight('<119,45,21,[1,0,0,1]>')]).
% 21.77/22.20 cnf('0.52.2.0',plain,
% 21.77/22.20 ( ld(ld(ld(X1,X2),X1),X2) = ld(ld(X2,X1),ld(X1,X2)) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 21.77/22.20 [u,rule_49]).
% 21.77/22.20 cnf('0.53.0.0',plain,
% 21.77/22.20 ( ld(ld(mult(X1,X2),X1),ld(X1,mult(X1,X2))) = ld(ld(X2,X1),mult(X1,X2)) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.52.2.0','0.8.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1.1','L')]).
% 21.77/22.20 cnf('0.53.0.1',plain,
% 21.77/22.20 ( ld(i(X2),ld(X1,mult(X1,X2))) = ld(ld(X2,X1),mult(X1,X2)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.53.0.0','0.32.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1','L')]).
% 21.77/22.20 cnf('0.53.0.2',plain,
% 21.77/22.20 ( mult(X2,ld(X1,mult(X1,X2))) = ld(ld(X2,X1),mult(X1,X2)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.53.0.1','0.23.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.53.0.3',plain,
% 21.77/22.20 ( ld(ld(mult(X1,X2),X1),X2) = ld(ld(X2,X1),mult(X1,X2)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.53.0.2','0.36.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.53.0.4',plain,
% 21.77/22.20 ( ld(i(X2),X2) = ld(ld(X2,X1),mult(X1,X2)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.53.0.3','0.32.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1','L')]).
% 21.77/22.20 cnf('0.53.0.5',plain,
% 21.77/22.20 ( mult(X2,X2) = ld(ld(X2,X1),mult(X1,X2)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.53.0.4','0.23.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.53.1.0',plain,
% 21.77/22.20 ( mult(X2,X2) = ld(ld(X2,X1),mult(X1,X2)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.53.0.5']),
% 21.77/22.20 [weight('<87,52,8,[1,0,0,2]>')]).
% 21.77/22.20 cnf('0.53.2.0',plain,
% 21.77/22.20 ( ld(ld(X1,X2),mult(X2,X1)) = mult(X1,X1) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_50]).
% 21.77/22.20 cnf('0.55.0.0',plain,
% 21.77/22.20 ( ld(ld(X1,ld(X2,X1)),ld(ld(X2,X1),X1)) = ld(ld(X2,ld(X2,X1)),X1) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.52.2.0','0.27.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1.1','L')]).
% 21.77/22.20 cnf('0.55.0.1',plain,
% 21.77/22.20 ( ld(i(X2),ld(ld(X2,X1),X1)) = ld(ld(X2,ld(X2,X1)),X1) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.55.0.0','0.28.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1','L')]).
% 21.77/22.20 cnf('0.55.0.2',plain,
% 21.77/22.20 ( mult(X2,ld(ld(X2,X1),X1)) = ld(ld(X2,ld(X2,X1)),X1) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.55.0.1','0.23.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.55.0.3',plain,
% 21.77/22.20 ( ld(ld(X1,ld(X2,X1)),X2) = ld(ld(X2,ld(X2,X1)),X1) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.55.0.2','0.36.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.55.0.4',plain,
% 21.77/22.20 ( ld(i(X2),X2) = ld(ld(X2,ld(X2,X1)),X1) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.55.0.3','0.28.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1','L')]).
% 21.77/22.20 cnf('0.55.0.5',plain,
% 21.77/22.20 ( mult(X2,X2) = ld(ld(X2,ld(X2,X1)),X1) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.55.0.4','0.23.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.55.1.0',plain,
% 21.77/22.20 ( mult(X2,X2) = ld(ld(X2,ld(X2,X1)),X1) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.55.0.5']),
% 21.77/22.20 [weight('<87,52,27,[1,0,0,2]>')]).
% 21.77/22.20 cnf('0.55.2.0',plain,
% 21.77/22.20 ( ld(ld(X1,ld(X1,X2)),X2) = mult(X1,X1) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_52]).
% 21.77/22.20 cnf('0.56.0.0',plain,
% 21.77/22.20 ( ld(X1,ld(X1,X2)) = ld(mult(X1,X1),X2) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.27.2.0','0.55.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1','L')]).
% 21.77/22.20 cnf('0.56.1.0',plain,
% 21.77/22.20 ( ld(X1,ld(X1,X2)) = ld(mult(X1,X1),X2) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.56.0.0']),
% 21.77/22.20 [weight('<65,55,27,[0,0,0,1]>')]).
% 21.77/22.20 cnf('0.56.2.0',plain,
% 21.77/22.20 ( ld(mult(X1,X1),X2) = ld(X1,ld(X1,X2)) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_53]).
% 21.77/22.20 cnf('0.57.0.0',plain,
% 21.77/22.20 ( i(ld(X1,ld(X1,X2))) = ld(X2,mult(X1,X1)) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.28.2.0','0.55.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.2','L')]).
% 21.77/22.20 cnf('0.57.0.1',plain,
% 21.77/22.20 ( ld(ld(X1,X2),X1) = ld(X2,mult(X1,X1)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.57.0.0','0.29.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.57.1.0',plain,
% 21.77/22.20 ( ld(ld(X1,X2),X1) = ld(X2,mult(X1,X1)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.57.0.1']),
% 21.77/22.20 [weight('<65,55,28,[0,0,0,2]>')]).
% 21.77/22.20 cnf('0.57.2.0',plain,
% 21.77/22.20 ( ld(ld(X1,X2),X1) = ld(X2,mult(X1,X1)) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 21.77/22.20 [u,rule_54]).
% 21.77/22.20 cnf('0.58.0.0',plain,
% 21.77/22.20 ( ld(i(X1),mult(X2,X2)) = ld(ld(X1,i(X2)),X2) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.57.2.0','0.37.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.1','L')]).
% 21.77/22.20 cnf('0.58.0.1',plain,
% 21.77/22.20 ( mult(X1,mult(X2,X2)) = ld(ld(X1,i(X2)),X2) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.58.0.0','0.23.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.58.0.2',plain,
% 21.77/22.20 ( mult(X1,mult(X2,X2)) = mult(mult(X2,X1),X2) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.58.0.1','0.38.2.0',theory(equality)]),
% 21.77/22.20 [pos('R','L')]).
% 21.77/22.20 cnf('0.58.1.0',plain,
% 21.77/22.20 ( mult(X1,mult(X2,X2)) = mult(mult(X2,X1),X2) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.58.0.2']),
% 21.77/22.20 [weight('<65,57,37,[1,0,0,1]>')]).
% 21.77/22.20 cnf('0.58.1.1',plain,
% 21.77/22.20 ( mult(X1,mult(X2,X2)) = mult(X2,mult(X2,X1)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.58.1.0','0.9.2.0',theory(equality)]),
% 21.77/22.20 [pos('R','L')]).
% 21.77/22.20 cnf('0.58.2.0',plain,
% 21.77/22.20 ( mult(X1,mult(X2,X2)) = mult(X2,mult(X2,X1)) ),
% 21.77/22.20 inference(activate,[status(thm)],['0.58.1.1']),
% 21.77/22.20 [equation_4]).
% 21.77/22.20 cnf('0.59.0.0',plain,
% 21.77/22.20 ( ld(i(X1),mult(X2,X2)) = mult(mult(X1,X2),X2) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.57.2.0','0.38.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.59.0.1',plain,
% 21.77/22.20 ( mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.59.0.0','0.23.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.59.1.0',plain,
% 21.77/22.20 ( mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.59.0.1']),
% 21.77/22.20 [weight('<65,57,38,[1,0,0,0]>')]).
% 21.77/22.20 cnf('0.59.1.1',plain,
% 21.77/22.20 ( mult(X1,mult(X2,X2)) = mult(X2,mult(X1,X2)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.59.1.0','0.9.2.0',theory(equality)]),
% 21.77/22.20 [pos('R','L')]).
% 21.77/22.20 cnf('0.59.2.0',plain,
% 21.77/22.20 ( mult(X1,mult(X2,X2)) = mult(X2,mult(X1,X2)) ),
% 21.77/22.20 inference(activate,[status(thm)],['0.59.1.1']),
% 21.77/22.20 [equation_5]).
% 21.77/22.20 cnf('0.60.0.0',plain,
% 21.77/22.20 ( mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.58.2.0','0.9.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.60.1.0',plain,
% 21.77/22.20 ( mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.60.0.0']),
% 21.77/22.20 [weight('<65,58,9,[1,0,0,0]>')]).
% 21.77/22.20 cnf('0.60.2.0',plain,
% 21.77/22.20 ( mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)) ),
% 21.77/22.20 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 21.77/22.20 [x,rule_55]).
% 21.77/22.20 cnf('0.63.0.0',plain,
% 21.77/22.20 ( i(ld(X1,X2)) = ld(mult(X2,X1),mult(X1,X1)) ),
% 21.77/22.20 inference(cp,[status(thm)],['0.28.2.0','0.53.2.0',theory(equality)]),
% 21.77/22.20 [pos('L.2','L')]).
% 21.77/22.20 cnf('0.63.0.1',plain,
% 21.77/22.20 ( ld(X2,X1) = ld(mult(X2,X1),mult(X1,X1)) ),
% 21.77/22.20 inference(reduction,[status(thm)],['0.63.0.0','0.29.2.0',theory(equality)]),
% 21.77/22.20 [pos('L','L')]).
% 21.77/22.20 cnf('0.63.1.0',plain,
% 21.77/22.20 ( ld(X2,X1) = ld(mult(X2,X1),mult(X1,X1)) ),
% 21.77/22.20 inference(weigh,[status(thm)],['0.63.0.1']),
% 21.77/22.21 [weight('<87,53,28,[0,0,0,2]>')]).
% 21.77/22.21 cnf('0.63.2.0',plain,
% 21.77/22.21 ( ld(mult(X1,X2),mult(X2,X2)) = ld(X1,X2) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_58]).
% 21.77/22.21 cnf('0.64.0.0',plain,
% 21.77/22.21 ( mult(X1,X2) = ld(ld(X1,X2),mult(X2,X2)) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.40.2.0','0.53.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','L')]).
% 21.77/22.21 cnf('0.64.1.0',plain,
% 21.77/22.21 ( mult(X1,X2) = ld(ld(X1,X2),mult(X2,X2)) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.64.0.0']),
% 21.77/22.21 [weight('<87,53,40,[0,0,0,4]>')]).
% 21.77/22.21 cnf('0.64.2.0',plain,
% 21.77/22.21 ( ld(ld(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_59]).
% 21.77/22.21 cnf('0.66.0.0',plain,
% 21.77/22.21 ( ld(X1,X2) = ld(ld(X2,mult(X1,X1)),X1) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.27.2.0','0.57.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.66.1.0',plain,
% 21.77/22.21 ( ld(X1,X2) = ld(ld(X2,mult(X1,X1)),X1) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.66.0.0']),
% 21.77/22.21 [weight('<87,57,27,[0,0,0,1]>')]).
% 21.77/22.21 cnf('0.66.2.0',plain,
% 21.77/22.21 ( ld(ld(X1,mult(X2,X2)),X2) = ld(X2,X1) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_61]).
% 21.77/22.21 cnf('0.67.0.0',plain,
% 21.77/22.21 ( i(ld(X1,X2)) = ld(X1,ld(X2,mult(X1,X1))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.28.2.0','0.57.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','L')]).
% 21.77/22.21 cnf('0.67.0.1',plain,
% 21.77/22.21 ( ld(X2,X1) = ld(X1,ld(X2,mult(X1,X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.67.0.0','0.29.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.67.1.0',plain,
% 21.77/22.21 ( ld(X2,X1) = ld(X1,ld(X2,mult(X1,X1))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.67.0.1']),
% 21.77/22.21 [weight('<87,57,28,[0,0,0,2]>')]).
% 21.77/22.21 cnf('0.67.2.0',plain,
% 21.77/22.21 ( ld(X1,ld(X2,mult(X1,X1))) = ld(X2,X1) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_62]).
% 21.77/22.21 cnf('0.73.0.0',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X2,X1))) = i(mult(X2,X2)) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.29.2.0','0.55.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.73.0.1',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X2,X1))) = ld(X2,i(X2)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.73.0.0','0.30.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('0.73.1.0',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X2,X1))) = ld(X2,i(X2)) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.73.0.1']),
% 21.77/22.21 [weight('<95,55,29,[0,0,0,1]>')]).
% 21.77/22.21 cnf('0.73.2.0',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X2,X1))) = ld(X2,i(X2)) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 21.77/22.21 [u,rule_67]).
% 21.77/22.21 cnf('0.82.0.0',plain,
% 21.77/22.21 ( mult(X1,mult(i(X2),mult(i(X2),X1))) = mult(mult(i(X2),X1),ld(X2,X1)) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.45.2.0','0.21.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','L')]).
% 21.77/22.21 cnf('0.82.0.1',plain,
% 21.77/22.21 ( mult(X1,ld(X2,mult(i(X2),X1))) = mult(mult(i(X2),X1),ld(X2,X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.82.0.0','0.21.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','L')]).
% 21.77/22.21 cnf('0.82.0.2',plain,
% 21.77/22.21 ( ld(ld(mult(i(X2),X1),X2),X1) = mult(mult(i(X2),X1),ld(X2,X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.82.0.1','0.36.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.82.0.3',plain,
% 21.77/22.21 ( ld(ld(ld(X2,X1),X2),X1) = mult(mult(i(X2),X1),ld(X2,X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.82.0.2','0.21.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1.1','L')]).
% 21.77/22.21 cnf('0.82.0.4',plain,
% 21.77/22.21 ( ld(ld(ld(X2,X1),X2),X1) = ld(ld(X1,X2),mult(i(X2),X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.82.0.3','0.36.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('0.82.0.5',plain,
% 21.77/22.21 ( ld(ld(ld(X2,X1),X2),X1) = ld(ld(X1,X2),ld(X2,X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.82.0.4','0.21.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.2','L')]).
% 21.77/22.21 cnf('0.82.1.0',plain,
% 21.77/22.21 ( ld(ld(ld(X2,X1),X2),X1) = ld(ld(X1,X2),ld(X2,X1)) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.82.0.5']),
% 21.77/22.21 [weight('<119,45,21,[1,0,0,4]>')]).
% 21.77/22.21 cnf('0.82.1.1',plain,
% 21.77/22.21 ( ld(ld(X1,mult(X2,X2)),X1) = ld(ld(X1,X2),ld(X2,X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.82.1.0','0.57.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.82.1.2',plain,
% 21.77/22.21 ( ld(mult(X2,X2),mult(X1,X1)) = ld(ld(X1,X2),ld(X2,X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.82.1.1','0.57.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.82.1.3',plain,
% 21.77/22.21 ( ld(X2,ld(X2,mult(X1,X1))) = ld(ld(X1,X2),ld(X2,X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.82.1.2','0.56.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.82.2.0',plain,
% 21.77/22.21 ( ld(ld(X1,X2),ld(X2,X1)) = ld(X2,ld(X2,mult(X1,X1))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.82.1.3',theory(equality)]),
% 21.77/22.21 [x,rule_75]).
% 21.77/22.21 cnf('0.89.0.0',plain,
% 21.77/22.21 ( mult(mult(X1,X2),X3) = ld(i(X3),mult(X2,X1)) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.41.2.0','0.32.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.89.0.1',plain,
% 21.77/22.21 ( mult(mult(X1,X2),X3) = mult(X3,mult(X2,X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.89.0.0','0.23.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('0.89.1.0',plain,
% 21.77/22.21 ( mult(mult(X1,X2),X3) = mult(X3,mult(X2,X1)) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.89.0.1']),
% 21.77/22.21 [weight('<120,41,32,[1,0,0,1]>')]).
% 21.77/22.21 cnf('0.89.2.0',plain,
% 21.77/22.21 ( mult(mult(X1,X2),X3) = mult(X3,mult(X2,X1)) ),
% 21.77/22.21 inference(activate,[status(thm)],['0.89.1.0']),
% 21.77/22.21 [equation_11]).
% 21.77/22.21 cnf('0.92.0.0',plain,
% 21.77/22.21 ( mult(mult(mult(X1,X2),X3),X4) = ld(ld(X3,ld(X2,i(X1))),X4) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.38.2.0','0.30.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1.2','L')]).
% 21.77/22.21 cnf('0.92.1.0',plain,
% 21.77/22.21 ( mult(mult(mult(X1,X2),X3),X4) = ld(ld(X3,ld(X2,i(X1))),X4) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.92.0.0']),
% 21.77/22.21 [weight('<143,38,30,[1,0,0,3]>')]).
% 21.77/22.21 cnf('0.92.2.0',plain,
% 21.77/22.21 ( ld(ld(X1,ld(X2,i(X3))),X4) = mult(mult(mult(X3,X2),X1),X4) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.92.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_81]).
% 21.77/22.21 cnf('0.93.0.0',plain,
% 21.77/22.21 ( ld(mult(X1,X2),ld(X3,X4)) = ld(ld(X4,X3),ld(X2,i(X1))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.39.2.0','0.30.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','L')]).
% 21.77/22.21 cnf('0.93.1.0',plain,
% 21.77/22.21 ( ld(mult(X1,X2),ld(X3,X4)) = ld(ld(X4,X3),ld(X2,i(X1))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.93.0.0']),
% 21.77/22.21 [weight('<143,39,30,[1,0,0,4]>')]).
% 21.77/22.21 cnf('0.93.2.0',plain,
% 21.77/22.21 ( ld(ld(X1,X2),ld(X3,i(X4))) = ld(mult(X4,X3),ld(X2,X1)) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_82]).
% 21.77/22.21 cnf('0.146.0.0',plain,
% 21.77/22.21 ( mult(X1,mult(X2,mult(X2,mult(X1,X3)))) = mult(mult(X1,X2),mult(X3,mult(X2,X1))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.10.2.0','0.9.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.146.1.0',plain,
% 21.77/22.21 ( mult(X1,mult(X2,mult(X2,mult(X1,X3)))) = mult(mult(X1,X2),mult(X3,mult(X2,X1))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.146.0.0']),
% 21.77/22.21 [weight('<189,10,9,[1,0,0,1]>')]).
% 21.77/22.21 cnf('0.146.2.0',plain,
% 21.77/22.21 ( mult(mult(X1,X2),mult(X3,mult(X2,X1))) = mult(X1,mult(X2,mult(X2,mult(X1,X3)))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.146.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_126]).
% 21.77/22.21 cnf('0.148.0.0',plain,
% 21.77/22.21 ( mult(X1,mult(X2,mult(X2,mult(X1,X3)))) = mult(mult(X2,X1),mult(X3,mult(X1,X2))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.10.2.0','0.9.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2','L')]).
% 21.77/22.21 cnf('0.148.1.0',plain,
% 21.77/22.21 ( mult(X1,mult(X2,mult(X2,mult(X1,X3)))) = mult(mult(X2,X1),mult(X3,mult(X1,X2))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.148.0.0']),
% 21.77/22.21 [weight('<189,10,9,[1,0,0,6]>')]).
% 21.77/22.21 cnf('0.148.1.1',plain,
% 21.77/22.21 ( mult(X1,mult(X2,mult(X2,mult(X1,X3)))) = mult(X2,mult(X1,mult(X1,mult(X2,X3)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.148.1.0','0.146.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('0.148.2.0',plain,
% 21.77/22.21 ( mult(X1,mult(X2,mult(X2,mult(X1,X3)))) = mult(X2,mult(X1,mult(X1,mult(X2,X3)))) ),
% 21.77/22.21 inference(activate,[status(thm)],['0.148.1.1']),
% 21.77/22.21 [equation_21]).
% 21.77/22.21 cnf('0.150.0.0',plain,
% 21.77/22.21 ( mult(i(X1),mult(X2,mult(X2,mult(i(X1),X3)))) = mult(ld(X1,X2),mult(X3,mult(X2,i(X1)))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.10.2.0','0.22.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.150.0.1',plain,
% 21.77/22.21 ( ld(X1,mult(X2,mult(X2,mult(i(X1),X3)))) = mult(ld(X1,X2),mult(X3,mult(X2,i(X1)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.150.0.0','0.21.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.150.0.2',plain,
% 21.77/22.21 ( ld(X1,mult(X2,mult(X2,ld(X1,X3)))) = mult(ld(X1,X2),mult(X3,mult(X2,i(X1)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.150.0.1','0.21.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2.2','L')]).
% 21.77/22.21 cnf('0.150.0.3',plain,
% 21.77/22.21 ( ld(X1,mult(X2,mult(X2,ld(X1,X3)))) = mult(ld(X1,X2),mult(X3,ld(X1,X2))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.150.0.2','0.22.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.2.2','L')]).
% 21.77/22.21 cnf('0.150.1.0',plain,
% 21.77/22.21 ( ld(X1,mult(X2,mult(X2,ld(X1,X3)))) = mult(ld(X1,X2),mult(X3,ld(X1,X2))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.150.0.3']),
% 21.77/22.21 [weight('<189,22,10,[0,0,0,1]>')]).
% 21.77/22.21 cnf('0.150.1.1',plain,
% 21.77/22.21 ( ld(X1,mult(X2,ld(ld(X3,X1),X2))) = mult(ld(X1,X2),mult(X3,ld(X1,X2))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.150.1.0','0.36.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2','L')]).
% 21.77/22.21 cnf('0.150.1.2',plain,
% 21.77/22.21 ( ld(X1,ld(ld(X2,ld(X3,X1)),X2)) = mult(ld(X1,X2),mult(X3,ld(X1,X2))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.150.1.1','0.36.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','L')]).
% 21.77/22.21 cnf('0.150.1.3',plain,
% 21.77/22.21 ( ld(X1,ld(ld(X3,X1),mult(X2,X2))) = mult(ld(X1,X2),mult(X3,ld(X1,X2))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.150.1.2','0.57.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','L')]).
% 21.77/22.21 cnf('0.150.1.4',plain,
% 21.77/22.21 ( ld(X1,ld(ld(X3,X1),mult(X2,X2))) = ld(ld(X2,X1),mult(X3,ld(X1,X2))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.150.1.3','0.35.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('0.150.1.5',plain,
% 21.77/22.21 ( ld(X1,ld(ld(X3,X1),mult(X2,X2))) = ld(ld(X2,X1),ld(ld(X2,X1),X3)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.150.1.4','0.36.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.2','L')]).
% 21.77/22.21 cnf('0.150.2.0',plain,
% 21.77/22.21 ( ld(ld(X1,X2),ld(ld(X1,X2),X3)) = ld(X2,ld(ld(X3,X2),mult(X1,X1))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.150.1.5',theory(equality)]),
% 21.77/22.21 [x,rule_129]).
% 21.77/22.21 cnf('0.231.0.0',plain,
% 21.77/22.21 ( mult(X1,mult(X2,mult(X2,mult(X1,X3)))) = mult(mult(X2,X1),mult(mult(X1,X2),X3)) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.10.2.0','0.89.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','R')]).
% 21.77/22.21 cnf('0.231.1.0',plain,
% 21.77/22.21 ( mult(X1,mult(X2,mult(X2,mult(X1,X3)))) = mult(mult(X2,X1),mult(mult(X1,X2),X3)) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.231.0.0']),
% 21.77/22.21 [weight('<189,89,10,[0,1,0,4]>')]).
% 21.77/22.21 cnf('0.231.2.0',plain,
% 21.77/22.21 ( mult(mult(X1,X2),mult(mult(X2,X1),X3)) = mult(X2,mult(X1,mult(X1,mult(X2,X3)))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.231.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_200]).
% 21.77/22.21 cnf('0.237.0.0',plain,
% 21.77/22.21 ( ld(X1,ld(ld(X2,X1),mult(i(X3),i(X3)))) = ld(mult(X3,X1),ld(ld(i(X3),X1),X2)) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.150.2.0','0.23.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.237.0.1',plain,
% 21.77/22.21 ( ld(X1,ld(ld(X2,X1),ld(X3,i(X3)))) = ld(mult(X3,X1),ld(ld(i(X3),X1),X2)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.237.0.0','0.21.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2','L')]).
% 21.77/22.21 cnf('0.237.0.2',plain,
% 21.77/22.21 ( ld(X1,ld(mult(X3,X3),ld(X1,X2))) = ld(mult(X3,X1),ld(ld(i(X3),X1),X2)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.237.0.1','0.93.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','L')]).
% 21.77/22.21 cnf('0.237.0.3',plain,
% 21.77/22.21 ( ld(X1,ld(X3,ld(X3,ld(X1,X2)))) = ld(mult(X3,X1),ld(ld(i(X3),X1),X2)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.237.0.2','0.56.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','L')]).
% 21.77/22.21 cnf('0.237.0.4',plain,
% 21.77/22.21 ( ld(X1,ld(X3,ld(X3,ld(X1,X2)))) = ld(mult(X3,X1),ld(mult(X3,X1),X2)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.237.0.3','0.23.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.2.1','L')]).
% 21.77/22.21 cnf('0.237.1.0',plain,
% 21.77/22.21 ( ld(X1,ld(X3,ld(X3,ld(X1,X2)))) = ld(mult(X3,X1),ld(mult(X3,X1),X2)) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.237.0.4']),
% 21.77/22.21 [weight('<189,150,23,[1,0,0,1]>')]).
% 21.77/22.21 cnf('0.237.2.0',plain,
% 21.77/22.21 ( ld(mult(X1,X2),ld(mult(X1,X2),X3)) = ld(X2,ld(X1,ld(X1,ld(X2,X3)))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.237.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_204]).
% 21.77/22.21 cnf('0.312.0.0',plain,
% 21.77/22.21 ( X1 = ld(ld(X1,mult(X2,mult(X3,X4))),mult(X2,mult(X4,X3))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.41.2.0','0.89.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1.2','L')]).
% 21.77/22.21 cnf('0.312.1.0',plain,
% 21.77/22.21 ( X1 = ld(ld(X1,mult(X2,mult(X3,X4))),mult(X2,mult(X4,X3))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.312.0.0']),
% 21.77/22.21 [weight('<209,89,41,[0,0,0,3]>')]).
% 21.77/22.21 cnf('0.312.2.0',plain,
% 21.77/22.21 ( ld(ld(X1,mult(X2,mult(X3,X4))),mult(X2,mult(X4,X3))) = X1 ),
% 21.77/22.21 inference(orient,[status(thm)],['0.312.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_260]).
% 21.77/22.21 cnf('0.334.0.0',plain,
% 21.77/22.21 ( mult(mult(mult(mult(X1,X2),X3),X4),X5) = ld(ld(X4,ld(X3,ld(X2,i(X1)))),X5) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.92.2.0','0.30.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1.2.2','L')]).
% 21.77/22.21 cnf('0.334.1.0',plain,
% 21.77/22.21 ( mult(mult(mult(mult(X1,X2),X3),X4),X5) = ld(ld(X4,ld(X3,ld(X2,i(X1)))),X5) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.334.0.0']),
% 21.77/22.21 [weight('<219,92,30,[1,0,0,5]>')]).
% 21.77/22.21 cnf('0.334.2.0',plain,
% 21.77/22.21 ( ld(ld(X1,ld(X2,ld(X3,i(X4)))),X5) = mult(mult(mult(mult(X4,X3),X2),X1),X5) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.334.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_282]).
% 21.77/22.21 cnf('0.335.0.0',plain,
% 21.77/22.21 ( ld(mult(mult(X1,X2),X3),ld(X4,X5)) = ld(ld(X5,X4),ld(X3,ld(X2,i(X1)))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.93.2.0','0.30.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2','L')]).
% 21.77/22.21 cnf('0.335.1.0',plain,
% 21.77/22.21 ( ld(mult(mult(X1,X2),X3),ld(X4,X5)) = ld(ld(X5,X4),ld(X3,ld(X2,i(X1)))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.335.0.0']),
% 21.77/22.21 [weight('<219,93,30,[1,0,0,6]>')]).
% 21.77/22.21 cnf('0.335.2.0',plain,
% 21.77/22.21 ( ld(ld(X1,X2),ld(X3,ld(X4,i(X5)))) = ld(mult(mult(X5,X4),X3),ld(X2,X1)) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.335.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_283]).
% 21.77/22.21 cnf('0.388.0.0',plain,
% 21.77/22.21 ( ld(ld(X1,X2),ld(X3,X4)) = ld(ld(X4,X3),ld(X2,X1)) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.36.2.0','0.35.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.388.1.0',plain,
% 21.77/22.21 ( ld(ld(X1,X2),ld(X3,X4)) = ld(ld(X4,X3),ld(X2,X1)) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.388.0.0']),
% 21.77/22.21 [weight('<224,36,35,[1,0,0,0]>')]).
% 21.77/22.21 cnf('0.388.2.0',plain,
% 21.77/22.21 ( ld(ld(X1,X2),ld(X3,X4)) = ld(ld(X4,X3),ld(X2,X1)) ),
% 21.77/22.21 inference(activate,[status(thm)],['0.388.1.0']),
% 21.77/22.21 [equation_56]).
% 21.77/22.21 cnf('0.390.0.0',plain,
% 21.77/22.21 ( mult(X1,mult(mult(X2,X3),X2)) = mult(mult(X3,mult(X2,X2)),X1) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.89.2.0','0.58.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','R')]).
% 21.77/22.21 cnf('0.390.1.0',plain,
% 21.77/22.21 ( mult(X1,mult(mult(X2,X3),X2)) = mult(mult(X3,mult(X2,X2)),X1) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.390.0.0']),
% 21.77/22.21 [weight('<224,89,58,[1,0,1,1]>')]).
% 21.77/22.21 cnf('0.390.1.1',plain,
% 21.77/22.21 ( mult(X1,mult(X2,mult(X3,X2))) = mult(mult(X3,mult(X2,X2)),X1) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.390.1.0','0.89.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','L')]).
% 21.77/22.21 cnf('0.390.2.0',plain,
% 21.77/22.21 ( mult(X1,mult(X2,mult(X3,X2))) = mult(mult(X3,mult(X2,X2)),X1) ),
% 21.77/22.21 inference(activate,[status(thm)],['0.390.1.1']),
% 21.77/22.21 [equation_58]).
% 21.77/22.21 cnf('0.392.0.0',plain,
% 21.77/22.21 ( mult(mult(X1,X2),mult(X3,X3)) = mult(X3,mult(X3,mult(X2,X1))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.59.2.0','0.89.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.2','L')]).
% 21.77/22.21 cnf('0.392.1.0',plain,
% 21.77/22.21 ( mult(mult(X1,X2),mult(X3,X3)) = mult(X3,mult(X3,mult(X2,X1))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.392.0.0']),
% 21.77/22.21 [weight('<224,89,59,[0,0,1,2]>')]).
% 21.77/22.21 cnf('0.392.2.0',plain,
% 21.77/22.21 ( mult(mult(X1,X2),mult(X3,X3)) = mult(X3,mult(X3,mult(X2,X1))) ),
% 21.77/22.21 inference(activate,[status(thm)],['0.392.1.0']),
% 21.77/22.21 [equation_60]).
% 21.77/22.21 cnf('0.395.0.0',plain,
% 21.77/22.21 ( mult(mult(mult(X1,X1),X2),X3) = mult(X3,mult(X1,mult(X2,X1))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.89.2.0','0.59.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.2','L')]).
% 21.77/22.21 cnf('0.395.0.1',plain,
% 21.77/22.21 ( mult(mult(X1,mult(X1,X2)),X3) = mult(X3,mult(X1,mult(X2,X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.395.0.0','0.60.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.395.1.0',plain,
% 21.77/22.21 ( mult(mult(X1,mult(X1,X2)),X3) = mult(X3,mult(X1,mult(X2,X1))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.395.0.1']),
% 21.77/22.21 [weight('<224,89,59,[1,1,0,2]>')]).
% 21.77/22.21 cnf('0.395.2.0',plain,
% 21.77/22.21 ( mult(mult(X1,mult(X1,X2)),X3) = mult(X3,mult(X1,mult(X2,X1))) ),
% 21.77/22.21 inference(activate,[status(thm)],['0.395.1.0']),
% 21.77/22.21 [equation_63]).
% 21.77/22.21 cnf('0.401.0.0',plain,
% 21.77/22.21 ( mult(mult(mult(X1,X2),X3),X4) = ld(i(X4),mult(X3,mult(X2,X1))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.312.2.0','0.49.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.401.0.1',plain,
% 21.77/22.21 ( mult(mult(mult(X1,X2),X3),X4) = mult(X4,mult(X3,mult(X2,X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.401.0.0','0.23.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('0.401.1.0',plain,
% 21.77/22.21 ( mult(mult(mult(X1,X2),X3),X4) = mult(X4,mult(X3,mult(X2,X1))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.401.0.1']),
% 21.77/22.21 [weight('<224,312,49,[1,0,0,1]>')]).
% 21.77/22.21 cnf('0.401.2.0',plain,
% 21.77/22.21 ( mult(mult(mult(X1,X2),X3),X4) = mult(X4,mult(X3,mult(X2,X1))) ),
% 21.77/22.21 inference(activate,[status(thm)],['0.401.1.0']),
% 21.77/22.21 [equation_69]).
% 21.77/22.21 cnf('0.407.0.0',plain,
% 21.77/22.21 ( mult(ld(X1,X2),ld(X1,X2)) = ld(X3,mult(ld(ld(X2,X1),X3),ld(X1,X2))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.53.2.0','0.40.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.407.0.1',plain,
% 21.77/22.21 ( ld(ld(X2,X1),ld(X1,X2)) = ld(X3,mult(ld(ld(X2,X1),X3),ld(X1,X2))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.407.0.0','0.35.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.407.0.2',plain,
% 21.77/22.21 ( ld(ld(X2,X1),ld(X1,X2)) = ld(X3,ld(ld(X3,ld(X2,X1)),ld(X1,X2))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.407.0.1','0.35.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.2','L')]).
% 21.77/22.21 cnf('0.407.1.0',plain,
% 21.77/22.21 ( ld(ld(X2,X1),ld(X1,X2)) = ld(X3,ld(ld(X3,ld(X2,X1)),ld(X1,X2))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.407.0.2']),
% 21.77/22.21 [weight('<227,53,40,[1,0,0,1]>')]).
% 21.77/22.21 cnf('0.407.1.1',plain,
% 21.77/22.21 ( ld(X1,ld(X1,mult(X2,X2))) = ld(X3,ld(ld(X3,ld(X2,X1)),ld(X1,X2))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.407.1.0','0.82.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.407.1.2',plain,
% 21.77/22.21 ( ld(X1,ld(X1,mult(X2,X2))) = ld(X3,ld(ld(X2,X1),ld(ld(X2,X1),X3))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.407.1.1','0.388.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.2','L')]).
% 21.77/22.21 cnf('0.407.1.3',plain,
% 21.77/22.21 ( ld(X1,ld(X1,mult(X2,X2))) = ld(X3,ld(X1,ld(ld(X3,X1),mult(X2,X2)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.407.1.2','0.150.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.2','L')]).
% 21.77/22.21 cnf('0.407.2.0',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(ld(X1,X2),mult(X3,X3)))) = ld(X2,ld(X2,mult(X3,X3))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.407.1.3',theory(equality)]),
% 21.77/22.21 [x,rule_335]).
% 21.77/22.21 cnf('0.408.0.0',plain,
% 21.77/22.21 ( ld(mult(X1,X2),ld(mult(X1,X2),mult(X3,X3))) = ld(X2,ld(mult(X1,X2),ld(X1,mult(X3,X3)))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.407.2.0','0.26.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2.1','L')]).
% 21.77/22.21 cnf('0.408.0.1',plain,
% 21.77/22.21 ( ld(X2,ld(X1,ld(X1,ld(X2,mult(X3,X3))))) = ld(X2,ld(mult(X1,X2),ld(X1,mult(X3,X3)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.408.0.0','0.237.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.408.1.0',plain,
% 21.77/22.21 ( ld(X1,ld(X1,ld(X2,mult(X3,X3)))) = ld(mult(X1,X2),ld(X1,mult(X3,X3))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.408.0.1']),
% 21.77/22.21 [weight('<189,407,26,[1,0,0,5]>')]).
% 21.77/22.21 cnf('0.408.2.0',plain,
% 21.77/22.21 ( ld(mult(X1,X2),ld(X1,mult(X3,X3))) = ld(X1,ld(X1,ld(X2,mult(X3,X3)))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.408.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_336]).
% 21.77/22.21 cnf('0.412.0.0',plain,
% 21.77/22.21 ( ld(ld(X1,mult(X2,X2)),ld(ld(X1,mult(X2,X2)),ld(X3,mult(X2,X2)))) = ld(mult(ld(X1,mult(X2,X2)),X3),X1) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.408.2.0','0.27.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','L')]).
% 21.77/22.21 cnf('0.412.0.1',plain,
% 21.77/22.21 ( ld(mult(X2,X2),ld(ld(ld(X3,mult(X2,X2)),mult(X2,X2)),mult(X1,X1))) = ld(mult(ld(X1,mult(X2,X2)),X3),X1) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.412.0.0','0.150.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.412.0.2',plain,
% 21.77/22.21 ( ld(X2,ld(X2,ld(ld(ld(X3,mult(X2,X2)),mult(X2,X2)),mult(X1,X1)))) = ld(mult(ld(X1,mult(X2,X2)),X3),X1) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.412.0.1','0.56.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.412.0.3',plain,
% 21.77/22.21 ( ld(X2,ld(X2,ld(X3,mult(X1,X1)))) = ld(mult(ld(X1,mult(X2,X2)),X3),X1) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.412.0.2','0.41.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2.1','L')]).
% 21.77/22.21 cnf('0.412.0.4',plain,
% 21.77/22.21 ( ld(X2,ld(X2,ld(X3,mult(X1,X1)))) = ld(ld(ld(mult(X2,X2),X1),X3),X1) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.412.0.3','0.35.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.1','L')]).
% 21.77/22.21 cnf('0.412.0.5',plain,
% 21.77/22.21 ( ld(X2,ld(X2,ld(X3,mult(X1,X1)))) = ld(ld(ld(X2,ld(X2,X1)),X3),X1) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.412.0.4','0.56.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.1.1','L')]).
% 21.77/22.21 cnf('0.412.1.0',plain,
% 21.77/22.21 ( ld(X2,ld(X2,ld(X3,mult(X1,X1)))) = ld(ld(ld(X2,ld(X2,X1)),X3),X1) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.412.0.5']),
% 21.77/22.21 [weight('<189,408,27,[1,0,0,4]>')]).
% 21.77/22.21 cnf('0.412.2.0',plain,
% 21.77/22.21 ( ld(ld(ld(X1,ld(X1,X2)),X3),X2) = ld(X1,ld(X1,ld(X3,mult(X2,X2)))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.412.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_339]).
% 21.77/22.21 cnf('0.413.0.0',plain,
% 21.77/22.21 ( ld(mult(X1,X2),ld(mult(X1,X2),ld(X3,mult(X2,X2)))) = ld(mult(mult(X1,X2),X3),ld(X1,X2)) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.408.2.0','0.63.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','L')]).
% 21.77/22.21 cnf('0.413.0.1',plain,
% 21.77/22.21 ( ld(X2,ld(X1,ld(X1,ld(X2,ld(X3,mult(X2,X2)))))) = ld(mult(mult(X1,X2),X3),ld(X1,X2)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.413.0.0','0.237.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.413.0.2',plain,
% 21.77/22.21 ( ld(X2,ld(X1,ld(X1,ld(X3,X2)))) = ld(mult(mult(X1,X2),X3),ld(X1,X2)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.413.0.1','0.67.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2.2','L')]).
% 21.77/22.21 cnf('0.413.1.0',plain,
% 21.77/22.21 ( ld(X2,ld(X1,ld(X1,ld(X3,X2)))) = ld(mult(mult(X1,X2),X3),ld(X1,X2)) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.413.0.2']),
% 21.77/22.21 [weight('<189,408,63,[1,0,0,4]>')]).
% 21.77/22.21 cnf('0.413.2.0',plain,
% 21.77/22.21 ( ld(mult(mult(X1,X2),X3),ld(X1,X2)) = ld(X2,ld(X1,ld(X1,ld(X3,X2)))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.413.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_340]).
% 21.77/22.21 cnf('0.414.0.0',plain,
% 21.77/22.21 ( ld(ld(X1,X2),ld(ld(X1,X2),ld(X3,mult(X2,X2)))) = ld(mult(ld(X1,X2),X3),mult(X1,X2)) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.408.2.0','0.64.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','L')]).
% 21.77/22.21 cnf('0.414.0.1',plain,
% 21.77/22.21 ( ld(X2,ld(ld(ld(X3,mult(X2,X2)),X2),mult(X1,X1))) = ld(mult(ld(X1,X2),X3),mult(X1,X2)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.414.0.0','0.150.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.414.0.2',plain,
% 21.77/22.21 ( ld(X2,ld(ld(X2,X3),mult(X1,X1))) = ld(mult(ld(X1,X2),X3),mult(X1,X2)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.414.0.1','0.66.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.1','L')]).
% 21.77/22.21 cnf('0.414.0.3',plain,
% 21.77/22.21 ( ld(X2,ld(ld(X2,X3),mult(X1,X1))) = ld(ld(ld(X2,X1),X3),mult(X1,X2)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.414.0.2','0.35.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.1','L')]).
% 21.77/22.21 cnf('0.414.1.0',plain,
% 21.77/22.21 ( ld(X2,ld(ld(X2,X3),mult(X1,X1))) = ld(ld(ld(X2,X1),X3),mult(X1,X2)) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.414.0.3']),
% 21.77/22.21 [weight('<189,408,64,[1,0,0,4]>')]).
% 21.77/22.21 cnf('0.414.2.0',plain,
% 21.77/22.21 ( ld(ld(ld(X1,X2),X3),mult(X2,X1)) = ld(X1,ld(ld(X1,X3),mult(X2,X2))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.414.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_341]).
% 21.77/22.21 cnf('0.424.0.0',plain,
% 21.77/22.21 ( ld(ld(X1,X2),ld(ld(X1,X2),ld(X3,mult(X2,X2)))) = ld(ld(ld(ld(X1,X2),X1),X3),X2) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.412.2.0','0.27.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1.1.2','L')]).
% 21.77/22.21 cnf('0.424.0.1',plain,
% 21.77/22.21 ( ld(X2,ld(ld(ld(X3,mult(X2,X2)),X2),mult(X1,X1))) = ld(ld(ld(ld(X1,X2),X1),X3),X2) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.424.0.0','0.150.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.424.0.2',plain,
% 21.77/22.21 ( ld(X2,ld(ld(X2,X3),mult(X1,X1))) = ld(ld(ld(ld(X1,X2),X1),X3),X2) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.424.0.1','0.66.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.1','L')]).
% 21.77/22.21 cnf('0.424.0.3',plain,
% 21.77/22.21 ( ld(X2,ld(ld(X2,X3),mult(X1,X1))) = ld(ld(ld(X2,mult(X1,X1)),X3),X2) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.424.0.2','0.57.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.1.1','L')]).
% 21.77/22.21 cnf('0.424.1.0',plain,
% 21.77/22.21 ( ld(X2,ld(ld(X2,X3),mult(X1,X1))) = ld(ld(ld(X2,mult(X1,X1)),X3),X2) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.424.0.3']),
% 21.77/22.21 [weight('<189,412,27,[1,0,0,4]>')]).
% 21.77/22.21 cnf('0.424.2.0',plain,
% 21.77/22.21 ( ld(ld(ld(X1,mult(X2,X2)),X3),X1) = ld(X1,ld(ld(X1,X3),mult(X2,X2))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.424.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_351]).
% 21.77/22.21 cnf('0.426.0.0',plain,
% 21.77/22.21 ( ld(mult(X1,X2),ld(mult(X1,X2),ld(X3,mult(X2,X2)))) = ld(ld(ld(mult(X1,X2),i(X1)),X3),X2) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.412.2.0','0.31.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1.1.2','L')]).
% 21.77/22.21 cnf('0.426.0.1',plain,
% 21.77/22.21 ( ld(X2,ld(X1,ld(X1,ld(X2,ld(X3,mult(X2,X2)))))) = ld(ld(ld(mult(X1,X2),i(X1)),X3),X2) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.426.0.0','0.237.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.426.0.2',plain,
% 21.77/22.21 ( ld(X2,ld(X1,ld(X1,ld(X3,X2)))) = ld(ld(ld(mult(X1,X2),i(X1)),X3),X2) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.426.0.1','0.67.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2.2','L')]).
% 21.77/22.21 cnf('0.426.0.3',plain,
% 21.77/22.21 ( ld(X2,ld(X1,ld(X1,ld(X3,X2)))) = ld(mult(mult(X1,mult(X1,X2)),X3),X2) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.426.0.2','0.38.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.1','L')]).
% 21.77/22.21 cnf('0.426.1.0',plain,
% 21.77/22.21 ( ld(X2,ld(X1,ld(X1,ld(X3,X2)))) = ld(mult(mult(X1,mult(X1,X2)),X3),X2) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.426.0.3']),
% 21.77/22.21 [weight('<189,412,31,[1,0,0,4]>')]).
% 21.77/22.21 cnf('0.426.2.0',plain,
% 21.77/22.21 ( ld(mult(mult(X1,mult(X1,X2)),X3),X2) = ld(X2,ld(X1,ld(X1,ld(X3,X2)))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.426.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_353]).
% 21.77/22.21 cnf('0.427.0.0',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X2,ld(X3,X1)))) = ld(mult(mult(X1,X2),X3),ld(X2,X1)) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.413.2.0','0.9.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1.1','L')]).
% 21.77/22.21 cnf('0.427.1.0',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X2,ld(X3,X1)))) = ld(mult(mult(X1,X2),X3),ld(X2,X1)) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.427.0.0']),
% 21.77/22.21 [weight('<189,413,9,[1,0,0,2]>')]).
% 21.77/22.21 cnf('0.427.2.0',plain,
% 21.77/22.21 ( ld(mult(mult(X1,X2),X3),ld(X2,X1)) = ld(X1,ld(X2,ld(X2,ld(X3,X1)))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.427.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_354]).
% 21.77/22.21 cnf('0.428.0.0',plain,
% 21.77/22.21 ( ld(i(X1),ld(X2,ld(X2,ld(X3,i(X1))))) = ld(mult(ld(X1,X2),X3),ld(X2,i(X1))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.413.2.0','0.22.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1.1','L')]).
% 21.77/22.21 cnf('0.428.0.1',plain,
% 21.77/22.21 ( mult(X1,ld(X2,ld(X2,ld(X3,i(X1))))) = ld(mult(ld(X1,X2),X3),ld(X2,i(X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.428.0.0','0.23.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.428.0.2',plain,
% 21.77/22.21 ( ld(ld(ld(X2,ld(X3,i(X1))),X2),X1) = ld(mult(ld(X1,X2),X3),ld(X2,i(X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.428.0.1','0.36.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.428.0.3',plain,
% 21.77/22.21 ( ld(mult(mult(mult(X1,X3),X2),X2),X1) = ld(mult(ld(X1,X2),X3),ld(X2,i(X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.428.0.2','0.92.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.428.0.4',plain,
% 21.77/22.21 ( ld(mult(mult(mult(X1,X3),X2),X2),X1) = ld(ld(ld(X2,X1),X3),ld(X2,i(X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.428.0.3','0.35.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.1','L')]).
% 21.77/22.21 cnf('0.428.0.5',plain,
% 21.77/22.21 ( ld(mult(mult(mult(X1,X3),X2),X2),X1) = ld(mult(X1,X2),ld(X3,ld(X2,X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.428.0.4','0.93.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('0.428.1.0',plain,
% 21.77/22.21 ( ld(mult(mult(mult(X1,X3),X2),X2),X1) = ld(mult(X1,X2),ld(X3,ld(X2,X1))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.428.0.5']),
% 21.77/22.21 [weight('<189,413,22,[1,0,0,2]>')]).
% 21.77/22.21 cnf('0.428.1.1',plain,
% 21.77/22.21 ( ld(mult(X2,mult(X2,mult(X3,X1))),X1) = ld(mult(X1,X2),ld(X3,ld(X2,X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.428.1.0','0.401.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.428.2.0',plain,
% 21.77/22.21 ( ld(mult(X1,mult(X1,mult(X2,X3))),X3) = ld(mult(X3,X1),ld(X2,ld(X1,X3))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.428.1.1',theory(equality)]),
% 21.77/22.21 [u,rule_355]).
% 21.77/22.21 cnf('0.432.0.0',plain,
% 21.77/22.21 ( ld(i(X1),ld(ld(i(X1),X2),mult(X3,X3))) = ld(ld(ld(i(X1),X3),X2),ld(X1,X3)) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.414.2.0','0.22.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','L')]).
% 21.77/22.21 cnf('0.432.0.1',plain,
% 21.77/22.21 ( mult(X1,ld(ld(i(X1),X2),mult(X3,X3))) = ld(ld(ld(i(X1),X3),X2),ld(X1,X3)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.432.0.0','0.23.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.432.0.2',plain,
% 21.77/22.21 ( ld(ld(mult(X3,X3),ld(i(X1),X2)),X1) = ld(ld(ld(i(X1),X3),X2),ld(X1,X3)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.432.0.1','0.36.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.432.0.3',plain,
% 21.77/22.21 ( ld(ld(X3,ld(X3,ld(i(X1),X2))),X1) = ld(ld(ld(i(X1),X3),X2),ld(X1,X3)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.432.0.2','0.56.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.432.0.4',plain,
% 21.77/22.21 ( ld(ld(X3,ld(X3,mult(X1,X2))),X1) = ld(ld(ld(i(X1),X3),X2),ld(X1,X3)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.432.0.3','0.23.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1.2.2','L')]).
% 21.77/22.21 cnf('0.432.0.5',plain,
% 21.77/22.21 ( ld(ld(X3,ld(X3,mult(X1,X2))),X1) = ld(ld(mult(X1,X3),X2),ld(X1,X3)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.432.0.4','0.23.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.1.1','L')]).
% 21.77/22.21 cnf('0.432.1.0',plain,
% 21.77/22.21 ( ld(ld(X3,ld(X3,mult(X1,X2))),X1) = ld(ld(mult(X1,X3),X2),ld(X1,X3)) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.432.0.5']),
% 21.77/22.21 [weight('<189,414,22,[1,0,0,6]>')]).
% 21.77/22.21 cnf('0.432.1.1',plain,
% 21.77/22.21 ( ld(ld(X3,ld(X3,mult(X1,X2))),X1) = ld(ld(X3,X1),ld(X2,mult(X1,X3))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.432.1.0','0.388.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('0.432.2.0',plain,
% 21.77/22.21 ( ld(ld(X1,ld(X1,mult(X2,X3))),X2) = ld(ld(X1,X2),ld(X3,mult(X2,X1))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.432.1.1',theory(equality)]),
% 21.77/22.21 [u,rule_359]).
% 21.77/22.21 cnf('0.449.0.0',plain,
% 21.77/22.21 ( ld(i(X1),ld(ld(i(X1),X2),mult(X3,X3))) = ld(ld(mult(X1,mult(X3,X3)),X2),i(X1)) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.424.2.0','0.23.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1.1','L')]).
% 21.77/22.21 cnf('0.449.0.1',plain,
% 21.77/22.21 ( mult(X1,ld(ld(i(X1),X2),mult(X3,X3))) = ld(ld(mult(X1,mult(X3,X3)),X2),i(X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.449.0.0','0.23.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.449.0.2',plain,
% 21.77/22.21 ( ld(ld(mult(X3,X3),ld(i(X1),X2)),X1) = ld(ld(mult(X1,mult(X3,X3)),X2),i(X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.449.0.1','0.36.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.449.0.3',plain,
% 21.77/22.21 ( ld(ld(X3,ld(X3,ld(i(X1),X2))),X1) = ld(ld(mult(X1,mult(X3,X3)),X2),i(X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.449.0.2','0.56.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.449.0.4',plain,
% 21.77/22.21 ( ld(ld(X3,ld(X3,mult(X1,X2))),X1) = ld(ld(mult(X1,mult(X3,X3)),X2),i(X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.449.0.3','0.23.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1.2.2','L')]).
% 21.77/22.21 cnf('0.449.0.5',plain,
% 21.77/22.21 ( ld(ld(X3,ld(X3,mult(X1,X2))),X1) = ld(X1,ld(X2,mult(X1,mult(X3,X3)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.449.0.4','0.39.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('0.449.1.0',plain,
% 21.77/22.21 ( ld(ld(X3,ld(X3,mult(X1,X2))),X1) = ld(X1,ld(X2,mult(X1,mult(X3,X3)))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.449.0.5']),
% 21.77/22.21 [weight('<189,424,23,[1,0,0,2]>')]).
% 21.77/22.21 cnf('0.449.1.1',plain,
% 21.77/22.21 ( ld(ld(X3,X1),ld(X2,mult(X1,X3))) = ld(X1,ld(X2,mult(X1,mult(X3,X3)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.449.1.0','0.432.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.449.2.0',plain,
% 21.77/22.21 ( ld(ld(X1,X2),ld(X3,mult(X2,X1))) = ld(X2,ld(X3,mult(X2,mult(X1,X1)))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.449.1.1',theory(equality)]),
% 21.77/22.21 [u,rule_376]).
% 21.77/22.21 cnf('0.458.0.0',plain,
% 21.77/22.21 ( ld(i(X1),ld(X2,ld(X2,ld(X3,i(X1))))) = ld(mult(mult(X2,ld(X1,X2)),X3),i(X1)) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.426.2.0','0.22.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1.1.2','L')]).
% 21.77/22.21 cnf('0.458.0.1',plain,
% 21.77/22.21 ( mult(X1,ld(X2,ld(X2,ld(X3,i(X1))))) = ld(mult(mult(X2,ld(X1,X2)),X3),i(X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.458.0.0','0.23.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.458.0.2',plain,
% 21.77/22.21 ( ld(ld(ld(X2,ld(X3,i(X1))),X2),X1) = ld(mult(mult(X2,ld(X1,X2)),X3),i(X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.458.0.1','0.36.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.458.0.3',plain,
% 21.77/22.21 ( ld(mult(mult(mult(X1,X3),X2),X2),X1) = ld(mult(mult(X2,ld(X1,X2)),X3),i(X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.458.0.2','0.92.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.458.0.4',plain,
% 21.77/22.21 ( ld(mult(mult(mult(X1,X3),X2),X2),X1) = ld(mult(ld(ld(X2,X1),X2),X3),i(X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.458.0.3','0.36.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.1.1','L')]).
% 21.77/22.21 cnf('0.458.0.5',plain,
% 21.77/22.21 ( ld(mult(mult(mult(X1,X3),X2),X2),X1) = ld(mult(ld(X1,mult(X2,X2)),X3),i(X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.458.0.4','0.57.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.1.1','L')]).
% 21.77/22.21 cnf('0.458.0.6',plain,
% 21.77/22.21 ( ld(mult(mult(mult(X1,X3),X2),X2),X1) = ld(ld(ld(mult(X2,X2),X1),X3),i(X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.458.0.5','0.35.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.1','L')]).
% 21.77/22.21 cnf('0.458.0.7',plain,
% 21.77/22.21 ( ld(mult(mult(mult(X1,X3),X2),X2),X1) = ld(X1,ld(X3,ld(mult(X2,X2),X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.458.0.6','0.39.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('0.458.0.8',plain,
% 21.77/22.21 ( ld(mult(mult(mult(X1,X3),X2),X2),X1) = ld(X1,ld(X3,ld(X2,ld(X2,X1)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.458.0.7','0.56.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.2.2','L')]).
% 21.77/22.21 cnf('0.458.1.0',plain,
% 21.77/22.21 ( ld(mult(mult(mult(X1,X3),X2),X2),X1) = ld(X1,ld(X3,ld(X2,ld(X2,X1)))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.458.0.8']),
% 21.77/22.21 [weight('<189,426,22,[1,0,0,4]>')]).
% 21.77/22.21 cnf('0.458.1.1',plain,
% 21.77/22.21 ( ld(mult(X2,mult(X2,mult(X3,X1))),X1) = ld(X1,ld(X3,ld(X2,ld(X2,X1)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.458.1.0','0.401.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.458.1.2',plain,
% 21.77/22.21 ( ld(mult(X1,X2),ld(X3,ld(X2,X1))) = ld(X1,ld(X3,ld(X2,ld(X2,X1)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.458.1.1','0.428.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.458.2.0',plain,
% 21.77/22.21 ( ld(mult(X1,X2),ld(X3,ld(X2,X1))) = ld(X1,ld(X3,ld(X2,ld(X2,X1)))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.458.1.2',theory(equality)]),
% 21.77/22.21 [u,rule_385]).
% 21.77/22.21 cnf('0.476.0.0',plain,
% 21.77/22.21 ( ld(X1,ld(X2,mult(X1,mult(ld(X1,X3),ld(X1,X3))))) = ld(ld(X3,mult(X1,X1)),ld(X2,mult(X1,ld(X1,X3)))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.449.2.0','0.57.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.476.0.1',plain,
% 21.77/22.21 ( ld(X1,ld(X2,mult(X1,ld(ld(X3,X1),ld(X1,X3))))) = ld(ld(X3,mult(X1,X1)),ld(X2,mult(X1,ld(X1,X3)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.476.0.0','0.35.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2.2','L')]).
% 21.77/22.21 cnf('0.476.0.2',plain,
% 21.77/22.21 ( ld(X1,ld(X2,mult(X1,ld(X1,ld(X1,mult(X3,X3)))))) = ld(ld(X3,mult(X1,X1)),ld(X2,mult(X1,ld(X1,X3)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.476.0.1','0.82.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2.2','L')]).
% 21.77/22.21 cnf('0.476.0.3',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(ld(ld(X1,mult(X3,X3)),X1),X1))) = ld(ld(X3,mult(X1,X1)),ld(X2,mult(X1,ld(X1,X3)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.476.0.2','0.36.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2','L')]).
% 21.77/22.21 cnf('0.476.0.4',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X1,ld(ld(X1,X1),mult(X3,X3))))) = ld(ld(X3,mult(X1,X1)),ld(X2,mult(X1,ld(X1,X3)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.476.0.3','0.424.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2','L')]).
% 21.77/22.21 cnf('0.476.0.5',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X1,ld(unit,mult(X3,X3))))) = ld(ld(X3,mult(X1,X1)),ld(X2,mult(X1,ld(X1,X3)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.476.0.4','0.15.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2.2.1','L')]).
% 21.77/22.21 cnf('0.476.0.6',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X1,mult(X3,X3)))) = ld(ld(X3,mult(X1,X1)),ld(X2,mult(X1,ld(X1,X3)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.476.0.5','0.11.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2.2','L')]).
% 21.77/22.21 cnf('0.476.0.7',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X1,mult(X3,X3)))) = ld(ld(X3,mult(X1,X1)),ld(X2,ld(ld(X3,X1),X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.476.0.6','0.36.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.2.2','L')]).
% 21.77/22.21 cnf('0.476.0.8',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X1,mult(X3,X3)))) = ld(ld(X3,mult(X1,X1)),ld(X2,X3)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.476.0.7','0.27.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.2.2','L')]).
% 21.77/22.21 cnf('0.476.1.0',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X1,mult(X3,X3)))) = ld(ld(X3,mult(X1,X1)),ld(X2,X3)) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.476.0.8']),
% 21.77/22.21 [weight('<189,449,57,[1,0,0,1]>')]).
% 21.77/22.21 cnf('0.476.2.0',plain,
% 21.77/22.21 ( ld(ld(X1,mult(X2,X2)),ld(X3,X1)) = ld(X2,ld(X3,ld(X2,mult(X1,X1)))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.476.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_403]).
% 21.77/22.21 cnf('0.490.0.0',plain,
% 21.77/22.21 ( ld(ld(X1,X2),ld(X3,ld(X2,ld(X2,ld(X1,X2))))) = ld(mult(ld(X1,X2),X2),ld(X3,i(X1))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.458.2.0','0.28.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2','L')]).
% 21.77/22.21 cnf('0.490.0.1',plain,
% 21.77/22.21 ( ld(ld(X1,X2),ld(X3,ld(X2,i(X1)))) = ld(mult(ld(X1,X2),X2),ld(X3,i(X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.490.0.0','0.28.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2.2','L')]).
% 21.77/22.21 cnf('0.490.0.2',plain,
% 21.77/22.21 ( ld(mult(mult(X1,X2),X3),ld(X2,X1)) = ld(mult(ld(X1,X2),X2),ld(X3,i(X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.490.0.1','0.335.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.490.0.3',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X2,ld(X3,X1)))) = ld(mult(ld(X1,X2),X2),ld(X3,i(X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.490.0.2','0.427.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.490.0.4',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X2,ld(X3,X1)))) = ld(ld(ld(X2,X1),X2),ld(X3,i(X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.490.0.3','0.35.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.1','L')]).
% 21.77/22.21 cnf('0.490.0.5',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X2,ld(X3,X1)))) = ld(ld(X1,mult(X2,X2)),ld(X3,i(X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.490.0.4','0.57.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.1','L')]).
% 21.77/22.21 cnf('0.490.0.6',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X2,ld(X3,X1)))) = ld(mult(X1,X3),ld(mult(X2,X2),X1)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.490.0.5','0.93.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('0.490.0.7',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X2,ld(X3,X1)))) = ld(mult(X1,X3),ld(X2,ld(X2,X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.490.0.6','0.56.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.2','L')]).
% 21.77/22.21 cnf('0.490.1.0',plain,
% 21.77/22.21 ( ld(X1,ld(X2,ld(X2,ld(X3,X1)))) = ld(mult(X1,X3),ld(X2,ld(X2,X1))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.490.0.7']),
% 21.77/22.21 [weight('<189,458,28,[1,0,0,6]>')]).
% 21.77/22.21 cnf('0.490.2.0',plain,
% 21.77/22.21 ( ld(mult(X1,X2),ld(X3,ld(X3,X1))) = ld(X1,ld(X3,ld(X3,ld(X2,X1)))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.490.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_415]).
% 21.77/22.21 cnf('0.505.0.0',plain,
% 21.77/22.21 ( ld(i(X1),ld(X2,ld(i(X1),mult(X3,X3)))) = ld(ld(X3,ld(X1,i(X1))),ld(X2,X3)) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.476.2.0','0.21.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1.2','L')]).
% 21.77/22.21 cnf('0.505.0.1',plain,
% 21.77/22.21 ( mult(X1,ld(X2,ld(i(X1),mult(X3,X3)))) = ld(ld(X3,ld(X1,i(X1))),ld(X2,X3)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.505.0.0','0.23.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.505.0.2',plain,
% 21.77/22.21 ( ld(ld(ld(i(X1),mult(X3,X3)),X2),X1) = ld(ld(X3,ld(X1,i(X1))),ld(X2,X3)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.505.0.1','0.36.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.505.0.3',plain,
% 21.77/22.21 ( ld(ld(mult(X1,mult(X3,X3)),X2),X1) = ld(ld(X3,ld(X1,i(X1))),ld(X2,X3)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.505.0.2','0.23.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1.1','L')]).
% 21.77/22.21 cnf('0.505.0.4',plain,
% 21.77/22.21 ( ld(ld(mult(X1,mult(X3,X3)),X2),X1) = mult(mult(mult(X1,X1),X3),ld(X2,X3)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.505.0.3','0.92.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('0.505.0.5',plain,
% 21.77/22.21 ( ld(ld(mult(X1,mult(X3,X3)),X2),X1) = ld(ld(X3,X2),mult(mult(X1,X1),X3)) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.505.0.4','0.36.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('0.505.0.6',plain,
% 21.77/22.21 ( ld(ld(mult(X1,mult(X3,X3)),X2),X1) = ld(ld(X3,X2),mult(X1,mult(X1,X3))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.505.0.5','0.60.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.2','L')]).
% 21.77/22.21 cnf('0.505.1.0',plain,
% 21.77/22.21 ( ld(ld(mult(X1,mult(X3,X3)),X2),X1) = ld(ld(X3,X2),mult(X1,mult(X1,X3))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.505.0.6']),
% 21.77/22.21 [weight('<189,476,21,[1,0,0,3]>')]).
% 21.77/22.21 cnf('0.505.2.0',plain,
% 21.77/22.21 ( ld(ld(mult(X1,mult(X2,X2)),X3),X1) = ld(ld(X2,X3),mult(X1,mult(X1,X2))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.505.1.0',theory(equality)]),
% 21.77/22.21 [u,rule_422]).
% 21.77/22.21 cnf('0.521.0.0',plain,
% 21.77/22.21 ( ld(ld(X1,X2),mult(X3,mult(X3,X1))) = ld(ld(mult(mult(X1,X1),X3),X2),X3) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.505.2.0','0.9.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1.1','L')]).
% 21.77/22.21 cnf('0.521.0.1',plain,
% 21.77/22.21 ( ld(ld(X1,X2),mult(X3,mult(X3,X1))) = ld(ld(mult(X1,mult(X1,X3)),X2),X3) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.521.0.0','0.60.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.1.1','L')]).
% 21.77/22.21 cnf('0.521.1.0',plain,
% 21.77/22.21 ( ld(ld(X1,X2),mult(X3,mult(X3,X1))) = ld(ld(mult(X1,mult(X1,X3)),X2),X3) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.521.0.1']),
% 21.77/22.21 [weight('<189,505,9,[1,0,0,2]>')]).
% 21.77/22.21 cnf('0.521.2.0',plain,
% 21.77/22.21 ( ld(ld(mult(X1,mult(X1,X2)),X3),X2) = ld(ld(X1,X3),mult(X2,mult(X2,X1))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.521.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_438]).
% 21.77/22.21 cnf('0.529.0.0',plain,
% 21.77/22.21 ( ld(ld(X1,ld(X2,ld(X2,X1))),mult(X3,mult(X3,X1))) = ld(ld(X1,ld(X2,ld(X2,ld(mult(X1,X3),X1)))),X3) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.521.2.0','0.490.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.529.0.1',plain,
% 21.77/22.21 ( ld(ld(X2,i(X2)),mult(X3,mult(X3,X1))) = ld(ld(X1,ld(X2,ld(X2,ld(mult(X1,X3),X1)))),X3) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.529.0.0','0.73.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('0.529.0.2',plain,
% 21.77/22.21 ( mult(mult(X2,X2),mult(X3,mult(X3,X1))) = ld(ld(X1,ld(X2,ld(X2,ld(mult(X1,X3),X1)))),X3) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.529.0.1','0.38.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.529.0.3',plain,
% 21.77/22.21 ( mult(X2,mult(X2,mult(X3,mult(X3,X1)))) = ld(ld(X1,ld(X2,ld(X2,ld(mult(X1,X3),X1)))),X3) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.529.0.2','0.60.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.529.0.4',plain,
% 21.77/22.21 ( mult(X2,mult(X2,mult(X3,mult(X3,X1)))) = ld(ld(X1,ld(X2,ld(X2,i(X3)))),X3) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.529.0.3','0.32.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.1.2.2.2','L')]).
% 21.77/22.21 cnf('0.529.0.5',plain,
% 21.77/22.21 ( mult(X2,mult(X2,mult(X3,mult(X3,X1)))) = mult(mult(mult(mult(X3,X2),X2),X1),X3) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.529.0.4','0.334.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('0.529.1.0',plain,
% 21.77/22.21 ( mult(X2,mult(X2,mult(X3,mult(X3,X1)))) = mult(mult(mult(mult(X3,X2),X2),X1),X3) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.529.0.5']),
% 21.77/22.21 [weight('<189,521,490,[1,0,0,1]>')]).
% 21.77/22.21 cnf('0.529.1.1',plain,
% 21.77/22.21 ( mult(X2,mult(X2,mult(X3,mult(X3,X1)))) = mult(X3,mult(X1,mult(X2,mult(X3,X2)))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.529.1.0','0.401.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('0.529.2.0',plain,
% 21.77/22.21 ( mult(X1,mult(X1,mult(X2,mult(X2,X3)))) = mult(X2,mult(X3,mult(X1,mult(X2,X1)))) ),
% 21.77/22.21 inference(activate,[status(thm)],['0.529.1.1']),
% 21.77/22.21 [equation_87]).
% 21.77/22.21 cnf('0.555.0.0',plain,
% 21.77/22.21 ( mult(X1,mult(X1,mult(X2,X3))) = ld(X2,mult(X1,mult(X2,mult(X2,mult(X1,X3))))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.8.2.0','0.148.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','L')]).
% 21.77/22.21 cnf('0.555.1.0',plain,
% 21.77/22.21 ( mult(X1,mult(X1,mult(X2,X3))) = ld(X2,mult(X1,mult(X2,mult(X2,mult(X1,X3))))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.555.0.0']),
% 21.77/22.21 [weight('<227,148,8,[0,0,0,2]>')]).
% 21.77/22.21 cnf('0.555.2.0',plain,
% 21.77/22.21 ( ld(X1,mult(X2,mult(X1,mult(X1,mult(X2,X3))))) = mult(X2,mult(X2,mult(X1,X3))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.555.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_468]).
% 21.77/22.21 cnf('0.657.0.0',plain,
% 21.77/22.21 ( mult(X1,mult(X2,mult(X3,X2))) = ld(X3,mult(X2,mult(X2,mult(X3,mult(X3,X1))))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.8.2.0','0.529.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','R')]).
% 21.77/22.21 cnf('0.657.1.0',plain,
% 21.77/22.21 ( mult(X1,mult(X2,mult(X3,X2))) = ld(X3,mult(X2,mult(X2,mult(X3,mult(X3,X1))))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.657.0.0']),
% 21.77/22.21 [weight('<227,529,8,[0,1,0,2]>')]).
% 21.77/22.21 cnf('0.657.2.0',plain,
% 21.77/22.21 ( ld(X1,mult(X2,mult(X2,mult(X1,mult(X1,X3))))) = mult(X3,mult(X2,mult(X1,X2))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.657.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_568]).
% 21.77/22.21 cnf('0.675.0.0',plain,
% 21.77/22.21 ( mult(X1,mult(X1,mult(X2,X3))) = ld(X2,mult(X1,mult(mult(X3,X1),mult(X2,X2)))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.555.2.0','0.392.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2','R')]).
% 21.77/22.21 cnf('0.675.1.0',plain,
% 21.77/22.21 ( mult(X1,mult(X1,mult(X2,X3))) = ld(X2,mult(X1,mult(mult(X3,X1),mult(X2,X2)))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.675.0.0']),
% 21.77/22.21 [weight('<227,555,392,[1,0,1,4]>')]).
% 21.77/22.21 cnf('0.675.2.0',plain,
% 21.77/22.21 ( ld(X1,mult(X2,mult(mult(X3,X2),mult(X1,X1)))) = mult(X2,mult(X2,mult(X1,X3))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.675.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_586]).
% 21.77/22.21 cnf('0.1822.0.0',plain,
% 21.77/22.21 ( mult(mult(X1,X1),mult(mult(X1,X1),mult(X2,X3))) = ld(X2,mult(mult(X1,X1),mult(mult(X2,X2),mult(X1,mult(X3,X1))))) ),
% 21.77/22.21 inference(cp,[status(thm)],['0.675.2.0','0.390.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2.2','R')]).
% 21.77/22.21 cnf('0.1822.0.1',plain,
% 21.77/22.21 ( mult(X1,mult(X1,mult(X1,mult(X1,mult(X2,X3))))) = ld(X2,mult(mult(X1,X1),mult(mult(X2,X2),mult(X1,mult(X3,X1))))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.1822.0.0','0.231.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('0.1822.0.2',plain,
% 21.77/22.21 ( mult(X1,mult(X1,mult(X1,mult(X1,mult(X2,X3))))) = ld(X2,mult(X1,mult(X1,mult(mult(X2,X2),mult(X1,mult(X3,X1)))))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.1822.0.1','0.60.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.2','L')]).
% 21.77/22.21 cnf('0.1822.0.3',plain,
% 21.77/22.21 ( mult(X1,mult(X1,mult(X1,mult(X1,mult(X2,X3))))) = ld(X2,mult(X1,mult(X1,mult(X2,mult(X2,mult(X1,mult(X3,X1))))))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.1822.0.2','0.60.2.0',theory(equality)]),
% 21.77/22.21 [pos('R.2.2.2','L')]).
% 21.77/22.21 cnf('0.1822.0.4',plain,
% 21.77/22.21 ( mult(X1,mult(X1,mult(X1,mult(X1,mult(X2,X3))))) = mult(mult(X1,mult(X3,X1)),mult(X1,mult(X2,X1))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['0.1822.0.3','0.657.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('0.1822.1.0',plain,
% 21.77/22.21 ( mult(X1,mult(X1,mult(X1,mult(X1,mult(X2,X3))))) = mult(mult(X1,mult(X3,X1)),mult(X1,mult(X2,X1))) ),
% 21.77/22.21 inference(weigh,[status(thm)],['0.1822.0.4']),
% 21.77/22.21 [weight('<275,675,390,[1,0,1,4]>')]).
% 21.77/22.21 cnf('0.1822.2.0',plain,
% 21.77/22.21 ( mult(mult(X1,mult(X2,X1)),mult(X1,mult(X3,X1))) = mult(X1,mult(X1,mult(X1,mult(X1,mult(X3,X2))))) ),
% 21.77/22.21 inference(orient,[status(thm)],['0.1822.1.0',theory(equality)]),
% 21.77/22.21 [x,rule_1533]).
% 21.77/22.21 cnf('1.0.0.0',conjecture,
% 21.77/22.21 ( mult(mult(mult(a,a),b),mult(c,mult(a,a))) = mult(mult(a,a),mult(mult(b,c),mult(a,a))) ),
% 21.77/22.21 file('/tmp/WALDMEISTER_8932_n024',conjecture_1)).
% 21.77/22.21 cnf('1.0.0.1',plain,
% 21.77/22.21 ( mult(mult(mult(a,a),b),mult(c,mult(a,a))) = mult(a,mult(a,mult(a,mult(a,mult(b,c))))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['1.0.0.0','0.10.2.0',theory(equality)]),
% 21.77/22.21 [pos('R','L')]).
% 21.77/22.21 cnf('1.0.0.2',plain,
% 21.77/22.21 ( mult(mult(mult(a,a),b),mult(a,mult(c,a))) = mult(a,mult(a,mult(a,mult(a,mult(b,c))))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['1.0.0.1','0.59.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.2','L')]).
% 21.77/22.21 cnf('1.0.0.3',plain,
% 21.77/22.21 ( mult(mult(a,mult(a,b)),mult(a,mult(c,a))) = mult(a,mult(a,mult(a,mult(a,mult(b,c))))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['1.0.0.2','0.60.2.0',theory(equality)]),
% 21.77/22.21 [pos('L.1','L')]).
% 21.77/22.21 cnf('1.0.0.4',plain,
% 21.77/22.21 ( mult(mult(a,mult(c,a)),mult(a,mult(b,a))) = mult(a,mult(a,mult(a,mult(a,mult(b,c))))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['1.0.0.3','0.395.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('1.0.0.5',plain,
% 21.77/22.21 ( mult(a,mult(a,mult(a,mult(a,mult(b,c))))) = mult(a,mult(a,mult(a,mult(a,mult(b,c))))) ),
% 21.77/22.21 inference(reduction,[status(thm)],['1.0.0.4','0.1822.2.0',theory(equality)]),
% 21.77/22.21 [pos('L','L')]).
% 21.77/22.21 cnf('1.0.0.6',plain,
% 21.77/22.21 ( $true ),
% 21.77/22.21 inference(trivial,[status(thm)],['1.0.0.5',theory(equality)]),
% 21.77/22.21 [conjecture_1]).
% 21.77/22.21
% 21.77/22.21 Proved Goals:
% 21.77/22.21 No. 1: mult(mult(mult(a,a),b),mult(c,mult(a,a))) ?= mult(mult(a,a),mult(mult(b,c),mult(a,a))) joined, current: mult(a,mult(a,mult(a,mult(a,mult(b,c))))) = mult(a,mult(a,mult(a,mult(a,mult(b,c)))))
% 21.77/22.21 1 goal was specified, which was proved.
% 21.77/22.21 % SZS output end CNFRefutation
% 21.77/22.21 #END OF PROOF
% 21.77/22.21
% 21.77/22.21 Problem WALDMEISTER_8932_n024
% 21.77/22.21 CPs.gen 2754607
% 21.77/22.21 CPs.reexp 0
% 21.77/22.21 Select 93981
% 21.77/22.21 R 1533
% 21.77/22.21 E 289
% 21.77/22.21 vsize 9.8M
% 21.77/22.21 rss 5.2M
% 21.77/22.21 process.time 21.236s
% 21.77/22.21 wallclock.time 21.238s
% 21.77/22.21 status S
% 21.77/22.21
% 21.77/22.21
% 21.77/22.21 Waldmeister states: Goal proved.
% 21.77/22.21 % SZS status Unsatisfiable
%------------------------------------------------------------------------------