TSTP Solution File: GRP701-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP701-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n005.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 12:28:06 EDT 2022
% Result : Unsatisfiable 0.98s 1.34s
% Output : CNFRefutation 0.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP701-1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15 % Command : woody %s
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jun 13 19:27:39 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.65/1.00 ********************************************************************************
% 0.65/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.65/1.00 * |/ | \/ | *
% 0.65/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.65/1.00 * A. Jaeger and B. Loechner | | *
% 0.65/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.65/1.00 ********************************************************************************
% 0.65/1.00
% 0.65/1.00
% 0.65/1.00 Goals:
% 0.65/1.00 ------
% 0.65/1.00
% 0.65/1.00 ( 1) mult(a,i(mult(b,a))) ?=? i(b)
% 0.65/1.00
% 0.65/1.00 Detected structure: Loop
% 0.65/1.00 ********************************************************************************
% 0.65/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.65/1.00 ********************************************************************************
% 0.65/1.00
% 0.98/1.34 joined goal: 1 mult(a,i(mult(b,a))) ?= i(b) to i(b)
% 0.98/1.34 goal joined
% 0.98/1.34 % SZS status Unsatisfiable
% 0.98/1.34 #START OF PROOF
% 0.98/1.34 % SZS output start CNFRefutation
% 0.98/1.34 cnf('0.1.0.0',axiom,
% 0.98/1.34 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.98/1.34 file('/tmp/WALDMEISTER_865_n005')).
% 0.98/1.34 cnf('0.1.1.0',plain,
% 0.98/1.34 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.98/1.34 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.1.2.0',plain,
% 0.98/1.34 ( mult(X1,ld(X1,X2)) = X2 ),
% 0.98/1.34 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_1]).
% 0.98/1.34 cnf('0.2.0.0',axiom,
% 0.98/1.34 ( X1 = mult(X1,unit) ),
% 0.98/1.34 file('/tmp/WALDMEISTER_865_n005')).
% 0.98/1.34 cnf('0.2.1.0',plain,
% 0.98/1.34 ( X1 = mult(X1,unit) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.98/1.34 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.2.2.0',plain,
% 0.98/1.34 ( mult(X1,unit) = X1 ),
% 0.98/1.34 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_2]).
% 0.98/1.34 cnf('0.3.0.0',axiom,
% 0.98/1.34 ( X1 = mult(unit,X1) ),
% 0.98/1.34 file('/tmp/WALDMEISTER_865_n005')).
% 0.98/1.34 cnf('0.3.1.0',plain,
% 0.98/1.34 ( X1 = mult(unit,X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.98/1.34 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.98/1.34 cnf('0.3.2.0',plain,
% 0.98/1.34 ( mult(unit,X1) = X1 ),
% 0.98/1.34 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_3]).
% 0.98/1.34 cnf('0.4.0.0',axiom,
% 0.98/1.34 ( X1 = mult(rd(X1,X2),X2) ),
% 0.98/1.34 file('/tmp/WALDMEISTER_865_n005')).
% 0.98/1.34 cnf('0.4.1.0',plain,
% 0.98/1.34 ( X1 = mult(rd(X1,X2),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.98/1.34 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.98/1.34 cnf('0.4.2.0',plain,
% 0.98/1.34 ( mult(rd(X1,X2),X2) = X1 ),
% 0.98/1.34 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_4]).
% 0.98/1.34 cnf('0.5.0.0',axiom,
% 0.98/1.34 ( X1 = rd(mult(X1,X2),X2) ),
% 0.98/1.34 file('/tmp/WALDMEISTER_865_n005')).
% 0.98/1.34 cnf('0.5.1.0',plain,
% 0.98/1.34 ( X1 = rd(mult(X1,X2),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.98/1.34 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.98/1.34 cnf('0.5.2.0',plain,
% 0.98/1.34 ( rd(mult(X1,X2),X2) = X1 ),
% 0.98/1.34 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_5]).
% 0.98/1.34 cnf('0.6.0.0',axiom,
% 0.98/1.34 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.98/1.34 file('/tmp/WALDMEISTER_865_n005')).
% 0.98/1.34 cnf('0.6.1.0',plain,
% 0.98/1.34 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.98/1.34 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.98/1.34 cnf('0.6.2.0',plain,
% 0.98/1.34 ( ld(X1,mult(X1,X2)) = X2 ),
% 0.98/1.34 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_6]).
% 0.98/1.34 cnf('0.7.0.0',axiom,
% 0.98/1.34 ( mult(X1,mult(mult(mult(X2,X1),X1),X3)) = mult(mult(mult(X1,X2),X1),mult(X1,X3)) ),
% 0.98/1.34 file('/tmp/WALDMEISTER_865_n005')).
% 0.98/1.34 cnf('0.7.1.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(mult(X2,X1),X1),X3)) = mult(mult(mult(X1,X2),X1),mult(X1,X3)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.98/1.34 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.98/1.34 cnf('0.7.2.0',plain,
% 0.98/1.34 ( mult(mult(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(mult(mult(X2,X1),X1),X3)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_7]).
% 0.98/1.34 cnf('0.8.0.0',axiom,
% 0.98/1.34 ( mult(X1,i(X1)) = unit ),
% 0.98/1.34 file('/tmp/WALDMEISTER_865_n005')).
% 0.98/1.34 cnf('0.8.1.0',plain,
% 0.98/1.34 ( mult(X1,i(X1)) = unit ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.98/1.34 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.98/1.34 cnf('0.8.2.0',plain,
% 0.98/1.34 ( mult(X1,i(X1)) = unit ),
% 0.98/1.34 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_8]).
% 0.98/1.34 cnf('0.9.0.0',axiom,
% 0.98/1.34 ( mult(mult(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,mult(X2,mult(X2,X3))),X2) ),
% 0.98/1.34 file('/tmp/WALDMEISTER_865_n005')).
% 0.98/1.34 cnf('0.9.1.0',plain,
% 0.98/1.34 ( mult(mult(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,mult(X2,mult(X2,X3))),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.98/1.34 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.98/1.34 cnf('0.9.2.0',plain,
% 0.98/1.34 ( mult(mult(X1,mult(X2,mult(X2,X3))),X2) = mult(mult(X1,X2),mult(X2,mult(X3,X2))) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_9]).
% 0.98/1.34 cnf('0.10.0.0',axiom,
% 0.98/1.34 ( mult(i(X1),X1) = unit ),
% 0.98/1.34 file('/tmp/WALDMEISTER_865_n005')).
% 0.98/1.34 cnf('0.10.1.0',plain,
% 0.98/1.34 ( mult(i(X1),X1) = unit ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.98/1.34 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.98/1.34 cnf('0.10.2.0',plain,
% 0.98/1.34 ( mult(i(X1),X1) = unit ),
% 0.98/1.34 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_10]).
% 0.98/1.34 cnf('0.14.0.0',plain,
% 0.98/1.34 ( unit = rd(X1,X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.14.1.0',plain,
% 0.98/1.34 ( unit = rd(X1,X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.98/1.34 [weight('<19,5,3,[1,0,0,1]>')]).
% 0.98/1.34 cnf('0.14.2.0',plain,
% 0.98/1.34 ( rd(X1,X1) = unit ),
% 0.98/1.34 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_14]).
% 0.98/1.34 cnf('0.16.0.0',plain,
% 0.98/1.34 ( i(X1) = ld(X1,unit) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.6.2.0','0.8.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.16.1.0',plain,
% 0.98/1.34 ( i(X1) = ld(X1,unit) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.98/1.34 [weight('<23,8,6,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.16.2.0',plain,
% 0.98/1.34 ( ld(X1,unit) = i(X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_16]).
% 0.98/1.34 cnf('0.17.0.0',plain,
% 0.98/1.34 ( i(X1) = rd(unit,X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.10.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.17.1.0',plain,
% 0.98/1.34 ( i(X1) = rd(unit,X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.98/1.34 [weight('<23,10,5,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.17.2.0',plain,
% 0.98/1.34 ( rd(unit,X1) = i(X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_17]).
% 0.98/1.34 cnf('0.18.0.0',plain,
% 0.98/1.34 ( X1 = rd(unit,i(X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.18.1.0',plain,
% 0.98/1.34 ( X1 = rd(unit,i(X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.98/1.34 [weight('<29,8,5,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.18.1.1',plain,
% 0.98/1.34 ( X1 = i(i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.18.1.0','0.17.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.18.2.0',plain,
% 0.98/1.34 ( i(i(X1)) = X1 ),
% 0.98/1.34 inference(orient,[status(thm)],['0.18.1.1',theory(equality)]),
% 0.98/1.34 [x,rule_18]).
% 0.98/1.34 cnf('0.19.0.0',plain,
% 0.98/1.34 ( X1 = rd(X2,ld(X1,X2)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.19.1.0',plain,
% 0.98/1.34 ( X1 = rd(X2,ld(X1,X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.98/1.34 [weight('<41,5,1,[1,0,0,1]>')]).
% 0.98/1.34 cnf('0.19.2.0',plain,
% 0.98/1.34 ( rd(X1,ld(X2,X1)) = X2 ),
% 0.98/1.34 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_19]).
% 0.98/1.34 cnf('0.20.0.0',plain,
% 0.98/1.34 ( X1 = ld(rd(X2,X1),X2) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.20.1.0',plain,
% 0.98/1.34 ( X1 = ld(rd(X2,X1),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.98/1.34 [weight('<41,6,4,[1,0,0,2]>')]).
% 0.98/1.34 cnf('0.20.2.0',plain,
% 0.98/1.34 ( ld(rd(X1,X2),X1) = X2 ),
% 0.98/1.34 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_20]).
% 0.98/1.34 cnf('0.21.0.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(mult(unit,X1),X1),X2)) = mult(mult(X1,X1),mult(X1,X2)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1.1','L')]).
% 0.98/1.34 cnf('0.21.0.1',plain,
% 0.98/1.34 ( mult(X1,mult(mult(X1,X1),X2)) = mult(mult(X1,X1),mult(X1,X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.21.0.0','0.3.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2.1.1','L')]).
% 0.98/1.34 cnf('0.21.1.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(X1,X1),X2)) = mult(mult(X1,X1),mult(X1,X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.98/1.34 [weight('<119,7,2,[1,0,0,2]>')]).
% 0.98/1.34 cnf('0.21.2.0',plain,
% 0.98/1.34 ( mult(mult(X1,X1),mult(X1,X2)) = mult(X1,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_21]).
% 0.98/1.34 cnf('0.22.0.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(X1,X1),i(X1))) = mult(mult(X1,X1),unit) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.21.2.0','0.8.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.22.0.1',plain,
% 0.98/1.34 ( mult(X1,mult(mult(X1,X1),i(X1))) = mult(X1,X1) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.22.0.0','0.2.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.22.1.0',plain,
% 0.98/1.34 ( mult(mult(X1,X1),i(X1)) = X1 ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.22.0.1']),
% 0.98/1.34 [weight('<55,21,8,[1,0,0,4]>')]).
% 0.98/1.34 cnf('0.22.2.0',plain,
% 0.98/1.34 ( mult(mult(X1,X1),i(X1)) = X1 ),
% 0.98/1.34 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_22]).
% 0.98/1.34 cnf('0.23.0.0',plain,
% 0.98/1.34 ( mult(X1,X1) = rd(X1,i(X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.22.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.23.1.0',plain,
% 0.98/1.34 ( mult(X1,X1) = rd(X1,i(X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.98/1.34 [weight('<39,22,5,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.23.2.0',plain,
% 0.98/1.34 ( rd(X1,i(X1)) = mult(X1,X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_23]).
% 0.98/1.34 cnf('0.25.0.0',plain,
% 0.98/1.34 ( mult(i(X1),i(X1)) = rd(i(X1),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.23.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.25.1.0',plain,
% 0.98/1.34 ( mult(i(X1),i(X1)) = rd(i(X1),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.98/1.34 [weight('<59,23,18,[1,0,0,2]>')]).
% 0.98/1.34 cnf('0.25.2.0',plain,
% 0.98/1.34 ( mult(i(X1),i(X1)) = rd(i(X1),X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_25]).
% 0.98/1.34 cnf('0.31.0.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(mult(X2,X1),X1),unit)) = mult(mult(mult(X1,X2),X1),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.31.0.1',plain,
% 0.98/1.34 ( mult(X1,mult(mult(X2,X1),X1)) = mult(mult(mult(X1,X2),X1),X1) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.31.0.0','0.2.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.31.1.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(X2,X1),X1)) = mult(mult(mult(X1,X2),X1),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.98/1.34 [weight('<119,7,2,[1,0,0,6]>')]).
% 0.98/1.34 cnf('0.31.2.0',plain,
% 0.98/1.34 ( mult(mult(mult(X1,X2),X1),X1) = mult(X1,mult(mult(X2,X1),X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_31]).
% 0.98/1.34 cnf('0.32.0.0',plain,
% 0.98/1.34 ( mult(mult(X1,X2),mult(X2,mult(unit,X2))) = mult(mult(X1,mult(X2,X2)),X2) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.9.2.0','0.2.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1.2.2','L')]).
% 0.98/1.34 cnf('0.32.0.1',plain,
% 0.98/1.34 ( mult(mult(X1,X2),mult(X2,X2)) = mult(mult(X1,mult(X2,X2)),X2) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.32.0.0','0.3.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2.2','L')]).
% 0.98/1.34 cnf('0.32.1.0',plain,
% 0.98/1.34 ( mult(mult(X1,X2),mult(X2,X2)) = mult(mult(X1,mult(X2,X2)),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.98/1.34 [weight('<119,9,2,[1,0,0,5]>')]).
% 0.98/1.34 cnf('0.32.2.0',plain,
% 0.98/1.34 ( mult(mult(X1,mult(X2,X2)),X2) = mult(mult(X1,X2),mult(X2,X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_32]).
% 0.98/1.34 cnf('0.33.0.0',plain,
% 0.98/1.34 ( mult(mult(unit,X1),mult(X1,mult(X2,X1))) = mult(mult(X1,mult(X1,X2)),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.33.0.1',plain,
% 0.98/1.34 ( mult(X1,mult(X1,mult(X2,X1))) = mult(mult(X1,mult(X1,X2)),X1) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.33.0.0','0.3.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.33.1.0',plain,
% 0.98/1.34 ( mult(X1,mult(X1,mult(X2,X1))) = mult(mult(X1,mult(X1,X2)),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.98/1.34 [weight('<119,9,3,[1,0,0,1]>')]).
% 0.98/1.34 cnf('0.33.2.0',plain,
% 0.98/1.34 ( mult(mult(X1,mult(X1,X2)),X1) = mult(X1,mult(X1,mult(X2,X1))) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_33]).
% 0.98/1.34 cnf('0.35.0.0',plain,
% 0.98/1.34 ( mult(X1,mult(X1,mult(mult(X1,X2),X1))) = mult(mult(X1,X1),mult(X1,mult(X2,X1))) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.33.2.0','0.9.2.0',theory(equality)]),
% 0.98/1.34 [pos('L','L')]).
% 0.98/1.34 cnf('0.35.0.1',plain,
% 0.98/1.34 ( mult(X1,mult(X1,mult(mult(X1,X2),X1))) = mult(X1,mult(mult(X1,X1),mult(X2,X1))) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.35.0.0','0.21.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.35.1.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(X1,X2),X1)) = mult(mult(X1,X1),mult(X2,X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.35.0.1']),
% 0.98/1.34 [weight('<119,33,9,[1,0,0,0]>')]).
% 0.98/1.34 cnf('0.35.2.0',plain,
% 0.98/1.34 ( mult(mult(X1,X1),mult(X2,X1)) = mult(X1,mult(mult(X1,X2),X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_35]).
% 0.98/1.34 cnf('0.36.0.0',plain,
% 0.98/1.34 ( mult(mult(i(mult(X1,X1)),X1),mult(X1,X1)) = mult(unit,X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.32.2.0','0.10.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.36.0.1',plain,
% 0.98/1.34 ( mult(mult(i(mult(X1,X1)),X1),mult(X1,X1)) = X1 ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.36.0.0','0.3.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.36.1.0',plain,
% 0.98/1.34 ( mult(mult(i(mult(X1,X1)),X1),mult(X1,X1)) = X1 ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.36.0.1']),
% 0.98/1.34 [weight('<131,32,10,[1,0,0,1]>')]).
% 0.98/1.34 cnf('0.36.2.0',plain,
% 0.98/1.34 ( mult(mult(i(mult(X1,X1)),X1),mult(X1,X1)) = X1 ),
% 0.98/1.34 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_36]).
% 0.98/1.34 cnf('0.37.0.0',plain,
% 0.98/1.34 ( mult(i(mult(X1,X1)),X1) = rd(X1,mult(X1,X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.36.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.37.1.0',plain,
% 0.98/1.34 ( mult(i(mult(X1,X1)),X1) = rd(X1,mult(X1,X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.98/1.34 [weight('<83,36,5,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.37.2.0',plain,
% 0.98/1.34 ( mult(i(mult(X1,X1)),X1) = rd(X1,mult(X1,X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_37]).
% 0.98/1.34 cnf('0.38.0.0',plain,
% 0.98/1.34 ( i(mult(X1,X1)) = rd(rd(X1,mult(X1,X1)),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.37.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.38.1.0',plain,
% 0.98/1.34 ( i(mult(X1,X1)) = rd(rd(X1,mult(X1,X1)),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.38.0.0']),
% 0.98/1.34 [weight('<95,37,5,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.38.2.0',plain,
% 0.98/1.34 ( rd(rd(X1,mult(X1,X1)),X1) = i(mult(X1,X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_38]).
% 0.98/1.34 cnf('0.41.0.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(X1,X1),ld(X1,X2))) = mult(mult(X1,X1),X2) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.21.2.0','0.1.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.41.1.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(X1,X1),ld(X1,X2))) = mult(mult(X1,X1),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.41.0.0']),
% 0.98/1.34 [weight('<149,21,1,[1,0,0,4]>')]).
% 0.98/1.34 cnf('0.41.2.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(X1,X1),ld(X1,X2))) = mult(mult(X1,X1),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_41]).
% 0.98/1.34 cnf('0.42.0.0',plain,
% 0.98/1.34 ( mult(mult(X1,X1),ld(X1,X2)) = ld(X1,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.6.2.0','0.41.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.42.1.0',plain,
% 0.98/1.34 ( mult(mult(X1,X1),ld(X1,X2)) = ld(X1,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.98/1.34 [weight('<119,41,6,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.42.2.0',plain,
% 0.98/1.34 ( mult(mult(X1,X1),ld(X1,X2)) = ld(X1,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_42]).
% 0.98/1.34 cnf('0.43.0.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(ld(X1,X2),X1),X1)) = mult(mult(X2,X1),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.31.2.0','0.1.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1.1','L')]).
% 0.98/1.34 cnf('0.43.1.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(ld(X1,X2),X1),X1)) = mult(mult(X2,X1),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.98/1.34 [weight('<149,31,1,[1,0,0,2]>')]).
% 0.98/1.34 cnf('0.43.2.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(ld(X1,X2),X1),X1)) = mult(mult(X2,X1),X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_43]).
% 0.98/1.34 cnf('0.44.0.0',plain,
% 0.98/1.34 ( mult(mult(ld(X1,X2),X1),X1) = ld(X1,mult(mult(X2,X1),X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.6.2.0','0.43.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.44.1.0',plain,
% 0.98/1.34 ( mult(mult(ld(X1,X2),X1),X1) = ld(X1,mult(mult(X2,X1),X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.98/1.34 [weight('<119,43,6,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.44.2.0',plain,
% 0.98/1.34 ( mult(mult(ld(X1,X2),X1),X1) = ld(X1,mult(mult(X2,X1),X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_44]).
% 0.98/1.34 cnf('0.45.0.0',plain,
% 0.98/1.34 ( mult(mult(X1,X2),X1) = rd(mult(X1,mult(mult(X2,X1),X1)),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.31.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.45.1.0',plain,
% 0.98/1.34 ( mult(mult(X1,X2),X1) = rd(mult(X1,mult(mult(X2,X1),X1)),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.98/1.34 [weight('<149,31,5,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.45.2.0',plain,
% 0.98/1.34 ( rd(mult(X1,mult(mult(X2,X1),X1)),X1) = mult(mult(X1,X2),X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_45]).
% 0.98/1.34 cnf('0.46.0.0',plain,
% 0.98/1.34 ( mult(mult(i(X1),mult(X1,X1)),i(X1)) = rd(mult(i(X1),mult(X1,i(X1))),i(X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.45.2.0','0.22.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1.2.1','L')]).
% 0.98/1.34 cnf('0.46.0.1',plain,
% 0.98/1.34 ( mult(mult(i(X1),mult(X1,X1)),i(X1)) = rd(mult(i(X1),unit),i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.46.0.0','0.8.2.0',theory(equality)]),
% 0.98/1.34 [pos('R.1.2','L')]).
% 0.98/1.34 cnf('0.46.0.2',plain,
% 0.98/1.34 ( mult(mult(i(X1),mult(X1,X1)),i(X1)) = rd(i(X1),i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.46.0.1','0.2.2.0',theory(equality)]),
% 0.98/1.34 [pos('R.1','L')]).
% 0.98/1.34 cnf('0.46.0.3',plain,
% 0.98/1.34 ( mult(mult(i(X1),mult(X1,X1)),i(X1)) = unit ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.46.0.2','0.14.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.46.1.0',plain,
% 0.98/1.34 ( mult(mult(i(X1),mult(X1,X1)),i(X1)) = unit ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.46.0.3']),
% 0.98/1.34 [weight('<109,45,22,[1,0,0,4]>')]).
% 0.98/1.34 cnf('0.46.2.0',plain,
% 0.98/1.34 ( mult(mult(i(X1),mult(X1,X1)),i(X1)) = unit ),
% 0.98/1.34 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_46]).
% 0.98/1.34 cnf('0.47.0.0',plain,
% 0.98/1.34 ( mult(i(X1),mult(X1,X1)) = rd(unit,i(X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.46.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.47.0.1',plain,
% 0.98/1.34 ( mult(i(X1),mult(X1,X1)) = i(i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.47.0.0','0.17.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.47.0.2',plain,
% 0.98/1.34 ( mult(i(X1),mult(X1,X1)) = X1 ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.47.0.1','0.18.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.47.1.0',plain,
% 0.98/1.34 ( mult(i(X1),mult(X1,X1)) = X1 ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.47.0.2']),
% 0.98/1.34 [weight('<55,46,5,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.47.2.0',plain,
% 0.98/1.34 ( mult(i(X1),mult(X1,X1)) = X1 ),
% 0.98/1.34 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_47]).
% 0.98/1.34 cnf('0.48.0.0',plain,
% 0.98/1.34 ( mult(X1,X1) = ld(i(X1),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.6.2.0','0.47.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.48.1.0',plain,
% 0.98/1.34 ( mult(X1,X1) = ld(i(X1),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.48.0.0']),
% 0.98/1.34 [weight('<39,47,6,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.48.2.0',plain,
% 0.98/1.34 ( ld(i(X1),X1) = mult(X1,X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_48]).
% 0.98/1.34 cnf('0.49.0.0',plain,
% 0.98/1.34 ( mult(i(X1),i(X1)) = ld(X1,i(X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.48.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.49.0.1',plain,
% 0.98/1.34 ( rd(i(X1),X1) = ld(X1,i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.49.0.0','0.25.2.0',theory(equality)]),
% 0.98/1.34 [pos('L','L')]).
% 0.98/1.34 cnf('0.49.1.0',plain,
% 0.98/1.34 ( rd(i(X1),X1) = ld(X1,i(X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.49.0.1']),
% 0.98/1.34 [weight('<44,48,18,[1,0,0,1]>')]).
% 0.98/1.34 cnf('0.49.2.0',plain,
% 0.98/1.34 ( rd(i(X1),X1) = ld(X1,i(X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_49]).
% 0.98/1.34 cnf('0.50.0.0',plain,
% 0.98/1.34 ( i(X1) = rd(X1,mult(X1,X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.47.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.50.1.0',plain,
% 0.98/1.34 ( i(X1) = rd(X1,mult(X1,X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.98/1.34 [weight('<47,47,5,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.50.2.0',plain,
% 0.98/1.34 ( rd(X1,mult(X1,X1)) = i(X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_50]).
% 0.98/1.34 cnf('0.51.0.0',plain,
% 0.98/1.34 ( rd(rd(X1,mult(X1,X1)),X1) = i(mult(X1,X1)) ),
% 0.98/1.34 inference(interreduction_right,[status(thm)],['0.38.2.0'])).
% 0.98/1.34 cnf('0.51.0.1',plain,
% 0.98/1.34 ( rd(i(X1),X1) = i(mult(X1,X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.51.0.0','0.50.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.51.0.2',plain,
% 0.98/1.34 ( ld(X1,i(X1)) = i(mult(X1,X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.51.0.1','0.49.2.0',theory(equality)]),
% 0.98/1.34 [pos('L','L')]).
% 0.98/1.34 cnf('0.51.1.0',plain,
% 0.98/1.34 ( ld(X1,i(X1)) = i(mult(X1,X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.51.0.2']),
% 0.98/1.34 [weight('<44,38,50,[0,0,0,0]>')]).
% 0.98/1.34 cnf('0.51.2.0',plain,
% 0.98/1.34 ( i(mult(X1,X1)) = ld(X1,i(X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_51]).
% 0.98/1.34 cnf('0.52.0.0',plain,
% 0.98/1.34 ( mult(X1,X1) = i(ld(X1,i(X1))) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.18.2.0','0.51.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.52.1.0',plain,
% 0.98/1.34 ( mult(X1,X1) = i(ld(X1,i(X1))) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.52.0.0']),
% 0.98/1.34 [weight('<53,51,18,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.52.2.0',plain,
% 0.98/1.34 ( i(ld(X1,i(X1))) = mult(X1,X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_52]).
% 0.98/1.34 cnf('0.53.0.0',plain,
% 0.98/1.34 ( mult(i(X1),i(X1)) = rd(i(X1),X1) ),
% 0.98/1.34 inference(interreduction_right,[status(thm)],['0.25.2.0'])).
% 0.98/1.34 cnf('0.53.0.1',plain,
% 0.98/1.34 ( mult(i(X1),i(X1)) = ld(X1,i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.53.0.0','0.49.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.53.1.0',plain,
% 0.98/1.34 ( mult(i(X1),i(X1)) = ld(X1,i(X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.53.0.1']),
% 0.98/1.34 [weight('<59,25,49,[0,0,0,0]>')]).
% 0.98/1.34 cnf('0.53.2.0',plain,
% 0.98/1.34 ( mult(i(X1),i(X1)) = ld(X1,i(X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_53]).
% 0.98/1.34 cnf('0.60.0.0',plain,
% 0.98/1.34 ( mult(mult(X1,rd(X2,X1)),X1) = rd(mult(X1,mult(X2,X1)),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.45.2.0','0.4.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1.2.1','L')]).
% 0.98/1.34 cnf('0.60.1.0',plain,
% 0.98/1.34 ( mult(mult(X1,rd(X2,X1)),X1) = rd(mult(X1,mult(X2,X1)),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.60.0.0']),
% 0.98/1.34 [weight('<119,45,4,[1,0,0,4]>')]).
% 0.98/1.34 cnf('0.60.2.0',plain,
% 0.98/1.34 ( mult(mult(X1,rd(X2,X1)),X1) = rd(mult(X1,mult(X2,X1)),X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_60]).
% 0.98/1.34 cnf('0.63.0.0',plain,
% 0.98/1.34 ( mult(X1,mult(X2,X2)) = rd(mult(mult(X1,X2),mult(X2,X2)),X2) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.32.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.63.1.0',plain,
% 0.98/1.34 ( mult(X1,mult(X2,X2)) = rd(mult(mult(X1,X2),mult(X2,X2)),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.63.0.0']),
% 0.98/1.34 [weight('<149,32,5,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.63.2.0',plain,
% 0.98/1.34 ( rd(mult(mult(X1,X2),mult(X2,X2)),X2) = mult(X1,mult(X2,X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_63]).
% 0.98/1.34 cnf('0.64.0.0',plain,
% 0.98/1.34 ( mult(rd(X1,X2),mult(X2,X2)) = rd(mult(X1,mult(X2,X2)),X2) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.63.2.0','0.4.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1.1','L')]).
% 0.98/1.34 cnf('0.64.1.0',plain,
% 0.98/1.34 ( mult(rd(X1,X2),mult(X2,X2)) = rd(mult(X1,mult(X2,X2)),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.64.0.0']),
% 0.98/1.34 [weight('<119,63,4,[1,0,0,2]>')]).
% 0.98/1.34 cnf('0.64.2.0',plain,
% 0.98/1.34 ( mult(rd(X1,X2),mult(X2,X2)) = rd(mult(X1,mult(X2,X2)),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_64]).
% 0.98/1.34 cnf('0.65.0.0',plain,
% 0.98/1.34 ( mult(mult(X1,X2),mult(X1,X1)) = rd(mult(X1,mult(mult(mult(X2,X1),X1),X1)),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.63.2.0','0.7.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.65.0.1',plain,
% 0.98/1.34 ( mult(mult(X1,X2),mult(X1,X1)) = mult(mult(X1,mult(X2,X1)),X1) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.65.0.0','0.45.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.65.1.0',plain,
% 0.98/1.34 ( mult(mult(X1,X2),mult(X1,X1)) = mult(mult(X1,mult(X2,X1)),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.65.0.1']),
% 0.98/1.34 [weight('<119,63,7,[1,0,0,1]>')]).
% 0.98/1.34 cnf('0.65.2.0',plain,
% 0.98/1.34 ( mult(mult(X1,mult(X2,X1)),X1) = mult(mult(X1,X2),mult(X1,X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_65]).
% 0.98/1.34 cnf('0.66.0.0',plain,
% 0.98/1.34 ( mult(X1,mult(X1,mult(ld(X1,X2),X1))) = mult(mult(X1,X2),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.33.2.0','0.1.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1.2','L')]).
% 0.98/1.34 cnf('0.66.1.0',plain,
% 0.98/1.34 ( mult(X1,mult(X1,mult(ld(X1,X2),X1))) = mult(mult(X1,X2),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.66.0.0']),
% 0.98/1.34 [weight('<149,33,1,[1,0,0,3]>')]).
% 0.98/1.34 cnf('0.66.2.0',plain,
% 0.98/1.34 ( mult(X1,mult(X1,mult(ld(X1,X2),X1))) = mult(mult(X1,X2),X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_66]).
% 0.98/1.34 cnf('0.67.0.0',plain,
% 0.98/1.34 ( mult(X1,mult(ld(X1,X2),X1)) = ld(X1,mult(mult(X1,X2),X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.6.2.0','0.66.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.67.1.0',plain,
% 0.98/1.34 ( mult(X1,mult(ld(X1,X2),X1)) = ld(X1,mult(mult(X1,X2),X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.67.0.0']),
% 0.98/1.34 [weight('<119,66,6,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.67.2.0',plain,
% 0.98/1.34 ( mult(X1,mult(ld(X1,X2),X1)) = ld(X1,mult(mult(X1,X2),X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_67]).
% 0.98/1.34 cnf('0.68.0.0',plain,
% 0.98/1.34 ( mult(X1,mult(X1,X2)) = rd(mult(X1,mult(X1,mult(X2,X1))),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.33.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.68.1.0',plain,
% 0.98/1.34 ( mult(X1,mult(X1,X2)) = rd(mult(X1,mult(X1,mult(X2,X1))),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.68.0.0']),
% 0.98/1.34 [weight('<149,33,5,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.68.2.0',plain,
% 0.98/1.34 ( rd(mult(X1,mult(X1,mult(X2,X1))),X1) = mult(X1,mult(X1,X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_68]).
% 0.98/1.34 cnf('0.69.0.0',plain,
% 0.98/1.34 ( mult(X1,mult(X1,rd(X2,X1))) = rd(mult(X1,mult(X1,X2)),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.68.2.0','0.4.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1.2.2','L')]).
% 0.98/1.34 cnf('0.69.1.0',plain,
% 0.98/1.34 ( mult(X1,mult(X1,rd(X2,X1))) = rd(mult(X1,mult(X1,X2)),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.69.0.0']),
% 0.98/1.34 [weight('<119,68,4,[1,0,0,5]>')]).
% 0.98/1.34 cnf('0.69.2.0',plain,
% 0.98/1.34 ( mult(X1,mult(X1,rd(X2,X1))) = rd(mult(X1,mult(X1,X2)),X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_69]).
% 0.98/1.34 cnf('0.70.0.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(X1,rd(X2,X1)),X1)) = mult(mult(X1,X1),X2) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.35.2.0','0.4.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.70.1.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(X1,rd(X2,X1)),X1)) = mult(mult(X1,X1),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.70.0.0']),
% 0.98/1.34 [weight('<149,35,4,[1,0,0,4]>')]).
% 0.98/1.34 cnf('0.70.1.1',plain,
% 0.98/1.34 ( mult(X1,rd(mult(X1,mult(X2,X1)),X1)) = mult(mult(X1,X1),X2) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.70.1.0','0.60.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.70.2.0',plain,
% 0.98/1.34 ( mult(X1,rd(mult(X1,mult(X2,X1)),X1)) = mult(mult(X1,X1),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.70.1.1',theory(equality)]),
% 0.98/1.34 [u,rule_70]).
% 0.98/1.34 cnf('0.72.0.0',plain,
% 0.98/1.34 ( rd(mult(X1,mult(X2,X1)),X1) = ld(X1,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.6.2.0','0.70.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.72.1.0',plain,
% 0.98/1.34 ( rd(mult(X1,mult(X2,X1)),X1) = ld(X1,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.72.0.0']),
% 0.98/1.34 [weight('<119,70,6,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.72.2.0',plain,
% 0.98/1.34 ( rd(mult(X1,mult(X2,X1)),X1) = ld(X1,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_72]).
% 0.98/1.34 cnf('0.73.0.0',plain,
% 0.98/1.34 ( mult(mult(X1,rd(X2,X1)),X1) = rd(mult(X1,mult(X2,X1)),X1) ),
% 0.98/1.34 inference(interreduction_right,[status(thm)],['0.60.2.0'])).
% 0.98/1.34 cnf('0.73.0.1',plain,
% 0.98/1.34 ( mult(mult(X1,rd(X2,X1)),X1) = ld(X1,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.73.0.0','0.72.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.73.1.0',plain,
% 0.98/1.34 ( mult(mult(X1,rd(X2,X1)),X1) = ld(X1,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.73.0.1']),
% 0.98/1.34 [weight('<119,60,72,[0,0,0,0]>')]).
% 0.98/1.34 cnf('0.73.2.0',plain,
% 0.98/1.34 ( mult(mult(X1,rd(X2,X1)),X1) = ld(X1,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_73]).
% 0.98/1.34 cnf('0.77.0.0',plain,
% 0.98/1.34 ( mult(ld(X1,X2),X1) = rd(ld(X1,mult(mult(X2,X1),X1)),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.44.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.77.1.0',plain,
% 0.98/1.34 ( mult(ld(X1,X2),X1) = rd(ld(X1,mult(mult(X2,X1),X1)),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.77.0.0']),
% 0.98/1.34 [weight('<149,44,5,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.77.2.0',plain,
% 0.98/1.34 ( rd(ld(X1,mult(mult(X2,X1),X1)),X1) = mult(ld(X1,X2),X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_77]).
% 0.98/1.34 cnf('0.81.0.0',plain,
% 0.98/1.34 ( mult(ld(X1,rd(X2,X1)),X1) = rd(ld(X1,mult(X2,X1)),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.77.2.0','0.4.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1.2.1','L')]).
% 0.98/1.34 cnf('0.81.1.0',plain,
% 0.98/1.34 ( mult(ld(X1,rd(X2,X1)),X1) = rd(ld(X1,mult(X2,X1)),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.81.0.0']),
% 0.98/1.34 [weight('<119,77,4,[1,0,0,4]>')]).
% 0.98/1.34 cnf('0.81.2.0',plain,
% 0.98/1.34 ( mult(ld(X1,rd(X2,X1)),X1) = rd(ld(X1,mult(X2,X1)),X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_81]).
% 0.98/1.34 cnf('0.82.0.0',plain,
% 0.98/1.34 ( mult(mult(X1,ld(X1,rd(X2,X1))),mult(X1,X1)) = mult(mult(X1,rd(ld(X1,mult(X2,X1)),X1)),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.65.2.0','0.81.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1.2','L')]).
% 0.98/1.34 cnf('0.82.0.1',plain,
% 0.98/1.34 ( mult(rd(X2,X1),mult(X1,X1)) = mult(mult(X1,rd(ld(X1,mult(X2,X1)),X1)),X1) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.82.0.0','0.1.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.82.0.2',plain,
% 0.98/1.34 ( rd(mult(X2,mult(X1,X1)),X1) = mult(mult(X1,rd(ld(X1,mult(X2,X1)),X1)),X1) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.82.0.1','0.64.2.0',theory(equality)]),
% 0.98/1.34 [pos('L','L')]).
% 0.98/1.34 cnf('0.82.0.3',plain,
% 0.98/1.34 ( rd(mult(X2,mult(X1,X1)),X1) = ld(X1,mult(mult(X1,X1),ld(X1,mult(X2,X1)))) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.82.0.2','0.73.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.82.0.4',plain,
% 0.98/1.34 ( rd(mult(X2,mult(X1,X1)),X1) = ld(X1,ld(X1,mult(mult(X1,X1),mult(X2,X1)))) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.82.0.3','0.42.2.0',theory(equality)]),
% 0.98/1.34 [pos('R.2','L')]).
% 0.98/1.34 cnf('0.82.0.5',plain,
% 0.98/1.34 ( rd(mult(X2,mult(X1,X1)),X1) = ld(X1,ld(X1,mult(X1,mult(mult(X1,X2),X1)))) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.82.0.4','0.35.2.0',theory(equality)]),
% 0.98/1.34 [pos('R.2.2','L')]).
% 0.98/1.34 cnf('0.82.0.6',plain,
% 0.98/1.34 ( rd(mult(X2,mult(X1,X1)),X1) = ld(X1,mult(mult(X1,X2),X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.82.0.5','0.6.2.0',theory(equality)]),
% 0.98/1.34 [pos('R.2','L')]).
% 0.98/1.34 cnf('0.82.1.0',plain,
% 0.98/1.34 ( rd(mult(X2,mult(X1,X1)),X1) = ld(X1,mult(mult(X1,X2),X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.82.0.6']),
% 0.98/1.34 [weight('<119,81,65,[0,0,0,3]>')]).
% 0.98/1.34 cnf('0.82.2.0',plain,
% 0.98/1.34 ( rd(mult(X1,mult(X2,X2)),X2) = ld(X2,mult(mult(X2,X1),X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_82]).
% 0.98/1.34 cnf('0.83.0.0',plain,
% 0.98/1.34 ( mult(rd(X1,X2),mult(X2,X2)) = rd(mult(X1,mult(X2,X2)),X2) ),
% 0.98/1.34 inference(interreduction_right,[status(thm)],['0.64.2.0'])).
% 0.98/1.34 cnf('0.83.0.1',plain,
% 0.98/1.34 ( mult(rd(X1,X2),mult(X2,X2)) = ld(X2,mult(mult(X2,X1),X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.83.0.0','0.82.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.83.1.0',plain,
% 0.98/1.34 ( mult(rd(X1,X2),mult(X2,X2)) = ld(X2,mult(mult(X2,X1),X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.83.0.1']),
% 0.98/1.34 [weight('<119,64,82,[0,0,0,0]>')]).
% 0.98/1.34 cnf('0.83.2.0',plain,
% 0.98/1.34 ( mult(rd(X1,X2),mult(X2,X2)) = ld(X2,mult(mult(X2,X1),X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_83]).
% 0.98/1.34 cnf('0.100.0.0',plain,
% 0.98/1.34 ( rd(mult(mult(X1,X2),mult(X2,X2)),X2) = mult(X1,mult(X2,X2)) ),
% 0.98/1.34 inference(interreduction_right,[status(thm)],['0.63.2.0'])).
% 0.98/1.34 cnf('0.100.0.1',plain,
% 0.98/1.34 ( ld(X2,mult(mult(X2,mult(X1,X2)),X2)) = mult(X1,mult(X2,X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.100.0.0','0.82.2.0',theory(equality)]),
% 0.98/1.34 [pos('L','L')]).
% 0.98/1.34 cnf('0.100.0.2',plain,
% 0.98/1.34 ( ld(X2,mult(mult(X2,X1),mult(X2,X2))) = mult(X1,mult(X2,X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.100.0.1','0.65.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.100.1.0',plain,
% 0.98/1.34 ( ld(X2,mult(mult(X2,X1),mult(X2,X2))) = mult(X1,mult(X2,X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.100.0.2']),
% 0.98/1.34 [weight('<149,63,82,[0,0,0,0]>')]).
% 0.98/1.34 cnf('0.100.2.0',plain,
% 0.98/1.34 ( ld(X1,mult(mult(X1,X2),mult(X1,X1))) = mult(X2,mult(X1,X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_100]).
% 0.98/1.34 cnf('0.101.0.0',plain,
% 0.98/1.34 ( mult(mult(X1,X2),mult(X1,X1)) = mult(X1,mult(X2,mult(X1,X1))) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.1.2.0','0.100.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.101.1.0',plain,
% 0.98/1.34 ( mult(mult(X1,X2),mult(X1,X1)) = mult(X1,mult(X2,mult(X1,X1))) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.101.0.0']),
% 0.98/1.34 [weight('<119,100,1,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.101.2.0',plain,
% 0.98/1.34 ( mult(mult(X1,X2),mult(X1,X1)) = mult(X1,mult(X2,mult(X1,X1))) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_101]).
% 0.98/1.34 cnf('0.102.0.0',plain,
% 0.98/1.34 ( mult(mult(X1,mult(X2,X1)),X1) = mult(mult(X1,X2),mult(X1,X1)) ),
% 0.98/1.34 inference(interreduction_right,[status(thm)],['0.65.2.0'])).
% 0.98/1.34 cnf('0.102.0.1',plain,
% 0.98/1.34 ( mult(mult(X1,mult(X2,X1)),X1) = mult(X1,mult(X2,mult(X1,X1))) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.102.0.0','0.101.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.102.1.0',plain,
% 0.98/1.34 ( mult(mult(X1,mult(X2,X1)),X1) = mult(X1,mult(X2,mult(X1,X1))) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.102.0.1']),
% 0.98/1.34 [weight('<119,65,101,[0,0,0,0]>')]).
% 0.98/1.34 cnf('0.102.2.0',plain,
% 0.98/1.34 ( mult(mult(X1,mult(X2,X1)),X1) = mult(X1,mult(X2,mult(X1,X1))) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_102]).
% 0.98/1.34 cnf('0.103.0.0',plain,
% 0.98/1.34 ( mult(ld(X1,X2),X1) = ld(X1,ld(X1,mult(mult(X1,X2),X1))) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.6.2.0','0.67.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.103.1.0',plain,
% 0.98/1.34 ( mult(ld(X1,X2),X1) = ld(X1,ld(X1,mult(mult(X1,X2),X1))) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.103.0.0']),
% 0.98/1.34 [weight('<149,67,6,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.103.2.0',plain,
% 0.98/1.34 ( ld(X1,ld(X1,mult(mult(X1,X2),X1))) = mult(ld(X1,X2),X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_103]).
% 0.98/1.34 cnf('0.105.0.0',plain,
% 0.98/1.34 ( mult(ld(X1,mult(X2,X1)),X1) = ld(X1,ld(X1,mult(X1,mult(X2,mult(X1,X1))))) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.103.2.0','0.102.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2.2','L')]).
% 0.98/1.34 cnf('0.105.0.1',plain,
% 0.98/1.34 ( mult(ld(X1,mult(X2,X1)),X1) = ld(X1,mult(X2,mult(X1,X1))) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.105.0.0','0.6.2.0',theory(equality)]),
% 0.98/1.34 [pos('R.2','L')]).
% 0.98/1.34 cnf('0.105.1.0',plain,
% 0.98/1.34 ( mult(ld(X1,mult(X2,X1)),X1) = ld(X1,mult(X2,mult(X1,X1))) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.105.0.1']),
% 0.98/1.34 [weight('<119,103,102,[1,0,0,4]>')]).
% 0.98/1.34 cnf('0.105.2.0',plain,
% 0.98/1.34 ( mult(ld(X1,mult(X2,X1)),X1) = ld(X1,mult(X2,mult(X1,X1))) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_105]).
% 0.98/1.34 cnf('0.106.0.0',plain,
% 0.98/1.34 ( mult(X1,rd(X2,X1)) = ld(X1,rd(mult(X1,mult(X1,X2)),X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.6.2.0','0.69.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.106.1.0',plain,
% 0.98/1.34 ( mult(X1,rd(X2,X1)) = ld(X1,rd(mult(X1,mult(X1,X2)),X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.106.0.0']),
% 0.98/1.34 [weight('<149,69,6,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.106.2.0',plain,
% 0.98/1.34 ( ld(X1,rd(mult(X1,mult(X1,X2)),X1)) = mult(X1,rd(X2,X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_106]).
% 0.98/1.34 cnf('0.107.0.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(mult(ld(X1,X2),X1),X1),X3)) = mult(mult(X2,X1),mult(X1,X3)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1.1','L')]).
% 0.98/1.34 cnf('0.107.1.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(mult(ld(X1,X2),X1),X1),X3)) = mult(mult(X2,X1),mult(X1,X3)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.107.0.0']),
% 0.98/1.34 [weight('<?,7,1,[1,0,0,2]>')]).
% 0.98/1.34 cnf('0.107.1.1',plain,
% 0.98/1.34 ( mult(X1,mult(ld(X1,mult(mult(X2,X1),X1)),X3)) = mult(mult(X2,X1),mult(X1,X3)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.107.1.0','0.44.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2.1','L')]).
% 0.98/1.34 cnf('0.107.2.0',plain,
% 0.98/1.34 ( mult(X1,mult(ld(X1,mult(mult(X2,X1),X1)),X3)) = mult(mult(X2,X1),mult(X1,X3)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.107.1.1',theory(equality)]),
% 0.98/1.34 [u,rule_107]).
% 0.98/1.34 cnf('0.108.0.0',plain,
% 0.98/1.34 ( mult(mult(mult(X1,X1),i(X1)),mult(i(X1),X2)) = mult(i(X1),mult(ld(i(X1),mult(X1,i(X1))),X2)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.107.2.0','0.22.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2.1.2.1','L')]).
% 0.98/1.34 cnf('0.108.0.1',plain,
% 0.98/1.34 ( mult(X1,mult(i(X1),X2)) = mult(i(X1),mult(ld(i(X1),mult(X1,i(X1))),X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.108.0.0','0.22.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.108.0.2',plain,
% 0.98/1.34 ( mult(X1,mult(i(X1),X2)) = mult(i(X1),mult(ld(i(X1),unit),X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.108.0.1','0.8.2.0',theory(equality)]),
% 0.98/1.34 [pos('R.2.1.2','L')]).
% 0.98/1.34 cnf('0.108.0.3',plain,
% 0.98/1.34 ( mult(X1,mult(i(X1),X2)) = mult(i(X1),mult(i(i(X1)),X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.108.0.2','0.16.2.0',theory(equality)]),
% 0.98/1.34 [pos('R.2.1','L')]).
% 0.98/1.34 cnf('0.108.0.4',plain,
% 0.98/1.34 ( mult(X1,mult(i(X1),X2)) = mult(i(X1),mult(X1,X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.108.0.3','0.18.2.0',theory(equality)]),
% 0.98/1.34 [pos('R.2.1','L')]).
% 0.98/1.34 cnf('0.108.1.0',plain,
% 0.98/1.34 ( mult(X1,mult(i(X1),X2)) = mult(i(X1),mult(X1,X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.108.0.4']),
% 0.98/1.34 [weight('<90,107,22,[1,0,0,6]>')]).
% 0.98/1.34 cnf('0.108.2.0',plain,
% 0.98/1.34 ( mult(i(X1),mult(X1,X2)) = mult(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_108]).
% 0.98/1.34 cnf('0.109.0.0',plain,
% 0.98/1.34 ( mult(mult(i(X1),X1),mult(X1,mult(X2,X1))) = mult(mult(X1,mult(i(X1),mult(X1,X2))),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.9.2.0','0.108.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.109.0.1',plain,
% 0.98/1.34 ( mult(unit,mult(X1,mult(X2,X1))) = mult(mult(X1,mult(i(X1),mult(X1,X2))),X1) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.109.0.0','0.10.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.109.0.2',plain,
% 0.98/1.34 ( mult(X1,mult(X2,X1)) = mult(mult(X1,mult(i(X1),mult(X1,X2))),X1) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.109.0.1','0.3.2.0',theory(equality)]),
% 0.98/1.34 [pos('L','L')]).
% 0.98/1.34 cnf('0.109.0.3',plain,
% 0.98/1.34 ( mult(X1,mult(X2,X1)) = mult(mult(X1,mult(X1,mult(i(X1),X2))),X1) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.109.0.2','0.108.2.0',theory(equality)]),
% 0.98/1.34 [pos('R.1.2','L')]).
% 0.98/1.34 cnf('0.109.0.4',plain,
% 0.98/1.34 ( mult(X1,mult(X2,X1)) = mult(X1,mult(X1,mult(mult(i(X1),X2),X1))) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.109.0.3','0.33.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.109.1.0',plain,
% 0.98/1.34 ( mult(X2,X1) = mult(X1,mult(mult(i(X1),X2),X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.109.0.4']),
% 0.98/1.34 [weight('<107,108,9,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.109.2.0',plain,
% 0.98/1.34 ( mult(X1,mult(mult(i(X1),X2),X1)) = mult(X2,X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_109]).
% 0.98/1.34 cnf('0.110.0.0',plain,
% 0.98/1.34 ( mult(ld(i(X1),X2),X1) = mult(X1,mult(X2,X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.109.2.0','0.1.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2.1','L')]).
% 0.98/1.34 cnf('0.110.1.0',plain,
% 0.98/1.34 ( mult(ld(i(X1),X2),X1) = mult(X1,mult(X2,X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.110.0.0']),
% 0.98/1.34 [weight('<83,109,1,[1,0,0,3]>')]).
% 0.98/1.34 cnf('0.110.2.0',plain,
% 0.98/1.34 ( mult(ld(i(X1),X2),X1) = mult(X1,mult(X2,X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_110]).
% 0.98/1.34 cnf('0.111.0.0',plain,
% 0.98/1.34 ( mult(mult(i(X1),X2),X1) = ld(X1,mult(X2,X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.6.2.0','0.109.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.111.1.0',plain,
% 0.98/1.34 ( mult(mult(i(X1),X2),X1) = ld(X1,mult(X2,X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.111.0.0']),
% 0.98/1.34 [weight('<83,109,6,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.111.2.0',plain,
% 0.98/1.34 ( mult(mult(i(X1),X2),X1) = ld(X1,mult(X2,X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_111]).
% 0.98/1.34 cnf('0.112.0.0',plain,
% 0.98/1.34 ( ld(i(X1),X2) = rd(mult(X1,mult(X2,X1)),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.110.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.112.0.1',plain,
% 0.98/1.34 ( ld(i(X1),X2) = ld(X1,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.112.0.0','0.72.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.112.1.0',plain,
% 0.98/1.34 ( ld(i(X1),X2) = ld(X1,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.112.0.1']),
% 0.98/1.34 [weight('<95,110,5,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.112.2.0',plain,
% 0.98/1.34 ( ld(X1,mult(mult(X1,X1),X2)) = ld(i(X1),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_112]).
% 0.98/1.34 cnf('0.113.0.0',plain,
% 0.98/1.34 ( mult(mult(X1,X1),X2) = mult(X1,ld(i(X1),X2)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.1.2.0','0.112.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.113.1.0',plain,
% 0.98/1.34 ( mult(mult(X1,X1),X2) = mult(X1,ld(i(X1),X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.113.0.0']),
% 0.98/1.34 [weight('<83,112,1,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.113.2.0',plain,
% 0.98/1.34 ( mult(X1,ld(i(X1),X2)) = mult(mult(X1,X1),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_113]).
% 0.98/1.34 cnf('0.114.0.0',plain,
% 0.98/1.34 ( ld(i(X1),mult(X1,X2)) = ld(X1,mult(X1,mult(mult(X1,X1),X2))) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.112.2.0','0.21.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.114.0.1',plain,
% 0.98/1.34 ( ld(i(X1),mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.114.0.0','0.6.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.114.1.0',plain,
% 0.98/1.34 ( ld(i(X1),mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.114.0.1']),
% 0.98/1.34 [weight('<83,112,21,[1,0,0,2]>')]).
% 0.98/1.34 cnf('0.114.2.0',plain,
% 0.98/1.34 ( ld(i(X1),mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_114]).
% 0.98/1.34 cnf('0.118.0.0',plain,
% 0.98/1.34 ( ld(i(X1),mult(X2,X1)) = ld(X1,mult(X1,mult(mult(X1,X2),X1))) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.112.2.0','0.35.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.118.0.1',plain,
% 0.98/1.34 ( ld(i(X1),mult(X2,X1)) = mult(mult(X1,X2),X1) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.118.0.0','0.6.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.118.1.0',plain,
% 0.98/1.34 ( ld(i(X1),mult(X2,X1)) = mult(mult(X1,X2),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.118.0.1']),
% 0.98/1.34 [weight('<83,112,35,[1,0,0,2]>')]).
% 0.98/1.34 cnf('0.118.2.0',plain,
% 0.98/1.34 ( ld(i(X1),mult(X2,X1)) = mult(mult(X1,X2),X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.118.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_118]).
% 0.98/1.34 cnf('0.120.0.0',plain,
% 0.98/1.34 ( mult(mult(i(X1),i(X1)),X2) = mult(i(X1),ld(X1,X2)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.113.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2.1','L')]).
% 0.98/1.34 cnf('0.120.0.1',plain,
% 0.98/1.34 ( mult(ld(X1,i(X1)),X2) = mult(i(X1),ld(X1,X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.120.0.0','0.53.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.120.1.0',plain,
% 0.98/1.34 ( mult(ld(X1,i(X1)),X2) = mult(i(X1),ld(X1,X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.120.0.1']),
% 0.98/1.34 [weight('<90,113,18,[1,0,0,3]>')]).
% 0.98/1.34 cnf('0.120.2.0',plain,
% 0.98/1.34 ( mult(ld(X1,i(X1)),X2) = mult(i(X1),ld(X1,X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_120]).
% 0.98/1.34 cnf('0.121.0.0',plain,
% 0.98/1.34 ( mult(mult(i(X1),i(X1)),X2) = ld(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.114.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.121.0.1',plain,
% 0.98/1.34 ( mult(ld(X1,i(X1)),X2) = ld(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.121.0.0','0.53.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.121.1.0',plain,
% 0.98/1.34 ( mult(ld(X1,i(X1)),X2) = ld(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.121.0.1']),
% 0.98/1.34 [weight('<90,114,18,[1,0,0,1]>')]).
% 0.98/1.34 cnf('0.121.1.1',plain,
% 0.98/1.34 ( mult(i(X1),ld(X1,X2)) = ld(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.121.1.0','0.120.2.0',theory(equality)]),
% 0.98/1.34 [pos('L','L')]).
% 0.98/1.34 cnf('0.121.2.0',plain,
% 0.98/1.34 ( mult(i(X1),ld(X1,X2)) = ld(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.121.1.1',theory(equality)]),
% 0.98/1.34 [u,rule_121]).
% 0.98/1.34 cnf('0.122.0.0',plain,
% 0.98/1.34 ( mult(ld(X1,i(X1)),X2) = mult(i(X1),ld(X1,X2)) ),
% 0.98/1.34 inference(interreduction_right,[status(thm)],['0.120.2.0'])).
% 0.98/1.34 cnf('0.122.0.1',plain,
% 0.98/1.34 ( mult(ld(X1,i(X1)),X2) = ld(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.122.0.0','0.121.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.122.1.0',plain,
% 0.98/1.34 ( mult(ld(X1,i(X1)),X2) = ld(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.122.0.1']),
% 0.98/1.34 [weight('<90,120,121,[0,0,0,0]>')]).
% 0.98/1.34 cnf('0.122.2.0',plain,
% 0.98/1.34 ( mult(ld(X1,i(X1)),X2) = ld(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.122.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_122]).
% 0.98/1.34 cnf('0.123.0.0',plain,
% 0.98/1.34 ( mult(mult(X1,X1),ld(X1,X2)) = ld(X1,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(interreduction_right,[status(thm)],['0.42.2.0'])).
% 0.98/1.34 cnf('0.123.0.1',plain,
% 0.98/1.34 ( mult(mult(X1,X1),ld(X1,X2)) = ld(i(X1),X2) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.123.0.0','0.112.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.123.1.0',plain,
% 0.98/1.34 ( mult(mult(X1,X1),ld(X1,X2)) = ld(i(X1),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.123.0.1']),
% 0.98/1.34 [weight('<95,42,112,[0,0,0,0]>')]).
% 0.98/1.34 cnf('0.123.2.0',plain,
% 0.98/1.34 ( mult(mult(X1,X1),ld(X1,X2)) = ld(i(X1),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.123.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_123]).
% 0.98/1.34 cnf('0.124.0.0',plain,
% 0.98/1.34 ( ld(i(X1),ld(X1,X2)) = ld(X1,ld(i(X1),X2)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.112.2.0','0.123.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.124.1.0',plain,
% 0.98/1.34 ( ld(i(X1),ld(X1,X2)) = ld(X1,ld(i(X1),X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.124.0.0']),
% 0.98/1.34 [weight('<90,123,112,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.124.2.0',plain,
% 0.98/1.34 ( ld(i(X1),ld(X1,X2)) = ld(X1,ld(i(X1),X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.124.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_124]).
% 0.98/1.34 cnf('0.125.0.0',plain,
% 0.98/1.34 ( rd(mult(X1,mult(X2,X1)),X1) = ld(X1,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(interreduction_right,[status(thm)],['0.72.2.0'])).
% 0.98/1.34 cnf('0.125.0.1',plain,
% 0.98/1.34 ( rd(mult(X1,mult(X2,X1)),X1) = ld(i(X1),X2) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.125.0.0','0.112.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.125.1.0',plain,
% 0.98/1.34 ( rd(mult(X1,mult(X2,X1)),X1) = ld(i(X1),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.125.0.1']),
% 0.98/1.34 [weight('<95,72,112,[0,0,0,0]>')]).
% 0.98/1.34 cnf('0.125.2.0',plain,
% 0.98/1.34 ( rd(mult(X1,mult(X2,X1)),X1) = ld(i(X1),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.125.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_125]).
% 0.98/1.34 cnf('0.126.0.0',plain,
% 0.98/1.34 ( ld(i(X1),rd(X2,X1)) = rd(mult(X1,X2),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.125.2.0','0.4.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1.2','L')]).
% 0.98/1.34 cnf('0.126.1.0',plain,
% 0.98/1.34 ( ld(i(X1),rd(X2,X1)) = rd(mult(X1,X2),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.126.0.0']),
% 0.98/1.34 [weight('<83,125,4,[1,0,0,3]>')]).
% 0.98/1.34 cnf('0.126.2.0',plain,
% 0.98/1.34 ( ld(i(X1),rd(X2,X1)) = rd(mult(X1,X2),X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.126.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_126]).
% 0.98/1.34 cnf('0.127.0.0',plain,
% 0.98/1.34 ( mult(mult(X1,rd(X2,X1)),X1) = ld(X1,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(interreduction_right,[status(thm)],['0.73.2.0'])).
% 0.98/1.34 cnf('0.127.0.1',plain,
% 0.98/1.34 ( mult(mult(X1,rd(X2,X1)),X1) = ld(i(X1),X2) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.127.0.0','0.112.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.127.1.0',plain,
% 0.98/1.34 ( mult(mult(X1,rd(X2,X1)),X1) = ld(i(X1),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.127.0.1']),
% 0.98/1.34 [weight('<95,73,112,[0,0,0,0]>')]).
% 0.98/1.34 cnf('0.127.2.0',plain,
% 0.98/1.34 ( mult(mult(X1,rd(X2,X1)),X1) = ld(i(X1),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.127.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_127]).
% 0.98/1.34 cnf('0.128.0.0',plain,
% 0.98/1.34 ( mult(X1,rd(X2,X1)) = rd(ld(i(X1),X2),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.127.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.128.1.0',plain,
% 0.98/1.34 ( mult(X1,rd(X2,X1)) = rd(ld(i(X1),X2),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.128.0.0']),
% 0.98/1.34 [weight('<83,127,5,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.128.2.0',plain,
% 0.98/1.34 ( rd(ld(i(X1),X2),X1) = mult(X1,rd(X2,X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.128.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_128]).
% 0.98/1.34 cnf('0.131.0.0',plain,
% 0.98/1.34 ( mult(i(X1),X2) = rd(ld(X1,mult(X2,X1)),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.111.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.131.1.0',plain,
% 0.98/1.34 ( mult(i(X1),X2) = rd(ld(X1,mult(X2,X1)),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.131.0.0']),
% 0.98/1.34 [weight('<95,111,5,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.131.2.0',plain,
% 0.98/1.34 ( rd(ld(X1,mult(X2,X1)),X1) = mult(i(X1),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_131]).
% 0.98/1.34 cnf('0.132.0.0',plain,
% 0.98/1.34 ( rd(ld(X1,mult(mult(X2,X1),X1)),X1) = mult(ld(X1,X2),X1) ),
% 0.98/1.34 inference(interreduction_right,[status(thm)],['0.77.2.0'])).
% 0.98/1.34 cnf('0.132.0.1',plain,
% 0.98/1.34 ( mult(i(X1),mult(X2,X1)) = mult(ld(X1,X2),X1) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.132.0.0','0.131.2.0',theory(equality)]),
% 0.98/1.34 [pos('L','L')]).
% 0.98/1.34 cnf('0.132.1.0',plain,
% 0.98/1.34 ( mult(i(X1),mult(X2,X1)) = mult(ld(X1,X2),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.132.0.1']),
% 0.98/1.34 [weight('<83,77,131,[0,0,0,0]>')]).
% 0.98/1.34 cnf('0.132.2.0',plain,
% 0.98/1.34 ( mult(i(X1),mult(X2,X1)) = mult(ld(X1,X2),X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_132]).
% 0.98/1.34 cnf('0.133.0.0',plain,
% 0.98/1.34 ( mult(i(X1),rd(X2,X1)) = rd(ld(X1,X2),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.131.2.0','0.4.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1.2','L')]).
% 0.98/1.34 cnf('0.133.1.0',plain,
% 0.98/1.34 ( mult(i(X1),rd(X2,X1)) = rd(ld(X1,X2),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.133.0.0']),
% 0.98/1.34 [weight('<83,131,4,[1,0,0,3]>')]).
% 0.98/1.34 cnf('0.133.2.0',plain,
% 0.98/1.34 ( mult(i(X1),rd(X2,X1)) = rd(ld(X1,X2),X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.133.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_133]).
% 0.98/1.34 cnf('0.134.0.0',plain,
% 0.98/1.34 ( mult(ld(X1,rd(X2,X1)),X1) = rd(ld(X1,mult(X2,X1)),X1) ),
% 0.98/1.34 inference(interreduction_right,[status(thm)],['0.81.2.0'])).
% 0.98/1.34 cnf('0.134.0.1',plain,
% 0.98/1.34 ( mult(ld(X1,rd(X2,X1)),X1) = mult(i(X1),X2) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.134.0.0','0.131.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.134.1.0',plain,
% 0.98/1.34 ( mult(ld(X1,rd(X2,X1)),X1) = mult(i(X1),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.134.0.1']),
% 0.98/1.34 [weight('<95,81,131,[0,0,0,0]>')]).
% 0.98/1.34 cnf('0.134.2.0',plain,
% 0.98/1.34 ( mult(ld(X1,rd(X2,X1)),X1) = mult(i(X1),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.134.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_134]).
% 0.98/1.34 cnf('0.135.0.0',plain,
% 0.98/1.34 ( ld(X1,rd(X2,X1)) = rd(mult(i(X1),X2),X1) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.134.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.135.1.0',plain,
% 0.98/1.34 ( ld(X1,rd(X2,X1)) = rd(mult(i(X1),X2),X1) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.135.0.0']),
% 0.98/1.34 [weight('<83,134,5,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.135.2.0',plain,
% 0.98/1.34 ( rd(mult(i(X1),X2),X1) = ld(X1,rd(X2,X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.135.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_135]).
% 0.98/1.34 cnf('0.136.0.0',plain,
% 0.98/1.34 ( ld(X1,mult(mult(X1,rd(X2,X1)),X1)) = mult(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.67.2.0','0.134.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.136.0.1',plain,
% 0.98/1.34 ( ld(X1,ld(i(X1),X2)) = mult(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.136.0.0','0.127.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.136.1.0',plain,
% 0.98/1.34 ( ld(X1,ld(i(X1),X2)) = mult(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.136.0.1']),
% 0.98/1.34 [weight('<90,134,67,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.136.2.0',plain,
% 0.98/1.34 ( mult(X1,mult(i(X1),X2)) = ld(X1,ld(i(X1),X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.136.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_136]).
% 0.98/1.34 cnf('0.137.0.0',plain,
% 0.98/1.34 ( mult(i(X1),mult(X1,X2)) = mult(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(interreduction_right,[status(thm)],['0.108.2.0'])).
% 0.98/1.34 cnf('0.137.0.1',plain,
% 0.98/1.34 ( mult(i(X1),mult(X1,X2)) = ld(X1,ld(i(X1),X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.137.0.0','0.136.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.137.1.0',plain,
% 0.98/1.34 ( mult(i(X1),mult(X1,X2)) = ld(X1,ld(i(X1),X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.137.0.1']),
% 0.98/1.34 [weight('<90,108,136,[0,0,0,0]>')]).
% 0.98/1.34 cnf('0.137.2.0',plain,
% 0.98/1.34 ( mult(i(X1),mult(X1,X2)) = ld(X1,ld(i(X1),X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.137.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_137]).
% 0.98/1.34 cnf('0.141.0.0',plain,
% 0.98/1.34 ( ld(i(X1),ld(mult(X1,X1),X2)) = ld(X1,X2) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.112.2.0','0.1.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.141.1.0',plain,
% 0.98/1.34 ( ld(i(X1),ld(mult(X1,X1),X2)) = ld(X1,X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.141.0.0']),
% 0.98/1.34 [weight('<107,112,1,[1,0,0,2]>')]).
% 0.98/1.34 cnf('0.141.2.0',plain,
% 0.98/1.34 ( ld(i(X1),ld(mult(X1,X1),X2)) = ld(X1,X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_141]).
% 0.98/1.34 cnf('0.142.0.0',plain,
% 0.98/1.34 ( ld(mult(X1,X1),X2) = mult(i(X1),ld(X1,X2)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.1.2.0','0.141.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.142.0.1',plain,
% 0.98/1.34 ( ld(mult(X1,X1),X2) = ld(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.142.0.0','0.121.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.142.1.0',plain,
% 0.98/1.34 ( ld(mult(X1,X1),X2) = ld(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.142.0.1']),
% 0.98/1.34 [weight('<83,141,1,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.142.2.0',plain,
% 0.98/1.34 ( ld(X1,mult(i(X1),X2)) = ld(mult(X1,X1),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.142.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_142]).
% 0.98/1.34 cnf('0.143.0.0',plain,
% 0.98/1.34 ( mult(i(X1),ld(X1,X2)) = ld(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(interreduction_right,[status(thm)],['0.121.2.0'])).
% 0.98/1.34 cnf('0.143.0.1',plain,
% 0.98/1.34 ( mult(i(X1),ld(X1,X2)) = ld(mult(X1,X1),X2) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.143.0.0','0.142.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.143.1.0',plain,
% 0.98/1.34 ( mult(i(X1),ld(X1,X2)) = ld(mult(X1,X1),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.143.0.1']),
% 0.98/1.34 [weight('<83,121,142,[0,0,0,0]>')]).
% 0.98/1.34 cnf('0.143.2.0',plain,
% 0.98/1.34 ( mult(i(X1),ld(X1,X2)) = ld(mult(X1,X1),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.143.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_143]).
% 0.98/1.34 cnf('0.144.0.0',plain,
% 0.98/1.34 ( mult(ld(X1,i(X1)),X2) = ld(X1,mult(i(X1),X2)) ),
% 0.98/1.34 inference(interreduction_right,[status(thm)],['0.122.2.0'])).
% 0.98/1.34 cnf('0.144.0.1',plain,
% 0.98/1.34 ( mult(ld(X1,i(X1)),X2) = ld(mult(X1,X1),X2) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.144.0.0','0.142.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.144.1.0',plain,
% 0.98/1.34 ( mult(ld(X1,i(X1)),X2) = ld(mult(X1,X1),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.144.0.1']),
% 0.98/1.34 [weight('<83,122,142,[0,0,0,0]>')]).
% 0.98/1.34 cnf('0.144.2.0',plain,
% 0.98/1.34 ( mult(ld(X1,i(X1)),X2) = ld(mult(X1,X1),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.144.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_144]).
% 0.98/1.34 cnf('0.145.0.0',plain,
% 0.98/1.34 ( ld(mult(i(X1),i(X1)),X2) = ld(i(X1),mult(X1,X2)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.142.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2.1','L')]).
% 0.98/1.34 cnf('0.145.0.1',plain,
% 0.98/1.34 ( ld(ld(X1,i(X1)),X2) = ld(i(X1),mult(X1,X2)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.145.0.0','0.53.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.145.0.2',plain,
% 0.98/1.34 ( ld(ld(X1,i(X1)),X2) = mult(mult(X1,X1),X2) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.145.0.1','0.114.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.145.1.0',plain,
% 0.98/1.34 ( ld(ld(X1,i(X1)),X2) = mult(mult(X1,X1),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.145.0.2']),
% 0.98/1.34 [weight('<83,142,18,[1,0,0,3]>')]).
% 0.98/1.34 cnf('0.145.2.0',plain,
% 0.98/1.34 ( ld(ld(X1,i(X1)),X2) = mult(mult(X1,X1),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.145.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_145]).
% 0.98/1.34 cnf('0.147.0.0',plain,
% 0.98/1.34 ( ld(mult(X1,X1),mult(X1,X2)) = mult(i(X1),X2) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.143.2.0','0.6.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.147.1.0',plain,
% 0.98/1.34 ( ld(mult(X1,X1),mult(X1,X2)) = mult(i(X1),X2) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.147.0.0']),
% 0.98/1.34 [weight('<95,143,6,[1,0,0,3]>')]).
% 0.98/1.34 cnf('0.147.2.0',plain,
% 0.98/1.34 ( ld(mult(X1,X1),mult(X1,X2)) = mult(i(X1),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_147]).
% 0.98/1.34 cnf('0.149.0.0',plain,
% 0.98/1.34 ( ld(X1,i(X1)) = rd(X2,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.19.2.0','0.145.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.149.1.0',plain,
% 0.98/1.34 ( ld(X1,i(X1)) = rd(X2,mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.149.0.0']),
% 0.98/1.34 [weight('<95,145,19,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.149.2.0',plain,
% 0.98/1.34 ( rd(X1,mult(mult(X2,X2),X1)) = ld(X2,i(X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.149.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_149]).
% 0.98/1.34 cnf('0.153.0.0',plain,
% 0.98/1.34 ( ld(X1,X2) = ld(mult(X1,X1),ld(i(X1),X2)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.6.2.0','0.123.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.153.1.0',plain,
% 0.98/1.34 ( ld(X1,X2) = ld(mult(X1,X1),ld(i(X1),X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.153.0.0']),
% 0.98/1.34 [weight('<107,123,6,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.153.2.0',plain,
% 0.98/1.34 ( ld(mult(X1,X1),ld(i(X1),X2)) = ld(X1,X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_153]).
% 0.98/1.34 cnf('0.155.0.0',plain,
% 0.98/1.34 ( mult(i(X1),mult(X2,i(X1))) = mult(ld(X1,X2),i(X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.110.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1.1','L')]).
% 0.98/1.34 cnf('0.155.1.0',plain,
% 0.98/1.34 ( mult(i(X1),mult(X2,i(X1))) = mult(ld(X1,X2),i(X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.155.0.0']),
% 0.98/1.34 [weight('<111,110,18,[1,0,0,2]>')]).
% 0.98/1.34 cnf('0.155.2.0',plain,
% 0.98/1.34 ( mult(i(X1),mult(X2,i(X1))) = mult(ld(X1,X2),i(X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.155.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_155]).
% 0.98/1.34 cnf('0.157.0.0',plain,
% 0.98/1.34 ( mult(mult(i(X1),X2),i(X1)) = ld(X1,mult(X2,i(X1))) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.118.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.157.1.0',plain,
% 0.98/1.34 ( mult(mult(i(X1),X2),i(X1)) = ld(X1,mult(X2,i(X1))) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.157.0.0']),
% 0.98/1.34 [weight('<111,118,18,[1,0,0,1]>')]).
% 0.98/1.34 cnf('0.157.2.0',plain,
% 0.98/1.34 ( mult(mult(i(X1),X2),i(X1)) = ld(X1,mult(X2,i(X1))) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_157]).
% 0.98/1.34 cnf('0.158.0.0',plain,
% 0.98/1.34 ( rd(mult(i(X1),X2),i(X1)) = ld(X1,rd(X2,i(X1))) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.126.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.158.1.0',plain,
% 0.98/1.34 ( rd(mult(i(X1),X2),i(X1)) = ld(X1,rd(X2,i(X1))) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.158.0.0']),
% 0.98/1.34 [weight('<111,126,18,[1,0,0,1]>')]).
% 0.98/1.34 cnf('0.158.2.0',plain,
% 0.98/1.34 ( rd(mult(i(X1),X2),i(X1)) = ld(X1,rd(X2,i(X1))) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.158.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_158]).
% 0.98/1.34 cnf('0.159.0.0',plain,
% 0.98/1.34 ( mult(i(X1),rd(X2,i(X1))) = rd(ld(X1,X2),i(X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.128.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1.1','L')]).
% 0.98/1.34 cnf('0.159.1.0',plain,
% 0.98/1.34 ( mult(i(X1),rd(X2,i(X1))) = rd(ld(X1,X2),i(X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.159.0.0']),
% 0.98/1.34 [weight('<111,128,18,[1,0,0,2]>')]).
% 0.98/1.34 cnf('0.159.2.0',plain,
% 0.98/1.34 ( mult(i(X1),rd(X2,i(X1))) = rd(ld(X1,X2),i(X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_159]).
% 0.98/1.34 cnf('0.160.0.0',plain,
% 0.98/1.34 ( mult(ld(i(X1),X2),i(X1)) = mult(X1,mult(X2,i(X1))) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.132.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.160.1.0',plain,
% 0.98/1.34 ( mult(ld(i(X1),X2),i(X1)) = mult(X1,mult(X2,i(X1))) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.160.0.0']),
% 0.98/1.34 [weight('<111,132,18,[1,0,0,1]>')]).
% 0.98/1.34 cnf('0.160.2.0',plain,
% 0.98/1.34 ( mult(ld(i(X1),X2),i(X1)) = mult(X1,mult(X2,i(X1))) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_160]).
% 0.98/1.34 cnf('0.161.0.0',plain,
% 0.98/1.34 ( rd(ld(i(X1),X2),i(X1)) = mult(X1,rd(X2,i(X1))) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.133.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.161.1.0',plain,
% 0.98/1.34 ( rd(ld(i(X1),X2),i(X1)) = mult(X1,rd(X2,i(X1))) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.161.0.0']),
% 0.98/1.34 [weight('<111,133,18,[1,0,0,1]>')]).
% 0.98/1.34 cnf('0.161.2.0',plain,
% 0.98/1.34 ( rd(ld(i(X1),X2),i(X1)) = mult(X1,rd(X2,i(X1))) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.161.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_161]).
% 0.98/1.34 cnf('0.162.0.0',plain,
% 0.98/1.34 ( ld(i(X1),rd(X2,i(X1))) = rd(mult(X1,X2),i(X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.135.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1.1','L')]).
% 0.98/1.34 cnf('0.162.1.0',plain,
% 0.98/1.34 ( ld(i(X1),rd(X2,i(X1))) = rd(mult(X1,X2),i(X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.162.0.0']),
% 0.98/1.34 [weight('<111,135,18,[1,0,0,2]>')]).
% 0.98/1.34 cnf('0.162.2.0',plain,
% 0.98/1.34 ( ld(i(X1),rd(X2,i(X1))) = rd(mult(X1,X2),i(X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.162.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_162]).
% 0.98/1.34 cnf('0.167.0.0',plain,
% 0.98/1.34 ( mult(X1,rd(ld(X1,X2),X1)) = ld(X1,rd(mult(X1,X2),X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.106.2.0','0.1.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2.1.2','L')]).
% 0.98/1.34 cnf('0.167.1.0',plain,
% 0.98/1.34 ( mult(X1,rd(ld(X1,X2),X1)) = ld(X1,rd(mult(X1,X2),X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.167.0.0']),
% 0.98/1.34 [weight('<119,106,1,[1,0,0,5]>')]).
% 0.98/1.34 cnf('0.167.2.0',plain,
% 0.98/1.34 ( mult(X1,rd(ld(X1,X2),X1)) = ld(X1,rd(mult(X1,X2),X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.167.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_167]).
% 0.98/1.34 cnf('0.168.0.0',plain,
% 0.98/1.34 ( i(X1) = rd(mult(X1,X2),mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.19.2.0','0.114.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.168.1.0',plain,
% 0.98/1.34 ( i(X1) = rd(mult(X1,X2),mult(mult(X1,X1),X2)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.168.0.0']),
% 0.98/1.34 [weight('<119,114,19,[0,0,0,2]>')]).
% 0.98/1.34 cnf('0.168.2.0',plain,
% 0.98/1.34 ( rd(mult(X1,X2),mult(mult(X1,X1),X2)) = i(X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.168.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_168]).
% 0.98/1.34 cnf('0.175.0.0',plain,
% 0.98/1.34 ( mult(ld(X1,mult(ld(X1,X2),X1)),X1) = mult(i(X1),ld(X1,mult(mult(X2,X1),X1))) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.132.2.0','0.44.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.175.0.1',plain,
% 0.98/1.34 ( ld(X1,mult(ld(X1,X2),mult(X1,X1))) = mult(i(X1),ld(X1,mult(mult(X2,X1),X1))) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.175.0.0','0.105.2.0',theory(equality)]),
% 0.98/1.34 [pos('L','L')]).
% 0.98/1.34 cnf('0.175.0.2',plain,
% 0.98/1.34 ( ld(X1,mult(ld(X1,X2),mult(X1,X1))) = ld(X1,mult(i(X1),mult(mult(X2,X1),X1))) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.175.0.1','0.121.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.175.0.3',plain,
% 0.98/1.34 ( ld(X1,mult(ld(X1,X2),mult(X1,X1))) = ld(X1,mult(ld(X1,mult(X2,X1)),X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.175.0.2','0.132.2.0',theory(equality)]),
% 0.98/1.34 [pos('R.2','L')]).
% 0.98/1.34 cnf('0.175.0.4',plain,
% 0.98/1.34 ( ld(X1,mult(ld(X1,X2),mult(X1,X1))) = ld(X1,ld(X1,mult(X2,mult(X1,X1)))) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.175.0.3','0.105.2.0',theory(equality)]),
% 0.98/1.34 [pos('R.2','L')]).
% 0.98/1.34 cnf('0.175.1.0',plain,
% 0.98/1.34 ( mult(ld(X1,X2),mult(X1,X1)) = ld(X1,mult(X2,mult(X1,X1))) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.175.0.4']),
% 0.98/1.34 [weight('<119,132,44,[1,0,0,3]>')]).
% 0.98/1.34 cnf('0.175.2.0',plain,
% 0.98/1.34 ( mult(ld(X1,X2),mult(X1,X1)) = ld(X1,mult(X2,mult(X1,X1))) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.175.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_175]).
% 0.98/1.34 cnf('0.180.0.0',plain,
% 0.98/1.34 ( ld(mult(X1,X1),mult(X2,X1)) = ld(X1,mult(ld(X1,X2),X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.142.2.0','0.132.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.180.1.0',plain,
% 0.98/1.34 ( ld(mult(X1,X1),mult(X2,X1)) = ld(X1,mult(ld(X1,X2),X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.180.0.0']),
% 0.98/1.34 [weight('<119,142,132,[1,0,0,2]>')]).
% 0.98/1.34 cnf('0.180.2.0',plain,
% 0.98/1.34 ( ld(mult(X1,X1),mult(X2,X1)) = ld(X1,mult(ld(X1,X2),X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.180.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_180]).
% 0.98/1.34 cnf('0.181.0.0',plain,
% 0.98/1.34 ( ld(mult(X1,X1),rd(X2,X1)) = ld(X1,rd(ld(X1,X2),X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.142.2.0','0.133.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.181.1.0',plain,
% 0.98/1.34 ( ld(mult(X1,X1),rd(X2,X1)) = ld(X1,rd(ld(X1,X2),X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.181.0.0']),
% 0.98/1.34 [weight('<119,142,133,[1,0,0,2]>')]).
% 0.98/1.34 cnf('0.181.2.0',plain,
% 0.98/1.34 ( ld(mult(X1,X1),rd(X2,X1)) = ld(X1,rd(ld(X1,X2),X1)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.181.1.0',theory(equality)]),
% 0.98/1.34 [u,rule_181]).
% 0.98/1.34 cnf('0.197.0.0',plain,
% 0.98/1.34 ( ld(i(X1),X2) = rd(mult(X1,mult(X2,i(X1))),i(X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.5.2.0','0.160.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.197.1.0',plain,
% 0.98/1.34 ( ld(i(X1),X2) = rd(mult(X1,mult(X2,i(X1))),i(X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.197.0.0']),
% 0.98/1.34 [weight('<139,160,5,[0,0,0,1]>')]).
% 0.98/1.34 cnf('0.197.2.0',plain,
% 0.98/1.34 ( rd(mult(X1,mult(X2,i(X1))),i(X1)) = ld(i(X1),X2) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.197.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_197]).
% 0.98/1.34 cnf('0.198.0.0',plain,
% 0.98/1.34 ( ld(i(X1),ld(X1,mult(mult(X2,X1),X1))) = rd(mult(mult(X2,X1),mult(X1,i(X1))),i(X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.197.2.0','0.107.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.198.0.1',plain,
% 0.98/1.34 ( ld(X1,ld(i(X1),mult(mult(X2,X1),X1))) = rd(mult(mult(X2,X1),mult(X1,i(X1))),i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.198.0.0','0.124.2.0',theory(equality)]),
% 0.98/1.34 [pos('L','L')]).
% 0.98/1.34 cnf('0.198.0.2',plain,
% 0.98/1.34 ( ld(X1,mult(mult(X1,mult(X2,X1)),X1)) = rd(mult(mult(X2,X1),mult(X1,i(X1))),i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.198.0.1','0.118.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.198.0.3',plain,
% 0.98/1.34 ( ld(X1,mult(X1,mult(X2,mult(X1,X1)))) = rd(mult(mult(X2,X1),mult(X1,i(X1))),i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.198.0.2','0.102.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.198.0.4',plain,
% 0.98/1.34 ( mult(X2,mult(X1,X1)) = rd(mult(mult(X2,X1),mult(X1,i(X1))),i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.198.0.3','0.6.2.0',theory(equality)]),
% 0.98/1.34 [pos('L','L')]).
% 0.98/1.34 cnf('0.198.0.5',plain,
% 0.98/1.34 ( mult(X2,mult(X1,X1)) = rd(mult(mult(X2,X1),unit),i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.198.0.4','0.8.2.0',theory(equality)]),
% 0.98/1.34 [pos('R.1.2','L')]).
% 0.98/1.34 cnf('0.198.0.6',plain,
% 0.98/1.34 ( mult(X2,mult(X1,X1)) = rd(mult(X2,X1),i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.198.0.5','0.2.2.0',theory(equality)]),
% 0.98/1.34 [pos('R.1','L')]).
% 0.98/1.34 cnf('0.198.1.0',plain,
% 0.98/1.34 ( mult(X2,mult(X1,X1)) = rd(mult(X2,X1),i(X1)) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.198.0.6']),
% 0.98/1.34 [weight('<83,197,107,[1,0,0,1]>')]).
% 0.98/1.34 cnf('0.198.2.0',plain,
% 0.98/1.34 ( rd(mult(X1,X2),i(X2)) = mult(X1,mult(X2,X2)) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.198.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_198]).
% 0.98/1.34 cnf('0.199.0.0',plain,
% 0.98/1.34 ( mult(mult(X1,rd(X2,X1)),mult(X1,X1)) = rd(ld(i(X1),X2),i(X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.198.2.0','0.127.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.199.0.1',plain,
% 0.98/1.34 ( mult(X1,mult(rd(X2,X1),mult(X1,X1))) = rd(ld(i(X1),X2),i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.199.0.0','0.101.2.0',theory(equality)]),
% 0.98/1.34 [pos('L','L')]).
% 0.98/1.34 cnf('0.199.0.2',plain,
% 0.98/1.34 ( mult(X1,ld(X1,mult(mult(X1,X2),X1))) = rd(ld(i(X1),X2),i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.199.0.1','0.83.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.199.0.3',plain,
% 0.98/1.34 ( mult(mult(X1,X2),X1) = rd(ld(i(X1),X2),i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.199.0.2','0.1.2.0',theory(equality)]),
% 0.98/1.34 [pos('L','L')]).
% 0.98/1.34 cnf('0.199.0.4',plain,
% 0.98/1.34 ( mult(mult(X1,X2),X1) = mult(X1,rd(X2,i(X1))) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.199.0.3','0.161.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.199.1.0',plain,
% 0.98/1.34 ( mult(mult(X1,X2),X1) = mult(X1,rd(X2,i(X1))) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.199.0.4']),
% 0.98/1.34 [weight('<83,198,127,[1,0,0,1]>')]).
% 0.98/1.34 cnf('0.199.2.0',plain,
% 0.98/1.34 ( mult(X1,rd(X2,i(X1))) = mult(mult(X1,X2),X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.199.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_199]).
% 0.98/1.34 cnf('0.200.0.0',plain,
% 0.98/1.34 ( mult(ld(X1,rd(X2,X1)),mult(X1,X1)) = rd(mult(i(X1),X2),i(X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.198.2.0','0.134.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.1','L')]).
% 0.98/1.34 cnf('0.200.0.1',plain,
% 0.98/1.34 ( ld(X1,mult(rd(X2,X1),mult(X1,X1))) = rd(mult(i(X1),X2),i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.200.0.0','0.175.2.0',theory(equality)]),
% 0.98/1.34 [pos('L','L')]).
% 0.98/1.34 cnf('0.200.0.2',plain,
% 0.98/1.34 ( ld(X1,ld(X1,mult(mult(X1,X2),X1))) = rd(mult(i(X1),X2),i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.200.0.1','0.83.2.0',theory(equality)]),
% 0.98/1.34 [pos('L.2','L')]).
% 0.98/1.34 cnf('0.200.0.3',plain,
% 0.98/1.34 ( mult(ld(X1,X2),X1) = rd(mult(i(X1),X2),i(X1)) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.200.0.2','0.103.2.0',theory(equality)]),
% 0.98/1.34 [pos('L','L')]).
% 0.98/1.34 cnf('0.200.0.4',plain,
% 0.98/1.34 ( mult(ld(X1,X2),X1) = ld(X1,rd(X2,i(X1))) ),
% 0.98/1.34 inference(reduction,[status(thm)],['0.200.0.3','0.158.2.0',theory(equality)]),
% 0.98/1.34 [pos('R','L')]).
% 0.98/1.34 cnf('0.200.1.0',plain,
% 0.98/1.34 ( mult(ld(X1,X2),X1) = ld(X1,rd(X2,i(X1))) ),
% 0.98/1.34 inference(weigh,[status(thm)],['0.200.0.4']),
% 0.98/1.34 [weight('<83,198,134,[1,0,0,1]>')]).
% 0.98/1.34 cnf('0.200.2.0',plain,
% 0.98/1.34 ( ld(X1,rd(X2,i(X1))) = mult(ld(X1,X2),X1) ),
% 0.98/1.34 inference(orient,[status(thm)],['0.200.1.0',theory(equality)]),
% 0.98/1.34 [x,rule_200]).
% 0.98/1.34 cnf('0.201.0.0',plain,
% 0.98/1.34 ( mult(mult(i(X1),X2),i(X1)) = mult(i(X1),rd(X2,X1)) ),
% 0.98/1.34 inference(cp,[status(thm)],['0.199.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.2','L')]).
% 0.98/1.35 cnf('0.201.0.1',plain,
% 0.98/1.35 ( ld(X1,mult(X2,i(X1))) = mult(i(X1),rd(X2,X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.201.0.0','0.157.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.201.0.2',plain,
% 0.98/1.35 ( ld(X1,mult(X2,i(X1))) = rd(ld(X1,X2),X1) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.201.0.1','0.133.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.201.1.0',plain,
% 0.98/1.35 ( ld(X1,mult(X2,i(X1))) = rd(ld(X1,X2),X1) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.201.0.2']),
% 0.98/1.35 [weight('<83,199,18,[1,0,0,4]>')]).
% 0.98/1.35 cnf('0.201.2.0',plain,
% 0.98/1.35 ( ld(X1,mult(X2,i(X1))) = rd(ld(X1,X2),X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.201.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_201]).
% 0.98/1.35 cnf('0.202.0.0',plain,
% 0.98/1.35 ( mult(X1,mult(X1,mult(rd(X2,i(X1)),X1))) = mult(mult(X1,mult(mult(X1,X2),X1)),X1) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.33.2.0','0.199.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.2','L')]).
% 0.98/1.35 cnf('0.202.0.1',plain,
% 0.98/1.35 ( mult(X1,mult(X1,mult(rd(X2,i(X1)),X1))) = mult(X1,mult(mult(X1,X2),mult(X1,X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.202.0.0','0.102.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.202.0.2',plain,
% 0.98/1.35 ( mult(X1,mult(X1,mult(rd(X2,i(X1)),X1))) = mult(X1,mult(X1,mult(X2,mult(X1,X1)))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.202.0.1','0.101.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.2','L')]).
% 0.98/1.35 cnf('0.202.1.0',plain,
% 0.98/1.35 ( mult(rd(X2,i(X1)),X1) = mult(X2,mult(X1,X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.202.0.2']),
% 0.98/1.35 [weight('<83,199,33,[0,0,0,3]>')]).
% 0.98/1.35 cnf('0.202.2.0',plain,
% 0.98/1.35 ( mult(rd(X1,i(X2)),X2) = mult(X1,mult(X2,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.202.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_202]).
% 0.98/1.35 cnf('0.203.0.0',plain,
% 0.98/1.35 ( mult(i(X1),rd(X2,i(X1))) = ld(mult(X1,X1),mult(mult(X1,X2),X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.147.2.0','0.199.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.203.0.1',plain,
% 0.98/1.35 ( rd(ld(X1,X2),i(X1)) = ld(mult(X1,X1),mult(mult(X1,X2),X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.203.0.0','0.159.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.203.0.2',plain,
% 0.98/1.35 ( rd(ld(X1,X2),i(X1)) = ld(X1,mult(ld(X1,mult(X1,X2)),X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.203.0.1','0.180.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.203.0.3',plain,
% 0.98/1.35 ( rd(ld(X1,X2),i(X1)) = ld(X1,mult(X2,X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.203.0.2','0.6.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.2.1','L')]).
% 0.98/1.35 cnf('0.203.1.0',plain,
% 0.98/1.35 ( rd(ld(X1,X2),i(X1)) = ld(X1,mult(X2,X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.203.0.3']),
% 0.98/1.35 [weight('<83,199,147,[0,0,0,4]>')]).
% 0.98/1.35 cnf('0.203.2.0',plain,
% 0.98/1.35 ( rd(ld(X1,X2),i(X1)) = ld(X1,mult(X2,X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.203.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_203]).
% 0.98/1.35 cnf('0.205.0.0',plain,
% 0.98/1.35 ( mult(ld(i(X1),X2),i(X1)) = ld(i(X1),rd(X2,X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.200.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.2','L')]).
% 0.98/1.35 cnf('0.205.0.1',plain,
% 0.98/1.35 ( mult(X1,mult(X2,i(X1))) = ld(i(X1),rd(X2,X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.205.0.0','0.160.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.205.0.2',plain,
% 0.98/1.35 ( mult(X1,mult(X2,i(X1))) = rd(mult(X1,X2),X1) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.205.0.1','0.126.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.205.1.0',plain,
% 0.98/1.35 ( mult(X1,mult(X2,i(X1))) = rd(mult(X1,X2),X1) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.205.0.2']),
% 0.98/1.35 [weight('<83,200,18,[1,0,0,4]>')]).
% 0.98/1.35 cnf('0.205.2.0',plain,
% 0.98/1.35 ( mult(X1,mult(X2,i(X1))) = rd(mult(X1,X2),X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.205.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_205]).
% 0.98/1.35 cnf('0.206.0.0',plain,
% 0.98/1.35 ( ld(i(X1),rd(X2,i(X1))) = mult(mult(X1,X1),mult(ld(X1,X2),X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.123.2.0','0.200.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.206.0.1',plain,
% 0.98/1.35 ( rd(mult(X1,X2),i(X1)) = mult(mult(X1,X1),mult(ld(X1,X2),X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.206.0.0','0.162.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.206.0.2',plain,
% 0.98/1.35 ( rd(mult(X1,X2),i(X1)) = mult(X1,mult(mult(X1,ld(X1,X2)),X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.206.0.1','0.35.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.206.0.3',plain,
% 0.98/1.35 ( rd(mult(X1,X2),i(X1)) = mult(X1,mult(X2,X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.206.0.2','0.1.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.2.1','L')]).
% 0.98/1.35 cnf('0.206.1.0',plain,
% 0.98/1.35 ( rd(mult(X1,X2),i(X1)) = mult(X1,mult(X2,X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.206.0.3']),
% 0.98/1.35 [weight('<83,200,123,[0,0,0,4]>')]).
% 0.98/1.35 cnf('0.206.2.0',plain,
% 0.98/1.35 ( rd(mult(X1,X2),i(X1)) = mult(X1,mult(X2,X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.206.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_206]).
% 0.98/1.35 cnf('0.207.0.0',plain,
% 0.98/1.35 ( ld(X1,rd(X2,i(i(X1)))) = ld(mult(X1,X1),mult(ld(i(X1),X2),i(X1))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.153.2.0','0.200.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.207.0.1',plain,
% 0.98/1.35 ( ld(X1,rd(X2,X1)) = ld(mult(X1,X1),mult(ld(i(X1),X2),i(X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.207.0.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.2','L')]).
% 0.98/1.35 cnf('0.207.0.2',plain,
% 0.98/1.35 ( ld(X1,rd(X2,X1)) = ld(mult(X1,X1),mult(X1,mult(X2,i(X1)))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.207.0.1','0.160.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.2','L')]).
% 0.98/1.35 cnf('0.207.0.3',plain,
% 0.98/1.35 ( ld(X1,rd(X2,X1)) = mult(i(X1),mult(X2,i(X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.207.0.2','0.147.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.207.0.4',plain,
% 0.98/1.35 ( ld(X1,rd(X2,X1)) = mult(ld(X1,X2),i(X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.207.0.3','0.155.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.207.1.0',plain,
% 0.98/1.35 ( ld(X1,rd(X2,X1)) = mult(ld(X1,X2),i(X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.207.0.4']),
% 0.98/1.35 [weight('<83,200,153,[0,0,0,4]>')]).
% 0.98/1.35 cnf('0.207.2.0',plain,
% 0.98/1.35 ( mult(ld(X1,X2),i(X1)) = ld(X1,rd(X2,X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.207.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_207]).
% 0.98/1.35 cnf('0.209.0.0',plain,
% 0.98/1.35 ( mult(X1,mult(i(X2),i(X2))) = rd(mult(X1,i(X2)),X2) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.198.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.209.0.1',plain,
% 0.98/1.35 ( mult(X1,ld(X2,i(X2))) = rd(mult(X1,i(X2)),X2) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.209.0.0','0.53.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.209.1.0',plain,
% 0.98/1.35 ( mult(X1,ld(X2,i(X2))) = rd(mult(X1,i(X2)),X2) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.209.0.1']),
% 0.98/1.35 [weight('<90,198,18,[1,0,0,4]>')]).
% 0.98/1.35 cnf('0.209.2.0',plain,
% 0.98/1.35 ( mult(X1,ld(X2,i(X2))) = rd(mult(X1,i(X2)),X2) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.209.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_209]).
% 0.98/1.35 cnf('0.210.0.0',plain,
% 0.98/1.35 ( mult(X1,mult(i(X2),i(X2))) = mult(rd(X1,X2),i(X2)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.202.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.2','L')]).
% 0.98/1.35 cnf('0.210.0.1',plain,
% 0.98/1.35 ( mult(X1,ld(X2,i(X2))) = mult(rd(X1,X2),i(X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.210.0.0','0.53.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.210.1.0',plain,
% 0.98/1.35 ( mult(X1,ld(X2,i(X2))) = mult(rd(X1,X2),i(X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.210.0.1']),
% 0.98/1.35 [weight('<90,202,18,[1,0,0,3]>')]).
% 0.98/1.35 cnf('0.210.1.1',plain,
% 0.98/1.35 ( rd(mult(X1,i(X2)),X2) = mult(rd(X1,X2),i(X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.210.1.0','0.209.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.210.2.0',plain,
% 0.98/1.35 ( mult(rd(X1,X2),i(X2)) = rd(mult(X1,i(X2)),X2) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.210.1.1',theory(equality)]),
% 0.98/1.35 [x,rule_210]).
% 0.98/1.35 cnf('0.211.0.0',plain,
% 0.98/1.35 ( mult(rd(X1,X2),mult(X2,X2)) = rd(X1,i(X2)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.198.2.0','0.4.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.211.0.1',plain,
% 0.98/1.35 ( ld(X2,mult(mult(X2,X1),X2)) = rd(X1,i(X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.211.0.0','0.83.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.211.1.0',plain,
% 0.98/1.35 ( ld(X2,mult(mult(X2,X1),X2)) = rd(X1,i(X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.211.0.1']),
% 0.98/1.35 [weight('<95,198,4,[1,0,0,1]>')]).
% 0.98/1.35 cnf('0.211.2.0',plain,
% 0.98/1.35 ( ld(X1,mult(mult(X1,X2),X1)) = rd(X2,i(X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.211.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_211]).
% 0.98/1.35 cnf('0.213.0.0',plain,
% 0.98/1.35 ( mult(i(X1),mult(X1,X2)) = rd(rd(X2,i(X1)),X1) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.131.2.0','0.211.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.213.0.1',plain,
% 0.98/1.35 ( ld(X1,ld(i(X1),X2)) = rd(rd(X2,i(X1)),X1) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.213.0.0','0.137.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.213.1.0',plain,
% 0.98/1.35 ( ld(X1,ld(i(X1),X2)) = rd(rd(X2,i(X1)),X1) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.213.0.1']),
% 0.98/1.35 [weight('<90,211,131,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.213.2.0',plain,
% 0.98/1.35 ( rd(rd(X1,i(X2)),X2) = ld(X2,ld(i(X2),X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.213.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_213]).
% 0.98/1.35 cnf('0.214.0.0',plain,
% 0.98/1.35 ( mult(X1,mult(ld(X1,X2),X1)) = ld(X1,mult(mult(X1,X2),X1)) ),
% 0.98/1.35 inference(interreduction_right,[status(thm)],['0.67.2.0'])).
% 0.98/1.35 cnf('0.214.0.1',plain,
% 0.98/1.35 ( mult(X1,mult(ld(X1,X2),X1)) = rd(X2,i(X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.214.0.0','0.211.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.214.1.0',plain,
% 0.98/1.35 ( mult(X1,mult(ld(X1,X2),X1)) = rd(X2,i(X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.214.0.1']),
% 0.98/1.35 [weight('<95,67,211,[0,0,0,0]>')]).
% 0.98/1.35 cnf('0.214.2.0',plain,
% 0.98/1.35 ( mult(X1,mult(ld(X1,X2),X1)) = rd(X2,i(X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.214.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_214]).
% 0.98/1.35 cnf('0.215.0.0',plain,
% 0.98/1.35 ( rd(mult(X1,mult(X2,X2)),X2) = ld(X2,mult(mult(X2,X1),X2)) ),
% 0.98/1.35 inference(interreduction_right,[status(thm)],['0.82.2.0'])).
% 0.98/1.35 cnf('0.215.0.1',plain,
% 0.98/1.35 ( rd(mult(X1,mult(X2,X2)),X2) = rd(X1,i(X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.215.0.0','0.211.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.215.1.0',plain,
% 0.98/1.35 ( rd(mult(X1,mult(X2,X2)),X2) = rd(X1,i(X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.215.0.1']),
% 0.98/1.35 [weight('<95,82,211,[0,0,0,0]>')]).
% 0.98/1.35 cnf('0.215.2.0',plain,
% 0.98/1.35 ( rd(mult(X1,mult(X2,X2)),X2) = rd(X1,i(X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.215.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_215]).
% 0.98/1.35 cnf('0.217.0.0',plain,
% 0.98/1.35 ( ld(X1,ld(i(X1),rd(X2,i(i(X1))))) = mult(X1,mult(mult(i(X1),X2),i(X1))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.136.2.0','0.199.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.217.0.1',plain,
% 0.98/1.35 ( ld(X1,ld(i(X1),rd(X2,X1))) = mult(X1,mult(mult(i(X1),X2),i(X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.217.0.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.2.2','L')]).
% 0.98/1.35 cnf('0.217.0.2',plain,
% 0.98/1.35 ( ld(X1,rd(mult(X1,X2),X1)) = mult(X1,mult(mult(i(X1),X2),i(X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.217.0.1','0.126.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.217.0.3',plain,
% 0.98/1.35 ( ld(X1,rd(mult(X1,X2),X1)) = mult(X1,ld(X1,mult(X2,i(X1)))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.217.0.2','0.157.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.2','L')]).
% 0.98/1.35 cnf('0.217.0.4',plain,
% 0.98/1.35 ( ld(X1,rd(mult(X1,X2),X1)) = mult(X2,i(X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.217.0.3','0.1.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.217.1.0',plain,
% 0.98/1.35 ( ld(X1,rd(mult(X1,X2),X1)) = mult(X2,i(X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.217.0.4']),
% 0.98/1.35 [weight('<95,199,136,[0,0,0,2]>')]).
% 0.98/1.35 cnf('0.217.2.0',plain,
% 0.98/1.35 ( ld(X1,rd(mult(X1,X2),X1)) = mult(X2,i(X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.217.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_217]).
% 0.98/1.35 cnf('0.219.0.0',plain,
% 0.98/1.35 ( mult(i(X1),mult(X1,X2)) = mult(mult(X2,i(X1)),X1) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.134.2.0','0.217.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.219.0.1',plain,
% 0.98/1.35 ( ld(X1,ld(i(X1),X2)) = mult(mult(X2,i(X1)),X1) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.219.0.0','0.137.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.219.1.0',plain,
% 0.98/1.35 ( ld(X1,ld(i(X1),X2)) = mult(mult(X2,i(X1)),X1) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.219.0.1']),
% 0.98/1.35 [weight('<90,217,134,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.219.2.0',plain,
% 0.98/1.35 ( mult(mult(X1,i(X2)),X2) = ld(X2,ld(i(X2),X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.219.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_219]).
% 0.98/1.35 cnf('0.220.0.0',plain,
% 0.98/1.35 ( mult(X1,rd(ld(X1,X2),X1)) = ld(X1,rd(mult(X1,X2),X1)) ),
% 0.98/1.35 inference(interreduction_right,[status(thm)],['0.167.2.0'])).
% 0.98/1.35 cnf('0.220.0.1',plain,
% 0.98/1.35 ( mult(X1,rd(ld(X1,X2),X1)) = mult(X2,i(X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.220.0.0','0.217.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.220.1.0',plain,
% 0.98/1.35 ( mult(X1,rd(ld(X1,X2),X1)) = mult(X2,i(X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.220.0.1']),
% 0.98/1.35 [weight('<95,167,217,[0,0,0,0]>')]).
% 0.98/1.35 cnf('0.220.2.0',plain,
% 0.98/1.35 ( mult(X1,rd(ld(X1,X2),X1)) = mult(X2,i(X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.220.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_220]).
% 0.98/1.35 cnf('0.221.0.0',plain,
% 0.98/1.35 ( mult(i(X1),mult(X2,i(X1))) = mult(ld(X1,X2),i(X1)) ),
% 0.98/1.35 inference(interreduction_right,[status(thm)],['0.155.2.0'])).
% 0.98/1.35 cnf('0.221.0.1',plain,
% 0.98/1.35 ( mult(i(X1),mult(X2,i(X1))) = ld(X1,rd(X2,X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.221.0.0','0.207.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.221.1.0',plain,
% 0.98/1.35 ( mult(i(X1),mult(X2,i(X1))) = ld(X1,rd(X2,X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.221.0.1']),
% 0.98/1.35 [weight('<103,155,207,[0,0,0,0]>')]).
% 0.98/1.35 cnf('0.221.2.0',plain,
% 0.98/1.35 ( mult(i(X1),mult(X2,i(X1))) = ld(X1,rd(X2,X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.221.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_221]).
% 0.98/1.35 cnf('0.222.0.0',plain,
% 0.98/1.35 ( ld(ld(X1,i(X1)),rd(X2,ld(X1,i(X1)))) = mult(mult(X1,X1),mult(X2,i(ld(X1,i(X1))))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.221.2.0','0.52.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.222.0.1',plain,
% 0.98/1.35 ( mult(mult(X1,X1),rd(X2,ld(X1,i(X1)))) = mult(mult(X1,X1),mult(X2,i(ld(X1,i(X1))))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.222.0.0','0.145.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.222.0.2',plain,
% 0.98/1.35 ( mult(mult(X1,X1),rd(X2,ld(X1,i(X1)))) = mult(mult(X1,X1),mult(X2,mult(X1,X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.222.0.1','0.52.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.2.2','L')]).
% 0.98/1.35 cnf('0.222.1.0',plain,
% 0.98/1.35 ( rd(X2,ld(X1,i(X1))) = mult(X2,mult(X1,X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.222.0.2']),
% 0.98/1.35 [weight('<83,221,52,[1,0,0,1]>')]).
% 0.98/1.35 cnf('0.222.2.0',plain,
% 0.98/1.35 ( rd(X1,ld(X2,i(X2))) = mult(X1,mult(X2,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.222.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_222]).
% 0.98/1.35 cnf('0.223.0.0',plain,
% 0.98/1.35 ( mult(X1,mult(i(X2),i(X2))) = rd(X1,ld(i(X2),X2)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.222.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.2','L')]).
% 0.98/1.35 cnf('0.223.0.1',plain,
% 0.98/1.35 ( mult(X1,ld(X2,i(X2))) = rd(X1,ld(i(X2),X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.223.0.0','0.53.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.223.0.2',plain,
% 0.98/1.35 ( rd(mult(X1,i(X2)),X2) = rd(X1,ld(i(X2),X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.223.0.1','0.209.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.223.0.3',plain,
% 0.98/1.35 ( rd(mult(X1,i(X2)),X2) = rd(X1,mult(X2,X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.223.0.2','0.48.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.2','L')]).
% 0.98/1.35 cnf('0.223.1.0',plain,
% 0.98/1.35 ( rd(mult(X1,i(X2)),X2) = rd(X1,mult(X2,X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.223.0.3']),
% 0.98/1.35 [weight('<83,222,18,[1,0,0,4]>')]).
% 0.98/1.35 cnf('0.223.2.0',plain,
% 0.98/1.35 ( rd(mult(X1,i(X2)),X2) = rd(X1,mult(X2,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.223.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_223]).
% 0.98/1.35 cnf('0.224.0.0',plain,
% 0.98/1.35 ( mult(X1,ld(X2,i(X2))) = rd(mult(X1,i(X2)),X2) ),
% 0.98/1.35 inference(interreduction_right,[status(thm)],['0.209.2.0'])).
% 0.98/1.35 cnf('0.224.0.1',plain,
% 0.98/1.35 ( mult(X1,ld(X2,i(X2))) = rd(X1,mult(X2,X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.224.0.0','0.223.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.224.1.0',plain,
% 0.98/1.35 ( mult(X1,ld(X2,i(X2))) = rd(X1,mult(X2,X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.224.0.1']),
% 0.98/1.35 [weight('<83,209,223,[0,0,0,0]>')]).
% 0.98/1.35 cnf('0.224.2.0',plain,
% 0.98/1.35 ( mult(X1,ld(X2,i(X2))) = rd(X1,mult(X2,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.224.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_224]).
% 0.98/1.35 cnf('0.225.0.0',plain,
% 0.98/1.35 ( mult(rd(X1,X2),i(X2)) = rd(mult(X1,i(X2)),X2) ),
% 0.98/1.35 inference(interreduction_right,[status(thm)],['0.210.2.0'])).
% 0.98/1.35 cnf('0.225.0.1',plain,
% 0.98/1.35 ( mult(rd(X1,X2),i(X2)) = rd(X1,mult(X2,X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.225.0.0','0.223.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.225.1.0',plain,
% 0.98/1.35 ( mult(rd(X1,X2),i(X2)) = rd(X1,mult(X2,X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.225.0.1']),
% 0.98/1.35 [weight('<83,210,223,[0,0,0,0]>')]).
% 0.98/1.35 cnf('0.225.2.0',plain,
% 0.98/1.35 ( mult(rd(X1,X2),i(X2)) = rd(X1,mult(X2,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.225.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_225]).
% 0.98/1.35 cnf('0.228.0.0',plain,
% 0.98/1.35 ( rd(mult(X1,i(i(X2))),mult(X2,X2)) = rd(ld(i(X2),ld(i(i(X2)),X1)),X2) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.223.2.0','0.219.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.228.0.1',plain,
% 0.98/1.35 ( rd(mult(X1,X2),mult(X2,X2)) = rd(ld(i(X2),ld(i(i(X2)),X1)),X2) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.228.0.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.2','L')]).
% 0.98/1.35 cnf('0.228.0.2',plain,
% 0.98/1.35 ( rd(mult(X1,X2),mult(X2,X2)) = mult(X2,rd(ld(i(i(X2)),X1),X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.228.0.1','0.128.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.228.0.3',plain,
% 0.98/1.35 ( rd(mult(X1,X2),mult(X2,X2)) = mult(X2,rd(ld(X2,X1),X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.228.0.2','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.2.1.1','L')]).
% 0.98/1.35 cnf('0.228.0.4',plain,
% 0.98/1.35 ( rd(mult(X1,X2),mult(X2,X2)) = mult(X1,i(X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.228.0.3','0.220.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.228.1.0',plain,
% 0.98/1.35 ( rd(mult(X1,X2),mult(X2,X2)) = mult(X1,i(X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.228.0.4']),
% 0.98/1.35 [weight('<95,223,219,[1,0,0,1]>')]).
% 0.98/1.35 cnf('0.228.2.0',plain,
% 0.98/1.35 ( rd(mult(X1,X2),mult(X2,X2)) = mult(X1,i(X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.228.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_228]).
% 0.98/1.35 cnf('0.232.0.0',plain,
% 0.98/1.35 ( rd(mult(i(X1),X2),i(X1)) = ld(X1,rd(X2,i(X1))) ),
% 0.98/1.35 inference(interreduction_right,[status(thm)],['0.158.2.0'])).
% 0.98/1.35 cnf('0.232.0.1',plain,
% 0.98/1.35 ( rd(mult(i(X1),X2),i(X1)) = mult(ld(X1,X2),X1) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.232.0.0','0.200.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.232.1.0',plain,
% 0.98/1.35 ( rd(mult(i(X1),X2),i(X1)) = mult(ld(X1,X2),X1) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.232.0.1']),
% 0.98/1.35 [weight('<103,158,200,[0,0,0,0]>')]).
% 0.98/1.35 cnf('0.232.2.0',plain,
% 0.98/1.35 ( rd(mult(i(X1),X2),i(X1)) = mult(ld(X1,X2),X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.232.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_232]).
% 0.98/1.35 cnf('0.233.0.0',plain,
% 0.98/1.35 ( mult(i(X1),rd(X2,i(X1))) = rd(ld(X1,X2),i(X1)) ),
% 0.98/1.35 inference(interreduction_right,[status(thm)],['0.159.2.0'])).
% 0.98/1.35 cnf('0.233.0.1',plain,
% 0.98/1.35 ( mult(i(X1),rd(X2,i(X1))) = ld(X1,mult(X2,X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.233.0.0','0.203.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.233.1.0',plain,
% 0.98/1.35 ( mult(i(X1),rd(X2,i(X1))) = ld(X1,mult(X2,X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.233.0.1']),
% 0.98/1.35 [weight('<103,159,203,[0,0,0,0]>')]).
% 0.98/1.35 cnf('0.233.2.0',plain,
% 0.98/1.35 ( mult(i(X1),rd(X2,i(X1))) = ld(X1,mult(X2,X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.233.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_233]).
% 0.98/1.35 cnf('0.234.0.0',plain,
% 0.98/1.35 ( mult(ld(i(X1),X2),i(X1)) = mult(X1,mult(X2,i(X1))) ),
% 0.98/1.35 inference(interreduction_right,[status(thm)],['0.160.2.0'])).
% 0.98/1.35 cnf('0.234.0.1',plain,
% 0.98/1.35 ( mult(ld(i(X1),X2),i(X1)) = rd(mult(X1,X2),X1) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.234.0.0','0.205.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.234.1.0',plain,
% 0.98/1.35 ( mult(ld(i(X1),X2),i(X1)) = rd(mult(X1,X2),X1) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.234.0.1']),
% 0.98/1.35 [weight('<103,160,205,[0,0,0,0]>')]).
% 0.98/1.35 cnf('0.234.2.0',plain,
% 0.98/1.35 ( mult(ld(i(X1),X2),i(X1)) = rd(mult(X1,X2),X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.234.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_234]).
% 0.98/1.35 cnf('0.235.0.0',plain,
% 0.98/1.35 ( rd(ld(i(X1),X2),i(X1)) = mult(X1,rd(X2,i(X1))) ),
% 0.98/1.35 inference(interreduction_right,[status(thm)],['0.161.2.0'])).
% 0.98/1.35 cnf('0.235.0.1',plain,
% 0.98/1.35 ( rd(ld(i(X1),X2),i(X1)) = mult(mult(X1,X2),X1) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.235.0.0','0.199.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.235.1.0',plain,
% 0.98/1.35 ( rd(ld(i(X1),X2),i(X1)) = mult(mult(X1,X2),X1) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.235.0.1']),
% 0.98/1.35 [weight('<103,161,199,[0,0,0,0]>')]).
% 0.98/1.35 cnf('0.235.2.0',plain,
% 0.98/1.35 ( rd(ld(i(X1),X2),i(X1)) = mult(mult(X1,X2),X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.235.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_235]).
% 0.98/1.35 cnf('0.236.0.0',plain,
% 0.98/1.35 ( ld(i(X1),rd(X2,i(X1))) = rd(mult(X1,X2),i(X1)) ),
% 0.98/1.35 inference(interreduction_right,[status(thm)],['0.162.2.0'])).
% 0.98/1.35 cnf('0.236.0.1',plain,
% 0.98/1.35 ( ld(i(X1),rd(X2,i(X1))) = mult(X1,mult(X2,X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.236.0.0','0.206.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.236.1.0',plain,
% 0.98/1.35 ( ld(i(X1),rd(X2,i(X1))) = mult(X1,mult(X2,X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.236.0.1']),
% 0.98/1.35 [weight('<103,162,206,[0,0,0,0]>')]).
% 0.98/1.35 cnf('0.236.2.0',plain,
% 0.98/1.35 ( ld(i(X1),rd(X2,i(X1))) = mult(X1,mult(X2,X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.236.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_236]).
% 0.98/1.35 cnf('0.286.0.0',plain,
% 0.98/1.35 ( mult(X1,mult(mult(mult(rd(X2,X1),X1),X1),X3)) = mult(ld(i(X1),X2),mult(X1,X3)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.7.2.0','0.127.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.286.0.1',plain,
% 0.98/1.35 ( mult(X1,mult(mult(X2,X1),X3)) = mult(ld(i(X1),X2),mult(X1,X3)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.286.0.0','0.4.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.1.1','L')]).
% 0.98/1.35 cnf('0.286.1.0',plain,
% 0.98/1.35 ( mult(X1,mult(mult(X2,X1),X3)) = mult(ld(i(X1),X2),mult(X1,X3)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.286.0.1']),
% 0.98/1.35 [weight('<143,127,7,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.286.2.0',plain,
% 0.98/1.35 ( mult(ld(i(X1),X2),mult(X1,X3)) = mult(X1,mult(mult(X2,X1),X3)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.286.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_286]).
% 0.98/1.35 cnf('0.287.0.0',plain,
% 0.98/1.35 ( mult(X1,mult(mult(mult(mult(i(X1),X2),i(X1)),X1),X3)) = mult(rd(X2,i(i(X1))),mult(X1,X3)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.286.2.0','0.211.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.287.0.1',plain,
% 0.98/1.35 ( mult(X1,mult(ld(X1,ld(i(X1),mult(i(X1),X2))),X3)) = mult(rd(X2,i(i(X1))),mult(X1,X3)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.287.0.0','0.219.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.1','L')]).
% 0.98/1.35 cnf('0.287.0.2',plain,
% 0.98/1.35 ( mult(X1,mult(ld(X1,X2),X3)) = mult(rd(X2,i(i(X1))),mult(X1,X3)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.287.0.1','0.6.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.1.2','L')]).
% 0.98/1.35 cnf('0.287.0.3',plain,
% 0.98/1.35 ( mult(X1,mult(ld(X1,X2),X3)) = mult(rd(X2,X1),mult(X1,X3)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.287.0.2','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.1.2','L')]).
% 0.98/1.35 cnf('0.287.1.0',plain,
% 0.98/1.35 ( mult(X1,mult(ld(X1,X2),X3)) = mult(rd(X2,X1),mult(X1,X3)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.287.0.3']),
% 0.98/1.35 [weight('<119,286,211,[1,0,0,1]>')]).
% 0.98/1.35 cnf('0.287.2.0',plain,
% 0.98/1.35 ( mult(rd(X1,X2),mult(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.287.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_287]).
% 0.98/1.35 cnf('0.289.0.0',plain,
% 0.98/1.35 ( mult(mult(X1,X2),mult(X2,mult(mult(i(X2),X3),X2))) = mult(mult(X1,mult(X2,ld(X2,ld(i(X2),X3)))),X2) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.9.2.0','0.136.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.2.2','L')]).
% 0.98/1.35 cnf('0.289.0.1',plain,
% 0.98/1.35 ( mult(mult(X1,X2),mult(X2,ld(X2,mult(X3,X2)))) = mult(mult(X1,mult(X2,ld(X2,ld(i(X2),X3)))),X2) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.289.0.0','0.111.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.2','L')]).
% 0.98/1.35 cnf('0.289.0.2',plain,
% 0.98/1.35 ( mult(mult(X1,X2),mult(X3,X2)) = mult(mult(X1,mult(X2,ld(X2,ld(i(X2),X3)))),X2) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.289.0.1','0.1.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.289.0.3',plain,
% 0.98/1.35 ( mult(mult(X1,X2),mult(X3,X2)) = mult(mult(X1,ld(i(X2),X3)),X2) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.289.0.2','0.1.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.1.2','L')]).
% 0.98/1.35 cnf('0.289.1.0',plain,
% 0.98/1.35 ( mult(mult(X1,X2),mult(X3,X2)) = mult(mult(X1,ld(i(X2),X3)),X2) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.289.0.3']),
% 0.98/1.35 [weight('<143,136,9,[0,0,0,5]>')]).
% 0.98/1.35 cnf('0.289.2.0',plain,
% 0.98/1.35 ( mult(mult(X1,ld(i(X2),X3)),X2) = mult(mult(X1,X2),mult(X3,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.289.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_289]).
% 0.98/1.35 cnf('0.290.0.0',plain,
% 0.98/1.35 ( mult(mult(X1,X2),mult(mult(mult(i(X2),X3),i(X2)),X2)) = mult(mult(X1,rd(X3,i(i(X2)))),X2) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.289.2.0','0.211.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.2','L')]).
% 0.98/1.35 cnf('0.290.0.1',plain,
% 0.98/1.35 ( mult(mult(X1,X2),ld(X2,ld(i(X2),mult(i(X2),X3)))) = mult(mult(X1,rd(X3,i(i(X2)))),X2) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.290.0.0','0.219.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.290.0.2',plain,
% 0.98/1.35 ( mult(mult(X1,X2),ld(X2,X3)) = mult(mult(X1,rd(X3,i(i(X2)))),X2) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.290.0.1','0.6.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.2','L')]).
% 0.98/1.35 cnf('0.290.0.3',plain,
% 0.98/1.35 ( mult(mult(X1,X2),ld(X2,X3)) = mult(mult(X1,rd(X3,X2)),X2) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.290.0.2','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.1.2.2','L')]).
% 0.98/1.35 cnf('0.290.1.0',plain,
% 0.98/1.35 ( mult(mult(X1,X2),ld(X2,X3)) = mult(mult(X1,rd(X3,X2)),X2) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.290.0.3']),
% 0.98/1.35 [weight('<119,289,211,[1,0,0,3]>')]).
% 0.98/1.35 cnf('0.290.2.0',plain,
% 0.98/1.35 ( mult(mult(X1,rd(X2,X3)),X3) = mult(mult(X1,X3),ld(X3,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.290.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_290]).
% 0.98/1.35 cnf('0.291.0.0',plain,
% 0.98/1.35 ( i(rd(X1,X2)) = rd(mult(rd(X1,X2),X2),mult(mult(rd(X1,X2),X2),ld(X2,X1))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.168.2.0','0.290.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.291.0.1',plain,
% 0.98/1.35 ( i(rd(X1,X2)) = rd(X1,mult(mult(rd(X1,X2),X2),ld(X2,X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.291.0.0','0.4.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.1','L')]).
% 0.98/1.35 cnf('0.291.0.2',plain,
% 0.98/1.35 ( i(rd(X1,X2)) = rd(X1,mult(X1,ld(X2,X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.291.0.1','0.4.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.2.1','L')]).
% 0.98/1.35 cnf('0.291.1.0',plain,
% 0.98/1.35 ( i(rd(X1,X2)) = rd(X1,mult(X1,ld(X2,X1))) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.291.0.2']),
% 0.98/1.35 [weight('<95,290,168,[0,0,0,4]>')]).
% 0.98/1.35 cnf('0.291.2.0',plain,
% 0.98/1.35 ( rd(X1,mult(X1,ld(X2,X1))) = i(rd(X1,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.291.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_291]).
% 0.98/1.35 cnf('0.292.0.0',plain,
% 0.98/1.35 ( mult(X1,ld(X2,X1)) = ld(i(rd(X1,X2)),X1) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.20.2.0','0.291.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.292.1.0',plain,
% 0.98/1.35 ( mult(X1,ld(X2,X1)) = ld(i(rd(X1,X2)),X1) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.292.0.0']),
% 0.98/1.35 [weight('<83,291,20,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.292.2.0',plain,
% 0.98/1.35 ( ld(i(rd(X1,X2)),X1) = mult(X1,ld(X2,X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.292.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_292]).
% 0.98/1.35 cnf('0.293.0.0',plain,
% 0.98/1.35 ( i(rd(X1,rd(X1,X2))) = rd(X1,mult(X1,X2)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.291.2.0','0.20.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.2','L')]).
% 0.98/1.35 cnf('0.293.1.0',plain,
% 0.98/1.35 ( i(rd(X1,rd(X1,X2))) = rd(X1,mult(X1,X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.293.0.0']),
% 0.98/1.35 [weight('<83,291,20,[1,0,0,4]>')]).
% 0.98/1.35 cnf('0.293.2.0',plain,
% 0.98/1.35 ( i(rd(X1,rd(X1,X2))) = rd(X1,mult(X1,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.293.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_293]).
% 0.98/1.35 cnf('0.294.0.0',plain,
% 0.98/1.35 ( rd(X1,rd(X1,X2)) = i(rd(X1,mult(X1,X2))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.18.2.0','0.293.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.294.1.0',plain,
% 0.98/1.35 ( rd(X1,rd(X1,X2)) = i(rd(X1,mult(X1,X2))) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.294.0.0']),
% 0.98/1.35 [weight('<83,293,18,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.294.2.0',plain,
% 0.98/1.35 ( i(rd(X1,mult(X1,X2))) = rd(X1,rd(X1,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.294.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_294]).
% 0.98/1.35 cnf('0.295.0.0',plain,
% 0.98/1.35 ( mult(X1,ld(mult(X1,X2),X1)) = ld(rd(X1,rd(X1,X2)),X1) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.292.2.0','0.294.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.295.0.1',plain,
% 0.98/1.35 ( mult(X1,ld(mult(X1,X2),X1)) = rd(X1,X2) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.295.0.0','0.20.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.295.1.0',plain,
% 0.98/1.35 ( mult(X1,ld(mult(X1,X2),X1)) = rd(X1,X2) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.295.0.1']),
% 0.98/1.35 [weight('<87,294,292,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.295.2.0',plain,
% 0.98/1.35 ( mult(X1,ld(mult(X1,X2),X1)) = rd(X1,X2) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.295.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_295]).
% 0.98/1.35 cnf('0.296.0.0',plain,
% 0.98/1.35 ( rd(X1,ld(X1,X2)) = mult(X1,ld(X2,X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.295.2.0','0.1.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.1','L')]).
% 0.98/1.35 cnf('0.296.1.0',plain,
% 0.98/1.35 ( rd(X1,ld(X1,X2)) = mult(X1,ld(X2,X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.296.0.0']),
% 0.98/1.35 [weight('<65,295,1,[1,0,0,3]>')]).
% 0.98/1.35 cnf('0.296.2.0',plain,
% 0.98/1.35 ( mult(X1,ld(X2,X1)) = rd(X1,ld(X1,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.296.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_296]).
% 0.98/1.35 cnf('0.297.0.0',plain,
% 0.98/1.35 ( ld(i(rd(X1,X2)),X1) = mult(X1,ld(X2,X1)) ),
% 0.98/1.35 inference(interreduction_right,[status(thm)],['0.292.2.0'])).
% 0.98/1.35 cnf('0.297.0.1',plain,
% 0.98/1.35 ( ld(i(rd(X1,X2)),X1) = rd(X1,ld(X1,X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.297.0.0','0.296.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.297.1.0',plain,
% 0.98/1.35 ( ld(i(rd(X1,X2)),X1) = rd(X1,ld(X1,X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.297.0.1']),
% 0.98/1.35 [weight('<83,292,296,[0,0,0,0]>')]).
% 0.98/1.35 cnf('0.297.2.0',plain,
% 0.98/1.35 ( ld(i(rd(X1,X2)),X1) = rd(X1,ld(X1,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.297.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_297]).
% 0.98/1.35 cnf('0.298.0.0',plain,
% 0.98/1.35 ( ld(X1,X2) = ld(X2,rd(X2,ld(X2,X1))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.6.2.0','0.296.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.298.1.0',plain,
% 0.98/1.35 ( ld(X1,X2) = ld(X2,rd(X2,ld(X2,X1))) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.298.0.0']),
% 0.98/1.35 [weight('<87,296,6,[0,0,0,2]>')]).
% 0.98/1.35 cnf('0.298.2.0',plain,
% 0.98/1.35 ( ld(X1,rd(X1,ld(X1,X2))) = ld(X2,X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.298.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_298]).
% 0.98/1.35 cnf('0.299.0.0',plain,
% 0.98/1.35 ( ld(mult(X1,X2),X1) = ld(X1,rd(X1,X2)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.298.2.0','0.6.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.2','L')]).
% 0.98/1.35 cnf('0.299.1.0',plain,
% 0.98/1.35 ( ld(mult(X1,X2),X1) = ld(X1,rd(X1,X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.299.0.0']),
% 0.98/1.35 [weight('<65,298,6,[1,0,0,4]>')]).
% 0.98/1.35 cnf('0.299.2.0',plain,
% 0.98/1.35 ( ld(mult(X1,X2),X1) = ld(X1,rd(X1,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.299.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_299]).
% 0.98/1.35 cnf('0.300.0.0',plain,
% 0.98/1.35 ( rd(X1,ld(X1,rd(X1,X2))) = mult(X1,X2) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.296.2.0','0.20.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.300.1.0',plain,
% 0.98/1.35 ( rd(X1,ld(X1,rd(X1,X2))) = mult(X1,X2) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.300.0.0']),
% 0.98/1.35 [weight('<87,296,20,[1,0,0,2]>')]).
% 0.98/1.35 cnf('0.300.2.0',plain,
% 0.98/1.35 ( rd(X1,ld(X1,rd(X1,X2))) = mult(X1,X2) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.300.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_300]).
% 0.98/1.35 cnf('0.301.0.0',plain,
% 0.98/1.35 ( rd(X1,mult(X1,ld(X2,X1))) = i(rd(X1,X2)) ),
% 0.98/1.35 inference(interreduction_right,[status(thm)],['0.291.2.0'])).
% 0.98/1.35 cnf('0.301.0.1',plain,
% 0.98/1.35 ( rd(X1,rd(X1,ld(X1,X2))) = i(rd(X1,X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.301.0.0','0.296.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.301.1.0',plain,
% 0.98/1.35 ( rd(X1,rd(X1,ld(X1,X2))) = i(rd(X1,X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.301.0.1']),
% 0.98/1.35 [weight('<95,291,296,[0,0,0,0]>')]).
% 0.98/1.35 cnf('0.301.2.0',plain,
% 0.98/1.35 ( rd(X1,rd(X1,ld(X1,X2))) = i(rd(X1,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.301.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_301]).
% 0.98/1.35 cnf('0.302.0.0',plain,
% 0.98/1.35 ( rd(X1,ld(X1,ld(X2,X1))) = ld(i(X2),X1) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.297.2.0','0.19.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.1','L')]).
% 0.98/1.35 cnf('0.302.1.0',plain,
% 0.98/1.35 ( rd(X1,ld(X1,ld(X2,X1))) = ld(i(X2),X1) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.302.0.0']),
% 0.98/1.35 [weight('<95,297,19,[1,0,0,2]>')]).
% 0.98/1.35 cnf('0.302.2.0',plain,
% 0.98/1.35 ( rd(X1,ld(X1,ld(X2,X1))) = ld(i(X2),X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.302.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_302]).
% 0.98/1.35 cnf('0.311.0.0',plain,
% 0.98/1.35 ( mult(mult(i(rd(X1,X2)),X2),ld(X2,X1)) = mult(unit,X2) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.290.2.0','0.10.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.311.0.1',plain,
% 0.98/1.35 ( mult(mult(i(rd(X1,X2)),X2),ld(X2,X1)) = X2 ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.311.0.0','0.3.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.311.1.0',plain,
% 0.98/1.35 ( mult(mult(i(rd(X1,X2)),X2),ld(X2,X1)) = X2 ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.311.0.1']),
% 0.98/1.35 [weight('<131,290,10,[1,0,0,1]>')]).
% 0.98/1.35 cnf('0.311.2.0',plain,
% 0.98/1.35 ( mult(mult(i(rd(X1,X2)),X2),ld(X2,X1)) = X2 ),
% 0.98/1.35 inference(orient,[status(thm)],['0.311.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_311]).
% 0.98/1.35 cnf('0.312.0.0',plain,
% 0.98/1.35 ( mult(i(rd(X1,X2)),X2) = rd(X2,ld(X2,X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.5.2.0','0.311.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.312.1.0',plain,
% 0.98/1.35 ( mult(i(rd(X1,X2)),X2) = rd(X2,ld(X2,X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.312.0.0']),
% 0.98/1.35 [weight('<83,311,5,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.312.2.0',plain,
% 0.98/1.35 ( mult(i(rd(X1,X2)),X2) = rd(X2,ld(X2,X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.312.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_312]).
% 0.98/1.35 cnf('0.313.0.0',plain,
% 0.98/1.35 ( i(rd(X1,X2)) = rd(rd(X2,ld(X2,X1)),X2) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.5.2.0','0.312.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.313.1.0',plain,
% 0.98/1.35 ( i(rd(X1,X2)) = rd(rd(X2,ld(X2,X1)),X2) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.313.0.0']),
% 0.98/1.35 [weight('<95,312,5,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.313.2.0',plain,
% 0.98/1.35 ( rd(rd(X1,ld(X1,X2)),X1) = i(rd(X2,X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.313.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_313]).
% 0.98/1.35 cnf('0.314.0.0',plain,
% 0.98/1.35 ( i(rd(mult(X1,X2),X1)) = rd(rd(X1,X2),X1) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.313.2.0','0.6.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.2','L')]).
% 0.98/1.35 cnf('0.314.1.0',plain,
% 0.98/1.35 ( i(rd(mult(X1,X2),X1)) = rd(rd(X1,X2),X1) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.314.0.0']),
% 0.98/1.35 [weight('<83,313,6,[1,0,0,3]>')]).
% 0.98/1.35 cnf('0.314.2.0',plain,
% 0.98/1.35 ( i(rd(mult(X1,X2),X1)) = rd(rd(X1,X2),X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.314.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_314]).
% 0.98/1.35 cnf('0.315.0.0',plain,
% 0.98/1.35 ( i(rd(rd(X1,X2),X1)) = rd(mult(X1,X2),X1) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.313.2.0','0.300.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.315.1.0',plain,
% 0.98/1.35 ( i(rd(rd(X1,X2),X1)) = rd(mult(X1,X2),X1) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.315.0.0']),
% 0.98/1.35 [weight('<83,313,300,[1,0,0,1]>')]).
% 0.98/1.35 cnf('0.315.2.0',plain,
% 0.98/1.35 ( i(rd(rd(X1,X2),X1)) = rd(mult(X1,X2),X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.315.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_315]).
% 0.98/1.35 cnf('0.316.0.0',plain,
% 0.98/1.35 ( i(rd(ld(X1,X2),X2)) = rd(ld(i(X1),X2),X2) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.313.2.0','0.302.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.316.1.0',plain,
% 0.98/1.35 ( i(rd(ld(X1,X2),X2)) = rd(ld(i(X1),X2),X2) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.316.0.0']),
% 0.98/1.35 [weight('<90,313,302,[1,0,0,1]>')]).
% 0.98/1.35 cnf('0.316.2.0',plain,
% 0.98/1.35 ( i(rd(ld(X1,X2),X2)) = rd(ld(i(X1),X2),X2) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.316.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_316]).
% 0.98/1.35 cnf('0.317.0.0',plain,
% 0.98/1.35 ( rd(X1,ld(X1,mult(X2,X1))) = mult(i(X2),X1) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.312.2.0','0.5.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.1','L')]).
% 0.98/1.35 cnf('0.317.1.0',plain,
% 0.98/1.35 ( rd(X1,ld(X1,mult(X2,X1))) = mult(i(X2),X1) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.317.0.0']),
% 0.98/1.35 [weight('<95,312,5,[1,0,0,2]>')]).
% 0.98/1.35 cnf('0.317.2.0',plain,
% 0.98/1.35 ( rd(X1,ld(X1,mult(X2,X1))) = mult(i(X2),X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.317.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_317]).
% 0.98/1.35 cnf('0.319.0.0',plain,
% 0.98/1.35 ( ld(mult(X1,X2),X2) = ld(X2,mult(i(X1),X2)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.298.2.0','0.317.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.319.1.0',plain,
% 0.98/1.35 ( ld(mult(X1,X2),X2) = ld(X2,mult(i(X1),X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.319.0.0']),
% 0.98/1.35 [weight('<83,317,298,[0,0,0,2]>')]).
% 0.98/1.35 cnf('0.319.2.0',plain,
% 0.98/1.35 ( ld(X1,mult(i(X2),X1)) = ld(mult(X2,X1),X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.319.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_319]).
% 0.98/1.35 cnf('0.320.0.0',plain,
% 0.98/1.35 ( mult(i(mult(X1,X2)),X1) = rd(X1,rd(X2,i(X1))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.317.2.0','0.211.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.320.1.0',plain,
% 0.98/1.35 ( mult(i(mult(X1,X2)),X1) = rd(X1,rd(X2,i(X1))) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.320.0.0']),
% 0.98/1.35 [weight('<90,317,211,[1,0,0,2]>')]).
% 0.98/1.35 cnf('0.320.2.0',plain,
% 0.98/1.35 ( mult(i(mult(X1,X2)),X1) = rd(X1,rd(X2,i(X1))) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.320.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_320]).
% 0.98/1.35 cnf('0.324.0.0',plain,
% 0.98/1.35 ( rd(rd(X1,mult(X2,X1)),X1) = i(ld(i(X1),X2)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.314.2.0','0.125.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.324.1.0',plain,
% 0.98/1.35 ( rd(rd(X1,mult(X2,X1)),X1) = i(ld(i(X1),X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.324.0.0']),
% 0.98/1.35 [weight('<103,314,125,[1,0,0,1]>')]).
% 0.98/1.35 cnf('0.324.2.0',plain,
% 0.98/1.35 ( rd(rd(X1,mult(X2,X1)),X1) = i(ld(i(X1),X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.324.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_324]).
% 0.98/1.35 cnf('0.325.0.0',plain,
% 0.98/1.35 ( mult(i(X1),i(X2)) = rd(ld(mult(X2,X1),X1),X1) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.131.2.0','0.319.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.325.1.0',plain,
% 0.98/1.35 ( mult(i(X1),i(X2)) = rd(ld(mult(X2,X1),X1),X1) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.325.0.0']),
% 0.98/1.35 [weight('<103,319,131,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.325.2.0',plain,
% 0.98/1.35 ( rd(ld(mult(X1,X2),X2),X2) = mult(i(X2),i(X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.325.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_325]).
% 0.98/1.35 cnf('0.327.0.0',plain,
% 0.98/1.35 ( ld(X1,ld(i(X1),rd(i(X1),ld(i(X1),X2)))) = rd(i(rd(X2,i(X1))),X1) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.213.2.0','0.313.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.327.0.1',plain,
% 0.98/1.35 ( ld(X1,ld(X2,i(X1))) = rd(i(rd(X2,i(X1))),X1) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.327.0.0','0.298.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.327.1.0',plain,
% 0.98/1.35 ( ld(X1,ld(X2,i(X1))) = rd(i(rd(X2,i(X1))),X1) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.327.0.1']),
% 0.98/1.35 [weight('<111,313,213,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.327.2.0',plain,
% 0.98/1.35 ( rd(i(rd(X1,i(X2))),X2) = ld(X2,ld(X1,i(X2))) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.327.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_327]).
% 0.98/1.35 cnf('0.328.0.0',plain,
% 0.98/1.35 ( rd(rd(i(X1),X2),i(X1)) = i(mult(ld(X1,X2),X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.314.2.0','0.232.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.328.1.0',plain,
% 0.98/1.35 ( rd(rd(i(X1),X2),i(X1)) = i(mult(ld(X1,X2),X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.328.0.0']),
% 0.98/1.35 [weight('<111,314,232,[1,0,0,1]>')]).
% 0.98/1.35 cnf('0.328.2.0',plain,
% 0.98/1.35 ( rd(rd(i(X1),X2),i(X1)) = i(mult(ld(X1,X2),X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.328.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_328]).
% 0.98/1.35 cnf('0.329.0.0',plain,
% 0.98/1.35 ( rd(mult(X1,mult(mult(X2,X2),X1)),X1) = i(rd(ld(X2,i(X2)),X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.315.2.0','0.149.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.1','L')]).
% 0.98/1.35 cnf('0.329.0.1',plain,
% 0.98/1.35 ( ld(i(X1),mult(X2,X2)) = i(rd(ld(X2,i(X2)),X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.329.0.0','0.125.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.329.1.0',plain,
% 0.98/1.35 ( ld(i(X1),mult(X2,X2)) = i(rd(ld(X2,i(X2)),X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.329.0.1']),
% 0.98/1.35 [weight('<111,315,149,[1,0,0,2]>')]).
% 0.98/1.35 cnf('0.329.2.0',plain,
% 0.98/1.35 ( i(rd(ld(X1,i(X1)),X2)) = ld(i(X2),mult(X1,X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.329.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_329]).
% 0.98/1.35 cnf('0.333.0.0',plain,
% 0.98/1.35 ( ld(i(X1),ld(X2,i(i(X1)))) = rd(i(rd(X2,X1)),i(X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.327.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.1.2','L')]).
% 0.98/1.35 cnf('0.333.0.1',plain,
% 0.98/1.35 ( ld(i(X1),ld(X2,X1)) = rd(i(rd(X2,X1)),i(X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.333.0.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.2','L')]).
% 0.98/1.35 cnf('0.333.1.0',plain,
% 0.98/1.35 ( ld(i(X1),ld(X2,X1)) = rd(i(rd(X2,X1)),i(X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.333.0.1']),
% 0.98/1.35 [weight('<111,327,18,[1,0,0,4]>')]).
% 0.98/1.35 cnf('0.333.2.0',plain,
% 0.98/1.35 ( rd(i(rd(X1,X2)),i(X2)) = ld(i(X2),ld(X1,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.333.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_333]).
% 0.98/1.35 cnf('0.334.0.0',plain,
% 0.98/1.35 ( i(mult(ld(X1,mult(mult(X2,X2),i(X1))),X1)) = rd(ld(X2,i(X2)),i(X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.328.2.0','0.149.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.334.0.1',plain,
% 0.98/1.35 ( i(mult(rd(ld(X1,mult(X2,X2)),X1),X1)) = rd(ld(X2,i(X2)),i(X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.334.0.0','0.201.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.1','L')]).
% 0.98/1.35 cnf('0.334.0.2',plain,
% 0.98/1.35 ( i(ld(X1,mult(X2,X2))) = rd(ld(X2,i(X2)),i(X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.334.0.1','0.4.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.334.1.0',plain,
% 0.98/1.35 ( i(ld(X1,mult(X2,X2))) = rd(ld(X2,i(X2)),i(X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.334.0.2']),
% 0.98/1.35 [weight('<111,328,149,[1,0,0,1]>')]).
% 0.98/1.35 cnf('0.334.2.0',plain,
% 0.98/1.35 ( rd(ld(X1,i(X1)),i(X2)) = i(ld(X2,mult(X1,X1))) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.334.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_334]).
% 0.98/1.35 cnf('0.335.0.0',plain,
% 0.98/1.35 ( ld(i(X1),mult(i(X2),i(X2))) = i(rd(ld(i(X2),X2),X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.329.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.1.2','L')]).
% 0.98/1.35 cnf('0.335.0.1',plain,
% 0.98/1.35 ( ld(i(X1),ld(X2,i(X2))) = i(rd(ld(i(X2),X2),X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.335.0.0','0.53.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.335.0.2',plain,
% 0.98/1.35 ( ld(i(X1),ld(X2,i(X2))) = i(rd(mult(X2,X2),X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.335.0.1','0.48.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.1.1','L')]).
% 0.98/1.35 cnf('0.335.1.0',plain,
% 0.98/1.35 ( ld(i(X1),ld(X2,i(X2))) = i(rd(mult(X2,X2),X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.335.0.2']),
% 0.98/1.35 [weight('<111,329,18,[1,0,0,4]>')]).
% 0.98/1.35 cnf('0.335.2.0',plain,
% 0.98/1.35 ( ld(i(X1),ld(X2,i(X2))) = i(rd(mult(X2,X2),X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.335.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_335]).
% 0.98/1.35 cnf('0.360.0.0',plain,
% 0.98/1.35 ( i(ld(i(X1),i(rd(X2,X1)))) = rd(rd(X1,rd(X1,ld(X1,X2))),X1) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.324.2.0','0.312.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.2','L')]).
% 0.98/1.35 cnf('0.360.0.1',plain,
% 0.98/1.35 ( i(ld(i(X1),i(rd(X2,X1)))) = rd(i(rd(X1,X2)),X1) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.360.0.0','0.301.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.1','L')]).
% 0.98/1.35 cnf('0.360.1.0',plain,
% 0.98/1.35 ( i(ld(i(X1),i(rd(X2,X1)))) = rd(i(rd(X1,X2)),X1) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.360.0.1']),
% 0.98/1.35 [weight('<134,324,312,[1,0,0,3]>')]).
% 0.98/1.35 cnf('0.360.2.0',plain,
% 0.98/1.35 ( i(ld(i(X1),i(rd(X2,X1)))) = rd(i(rd(X1,X2)),X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.360.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_360]).
% 0.98/1.35 cnf('0.364.0.0',plain,
% 0.98/1.35 ( rd(ld(i(mult(X1,X2)),X2),X2) = i(mult(i(X2),i(X1))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.316.2.0','0.325.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.364.1.0',plain,
% 0.98/1.35 ( rd(ld(i(mult(X1,X2)),X2),X2) = i(mult(i(X2),i(X1))) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.364.0.0']),
% 0.98/1.35 [weight('<134,325,316,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.364.2.0',plain,
% 0.98/1.35 ( rd(ld(i(mult(X1,X2)),X2),X2) = i(mult(i(X2),i(X1))) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.364.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_364]).
% 0.98/1.35 cnf('0.402.0.0',plain,
% 0.98/1.35 ( mult(X1,mult(ld(X2,X1),X1)) = rd(rd(X1,ld(X1,X2)),i(X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.206.2.0','0.296.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.402.1.0',plain,
% 0.98/1.35 ( mult(X1,mult(ld(X2,X1),X1)) = rd(rd(X1,ld(X1,X2)),i(X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.402.0.0']),
% 0.98/1.35 [weight('<143,296,206,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.402.2.0',plain,
% 0.98/1.35 ( rd(rd(X1,ld(X1,X2)),i(X1)) = mult(X1,mult(ld(X2,X1),X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.402.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_402]).
% 0.98/1.35 cnf('0.411.0.0',plain,
% 0.98/1.35 ( ld(X1,rd(ld(X1,rd(X1,ld(X1,X2))),X1)) = ld(mult(X1,X1),i(rd(X2,X1))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.181.2.0','0.313.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.411.0.1',plain,
% 0.98/1.35 ( ld(X1,rd(ld(X2,X1),X1)) = ld(mult(X1,X1),i(rd(X2,X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.411.0.0','0.298.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.1','L')]).
% 0.98/1.35 cnf('0.411.1.0',plain,
% 0.98/1.35 ( ld(X1,rd(ld(X2,X1),X1)) = ld(mult(X1,X1),i(rd(X2,X1))) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.411.0.1']),
% 0.98/1.35 [weight('<143,313,181,[0,0,0,4]>')]).
% 0.98/1.35 cnf('0.411.2.0',plain,
% 0.98/1.35 ( ld(mult(X1,X1),i(rd(X2,X1))) = ld(X1,rd(ld(X2,X1),X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.411.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_411]).
% 0.98/1.35 cnf('0.426.0.0',plain,
% 0.98/1.35 ( mult(mult(X1,ld(X2,i(X2))),X1) = rd(i(rd(mult(X2,X2),X1)),i(X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.235.2.0','0.335.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.426.0.1',plain,
% 0.98/1.35 ( mult(rd(X1,mult(X2,X2)),X1) = rd(i(rd(mult(X2,X2),X1)),i(X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.426.0.0','0.224.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.426.0.2',plain,
% 0.98/1.35 ( mult(rd(X1,mult(X2,X2)),X1) = ld(i(X1),ld(mult(X2,X2),X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.426.0.1','0.333.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.426.1.0',plain,
% 0.98/1.35 ( mult(rd(X1,mult(X2,X2)),X1) = ld(i(X1),ld(mult(X2,X2),X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.426.0.2']),
% 0.98/1.35 [weight('<143,335,235,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.426.2.0',plain,
% 0.98/1.35 ( ld(i(X1),ld(mult(X2,X2),X1)) = mult(rd(X1,mult(X2,X2)),X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.426.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_426]).
% 0.98/1.35 cnf('0.432.0.0',plain,
% 0.98/1.35 ( mult(rd(mult(mult(X1,X1),X2),mult(X1,X1)),mult(mult(X1,X1),X2)) = ld(i(mult(mult(X1,X1),X2)),X2) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.426.2.0','0.6.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.432.0.1',plain,
% 0.98/1.35 ( mult(mult(X1,X1),mult(ld(mult(X1,X1),mult(mult(X1,X1),X2)),X2)) = ld(i(mult(mult(X1,X1),X2)),X2) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.432.0.0','0.287.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.432.0.2',plain,
% 0.98/1.35 ( mult(mult(X1,X1),mult(X2,X2)) = ld(i(mult(mult(X1,X1),X2)),X2) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.432.0.1','0.6.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.1','L')]).
% 0.98/1.35 cnf('0.432.1.0',plain,
% 0.98/1.35 ( mult(mult(X1,X1),mult(X2,X2)) = ld(i(mult(mult(X1,X1),X2)),X2) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.432.0.2']),
% 0.98/1.35 [weight('<143,426,6,[1,0,0,3]>')]).
% 0.98/1.35 cnf('0.432.2.0',plain,
% 0.98/1.35 ( ld(i(mult(mult(X1,X1),X2)),X2) = mult(mult(X1,X1),mult(X2,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.432.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_432]).
% 0.98/1.35 cnf('0.433.0.0',plain,
% 0.98/1.35 ( i(mult(i(X1),i(mult(X2,X2)))) = rd(mult(mult(X2,X2),mult(X1,X1)),X1) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.364.2.0','0.432.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.433.0.1',plain,
% 0.98/1.35 ( i(mult(i(X1),ld(X2,i(X2)))) = rd(mult(mult(X2,X2),mult(X1,X1)),X1) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.433.0.0','0.51.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.2','L')]).
% 0.98/1.35 cnf('0.433.0.2',plain,
% 0.98/1.35 ( i(rd(i(X1),mult(X2,X2))) = rd(mult(mult(X2,X2),mult(X1,X1)),X1) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.433.0.1','0.224.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.433.0.3',plain,
% 0.98/1.35 ( i(rd(i(X1),mult(X2,X2))) = rd(mult(X2,X2),i(X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.433.0.2','0.215.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.433.1.0',plain,
% 0.98/1.35 ( i(rd(i(X1),mult(X2,X2))) = rd(mult(X2,X2),i(X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.433.0.3']),
% 0.98/1.35 [weight('<111,432,364,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.433.2.0',plain,
% 0.98/1.35 ( i(rd(i(X1),mult(X2,X2))) = rd(mult(X2,X2),i(X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.433.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_433]).
% 0.98/1.35 cnf('0.434.0.0',plain,
% 0.98/1.35 ( rd(mult(X1,X1),i(i(X2))) = i(rd(X2,mult(X1,X1))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.433.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.1','L')]).
% 0.98/1.35 cnf('0.434.0.1',plain,
% 0.98/1.35 ( rd(mult(X1,X1),X2) = i(rd(X2,mult(X1,X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.434.0.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.434.1.0',plain,
% 0.98/1.35 ( rd(mult(X1,X1),X2) = i(rd(X2,mult(X1,X1))) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.434.0.1']),
% 0.98/1.35 [weight('<83,433,18,[1,0,0,2]>')]).
% 0.98/1.35 cnf('0.434.2.0',plain,
% 0.98/1.35 ( i(rd(X1,mult(X2,X2))) = rd(mult(X2,X2),X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.434.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_434]).
% 0.98/1.35 cnf('0.435.0.0',plain,
% 0.98/1.35 ( rd(X1,mult(X2,X2)) = i(rd(mult(X2,X2),X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.18.2.0','0.434.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.435.1.0',plain,
% 0.98/1.35 ( rd(X1,mult(X2,X2)) = i(rd(mult(X2,X2),X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.435.0.0']),
% 0.98/1.35 [weight('<83,434,18,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.435.2.0',plain,
% 0.98/1.35 ( i(rd(mult(X1,X1),X2)) = rd(X2,mult(X1,X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.435.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_435]).
% 0.98/1.35 cnf('0.436.0.0',plain,
% 0.98/1.35 ( rd(X1,mult(i(X2),i(X2))) = i(rd(ld(X2,i(X2)),X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.435.2.0','0.53.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.1','L')]).
% 0.98/1.35 cnf('0.436.0.1',plain,
% 0.98/1.35 ( rd(X1,ld(X2,i(X2))) = i(rd(ld(X2,i(X2)),X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.436.0.0','0.53.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.436.0.2',plain,
% 0.98/1.35 ( mult(X1,mult(X2,X2)) = i(rd(ld(X2,i(X2)),X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.436.0.1','0.222.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.436.0.3',plain,
% 0.98/1.35 ( mult(X1,mult(X2,X2)) = ld(i(X1),mult(X2,X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.436.0.2','0.329.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.436.1.0',plain,
% 0.98/1.35 ( mult(X1,mult(X2,X2)) = ld(i(X1),mult(X2,X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.436.0.3']),
% 0.98/1.35 [weight('<83,435,53,[1,0,0,2]>')]).
% 0.98/1.35 cnf('0.436.2.0',plain,
% 0.98/1.35 ( ld(i(X1),mult(X2,X2)) = mult(X1,mult(X2,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.436.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_436]).
% 0.98/1.35 cnf('0.439.0.0',plain,
% 0.98/1.35 ( mult(mult(X1,X1),i(i(X2))) = mult(i(X2),rd(mult(X2,mult(X1,X1)),i(X2))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.220.2.0','0.436.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.1','L')]).
% 0.98/1.35 cnf('0.439.0.1',plain,
% 0.98/1.35 ( mult(mult(X1,X1),X2) = mult(i(X2),rd(mult(X2,mult(X1,X1)),i(X2))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.439.0.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.439.0.2',plain,
% 0.98/1.35 ( mult(mult(X1,X1),X2) = ld(X2,mult(mult(X2,mult(X1,X1)),X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.439.0.1','0.233.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.439.0.3',plain,
% 0.98/1.35 ( mult(mult(X1,X1),X2) = rd(mult(X1,X1),i(X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.439.0.2','0.211.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.439.1.0',plain,
% 0.98/1.35 ( mult(mult(X1,X1),X2) = rd(mult(X1,X1),i(X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.439.0.3']),
% 0.98/1.35 [weight('<83,436,220,[0,0,0,3]>')]).
% 0.98/1.35 cnf('0.439.2.0',plain,
% 0.98/1.35 ( rd(mult(X1,X1),i(X2)) = mult(mult(X1,X1),X2) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.439.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_439]).
% 0.98/1.35 cnf('0.441.0.0',plain,
% 0.98/1.35 ( mult(mult(i(X1),i(X1)),X2) = rd(ld(X1,i(X1)),i(X2)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.439.2.0','0.53.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.441.0.1',plain,
% 0.98/1.35 ( mult(ld(X1,i(X1)),X2) = rd(ld(X1,i(X1)),i(X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.441.0.0','0.53.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.441.0.2',plain,
% 0.98/1.35 ( ld(mult(X1,X1),X2) = rd(ld(X1,i(X1)),i(X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.441.0.1','0.144.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.441.0.3',plain,
% 0.98/1.35 ( ld(mult(X1,X1),X2) = i(ld(X2,mult(X1,X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.441.0.2','0.334.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.441.1.0',plain,
% 0.98/1.35 ( ld(mult(X1,X1),X2) = i(ld(X2,mult(X1,X1))) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.441.0.3']),
% 0.98/1.35 [weight('<83,439,53,[1,0,0,1]>')]).
% 0.98/1.35 cnf('0.441.2.0',plain,
% 0.98/1.35 ( i(ld(X1,mult(X2,X2))) = ld(mult(X2,X2),X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.441.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_441]).
% 0.98/1.35 cnf('0.446.0.0',plain,
% 0.98/1.35 ( ld(mult(X1,X1),i(X2)) = i(mult(X2,mult(X1,X1))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.441.2.0','0.436.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.446.1.0',plain,
% 0.98/1.35 ( ld(mult(X1,X1),i(X2)) = i(mult(X2,mult(X1,X1))) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.446.0.0']),
% 0.98/1.35 [weight('<90,441,436,[1,0,0,1]>')]).
% 0.98/1.35 cnf('0.446.2.0',plain,
% 0.98/1.35 ( i(mult(X1,mult(X2,X2))) = ld(mult(X2,X2),i(X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.446.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_446]).
% 0.98/1.35 cnf('0.449.0.0',plain,
% 0.98/1.35 ( rd(mult(X1,X1),mult(X2,X1)) = i(mult(X2,i(X1))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.434.2.0','0.228.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.449.1.0',plain,
% 0.98/1.35 ( rd(mult(X1,X1),mult(X2,X1)) = i(mult(X2,i(X1))) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.449.0.0']),
% 0.98/1.35 [weight('<103,434,228,[1,0,0,1]>')]).
% 0.98/1.35 cnf('0.449.2.0',plain,
% 0.98/1.35 ( rd(mult(X1,X1),mult(X2,X1)) = i(mult(X2,i(X1))) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.449.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_449]).
% 0.98/1.35 cnf('0.453.0.0',plain,
% 0.98/1.35 ( ld(mult(X1,X1),i(rd(X2,X1))) = i(mult(X1,mult(ld(X1,X2),X1))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.446.2.0','0.287.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.453.0.1',plain,
% 0.98/1.35 ( ld(X1,rd(ld(X2,X1),X1)) = i(mult(X1,mult(ld(X1,X2),X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.453.0.0','0.411.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.453.0.2',plain,
% 0.98/1.35 ( ld(X1,rd(ld(X2,X1),X1)) = i(rd(X2,i(X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.453.0.1','0.214.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.1','L')]).
% 0.98/1.35 cnf('0.453.1.0',plain,
% 0.98/1.35 ( ld(X1,rd(ld(X2,X1),X1)) = i(rd(X2,i(X1))) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.453.0.2']),
% 0.98/1.35 [weight('<103,446,287,[1,0,0,1]>')]).
% 0.98/1.35 cnf('0.453.2.0',plain,
% 0.98/1.35 ( ld(X1,rd(ld(X2,X1),X1)) = i(rd(X2,i(X1))) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.453.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_453]).
% 0.98/1.35 cnf('0.455.0.0',plain,
% 0.98/1.35 ( mult(rd(ld(X1,X2),X2),i(X2)) = mult(X2,rd(i(rd(X1,i(X2))),X2)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.220.2.0','0.453.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.1','L')]).
% 0.98/1.35 cnf('0.455.0.1',plain,
% 0.98/1.35 ( rd(ld(X1,X2),mult(X2,X2)) = mult(X2,rd(i(rd(X1,i(X2))),X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.455.0.0','0.225.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.455.0.2',plain,
% 0.98/1.35 ( rd(ld(X1,X2),mult(X2,X2)) = mult(X2,ld(X2,ld(X1,i(X2)))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.455.0.1','0.327.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.2','L')]).
% 0.98/1.35 cnf('0.455.0.3',plain,
% 0.98/1.35 ( rd(ld(X1,X2),mult(X2,X2)) = ld(X1,i(X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.455.0.2','0.1.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.455.1.0',plain,
% 0.98/1.35 ( rd(ld(X1,X2),mult(X2,X2)) = ld(X1,i(X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.455.0.3']),
% 0.98/1.35 [weight('<95,453,220,[0,0,0,3]>')]).
% 0.98/1.35 cnf('0.455.2.0',plain,
% 0.98/1.35 ( rd(ld(X1,X2),mult(X2,X2)) = ld(X1,i(X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.455.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_455]).
% 0.98/1.35 cnf('0.456.0.0',plain,
% 0.98/1.35 ( ld(rd(X1,X2),i(X1)) = rd(X2,mult(X1,X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.455.2.0','0.20.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.456.1.0',plain,
% 0.98/1.35 ( ld(rd(X1,X2),i(X1)) = rd(X2,mult(X1,X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.456.0.0']),
% 0.98/1.35 [weight('<83,455,20,[1,0,0,1]>')]).
% 0.98/1.35 cnf('0.456.2.0',plain,
% 0.98/1.35 ( ld(rd(X1,X2),i(X1)) = rd(X2,mult(X1,X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.456.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_456]).
% 0.98/1.35 cnf('0.457.0.0',plain,
% 0.98/1.35 ( rd(X1,mult(i(X2),i(X2))) = ld(rd(i(X2),X1),X2) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.456.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.457.0.1',plain,
% 0.98/1.35 ( rd(X1,ld(X2,i(X2))) = ld(rd(i(X2),X1),X2) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.457.0.0','0.53.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.457.0.2',plain,
% 0.98/1.35 ( mult(X1,mult(X2,X2)) = ld(rd(i(X2),X1),X2) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.457.0.1','0.222.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.457.1.0',plain,
% 0.98/1.35 ( mult(X1,mult(X2,X2)) = ld(rd(i(X2),X1),X2) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.457.0.2']),
% 0.98/1.35 [weight('<83,456,18,[1,0,0,4]>')]).
% 0.98/1.35 cnf('0.457.2.0',plain,
% 0.98/1.35 ( ld(rd(i(X1),X2),X1) = mult(X2,mult(X1,X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.457.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_457]).
% 0.98/1.35 cnf('0.460.0.0',plain,
% 0.98/1.35 ( rd(i(X1),X2) = rd(X1,mult(X2,mult(X1,X1))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.19.2.0','0.457.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.460.1.0',plain,
% 0.98/1.35 ( rd(i(X1),X2) = rd(X1,mult(X2,mult(X1,X1))) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.460.0.0']),
% 0.98/1.35 [weight('<95,457,19,[0,0,0,2]>')]).
% 0.98/1.35 cnf('0.460.2.0',plain,
% 0.98/1.35 ( rd(X1,mult(X2,mult(X1,X1))) = rd(i(X1),X2) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.460.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_460]).
% 0.98/1.35 cnf('0.464.0.0',plain,
% 0.98/1.35 ( i(rd(rd(X1,X2),i(X1))) = ld(X1,rd(X2,X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.453.2.0','0.20.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2.1','L')]).
% 0.98/1.35 cnf('0.464.1.0',plain,
% 0.98/1.35 ( i(rd(rd(X1,X2),i(X1))) = ld(X1,rd(X2,X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.464.0.0']),
% 0.98/1.35 [weight('<103,453,20,[1,0,0,3]>')]).
% 0.98/1.35 cnf('0.464.2.0',plain,
% 0.98/1.35 ( i(rd(rd(X1,X2),i(X1))) = ld(X1,rd(X2,X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.464.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_464]).
% 0.98/1.35 cnf('0.465.0.0',plain,
% 0.98/1.35 ( rd(rd(X1,X2),i(X1)) = i(ld(X1,rd(X2,X1))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.18.2.0','0.464.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.465.1.0',plain,
% 0.98/1.35 ( rd(rd(X1,X2),i(X1)) = i(ld(X1,rd(X2,X1))) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.465.0.0']),
% 0.98/1.35 [weight('<90,464,18,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.465.2.0',plain,
% 0.98/1.35 ( i(ld(X1,rd(X2,X1))) = rd(rd(X1,X2),i(X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.465.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_465]).
% 0.98/1.35 cnf('0.466.0.0',plain,
% 0.98/1.35 ( rd(rd(i(X1),X2),i(i(X1))) = i(mult(X1,mult(X2,X1))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.465.2.0','0.236.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.466.0.1',plain,
% 0.98/1.35 ( rd(rd(i(X1),X2),X1) = i(mult(X1,mult(X2,X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.466.0.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.466.1.0',plain,
% 0.98/1.35 ( rd(rd(i(X1),X2),X1) = i(mult(X1,mult(X2,X1))) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.466.0.1']),
% 0.98/1.35 [weight('<90,465,236,[1,0,0,1]>')]).
% 0.98/1.35 cnf('0.466.2.0',plain,
% 0.98/1.35 ( i(mult(X1,mult(X2,X1))) = rd(rd(i(X1),X2),X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.466.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_466]).
% 0.98/1.35 cnf('0.474.0.0',plain,
% 0.98/1.35 ( ld(i(X1),rd(X2,i(X1))) = i(rd(rd(i(X1),X2),X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.464.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.2','L')]).
% 0.98/1.35 cnf('0.474.0.1',plain,
% 0.98/1.35 ( mult(X1,mult(X2,X1)) = i(rd(rd(i(X1),X2),X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.474.0.0','0.236.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.474.1.0',plain,
% 0.98/1.35 ( mult(X1,mult(X2,X1)) = i(rd(rd(i(X1),X2),X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.474.0.1']),
% 0.98/1.35 [weight('<103,464,18,[1,0,0,5]>')]).
% 0.98/1.35 cnf('0.474.2.0',plain,
% 0.98/1.35 ( i(rd(rd(i(X1),X2),X1)) = mult(X1,mult(X2,X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.474.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_474]).
% 0.98/1.35 cnf('0.479.0.0',plain,
% 0.98/1.35 ( mult(i(X1),ld(X2,X1)) = mult(i(rd(X2,i(X1))),X1) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.134.2.0','0.453.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.479.1.0',plain,
% 0.98/1.35 ( mult(i(X1),ld(X2,X1)) = mult(i(rd(X2,i(X1))),X1) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.479.0.0']),
% 0.98/1.35 [weight('<111,453,134,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.479.2.0',plain,
% 0.98/1.35 ( mult(i(rd(X1,i(X2))),X2) = mult(i(X2),ld(X1,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.479.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_479]).
% 0.98/1.35 cnf('0.480.0.0',plain,
% 0.98/1.35 ( mult(i(X1),ld(rd(X1,ld(X1,X2)),X1)) = mult(i(mult(X1,mult(ld(X2,X1),X1))),X1) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.479.2.0','0.402.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.1','L')]).
% 0.98/1.35 cnf('0.480.0.1',plain,
% 0.98/1.35 ( mult(i(X1),ld(X1,X2)) = mult(i(mult(X1,mult(ld(X2,X1),X1))),X1) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.480.0.0','0.20.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.480.0.2',plain,
% 0.98/1.35 ( ld(mult(X1,X1),X2) = mult(i(mult(X1,mult(ld(X2,X1),X1))),X1) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.480.0.1','0.143.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.480.0.3',plain,
% 0.98/1.35 ( ld(mult(X1,X1),X2) = rd(X1,rd(mult(ld(X2,X1),X1),i(X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.480.0.2','0.320.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.480.0.4',plain,
% 0.98/1.35 ( ld(mult(X1,X1),X2) = rd(X1,mult(ld(X2,X1),mult(X1,X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.480.0.3','0.198.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.2','L')]).
% 0.98/1.35 cnf('0.480.0.5',plain,
% 0.98/1.35 ( ld(mult(X1,X1),X2) = rd(i(X1),ld(X2,X1)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.480.0.4','0.460.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.480.1.0',plain,
% 0.98/1.35 ( ld(mult(X1,X1),X2) = rd(i(X1),ld(X2,X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.480.0.5']),
% 0.98/1.35 [weight('<83,479,402,[1,0,0,2]>')]).
% 0.98/1.35 cnf('0.480.2.0',plain,
% 0.98/1.35 ( rd(i(X1),ld(X2,X1)) = ld(mult(X1,X1),X2) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.480.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_480]).
% 0.98/1.35 cnf('0.499.0.0',plain,
% 0.98/1.35 ( rd(i(rd(X1,rd(i(X1),X2))),X1) = i(ld(i(X1),mult(X1,mult(X2,X1)))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.360.2.0','0.474.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.2','L')]).
% 0.98/1.35 cnf('0.499.0.1',plain,
% 0.98/1.35 ( rd(i(rd(X1,rd(i(X1),X2))),X1) = i(mult(mult(X1,X1),mult(X2,X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.499.0.0','0.114.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.1','L')]).
% 0.98/1.35 cnf('0.499.0.2',plain,
% 0.98/1.35 ( rd(i(rd(X1,rd(i(X1),X2))),X1) = i(mult(X1,mult(mult(X1,X2),X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.499.0.1','0.35.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.1','L')]).
% 0.98/1.35 cnf('0.499.0.3',plain,
% 0.98/1.35 ( rd(i(rd(X1,rd(i(X1),X2))),X1) = rd(rd(i(X1),mult(X1,X2)),X1) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.499.0.2','0.466.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.499.1.0',plain,
% 0.98/1.35 ( i(rd(X1,rd(i(X1),X2))) = rd(i(X1),mult(X1,X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.499.0.3']),
% 0.98/1.35 [weight('<111,474,360,[0,0,0,4]>')]).
% 0.98/1.35 cnf('0.499.2.0',plain,
% 0.98/1.35 ( i(rd(X1,rd(i(X1),X2))) = rd(i(X1),mult(X1,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.499.1.0',theory(equality)]),
% 0.98/1.35 [u,rule_499]).
% 0.98/1.35 cnf('0.504.0.0',plain,
% 0.98/1.35 ( rd(i(i(X1)),mult(i(X1),X2)) = i(rd(i(X1),rd(X1,X2))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.499.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.2.1','L')]).
% 0.98/1.35 cnf('0.504.0.1',plain,
% 0.98/1.35 ( rd(X1,mult(i(X1),X2)) = i(rd(i(X1),rd(X1,X2))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.504.0.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.504.1.0',plain,
% 0.98/1.35 ( rd(X1,mult(i(X1),X2)) = i(rd(i(X1),rd(X1,X2))) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.504.0.1']),
% 0.98/1.35 [weight('<111,499,18,[1,0,0,4]>')]).
% 0.98/1.35 cnf('0.504.2.0',plain,
% 0.98/1.35 ( i(rd(i(X1),rd(X1,X2))) = rd(X1,mult(i(X1),X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.504.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_504]).
% 0.98/1.35 cnf('0.517.0.0',plain,
% 0.98/1.35 ( ld(mult(X1,X1),mult(X1,X2)) = rd(i(X1),ld(X1,rd(X1,X2))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.480.2.0','0.299.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.517.0.1',plain,
% 0.98/1.35 ( mult(i(X1),X2) = rd(i(X1),ld(X1,rd(X1,X2))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.517.0.0','0.147.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.517.1.0',plain,
% 0.98/1.35 ( mult(i(X1),X2) = rd(i(X1),ld(X1,rd(X1,X2))) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.517.0.1']),
% 0.98/1.35 [weight('<116,480,299,[1,0,0,3]>')]).
% 0.98/1.35 cnf('0.517.2.0',plain,
% 0.98/1.35 ( rd(i(X1),ld(X1,rd(X1,X2))) = mult(i(X1),X2) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.517.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_517]).
% 0.98/1.35 cnf('0.580.0.0',plain,
% 0.98/1.35 ( mult(X1,X1) = mult(i(mult(X2,i(X1))),mult(X2,X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.4.2.0','0.449.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.580.1.0',plain,
% 0.98/1.35 ( mult(X1,X1) = mult(i(mult(X2,i(X1))),mult(X2,X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.580.0.0']),
% 0.98/1.35 [weight('<129,449,4,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.580.2.0',plain,
% 0.98/1.35 ( mult(i(mult(X1,i(X2))),mult(X1,X2)) = mult(X2,X2) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.580.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_580]).
% 0.98/1.35 cnf('0.581.0.0',plain,
% 0.98/1.35 ( mult(X1,X1) = mult(i(mult(ld(i(X1),X2),i(X1))),mult(X1,mult(X2,X1))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.580.2.0','0.110.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.581.0.1',plain,
% 0.98/1.35 ( mult(X1,X1) = mult(i(rd(mult(X1,X2),X1)),mult(X1,mult(X2,X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.581.0.0','0.234.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.1.1','L')]).
% 0.98/1.35 cnf('0.581.0.2',plain,
% 0.98/1.35 ( mult(X1,X1) = mult(rd(rd(X1,X2),X1),mult(X1,mult(X2,X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.581.0.1','0.314.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.1','L')]).
% 0.98/1.35 cnf('0.581.0.3',plain,
% 0.98/1.35 ( mult(X1,X1) = mult(X1,mult(ld(X1,rd(X1,X2)),mult(X2,X1))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.581.0.2','0.287.2.0',theory(equality)]),
% 0.98/1.35 [pos('R','L')]).
% 0.98/1.35 cnf('0.581.1.0',plain,
% 0.98/1.35 ( X1 = mult(ld(X1,rd(X1,X2)),mult(X2,X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.581.0.3']),
% 0.98/1.35 [weight('<109,580,110,[1,0,0,6]>')]).
% 0.98/1.35 cnf('0.581.2.0',plain,
% 0.98/1.35 ( mult(ld(X1,rd(X1,X2)),mult(X2,X1)) = X1 ),
% 0.98/1.35 inference(orient,[status(thm)],['0.581.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_581]).
% 0.98/1.35 cnf('0.582.0.0',plain,
% 0.98/1.35 ( ld(X1,rd(X1,X2)) = rd(X1,mult(X2,X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.5.2.0','0.581.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1','L')]).
% 0.98/1.35 cnf('0.582.1.0',plain,
% 0.98/1.35 ( ld(X1,rd(X1,X2)) = rd(X1,mult(X2,X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.582.0.0']),
% 0.98/1.35 [weight('<65,581,5,[0,0,0,1]>')]).
% 0.98/1.35 cnf('0.582.2.0',plain,
% 0.98/1.35 ( rd(X1,mult(X2,X1)) = ld(X1,rd(X1,X2)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.582.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_582]).
% 0.98/1.35 cnf('0.583.0.0',plain,
% 0.98/1.35 ( rd(X1,mult(i(X1),mult(X2,X1))) = i(rd(i(X1),ld(X1,rd(X1,X2)))) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.504.2.0','0.582.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.2','L')]).
% 0.98/1.35 cnf('0.583.0.1',plain,
% 0.98/1.35 ( rd(X1,mult(ld(X1,X2),X1)) = i(rd(i(X1),ld(X1,rd(X1,X2)))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.583.0.0','0.132.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('0.583.0.2',plain,
% 0.98/1.35 ( ld(X1,rd(X1,ld(X1,X2))) = i(rd(i(X1),ld(X1,rd(X1,X2)))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.583.0.1','0.582.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.583.0.3',plain,
% 0.98/1.35 ( ld(X2,X1) = i(rd(i(X1),ld(X1,rd(X1,X2)))) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.583.0.2','0.298.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('0.583.0.4',plain,
% 0.98/1.35 ( ld(X2,X1) = i(mult(i(X1),X2)) ),
% 0.98/1.35 inference(reduction,[status(thm)],['0.583.0.3','0.517.2.0',theory(equality)]),
% 0.98/1.35 [pos('R.1','L')]).
% 0.98/1.35 cnf('0.583.1.0',plain,
% 0.98/1.35 ( ld(X2,X1) = i(mult(i(X1),X2)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.583.0.4']),
% 0.98/1.35 [weight('<53,582,504,[0,0,0,4]>')]).
% 0.98/1.35 cnf('0.583.2.0',plain,
% 0.98/1.35 ( i(mult(i(X1),X2)) = ld(X2,X1) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.583.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_583]).
% 0.98/1.35 cnf('0.585.0.0',plain,
% 0.98/1.35 ( ld(X1,i(X2)) = i(mult(X2,X1)) ),
% 0.98/1.35 inference(cp,[status(thm)],['0.583.2.0','0.18.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.1.1','L')]).
% 0.98/1.35 cnf('0.585.1.0',plain,
% 0.98/1.35 ( ld(X1,i(X2)) = i(mult(X2,X1)) ),
% 0.98/1.35 inference(weigh,[status(thm)],['0.585.0.0']),
% 0.98/1.35 [weight('<44,583,18,[1,0,0,2]>')]).
% 0.98/1.35 cnf('0.585.2.0',plain,
% 0.98/1.35 ( i(mult(X1,X2)) = ld(X2,i(X1)) ),
% 0.98/1.35 inference(orient,[status(thm)],['0.585.1.0',theory(equality)]),
% 0.98/1.35 [x,rule_585]).
% 0.98/1.35 cnf('1.0.0.0',conjecture,
% 0.98/1.35 ( mult(a,i(mult(b,a))) = i(b) ),
% 0.98/1.35 file('/tmp/WALDMEISTER_865_n005',conjecture_1)).
% 0.98/1.35 cnf('1.0.0.1',plain,
% 0.98/1.35 ( mult(a,ld(a,i(b))) = i(b) ),
% 0.98/1.35 inference(reduction,[status(thm)],['1.0.0.0','0.585.2.0',theory(equality)]),
% 0.98/1.35 [pos('L.2','L')]).
% 0.98/1.35 cnf('1.0.0.2',plain,
% 0.98/1.35 ( i(b) = i(b) ),
% 0.98/1.35 inference(reduction,[status(thm)],['1.0.0.1','0.1.2.0',theory(equality)]),
% 0.98/1.35 [pos('L','L')]).
% 0.98/1.35 cnf('1.0.0.3',plain,
% 0.98/1.35 ( $true ),
% 0.98/1.35 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.98/1.35 [conjecture_1]).
% 0.98/1.35
% 0.98/1.35 Proved Goals:
% 0.98/1.35 No. 1: mult(a,i(mult(b,a))) ?= i(b) joined, current: i(b) = i(b)
% 0.98/1.35 1 goal was specified, which was proved.
% 0.98/1.35 % SZS output end CNFRefutation
% 0.98/1.35 #END OF PROOF
% 0.98/1.35
% 0.98/1.35 Problem WALDMEISTER_865_n005
% 0.98/1.35 CPs.gen 76953
% 0.98/1.35 CPs.reexp 0
% 0.98/1.35 Select 2047
% 0.98/1.35 R 585
% 0.98/1.35 E 0
% 0.98/1.35 vsize 6.6M
% 0.98/1.35 rss 4.1M
% 0.98/1.35 process.time 0.344s
% 0.98/1.35 wallclock.time 0.344s
% 0.98/1.35 status S
% 0.98/1.35
% 0.98/1.35
% 0.98/1.35 Waldmeister states: Goal proved.
% 0.98/1.35 % SZS status Unsatisfiable
%------------------------------------------------------------------------------