TSTP Solution File: GRP662-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP662-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.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 12:27:38 EDT 2022
% Result : Unsatisfiable 52.76s 53.13s
% Output : CNFRefutation 52.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP662-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 08:36:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.68/1.07 ********************************************************************************
% 0.68/1.07 * W A L D M E I S T E R \| \ / \|/ *
% 0.68/1.07 * |/ | \/ | *
% 0.68/1.07 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.68/1.07 * A. Jaeger and B. Loechner | | *
% 0.68/1.07 * <waldmeister@informatik.uni-kl.de> | *
% 0.68/1.07 ********************************************************************************
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 Goals:
% 0.68/1.07 ------
% 0.68/1.07
% 0.68/1.07 ( 1) mult(mult(a,mult(op_d,op_c)),b) ?=? mult(a,mult(mult(op_d,op_c),b))
% 0.68/1.07
% 0.68/1.07 Detected structure: Loop
% 0.68/1.07 ********************************************************************************
% 0.68/1.07 ****************************** COMPLETION - PROOF ******************************
% 0.68/1.07 ********************************************************************************
% 0.68/1.07
% 52.76/53.13 joined goal: 1 mult(mult(a,mult(op_d,op_c)),b) ?= mult(a,mult(mult(op_d,op_c),b)) to mult(a,mult(mult(op_d,op_c),b))
% 52.76/53.13 goal joined
% 52.76/53.13 % SZS status Unsatisfiable
% 52.76/53.13 #START OF PROOF
% 52.76/53.13 % SZS output start CNFRefutation
% 52.76/53.13 cnf('0.1.0.0',axiom,
% 52.76/53.13 ( X1 = mult(X2,ld(X2,X1)) ),
% 52.76/53.13 file('/tmp/WALDMEISTER_24657_n020')).
% 52.76/53.13 cnf('0.1.1.0',plain,
% 52.76/53.13 ( X1 = mult(X2,ld(X2,X1)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.1.0.0']),
% 52.76/53.13 [weight('<0,0,0,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.1.2.0',plain,
% 52.76/53.13 ( mult(X1,ld(X1,X2)) = X2 ),
% 52.76/53.13 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_1]).
% 52.76/53.13 cnf('0.2.0.0',axiom,
% 52.76/53.13 ( X1 = mult(X1,unit) ),
% 52.76/53.13 file('/tmp/WALDMEISTER_24657_n020')).
% 52.76/53.13 cnf('0.2.1.0',plain,
% 52.76/53.13 ( X1 = mult(X1,unit) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.2.0.0']),
% 52.76/53.13 [weight('<1,0,0,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.2.2.0',plain,
% 52.76/53.13 ( mult(X1,unit) = X1 ),
% 52.76/53.13 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_2]).
% 52.76/53.13 cnf('0.3.0.0',axiom,
% 52.76/53.13 ( X1 = mult(unit,X1) ),
% 52.76/53.13 file('/tmp/WALDMEISTER_24657_n020')).
% 52.76/53.13 cnf('0.3.1.0',plain,
% 52.76/53.13 ( X1 = mult(unit,X1) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.3.0.0']),
% 52.76/53.13 [weight('<2,0,0,[0,0,0,3]>')]).
% 52.76/53.13 cnf('0.3.2.0',plain,
% 52.76/53.13 ( mult(unit,X1) = X1 ),
% 52.76/53.13 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_3]).
% 52.76/53.13 cnf('0.4.0.0',axiom,
% 52.76/53.13 ( X1 = mult(rd(X1,X2),X2) ),
% 52.76/53.13 file('/tmp/WALDMEISTER_24657_n020')).
% 52.76/53.13 cnf('0.4.1.0',plain,
% 52.76/53.13 ( X1 = mult(rd(X1,X2),X2) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.4.0.0']),
% 52.76/53.13 [weight('<3,0,0,[0,0,0,4]>')]).
% 52.76/53.13 cnf('0.4.2.0',plain,
% 52.76/53.13 ( mult(rd(X1,X2),X2) = X1 ),
% 52.76/53.13 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_4]).
% 52.76/53.13 cnf('0.5.0.0',axiom,
% 52.76/53.13 ( X1 = rd(mult(X1,X2),X2) ),
% 52.76/53.13 file('/tmp/WALDMEISTER_24657_n020')).
% 52.76/53.13 cnf('0.5.1.0',plain,
% 52.76/53.13 ( X1 = rd(mult(X1,X2),X2) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.5.0.0']),
% 52.76/53.13 [weight('<4,0,0,[0,0,0,5]>')]).
% 52.76/53.13 cnf('0.5.2.0',plain,
% 52.76/53.13 ( rd(mult(X1,X2),X2) = X1 ),
% 52.76/53.13 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_5]).
% 52.76/53.13 cnf('0.6.0.0',axiom,
% 52.76/53.13 ( X1 = ld(X2,mult(X2,X1)) ),
% 52.76/53.13 file('/tmp/WALDMEISTER_24657_n020')).
% 52.76/53.13 cnf('0.6.1.0',plain,
% 52.76/53.13 ( X1 = ld(X2,mult(X2,X1)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.6.0.0']),
% 52.76/53.13 [weight('<5,0,0,[0,0,0,6]>')]).
% 52.76/53.13 cnf('0.6.2.0',plain,
% 52.76/53.13 ( ld(X1,mult(X1,X2)) = X2 ),
% 52.76/53.13 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_6]).
% 52.76/53.13 cnf('0.7.0.0',axiom,
% 52.76/53.13 ( mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)) ),
% 52.76/53.13 file('/tmp/WALDMEISTER_24657_n020')).
% 52.76/53.13 cnf('0.7.1.0',plain,
% 52.76/53.13 ( mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.7.0.0']),
% 52.76/53.13 [weight('<6,0,0,[0,0,0,7]>')]).
% 52.76/53.13 cnf('0.7.2.0',plain,
% 52.76/53.13 ( mult(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(X2,X3)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_7]).
% 52.76/53.13 cnf('0.8.0.0',axiom,
% 52.76/53.13 ( mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))) ),
% 52.76/53.13 file('/tmp/WALDMEISTER_24657_n020')).
% 52.76/53.13 cnf('0.8.1.0',plain,
% 52.76/53.13 ( mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.8.0.0']),
% 52.76/53.13 [weight('<7,0,0,[0,0,0,8]>')]).
% 52.76/53.13 cnf('0.8.2.0',plain,
% 52.76/53.13 ( mult(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(mult(X1,X3),X2) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_8]).
% 52.76/53.13 cnf('0.9.0.0',axiom,
% 52.76/53.13 ( mult(op_c,op_d) = unit ),
% 52.76/53.13 file('/tmp/WALDMEISTER_24657_n020')).
% 52.76/53.13 cnf('0.9.1.0',plain,
% 52.76/53.13 ( mult(op_c,op_d) = unit ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.9.0.0']),
% 52.76/53.13 [weight('<8,0,0,[0,0,0,9]>')]).
% 52.76/53.13 cnf('0.9.2.0',plain,
% 52.76/53.13 ( mult(op_c,op_d) = unit ),
% 52.76/53.13 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_9]).
% 52.76/53.13 cnf('0.10.0.0',plain,
% 52.76/53.13 ( ld(unit,X1) = X1 ),
% 52.76/53.13 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 52.76/53.13 [pos('L','L')]).
% 52.76/53.13 cnf('0.10.1.0',plain,
% 52.76/53.13 ( ld(unit,X1) = X1 ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.10.0.0']),
% 52.76/53.13 [weight('<19,3,1,[1,0,0,0]>')]).
% 52.76/53.13 cnf('0.10.2.0',plain,
% 52.76/53.13 ( ld(unit,X1) = X1 ),
% 52.76/53.13 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_10]).
% 52.76/53.13 cnf('0.11.0.0',plain,
% 52.76/53.13 ( X1 = rd(X1,unit) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 52.76/53.13 [pos('L','L')]).
% 52.76/53.13 cnf('0.11.1.0',plain,
% 52.76/53.13 ( X1 = rd(X1,unit) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.11.0.0']),
% 52.76/53.13 [weight('<19,4,2,[1,0,0,0]>')]).
% 52.76/53.13 cnf('0.11.2.0',plain,
% 52.76/53.13 ( rd(X1,unit) = X1 ),
% 52.76/53.13 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_11]).
% 52.76/53.13 cnf('0.12.0.0',plain,
% 52.76/53.13 ( unit = rd(X1,X1) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.12.1.0',plain,
% 52.76/53.13 ( unit = rd(X1,X1) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.12.0.0']),
% 52.76/53.13 [weight('<19,5,3,[1,0,0,1]>')]).
% 52.76/53.13 cnf('0.12.2.0',plain,
% 52.76/53.13 ( rd(X1,X1) = unit ),
% 52.76/53.13 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_12]).
% 52.76/53.13 cnf('0.13.0.0',plain,
% 52.76/53.13 ( unit = ld(X1,X1) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.13.1.0',plain,
% 52.76/53.13 ( unit = ld(X1,X1) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.13.0.0']),
% 52.76/53.13 [weight('<19,6,2,[1,0,0,2]>')]).
% 52.76/53.13 cnf('0.13.2.0',plain,
% 52.76/53.13 ( ld(X1,X1) = unit ),
% 52.76/53.13 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_13]).
% 52.76/53.13 cnf('0.14.0.0',plain,
% 52.76/53.13 ( op_c = rd(unit,op_d) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.5.2.0','0.9.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.14.1.0',plain,
% 52.76/53.13 ( op_c = rd(unit,op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.14.0.0']),
% 52.76/53.13 [weight('<19,9,5,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.14.2.0',plain,
% 52.76/53.13 ( rd(unit,op_d) = op_c ),
% 52.76/53.13 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_14]).
% 52.76/53.13 cnf('0.15.0.0',plain,
% 52.76/53.13 ( op_d = ld(op_c,unit) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.6.2.0','0.9.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.15.1.0',plain,
% 52.76/53.13 ( op_d = ld(op_c,unit) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.15.0.0']),
% 52.76/53.13 [weight('<19,9,6,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.15.2.0',plain,
% 52.76/53.13 ( ld(op_c,unit) = op_d ),
% 52.76/53.13 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_15]).
% 52.76/53.13 cnf('0.16.0.0',plain,
% 52.76/53.13 ( X1 = rd(X2,ld(X1,X2)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.16.1.0',plain,
% 52.76/53.13 ( X1 = rd(X2,ld(X1,X2)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.16.0.0']),
% 52.76/53.13 [weight('<41,5,1,[1,0,0,1]>')]).
% 52.76/53.13 cnf('0.16.2.0',plain,
% 52.76/53.13 ( rd(X1,ld(X2,X1)) = X2 ),
% 52.76/53.13 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_16]).
% 52.76/53.13 cnf('0.17.0.0',plain,
% 52.76/53.13 ( X1 = ld(rd(X2,X1),X2) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.17.1.0',plain,
% 52.76/53.13 ( X1 = ld(rd(X2,X1),X2) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.17.0.0']),
% 52.76/53.13 [weight('<41,6,4,[1,0,0,2]>')]).
% 52.76/53.13 cnf('0.17.2.0',plain,
% 52.76/53.13 ( ld(rd(X1,X2),X1) = X2 ),
% 52.76/53.13 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_17]).
% 52.76/53.13 cnf('0.18.0.0',plain,
% 52.76/53.13 ( mult(op_c,mult(X1,op_d)) = mult(rd(mult(op_c,X1),op_c),unit) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.7.2.0','0.9.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.18.0.1',plain,
% 52.76/53.13 ( mult(op_c,mult(X1,op_d)) = rd(mult(op_c,X1),op_c) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.18.0.0','0.2.2.0',theory(equality)]),
% 52.76/53.13 [pos('R','L')]).
% 52.76/53.13 cnf('0.18.1.0',plain,
% 52.76/53.13 ( mult(op_c,mult(X1,op_d)) = rd(mult(op_c,X1),op_c) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.18.0.1']),
% 52.76/53.13 [weight('<65,9,7,[0,0,0,6]>')]).
% 52.76/53.13 cnf('0.18.2.0',plain,
% 52.76/53.13 ( mult(op_c,mult(X1,op_d)) = rd(mult(op_c,X1),op_c) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_18]).
% 52.76/53.13 cnf('0.19.0.0',plain,
% 52.76/53.13 ( mult(mult(op_c,X1),op_d) = mult(unit,ld(op_d,mult(X1,op_d))) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.8.2.0','0.9.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.19.0.1',plain,
% 52.76/53.13 ( mult(mult(op_c,X1),op_d) = ld(op_d,mult(X1,op_d)) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.19.0.0','0.3.2.0',theory(equality)]),
% 52.76/53.13 [pos('R','L')]).
% 52.76/53.13 cnf('0.19.1.0',plain,
% 52.76/53.13 ( mult(mult(op_c,X1),op_d) = ld(op_d,mult(X1,op_d)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.19.0.1']),
% 52.76/53.13 [weight('<65,9,8,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.19.2.0',plain,
% 52.76/53.13 ( mult(mult(op_c,X1),op_d) = ld(op_d,mult(X1,op_d)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_19]).
% 52.76/53.13 cnf('0.20.0.0',plain,
% 52.76/53.13 ( rd(mult(op_c,rd(X1,op_d)),op_c) = mult(op_c,X1) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.18.2.0','0.4.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.20.1.0',plain,
% 52.76/53.13 ( rd(mult(op_c,rd(X1,op_d)),op_c) = mult(op_c,X1) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.20.0.0']),
% 52.76/53.13 [weight('<87,18,4,[1,0,0,2]>')]).
% 52.76/53.13 cnf('0.20.2.0',plain,
% 52.76/53.13 ( rd(mult(op_c,rd(X1,op_d)),op_c) = mult(op_c,X1) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_20]).
% 52.76/53.13 cnf('0.21.0.0',plain,
% 52.76/53.13 ( mult(op_c,rd(X1,op_d)) = mult(mult(op_c,X1),op_c) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.4.2.0','0.20.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.21.1.0',plain,
% 52.76/53.13 ( mult(op_c,rd(X1,op_d)) = mult(mult(op_c,X1),op_c) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.21.0.0']),
% 52.76/53.13 [weight('<65,20,4,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.21.2.0',plain,
% 52.76/53.13 ( mult(mult(op_c,X1),op_c) = mult(op_c,rd(X1,op_d)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_21]).
% 52.76/53.13 cnf('0.22.0.0',plain,
% 52.76/53.13 ( mult(X1,op_d) = ld(op_c,rd(mult(op_c,X1),op_c)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.6.2.0','0.18.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.22.1.0',plain,
% 52.76/53.13 ( mult(X1,op_d) = ld(op_c,rd(mult(op_c,X1),op_c)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.22.0.0']),
% 52.76/53.13 [weight('<87,18,6,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.22.2.0',plain,
% 52.76/53.13 ( ld(op_c,rd(mult(op_c,X1),op_c)) = mult(X1,op_d) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_22]).
% 52.76/53.13 cnf('0.23.0.0',plain,
% 52.76/53.13 ( mult(op_d,op_d) = ld(op_c,rd(unit,op_c)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.22.2.0','0.9.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2.1','L')]).
% 52.76/53.13 cnf('0.23.1.0',plain,
% 52.76/53.13 ( mult(op_d,op_d) = ld(op_c,rd(unit,op_c)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.23.0.0']),
% 52.76/53.13 [weight('<53,22,9,[1,0,0,3]>')]).
% 52.76/53.13 cnf('0.23.2.0',plain,
% 52.76/53.13 ( ld(op_c,rd(unit,op_c)) = mult(op_d,op_d) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_23]).
% 52.76/53.13 cnf('0.24.0.0',plain,
% 52.76/53.13 ( mult(ld(op_c,X1),op_d) = ld(op_c,rd(X1,op_c)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.22.2.0','0.1.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2.1','L')]).
% 52.76/53.13 cnf('0.24.1.0',plain,
% 52.76/53.13 ( mult(ld(op_c,X1),op_d) = ld(op_c,rd(X1,op_c)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.24.0.0']),
% 52.76/53.13 [weight('<65,22,1,[1,0,0,3]>')]).
% 52.76/53.13 cnf('0.24.2.0',plain,
% 52.76/53.13 ( mult(ld(op_c,X1),op_d) = ld(op_c,rd(X1,op_c)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_24]).
% 52.76/53.13 cnf('0.26.0.0',plain,
% 52.76/53.13 ( ld(op_d,mult(ld(op_c,X1),op_d)) = mult(X1,op_d) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.19.2.0','0.1.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.26.1.0',plain,
% 52.76/53.13 ( ld(op_d,mult(ld(op_c,X1),op_d)) = mult(X1,op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.26.0.0']),
% 52.76/53.13 [weight('<87,19,1,[1,0,0,1]>')]).
% 52.76/53.13 cnf('0.26.1.1',plain,
% 52.76/53.13 ( ld(op_d,ld(op_c,rd(X1,op_c))) = mult(X1,op_d) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.26.1.0','0.24.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.26.2.0',plain,
% 52.76/53.13 ( ld(op_d,ld(op_c,rd(X1,op_c))) = mult(X1,op_d) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.26.1.1',theory(equality)]),
% 52.76/53.13 [u,rule_26]).
% 52.76/53.13 cnf('0.27.0.0',plain,
% 52.76/53.13 ( ld(op_c,rd(X1,op_c)) = mult(op_d,mult(X1,op_d)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.1.2.0','0.26.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.27.1.0',plain,
% 52.76/53.13 ( ld(op_c,rd(X1,op_c)) = mult(op_d,mult(X1,op_d)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.27.0.0']),
% 52.76/53.13 [weight('<65,26,1,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.27.2.0',plain,
% 52.76/53.13 ( mult(op_d,mult(X1,op_d)) = ld(op_c,rd(X1,op_c)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_27]).
% 52.76/53.13 cnf('0.28.0.0',plain,
% 52.76/53.13 ( mult(mult(X1,op_c),op_d) = ld(op_d,ld(op_c,X1)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.26.2.0','0.5.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2.2','L')]).
% 52.76/53.13 cnf('0.28.1.0',plain,
% 52.76/53.13 ( mult(mult(X1,op_c),op_d) = ld(op_d,ld(op_c,X1)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.28.0.0']),
% 52.76/53.13 [weight('<65,26,5,[1,0,0,4]>')]).
% 52.76/53.13 cnf('0.28.2.0',plain,
% 52.76/53.13 ( mult(mult(X1,op_c),op_d) = ld(op_d,ld(op_c,X1)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_28]).
% 52.76/53.13 cnf('0.29.0.0',plain,
% 52.76/53.13 ( mult(op_c,X1) = rd(ld(op_d,mult(X1,op_d)),op_d) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.5.2.0','0.19.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.29.1.0',plain,
% 52.76/53.13 ( mult(op_c,X1) = rd(ld(op_d,mult(X1,op_d)),op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.29.0.0']),
% 52.76/53.13 [weight('<87,19,5,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.29.2.0',plain,
% 52.76/53.13 ( rd(ld(op_d,mult(X1,op_d)),op_d) = mult(op_c,X1) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_29]).
% 52.76/53.13 cnf('0.30.0.0',plain,
% 52.76/53.13 ( mult(op_c,op_c) = rd(ld(op_d,unit),op_d) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.29.2.0','0.9.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1.2','L')]).
% 52.76/53.13 cnf('0.30.1.0',plain,
% 52.76/53.13 ( mult(op_c,op_c) = rd(ld(op_d,unit),op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.30.0.0']),
% 52.76/53.13 [weight('<53,29,9,[1,0,0,3]>')]).
% 52.76/53.13 cnf('0.30.2.0',plain,
% 52.76/53.13 ( rd(ld(op_d,unit),op_d) = mult(op_c,op_c) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_30]).
% 52.76/53.13 cnf('0.31.0.0',plain,
% 52.76/53.13 ( mult(op_c,rd(X1,op_d)) = rd(ld(op_d,X1),op_d) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.29.2.0','0.4.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1.2','L')]).
% 52.76/53.13 cnf('0.31.1.0',plain,
% 52.76/53.13 ( mult(op_c,rd(X1,op_d)) = rd(ld(op_d,X1),op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.31.0.0']),
% 52.76/53.13 [weight('<65,29,4,[1,0,0,3]>')]).
% 52.76/53.13 cnf('0.31.2.0',plain,
% 52.76/53.13 ( mult(op_c,rd(X1,op_d)) = rd(ld(op_d,X1),op_d) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_31]).
% 52.76/53.13 cnf('0.32.0.0',plain,
% 52.76/53.13 ( mult(mult(op_c,X1),op_c) = mult(op_c,rd(X1,op_d)) ),
% 52.76/53.13 inference(interreduction_right,[status(thm)],['0.21.2.0'])).
% 52.76/53.13 cnf('0.32.0.1',plain,
% 52.76/53.13 ( mult(mult(op_c,X1),op_c) = rd(ld(op_d,X1),op_d) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.32.0.0','0.31.2.0',theory(equality)]),
% 52.76/53.13 [pos('R','L')]).
% 52.76/53.13 cnf('0.32.1.0',plain,
% 52.76/53.13 ( mult(mult(op_c,X1),op_c) = rd(ld(op_d,X1),op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.32.0.1']),
% 52.76/53.13 [weight('<65,21,31,[0,0,0,0]>')]).
% 52.76/53.13 cnf('0.32.2.0',plain,
% 52.76/53.13 ( mult(mult(op_c,X1),op_c) = rd(ld(op_d,X1),op_d) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_32]).
% 52.76/53.13 cnf('0.34.0.0',plain,
% 52.76/53.13 ( rd(mult(op_c,rd(X1,op_d)),op_c) = mult(op_c,X1) ),
% 52.76/53.13 inference(interreduction_right,[status(thm)],['0.20.2.0'])).
% 52.76/53.13 cnf('0.34.0.1',plain,
% 52.76/53.13 ( rd(rd(ld(op_d,X1),op_d),op_c) = mult(op_c,X1) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.34.0.0','0.31.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.34.1.0',plain,
% 52.76/53.13 ( rd(rd(ld(op_d,X1),op_d),op_c) = mult(op_c,X1) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.34.0.1']),
% 52.76/53.13 [weight('<87,20,31,[0,0,0,0]>')]).
% 52.76/53.13 cnf('0.34.2.0',plain,
% 52.76/53.13 ( rd(rd(ld(op_d,X1),op_d),op_c) = mult(op_c,X1) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_34]).
% 52.76/53.13 cnf('0.35.0.0',plain,
% 52.76/53.13 ( mult(op_c,mult(op_d,X1)) = rd(rd(X1,op_d),op_c) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.34.2.0','0.6.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1.1','L')]).
% 52.76/53.13 cnf('0.35.1.0',plain,
% 52.76/53.13 ( mult(op_c,mult(op_d,X1)) = rd(rd(X1,op_d),op_c) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.35.0.0']),
% 52.76/53.13 [weight('<65,34,6,[1,0,0,2]>')]).
% 52.76/53.13 cnf('0.35.2.0',plain,
% 52.76/53.13 ( mult(op_c,mult(op_d,X1)) = rd(rd(X1,op_d),op_c) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_35]).
% 52.76/53.13 cnf('0.36.0.0',plain,
% 52.76/53.13 ( ld(op_c,X1) = rd(ld(op_c,rd(X1,op_c)),op_d) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.5.2.0','0.24.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.36.1.0',plain,
% 52.76/53.13 ( ld(op_c,X1) = rd(ld(op_c,rd(X1,op_c)),op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.36.0.0']),
% 52.76/53.13 [weight('<87,24,5,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.36.2.0',plain,
% 52.76/53.13 ( rd(ld(op_c,rd(X1,op_c)),op_d) = ld(op_c,X1) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_36]).
% 52.76/53.13 cnf('0.37.0.0',plain,
% 52.76/53.13 ( ld(op_c,mult(X1,op_c)) = rd(ld(op_c,X1),op_d) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.36.2.0','0.5.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1.2','L')]).
% 52.76/53.13 cnf('0.37.1.0',plain,
% 52.76/53.13 ( ld(op_c,mult(X1,op_c)) = rd(ld(op_c,X1),op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.37.0.0']),
% 52.76/53.13 [weight('<65,36,5,[1,0,0,3]>')]).
% 52.76/53.13 cnf('0.37.2.0',plain,
% 52.76/53.13 ( rd(ld(op_c,X1),op_d) = ld(op_c,mult(X1,op_c)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_37]).
% 52.76/53.13 cnf('0.38.0.0',plain,
% 52.76/53.13 ( ld(op_c,rd(rd(X1,op_d),op_c)) = mult(op_d,X1) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.27.2.0','0.4.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.38.1.0',plain,
% 52.76/53.13 ( ld(op_c,rd(rd(X1,op_d),op_c)) = mult(op_d,X1) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.38.0.0']),
% 52.76/53.13 [weight('<87,27,4,[1,0,0,2]>')]).
% 52.76/53.13 cnf('0.38.2.0',plain,
% 52.76/53.13 ( ld(op_c,rd(rd(X1,op_d),op_c)) = mult(op_d,X1) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_38]).
% 52.76/53.13 cnf('0.39.0.0',plain,
% 52.76/53.13 ( ld(op_c,mult(rd(rd(X1,op_d),op_c),op_c)) = rd(mult(op_d,X1),op_d) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.37.2.0','0.38.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.39.0.1',plain,
% 52.76/53.13 ( ld(op_c,rd(X1,op_d)) = rd(mult(op_d,X1),op_d) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.39.0.0','0.4.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.39.1.0',plain,
% 52.76/53.13 ( ld(op_c,rd(X1,op_d)) = rd(mult(op_d,X1),op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.39.0.1']),
% 52.76/53.13 [weight('<65,38,37,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.39.2.0',plain,
% 52.76/53.13 ( rd(mult(op_d,X1),op_d) = ld(op_c,rd(X1,op_d)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_39]).
% 52.76/53.13 cnf('0.40.0.0',plain,
% 52.76/53.13 ( mult(X1,op_c) = rd(ld(op_d,ld(op_c,X1)),op_d) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.5.2.0','0.28.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.40.1.0',plain,
% 52.76/53.13 ( mult(X1,op_c) = rd(ld(op_d,ld(op_c,X1)),op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.40.0.0']),
% 52.76/53.13 [weight('<87,28,5,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.40.2.0',plain,
% 52.76/53.13 ( rd(ld(op_d,ld(op_c,X1)),op_d) = mult(X1,op_c) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_40]).
% 52.76/53.13 cnf('0.41.0.0',plain,
% 52.76/53.13 ( rd(X1,op_d) = ld(op_c,rd(ld(op_d,X1),op_d)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.6.2.0','0.31.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.41.1.0',plain,
% 52.76/53.13 ( rd(X1,op_d) = ld(op_c,rd(ld(op_d,X1),op_d)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.41.0.0']),
% 52.76/53.13 [weight('<87,31,6,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.41.2.0',plain,
% 52.76/53.13 ( ld(op_c,rd(ld(op_d,X1),op_d)) = rd(X1,op_d) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_41]).
% 52.76/53.13 cnf('0.42.0.0',plain,
% 52.76/53.13 ( mult(op_c,mult(op_d,X1)) = mult(rd(unit,op_c),mult(op_c,X1)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.7.2.0','0.9.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1.1','L')]).
% 52.76/53.13 cnf('0.42.1.0',plain,
% 52.76/53.13 ( mult(op_c,mult(op_d,X1)) = mult(rd(unit,op_c),mult(op_c,X1)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.42.0.0']),
% 52.76/53.13 [weight('<103,9,7,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.42.1.1',plain,
% 52.76/53.13 ( rd(rd(X1,op_d),op_c) = mult(rd(unit,op_c),mult(op_c,X1)) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.42.1.0','0.35.2.0',theory(equality)]),
% 52.76/53.13 [pos('L','L')]).
% 52.76/53.13 cnf('0.42.2.0',plain,
% 52.76/53.13 ( mult(rd(unit,op_c),mult(op_c,X1)) = rd(rd(X1,op_d),op_c) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.42.1.1',theory(equality)]),
% 52.76/53.13 [x,rule_42]).
% 52.76/53.13 cnf('0.43.0.0',plain,
% 52.76/53.13 ( mult(mult(X1,op_c),op_d) = mult(mult(X1,op_d),ld(op_d,unit)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.8.2.0','0.9.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2.2','L')]).
% 52.76/53.13 cnf('0.43.1.0',plain,
% 52.76/53.13 ( mult(mult(X1,op_c),op_d) = mult(mult(X1,op_d),ld(op_d,unit)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.43.0.0']),
% 52.76/53.13 [weight('<103,9,8,[0,0,0,6]>')]).
% 52.76/53.13 cnf('0.43.1.1',plain,
% 52.76/53.13 ( ld(op_d,ld(op_c,X1)) = mult(mult(X1,op_d),ld(op_d,unit)) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.43.1.0','0.28.2.0',theory(equality)]),
% 52.76/53.13 [pos('L','L')]).
% 52.76/53.13 cnf('0.43.2.0',plain,
% 52.76/53.13 ( mult(mult(X1,op_d),ld(op_d,unit)) = ld(op_d,ld(op_c,X1)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.43.1.1',theory(equality)]),
% 52.76/53.13 [x,rule_43]).
% 52.76/53.13 cnf('0.46.0.0',plain,
% 52.76/53.13 ( rd(rd(ld(op_c,X1),op_d),op_c) = mult(rd(unit,op_c),X1) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.42.2.0','0.1.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.46.0.1',plain,
% 52.76/53.13 ( rd(ld(op_c,mult(X1,op_c)),op_c) = mult(rd(unit,op_c),X1) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.46.0.0','0.37.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.46.1.0',plain,
% 52.76/53.13 ( rd(ld(op_c,mult(X1,op_c)),op_c) = mult(rd(unit,op_c),X1) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.46.0.1']),
% 52.76/53.13 [weight('<103,42,1,[1,0,0,4]>')]).
% 52.76/53.13 cnf('0.46.2.0',plain,
% 52.76/53.13 ( rd(ld(op_c,mult(X1,op_c)),op_c) = mult(rd(unit,op_c),X1) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_46]).
% 52.76/53.13 cnf('0.47.0.0',plain,
% 52.76/53.13 ( ld(op_d,ld(op_c,rd(X1,op_d))) = mult(X1,ld(op_d,unit)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.43.2.0','0.4.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.47.1.0',plain,
% 52.76/53.13 ( ld(op_d,ld(op_c,rd(X1,op_d))) = mult(X1,ld(op_d,unit)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.47.0.0']),
% 52.76/53.13 [weight('<103,43,4,[1,0,0,1]>')]).
% 52.76/53.13 cnf('0.47.2.0',plain,
% 52.76/53.13 ( ld(op_d,ld(op_c,rd(X1,op_d))) = mult(X1,ld(op_d,unit)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_47]).
% 52.76/53.13 cnf('0.54.0.0',plain,
% 52.76/53.13 ( mult(rd(unit,op_c),rd(X1,op_c)) = rd(ld(op_c,X1),op_c) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.46.2.0','0.4.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1.2','L')]).
% 52.76/53.13 cnf('0.54.1.0',plain,
% 52.76/53.13 ( mult(rd(unit,op_c),rd(X1,op_c)) = rd(ld(op_c,X1),op_c) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.54.0.0']),
% 52.76/53.13 [weight('<103,46,4,[1,0,0,3]>')]).
% 52.76/53.13 cnf('0.54.2.0',plain,
% 52.76/53.13 ( mult(rd(unit,op_c),rd(X1,op_c)) = rd(ld(op_c,X1),op_c) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_54]).
% 52.76/53.13 cnf('0.56.0.0',plain,
% 52.76/53.13 ( mult(rd(X1,op_d),op_c) = rd(mult(X1,ld(op_d,unit)),op_d) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.40.2.0','0.47.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.56.1.0',plain,
% 52.76/53.13 ( mult(rd(X1,op_d),op_c) = rd(mult(X1,ld(op_d,unit)),op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.56.0.0']),
% 52.76/53.13 [weight('<103,47,40,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.56.2.0',plain,
% 52.76/53.13 ( rd(mult(X1,ld(op_d,unit)),op_d) = mult(rd(X1,op_d),op_c) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_56]).
% 52.76/53.13 cnf('0.58.0.0',plain,
% 52.76/53.13 ( mult(op_d,mult(ld(op_d,unit),X1)) = mult(mult(rd(op_d,op_d),op_c),mult(op_d,X1)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.7.2.0','0.56.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.58.0.1',plain,
% 52.76/53.13 ( mult(op_d,mult(ld(op_d,unit),X1)) = mult(mult(unit,op_c),mult(op_d,X1)) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.58.0.0','0.12.2.0',theory(equality)]),
% 52.76/53.13 [pos('R.1.1','L')]).
% 52.76/53.13 cnf('0.58.0.2',plain,
% 52.76/53.13 ( mult(op_d,mult(ld(op_d,unit),X1)) = mult(op_c,mult(op_d,X1)) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.58.0.1','0.3.2.0',theory(equality)]),
% 52.76/53.13 [pos('R.1','L')]).
% 52.76/53.13 cnf('0.58.0.3',plain,
% 52.76/53.13 ( mult(op_d,mult(ld(op_d,unit),X1)) = rd(rd(X1,op_d),op_c) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.58.0.2','0.35.2.0',theory(equality)]),
% 52.76/53.13 [pos('R','L')]).
% 52.76/53.13 cnf('0.58.1.0',plain,
% 52.76/53.13 ( mult(op_d,mult(ld(op_d,unit),X1)) = rd(rd(X1,op_d),op_c) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.58.0.3']),
% 52.76/53.13 [weight('<103,56,7,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.58.2.0',plain,
% 52.76/53.13 ( mult(op_d,mult(ld(op_d,unit),X1)) = rd(rd(X1,op_d),op_c) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_58]).
% 52.76/53.13 cnf('0.59.0.0',plain,
% 52.76/53.13 ( rd(rd(op_d,op_d),op_c) = ld(op_c,rd(ld(op_d,unit),op_c)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.58.2.0','0.27.2.0',theory(equality)]),
% 52.76/53.13 [pos('L','L')]).
% 52.76/53.13 cnf('0.59.0.1',plain,
% 52.76/53.13 ( rd(unit,op_c) = ld(op_c,rd(ld(op_d,unit),op_c)) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.59.0.0','0.12.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.59.1.0',plain,
% 52.76/53.13 ( rd(unit,op_c) = ld(op_c,rd(ld(op_d,unit),op_c)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.59.0.1']),
% 52.76/53.13 [weight('<87,58,27,[1,0,0,0]>')]).
% 52.76/53.13 cnf('0.59.2.0',plain,
% 52.76/53.13 ( ld(op_c,rd(ld(op_d,unit),op_c)) = rd(unit,op_c) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_59]).
% 52.76/53.13 cnf('0.61.0.0',plain,
% 52.76/53.13 ( mult(ld(op_d,unit),op_d) = ld(op_d,rd(unit,op_c)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.26.2.0','0.59.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.61.1.0',plain,
% 52.76/53.13 ( mult(ld(op_d,unit),op_d) = ld(op_d,rd(unit,op_c)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.61.0.0']),
% 52.76/53.13 [weight('<65,59,26,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.61.2.0',plain,
% 52.76/53.13 ( mult(ld(op_d,unit),op_d) = ld(op_d,rd(unit,op_c)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_61]).
% 52.76/53.13 cnf('0.62.0.0',plain,
% 52.76/53.13 ( ld(op_c,mult(rd(ld(op_d,unit),op_c),op_c)) = rd(rd(unit,op_c),op_d) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.37.2.0','0.59.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.62.0.1',plain,
% 52.76/53.13 ( ld(op_c,ld(op_d,unit)) = rd(rd(unit,op_c),op_d) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.62.0.0','0.4.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.62.1.0',plain,
% 52.76/53.13 ( ld(op_c,ld(op_d,unit)) = rd(rd(unit,op_c),op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.62.0.1']),
% 52.76/53.13 [weight('<65,59,37,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.62.2.0',plain,
% 52.76/53.13 ( rd(rd(unit,op_c),op_d) = ld(op_c,ld(op_d,unit)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_62]).
% 52.76/53.13 cnf('0.64.0.0',plain,
% 52.76/53.13 ( mult(ld(op_d,unit),X1) = ld(op_d,rd(rd(X1,op_d),op_c)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.6.2.0','0.58.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.64.1.0',plain,
% 52.76/53.13 ( mult(ld(op_d,unit),X1) = ld(op_d,rd(rd(X1,op_d),op_c)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.64.0.0']),
% 52.76/53.13 [weight('<103,58,6,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.64.2.0',plain,
% 52.76/53.13 ( ld(op_d,rd(rd(X1,op_d),op_c)) = mult(ld(op_d,unit),X1) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_64]).
% 52.76/53.13 cnf('0.69.0.0',plain,
% 52.76/53.13 ( op_d = ld(ld(op_c,X1),ld(op_c,rd(X1,op_c))) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.6.2.0','0.24.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.69.1.0',plain,
% 52.76/53.13 ( op_d = ld(ld(op_c,X1),ld(op_c,rd(X1,op_c))) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.69.0.0']),
% 52.76/53.13 [weight('<109,24,6,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.69.2.0',plain,
% 52.76/53.13 ( ld(ld(op_c,X1),ld(op_c,rd(X1,op_c))) = op_d ),
% 52.76/53.13 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_69]).
% 52.76/53.13 cnf('0.80.0.0',plain,
% 52.76/53.13 ( mult(X1,mult(ld(X1,X2),X3)) = mult(rd(X2,X1),mult(X1,X3)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1.1','L')]).
% 52.76/53.13 cnf('0.80.1.0',plain,
% 52.76/53.13 ( mult(X1,mult(ld(X1,X2),X3)) = mult(rd(X2,X1),mult(X1,X3)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.80.0.0']),
% 52.76/53.13 [weight('<119,7,1,[1,0,0,2]>')]).
% 52.76/53.13 cnf('0.80.2.0',plain,
% 52.76/53.13 ( mult(rd(X1,X2),mult(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_80]).
% 52.76/53.13 cnf('0.81.0.0',plain,
% 52.76/53.13 ( mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.8.2.0','0.4.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.81.1.0',plain,
% 52.76/53.13 ( mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.81.0.0']),
% 52.76/53.13 [weight('<119,8,4,[1,0,0,1]>')]).
% 52.76/53.13 cnf('0.81.2.0',plain,
% 52.76/53.13 ( mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_81]).
% 52.76/53.13 cnf('0.82.0.0',plain,
% 52.76/53.13 ( mult(mult(X1,rd(X2,X3)),X3) = mult(mult(X1,X3),ld(X3,X2)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.8.2.0','0.4.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2.2','L')]).
% 52.76/53.13 cnf('0.82.1.0',plain,
% 52.76/53.13 ( mult(mult(X1,rd(X2,X3)),X3) = mult(mult(X1,X3),ld(X3,X2)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.82.0.0']),
% 52.76/53.13 [weight('<119,8,4,[1,0,0,6]>')]).
% 52.76/53.13 cnf('0.82.2.0',plain,
% 52.76/53.13 ( mult(mult(X1,rd(X2,X3)),X3) = mult(mult(X1,X3),ld(X3,X2)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_82]).
% 52.76/53.13 cnf('0.83.0.0',plain,
% 52.76/53.13 ( rd(mult(op_c,mult(op_c,X1)),op_c) = mult(op_c,ld(op_d,mult(X1,op_d))) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.18.2.0','0.19.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.83.1.0',plain,
% 52.76/53.13 ( rd(mult(op_c,mult(op_c,X1)),op_c) = mult(op_c,ld(op_d,mult(X1,op_d))) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.83.0.0']),
% 52.76/53.13 [weight('<119,19,18,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.83.2.0',plain,
% 52.76/53.13 ( mult(op_c,ld(op_d,mult(X1,op_d))) = rd(mult(op_c,mult(op_c,X1)),op_c) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_83]).
% 52.76/53.13 cnf('0.85.0.0',plain,
% 52.76/53.13 ( ld(op_c,rd(ld(op_c,X1),op_c)) = mult(op_d,ld(op_c,rd(X1,op_c))) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.27.2.0','0.24.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.85.1.0',plain,
% 52.76/53.13 ( ld(op_c,rd(ld(op_c,X1),op_c)) = mult(op_d,ld(op_c,rd(X1,op_c))) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.85.0.0']),
% 52.76/53.13 [weight('<119,27,24,[1,0,0,2]>')]).
% 52.76/53.13 cnf('0.85.2.0',plain,
% 52.76/53.13 ( mult(op_d,ld(op_c,rd(X1,op_c))) = ld(op_c,rd(ld(op_c,X1),op_c)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_85]).
% 52.76/53.13 cnf('0.86.0.0',plain,
% 52.76/53.13 ( ld(op_c,rd(ld(op_c,mult(X1,op_c)),op_c)) = mult(op_d,ld(op_c,X1)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.85.2.0','0.5.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2.2','L')]).
% 52.76/53.13 cnf('0.86.0.1',plain,
% 52.76/53.13 ( ld(op_c,mult(rd(unit,op_c),X1)) = mult(op_d,ld(op_c,X1)) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.86.0.0','0.46.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.86.1.0',plain,
% 52.76/53.13 ( ld(op_c,mult(rd(unit,op_c),X1)) = mult(op_d,ld(op_c,X1)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.86.0.1']),
% 52.76/53.13 [weight('<103,85,5,[1,0,0,4]>')]).
% 52.76/53.13 cnf('0.86.2.0',plain,
% 52.76/53.13 ( ld(op_c,mult(rd(unit,op_c),X1)) = mult(op_d,ld(op_c,X1)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_86]).
% 52.76/53.13 cnf('0.87.0.0',plain,
% 52.76/53.13 ( rd(mult(op_c,mult(X1,op_c)),op_c) = mult(op_c,ld(op_d,ld(op_c,X1))) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.18.2.0','0.28.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.87.1.0',plain,
% 52.76/53.13 ( rd(mult(op_c,mult(X1,op_c)),op_c) = mult(op_c,ld(op_d,ld(op_c,X1))) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.87.0.0']),
% 52.76/53.13 [weight('<119,28,18,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.87.2.0',plain,
% 52.76/53.13 ( mult(op_c,ld(op_d,ld(op_c,X1))) = rd(mult(op_c,mult(X1,op_c)),op_c) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_87]).
% 52.76/53.13 cnf('0.95.0.0',plain,
% 52.76/53.13 ( mult(mult(op_c,op_c),ld(op_c,X1)) = rd(ld(op_d,rd(X1,op_c)),op_d) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.82.2.0','0.32.2.0',theory(equality)]),
% 52.76/53.13 [pos('L','L')]).
% 52.76/53.13 cnf('0.95.1.0',plain,
% 52.76/53.13 ( mult(mult(op_c,op_c),ld(op_c,X1)) = rd(ld(op_d,rd(X1,op_c)),op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.95.0.0']),
% 52.76/53.13 [weight('<119,82,32,[1,0,0,0]>')]).
% 52.76/53.13 cnf('0.95.2.0',plain,
% 52.76/53.13 ( mult(mult(op_c,op_c),ld(op_c,X1)) = rd(ld(op_d,rd(X1,op_c)),op_d) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_95]).
% 52.76/53.13 cnf('0.96.0.0',plain,
% 52.76/53.13 ( mult(mult(X1,op_c),ld(op_c,rd(ld(op_d,X2),op_d))) = mult(mult(X1,mult(op_c,X2)),op_c) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.82.2.0','0.34.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1.2','L')]).
% 52.76/53.13 cnf('0.96.0.1',plain,
% 52.76/53.13 ( mult(mult(X1,op_c),rd(X2,op_d)) = mult(mult(X1,mult(op_c,X2)),op_c) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.96.0.0','0.41.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.96.1.0',plain,
% 52.76/53.13 ( mult(mult(X1,op_c),rd(X2,op_d)) = mult(mult(X1,mult(op_c,X2)),op_c) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.96.0.1']),
% 52.76/53.13 [weight('<119,82,34,[1,0,0,3]>')]).
% 52.76/53.13 cnf('0.96.2.0',plain,
% 52.76/53.13 ( mult(mult(X1,mult(op_c,X2)),op_c) = mult(mult(X1,op_c),rd(X2,op_d)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_96]).
% 52.76/53.13 cnf('0.101.0.0',plain,
% 52.76/53.13 ( mult(X1,op_d) = rd(ld(op_d,ld(op_c,X1)),ld(op_d,unit)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.5.2.0','0.43.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.101.1.0',plain,
% 52.76/53.13 ( mult(X1,op_d) = rd(ld(op_d,ld(op_c,X1)),ld(op_d,unit)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.101.0.0']),
% 52.76/53.13 [weight('<129,43,5,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.101.2.0',plain,
% 52.76/53.13 ( rd(ld(op_d,ld(op_c,X1)),ld(op_d,unit)) = mult(X1,op_d) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_101]).
% 52.76/53.13 cnf('0.105.0.0',plain,
% 52.76/53.13 ( mult(mult(op_c,X1),op_d) = rd(ld(op_d,X1),ld(op_d,unit)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.101.2.0','0.6.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1.2','L')]).
% 52.76/53.13 cnf('0.105.0.1',plain,
% 52.76/53.13 ( ld(op_d,mult(X1,op_d)) = rd(ld(op_d,X1),ld(op_d,unit)) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.105.0.0','0.19.2.0',theory(equality)]),
% 52.76/53.13 [pos('L','L')]).
% 52.76/53.13 cnf('0.105.1.0',plain,
% 52.76/53.13 ( ld(op_d,mult(X1,op_d)) = rd(ld(op_d,X1),ld(op_d,unit)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.105.0.1']),
% 52.76/53.13 [weight('<103,101,6,[1,0,0,3]>')]).
% 52.76/53.13 cnf('0.105.2.0',plain,
% 52.76/53.13 ( rd(ld(op_d,X1),ld(op_d,unit)) = ld(op_d,mult(X1,op_d)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_105]).
% 52.76/53.13 cnf('0.110.0.0',plain,
% 52.76/53.13 ( ld(op_d,mult(mult(op_d,X1),op_d)) = rd(X1,ld(op_d,unit)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.105.2.0','0.6.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.110.1.0',plain,
% 52.76/53.13 ( ld(op_d,mult(mult(op_d,X1),op_d)) = rd(X1,ld(op_d,unit)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.110.0.0']),
% 52.76/53.13 [weight('<103,105,6,[1,0,0,1]>')]).
% 52.76/53.13 cnf('0.110.2.0',plain,
% 52.76/53.13 ( ld(op_d,mult(mult(op_d,X1),op_d)) = rd(X1,ld(op_d,unit)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_110]).
% 52.76/53.13 cnf('0.114.0.0',plain,
% 52.76/53.13 ( mult(mult(op_d,X1),op_d) = mult(op_d,rd(X1,ld(op_d,unit))) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.1.2.0','0.110.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.114.1.0',plain,
% 52.76/53.13 ( mult(mult(op_d,X1),op_d) = mult(op_d,rd(X1,ld(op_d,unit))) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.114.0.0']),
% 52.76/53.13 [weight('<103,110,1,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.114.2.0',plain,
% 52.76/53.13 ( mult(op_d,rd(X1,ld(op_d,unit))) = mult(mult(op_d,X1),op_d) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_114]).
% 52.76/53.13 cnf('0.119.0.0',plain,
% 52.76/53.13 ( mult(mult(op_d,ld(op_d,unit)),ld(ld(op_d,unit),X1)) = mult(mult(mult(op_d,X1),op_d),ld(op_d,unit)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.82.2.0','0.114.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.119.0.1',plain,
% 52.76/53.13 ( mult(unit,ld(ld(op_d,unit),X1)) = mult(mult(mult(op_d,X1),op_d),ld(op_d,unit)) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.119.0.0','0.1.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.119.0.2',plain,
% 52.76/53.13 ( ld(ld(op_d,unit),X1) = mult(mult(mult(op_d,X1),op_d),ld(op_d,unit)) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.119.0.1','0.3.2.0',theory(equality)]),
% 52.76/53.13 [pos('L','L')]).
% 52.76/53.13 cnf('0.119.0.3',plain,
% 52.76/53.13 ( ld(ld(op_d,unit),X1) = ld(op_d,ld(op_c,mult(op_d,X1))) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.119.0.2','0.43.2.0',theory(equality)]),
% 52.76/53.13 [pos('R','L')]).
% 52.76/53.13 cnf('0.119.1.0',plain,
% 52.76/53.13 ( ld(ld(op_d,unit),X1) = ld(op_d,ld(op_c,mult(op_d,X1))) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.119.0.3']),
% 52.76/53.13 [weight('<103,114,82,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.119.2.0',plain,
% 52.76/53.13 ( ld(op_d,ld(op_c,mult(op_d,X1))) = ld(ld(op_d,unit),X1) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.119.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_119]).
% 52.76/53.13 cnf('0.122.0.0',plain,
% 52.76/53.13 ( ld(op_c,mult(op_d,X1)) = mult(op_d,ld(ld(op_d,unit),X1)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.1.2.0','0.119.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.122.1.0',plain,
% 52.76/53.13 ( ld(op_c,mult(op_d,X1)) = mult(op_d,ld(ld(op_d,unit),X1)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.122.0.0']),
% 52.76/53.13 [weight('<103,119,1,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.122.2.0',plain,
% 52.76/53.13 ( mult(op_d,ld(ld(op_d,unit),X1)) = ld(op_c,mult(op_d,X1)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.122.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_122]).
% 52.76/53.13 cnf('0.124.0.0',plain,
% 52.76/53.13 ( mult(mult(op_d,X1),op_c) = rd(ld(ld(op_d,unit),X1),op_d) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.40.2.0','0.119.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.124.1.0',plain,
% 52.76/53.13 ( mult(mult(op_d,X1),op_c) = rd(ld(ld(op_d,unit),X1),op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.124.0.0']),
% 52.76/53.13 [weight('<103,119,40,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.124.2.0',plain,
% 52.76/53.13 ( rd(ld(ld(op_d,unit),X1),op_d) = mult(mult(op_d,X1),op_c) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.124.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_124]).
% 52.76/53.13 cnf('0.144.0.0',plain,
% 52.76/53.13 ( rd(X1,op_c) = ld(rd(unit,op_c),rd(ld(op_c,X1),op_c)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.6.2.0','0.54.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.144.1.0',plain,
% 52.76/53.13 ( rd(X1,op_c) = ld(rd(unit,op_c),rd(ld(op_c,X1),op_c)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.144.0.0']),
% 52.76/53.13 [weight('<129,54,6,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.144.2.0',plain,
% 52.76/53.13 ( ld(rd(unit,op_c),rd(ld(op_c,X1),op_c)) = rd(X1,op_c) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.144.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_144]).
% 52.76/53.13 cnf('0.145.0.0',plain,
% 52.76/53.13 ( rd(mult(op_c,X1),op_c) = ld(rd(unit,op_c),rd(X1,op_c)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.144.2.0','0.6.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2.1','L')]).
% 52.76/53.13 cnf('0.145.1.0',plain,
% 52.76/53.13 ( rd(mult(op_c,X1),op_c) = ld(rd(unit,op_c),rd(X1,op_c)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.145.0.0']),
% 52.76/53.13 [weight('<103,144,6,[1,0,0,5]>')]).
% 52.76/53.13 cnf('0.145.2.0',plain,
% 52.76/53.13 ( ld(rd(unit,op_c),rd(X1,op_c)) = rd(mult(op_c,X1),op_c) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.145.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_145]).
% 52.76/53.13 cnf('0.146.0.0',plain,
% 52.76/53.13 ( rd(mult(op_c,mult(X1,op_c)),op_c) = ld(rd(unit,op_c),X1) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.145.2.0','0.5.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.146.1.0',plain,
% 52.76/53.13 ( rd(mult(op_c,mult(X1,op_c)),op_c) = ld(rd(unit,op_c),X1) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.146.0.0']),
% 52.76/53.13 [weight('<103,145,5,[1,0,0,4]>')]).
% 52.76/53.13 cnf('0.146.2.0',plain,
% 52.76/53.13 ( rd(mult(op_c,mult(X1,op_c)),op_c) = ld(rd(unit,op_c),X1) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.146.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_146]).
% 52.76/53.13 cnf('0.147.0.0',plain,
% 52.76/53.13 ( mult(op_c,ld(op_d,ld(op_c,X1))) = rd(mult(op_c,mult(X1,op_c)),op_c) ),
% 52.76/53.13 inference(interreduction_right,[status(thm)],['0.87.2.0'])).
% 52.76/53.13 cnf('0.147.0.1',plain,
% 52.76/53.13 ( mult(op_c,ld(op_d,ld(op_c,X1))) = ld(rd(unit,op_c),X1) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.147.0.0','0.146.2.0',theory(equality)]),
% 52.76/53.13 [pos('R','L')]).
% 52.76/53.13 cnf('0.147.1.0',plain,
% 52.76/53.13 ( mult(op_c,ld(op_d,ld(op_c,X1))) = ld(rd(unit,op_c),X1) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.147.0.1']),
% 52.76/53.13 [weight('<103,87,146,[0,0,0,0]>')]).
% 52.76/53.13 cnf('0.147.2.0',plain,
% 52.76/53.13 ( mult(op_c,ld(op_d,ld(op_c,X1))) = ld(rd(unit,op_c),X1) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_147]).
% 52.76/53.13 cnf('0.150.0.0',plain,
% 52.76/53.13 ( mult(mult(X1,op_c),op_d) = ld(op_c,ld(rd(unit,op_c),X1)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.22.2.0','0.146.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.150.0.1',plain,
% 52.76/53.13 ( ld(op_d,ld(op_c,X1)) = ld(op_c,ld(rd(unit,op_c),X1)) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.150.0.0','0.28.2.0',theory(equality)]),
% 52.76/53.13 [pos('L','L')]).
% 52.76/53.13 cnf('0.150.1.0',plain,
% 52.76/53.13 ( ld(op_d,ld(op_c,X1)) = ld(op_c,ld(rd(unit,op_c),X1)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.150.0.1']),
% 52.76/53.13 [weight('<103,146,22,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.150.2.0',plain,
% 52.76/53.13 ( ld(op_c,ld(rd(unit,op_c),X1)) = ld(op_d,ld(op_c,X1)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.150.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_150]).
% 52.76/53.13 cnf('0.164.0.0',plain,
% 52.76/53.13 ( ld(X1,mult(X2,X1)) = ld(mult(X3,X1),mult(mult(X3,X2),X1)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.6.2.0','0.8.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.164.1.0',plain,
% 52.76/53.13 ( ld(X1,mult(X2,X1)) = ld(mult(X3,X1),mult(mult(X3,X2),X1)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.164.0.0']),
% 52.76/53.13 [weight('<149,8,6,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.164.2.0',plain,
% 52.76/53.13 ( ld(mult(X1,X2),mult(mult(X1,X3),X2)) = ld(X2,mult(X3,X2)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.164.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_164]).
% 52.76/53.13 cnf('0.165.0.0',plain,
% 52.76/53.13 ( ld(X1,mult(op_d,X1)) = ld(mult(op_c,X1),mult(unit,X1)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.164.2.0','0.9.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2.1','L')]).
% 52.76/53.13 cnf('0.165.0.1',plain,
% 52.76/53.13 ( ld(X1,mult(op_d,X1)) = ld(mult(op_c,X1),X1) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.165.0.0','0.3.2.0',theory(equality)]),
% 52.76/53.13 [pos('R.2','L')]).
% 52.76/53.13 cnf('0.165.1.0',plain,
% 52.76/53.13 ( ld(X1,mult(op_d,X1)) = ld(mult(op_c,X1),X1) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.165.0.1']),
% 52.76/53.13 [weight('<65,164,9,[1,0,0,5]>')]).
% 52.76/53.13 cnf('0.165.2.0',plain,
% 52.76/53.13 ( ld(mult(op_c,X1),X1) = ld(X1,mult(op_d,X1)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.165.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_165]).
% 52.76/53.13 cnf('0.167.0.0',plain,
% 52.76/53.13 ( ld(X1,mult(ld(X2,X3),X1)) = ld(mult(X2,X1),mult(X3,X1)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.164.2.0','0.1.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2.1','L')]).
% 52.76/53.13 cnf('0.167.1.0',plain,
% 52.76/53.13 ( ld(X1,mult(ld(X2,X3),X1)) = ld(mult(X2,X1),mult(X3,X1)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.167.0.0']),
% 52.76/53.13 [weight('<119,164,1,[1,0,0,5]>')]).
% 52.76/53.13 cnf('0.167.2.0',plain,
% 52.76/53.13 ( ld(mult(X1,X2),mult(X3,X2)) = ld(X2,mult(ld(X1,X3),X2)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.167.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_167]).
% 52.76/53.13 cnf('0.168.0.0',plain,
% 52.76/53.13 ( ld(X1,mult(ld(X2,unit),X1)) = ld(mult(X2,X1),X1) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.167.2.0','0.3.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.168.1.0',plain,
% 52.76/53.13 ( ld(X1,mult(ld(X2,unit),X1)) = ld(mult(X2,X1),X1) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.168.0.0']),
% 52.76/53.13 [weight('<103,167,3,[1,0,0,4]>')]).
% 52.76/53.13 cnf('0.168.2.0',plain,
% 52.76/53.13 ( ld(X1,mult(ld(X2,unit),X1)) = ld(mult(X2,X1),X1) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.168.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_168]).
% 52.76/53.13 cnf('0.169.0.0',plain,
% 52.76/53.13 ( ld(op_d,mult(ld(X1,op_c),op_d)) = ld(mult(X1,op_d),unit) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.167.2.0','0.9.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.169.1.0',plain,
% 52.76/53.13 ( ld(op_d,mult(ld(X1,op_c),op_d)) = ld(mult(X1,op_d),unit) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.169.0.0']),
% 52.76/53.13 [weight('<103,167,9,[1,0,0,4]>')]).
% 52.76/53.13 cnf('0.169.2.0',plain,
% 52.76/53.13 ( ld(op_d,mult(ld(X1,op_c),op_d)) = ld(mult(X1,op_d),unit) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.169.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_169]).
% 52.76/53.13 cnf('0.170.0.0',plain,
% 52.76/53.13 ( mult(ld(X1,unit),X2) = mult(X2,ld(mult(X1,X2),X2)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.1.2.0','0.168.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.170.1.0',plain,
% 52.76/53.13 ( mult(ld(X1,unit),X2) = mult(X2,ld(mult(X1,X2),X2)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.170.0.0']),
% 52.76/53.13 [weight('<103,168,1,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.170.2.0',plain,
% 52.76/53.13 ( mult(X1,ld(mult(X2,X1),X1)) = mult(ld(X2,unit),X1) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.170.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_170]).
% 52.76/53.13 cnf('0.171.0.0',plain,
% 52.76/53.13 ( ld(mult(rd(unit,X1),X2),X2) = ld(X2,mult(X1,X2)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.168.2.0','0.17.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2.1','L')]).
% 52.76/53.13 cnf('0.171.1.0',plain,
% 52.76/53.13 ( ld(mult(rd(unit,X1),X2),X2) = ld(X2,mult(X1,X2)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.171.0.0']),
% 52.76/53.13 [weight('<103,168,17,[1,0,0,3]>')]).
% 52.76/53.13 cnf('0.171.2.0',plain,
% 52.76/53.13 ( ld(mult(rd(unit,X1),X2),X2) = ld(X2,mult(X1,X2)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.171.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_171]).
% 52.76/53.13 cnf('0.173.0.0',plain,
% 52.76/53.13 ( mult(op_c,ld(X1,unit)) = rd(ld(mult(X1,op_d),op_d),op_d) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.29.2.0','0.168.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.173.1.0',plain,
% 52.76/53.13 ( mult(op_c,ld(X1,unit)) = rd(ld(mult(X1,op_d),op_d),op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.173.0.0']),
% 52.76/53.13 [weight('<103,168,29,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.173.2.0',plain,
% 52.76/53.13 ( rd(ld(mult(X1,op_d),op_d),op_d) = mult(op_c,ld(X1,unit)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.173.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_173]).
% 52.76/53.13 cnf('0.176.0.0',plain,
% 52.76/53.13 ( mult(ld(X1,op_c),op_d) = mult(op_d,ld(mult(X1,op_d),unit)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.1.2.0','0.169.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.176.1.0',plain,
% 52.76/53.13 ( mult(ld(X1,op_c),op_d) = mult(op_d,ld(mult(X1,op_d),unit)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.176.0.0']),
% 52.76/53.13 [weight('<103,169,1,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.176.2.0',plain,
% 52.76/53.13 ( mult(op_d,ld(mult(X1,op_d),unit)) = mult(ld(X1,op_c),op_d) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.176.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_176]).
% 52.76/53.13 cnf('0.177.0.0',plain,
% 52.76/53.13 ( ld(mult(rd(op_c,X1),op_d),unit) = ld(op_d,mult(X1,op_d)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.169.2.0','0.17.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2.1','L')]).
% 52.76/53.13 cnf('0.177.1.0',plain,
% 52.76/53.13 ( ld(mult(rd(op_c,X1),op_d),unit) = ld(op_d,mult(X1,op_d)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.177.0.0']),
% 52.76/53.13 [weight('<103,169,17,[1,0,0,3]>')]).
% 52.76/53.13 cnf('0.177.2.0',plain,
% 52.76/53.13 ( ld(mult(rd(op_c,X1),op_d),unit) = ld(op_d,mult(X1,op_d)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.177.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_177]).
% 52.76/53.13 cnf('0.179.0.0',plain,
% 52.76/53.13 ( mult(ld(rd(X1,X2),unit),X2) = mult(X2,ld(X1,X2)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.170.2.0','0.4.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2.1','L')]).
% 52.76/53.13 cnf('0.179.1.0',plain,
% 52.76/53.13 ( mult(ld(rd(X1,X2),unit),X2) = mult(X2,ld(X1,X2)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.179.0.0']),
% 52.76/53.13 [weight('<103,170,4,[1,0,0,3]>')]).
% 52.76/53.13 cnf('0.179.2.0',plain,
% 52.76/53.13 ( mult(ld(rd(X1,X2),unit),X2) = mult(X2,ld(X1,X2)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.179.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_179]).
% 52.76/53.13 cnf('0.180.0.0',plain,
% 52.76/53.13 ( mult(rd(unit,X1),X2) = rd(X2,ld(X2,mult(X1,X2))) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.16.2.0','0.171.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.180.1.0',plain,
% 52.76/53.13 ( mult(rd(unit,X1),X2) = rd(X2,ld(X2,mult(X1,X2))) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.180.0.0']),
% 52.76/53.13 [weight('<103,171,16,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.180.2.0',plain,
% 52.76/53.13 ( rd(X1,ld(X1,mult(X2,X1))) = mult(rd(unit,X2),X1) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.180.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_180]).
% 52.76/53.13 cnf('0.181.0.0',plain,
% 52.76/53.13 ( mult(rd(unit,rd(unit,op_c)),op_c) = rd(op_c,mult(op_d,ld(op_c,op_c))) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.180.2.0','0.86.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.181.0.1',plain,
% 52.76/53.13 ( mult(rd(unit,rd(unit,op_c)),op_c) = rd(op_c,mult(op_d,unit)) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.181.0.0','0.13.2.0',theory(equality)]),
% 52.76/53.13 [pos('R.2.2','L')]).
% 52.76/53.13 cnf('0.181.0.2',plain,
% 52.76/53.13 ( mult(rd(unit,rd(unit,op_c)),op_c) = rd(op_c,op_d) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.181.0.1','0.2.2.0',theory(equality)]),
% 52.76/53.13 [pos('R.2','L')]).
% 52.76/53.13 cnf('0.181.1.0',plain,
% 52.76/53.13 ( mult(rd(unit,rd(unit,op_c)),op_c) = rd(op_c,op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.181.0.2']),
% 52.76/53.13 [weight('<87,180,86,[1,0,0,2]>')]).
% 52.76/53.13 cnf('0.181.2.0',plain,
% 52.76/53.13 ( mult(rd(unit,rd(unit,op_c)),op_c) = rd(op_c,op_d) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.181.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_181]).
% 52.76/53.13 cnf('0.182.0.0',plain,
% 52.76/53.13 ( rd(unit,rd(unit,op_c)) = rd(rd(op_c,op_d),op_c) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.5.2.0','0.181.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.182.1.0',plain,
% 52.76/53.13 ( rd(unit,rd(unit,op_c)) = rd(rd(op_c,op_d),op_c) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.182.0.0']),
% 52.76/53.13 [weight('<65,181,5,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.182.2.0',plain,
% 52.76/53.13 ( rd(rd(op_c,op_d),op_c) = rd(unit,rd(unit,op_c)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.182.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_182]).
% 52.76/53.13 cnf('0.186.0.0',plain,
% 52.76/53.13 ( mult(op_c,ld(rd(X1,op_d),unit)) = rd(ld(X1,op_d),op_d) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.173.2.0','0.4.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1.1','L')]).
% 52.76/53.13 cnf('0.186.1.0',plain,
% 52.76/53.13 ( mult(op_c,ld(rd(X1,op_d),unit)) = rd(ld(X1,op_d),op_d) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.186.0.0']),
% 52.76/53.13 [weight('<103,173,4,[1,0,0,2]>')]).
% 52.76/53.13 cnf('0.186.2.0',plain,
% 52.76/53.13 ( mult(op_c,ld(rd(X1,op_d),unit)) = rd(ld(X1,op_d),op_d) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.186.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_186]).
% 52.76/53.13 cnf('0.187.0.0',plain,
% 52.76/53.13 ( mult(ld(rd(X1,op_d),op_c),op_d) = mult(op_d,ld(X1,unit)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.176.2.0','0.4.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2.1','L')]).
% 52.76/53.13 cnf('0.187.1.0',plain,
% 52.76/53.13 ( mult(ld(rd(X1,op_d),op_c),op_d) = mult(op_d,ld(X1,unit)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.187.0.0']),
% 52.76/53.13 [weight('<103,176,4,[1,0,0,3]>')]).
% 52.76/53.13 cnf('0.187.2.0',plain,
% 52.76/53.13 ( mult(ld(rd(X1,op_d),op_c),op_d) = mult(op_d,ld(X1,unit)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_187]).
% 52.76/53.13 cnf('0.188.0.0',plain,
% 52.76/53.13 ( mult(rd(op_c,X1),op_d) = rd(unit,ld(op_d,mult(X1,op_d))) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.16.2.0','0.177.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.188.1.0',plain,
% 52.76/53.13 ( mult(rd(op_c,X1),op_d) = rd(unit,ld(op_d,mult(X1,op_d))) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.188.0.0']),
% 52.76/53.13 [weight('<103,177,16,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.188.2.0',plain,
% 52.76/53.13 ( rd(unit,ld(op_d,mult(X1,op_d))) = mult(rd(op_c,X1),op_d) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.188.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_188]).
% 52.76/53.13 cnf('0.190.0.0',plain,
% 52.76/53.13 ( ld(rd(X1,X2),unit) = rd(mult(X2,ld(X1,X2)),X2) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.5.2.0','0.179.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.1','L')]).
% 52.76/53.13 cnf('0.190.1.0',plain,
% 52.76/53.13 ( ld(rd(X1,X2),unit) = rd(mult(X2,ld(X1,X2)),X2) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.190.0.0']),
% 52.76/53.13 [weight('<103,179,5,[0,0,0,1]>')]).
% 52.76/53.13 cnf('0.190.2.0',plain,
% 52.76/53.13 ( rd(mult(X1,ld(X2,X1)),X1) = ld(rd(X2,X1),unit) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.190.1.0',theory(equality)]),
% 52.76/53.13 [x,rule_190]).
% 52.76/53.13 cnf('0.192.0.0',plain,
% 52.76/53.13 ( mult(rd(unit,rd(X1,X2)),X2) = rd(X2,ld(X2,X1)) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.180.2.0','0.4.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2.2','L')]).
% 52.76/53.13 cnf('0.192.1.0',plain,
% 52.76/53.13 ( mult(rd(unit,rd(X1,X2)),X2) = rd(X2,ld(X2,X1)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.192.0.0']),
% 52.76/53.13 [weight('<103,180,4,[1,0,0,4]>')]).
% 52.76/53.13 cnf('0.192.2.0',plain,
% 52.76/53.13 ( mult(rd(unit,rd(X1,X2)),X2) = rd(X2,ld(X2,X1)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.192.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_192]).
% 52.76/53.13 cnf('0.193.0.0',plain,
% 52.76/53.13 ( mult(rd(unit,ld(op_c,X1)),op_d) = rd(op_d,ld(op_d,ld(op_c,rd(X1,op_c)))) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.180.2.0','0.24.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2.2','L')]).
% 52.76/53.13 cnf('0.193.0.1',plain,
% 52.76/53.13 ( mult(rd(unit,ld(op_c,X1)),op_d) = rd(op_d,mult(X1,op_d)) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.193.0.0','0.26.2.0',theory(equality)]),
% 52.76/53.13 [pos('R.2','L')]).
% 52.76/53.13 cnf('0.193.1.0',plain,
% 52.76/53.13 ( mult(rd(unit,ld(op_c,X1)),op_d) = rd(op_d,mult(X1,op_d)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.193.0.1']),
% 52.76/53.13 [weight('<103,180,24,[1,0,0,4]>')]).
% 52.76/53.13 cnf('0.193.2.0',plain,
% 52.76/53.13 ( mult(rd(unit,ld(op_c,X1)),op_d) = rd(op_d,mult(X1,op_d)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.193.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_193]).
% 52.76/53.13 cnf('0.194.0.0',plain,
% 52.76/53.13 ( mult(rd(unit,mult(op_c,X1)),op_c) = rd(op_c,ld(op_c,rd(ld(op_d,X1),op_d))) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.180.2.0','0.32.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2.2','L')]).
% 52.76/53.13 cnf('0.194.0.1',plain,
% 52.76/53.13 ( mult(rd(unit,mult(op_c,X1)),op_c) = rd(op_c,rd(X1,op_d)) ),
% 52.76/53.13 inference(reduction,[status(thm)],['0.194.0.0','0.41.2.0',theory(equality)]),
% 52.76/53.13 [pos('R.2','L')]).
% 52.76/53.13 cnf('0.194.1.0',plain,
% 52.76/53.13 ( mult(rd(unit,mult(op_c,X1)),op_c) = rd(op_c,rd(X1,op_d)) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.194.0.1']),
% 52.76/53.13 [weight('<103,180,32,[1,0,0,4]>')]).
% 52.76/53.13 cnf('0.194.2.0',plain,
% 52.76/53.13 ( mult(rd(unit,mult(op_c,X1)),op_c) = rd(op_c,rd(X1,op_d)) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.194.1.0',theory(equality)]),
% 52.76/53.13 [u,rule_194]).
% 52.76/53.13 cnf('0.195.0.0',plain,
% 52.76/53.13 ( mult(ld(op_d,unit),op_c) = ld(op_d,rd(unit,rd(unit,op_c))) ),
% 52.76/53.13 inference(cp,[status(thm)],['0.64.2.0','0.182.2.0',theory(equality)]),
% 52.76/53.13 [pos('L.2','L')]).
% 52.76/53.13 cnf('0.195.1.0',plain,
% 52.76/53.13 ( mult(ld(op_d,unit),op_c) = ld(op_d,rd(unit,rd(unit,op_c))) ),
% 52.76/53.13 inference(weigh,[status(thm)],['0.195.0.0']),
% 52.76/53.13 [weight('<103,182,64,[0,0,0,2]>')]).
% 52.76/53.13 cnf('0.195.2.0',plain,
% 52.76/53.13 ( ld(op_d,rd(unit,rd(unit,op_c))) = mult(ld(op_d,unit),op_c) ),
% 52.76/53.13 inference(orient,[status(thm)],['0.195.1.0',theory(equality)]),
% 52.77/53.13 [x,rule_195]).
% 52.77/53.13 cnf('0.197.0.0',plain,
% 52.77/53.13 ( ld(rd(X1,op_d),unit) = ld(op_c,rd(ld(X1,op_d),op_d)) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.6.2.0','0.186.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.2','L')]).
% 52.77/53.13 cnf('0.197.1.0',plain,
% 52.77/53.13 ( ld(rd(X1,op_d),unit) = ld(op_c,rd(ld(X1,op_d),op_d)) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.197.0.0']),
% 52.77/53.13 [weight('<103,186,6,[0,0,0,2]>')]).
% 52.77/53.13 cnf('0.197.2.0',plain,
% 52.77/53.13 ( ld(op_c,rd(ld(X1,op_d),op_d)) = ld(rd(X1,op_d),unit) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.197.1.0',theory(equality)]),
% 52.77/53.13 [x,rule_197]).
% 52.77/53.13 cnf('0.199.0.0',plain,
% 52.77/53.13 ( ld(rd(X1,op_d),op_c) = rd(mult(op_d,ld(X1,unit)),op_d) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.5.2.0','0.187.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.1','L')]).
% 52.77/53.13 cnf('0.199.0.1',plain,
% 52.77/53.13 ( ld(rd(X1,op_d),op_c) = ld(op_c,rd(ld(X1,unit),op_d)) ),
% 52.77/53.13 inference(reduction,[status(thm)],['0.199.0.0','0.39.2.0',theory(equality)]),
% 52.77/53.13 [pos('R','L')]).
% 52.77/53.13 cnf('0.199.1.0',plain,
% 52.77/53.13 ( ld(rd(X1,op_d),op_c) = ld(op_c,rd(ld(X1,unit),op_d)) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.199.0.1']),
% 52.77/53.13 [weight('<103,187,5,[0,0,0,1]>')]).
% 52.77/53.13 cnf('0.199.2.0',plain,
% 52.77/53.13 ( ld(op_c,rd(ld(X1,unit),op_d)) = ld(rd(X1,op_d),op_c) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.199.1.0',theory(equality)]),
% 52.77/53.13 [x,rule_199]).
% 52.77/53.13 cnf('0.201.0.0',plain,
% 52.77/53.13 ( mult(rd(op_c,ld(op_c,X1)),op_d) = rd(unit,ld(op_d,ld(op_c,rd(X1,op_c)))) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.188.2.0','0.24.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.2.2','L')]).
% 52.77/53.13 cnf('0.201.0.1',plain,
% 52.77/53.13 ( mult(rd(op_c,ld(op_c,X1)),op_d) = rd(unit,mult(X1,op_d)) ),
% 52.77/53.13 inference(reduction,[status(thm)],['0.201.0.0','0.26.2.0',theory(equality)]),
% 52.77/53.13 [pos('R.2','L')]).
% 52.77/53.13 cnf('0.201.1.0',plain,
% 52.77/53.13 ( mult(rd(op_c,ld(op_c,X1)),op_d) = rd(unit,mult(X1,op_d)) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.201.0.1']),
% 52.77/53.13 [weight('<103,188,24,[1,0,0,4]>')]).
% 52.77/53.13 cnf('0.201.2.0',plain,
% 52.77/53.13 ( mult(rd(op_c,ld(op_c,X1)),op_d) = rd(unit,mult(X1,op_d)) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.201.1.0',theory(equality)]),
% 52.77/53.13 [u,rule_201]).
% 52.77/53.13 cnf('0.202.0.0',plain,
% 52.77/53.13 ( ld(rd(rd(X1,X2),X1),unit) = rd(mult(X1,X2),X1) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.190.2.0','0.17.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.1.2','L')]).
% 52.77/53.13 cnf('0.202.1.0',plain,
% 52.77/53.13 ( ld(rd(rd(X1,X2),X1),unit) = rd(mult(X1,X2),X1) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.202.0.0']),
% 52.77/53.13 [weight('<103,190,17,[1,0,0,3]>')]).
% 52.77/53.13 cnf('0.202.2.0',plain,
% 52.77/53.13 ( ld(rd(rd(X1,X2),X1),unit) = rd(mult(X1,X2),X1) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.202.1.0',theory(equality)]),
% 52.77/53.13 [u,rule_202]).
% 52.77/53.13 cnf('0.204.0.0',plain,
% 52.77/53.13 ( rd(unit,rd(X1,X2)) = rd(rd(X2,ld(X2,X1)),X2) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.5.2.0','0.192.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.1','L')]).
% 52.77/53.13 cnf('0.204.1.0',plain,
% 52.77/53.13 ( rd(unit,rd(X1,X2)) = rd(rd(X2,ld(X2,X1)),X2) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.204.0.0']),
% 52.77/53.13 [weight('<103,192,5,[0,0,0,1]>')]).
% 52.77/53.13 cnf('0.204.2.0',plain,
% 52.77/53.13 ( rd(rd(X1,ld(X1,X2)),X1) = rd(unit,rd(X2,X1)) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.204.1.0',theory(equality)]),
% 52.77/53.13 [x,rule_204]).
% 52.77/53.13 cnf('0.205.0.0',plain,
% 52.77/53.13 ( rd(unit,ld(op_c,X1)) = rd(rd(op_d,mult(X1,op_d)),op_d) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.5.2.0','0.193.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.1','L')]).
% 52.77/53.13 cnf('0.205.1.0',plain,
% 52.77/53.13 ( rd(unit,ld(op_c,X1)) = rd(rd(op_d,mult(X1,op_d)),op_d) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.205.0.0']),
% 52.77/53.13 [weight('<103,193,5,[0,0,0,1]>')]).
% 52.77/53.13 cnf('0.205.2.0',plain,
% 52.77/53.13 ( rd(rd(op_d,mult(X1,op_d)),op_d) = rd(unit,ld(op_c,X1)) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.205.1.0',theory(equality)]),
% 52.77/53.13 [x,rule_205]).
% 52.77/53.13 cnf('0.206.0.0',plain,
% 52.77/53.13 ( rd(unit,mult(op_c,X1)) = rd(rd(op_c,rd(X1,op_d)),op_c) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.5.2.0','0.194.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.1','L')]).
% 52.77/53.13 cnf('0.206.1.0',plain,
% 52.77/53.13 ( rd(unit,mult(op_c,X1)) = rd(rd(op_c,rd(X1,op_d)),op_c) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.206.0.0']),
% 52.77/53.13 [weight('<103,194,5,[0,0,0,1]>')]).
% 52.77/53.13 cnf('0.206.2.0',plain,
% 52.77/53.13 ( rd(rd(op_c,rd(X1,op_d)),op_c) = rd(unit,mult(op_c,X1)) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.206.1.0',theory(equality)]),
% 52.77/53.13 [x,rule_206]).
% 52.77/53.13 cnf('0.208.0.0',plain,
% 52.77/53.13 ( mult(mult(X1,X2),ld(X2,X3)) = mult(mult(X1,ld(X2,X3)),ld(ld(X2,X3),X3)) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.8.2.0','0.1.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.2.2','L')]).
% 52.77/53.13 cnf('0.208.1.0',plain,
% 52.77/53.13 ( mult(mult(X1,X2),ld(X2,X3)) = mult(mult(X1,ld(X2,X3)),ld(ld(X2,X3),X3)) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.208.0.0']),
% 52.77/53.13 [weight('<?,8,1,[1,0,0,6]>')]).
% 52.77/53.13 cnf('0.208.2.0',plain,
% 52.77/53.13 ( mult(mult(X1,ld(X2,X3)),ld(ld(X2,X3),X3)) = mult(mult(X1,X2),ld(X2,X3)) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.208.1.0',theory(equality)]),
% 52.77/53.13 [x,rule_208]).
% 52.77/53.13 cnf('0.209.0.0',plain,
% 52.77/53.13 ( ld(rd(rd(unit,X1),op_d),op_c) = ld(op_c,rd(X1,op_d)) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.199.2.0','0.17.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.2.1','L')]).
% 52.77/53.13 cnf('0.209.1.0',plain,
% 52.77/53.13 ( ld(rd(rd(unit,X1),op_d),op_c) = ld(op_c,rd(X1,op_d)) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.209.0.0']),
% 52.77/53.13 [weight('<103,199,17,[1,0,0,3]>')]).
% 52.77/53.13 cnf('0.209.2.0',plain,
% 52.77/53.13 ( ld(rd(rd(unit,X1),op_d),op_c) = ld(op_c,rd(X1,op_d)) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.209.1.0',theory(equality)]),
% 52.77/53.13 [u,rule_209]).
% 52.77/53.13 cnf('0.212.0.0',plain,
% 52.77/53.13 ( rd(rd(X1,X2),X1) = rd(unit,rd(mult(X1,X2),X1)) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.16.2.0','0.202.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.2','L')]).
% 52.77/53.13 cnf('0.212.1.0',plain,
% 52.77/53.13 ( rd(rd(X1,X2),X1) = rd(unit,rd(mult(X1,X2),X1)) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.212.0.0']),
% 52.77/53.13 [weight('<103,202,16,[0,0,0,2]>')]).
% 52.77/53.13 cnf('0.212.2.0',plain,
% 52.77/53.13 ( rd(unit,rd(mult(X1,X2),X1)) = rd(rd(X1,X2),X1) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.212.1.0',theory(equality)]),
% 52.77/53.13 [x,rule_212]).
% 52.77/53.13 cnf('0.214.0.0',plain,
% 52.77/53.13 ( rd(rd(unit,X1),op_d) = rd(op_c,ld(op_c,rd(X1,op_d))) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.16.2.0','0.209.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.2','L')]).
% 52.77/53.13 cnf('0.214.1.0',plain,
% 52.77/53.13 ( rd(rd(unit,X1),op_d) = rd(op_c,ld(op_c,rd(X1,op_d))) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.214.0.0']),
% 52.77/53.13 [weight('<103,209,16,[0,0,0,2]>')]).
% 52.77/53.13 cnf('0.214.2.0',plain,
% 52.77/53.13 ( rd(op_c,ld(op_c,rd(X1,op_d))) = rd(rd(unit,X1),op_d) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.214.1.0',theory(equality)]),
% 52.77/53.13 [x,rule_214]).
% 52.77/53.13 cnf('0.218.0.0',plain,
% 52.77/53.13 ( mult(rd(unit,op_c),ld(X1,unit)) = rd(ld(mult(X1,op_c),op_c),op_c) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.46.2.0','0.168.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.1','L')]).
% 52.77/53.13 cnf('0.218.1.0',plain,
% 52.77/53.13 ( mult(rd(unit,op_c),ld(X1,unit)) = rd(ld(mult(X1,op_c),op_c),op_c) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.218.0.0']),
% 52.77/53.13 [weight('<119,168,46,[0,0,0,1]>')]).
% 52.77/53.13 cnf('0.218.2.0',plain,
% 52.77/53.13 ( mult(rd(unit,op_c),ld(X1,unit)) = rd(ld(mult(X1,op_c),op_c),op_c) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.218.1.0',theory(equality)]),
% 52.77/53.13 [u,rule_218]).
% 52.77/53.13 cnf('0.224.0.0',plain,
% 52.77/53.13 ( mult(rd(op_c,mult(op_d,X1)),op_d) = rd(unit,rd(X1,ld(op_d,unit))) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.188.2.0','0.110.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.2','L')]).
% 52.77/53.13 cnf('0.224.1.0',plain,
% 52.77/53.13 ( mult(rd(op_c,mult(op_d,X1)),op_d) = rd(unit,rd(X1,ld(op_d,unit))) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.224.0.0']),
% 52.77/53.13 [weight('<119,188,110,[1,0,0,2]>')]).
% 52.77/53.13 cnf('0.224.2.0',plain,
% 52.77/53.13 ( mult(rd(op_c,mult(op_d,X1)),op_d) = rd(unit,rd(X1,ld(op_d,unit))) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.224.1.0',theory(equality)]),
% 52.77/53.13 [u,rule_224]).
% 52.77/53.13 cnf('0.225.0.0',plain,
% 52.77/53.13 ( mult(rd(op_c,ld(X1,unit)),op_d) = rd(unit,ld(mult(X1,op_d),op_d)) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.188.2.0','0.168.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.2','L')]).
% 52.77/53.13 cnf('0.225.1.0',plain,
% 52.77/53.13 ( mult(rd(op_c,ld(X1,unit)),op_d) = rd(unit,ld(mult(X1,op_d),op_d)) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.225.0.0']),
% 52.77/53.13 [weight('<119,188,168,[1,0,0,2]>')]).
% 52.77/53.13 cnf('0.225.2.0',plain,
% 52.77/53.13 ( mult(rd(op_c,ld(X1,unit)),op_d) = rd(unit,ld(mult(X1,op_d),op_d)) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.225.1.0',theory(equality)]),
% 52.77/53.13 [u,rule_225]).
% 52.77/53.13 cnf('0.238.0.0',plain,
% 52.77/53.13 ( rd(unit,mult(op_c,ld(op_d,ld(op_c,X1)))) = rd(rd(op_c,mult(X1,op_c)),op_c) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.206.2.0','0.40.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.1.2','L')]).
% 52.77/53.13 cnf('0.238.0.1',plain,
% 52.77/53.13 ( rd(unit,ld(rd(unit,op_c),X1)) = rd(rd(op_c,mult(X1,op_c)),op_c) ),
% 52.77/53.13 inference(reduction,[status(thm)],['0.238.0.0','0.147.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.2','L')]).
% 52.77/53.13 cnf('0.238.1.0',plain,
% 52.77/53.13 ( rd(unit,ld(rd(unit,op_c),X1)) = rd(rd(op_c,mult(X1,op_c)),op_c) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.238.0.1']),
% 52.77/53.13 [weight('<119,206,40,[1,0,0,3]>')]).
% 52.77/53.13 cnf('0.238.2.0',plain,
% 52.77/53.13 ( rd(rd(op_c,mult(X1,op_c)),op_c) = rd(unit,ld(rd(unit,op_c),X1)) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.238.1.0',theory(equality)]),
% 52.77/53.13 [x,rule_238]).
% 52.77/53.13 cnf('0.239.0.0',plain,
% 52.77/53.13 ( mult(mult(X1,ld(op_c,X2)),ld(ld(op_c,X2),ld(op_c,rd(X2,op_c)))) = mult(mult(X1,op_d),ld(ld(ld(op_c,X2),ld(op_c,rd(X2,op_c))),ld(op_c,rd(X2,op_c)))) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.208.2.0','0.69.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.1.2','L')]).
% 52.77/53.13 cnf('0.239.0.1',plain,
% 52.77/53.13 ( mult(mult(X1,ld(op_c,X2)),op_d) = mult(mult(X1,op_d),ld(ld(ld(op_c,X2),ld(op_c,rd(X2,op_c))),ld(op_c,rd(X2,op_c)))) ),
% 52.77/53.13 inference(reduction,[status(thm)],['0.239.0.0','0.69.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.2','L')]).
% 52.77/53.13 cnf('0.239.0.2',plain,
% 52.77/53.13 ( mult(mult(X1,ld(op_c,X2)),op_d) = mult(mult(X1,op_d),ld(op_d,ld(op_c,rd(X2,op_c)))) ),
% 52.77/53.13 inference(reduction,[status(thm)],['0.239.0.1','0.69.2.0',theory(equality)]),
% 52.77/53.13 [pos('R.2.1','L')]).
% 52.77/53.13 cnf('0.239.0.3',plain,
% 52.77/53.13 ( mult(mult(X1,ld(op_c,X2)),op_d) = mult(mult(X1,op_d),mult(X2,op_d)) ),
% 52.77/53.13 inference(reduction,[status(thm)],['0.239.0.2','0.26.2.0',theory(equality)]),
% 52.77/53.13 [pos('R.2','L')]).
% 52.77/53.13 cnf('0.239.1.0',plain,
% 52.77/53.13 ( mult(mult(X1,ld(op_c,X2)),op_d) = mult(mult(X1,op_d),mult(X2,op_d)) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.239.0.3']),
% 52.77/53.13 [weight('<119,208,69,[1,0,0,3]>')]).
% 52.77/53.13 cnf('0.239.2.0',plain,
% 52.77/53.13 ( mult(mult(X1,ld(op_c,X2)),op_d) = mult(mult(X1,op_d),mult(X2,op_d)) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.239.1.0',theory(equality)]),
% 52.77/53.13 [u,rule_239]).
% 52.77/53.13 cnf('0.262.0.0',plain,
% 52.77/53.13 ( mult(X1,mult(ld(X1,X2),ld(X1,X3))) = mult(rd(X2,X1),X3) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.80.2.0','0.1.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.2','L')]).
% 52.77/53.13 cnf('0.262.1.0',plain,
% 52.77/53.13 ( mult(X1,mult(ld(X1,X2),ld(X1,X3))) = mult(rd(X2,X1),X3) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.262.0.0']),
% 52.77/53.13 [weight('<149,80,1,[1,0,0,4]>')]).
% 52.77/53.13 cnf('0.262.2.0',plain,
% 52.77/53.13 ( mult(X1,mult(ld(X1,X2),ld(X1,X3))) = mult(rd(X2,X1),X3) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.262.1.0',theory(equality)]),
% 52.77/53.13 [u,rule_262]).
% 52.77/53.13 cnf('0.263.0.0',plain,
% 52.77/53.13 ( mult(ld(X1,X2),ld(X1,X3)) = ld(X1,mult(rd(X2,X1),X3)) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.6.2.0','0.262.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.2','L')]).
% 52.77/53.13 cnf('0.263.1.0',plain,
% 52.77/53.13 ( mult(ld(X1,X2),ld(X1,X3)) = ld(X1,mult(rd(X2,X1),X3)) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.263.0.0']),
% 52.77/53.13 [weight('<119,262,6,[0,0,0,2]>')]).
% 52.77/53.13 cnf('0.263.2.0',plain,
% 52.77/53.13 ( mult(ld(X1,X2),ld(X1,X3)) = ld(X1,mult(rd(X2,X1),X3)) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.263.1.0',theory(equality)]),
% 52.77/53.13 [u,rule_263]).
% 52.77/53.13 cnf('0.264.0.0',plain,
% 52.77/53.13 ( ld(op_d,mult(rd(ld(op_c,rd(X1,op_c)),op_d),X2)) = mult(mult(X1,op_d),ld(op_d,X2)) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.263.2.0','0.26.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.1','L')]).
% 52.77/53.13 cnf('0.264.0.1',plain,
% 52.77/53.13 ( ld(op_d,mult(ld(op_c,mult(rd(X1,op_c),op_c)),X2)) = mult(mult(X1,op_d),ld(op_d,X2)) ),
% 52.77/53.13 inference(reduction,[status(thm)],['0.264.0.0','0.37.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.2.1','L')]).
% 52.77/53.13 cnf('0.264.0.2',plain,
% 52.77/53.13 ( ld(op_d,mult(ld(op_c,X1),X2)) = mult(mult(X1,op_d),ld(op_d,X2)) ),
% 52.77/53.13 inference(reduction,[status(thm)],['0.264.0.1','0.4.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.2.1.2','L')]).
% 52.77/53.13 cnf('0.264.1.0',plain,
% 52.77/53.13 ( ld(op_d,mult(ld(op_c,X1),X2)) = mult(mult(X1,op_d),ld(op_d,X2)) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.264.0.2']),
% 52.77/53.13 [weight('<119,263,26,[1,0,0,1]>')]).
% 52.77/53.13 cnf('0.264.2.0',plain,
% 52.77/53.13 ( mult(mult(X1,op_d),ld(op_d,X2)) = ld(op_d,mult(ld(op_c,X1),X2)) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.264.1.0',theory(equality)]),
% 52.77/53.13 [x,rule_264]).
% 52.77/53.13 cnf('0.265.0.0',plain,
% 52.77/53.13 ( ld(op_c,mult(rd(rd(ld(op_d,X1),op_d),op_c),X2)) = mult(rd(X1,op_d),ld(op_c,X2)) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.263.2.0','0.41.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.1','L')]).
% 52.77/53.13 cnf('0.265.0.1',plain,
% 52.77/53.13 ( ld(op_c,mult(mult(op_c,X1),X2)) = mult(rd(X1,op_d),ld(op_c,X2)) ),
% 52.77/53.13 inference(reduction,[status(thm)],['0.265.0.0','0.34.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.2.1','L')]).
% 52.77/53.13 cnf('0.265.1.0',plain,
% 52.77/53.13 ( ld(op_c,mult(mult(op_c,X1),X2)) = mult(rd(X1,op_d),ld(op_c,X2)) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.265.0.1']),
% 52.77/53.13 [weight('<119,263,41,[1,0,0,1]>')]).
% 52.77/53.13 cnf('0.265.2.0',plain,
% 52.77/53.13 ( mult(rd(X1,op_d),ld(op_c,X2)) = ld(op_c,mult(mult(op_c,X1),X2)) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.265.1.0',theory(equality)]),
% 52.77/53.13 [x,rule_265]).
% 52.77/53.13 cnf('0.266.0.0',plain,
% 52.77/53.13 ( ld(op_c,mult(mult(op_c,X1),rd(unit,op_c))) = mult(rd(X1,op_d),mult(op_d,op_d)) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.265.2.0','0.23.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.2','L')]).
% 52.77/53.13 cnf('0.266.0.1',plain,
% 52.77/53.13 ( ld(op_c,mult(mult(op_c,X1),rd(unit,op_c))) = mult(op_d,mult(ld(op_d,X1),op_d)) ),
% 52.77/53.13 inference(reduction,[status(thm)],['0.266.0.0','0.80.2.0',theory(equality)]),
% 52.77/53.13 [pos('R','L')]).
% 52.77/53.13 cnf('0.266.0.2',plain,
% 52.77/53.13 ( ld(op_c,mult(mult(op_c,X1),rd(unit,op_c))) = ld(op_c,rd(ld(op_d,X1),op_c)) ),
% 52.77/53.13 inference(reduction,[status(thm)],['0.266.0.1','0.27.2.0',theory(equality)]),
% 52.77/53.13 [pos('R','L')]).
% 52.77/53.13 cnf('0.266.1.0',plain,
% 52.77/53.13 ( mult(mult(op_c,X1),rd(unit,op_c)) = rd(ld(op_d,X1),op_c) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.266.0.2']),
% 52.77/53.13 [weight('<103,265,23,[1,0,0,4]>')]).
% 52.77/53.13 cnf('0.266.2.0',plain,
% 52.77/53.13 ( mult(mult(op_c,X1),rd(unit,op_c)) = rd(ld(op_d,X1),op_c) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.266.1.0',theory(equality)]),
% 52.77/53.13 [u,rule_266]).
% 52.77/53.13 cnf('0.267.0.0',plain,
% 52.77/53.13 ( rd(ld(op_d,ld(op_c,X1)),op_c) = mult(X1,rd(unit,op_c)) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.266.2.0','0.1.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.1','L')]).
% 52.77/53.13 cnf('0.267.1.0',plain,
% 52.77/53.13 ( rd(ld(op_d,ld(op_c,X1)),op_c) = mult(X1,rd(unit,op_c)) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.267.0.0']),
% 52.77/53.13 [weight('<103,266,1,[1,0,0,1]>')]).
% 52.77/53.13 cnf('0.267.2.0',plain,
% 52.77/53.13 ( rd(ld(op_d,ld(op_c,X1)),op_c) = mult(X1,rd(unit,op_c)) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.267.1.0',theory(equality)]),
% 52.77/53.13 [u,rule_267]).
% 52.77/53.13 cnf('0.269.0.0',plain,
% 52.77/53.13 ( ld(op_d,mult(ld(op_c,mult(X1,rd(X2,op_d))),X3)) = mult(mult(mult(X1,op_d),ld(op_d,X2)),ld(op_d,X3)) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.264.2.0','0.82.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.1','L')]).
% 52.77/53.13 cnf('0.269.0.1',plain,
% 52.77/53.13 ( ld(op_d,mult(ld(op_c,mult(X1,rd(X2,op_d))),X3)) = mult(ld(op_d,mult(ld(op_c,X1),X2)),ld(op_d,X3)) ),
% 52.77/53.13 inference(reduction,[status(thm)],['0.269.0.0','0.264.2.0',theory(equality)]),
% 52.77/53.13 [pos('R.1','L')]).
% 52.77/53.13 cnf('0.269.0.2',plain,
% 52.77/53.13 ( ld(op_d,mult(ld(op_c,mult(X1,rd(X2,op_d))),X3)) = ld(op_d,mult(rd(mult(ld(op_c,X1),X2),op_d),X3)) ),
% 52.77/53.13 inference(reduction,[status(thm)],['0.269.0.1','0.263.2.0',theory(equality)]),
% 52.77/53.13 [pos('R','L')]).
% 52.77/53.13 cnf('0.269.1.0',plain,
% 52.77/53.13 ( ld(op_c,mult(X1,rd(X2,op_d))) = rd(mult(ld(op_c,X1),X2),op_d) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.269.0.2']),
% 52.77/53.13 [weight('<119,264,82,[1,0,0,1]>')]).
% 52.77/53.13 cnf('0.269.2.0',plain,
% 52.77/53.13 ( rd(mult(ld(op_c,X1),X2),op_d) = ld(op_c,mult(X1,rd(X2,op_d))) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.269.1.0',theory(equality)]),
% 52.77/53.13 [x,rule_269]).
% 52.77/53.13 cnf('0.271.0.0',plain,
% 52.77/53.13 ( mult(mult(op_d,X1),rd(unit,op_c)) = rd(ld(ld(op_d,unit),X1),op_c) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.267.2.0','0.119.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.1','L')]).
% 52.77/53.13 cnf('0.271.1.0',plain,
% 52.77/53.13 ( mult(mult(op_d,X1),rd(unit,op_c)) = rd(ld(ld(op_d,unit),X1),op_c) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.271.0.0']),
% 52.77/53.13 [weight('<119,267,119,[1,0,0,1]>')]).
% 52.77/53.13 cnf('0.271.2.0',plain,
% 52.77/53.13 ( mult(mult(op_d,X1),rd(unit,op_c)) = rd(ld(ld(op_d,unit),X1),op_c) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.271.1.0',theory(equality)]),
% 52.77/53.13 [u,rule_271]).
% 52.77/53.13 cnf('0.277.0.0',plain,
% 52.77/53.13 ( mult(op_c,X1) = rd(rd(ld(op_d,X1),op_c),rd(unit,op_c)) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.5.2.0','0.266.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.1','L')]).
% 52.77/53.13 cnf('0.277.1.0',plain,
% 52.77/53.13 ( mult(op_c,X1) = rd(rd(ld(op_d,X1),op_c),rd(unit,op_c)) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.277.0.0']),
% 52.77/53.13 [weight('<129,266,5,[0,0,0,1]>')]).
% 52.77/53.13 cnf('0.277.2.0',plain,
% 52.77/53.13 ( rd(rd(ld(op_d,X1),op_c),rd(unit,op_c)) = mult(op_c,X1) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.277.1.0',theory(equality)]),
% 52.77/53.13 [x,rule_277]).
% 52.77/53.13 cnf('0.278.0.0',plain,
% 52.77/53.13 ( mult(op_c,mult(op_d,X1)) = rd(rd(X1,op_c),rd(unit,op_c)) ),
% 52.77/53.13 inference(cp,[status(thm)],['0.277.2.0','0.6.2.0',theory(equality)]),
% 52.77/53.13 [pos('L.1.1','L')]).
% 52.77/53.13 cnf('0.278.0.1',plain,
% 52.77/53.13 ( rd(rd(X1,op_d),op_c) = rd(rd(X1,op_c),rd(unit,op_c)) ),
% 52.77/53.13 inference(reduction,[status(thm)],['0.278.0.0','0.35.2.0',theory(equality)]),
% 52.77/53.13 [pos('L','L')]).
% 52.77/53.13 cnf('0.278.1.0',plain,
% 52.77/53.13 ( rd(rd(X1,op_d),op_c) = rd(rd(X1,op_c),rd(unit,op_c)) ),
% 52.77/53.13 inference(weigh,[status(thm)],['0.278.0.1']),
% 52.77/53.13 [weight('<103,277,6,[1,0,0,2]>')]).
% 52.77/53.13 cnf('0.278.2.0',plain,
% 52.77/53.13 ( rd(rd(X1,op_c),rd(unit,op_c)) = rd(rd(X1,op_d),op_c) ),
% 52.77/53.13 inference(orient,[status(thm)],['0.278.1.0',theory(equality)]),
% 52.77/53.13 [x,rule_278]).
% 52.77/53.13 cnf('0.279.0.0',plain,
% 52.77/53.14 ( rd(rd(mult(X1,op_c),op_d),op_c) = rd(X1,rd(unit,op_c)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.278.2.0','0.5.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.279.1.0',plain,
% 52.77/53.14 ( rd(rd(mult(X1,op_c),op_d),op_c) = rd(X1,rd(unit,op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.279.0.0']),
% 52.77/53.14 [weight('<103,278,5,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.279.2.0',plain,
% 52.77/53.14 ( rd(rd(mult(X1,op_c),op_d),op_c) = rd(X1,rd(unit,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.279.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_279]).
% 52.77/53.14 cnf('0.280.0.0',plain,
% 52.77/53.14 ( rd(mult(X1,op_c),op_d) = mult(rd(X1,rd(unit,op_c)),op_c) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.4.2.0','0.279.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.280.1.0',plain,
% 52.77/53.14 ( rd(mult(X1,op_c),op_d) = mult(rd(X1,rd(unit,op_c)),op_c) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.280.0.0']),
% 52.77/53.14 [weight('<103,279,4,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.280.2.0',plain,
% 52.77/53.14 ( mult(rd(X1,rd(unit,op_c)),op_c) = rd(mult(X1,op_c),op_d) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.280.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_280]).
% 52.77/53.14 cnf('0.283.0.0',plain,
% 52.77/53.14 ( mult(ld(op_d,unit),mult(X1,op_c)) = ld(op_d,rd(X1,rd(unit,op_c))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.64.2.0','0.279.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.283.1.0',plain,
% 52.77/53.14 ( mult(ld(op_d,unit),mult(X1,op_c)) = ld(op_d,rd(X1,rd(unit,op_c))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.283.0.0']),
% 52.77/53.14 [weight('<119,279,64,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.283.2.0',plain,
% 52.77/53.14 ( mult(ld(op_d,unit),mult(X1,op_c)) = ld(op_d,rd(X1,rd(unit,op_c))) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.283.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_283]).
% 52.77/53.14 cnf('0.288.0.0',plain,
% 52.77/53.14 ( mult(X1,mult(ld(X1,mult(X2,X1)),X3)) = mult(X2,mult(X1,X3)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.80.2.0','0.5.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.288.1.0',plain,
% 52.77/53.14 ( mult(X1,mult(ld(X1,mult(X2,X1)),X3)) = mult(X2,mult(X1,X3)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.288.0.0']),
% 52.77/53.14 [weight('<149,80,5,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.288.2.0',plain,
% 52.77/53.14 ( mult(X1,mult(ld(X1,mult(X2,X1)),X3)) = mult(X2,mult(X1,X3)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.288.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_288]).
% 52.77/53.14 cnf('0.289.0.0',plain,
% 52.77/53.14 ( mult(ld(X1,mult(X2,X1)),X3) = ld(X1,mult(X2,mult(X1,X3))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.6.2.0','0.288.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.289.1.0',plain,
% 52.77/53.14 ( mult(ld(X1,mult(X2,X1)),X3) = ld(X1,mult(X2,mult(X1,X3))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.289.0.0']),
% 52.77/53.14 [weight('<119,288,6,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.289.2.0',plain,
% 52.77/53.14 ( mult(ld(X1,mult(X2,X1)),X3) = ld(X1,mult(X2,mult(X1,X3))) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.289.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_289]).
% 52.77/53.14 cnf('0.290.0.0',plain,
% 52.77/53.14 ( mult(op_d,mult(ld(op_d,mult(op_d,X1)),X2)) = mult(ld(op_c,rd(X1,op_d)),mult(op_d,X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.80.2.0','0.39.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.290.0.1',plain,
% 52.77/53.14 ( mult(op_d,mult(X1,X2)) = mult(ld(op_c,rd(X1,op_d)),mult(op_d,X2)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.290.0.0','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.290.1.0',plain,
% 52.77/53.14 ( mult(op_d,mult(X1,X2)) = mult(ld(op_c,rd(X1,op_d)),mult(op_d,X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.290.0.1']),
% 52.77/53.14 [weight('<149,80,39,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.290.2.0',plain,
% 52.77/53.14 ( mult(ld(op_c,rd(X1,op_d)),mult(op_d,X2)) = mult(op_d,mult(X1,X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.290.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_290]).
% 52.77/53.14 cnf('0.291.0.0',plain,
% 52.77/53.14 ( mult(op_d,mult(X1,ld(op_d,X2))) = mult(ld(op_c,rd(X1,op_d)),X2) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.290.2.0','0.1.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.291.1.0',plain,
% 52.77/53.14 ( mult(op_d,mult(X1,ld(op_d,X2))) = mult(ld(op_c,rd(X1,op_d)),X2) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.291.0.0']),
% 52.77/53.14 [weight('<119,290,1,[1,0,0,6]>')]).
% 52.77/53.14 cnf('0.291.2.0',plain,
% 52.77/53.14 ( mult(ld(op_c,rd(X1,op_d)),X2) = mult(op_d,mult(X1,ld(op_d,X2))) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.291.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_291]).
% 52.77/53.14 cnf('0.293.0.0',plain,
% 52.77/53.14 ( ld(op_c,mult(rd(X1,op_d),rd(X2,op_d))) = rd(mult(op_d,mult(X1,ld(op_d,X2))),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.269.2.0','0.291.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.293.0.1',plain,
% 52.77/53.14 ( ld(op_c,mult(rd(X1,op_d),rd(X2,op_d))) = ld(op_c,rd(mult(X1,ld(op_d,X2)),op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.293.0.0','0.39.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.293.1.0',plain,
% 52.77/53.14 ( mult(rd(X1,op_d),rd(X2,op_d)) = rd(mult(X1,ld(op_d,X2)),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.293.0.1']),
% 52.77/53.14 [weight('<119,291,269,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.293.2.0',plain,
% 52.77/53.14 ( mult(rd(X1,op_d),rd(X2,op_d)) = rd(mult(X1,ld(op_d,X2)),op_d) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.293.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_293]).
% 52.77/53.14 cnf('0.294.0.0',plain,
% 52.77/53.14 ( rd(mult(ld(op_d,mult(X1,op_d)),ld(op_d,X2)),op_d) = mult(mult(op_c,X1),rd(X2,op_d)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.293.2.0','0.29.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.294.0.1',plain,
% 52.77/53.14 ( rd(ld(op_d,mult(X1,mult(op_d,ld(op_d,X2)))),op_d) = mult(mult(op_c,X1),rd(X2,op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.294.0.0','0.289.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.294.0.2',plain,
% 52.77/53.14 ( rd(ld(op_d,mult(X1,X2)),op_d) = mult(mult(op_c,X1),rd(X2,op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.294.0.1','0.1.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2.2','L')]).
% 52.77/53.14 cnf('0.294.1.0',plain,
% 52.77/53.14 ( rd(ld(op_d,mult(X1,X2)),op_d) = mult(mult(op_c,X1),rd(X2,op_d)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.294.0.2']),
% 52.77/53.14 [weight('<119,293,29,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.294.2.0',plain,
% 52.77/53.14 ( mult(mult(op_c,X1),rd(X2,op_d)) = rd(ld(op_d,mult(X1,X2)),op_d) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.294.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_294]).
% 52.77/53.14 cnf('0.295.0.0',plain,
% 52.77/53.14 ( mult(rd(X1,X2),X3) = rd(mult(X1,ld(X2,mult(X3,X2))),X2) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.5.2.0','0.81.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.295.1.0',plain,
% 52.77/53.14 ( mult(rd(X1,X2),X3) = rd(mult(X1,ld(X2,mult(X3,X2))),X2) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.295.0.0']),
% 52.77/53.14 [weight('<149,81,5,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.295.2.0',plain,
% 52.77/53.14 ( rd(mult(X1,ld(X2,mult(X3,X2))),X2) = mult(rd(X1,X2),X3) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.295.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_295]).
% 52.77/53.14 cnf('0.296.0.0',plain,
% 52.77/53.14 ( mult(rd(unit,X1),X2) = rd(ld(X1,mult(X2,X1)),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.295.2.0','0.3.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.296.1.0',plain,
% 52.77/53.14 ( mult(rd(unit,X1),X2) = rd(ld(X1,mult(X2,X1)),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.296.0.0']),
% 52.77/53.14 [weight('<103,295,3,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.296.2.0',plain,
% 52.77/53.14 ( rd(ld(X1,mult(X2,X1)),X1) = mult(rd(unit,X1),X2) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.296.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_296]).
% 52.77/53.14 cnf('0.298.0.0',plain,
% 52.77/53.14 ( mult(rd(X1,X2),rd(X3,X2)) = rd(mult(X1,ld(X2,X3)),X2) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.295.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2.2','L')]).
% 52.77/53.14 cnf('0.298.1.0',plain,
% 52.77/53.14 ( mult(rd(X1,X2),rd(X3,X2)) = rd(mult(X1,ld(X2,X3)),X2) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.298.0.0']),
% 52.77/53.14 [weight('<119,295,4,[1,0,0,5]>')]).
% 52.77/53.14 cnf('0.298.2.0',plain,
% 52.77/53.14 ( mult(rd(X1,X2),rd(X3,X2)) = rd(mult(X1,ld(X2,X3)),X2) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.298.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_298]).
% 52.77/53.14 cnf('0.299.0.0',plain,
% 52.77/53.14 ( mult(rd(X1,op_d),ld(op_c,X2)) = rd(mult(X1,ld(op_d,ld(op_c,rd(X2,op_c)))),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.295.2.0','0.24.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2.2','L')]).
% 52.77/53.14 cnf('0.299.0.1',plain,
% 52.77/53.14 ( ld(op_c,mult(mult(op_c,X1),X2)) = rd(mult(X1,ld(op_d,ld(op_c,rd(X2,op_c)))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.299.0.0','0.265.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.299.0.2',plain,
% 52.77/53.14 ( ld(op_c,mult(mult(op_c,X1),X2)) = rd(mult(X1,mult(X2,op_d)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.299.0.1','0.26.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1.2','L')]).
% 52.77/53.14 cnf('0.299.1.0',plain,
% 52.77/53.14 ( ld(op_c,mult(mult(op_c,X1),X2)) = rd(mult(X1,mult(X2,op_d)),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.299.0.2']),
% 52.77/53.14 [weight('<119,295,24,[1,0,0,5]>')]).
% 52.77/53.14 cnf('0.299.2.0',plain,
% 52.77/53.14 ( rd(mult(X1,mult(X2,op_d)),op_d) = ld(op_c,mult(mult(op_c,X1),X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.299.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_299]).
% 52.77/53.14 cnf('0.300.0.0',plain,
% 52.77/53.14 ( rd(op_d,ld(op_d,mult(X1,mult(X2,op_d)))) = mult(rd(unit,ld(op_c,mult(mult(op_c,X1),X2))),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.192.2.0','0.299.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.300.0.1',plain,
% 52.77/53.14 ( rd(op_d,ld(op_d,mult(X1,mult(X2,op_d)))) = rd(op_d,mult(mult(mult(op_c,X1),X2),op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.300.0.0','0.193.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.300.1.0',plain,
% 52.77/53.14 ( ld(op_d,mult(X1,mult(X2,op_d))) = mult(mult(mult(op_c,X1),X2),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.300.0.1']),
% 52.77/53.14 [weight('<119,299,192,[0,0,0,3]>')]).
% 52.77/53.14 cnf('0.300.2.0',plain,
% 52.77/53.14 ( mult(mult(mult(op_c,X1),X2),op_d) = ld(op_d,mult(X1,mult(X2,op_d))) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.300.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_300]).
% 52.77/53.14 cnf('0.301.0.0',plain,
% 52.77/53.14 ( rd(unit,mult(op_c,mult(X1,mult(X2,op_d)))) = rd(rd(op_c,ld(op_c,mult(mult(op_c,X1),X2))),op_c) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.206.2.0','0.299.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.301.0.1',plain,
% 52.77/53.14 ( rd(unit,mult(op_c,mult(X1,mult(X2,op_d)))) = rd(unit,rd(mult(mult(op_c,X1),X2),op_c)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.301.0.0','0.204.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.301.1.0',plain,
% 52.77/53.14 ( mult(op_c,mult(X1,mult(X2,op_d))) = rd(mult(mult(op_c,X1),X2),op_c) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.301.0.1']),
% 52.77/53.14 [weight('<119,299,206,[0,0,0,3]>')]).
% 52.77/53.14 cnf('0.301.2.0',plain,
% 52.77/53.14 ( mult(op_c,mult(X1,mult(X2,op_d))) = rd(mult(mult(op_c,X1),X2),op_c) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.301.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_301]).
% 52.77/53.14 cnf('0.302.0.0',plain,
% 52.77/53.14 ( mult(X1,rd(X2,X3)) = rd(mult(mult(X1,X3),ld(X3,X2)),X3) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.5.2.0','0.82.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.302.1.0',plain,
% 52.77/53.14 ( mult(X1,rd(X2,X3)) = rd(mult(mult(X1,X3),ld(X3,X2)),X3) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.302.0.0']),
% 52.77/53.14 [weight('<149,82,5,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.302.2.0',plain,
% 52.77/53.14 ( rd(mult(mult(X1,X2),ld(X2,X3)),X2) = mult(X1,rd(X3,X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.302.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_302]).
% 52.77/53.14 cnf('0.303.0.0',plain,
% 52.77/53.14 ( mult(X1,rd(mult(X2,X3),X2)) = rd(mult(mult(X1,X2),X3),X2) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.302.2.0','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.303.1.0',plain,
% 52.77/53.14 ( mult(X1,rd(mult(X2,X3),X2)) = rd(mult(mult(X1,X2),X3),X2) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.303.0.0']),
% 52.77/53.14 [weight('<119,302,6,[1,0,0,5]>')]).
% 52.77/53.14 cnf('0.303.2.0',plain,
% 52.77/53.14 ( mult(X1,rd(mult(X2,X3),X2)) = rd(mult(mult(X1,X2),X3),X2) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.303.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_303]).
% 52.77/53.14 cnf('0.304.0.0',plain,
% 52.77/53.14 ( rd(mult(mult(X1,op_d),X2),op_d) = mult(X1,ld(op_c,rd(X2,op_d))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.303.2.0','0.39.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.304.1.0',plain,
% 52.77/53.14 ( rd(mult(mult(X1,op_d),X2),op_d) = mult(X1,ld(op_c,rd(X2,op_d))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.304.0.0']),
% 52.77/53.14 [weight('<119,303,39,[1,0,0,2]>')]).
% 52.77/53.14 cnf('0.304.2.0',plain,
% 52.77/53.14 ( mult(X1,ld(op_c,rd(X2,op_d))) = rd(mult(mult(X1,op_d),X2),op_d) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.304.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_304]).
% 52.77/53.14 cnf('0.307.0.0',plain,
% 52.77/53.14 ( mult(mult(rd(X1,op_c),op_c),rd(X2,op_d)) = mult(mult(op_c,mult(ld(op_c,X1),X2)),op_c) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.96.2.0','0.80.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.307.0.1',plain,
% 52.77/53.14 ( mult(X1,rd(X2,op_d)) = mult(mult(op_c,mult(ld(op_c,X1),X2)),op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.307.0.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.307.0.2',plain,
% 52.77/53.14 ( mult(X1,rd(X2,op_d)) = rd(ld(op_d,mult(ld(op_c,X1),X2)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.307.0.1','0.32.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.307.1.0',plain,
% 52.77/53.14 ( mult(X1,rd(X2,op_d)) = rd(ld(op_d,mult(ld(op_c,X1),X2)),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.307.0.2']),
% 52.77/53.14 [weight('<149,96,80,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.307.2.0',plain,
% 52.77/53.14 ( rd(ld(op_d,mult(ld(op_c,X1),X2)),op_d) = mult(X1,rd(X2,op_d)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.307.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_307]).
% 52.77/53.14 cnf('0.309.0.0',plain,
% 52.77/53.14 ( mult(X1,X2) = rd(mult(mult(X1,X3),X2),ld(X2,mult(X3,X2))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.309.1.0',plain,
% 52.77/53.14 ( mult(X1,X2) = rd(mult(mult(X1,X3),X2),ld(X2,mult(X3,X2))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.309.0.0']),
% 52.77/53.14 [weight('<?,8,5,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.309.2.0',plain,
% 52.77/53.14 ( rd(mult(mult(X1,X2),X3),ld(X3,mult(X2,X3))) = mult(X1,X3) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.309.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_309]).
% 52.77/53.14 cnf('0.314.0.0',plain,
% 52.77/53.14 ( ld(ld(op_c,X1),mult(op_d,ld(op_c,X1))) = ld(X1,ld(op_c,X1)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.165.2.0','0.1.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.314.1.0',plain,
% 52.77/53.14 ( ld(ld(op_c,X1),mult(op_d,ld(op_c,X1))) = ld(X1,ld(op_c,X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.314.0.0']),
% 52.77/53.14 [weight('<149,165,1,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.314.2.0',plain,
% 52.77/53.14 ( ld(ld(op_c,X1),mult(op_d,ld(op_c,X1))) = ld(X1,ld(op_c,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.314.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_314]).
% 52.77/53.14 cnf('0.316.0.0',plain,
% 52.77/53.14 ( ld(X1,mult(ld(rd(X2,X1),X3),X1)) = ld(X2,mult(X3,X1)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.167.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.316.1.0',plain,
% 52.77/53.14 ( ld(X1,mult(ld(rd(X2,X1),X3),X1)) = ld(X2,mult(X3,X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.316.0.0']),
% 52.77/53.14 [weight('<149,167,4,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.316.2.0',plain,
% 52.77/53.14 ( ld(X1,mult(ld(rd(X2,X1),X3),X1)) = ld(X2,mult(X3,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.316.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_316]).
% 52.77/53.14 cnf('0.317.0.0',plain,
% 52.77/53.14 ( mult(ld(rd(X1,X2),X3),X2) = mult(X2,ld(X1,mult(X3,X2))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1.2.0','0.316.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.317.1.0',plain,
% 52.77/53.14 ( mult(ld(rd(X1,X2),X3),X2) = mult(X2,ld(X1,mult(X3,X2))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.317.0.0']),
% 52.77/53.14 [weight('<119,316,1,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.317.2.0',plain,
% 52.77/53.14 ( mult(ld(rd(X1,X2),X3),X2) = mult(X2,ld(X1,mult(X3,X2))) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.317.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_317]).
% 52.77/53.14 cnf('0.318.0.0',plain,
% 52.77/53.14 ( rd(mult(op_c,ld(rd(X1,op_d),X2)),op_c) = mult(op_c,mult(op_d,ld(X1,mult(X2,op_d)))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.18.2.0','0.317.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.318.0.1',plain,
% 52.77/53.14 ( rd(mult(op_c,ld(rd(X1,op_d),X2)),op_c) = rd(rd(ld(X1,mult(X2,op_d)),op_d),op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.318.0.0','0.35.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.318.1.0',plain,
% 52.77/53.14 ( mult(op_c,ld(rd(X1,op_d),X2)) = rd(ld(X1,mult(X2,op_d)),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.318.0.1']),
% 52.77/53.14 [weight('<119,317,18,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.318.2.0',plain,
% 52.77/53.14 ( mult(op_c,ld(rd(X1,op_d),X2)) = rd(ld(X1,mult(X2,op_d)),op_d) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.318.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_318]).
% 52.77/53.14 cnf('0.319.0.0',plain,
% 52.77/53.14 ( ld(op_d,ld(op_c,ld(rd(X1,op_c),X2))) = mult(mult(op_c,ld(X1,mult(X2,op_c))),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.28.2.0','0.317.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.319.0.1',plain,
% 52.77/53.14 ( ld(op_d,ld(op_c,ld(rd(X1,op_c),X2))) = ld(op_d,mult(ld(X1,mult(X2,op_c)),op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.319.0.0','0.19.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.319.1.0',plain,
% 52.77/53.14 ( ld(op_c,ld(rd(X1,op_c),X2)) = mult(ld(X1,mult(X2,op_c)),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.319.0.1']),
% 52.77/53.14 [weight('<119,317,28,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.319.2.0',plain,
% 52.77/53.14 ( mult(ld(X1,mult(X2,op_c)),op_d) = ld(op_c,ld(rd(X1,op_c),X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.319.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_319]).
% 52.77/53.14 cnf('0.322.0.0',plain,
% 52.77/53.14 ( ld(X1,mult(ld(X2,rd(X3,X1)),X1)) = ld(mult(X2,X1),X3) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.167.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.322.1.0',plain,
% 52.77/53.14 ( ld(X1,mult(ld(X2,rd(X3,X1)),X1)) = ld(mult(X2,X1),X3) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.322.0.0']),
% 52.77/53.14 [weight('<149,167,4,[1,0,0,4]>')]).
% 52.77/53.14 cnf('0.322.2.0',plain,
% 52.77/53.14 ( ld(X1,mult(ld(X2,rd(X3,X1)),X1)) = ld(mult(X2,X1),X3) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.322.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_322]).
% 52.77/53.14 cnf('0.323.0.0',plain,
% 52.77/53.14 ( mult(ld(X1,rd(X2,X3)),X3) = mult(X3,ld(mult(X1,X3),X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1.2.0','0.322.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.323.1.0',plain,
% 52.77/53.14 ( mult(ld(X1,rd(X2,X3)),X3) = mult(X3,ld(mult(X1,X3),X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.323.0.0']),
% 52.77/53.14 [weight('<119,322,1,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.323.2.0',plain,
% 52.77/53.14 ( mult(ld(X1,rd(X2,X3)),X3) = mult(X3,ld(mult(X1,X3),X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.323.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_323]).
% 52.77/53.14 cnf('0.324.0.0',plain,
% 52.77/53.14 ( rd(mult(op_c,ld(X1,rd(X2,op_d))),op_c) = mult(op_c,mult(op_d,ld(mult(X1,op_d),X2))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.18.2.0','0.323.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.324.0.1',plain,
% 52.77/53.14 ( rd(mult(op_c,ld(X1,rd(X2,op_d))),op_c) = rd(rd(ld(mult(X1,op_d),X2),op_d),op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.324.0.0','0.35.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.324.1.0',plain,
% 52.77/53.14 ( mult(op_c,ld(X1,rd(X2,op_d))) = rd(ld(mult(X1,op_d),X2),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.324.0.1']),
% 52.77/53.14 [weight('<119,323,18,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.324.2.0',plain,
% 52.77/53.14 ( mult(op_c,ld(X1,rd(X2,op_d))) = rd(ld(mult(X1,op_d),X2),op_d) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.324.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_324]).
% 52.77/53.14 cnf('0.325.0.0',plain,
% 52.77/53.14 ( ld(op_d,ld(op_c,ld(X1,rd(X2,op_c)))) = mult(mult(op_c,ld(mult(X1,op_c),X2)),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.28.2.0','0.323.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.325.0.1',plain,
% 52.77/53.14 ( ld(op_d,ld(op_c,ld(X1,rd(X2,op_c)))) = ld(op_d,mult(ld(mult(X1,op_c),X2),op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.325.0.0','0.19.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.325.1.0',plain,
% 52.77/53.14 ( ld(op_c,ld(X1,rd(X2,op_c))) = mult(ld(mult(X1,op_c),X2),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.325.0.1']),
% 52.77/53.14 [weight('<119,323,28,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.325.2.0',plain,
% 52.77/53.14 ( mult(ld(mult(X1,op_c),X2),op_d) = ld(op_c,ld(X1,rd(X2,op_c))) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.325.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_325]).
% 52.77/53.14 cnf('0.344.0.0',plain,
% 52.77/53.14 ( ld(X1,mult(rd(mult(X1,X2),X1),X3)) = mult(X2,ld(X1,X3)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.263.2.0','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.344.1.0',plain,
% 52.77/53.14 ( ld(X1,mult(rd(mult(X1,X2),X1),X3)) = mult(X2,ld(X1,X3)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.344.0.0']),
% 52.77/53.14 [weight('<149,263,6,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.344.2.0',plain,
% 52.77/53.14 ( ld(X1,mult(rd(mult(X1,X2),X1),X3)) = mult(X2,ld(X1,X3)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.344.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_344]).
% 52.77/53.14 cnf('0.345.0.0',plain,
% 52.77/53.14 ( mult(X1,ld(X2,unit)) = ld(X2,rd(mult(X2,X1),X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.344.2.0','0.2.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.345.1.0',plain,
% 52.77/53.14 ( mult(X1,ld(X2,unit)) = ld(X2,rd(mult(X2,X1),X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.345.0.0']),
% 52.77/53.14 [weight('<103,344,2,[1,0,0,2]>')]).
% 52.77/53.14 cnf('0.345.2.0',plain,
% 52.77/53.14 ( ld(X1,rd(mult(X1,X2),X1)) = mult(X2,ld(X1,unit)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.345.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_345]).
% 52.77/53.14 cnf('0.346.0.0',plain,
% 52.77/53.14 ( rd(mult(X1,X2),X1) = mult(X1,mult(X2,ld(X1,unit))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1.2.0','0.345.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.346.1.0',plain,
% 52.77/53.14 ( rd(mult(X1,X2),X1) = mult(X1,mult(X2,ld(X1,unit))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.346.0.0']),
% 52.77/53.14 [weight('<103,345,1,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.346.2.0',plain,
% 52.77/53.14 ( mult(X1,mult(X2,ld(X1,unit))) = rd(mult(X1,X2),X1) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.346.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_346]).
% 52.77/53.14 cnf('0.347.0.0',plain,
% 52.77/53.14 ( mult(rd(mult(X1,X2),X1),X3) = mult(X1,mult(X2,ld(X1,X3))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1.2.0','0.344.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.347.1.0',plain,
% 52.77/53.14 ( mult(rd(mult(X1,X2),X1),X3) = mult(X1,mult(X2,ld(X1,X3))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.347.0.0']),
% 52.77/53.14 [weight('<119,344,1,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.347.2.0',plain,
% 52.77/53.14 ( mult(rd(mult(X1,X2),X1),X3) = mult(X1,mult(X2,ld(X1,X3))) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.347.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_347]).
% 52.77/53.14 cnf('0.349.0.0',plain,
% 52.77/53.14 ( rd(mult(X1,rd(X2,ld(X1,unit))),X1) = mult(X1,X2) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.346.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.349.1.0',plain,
% 52.77/53.14 ( rd(mult(X1,rd(X2,ld(X1,unit))),X1) = mult(X1,X2) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.349.0.0']),
% 52.77/53.14 [weight('<129,346,4,[1,0,0,2]>')]).
% 52.77/53.14 cnf('0.349.2.0',plain,
% 52.77/53.14 ( rd(mult(X1,rd(X2,ld(X1,unit))),X1) = mult(X1,X2) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.349.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_349]).
% 52.77/53.14 cnf('0.350.0.0',plain,
% 52.77/53.14 ( mult(X1,rd(X2,ld(X1,unit))) = mult(mult(X1,X2),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.4.2.0','0.349.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.350.1.0',plain,
% 52.77/53.14 ( mult(X1,rd(X2,ld(X1,unit))) = mult(mult(X1,X2),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.350.0.0']),
% 52.77/53.14 [weight('<103,349,4,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.350.2.0',plain,
% 52.77/53.14 ( mult(X1,rd(X2,ld(X1,unit))) = mult(mult(X1,X2),X1) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.350.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_350]).
% 52.77/53.14 cnf('0.351.0.0',plain,
% 52.77/53.14 ( rd(X1,ld(X2,unit)) = ld(X2,mult(mult(X2,X1),X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.6.2.0','0.350.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.351.1.0',plain,
% 52.77/53.14 ( rd(X1,ld(X2,unit)) = ld(X2,mult(mult(X2,X1),X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.351.0.0']),
% 52.77/53.14 [weight('<103,350,6,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.351.2.0',plain,
% 52.77/53.14 ( ld(X1,mult(mult(X1,X2),X1)) = rd(X2,ld(X1,unit)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.351.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_351]).
% 52.77/53.14 cnf('0.353.0.0',plain,
% 52.77/53.14 ( mult(rd(unit,mult(X1,X2)),X1) = rd(X1,rd(X2,ld(X1,unit))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.180.2.0','0.351.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.353.1.0',plain,
% 52.77/53.14 ( mult(rd(unit,mult(X1,X2)),X1) = rd(X1,rd(X2,ld(X1,unit))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.353.0.0']),
% 52.77/53.14 [weight('<119,351,180,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.353.2.0',plain,
% 52.77/53.14 ( mult(rd(unit,mult(X1,X2)),X1) = rd(X1,rd(X2,ld(X1,unit))) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.353.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_353]).
% 52.77/53.14 cnf('0.361.0.0',plain,
% 52.77/53.14 ( ld(op_d,mult(ld(op_c,X1),mult(op_d,X2))) = mult(mult(X1,op_d),X2) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.264.2.0','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.361.1.0',plain,
% 52.77/53.14 ( ld(op_d,mult(ld(op_c,X1),mult(op_d,X2))) = mult(mult(X1,op_d),X2) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.361.0.0']),
% 52.77/53.14 [weight('<149,264,6,[1,0,0,4]>')]).
% 52.77/53.14 cnf('0.361.2.0',plain,
% 52.77/53.14 ( ld(op_d,mult(ld(op_c,X1),mult(op_d,X2))) = mult(mult(X1,op_d),X2) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.361.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_361]).
% 52.77/53.14 cnf('0.362.0.0',plain,
% 52.77/53.14 ( mult(ld(op_c,X1),mult(op_d,X2)) = mult(op_d,mult(mult(X1,op_d),X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1.2.0','0.361.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.362.1.0',plain,
% 52.77/53.14 ( mult(ld(op_c,X1),mult(op_d,X2)) = mult(op_d,mult(mult(X1,op_d),X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.362.0.0']),
% 52.77/53.14 [weight('<119,361,1,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.362.2.0',plain,
% 52.77/53.14 ( mult(ld(op_c,X1),mult(op_d,X2)) = mult(op_d,mult(mult(X1,op_d),X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.362.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_362]).
% 52.77/53.14 cnf('0.363.0.0',plain,
% 52.77/53.14 ( ld(op_d,mult(ld(op_c,X1),mult(X2,op_d))) = mult(mult(X1,X2),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.264.2.0','0.8.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.363.1.0',plain,
% 52.77/53.14 ( ld(op_d,mult(ld(op_c,X1),mult(X2,op_d))) = mult(mult(X1,X2),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.363.0.0']),
% 52.77/53.14 [weight('<149,264,8,[1,0,0,0]>')]).
% 52.77/53.14 cnf('0.363.2.0',plain,
% 52.77/53.14 ( ld(op_d,mult(ld(op_c,X1),mult(X2,op_d))) = mult(mult(X1,X2),op_d) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.363.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_363]).
% 52.77/53.14 cnf('0.364.0.0',plain,
% 52.77/53.14 ( mult(ld(op_c,X1),mult(X2,op_d)) = mult(op_d,mult(mult(X1,X2),op_d)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1.2.0','0.363.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.364.0.1',plain,
% 52.77/53.14 ( mult(ld(op_c,X1),mult(X2,op_d)) = ld(op_c,rd(mult(X1,X2),op_c)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.364.0.0','0.27.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.364.1.0',plain,
% 52.77/53.14 ( mult(ld(op_c,X1),mult(X2,op_d)) = ld(op_c,rd(mult(X1,X2),op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.364.0.1']),
% 52.77/53.14 [weight('<119,363,1,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.364.2.0',plain,
% 52.77/53.14 ( mult(ld(op_c,X1),mult(X2,op_d)) = ld(op_c,rd(mult(X1,X2),op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.364.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_364]).
% 52.77/53.14 cnf('0.368.0.0',plain,
% 52.77/53.14 ( mult(ld(op_c,X1),X2) = mult(ld(op_c,mult(X1,rd(X2,op_d))),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.4.2.0','0.269.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.368.0.1',plain,
% 52.77/53.14 ( mult(ld(op_c,X1),X2) = ld(op_c,rd(mult(X1,rd(X2,op_d)),op_c)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.368.0.0','0.24.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.368.1.0',plain,
% 52.77/53.14 ( mult(ld(op_c,X1),X2) = ld(op_c,rd(mult(X1,rd(X2,op_d)),op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.368.0.1']),
% 52.77/53.14 [weight('<149,269,4,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.368.2.0',plain,
% 52.77/53.14 ( ld(op_c,rd(mult(X1,rd(X2,op_d)),op_c)) = mult(ld(op_c,X1),X2) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.368.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_368]).
% 52.77/53.14 cnf('0.370.0.0',plain,
% 52.77/53.14 ( ld(X1,mult(X2,X1)) = rd(ld(X1,mult(X2,mult(X1,X3))),X3) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.5.2.0','0.289.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.370.1.0',plain,
% 52.77/53.14 ( ld(X1,mult(X2,X1)) = rd(ld(X1,mult(X2,mult(X1,X3))),X3) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.370.0.0']),
% 52.77/53.14 [weight('<149,289,5,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.370.2.0',plain,
% 52.77/53.14 ( rd(ld(X1,mult(X2,mult(X1,X3))),X3) = ld(X1,mult(X2,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.370.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_370]).
% 52.77/53.14 cnf('0.372.0.0',plain,
% 52.77/53.14 ( rd(ld(op_d,mult(X1,mult(X2,op_d))),op_d) = mult(mult(op_c,X1),X2) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.294.2.0','0.5.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.372.1.0',plain,
% 52.77/53.14 ( rd(ld(op_d,mult(X1,mult(X2,op_d))),op_d) = mult(mult(op_c,X1),X2) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.372.0.0']),
% 52.77/53.14 [weight('<149,294,5,[1,0,0,4]>')]).
% 52.77/53.14 cnf('0.372.2.0',plain,
% 52.77/53.14 ( rd(ld(op_d,mult(X1,mult(X2,op_d))),op_d) = mult(mult(op_c,X1),X2) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.372.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_372]).
% 52.77/53.14 cnf('0.374.0.0',plain,
% 52.77/53.14 ( mult(X1,rd(ld(ld(op_c,X1),X2),op_d)) = rd(ld(op_d,X2),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.307.2.0','0.1.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.374.1.0',plain,
% 52.77/53.14 ( mult(X1,rd(ld(ld(op_c,X1),X2),op_d)) = rd(ld(op_d,X2),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.374.0.0']),
% 52.77/53.14 [weight('<149,307,1,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.374.2.0',plain,
% 52.77/53.14 ( mult(X1,rd(ld(ld(op_c,X1),X2),op_d)) = rd(ld(op_d,X2),op_d) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.374.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_374]).
% 52.77/53.14 cnf('0.375.0.0',plain,
% 52.77/53.14 ( rd(ld(ld(op_c,X1),X2),op_d) = ld(X1,rd(ld(op_d,X2),op_d)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.6.2.0','0.374.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.375.1.0',plain,
% 52.77/53.14 ( rd(ld(ld(op_c,X1),X2),op_d) = ld(X1,rd(ld(op_d,X2),op_d)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.375.0.0']),
% 52.77/53.14 [weight('<119,374,6,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.375.2.0',plain,
% 52.77/53.14 ( rd(ld(ld(op_c,X1),X2),op_d) = ld(X1,rd(ld(op_d,X2),op_d)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.375.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_375]).
% 52.77/53.14 cnf('0.376.0.0',plain,
% 52.77/53.14 ( ld(rd(ld(op_c,X1),op_d),unit) = ld(op_c,ld(X1,rd(ld(op_d,op_d),op_d))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.197.2.0','0.375.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.376.0.1',plain,
% 52.77/53.14 ( ld(ld(op_c,mult(X1,op_c)),unit) = ld(op_c,ld(X1,rd(ld(op_d,op_d),op_d))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.376.0.0','0.37.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.376.0.2',plain,
% 52.77/53.14 ( ld(ld(op_c,mult(X1,op_c)),unit) = ld(op_c,ld(X1,rd(unit,op_d))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.376.0.1','0.13.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.2.1','L')]).
% 52.77/53.14 cnf('0.376.0.3',plain,
% 52.77/53.14 ( ld(ld(op_c,mult(X1,op_c)),unit) = ld(op_c,ld(X1,op_c)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.376.0.2','0.14.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.2','L')]).
% 52.77/53.14 cnf('0.376.1.0',plain,
% 52.77/53.14 ( ld(ld(op_c,mult(X1,op_c)),unit) = ld(op_c,ld(X1,op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.376.0.3']),
% 52.77/53.14 [weight('<103,375,197,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.376.2.0',plain,
% 52.77/53.14 ( ld(ld(op_c,mult(X1,op_c)),unit) = ld(op_c,ld(X1,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.376.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_376]).
% 52.77/53.14 cnf('0.377.0.0',plain,
% 52.77/53.14 ( rd(unit,ld(mult(ld(op_c,mult(X1,op_c)),op_d),op_d)) = mult(rd(op_c,ld(op_c,ld(X1,op_c))),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.225.2.0','0.376.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.377.0.1',plain,
% 52.77/53.14 ( rd(unit,ld(ld(op_c,rd(mult(X1,op_c),op_c)),op_d)) = mult(rd(op_c,ld(op_c,ld(X1,op_c))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.377.0.0','0.24.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.377.0.2',plain,
% 52.77/53.14 ( rd(unit,ld(ld(op_c,X1),op_d)) = mult(rd(op_c,ld(op_c,ld(X1,op_c))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.377.0.1','0.5.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1.2','L')]).
% 52.77/53.14 cnf('0.377.0.3',plain,
% 52.77/53.14 ( rd(unit,ld(ld(op_c,X1),op_d)) = rd(unit,mult(ld(X1,op_c),op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.377.0.2','0.201.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.377.1.0',plain,
% 52.77/53.14 ( ld(ld(op_c,X1),op_d) = mult(ld(X1,op_c),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.377.0.3']),
% 52.77/53.14 [weight('<65,376,225,[0,0,0,3]>')]).
% 52.77/53.14 cnf('0.377.2.0',plain,
% 52.77/53.14 ( mult(ld(X1,op_c),op_d) = ld(ld(op_c,X1),op_d) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.377.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_377]).
% 52.77/53.14 cnf('0.378.0.0',plain,
% 52.77/53.14 ( ld(ld(op_c,rd(op_c,X1)),op_d) = mult(X1,op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.377.2.0','0.17.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.378.1.0',plain,
% 52.77/53.14 ( ld(ld(op_c,rd(op_c,X1)),op_d) = mult(X1,op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.378.0.0']),
% 52.77/53.14 [weight('<87,377,17,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.378.2.0',plain,
% 52.77/53.14 ( ld(ld(op_c,rd(op_c,X1)),op_d) = mult(X1,op_d) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.378.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_378]).
% 52.77/53.14 cnf('0.379.0.0',plain,
% 52.77/53.14 ( ld(op_c,rd(op_c,X1)) = rd(op_d,mult(X1,op_d)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.16.2.0','0.378.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.379.1.0',plain,
% 52.77/53.14 ( ld(op_c,rd(op_c,X1)) = rd(op_d,mult(X1,op_d)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.379.0.0']),
% 52.77/53.14 [weight('<65,378,16,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.379.2.0',plain,
% 52.77/53.14 ( rd(op_d,mult(X1,op_d)) = ld(op_c,rd(op_c,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.379.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_379]).
% 52.77/53.14 cnf('0.389.0.0',plain,
% 52.77/53.14 ( mult(rd(unit,ld(op_c,X1)),op_d) = rd(op_d,mult(X1,op_d)) ),
% 52.77/53.14 inference(interreduction_right,[status(thm)],['0.193.2.0'])).
% 52.77/53.14 cnf('0.389.0.1',plain,
% 52.77/53.14 ( mult(rd(unit,ld(op_c,X1)),op_d) = ld(op_c,rd(op_c,X1)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.389.0.0','0.379.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.389.1.0',plain,
% 52.77/53.14 ( mult(rd(unit,ld(op_c,X1)),op_d) = ld(op_c,rd(op_c,X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.389.0.1']),
% 52.77/53.14 [weight('<103,193,379,[0,0,0,0]>')]).
% 52.77/53.14 cnf('0.389.2.0',plain,
% 52.77/53.14 ( mult(rd(unit,ld(op_c,X1)),op_d) = ld(op_c,rd(op_c,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.389.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_389]).
% 52.77/53.14 cnf('0.391.0.0',plain,
% 52.77/53.14 ( rd(rd(op_d,mult(X1,op_d)),op_d) = rd(unit,ld(op_c,X1)) ),
% 52.77/53.14 inference(interreduction_right,[status(thm)],['0.205.2.0'])).
% 52.77/53.14 cnf('0.391.0.1',plain,
% 52.77/53.14 ( rd(ld(op_c,rd(op_c,X1)),op_d) = rd(unit,ld(op_c,X1)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.391.0.0','0.379.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.391.0.2',plain,
% 52.77/53.14 ( ld(op_c,mult(rd(op_c,X1),op_c)) = rd(unit,ld(op_c,X1)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.391.0.1','0.37.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.391.1.0',plain,
% 52.77/53.14 ( ld(op_c,mult(rd(op_c,X1),op_c)) = rd(unit,ld(op_c,X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.391.0.2']),
% 52.77/53.14 [weight('<103,205,379,[0,0,0,0]>')]).
% 52.77/53.14 cnf('0.391.2.0',plain,
% 52.77/53.14 ( ld(op_c,mult(rd(op_c,X1),op_c)) = rd(unit,ld(op_c,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.391.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_391]).
% 52.77/53.14 cnf('0.393.0.0',plain,
% 52.77/53.14 ( ld(op_c,ld(rd(X1,op_c),op_c)) = ld(ld(op_c,X1),unit) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.376.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.393.1.0',plain,
% 52.77/53.14 ( ld(op_c,ld(rd(X1,op_c),op_c)) = ld(ld(op_c,X1),unit) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.393.0.0']),
% 52.77/53.14 [weight('<103,376,4,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.393.2.0',plain,
% 52.77/53.14 ( ld(op_c,ld(rd(X1,op_c),op_c)) = ld(ld(op_c,X1),unit) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.393.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_393]).
% 52.77/53.14 cnf('0.401.0.0',plain,
% 52.77/53.14 ( ld(op_c,rd(op_c,ld(op_c,rd(X1,op_d)))) = rd(op_d,mult(op_d,mult(X1,ld(op_d,op_d)))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.379.2.0','0.291.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.401.0.1',plain,
% 52.77/53.14 ( ld(op_c,rd(rd(unit,X1),op_d)) = rd(op_d,mult(op_d,mult(X1,ld(op_d,op_d)))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.401.0.0','0.214.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.401.0.2',plain,
% 52.77/53.14 ( ld(op_c,rd(rd(unit,X1),op_d)) = rd(op_d,mult(op_d,mult(X1,unit))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.401.0.1','0.13.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.2.2','L')]).
% 52.77/53.14 cnf('0.401.0.3',plain,
% 52.77/53.14 ( ld(op_c,rd(rd(unit,X1),op_d)) = rd(op_d,mult(op_d,X1)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.401.0.2','0.2.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.2','L')]).
% 52.77/53.14 cnf('0.401.1.0',plain,
% 52.77/53.14 ( ld(op_c,rd(rd(unit,X1),op_d)) = rd(op_d,mult(op_d,X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.401.0.3']),
% 52.77/53.14 [weight('<103,379,291,[1,0,0,2]>')]).
% 52.77/53.14 cnf('0.401.2.0',plain,
% 52.77/53.14 ( ld(op_c,rd(rd(unit,X1),op_d)) = rd(op_d,mult(op_d,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.401.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_401]).
% 52.77/53.14 cnf('0.435.0.0',plain,
% 52.77/53.14 ( rd(ld(op_d,ld(ld(op_c,X1),X2)),op_d) = mult(op_c,ld(X1,rd(ld(op_d,X2),op_d))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.31.2.0','0.375.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.435.0.1',plain,
% 52.77/53.14 ( rd(ld(op_d,ld(ld(op_c,X1),X2)),op_d) = rd(ld(mult(X1,op_d),ld(op_d,X2)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.435.0.0','0.324.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.435.1.0',plain,
% 52.77/53.14 ( ld(op_d,ld(ld(op_c,X1),X2)) = ld(mult(X1,op_d),ld(op_d,X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.435.0.1']),
% 52.77/53.14 [weight('<119,375,31,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.435.2.0',plain,
% 52.77/53.14 ( ld(mult(X1,op_d),ld(op_d,X2)) = ld(op_d,ld(ld(op_c,X1),X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.435.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_435]).
% 52.77/53.14 cnf('0.438.0.0',plain,
% 52.77/53.14 ( ld(X1,rd(ld(op_d,mult(op_d,ld(op_c,X1))),op_d)) = rd(ld(X1,ld(op_c,X1)),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.375.2.0','0.314.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.438.0.1',plain,
% 52.77/53.14 ( ld(X1,rd(ld(op_c,X1),op_d)) = rd(ld(X1,ld(op_c,X1)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.438.0.0','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.438.0.2',plain,
% 52.77/53.14 ( ld(X1,ld(op_c,mult(X1,op_c))) = rd(ld(X1,ld(op_c,X1)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.438.0.1','0.37.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.438.1.0',plain,
% 52.77/53.14 ( ld(X1,ld(op_c,mult(X1,op_c))) = rd(ld(X1,ld(op_c,X1)),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.438.0.2']),
% 52.77/53.14 [weight('<119,375,314,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.438.2.0',plain,
% 52.77/53.14 ( rd(ld(X1,ld(op_c,X1)),op_d) = ld(X1,ld(op_c,mult(X1,op_c))) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.438.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_438]).
% 52.77/53.14 cnf('0.439.0.0',plain,
% 52.77/53.14 ( ld(op_d,ld(op_c,mult(op_d,op_c))) = mult(op_d,op_c) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.438.2.0','0.40.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.439.0.1',plain,
% 52.77/53.14 ( ld(ld(op_d,unit),op_c) = mult(op_d,op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.439.0.0','0.119.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.439.1.0',plain,
% 52.77/53.14 ( ld(ld(op_d,unit),op_c) = mult(op_d,op_c) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.439.0.1']),
% 52.77/53.14 [weight('<53,438,40,[1,0,0,0]>')]).
% 52.77/53.14 cnf('0.439.2.0',plain,
% 52.77/53.14 ( ld(ld(op_d,unit),op_c) = mult(op_d,op_c) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.439.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_439]).
% 52.77/53.14 cnf('0.440.0.0',plain,
% 52.77/53.14 ( ld(op_d,unit) = rd(op_c,mult(op_d,op_c)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.16.2.0','0.439.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.440.1.0',plain,
% 52.77/53.14 ( ld(op_d,unit) = rd(op_c,mult(op_d,op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.440.0.0']),
% 52.77/53.14 [weight('<53,439,16,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.440.2.0',plain,
% 52.77/53.14 ( rd(op_c,mult(op_d,op_c)) = ld(op_d,unit) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.440.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_440]).
% 52.77/53.14 cnf('0.441.0.0',plain,
% 52.77/53.14 ( ld(op_c,mult(op_d,op_c)) = mult(op_d,mult(op_d,op_c)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.122.2.0','0.439.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.441.1.0',plain,
% 52.77/53.14 ( ld(op_c,mult(op_d,op_c)) = mult(op_d,mult(op_d,op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.441.0.0']),
% 52.77/53.14 [weight('<65,439,122,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.441.2.0',plain,
% 52.77/53.14 ( mult(op_d,mult(op_d,op_c)) = ld(op_c,mult(op_d,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.441.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_441]).
% 52.77/53.14 cnf('0.442.0.0',plain,
% 52.77/53.14 ( rd(rd(mult(op_d,op_c),op_d),op_c) = mult(op_c,ld(op_c,mult(op_d,op_c))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.35.2.0','0.441.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.442.0.1',plain,
% 52.77/53.14 ( rd(op_d,rd(unit,op_c)) = mult(op_c,ld(op_c,mult(op_d,op_c))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.442.0.0','0.279.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.442.0.2',plain,
% 52.77/53.14 ( rd(op_d,rd(unit,op_c)) = mult(op_d,op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.442.0.1','0.1.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.442.1.0',plain,
% 52.77/53.14 ( rd(op_d,rd(unit,op_c)) = mult(op_d,op_c) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.442.0.2']),
% 52.77/53.14 [weight('<53,441,35,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.442.2.0',plain,
% 52.77/53.14 ( rd(op_d,rd(unit,op_c)) = mult(op_d,op_c) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.442.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_442]).
% 52.77/53.14 cnf('0.443.0.0',plain,
% 52.77/53.14 ( rd(unit,op_c) = ld(mult(op_d,op_c),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.17.2.0','0.442.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.443.1.0',plain,
% 52.77/53.14 ( rd(unit,op_c) = ld(mult(op_d,op_c),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.443.0.0']),
% 52.77/53.14 [weight('<53,442,17,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.443.2.0',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),op_d) = rd(unit,op_c) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.443.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_443]).
% 52.77/53.14 cnf('0.444.0.0',plain,
% 52.77/53.14 ( mult(mult(op_d,op_c),op_c) = rd(mult(op_d,op_c),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.124.2.0','0.439.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.444.0.1',plain,
% 52.77/53.14 ( mult(mult(op_d,op_c),op_c) = ld(op_c,rd(op_c,op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.444.0.0','0.39.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.444.1.0',plain,
% 52.77/53.14 ( mult(mult(op_d,op_c),op_c) = ld(op_c,rd(op_c,op_d)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.444.0.1']),
% 52.77/53.14 [weight('<65,439,124,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.444.2.0',plain,
% 52.77/53.14 ( mult(mult(op_d,op_c),op_c) = ld(op_c,rd(op_c,op_d)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.444.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_444]).
% 52.77/53.14 cnf('0.452.0.0',plain,
% 52.77/53.14 ( rd(unit,rd(op_c,ld(op_d,unit))) = mult(ld(op_d,unit),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.224.2.0','0.440.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.452.0.1',plain,
% 52.77/53.14 ( rd(unit,rd(op_c,ld(op_d,unit))) = ld(op_d,rd(unit,op_c)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.452.0.0','0.61.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.452.1.0',plain,
% 52.77/53.14 ( rd(unit,rd(op_c,ld(op_d,unit))) = ld(op_d,rd(unit,op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.452.0.1']),
% 52.77/53.14 [weight('<103,440,224,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.452.2.0',plain,
% 52.77/53.14 ( rd(unit,rd(op_c,ld(op_d,unit))) = ld(op_d,rd(unit,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.452.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_452]).
% 52.77/53.14 cnf('0.453.0.0',plain,
% 52.77/53.14 ( rd(unit,ld(rd(unit,op_c),op_d)) = rd(ld(op_d,unit),op_c) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.238.2.0','0.440.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.453.1.0',plain,
% 52.77/53.14 ( rd(unit,ld(rd(unit,op_c),op_d)) = rd(ld(op_d,unit),op_c) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.453.0.0']),
% 52.77/53.14 [weight('<103,440,238,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.453.2.0',plain,
% 52.77/53.14 ( rd(unit,ld(rd(unit,op_c),op_d)) = rd(ld(op_d,unit),op_c) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.453.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_453]).
% 52.77/53.14 cnf('0.454.0.0',plain,
% 52.77/53.14 ( rd(mult(op_d,rd(unit,op_c)),op_d) = ld(rd(mult(op_d,op_c),op_d),unit) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.202.2.0','0.442.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.1','L')]).
% 52.77/53.14 cnf('0.454.0.1',plain,
% 52.77/53.14 ( ld(op_c,rd(rd(unit,op_c),op_d)) = ld(rd(mult(op_d,op_c),op_d),unit) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.454.0.0','0.39.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.454.0.2',plain,
% 52.77/53.14 ( rd(op_d,mult(op_d,op_c)) = ld(rd(mult(op_d,op_c),op_d),unit) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.454.0.1','0.401.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.454.0.3',plain,
% 52.77/53.14 ( rd(op_d,mult(op_d,op_c)) = ld(ld(op_c,rd(op_c,op_d)),unit) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.454.0.2','0.39.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1','L')]).
% 52.77/53.14 cnf('0.454.1.0',plain,
% 52.77/53.14 ( rd(op_d,mult(op_d,op_c)) = ld(ld(op_c,rd(op_c,op_d)),unit) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.454.0.3']),
% 52.77/53.14 [weight('<103,442,202,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.454.2.0',plain,
% 52.77/53.14 ( ld(ld(op_c,rd(op_c,op_d)),unit) = rd(op_d,mult(op_d,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.454.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_454]).
% 52.77/53.14 cnf('0.465.0.0',plain,
% 52.77/53.14 ( ld(op_c,rd(op_c,op_d)) = rd(unit,rd(op_d,mult(op_d,op_c))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.16.2.0','0.454.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.465.1.0',plain,
% 52.77/53.14 ( ld(op_c,rd(op_c,op_d)) = rd(unit,rd(op_d,mult(op_d,op_c))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.465.0.0']),
% 52.77/53.14 [weight('<103,454,16,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.465.2.0',plain,
% 52.77/53.14 ( rd(unit,rd(op_d,mult(op_d,op_c))) = ld(op_c,rd(op_c,op_d)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.465.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_465]).
% 52.77/53.14 cnf('0.468.0.0',plain,
% 52.77/53.14 ( rd(mult(op_d,op_c),ld(mult(op_d,op_c),op_d)) = mult(ld(op_c,rd(op_c,op_d)),mult(op_d,op_c)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.192.2.0','0.465.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.468.0.1',plain,
% 52.77/53.14 ( rd(mult(op_d,op_c),rd(unit,op_c)) = mult(ld(op_c,rd(op_c,op_d)),mult(op_d,op_c)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.468.0.0','0.443.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.468.0.2',plain,
% 52.77/53.14 ( rd(mult(op_d,op_c),rd(unit,op_c)) = mult(op_d,mult(op_c,ld(op_d,mult(op_d,op_c)))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.468.0.1','0.291.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.468.0.3',plain,
% 52.77/53.14 ( rd(mult(op_d,op_c),rd(unit,op_c)) = mult(op_d,mult(op_c,op_c)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.468.0.2','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.2','L')]).
% 52.77/53.14 cnf('0.468.1.0',plain,
% 52.77/53.14 ( rd(mult(op_d,op_c),rd(unit,op_c)) = mult(op_d,mult(op_c,op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.468.0.3']),
% 52.77/53.14 [weight('<103,465,192,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.468.2.0',plain,
% 52.77/53.14 ( rd(mult(op_d,op_c),rd(unit,op_c)) = mult(op_d,mult(op_c,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.468.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_468]).
% 52.77/53.14 cnf('0.470.0.0',plain,
% 52.77/53.14 ( rd(mult(mult(op_d,op_c),op_c),op_d) = mult(mult(op_d,mult(op_c,op_c)),op_c) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.280.2.0','0.468.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.470.0.1',plain,
% 52.77/53.14 ( rd(ld(op_c,rd(op_c,op_d)),op_d) = mult(mult(op_d,mult(op_c,op_c)),op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.470.0.0','0.444.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.470.0.2',plain,
% 52.77/53.14 ( ld(op_c,mult(rd(op_c,op_d),op_c)) = mult(mult(op_d,mult(op_c,op_c)),op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.470.0.1','0.37.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.470.0.3',plain,
% 52.77/53.14 ( rd(unit,ld(op_c,op_d)) = mult(mult(op_d,mult(op_c,op_c)),op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.470.0.2','0.391.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.470.0.4',plain,
% 52.77/53.14 ( rd(unit,ld(op_c,op_d)) = mult(mult(op_d,op_c),rd(op_c,op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.470.0.3','0.96.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.470.1.0',plain,
% 52.77/53.14 ( rd(unit,ld(op_c,op_d)) = mult(mult(op_d,op_c),rd(op_c,op_d)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.470.0.4']),
% 52.77/53.14 [weight('<103,468,280,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.470.2.0',plain,
% 52.77/53.14 ( mult(mult(op_d,op_c),rd(op_c,op_d)) = rd(unit,ld(op_c,op_d)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.470.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_470]).
% 52.77/53.14 cnf('0.473.0.0',plain,
% 52.77/53.14 ( mult(mult(mult(op_d,op_c),op_d),ld(op_d,op_c)) = mult(rd(unit,ld(op_c,op_d)),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.82.2.0','0.470.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.473.0.1',plain,
% 52.77/53.14 ( ld(op_d,mult(ld(op_c,mult(op_d,op_c)),op_c)) = mult(rd(unit,ld(op_c,op_d)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.473.0.0','0.264.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.473.0.2',plain,
% 52.77/53.14 ( ld(op_d,ld(op_c,mult(op_d,mult(op_c,op_c)))) = mult(rd(unit,ld(op_c,op_d)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.473.0.1','0.289.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.473.0.3',plain,
% 52.77/53.14 ( ld(ld(op_d,unit),mult(op_c,op_c)) = mult(rd(unit,ld(op_c,op_d)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.473.0.2','0.119.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.473.0.4',plain,
% 52.77/53.14 ( ld(ld(op_d,unit),mult(op_c,op_c)) = ld(op_c,rd(op_c,op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.473.0.3','0.389.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.473.1.0',plain,
% 52.77/53.14 ( ld(ld(op_d,unit),mult(op_c,op_c)) = ld(op_c,rd(op_c,op_d)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.473.0.4']),
% 52.77/53.14 [weight('<103,470,82,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.473.2.0',plain,
% 52.77/53.14 ( ld(ld(op_d,unit),mult(op_c,op_c)) = ld(op_c,rd(op_c,op_d)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.473.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_473]).
% 52.77/53.14 cnf('0.474.0.0',plain,
% 52.77/53.14 ( ld(op_c,ld(rd(ld(op_d,unit),op_c),op_c)) = mult(ld(op_c,rd(op_c,op_d)),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.319.2.0','0.473.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.474.0.1',plain,
% 52.77/53.14 ( ld(ld(op_c,ld(op_d,unit)),unit) = mult(ld(op_c,rd(op_c,op_d)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.474.0.0','0.393.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.474.0.2',plain,
% 52.77/53.14 ( ld(ld(op_c,ld(op_d,unit)),unit) = mult(op_d,mult(op_c,ld(op_d,op_d))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.474.0.1','0.291.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.474.0.3',plain,
% 52.77/53.14 ( ld(ld(op_c,ld(op_d,unit)),unit) = mult(op_d,mult(op_c,unit)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.474.0.2','0.13.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.2','L')]).
% 52.77/53.14 cnf('0.474.0.4',plain,
% 52.77/53.14 ( ld(ld(op_c,ld(op_d,unit)),unit) = mult(op_d,op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.474.0.3','0.2.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2','L')]).
% 52.77/53.14 cnf('0.474.1.0',plain,
% 52.77/53.14 ( ld(ld(op_c,ld(op_d,unit)),unit) = mult(op_d,op_c) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.474.0.4']),
% 52.77/53.14 [weight('<87,473,319,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.474.2.0',plain,
% 52.77/53.14 ( ld(ld(op_c,ld(op_d,unit)),unit) = mult(op_d,op_c) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.474.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_474]).
% 52.77/53.14 cnf('0.475.0.0',plain,
% 52.77/53.14 ( ld(op_c,ld(op_d,unit)) = rd(unit,mult(op_d,op_c)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.16.2.0','0.474.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.475.1.0',plain,
% 52.77/53.14 ( ld(op_c,ld(op_d,unit)) = rd(unit,mult(op_d,op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.475.0.0']),
% 52.77/53.14 [weight('<65,474,16,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.475.2.0',plain,
% 52.77/53.14 ( rd(unit,mult(op_d,op_c)) = ld(op_c,ld(op_d,unit)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.475.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_475]).
% 52.77/53.14 cnf('0.476.0.0',plain,
% 52.77/53.14 ( rd(unit,ld(mult(ld(op_c,ld(op_d,unit)),op_d),op_d)) = mult(rd(op_c,mult(op_d,op_c)),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.225.2.0','0.474.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.476.0.1',plain,
% 52.77/53.14 ( rd(unit,ld(ld(op_c,rd(ld(op_d,unit),op_c)),op_d)) = mult(rd(op_c,mult(op_d,op_c)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.476.0.0','0.24.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.476.0.2',plain,
% 52.77/53.14 ( rd(unit,ld(rd(unit,op_c),op_d)) = mult(rd(op_c,mult(op_d,op_c)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.476.0.1','0.59.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.476.0.3',plain,
% 52.77/53.14 ( rd(ld(op_d,unit),op_c) = mult(rd(op_c,mult(op_d,op_c)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.476.0.2','0.453.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.476.0.4',plain,
% 52.77/53.14 ( rd(ld(op_d,unit),op_c) = rd(unit,rd(op_c,ld(op_d,unit))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.476.0.3','0.224.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.476.0.5',plain,
% 52.77/53.14 ( rd(ld(op_d,unit),op_c) = ld(op_d,rd(unit,op_c)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.476.0.4','0.452.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.476.1.0',plain,
% 52.77/53.14 ( rd(ld(op_d,unit),op_c) = ld(op_d,rd(unit,op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.476.0.5']),
% 52.77/53.14 [weight('<65,474,225,[0,0,0,3]>')]).
% 52.77/53.14 cnf('0.476.2.0',plain,
% 52.77/53.14 ( rd(ld(op_d,unit),op_c) = ld(op_d,rd(unit,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.476.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_476]).
% 52.77/53.14 cnf('0.603.0.0',plain,
% 52.77/53.14 ( mult(rd(X1,X2),X3) = rd(mult(X1,X3),ld(X3,mult(X2,X3))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.309.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.1','L')]).
% 52.77/53.14 cnf('0.603.1.0',plain,
% 52.77/53.14 ( mult(rd(X1,X2),X3) = rd(mult(X1,X3),ld(X3,mult(X2,X3))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.603.0.0']),
% 52.77/53.14 [weight('<149,309,4,[1,0,0,2]>')]).
% 52.77/53.14 cnf('0.603.2.0',plain,
% 52.77/53.14 ( rd(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(rd(X1,X3),X2) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.603.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_603]).
% 52.77/53.14 cnf('0.604.0.0',plain,
% 52.77/53.14 ( mult(rd(rd(X1,X2),X3),X2) = rd(X1,ld(X2,mult(X3,X2))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.603.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.604.1.0',plain,
% 52.77/53.14 ( mult(rd(rd(X1,X2),X3),X2) = rd(X1,ld(X2,mult(X3,X2))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.604.0.0']),
% 52.77/53.14 [weight('<119,603,4,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.604.2.0',plain,
% 52.77/53.14 ( mult(rd(rd(X1,X2),X3),X2) = rd(X1,ld(X2,mult(X3,X2))) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.604.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_604]).
% 52.77/53.14 cnf('0.605.0.0',plain,
% 52.77/53.14 ( mult(rd(X1,rd(X2,X3)),X3) = rd(mult(X1,X3),ld(X3,X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.603.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.2','L')]).
% 52.77/53.14 cnf('0.605.1.0',plain,
% 52.77/53.14 ( mult(rd(X1,rd(X2,X3)),X3) = rd(mult(X1,X3),ld(X3,X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.605.0.0']),
% 52.77/53.14 [weight('<119,603,4,[1,0,0,6]>')]).
% 52.77/53.14 cnf('0.605.2.0',plain,
% 52.77/53.14 ( mult(rd(X1,rd(X2,X3)),X3) = rd(mult(X1,X3),ld(X3,X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.605.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_605]).
% 52.77/53.14 cnf('0.607.0.0',plain,
% 52.77/53.14 ( mult(rd(X1,mult(op_c,X2)),op_c) = rd(mult(X1,op_c),ld(op_c,rd(ld(op_d,X2),op_d))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.603.2.0','0.32.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.2','L')]).
% 52.77/53.14 cnf('0.607.0.1',plain,
% 52.77/53.14 ( mult(rd(X1,mult(op_c,X2)),op_c) = rd(mult(X1,op_c),rd(X2,op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.607.0.0','0.41.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2','L')]).
% 52.77/53.14 cnf('0.607.1.0',plain,
% 52.77/53.14 ( mult(rd(X1,mult(op_c,X2)),op_c) = rd(mult(X1,op_c),rd(X2,op_d)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.607.0.1']),
% 52.77/53.14 [weight('<119,603,32,[1,0,0,6]>')]).
% 52.77/53.14 cnf('0.607.2.0',plain,
% 52.77/53.14 ( mult(rd(X1,mult(op_c,X2)),op_c) = rd(mult(X1,op_c),rd(X2,op_d)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.607.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_607]).
% 52.77/53.14 cnf('0.630.0.0',plain,
% 52.77/53.14 ( ld(rd(X1,X2),X3) = rd(mult(X2,ld(X1,mult(X3,X2))),X2) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.5.2.0','0.317.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.630.1.0',plain,
% 52.77/53.14 ( ld(rd(X1,X2),X3) = rd(mult(X2,ld(X1,mult(X3,X2))),X2) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.630.0.0']),
% 52.77/53.14 [weight('<149,317,5,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.630.2.0',plain,
% 52.77/53.14 ( rd(mult(X1,ld(X2,mult(X3,X1))),X1) = ld(rd(X2,X1),X3) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.630.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_630]).
% 52.77/53.14 cnf('0.631.0.0',plain,
% 52.77/53.14 ( ld(rd(unit,X1),X2) = rd(mult(X1,mult(X2,X1)),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.630.2.0','0.10.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.631.1.0',plain,
% 52.77/53.14 ( ld(rd(unit,X1),X2) = rd(mult(X1,mult(X2,X1)),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.631.0.0']),
% 52.77/53.14 [weight('<103,630,10,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.631.2.0',plain,
% 52.77/53.14 ( rd(mult(X1,mult(X2,X1)),X1) = ld(rd(unit,X1),X2) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.631.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_631]).
% 52.77/53.14 cnf('0.633.0.0',plain,
% 52.77/53.14 ( ld(rd(X1,X2),rd(X3,X2)) = rd(mult(X2,ld(X1,X3)),X2) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.630.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2.2','L')]).
% 52.77/53.14 cnf('0.633.1.0',plain,
% 52.77/53.14 ( ld(rd(X1,X2),rd(X3,X2)) = rd(mult(X2,ld(X1,X3)),X2) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.633.0.0']),
% 52.77/53.14 [weight('<119,630,4,[1,0,0,5]>')]).
% 52.77/53.14 cnf('0.633.2.0',plain,
% 52.77/53.14 ( rd(mult(X1,ld(X2,X3)),X1) = ld(rd(X2,X1),rd(X3,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.633.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_633]).
% 52.77/53.14 cnf('0.635.0.0',plain,
% 52.77/53.14 ( rd(rd(X1,mult(X2,X1)),X1) = rd(unit,ld(rd(unit,X1),X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.212.2.0','0.631.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.635.1.0',plain,
% 52.77/53.14 ( rd(rd(X1,mult(X2,X1)),X1) = rd(unit,ld(rd(unit,X1),X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.635.0.0']),
% 52.77/53.14 [weight('<119,631,212,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.635.2.0',plain,
% 52.77/53.14 ( rd(rd(X1,mult(X2,X1)),X1) = rd(unit,ld(rd(unit,X1),X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.635.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_635]).
% 52.77/53.14 cnf('0.636.0.0',plain,
% 52.77/53.14 ( rd(ld(mult(op_d,mult(X1,op_d)),mult(X2,op_d)),op_d) = mult(op_c,ld(ld(rd(unit,op_d),X1),X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.318.2.0','0.631.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.636.0.1',plain,
% 52.77/53.14 ( rd(ld(ld(op_c,rd(X1,op_c)),mult(X2,op_d)),op_d) = mult(op_c,ld(ld(rd(unit,op_d),X1),X2)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.636.0.0','0.27.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.1','L')]).
% 52.77/53.14 cnf('0.636.0.2',plain,
% 52.77/53.14 ( ld(rd(X1,op_c),rd(ld(op_d,mult(X2,op_d)),op_d)) = mult(op_c,ld(ld(rd(unit,op_d),X1),X2)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.636.0.1','0.375.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.636.0.3',plain,
% 52.77/53.14 ( ld(rd(X1,op_c),mult(rd(unit,op_d),X2)) = mult(op_c,ld(ld(rd(unit,op_d),X1),X2)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.636.0.2','0.296.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.636.0.4',plain,
% 52.77/53.14 ( ld(rd(X1,op_c),mult(op_c,X2)) = mult(op_c,ld(ld(rd(unit,op_d),X1),X2)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.636.0.3','0.14.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.636.0.5',plain,
% 52.77/53.14 ( ld(rd(X1,op_c),mult(op_c,X2)) = mult(op_c,ld(ld(op_c,X1),X2)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.636.0.4','0.14.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.1.1','L')]).
% 52.77/53.14 cnf('0.636.1.0',plain,
% 52.77/53.14 ( ld(rd(X1,op_c),mult(op_c,X2)) = mult(op_c,ld(ld(op_c,X1),X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.636.0.5']),
% 52.77/53.14 [weight('<119,631,318,[0,0,0,3]>')]).
% 52.77/53.14 cnf('0.636.2.0',plain,
% 52.77/53.14 ( mult(op_c,ld(ld(op_c,X1),X2)) = ld(rd(X1,op_c),mult(op_c,X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.636.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_636]).
% 52.77/53.14 cnf('0.637.0.0',plain,
% 52.77/53.14 ( mult(mult(X1,X2),ld(X2,unit)) = ld(X2,ld(rd(unit,X2),X1)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.345.2.0','0.631.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.637.1.0',plain,
% 52.77/53.14 ( mult(mult(X1,X2),ld(X2,unit)) = ld(X2,ld(rd(unit,X2),X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.637.0.0']),
% 52.77/53.14 [weight('<119,631,345,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.637.2.0',plain,
% 52.77/53.14 ( mult(mult(X1,X2),ld(X2,unit)) = ld(X2,ld(rd(unit,X2),X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.637.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_637]).
% 52.77/53.14 cnf('0.641.0.0',plain,
% 52.77/53.14 ( ld(rd(X1,op_d),rd(X2,op_d)) = ld(op_c,rd(ld(X1,X2),op_d)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.633.2.0','0.39.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.641.1.0',plain,
% 52.77/53.14 ( ld(rd(X1,op_d),rd(X2,op_d)) = ld(op_c,rd(ld(X1,X2),op_d)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.641.0.0']),
% 52.77/53.14 [weight('<119,633,39,[1,0,0,0]>')]).
% 52.77/53.14 cnf('0.641.2.0',plain,
% 52.77/53.14 ( ld(rd(X1,op_d),rd(X2,op_d)) = ld(op_c,rd(ld(X1,X2),op_d)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.641.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_641]).
% 52.77/53.14 cnf('0.642.0.0',plain,
% 52.77/53.14 ( ld(rd(ld(op_d,unit),op_d),rd(X1,op_d)) = rd(ld(op_c,mult(op_d,X1)),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.633.2.0','0.122.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.642.0.1',plain,
% 52.77/53.14 ( ld(mult(op_c,op_c),rd(X1,op_d)) = rd(ld(op_c,mult(op_d,X1)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.642.0.0','0.30.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.642.0.2',plain,
% 52.77/53.14 ( ld(mult(op_c,op_c),rd(X1,op_d)) = ld(op_c,mult(mult(op_d,X1),op_c)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.642.0.1','0.37.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.642.1.0',plain,
% 52.77/53.14 ( ld(mult(op_c,op_c),rd(X1,op_d)) = ld(op_c,mult(mult(op_d,X1),op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.642.0.2']),
% 52.77/53.14 [weight('<119,633,122,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.642.2.0',plain,
% 52.77/53.14 ( ld(mult(op_c,op_c),rd(X1,op_d)) = ld(op_c,mult(mult(op_d,X1),op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.642.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_642]).
% 52.77/53.14 cnf('0.643.0.0',plain,
% 52.77/53.14 ( ld(rd(rd(ld(op_d,X1),op_d),op_c),mult(op_c,X2)) = mult(op_c,ld(rd(X1,op_d),X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.636.2.0','0.41.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.643.0.1',plain,
% 52.77/53.14 ( ld(mult(op_c,X1),mult(op_c,X2)) = mult(op_c,ld(rd(X1,op_d),X2)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.643.0.0','0.34.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.643.0.2',plain,
% 52.77/53.14 ( ld(mult(op_c,X1),mult(op_c,X2)) = rd(ld(X1,mult(X2,op_d)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.643.0.1','0.318.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.643.1.0',plain,
% 52.77/53.14 ( ld(mult(op_c,X1),mult(op_c,X2)) = rd(ld(X1,mult(X2,op_d)),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.643.0.2']),
% 52.77/53.14 [weight('<119,636,41,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.643.2.0',plain,
% 52.77/53.14 ( rd(ld(X1,mult(X2,op_d)),op_d) = ld(mult(op_c,X1),mult(op_c,X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.643.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_643]).
% 52.77/53.14 cnf('0.644.0.0',plain,
% 52.77/53.14 ( mult(op_c,ld(rd(X1,op_d),X2)) = rd(ld(X1,mult(X2,op_d)),op_d) ),
% 52.77/53.14 inference(interreduction_right,[status(thm)],['0.318.2.0'])).
% 52.77/53.14 cnf('0.644.0.1',plain,
% 52.77/53.14 ( mult(op_c,ld(rd(X1,op_d),X2)) = ld(mult(op_c,X1),mult(op_c,X2)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.644.0.0','0.643.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.644.1.0',plain,
% 52.77/53.14 ( mult(op_c,ld(rd(X1,op_d),X2)) = ld(mult(op_c,X1),mult(op_c,X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.644.0.1']),
% 52.77/53.14 [weight('<119,318,643,[0,0,0,0]>')]).
% 52.77/53.14 cnf('0.644.2.0',plain,
% 52.77/53.14 ( mult(op_c,ld(rd(X1,op_d),X2)) = ld(mult(op_c,X1),mult(op_c,X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.644.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_644]).
% 52.77/53.14 cnf('0.648.0.0',plain,
% 52.77/53.14 ( ld(op_c,mult(mult(op_d,ld(op_d,mult(X1,op_d))),op_c)) = ld(mult(op_c,op_c),mult(rd(unit,op_d),X1)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.642.2.0','0.296.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.648.0.1',plain,
% 52.77/53.14 ( ld(op_c,mult(mult(X1,op_d),op_c)) = ld(mult(op_c,op_c),mult(rd(unit,op_d),X1)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.648.0.0','0.1.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.648.0.2',plain,
% 52.77/53.14 ( ld(op_c,mult(mult(X1,op_d),op_c)) = ld(mult(op_c,op_c),mult(op_c,X1)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.648.0.1','0.14.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.1','L')]).
% 52.77/53.14 cnf('0.648.1.0',plain,
% 52.77/53.14 ( ld(op_c,mult(mult(X1,op_d),op_c)) = ld(mult(op_c,op_c),mult(op_c,X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.648.0.2']),
% 52.77/53.14 [weight('<119,642,296,[1,0,0,4]>')]).
% 52.77/53.14 cnf('0.648.2.0',plain,
% 52.77/53.14 ( ld(mult(op_c,op_c),mult(op_c,X1)) = ld(op_c,mult(mult(X1,op_d),op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.648.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_648]).
% 52.77/53.14 cnf('0.649.0.0',plain,
% 52.77/53.14 ( ld(mult(op_c,X1),mult(op_c,ld(op_c,rd(X2,op_d)))) = rd(ld(X1,mult(op_d,mult(X2,ld(op_d,op_d)))),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.643.2.0','0.291.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.649.0.1',plain,
% 52.77/53.14 ( ld(mult(op_c,X1),rd(ld(mult(op_c,op_d),X2),op_d)) = rd(ld(X1,mult(op_d,mult(X2,ld(op_d,op_d)))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.649.0.0','0.324.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.649.0.2',plain,
% 52.77/53.14 ( ld(mult(op_c,X1),rd(ld(unit,X2),op_d)) = rd(ld(X1,mult(op_d,mult(X2,ld(op_d,op_d)))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.649.0.1','0.9.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1.1','L')]).
% 52.77/53.14 cnf('0.649.0.3',plain,
% 52.77/53.14 ( ld(mult(op_c,X1),rd(X2,op_d)) = rd(ld(X1,mult(op_d,mult(X2,ld(op_d,op_d)))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.649.0.2','0.10.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.649.0.4',plain,
% 52.77/53.14 ( ld(mult(op_c,X1),rd(X2,op_d)) = rd(ld(X1,mult(op_d,mult(X2,unit))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.649.0.3','0.13.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1.2.2.2','L')]).
% 52.77/53.14 cnf('0.649.0.5',plain,
% 52.77/53.14 ( ld(mult(op_c,X1),rd(X2,op_d)) = rd(ld(X1,mult(op_d,X2)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.649.0.4','0.2.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1.2.2','L')]).
% 52.77/53.14 cnf('0.649.1.0',plain,
% 52.77/53.14 ( ld(mult(op_c,X1),rd(X2,op_d)) = rd(ld(X1,mult(op_d,X2)),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.649.0.5']),
% 52.77/53.14 [weight('<119,643,291,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.649.2.0',plain,
% 52.77/53.14 ( rd(ld(X1,mult(op_d,X2)),op_d) = ld(mult(op_c,X1),rd(X2,op_d)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.649.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_649]).
% 52.77/53.14 cnf('0.666.0.0',plain,
% 52.77/53.14 ( ld(op_c,ld(rd(X1,op_c),rd(X2,op_c))) = mult(ld(X1,X2),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.319.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.666.1.0',plain,
% 52.77/53.14 ( ld(op_c,ld(rd(X1,op_c),rd(X2,op_c))) = mult(ld(X1,X2),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.666.0.0']),
% 52.77/53.14 [weight('<149,319,4,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.666.2.0',plain,
% 52.77/53.14 ( ld(op_c,ld(rd(X1,op_c),rd(X2,op_c))) = mult(ld(X1,X2),op_d) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.666.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_666]).
% 52.77/53.14 cnf('0.686.0.0',plain,
% 52.77/53.14 ( rd(mult(X1,X2),X1) = rd(mult(X1,mult(X2,ld(X1,X3))),X3) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.5.2.0','0.347.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.686.1.0',plain,
% 52.77/53.14 ( rd(mult(X1,X2),X1) = rd(mult(X1,mult(X2,ld(X1,X3))),X3) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.686.0.0']),
% 52.77/53.14 [weight('<149,347,5,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.686.2.0',plain,
% 52.77/53.14 ( rd(mult(X1,mult(X2,ld(X1,X3))),X3) = rd(mult(X1,X2),X1) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.686.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_686]).
% 52.77/53.14 cnf('0.710.0.0',plain,
% 52.77/53.14 ( ld(X1,mult(X2,X1)) = rd(ld(X1,mult(X2,X3)),ld(X1,X3)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.370.2.0','0.1.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2.2','L')]).
% 52.77/53.14 cnf('0.710.1.0',plain,
% 52.77/53.14 ( ld(X1,mult(X2,X1)) = rd(ld(X1,mult(X2,X3)),ld(X1,X3)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.710.0.0']),
% 52.77/53.14 [weight('<149,370,1,[1,0,0,5]>')]).
% 52.77/53.14 cnf('0.710.2.0',plain,
% 52.77/53.14 ( rd(ld(X1,mult(X2,X3)),ld(X1,X3)) = ld(X1,mult(X2,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.710.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_710]).
% 52.77/53.14 cnf('0.712.0.0',plain,
% 52.77/53.14 ( ld(X1,mult(rd(X2,X3),X1)) = rd(ld(X1,X2),ld(X1,X3)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.710.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.712.1.0',plain,
% 52.77/53.14 ( ld(X1,mult(rd(X2,X3),X1)) = rd(ld(X1,X2),ld(X1,X3)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.712.0.0']),
% 52.77/53.14 [weight('<119,710,4,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.712.2.0',plain,
% 52.77/53.14 ( rd(ld(X1,X2),ld(X1,X3)) = ld(X1,mult(rd(X2,X3),X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.712.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_712]).
% 52.77/53.14 cnf('0.714.0.0',plain,
% 52.77/53.14 ( ld(X1,mult(rd(X1,X2),X1)) = rd(unit,ld(X1,X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.712.2.0','0.13.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.714.1.0',plain,
% 52.77/53.14 ( ld(X1,mult(rd(X1,X2),X1)) = rd(unit,ld(X1,X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.714.0.0']),
% 52.77/53.14 [weight('<103,712,13,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.714.2.0',plain,
% 52.77/53.14 ( ld(X1,mult(rd(X1,X2),X1)) = rd(unit,ld(X1,X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.714.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_714]).
% 52.77/53.14 cnf('0.717.0.0',plain,
% 52.77/53.14 ( mult(rd(X1,X2),X1) = mult(X1,rd(unit,ld(X1,X2))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1.2.0','0.714.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.717.1.0',plain,
% 52.77/53.14 ( mult(rd(X1,X2),X1) = mult(X1,rd(unit,ld(X1,X2))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.717.0.0']),
% 52.77/53.14 [weight('<103,714,1,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.717.2.0',plain,
% 52.77/53.14 ( mult(X1,rd(unit,ld(X1,X2))) = mult(rd(X1,X2),X1) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.717.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_717]).
% 52.77/53.14 cnf('0.718.0.0',plain,
% 52.77/53.14 ( rd(unit,ld(X1,ld(X2,X1))) = ld(X1,mult(X2,X1)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.714.2.0','0.16.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.718.1.0',plain,
% 52.77/53.14 ( rd(unit,ld(X1,ld(X2,X1))) = ld(X1,mult(X2,X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.718.0.0']),
% 52.77/53.14 [weight('<103,714,16,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.718.2.0',plain,
% 52.77/53.14 ( rd(unit,ld(X1,ld(X2,X1))) = ld(X1,mult(X2,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.718.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_718]).
% 52.77/53.14 cnf('0.721.0.0',plain,
% 52.77/53.14 ( mult(rd(X1,mult(X1,X2)),X1) = mult(X1,rd(unit,X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.717.2.0','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.2','L')]).
% 52.77/53.14 cnf('0.721.1.0',plain,
% 52.77/53.14 ( mult(rd(X1,mult(X1,X2)),X1) = mult(X1,rd(unit,X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.721.0.0']),
% 52.77/53.14 [weight('<103,717,6,[1,0,0,4]>')]).
% 52.77/53.14 cnf('0.721.2.0',plain,
% 52.77/53.14 ( mult(rd(X1,mult(X1,X2)),X1) = mult(X1,rd(unit,X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.721.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_721]).
% 52.77/53.14 cnf('0.722.0.0',plain,
% 52.77/53.14 ( ld(X1,ld(X2,X1)) = ld(ld(X1,mult(X2,X1)),unit) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.17.2.0','0.718.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.722.1.0',plain,
% 52.77/53.14 ( ld(X1,ld(X2,X1)) = ld(ld(X1,mult(X2,X1)),unit) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.722.0.0']),
% 52.77/53.14 [weight('<103,718,17,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.722.2.0',plain,
% 52.77/53.14 ( ld(ld(X1,mult(X2,X1)),unit) = ld(X1,ld(X2,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.722.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_722]).
% 52.77/53.14 cnf('0.723.0.0',plain,
% 52.77/53.14 ( rd(X1,mult(X1,X2)) = rd(mult(X1,rd(unit,X2)),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.5.2.0','0.721.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.723.1.0',plain,
% 52.77/53.14 ( rd(X1,mult(X1,X2)) = rd(mult(X1,rd(unit,X2)),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.723.0.0']),
% 52.77/53.14 [weight('<103,721,5,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.723.2.0',plain,
% 52.77/53.14 ( rd(mult(X1,rd(unit,X2)),X1) = rd(X1,mult(X1,X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.723.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_723]).
% 52.77/53.14 cnf('0.724.0.0',plain,
% 52.77/53.14 ( ld(X1,ld(rd(X2,X1),X1)) = ld(ld(X1,X2),unit) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.722.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.724.1.0',plain,
% 52.77/53.14 ( ld(X1,ld(rd(X2,X1),X1)) = ld(ld(X1,X2),unit) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.724.0.0']),
% 52.77/53.14 [weight('<103,722,4,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.724.2.0',plain,
% 52.77/53.14 ( ld(X1,ld(rd(X2,X1),X1)) = ld(ld(X1,X2),unit) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.724.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_724]).
% 52.77/53.14 cnf('0.725.0.0',plain,
% 52.77/53.14 ( rd(X1,mult(X1,ld(X2,unit))) = rd(mult(X1,X2),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.723.2.0','0.16.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.725.1.0',plain,
% 52.77/53.14 ( rd(X1,mult(X1,ld(X2,unit))) = rd(mult(X1,X2),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.725.0.0']),
% 52.77/53.14 [weight('<103,723,16,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.725.2.0',plain,
% 52.77/53.14 ( rd(X1,mult(X1,ld(X2,unit))) = rd(mult(X1,X2),X1) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.725.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_725]).
% 52.77/53.14 cnf('0.727.0.0',plain,
% 52.77/53.14 ( mult(X1,ld(X2,unit)) = ld(rd(mult(X1,X2),X1),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.17.2.0','0.725.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.727.1.0',plain,
% 52.77/53.14 ( mult(X1,ld(X2,unit)) = ld(rd(mult(X1,X2),X1),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.727.0.0']),
% 52.77/53.14 [weight('<103,725,17,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.727.2.0',plain,
% 52.77/53.14 ( ld(rd(mult(X1,X2),X1),X1) = mult(X1,ld(X2,unit)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.727.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_727]).
% 52.77/53.14 cnf('0.737.0.0',plain,
% 52.77/53.14 ( mult(X1,ld(mult(X2,X1),unit)) = ld(ld(rd(unit,X1),X2),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.727.2.0','0.631.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.737.1.0',plain,
% 52.77/53.14 ( mult(X1,ld(mult(X2,X1),unit)) = ld(ld(rd(unit,X1),X2),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.737.0.0']),
% 52.77/53.14 [weight('<119,727,631,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.737.2.0',plain,
% 52.77/53.14 ( mult(X1,ld(mult(X2,X1),unit)) = ld(ld(rd(unit,X1),X2),X1) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.737.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_737]).
% 52.77/53.14 cnf('0.748.0.0',plain,
% 52.77/53.14 ( ld(X1,mult(rd(X2,mult(X1,X3)),X1)) = rd(ld(X1,X2),X3) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.370.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.748.1.0',plain,
% 52.77/53.14 ( ld(X1,mult(rd(X2,mult(X1,X3)),X1)) = rd(ld(X1,X2),X3) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.748.0.0']),
% 52.77/53.14 [weight('<149,370,4,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.748.2.0',plain,
% 52.77/53.14 ( ld(X1,mult(rd(X2,mult(X1,X3)),X1)) = rd(ld(X1,X2),X3) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.748.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_748]).
% 52.77/53.14 cnf('0.749.0.0',plain,
% 52.77/53.14 ( mult(rd(X1,mult(X2,X3)),X2) = mult(X2,rd(ld(X2,X1),X3)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1.2.0','0.748.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.749.1.0',plain,
% 52.77/53.14 ( mult(rd(X1,mult(X2,X3)),X2) = mult(X2,rd(ld(X2,X1),X3)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.749.0.0']),
% 52.77/53.14 [weight('<119,748,1,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.749.2.0',plain,
% 52.77/53.14 ( mult(rd(X1,mult(X2,X3)),X2) = mult(X2,rd(ld(X2,X1),X3)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.749.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_749]).
% 52.77/53.14 cnf('0.751.0.0',plain,
% 52.77/53.14 ( mult(rd(unit,mult(X1,X2)),X1) = rd(X1,rd(X2,ld(X1,unit))) ),
% 52.77/53.14 inference(interreduction_right,[status(thm)],['0.353.2.0'])).
% 52.77/53.14 cnf('0.751.0.1',plain,
% 52.77/53.14 ( mult(X1,rd(ld(X1,unit),X2)) = rd(X1,rd(X2,ld(X1,unit))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.751.0.0','0.749.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.751.1.0',plain,
% 52.77/53.14 ( mult(X1,rd(ld(X1,unit),X2)) = rd(X1,rd(X2,ld(X1,unit))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.751.0.1']),
% 52.77/53.14 [weight('<119,353,749,[0,0,0,0]>')]).
% 52.77/53.14 cnf('0.751.2.0',plain,
% 52.77/53.14 ( mult(X1,rd(ld(X1,unit),X2)) = rd(X1,rd(X2,ld(X1,unit))) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.751.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_751]).
% 52.77/53.14 cnf('0.752.0.0',plain,
% 52.77/53.14 ( mult(rd(X1,mult(op_c,X2)),op_c) = rd(mult(X1,op_c),rd(X2,op_d)) ),
% 52.77/53.14 inference(interreduction_right,[status(thm)],['0.607.2.0'])).
% 52.77/53.14 cnf('0.752.0.1',plain,
% 52.77/53.14 ( mult(op_c,rd(ld(op_c,X1),X2)) = rd(mult(X1,op_c),rd(X2,op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.752.0.0','0.749.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.752.1.0',plain,
% 52.77/53.14 ( mult(op_c,rd(ld(op_c,X1),X2)) = rd(mult(X1,op_c),rd(X2,op_d)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.752.0.1']),
% 52.77/53.14 [weight('<119,607,749,[0,0,0,0]>')]).
% 52.77/53.14 cnf('0.752.2.0',plain,
% 52.77/53.14 ( mult(op_c,rd(ld(op_c,X1),X2)) = rd(mult(X1,op_c),rd(X2,op_d)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.752.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_752]).
% 52.77/53.14 cnf('0.758.0.0',plain,
% 52.77/53.14 ( rd(mult(rd(mult(op_c,X1),op_c),op_c),rd(X2,op_d)) = mult(op_c,rd(mult(X1,ld(op_c,unit)),X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.752.2.0','0.345.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.758.0.1',plain,
% 52.77/53.14 ( rd(mult(op_c,mult(X1,ld(op_c,op_c))),rd(X2,op_d)) = mult(op_c,rd(mult(X1,ld(op_c,unit)),X2)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.758.0.0','0.347.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.758.0.2',plain,
% 52.77/53.14 ( rd(mult(op_c,mult(X1,unit)),rd(X2,op_d)) = mult(op_c,rd(mult(X1,ld(op_c,unit)),X2)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.758.0.1','0.13.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2.2','L')]).
% 52.77/53.14 cnf('0.758.0.3',plain,
% 52.77/53.14 ( rd(mult(op_c,X1),rd(X2,op_d)) = mult(op_c,rd(mult(X1,ld(op_c,unit)),X2)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.758.0.2','0.2.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.758.0.4',plain,
% 52.77/53.14 ( rd(mult(op_c,X1),rd(X2,op_d)) = mult(op_c,rd(mult(X1,op_d),X2)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.758.0.3','0.15.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.1.2','L')]).
% 52.77/53.14 cnf('0.758.1.0',plain,
% 52.77/53.14 ( rd(mult(op_c,X1),rd(X2,op_d)) = mult(op_c,rd(mult(X1,op_d),X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.758.0.4']),
% 52.77/53.14 [weight('<119,752,345,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.758.2.0',plain,
% 52.77/53.14 ( mult(op_c,rd(mult(X1,op_d),X2)) = rd(mult(op_c,X1),rd(X2,op_d)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.758.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_758]).
% 52.77/53.14 cnf('0.764.0.0',plain,
% 52.77/53.14 ( rd(mult(op_c,X1),rd(ld(op_d,mult(X2,op_d)),op_d)) = mult(op_c,mult(rd(X1,X2),op_d)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.758.2.0','0.603.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.764.0.1',plain,
% 52.77/53.14 ( rd(mult(op_c,X1),ld(mult(op_c,op_d),mult(op_c,X2))) = mult(op_c,mult(rd(X1,X2),op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.764.0.0','0.643.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.764.0.2',plain,
% 52.77/53.14 ( rd(mult(op_c,X1),ld(unit,mult(op_c,X2))) = mult(op_c,mult(rd(X1,X2),op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.764.0.1','0.9.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.764.0.3',plain,
% 52.77/53.14 ( rd(mult(op_c,X1),mult(op_c,X2)) = mult(op_c,mult(rd(X1,X2),op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.764.0.2','0.10.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.764.0.4',plain,
% 52.77/53.14 ( rd(mult(op_c,X1),mult(op_c,X2)) = rd(mult(op_c,rd(X1,X2)),op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.764.0.3','0.18.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.764.1.0',plain,
% 52.77/53.14 ( rd(mult(op_c,X1),mult(op_c,X2)) = rd(mult(op_c,rd(X1,X2)),op_c) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.764.0.4']),
% 52.77/53.14 [weight('<119,758,603,[1,0,0,2]>')]).
% 52.77/53.14 cnf('0.764.2.0',plain,
% 52.77/53.14 ( rd(mult(op_c,rd(X1,X2)),op_c) = rd(mult(op_c,X1),mult(op_c,X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.764.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_764]).
% 52.77/53.14 cnf('0.776.0.0',plain,
% 52.77/53.14 ( mult(mult(op_c,rd(X1,mult(X2,op_d))),X2) = rd(ld(op_d,X1),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.372.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.776.1.0',plain,
% 52.77/53.14 ( mult(mult(op_c,rd(X1,mult(X2,op_d))),X2) = rd(ld(op_d,X1),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.776.0.0']),
% 52.77/53.14 [weight('<149,372,4,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.776.2.0',plain,
% 52.77/53.14 ( mult(mult(op_c,rd(X1,mult(X2,op_d))),X2) = rd(ld(op_d,X1),op_d) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.776.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_776]).
% 52.77/53.14 cnf('0.777.0.0',plain,
% 52.77/53.14 ( mult(op_c,rd(X1,mult(X2,op_d))) = rd(rd(ld(op_d,X1),op_d),X2) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.5.2.0','0.776.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.777.1.0',plain,
% 52.77/53.14 ( mult(op_c,rd(X1,mult(X2,op_d))) = rd(rd(ld(op_d,X1),op_d),X2) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.777.0.0']),
% 52.77/53.14 [weight('<119,776,5,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.777.2.0',plain,
% 52.77/53.14 ( mult(op_c,rd(X1,mult(X2,op_d))) = rd(rd(ld(op_d,X1),op_d),X2) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.777.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_777]).
% 52.77/53.14 cnf('0.781.0.0',plain,
% 52.77/53.14 ( ld(mult(op_c,X1),rd(ld(op_d,X2),op_d)) = rd(ld(X1,X2),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.375.2.0','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.1','L')]).
% 52.77/53.14 cnf('0.781.1.0',plain,
% 52.77/53.14 ( ld(mult(op_c,X1),rd(ld(op_d,X2),op_d)) = rd(ld(X1,X2),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.781.0.0']),
% 52.77/53.14 [weight('<149,375,6,[1,0,0,2]>')]).
% 52.77/53.14 cnf('0.781.2.0',plain,
% 52.77/53.14 ( ld(mult(op_c,X1),rd(ld(op_d,X2),op_d)) = rd(ld(X1,X2),op_d) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.781.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_781]).
% 52.77/53.14 cnf('0.782.0.0',plain,
% 52.77/53.14 ( rd(ld(X1,ld(op_c,X2)),op_d) = ld(mult(op_c,X1),mult(X2,op_c)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.781.2.0','0.40.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.782.1.0',plain,
% 52.77/53.14 ( rd(ld(X1,ld(op_c,X2)),op_d) = ld(mult(op_c,X1),mult(X2,op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.782.0.0']),
% 52.77/53.14 [weight('<119,781,40,[1,0,0,4]>')]).
% 52.77/53.14 cnf('0.782.2.0',plain,
% 52.77/53.14 ( rd(ld(X1,ld(op_c,X2)),op_d) = ld(mult(op_c,X1),mult(X2,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.782.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_782]).
% 52.77/53.14 cnf('0.785.0.0',plain,
% 52.77/53.14 ( rd(mult(op_c,ld(X1,ld(op_c,X2))),mult(op_c,op_d)) = rd(mult(op_c,ld(mult(op_c,X1),mult(X2,op_c))),op_c) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.764.2.0','0.782.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.785.0.1',plain,
% 52.77/53.14 ( rd(mult(op_c,ld(X1,ld(op_c,X2))),unit) = rd(mult(op_c,ld(mult(op_c,X1),mult(X2,op_c))),op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.785.0.0','0.9.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.785.0.2',plain,
% 52.77/53.14 ( mult(op_c,ld(X1,ld(op_c,X2))) = rd(mult(op_c,ld(mult(op_c,X1),mult(X2,op_c))),op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.785.0.1','0.11.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.785.0.3',plain,
% 52.77/53.14 ( mult(op_c,ld(X1,ld(op_c,X2))) = ld(rd(mult(op_c,X1),op_c),rd(mult(X2,op_c),op_c)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.785.0.2','0.633.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.785.0.4',plain,
% 52.77/53.14 ( mult(op_c,ld(X1,ld(op_c,X2))) = ld(rd(mult(op_c,X1),op_c),X2) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.785.0.3','0.5.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2','L')]).
% 52.77/53.14 cnf('0.785.1.0',plain,
% 52.77/53.14 ( mult(op_c,ld(X1,ld(op_c,X2))) = ld(rd(mult(op_c,X1),op_c),X2) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.785.0.4']),
% 52.77/53.14 [weight('<119,782,764,[0,0,0,3]>')]).
% 52.77/53.14 cnf('0.785.2.0',plain,
% 52.77/53.14 ( mult(op_c,ld(X1,ld(op_c,X2))) = ld(rd(mult(op_c,X1),op_c),X2) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.785.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_785]).
% 52.77/53.14 cnf('0.800.0.0',plain,
% 52.77/53.14 ( ld(op_d,ld(ld(op_c,rd(X1,op_d)),X2)) = ld(X1,ld(op_d,X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.435.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.800.1.0',plain,
% 52.77/53.14 ( ld(op_d,ld(ld(op_c,rd(X1,op_d)),X2)) = ld(X1,ld(op_d,X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.800.0.0']),
% 52.77/53.14 [weight('<149,435,4,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.800.2.0',plain,
% 52.77/53.14 ( ld(op_d,ld(ld(op_c,rd(X1,op_d)),X2)) = ld(X1,ld(op_d,X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.800.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_800]).
% 52.77/53.14 cnf('0.802.0.0',plain,
% 52.77/53.14 ( ld(ld(op_d,X1),ld(op_d,X2)) = ld(op_d,ld(rd(X1,op_d),X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.800.2.0','0.41.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.802.1.0',plain,
% 52.77/53.14 ( ld(ld(op_d,X1),ld(op_d,X2)) = ld(op_d,ld(rd(X1,op_d),X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.802.0.0']),
% 52.77/53.14 [weight('<119,800,41,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.802.2.0',plain,
% 52.77/53.14 ( ld(ld(op_d,X1),ld(op_d,X2)) = ld(op_d,ld(rd(X1,op_d),X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.802.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_802]).
% 52.77/53.14 cnf('0.805.0.0',plain,
% 52.77/53.14 ( ld(op_d,ld(ld(op_c,X1),ld(op_c,rd(X2,op_c)))) = ld(mult(X1,op_d),mult(X2,op_d)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.435.2.0','0.26.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.805.0.1',plain,
% 52.77/53.14 ( ld(op_d,ld(ld(op_c,X1),ld(op_c,rd(X2,op_c)))) = ld(op_d,mult(ld(X1,X2),op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.805.0.0','0.167.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.805.1.0',plain,
% 52.77/53.14 ( ld(ld(op_c,X1),ld(op_c,rd(X2,op_c))) = mult(ld(X1,X2),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.805.0.1']),
% 52.77/53.14 [weight('<149,435,26,[1,0,0,4]>')]).
% 52.77/53.14 cnf('0.805.2.0',plain,
% 52.77/53.14 ( ld(ld(op_c,X1),ld(op_c,rd(X2,op_c))) = mult(ld(X1,X2),op_d) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.805.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_805]).
% 52.77/53.14 cnf('0.806.0.0',plain,
% 52.77/53.14 ( mult(ld(X1,mult(X2,op_c)),op_d) = ld(ld(op_c,X1),ld(op_c,X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.805.2.0','0.5.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.2','L')]).
% 52.77/53.14 cnf('0.806.0.1',plain,
% 52.77/53.14 ( ld(op_c,ld(rd(X1,op_c),X2)) = ld(ld(op_c,X1),ld(op_c,X2)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.806.0.0','0.319.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.806.1.0',plain,
% 52.77/53.14 ( ld(op_c,ld(rd(X1,op_c),X2)) = ld(ld(op_c,X1),ld(op_c,X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.806.0.1']),
% 52.77/53.14 [weight('<119,805,5,[1,0,0,6]>')]).
% 52.77/53.14 cnf('0.806.2.0',plain,
% 52.77/53.14 ( ld(ld(op_c,X1),ld(op_c,X2)) = ld(op_c,ld(rd(X1,op_c),X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.806.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_806]).
% 52.77/53.14 cnf('0.808.0.0',plain,
% 52.77/53.14 ( ld(op_c,ld(rd(X1,op_c),rd(mult(op_c,X2),op_c))) = ld(ld(op_c,X1),mult(X2,ld(op_c,unit))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.806.2.0','0.345.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.808.0.1',plain,
% 52.77/53.14 ( mult(ld(X1,mult(op_c,X2)),op_d) = ld(ld(op_c,X1),mult(X2,ld(op_c,unit))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.808.0.0','0.666.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.808.0.2',plain,
% 52.77/53.14 ( mult(ld(X1,mult(op_c,X2)),op_d) = ld(ld(op_c,X1),mult(X2,op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.808.0.1','0.15.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.2','L')]).
% 52.77/53.14 cnf('0.808.1.0',plain,
% 52.77/53.14 ( mult(ld(X1,mult(op_c,X2)),op_d) = ld(ld(op_c,X1),mult(X2,op_d)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.808.0.2']),
% 52.77/53.14 [weight('<119,806,345,[1,0,0,4]>')]).
% 52.77/53.14 cnf('0.808.2.0',plain,
% 52.77/53.14 ( mult(ld(X1,mult(op_c,X2)),op_d) = ld(ld(op_c,X1),mult(X2,op_d)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.808.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_808]).
% 52.77/53.14 cnf('0.809.0.0',plain,
% 52.77/53.14 ( ld(ld(op_c,X1),mult(X1,op_d)) = ld(X1,mult(op_c,mult(X1,op_d))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.808.2.0','0.289.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.809.0.1',plain,
% 52.77/53.14 ( ld(ld(op_c,X1),mult(X1,op_d)) = ld(X1,rd(mult(op_c,X1),op_c)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.809.0.0','0.18.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2','L')]).
% 52.77/53.14 cnf('0.809.1.0',plain,
% 52.77/53.14 ( ld(ld(op_c,X1),mult(X1,op_d)) = ld(X1,rd(mult(op_c,X1),op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.809.0.1']),
% 52.77/53.14 [weight('<119,808,289,[1,0,0,0]>')]).
% 52.77/53.14 cnf('0.809.2.0',plain,
% 52.77/53.14 ( ld(ld(op_c,X1),mult(X1,op_d)) = ld(X1,rd(mult(op_c,X1),op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.809.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_809]).
% 52.77/53.14 cnf('0.810.0.0',plain,
% 52.77/53.14 ( ld(rd(X1,op_d),rd(mult(op_c,rd(X1,op_d)),op_c)) = ld(ld(op_c,rd(X1,op_d)),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.809.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.810.0.1',plain,
% 52.77/53.14 ( ld(rd(X1,op_d),rd(mult(op_c,X1),mult(op_c,op_d))) = ld(ld(op_c,rd(X1,op_d)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.810.0.0','0.764.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.810.0.2',plain,
% 52.77/53.14 ( ld(rd(X1,op_d),rd(mult(op_c,X1),unit)) = ld(ld(op_c,rd(X1,op_d)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.810.0.1','0.9.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.2','L')]).
% 52.77/53.14 cnf('0.810.0.3',plain,
% 52.77/53.14 ( ld(rd(X1,op_d),mult(op_c,X1)) = ld(ld(op_c,rd(X1,op_d)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.810.0.2','0.11.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.810.1.0',plain,
% 52.77/53.14 ( ld(rd(X1,op_d),mult(op_c,X1)) = ld(ld(op_c,rd(X1,op_d)),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.810.0.3']),
% 52.77/53.14 [weight('<119,809,4,[1,0,0,4]>')]).
% 52.77/53.14 cnf('0.810.2.0',plain,
% 52.77/53.14 ( ld(ld(op_c,rd(X1,op_d)),X1) = ld(rd(X1,op_d),mult(op_c,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.810.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_810]).
% 52.77/53.14 cnf('0.813.0.0',plain,
% 52.77/53.14 ( rd(ld(mult(ld(op_c,rd(rd(X1,op_d),op_d)),op_d),X1),op_d) = mult(op_c,ld(rd(rd(X1,op_d),op_d),mult(op_c,rd(X1,op_d)))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.324.2.0','0.810.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.813.0.1',plain,
% 52.77/53.14 ( rd(ld(mult(op_d,mult(rd(X1,op_d),ld(op_d,op_d))),X1),op_d) = mult(op_c,ld(rd(rd(X1,op_d),op_d),mult(op_c,rd(X1,op_d)))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.813.0.0','0.291.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.1','L')]).
% 52.77/53.14 cnf('0.813.0.2',plain,
% 52.77/53.14 ( rd(ld(mult(op_d,mult(rd(X1,op_d),unit)),X1),op_d) = mult(op_c,ld(rd(rd(X1,op_d),op_d),mult(op_c,rd(X1,op_d)))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.813.0.1','0.13.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.1.2.2','L')]).
% 52.77/53.14 cnf('0.813.0.3',plain,
% 52.77/53.14 ( rd(ld(mult(op_d,rd(X1,op_d)),X1),op_d) = mult(op_c,ld(rd(rd(X1,op_d),op_d),mult(op_c,rd(X1,op_d)))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.813.0.2','0.2.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.1.2','L')]).
% 52.77/53.14 cnf('0.813.0.4',plain,
% 52.77/53.14 ( rd(ld(mult(op_d,rd(X1,op_d)),X1),op_d) = ld(mult(op_c,rd(X1,op_d)),mult(op_c,mult(op_c,rd(X1,op_d)))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.813.0.3','0.644.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.813.0.5',plain,
% 52.77/53.14 ( rd(ld(mult(op_d,rd(X1,op_d)),X1),op_d) = ld(rd(ld(op_d,X1),op_d),mult(op_c,mult(op_c,rd(X1,op_d)))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.813.0.4','0.31.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1','L')]).
% 52.77/53.14 cnf('0.813.0.6',plain,
% 52.77/53.14 ( rd(ld(mult(op_d,rd(X1,op_d)),X1),op_d) = ld(rd(ld(op_d,X1),op_d),mult(op_c,rd(ld(op_d,X1),op_d))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.813.0.5','0.31.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.2','L')]).
% 52.77/53.14 cnf('0.813.0.7',plain,
% 52.77/53.14 ( rd(ld(mult(op_d,rd(X1,op_d)),X1),op_d) = ld(rd(ld(op_d,X1),op_d),rd(ld(op_d,ld(op_d,X1)),op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.813.0.6','0.31.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2','L')]).
% 52.77/53.14 cnf('0.813.0.8',plain,
% 52.77/53.14 ( rd(ld(mult(op_d,rd(X1,op_d)),X1),op_d) = ld(op_c,rd(ld(ld(op_d,X1),ld(op_d,ld(op_d,X1))),op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.813.0.7','0.641.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.813.0.9',plain,
% 52.77/53.14 ( rd(ld(mult(op_d,rd(X1,op_d)),X1),op_d) = ld(op_c,rd(ld(op_d,ld(rd(X1,op_d),ld(op_d,X1))),op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.813.0.8','0.802.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.1','L')]).
% 52.77/53.14 cnf('0.813.0.10',plain,
% 52.77/53.14 ( rd(ld(mult(op_d,rd(X1,op_d)),X1),op_d) = rd(ld(rd(X1,op_d),ld(op_d,X1)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.813.0.9','0.41.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.813.1.0',plain,
% 52.77/53.14 ( ld(mult(op_d,rd(X1,op_d)),X1) = ld(rd(X1,op_d),ld(op_d,X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.813.0.10']),
% 52.77/53.14 [weight('<119,810,324,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.813.2.0',plain,
% 52.77/53.14 ( ld(mult(op_d,rd(X1,op_d)),X1) = ld(rd(X1,op_d),ld(op_d,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.813.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_813]).
% 52.77/53.14 cnf('0.815.0.0',plain,
% 52.77/53.14 ( ld(rd(mult(X1,op_d),op_d),ld(op_d,mult(X1,op_d))) = ld(mult(op_d,X1),mult(X1,op_d)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.813.2.0','0.5.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.815.0.1',plain,
% 52.77/53.14 ( ld(X1,ld(op_d,mult(X1,op_d))) = ld(mult(op_d,X1),mult(X1,op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.815.0.0','0.5.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.815.1.0',plain,
% 52.77/53.14 ( ld(X1,ld(op_d,mult(X1,op_d))) = ld(mult(op_d,X1),mult(X1,op_d)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.815.0.1']),
% 52.77/53.14 [weight('<119,813,5,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.815.2.0',plain,
% 52.77/53.14 ( ld(mult(op_d,X1),mult(X1,op_d)) = ld(X1,ld(op_d,mult(X1,op_d))) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.815.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_815]).
% 52.77/53.14 cnf('0.869.0.0',plain,
% 52.77/53.14 ( rd(rd(X1,X2),X3) = rd(rd(X1,ld(X2,mult(X3,X2))),X2) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.5.2.0','0.604.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.869.1.0',plain,
% 52.77/53.14 ( rd(rd(X1,X2),X3) = rd(rd(X1,ld(X2,mult(X3,X2))),X2) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.869.0.0']),
% 52.77/53.14 [weight('<149,604,5,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.869.2.0',plain,
% 52.77/53.14 ( rd(rd(X1,ld(X2,mult(X3,X2))),X2) = rd(rd(X1,X2),X3) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.869.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_869]).
% 52.77/53.14 cnf('0.870.0.0',plain,
% 52.77/53.14 ( rd(rd(X1,X2),rd(X3,X2)) = rd(rd(X1,ld(X2,X3)),X2) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.869.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2.2','L')]).
% 52.77/53.14 cnf('0.870.1.0',plain,
% 52.77/53.14 ( rd(rd(X1,X2),rd(X3,X2)) = rd(rd(X1,ld(X2,X3)),X2) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.870.0.0']),
% 52.77/53.14 [weight('<119,869,4,[1,0,0,5]>')]).
% 52.77/53.14 cnf('0.870.2.0',plain,
% 52.77/53.14 ( rd(rd(X1,ld(X2,X3)),X2) = rd(rd(X1,X2),rd(X3,X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.870.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_870]).
% 52.77/53.14 cnf('0.887.0.0',plain,
% 52.77/53.14 ( rd(X1,mult(X2,X1)) = mult(rd(unit,ld(rd(unit,X1),X2)),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.4.2.0','0.635.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.887.1.0',plain,
% 52.77/53.14 ( rd(X1,mult(X2,X1)) = mult(rd(unit,ld(rd(unit,X1),X2)),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.887.0.0']),
% 52.77/53.14 [weight('<149,635,4,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.887.2.0',plain,
% 52.77/53.14 ( mult(rd(unit,ld(rd(unit,X1),X2)),X1) = rd(X1,mult(X2,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.887.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_887]).
% 52.77/53.14 cnf('0.902.0.0',plain,
% 52.77/53.14 ( ld(mult(op_c,op_c),mult(op_c,mult(op_c,op_c))) = rd(ld(op_c,mult(mult(mult(mult(op_c,op_c),X1),op_d),op_c)),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.370.2.0','0.648.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.902.0.1',plain,
% 52.77/53.14 ( ld(op_c,mult(mult(mult(op_c,op_c),op_d),op_c)) = rd(ld(op_c,mult(mult(mult(mult(op_c,op_c),X1),op_d),op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.902.0.0','0.648.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.902.0.2',plain,
% 52.77/53.14 ( ld(op_c,mult(ld(op_d,mult(op_c,op_d)),op_c)) = rd(ld(op_c,mult(mult(mult(mult(op_c,op_c),X1),op_d),op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.902.0.1','0.19.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.902.0.3',plain,
% 52.77/53.14 ( ld(op_c,ld(op_d,mult(op_c,mult(op_d,op_c)))) = rd(ld(op_c,mult(mult(mult(mult(op_c,op_c),X1),op_d),op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.902.0.2','0.289.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.902.0.4',plain,
% 52.77/53.14 ( ld(op_c,ld(op_d,rd(rd(op_c,op_d),op_c))) = rd(ld(op_c,mult(mult(mult(mult(op_c,op_c),X1),op_d),op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.902.0.3','0.35.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.2','L')]).
% 52.77/53.14 cnf('0.902.0.5',plain,
% 52.77/53.14 ( ld(op_c,ld(op_d,rd(unit,rd(unit,op_c)))) = rd(ld(op_c,mult(mult(mult(mult(op_c,op_c),X1),op_d),op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.902.0.4','0.182.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.2','L')]).
% 52.77/53.14 cnf('0.902.0.6',plain,
% 52.77/53.14 ( ld(op_c,mult(ld(op_d,unit),op_c)) = rd(ld(op_c,mult(mult(mult(mult(op_c,op_c),X1),op_d),op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.902.0.5','0.195.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.902.0.7',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),op_c) = rd(ld(op_c,mult(mult(mult(mult(op_c,op_c),X1),op_d),op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.902.0.6','0.168.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.902.0.8',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),op_c) = rd(ld(op_c,mult(ld(op_d,mult(op_c,mult(X1,op_d))),op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.902.0.7','0.300.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1.2.1','L')]).
% 52.77/53.14 cnf('0.902.0.9',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),op_c) = rd(ld(op_c,mult(ld(op_d,rd(mult(op_c,X1),op_c)),op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.902.0.8','0.18.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1.2.1.2','L')]).
% 52.77/53.14 cnf('0.902.0.10',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),op_c) = rd(ld(op_c,mult(op_c,ld(mult(op_d,op_c),mult(op_c,X1)))),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.902.0.9','0.323.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1.2','L')]).
% 52.77/53.14 cnf('0.902.0.11',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),op_c) = rd(ld(mult(op_d,op_c),mult(op_c,X1)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.902.0.10','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1','L')]).
% 52.77/53.14 cnf('0.902.1.0',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),op_c) = rd(ld(mult(op_d,op_c),mult(op_c,X1)),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.902.0.11']),
% 52.77/53.14 [weight('<149,648,370,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.902.2.0',plain,
% 52.77/53.14 ( rd(ld(mult(op_d,op_c),mult(op_c,X1)),X1) = ld(mult(op_d,op_c),op_c) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.902.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_902]).
% 52.77/53.14 cnf('0.904.0.0',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),mult(op_c,X1)) = mult(ld(mult(op_d,op_c),op_c),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.4.2.0','0.902.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.904.1.0',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),mult(op_c,X1)) = mult(ld(mult(op_d,op_c),op_c),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.904.0.0']),
% 52.77/53.14 [weight('<119,902,4,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.904.2.0',plain,
% 52.77/53.14 ( mult(ld(mult(op_d,op_c),op_c),X1) = ld(mult(op_d,op_c),mult(op_c,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.904.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_904]).
% 52.77/53.14 cnf('0.905.0.0',plain,
% 52.77/53.14 ( mult(mult(ld(mult(op_d,op_c),op_c),op_d),mult(X1,op_d)) = mult(ld(mult(op_d,op_c),mult(op_c,ld(op_c,X1))),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.239.2.0','0.904.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.905.0.1',plain,
% 52.77/53.14 ( mult(ld(mult(op_d,op_c),mult(op_c,op_d)),mult(X1,op_d)) = mult(ld(mult(op_d,op_c),mult(op_c,ld(op_c,X1))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.905.0.0','0.904.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.905.0.2',plain,
% 52.77/53.14 ( mult(ld(op_c,ld(op_d,mult(op_c,op_d))),mult(X1,op_d)) = mult(ld(mult(op_d,op_c),mult(op_c,ld(op_c,X1))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.905.0.1','0.815.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.905.0.3',plain,
% 52.77/53.14 ( ld(op_c,rd(mult(ld(op_d,mult(op_c,op_d)),X1),op_c)) = mult(ld(mult(op_d,op_c),mult(op_c,ld(op_c,X1))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.905.0.2','0.364.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.905.0.4',plain,
% 52.77/53.14 ( ld(op_c,rd(ld(op_d,mult(op_c,mult(op_d,X1))),op_c)) = mult(ld(mult(op_d,op_c),mult(op_c,ld(op_c,X1))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.905.0.3','0.289.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.905.0.5',plain,
% 52.77/53.14 ( ld(op_c,rd(ld(op_d,rd(rd(X1,op_d),op_c)),op_c)) = mult(ld(mult(op_d,op_c),mult(op_c,ld(op_c,X1))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.905.0.4','0.35.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1.2','L')]).
% 52.77/53.14 cnf('0.905.0.6',plain,
% 52.77/53.14 ( ld(op_c,rd(mult(ld(op_d,unit),X1),op_c)) = mult(ld(mult(op_d,op_c),mult(op_c,ld(op_c,X1))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.905.0.5','0.64.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.905.0.7',plain,
% 52.77/53.14 ( ld(op_c,rd(mult(ld(op_d,unit),X1),op_c)) = ld(op_c,ld(op_d,rd(mult(op_c,ld(op_c,X1)),op_c))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.905.0.6','0.325.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.905.0.8',plain,
% 52.77/53.14 ( ld(op_c,rd(mult(ld(op_d,unit),X1),op_c)) = ld(op_c,ld(op_d,ld(rd(op_c,op_c),rd(X1,op_c)))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.905.0.7','0.633.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.2','L')]).
% 52.77/53.14 cnf('0.905.0.9',plain,
% 52.77/53.14 ( ld(op_c,rd(mult(ld(op_d,unit),X1),op_c)) = ld(op_c,ld(op_d,ld(unit,rd(X1,op_c)))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.905.0.8','0.12.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.2.1','L')]).
% 52.77/53.14 cnf('0.905.0.10',plain,
% 52.77/53.14 ( ld(op_c,rd(mult(ld(op_d,unit),X1),op_c)) = ld(op_c,ld(op_d,rd(X1,op_c))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.905.0.9','0.10.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.2','L')]).
% 52.77/53.14 cnf('0.905.1.0',plain,
% 52.77/53.14 ( rd(mult(ld(op_d,unit),X1),op_c) = ld(op_d,rd(X1,op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.905.0.10']),
% 52.77/53.14 [weight('<103,904,239,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.905.2.0',plain,
% 52.77/53.14 ( rd(mult(ld(op_d,unit),X1),op_c) = ld(op_d,rd(X1,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.905.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_905]).
% 52.77/53.14 cnf('0.906.0.0',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),mult(op_c,ld(mult(op_d,op_c),X1))) = ld(mult(op_d,op_c),mult(rd(op_c,mult(op_d,op_c)),X1)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.904.2.0','0.263.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.906.0.1',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),mult(op_c,ld(mult(op_d,op_c),X1))) = ld(mult(op_d,op_c),mult(ld(op_d,unit),X1)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.906.0.0','0.440.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.1','L')]).
% 52.77/53.14 cnf('0.906.1.0',plain,
% 52.77/53.14 ( mult(op_c,ld(mult(op_d,op_c),X1)) = mult(ld(op_d,unit),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.906.0.1']),
% 52.77/53.14 [weight('<103,904,263,[1,0,0,0]>')]).
% 52.77/53.14 cnf('0.906.2.0',plain,
% 52.77/53.14 ( mult(op_c,ld(mult(op_d,op_c),X1)) = mult(ld(op_d,unit),X1) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.906.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_906]).
% 52.77/53.14 cnf('0.907.0.0',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),X1) = ld(op_c,mult(ld(op_d,unit),X1)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.6.2.0','0.906.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.907.1.0',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),X1) = ld(op_c,mult(ld(op_d,unit),X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.907.0.0']),
% 52.77/53.14 [weight('<103,906,6,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.907.2.0',plain,
% 52.77/53.14 ( ld(op_c,mult(ld(op_d,unit),X1)) = ld(mult(op_d,op_c),X1) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.907.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_907]).
% 52.77/53.14 cnf('0.908.0.0',plain,
% 52.77/53.14 ( mult(ld(op_d,unit),mult(X1,op_c)) = mult(op_c,ld(op_c,mult(ld(op_d,X1),op_c))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.906.2.0','0.167.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.908.0.1',plain,
% 52.77/53.14 ( ld(op_d,rd(X1,rd(unit,op_c))) = mult(op_c,ld(op_c,mult(ld(op_d,X1),op_c))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.908.0.0','0.283.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.908.0.2',plain,
% 52.77/53.14 ( ld(op_d,rd(X1,rd(unit,op_c))) = mult(ld(op_d,X1),op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.908.0.1','0.1.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.908.1.0',plain,
% 52.77/53.14 ( ld(op_d,rd(X1,rd(unit,op_c))) = mult(ld(op_d,X1),op_c) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.908.0.2']),
% 52.77/53.14 [weight('<103,906,167,[1,0,0,2]>')]).
% 52.77/53.14 cnf('0.908.2.0',plain,
% 52.77/53.14 ( ld(op_d,rd(X1,rd(unit,op_c))) = mult(ld(op_d,X1),op_c) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.908.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_908]).
% 52.77/53.14 cnf('0.910.0.0',plain,
% 52.77/53.14 ( rd(X1,rd(unit,op_c)) = mult(op_d,mult(ld(op_d,X1),op_c)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1.2.0','0.908.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.910.1.0',plain,
% 52.77/53.14 ( rd(X1,rd(unit,op_c)) = mult(op_d,mult(ld(op_d,X1),op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.910.0.0']),
% 52.77/53.14 [weight('<103,908,1,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.910.2.0',plain,
% 52.77/53.14 ( mult(op_d,mult(ld(op_d,X1),op_c)) = rd(X1,rd(unit,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.910.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_910]).
% 52.77/53.14 cnf('0.911.0.0',plain,
% 52.77/53.14 ( rd(mult(op_d,X1),rd(unit,op_c)) = mult(op_d,mult(X1,op_c)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.910.2.0','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.911.1.0',plain,
% 52.77/53.14 ( rd(mult(op_d,X1),rd(unit,op_c)) = mult(op_d,mult(X1,op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.911.0.0']),
% 52.77/53.14 [weight('<103,910,6,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.911.2.0',plain,
% 52.77/53.14 ( rd(mult(op_d,X1),rd(unit,op_c)) = mult(op_d,mult(X1,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.911.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_911]).
% 52.77/53.14 cnf('0.913.0.0',plain,
% 52.77/53.14 ( mult(op_d,mult(ld(rd(unit,op_c),mult(X1,rd(unit,op_c))),op_c)) = mult(rd(op_d,rd(unit,op_c)),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.911.2.0','0.295.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.913.0.1',plain,
% 52.77/53.14 ( mult(op_d,mult(op_c,ld(unit,mult(mult(X1,rd(unit,op_c)),op_c)))) = mult(rd(op_d,rd(unit,op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.913.0.0','0.317.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.913.0.2',plain,
% 52.77/53.14 ( mult(op_d,mult(op_c,mult(mult(X1,rd(unit,op_c)),op_c))) = mult(rd(op_d,rd(unit,op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.913.0.1','0.10.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.2','L')]).
% 52.77/53.14 cnf('0.913.0.3',plain,
% 52.77/53.14 ( mult(op_d,mult(op_c,mult(mult(X1,op_c),ld(op_c,unit)))) = mult(rd(op_d,rd(unit,op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.913.0.2','0.82.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.2','L')]).
% 52.77/53.14 cnf('0.913.0.4',plain,
% 52.77/53.14 ( mult(op_d,mult(op_c,ld(op_c,ld(rd(unit,op_c),X1)))) = mult(rd(op_d,rd(unit,op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.913.0.3','0.637.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.2','L')]).
% 52.77/53.14 cnf('0.913.0.5',plain,
% 52.77/53.14 ( mult(op_d,mult(op_c,ld(op_d,ld(op_c,X1)))) = mult(rd(op_d,rd(unit,op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.913.0.4','0.150.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.2','L')]).
% 52.77/53.14 cnf('0.913.0.6',plain,
% 52.77/53.14 ( mult(op_d,ld(rd(mult(op_c,op_d),op_c),X1)) = mult(rd(op_d,rd(unit,op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.913.0.5','0.785.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.913.0.7',plain,
% 52.77/53.14 ( mult(op_d,ld(rd(unit,op_c),X1)) = mult(rd(op_d,rd(unit,op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.913.0.6','0.9.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1.1','L')]).
% 52.77/53.14 cnf('0.913.0.8',plain,
% 52.77/53.14 ( mult(op_d,ld(rd(unit,op_c),X1)) = mult(mult(op_d,op_c),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.913.0.7','0.442.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1','L')]).
% 52.77/53.14 cnf('0.913.1.0',plain,
% 52.77/53.14 ( mult(op_d,ld(rd(unit,op_c),X1)) = mult(mult(op_d,op_c),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.913.0.8']),
% 52.77/53.14 [weight('<103,911,295,[1,0,0,0]>')]).
% 52.77/53.14 cnf('0.913.2.0',plain,
% 52.77/53.14 ( mult(op_d,ld(rd(unit,op_c),X1)) = mult(mult(op_d,op_c),X1) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.913.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_913]).
% 52.77/53.14 cnf('0.919.0.0',plain,
% 52.77/53.14 ( mult(ld(mult(op_d,op_c),op_c),mult(X1,ld(ld(mult(op_d,op_c),op_c),X2))) = mult(rd(ld(mult(op_d,op_c),mult(op_c,X1)),ld(mult(op_d,op_c),op_c)),X2) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.347.2.0','0.904.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.1','L')]).
% 52.77/53.14 cnf('0.919.0.1',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),mult(op_c,mult(X1,ld(ld(mult(op_d,op_c),op_c),X2)))) = mult(rd(ld(mult(op_d,op_c),mult(op_c,X1)),ld(mult(op_d,op_c),op_c)),X2) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.919.0.0','0.904.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.919.0.2',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),mult(op_c,mult(X1,ld(ld(mult(op_d,op_c),op_c),X2)))) = mult(ld(mult(op_d,op_c),mult(rd(mult(op_c,X1),op_c),mult(op_d,op_c))),X2) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.919.0.1','0.712.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1','L')]).
% 52.77/53.14 cnf('0.919.0.3',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),mult(op_c,mult(X1,ld(ld(mult(op_d,op_c),op_c),X2)))) = ld(mult(op_d,op_c),mult(rd(mult(op_c,X1),op_c),mult(mult(op_d,op_c),X2))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.919.0.2','0.289.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.919.0.4',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),mult(op_c,mult(X1,ld(ld(mult(op_d,op_c),op_c),X2)))) = ld(mult(op_d,op_c),mult(op_c,mult(X1,ld(op_c,mult(mult(op_d,op_c),X2))))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.919.0.3','0.347.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2','L')]).
% 52.77/53.14 cnf('0.919.1.0',plain,
% 52.77/53.14 ( ld(ld(mult(op_d,op_c),op_c),X2) = ld(op_c,mult(mult(op_d,op_c),X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.919.0.4']),
% 52.77/53.14 [weight('<119,904,347,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.919.2.0',plain,
% 52.77/53.14 ( ld(ld(mult(op_d,op_c),op_c),X1) = ld(op_c,mult(mult(op_d,op_c),X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.919.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_919]).
% 52.77/53.14 cnf('0.921.0.0',plain,
% 52.77/53.14 ( ld(mult(op_c,ld(mult(op_d,op_c),op_c)),mult(X1,op_c)) = rd(ld(op_c,mult(mult(op_d,op_c),ld(op_c,X1))),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.782.2.0','0.919.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.921.0.1',plain,
% 52.77/53.14 ( ld(mult(ld(op_d,unit),op_c),mult(X1,op_c)) = rd(ld(op_c,mult(mult(op_d,op_c),ld(op_c,X1))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.921.0.0','0.906.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.921.0.2',plain,
% 52.77/53.14 ( ld(op_c,mult(ld(ld(op_d,unit),X1),op_c)) = rd(ld(op_c,mult(mult(op_d,op_c),ld(op_c,X1))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.921.0.1','0.167.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.921.0.3',plain,
% 52.77/53.14 ( ld(op_c,mult(ld(ld(op_d,unit),X1),op_c)) = ld(op_c,mult(mult(mult(op_d,op_c),ld(op_c,X1)),op_c)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.921.0.2','0.37.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.921.1.0',plain,
% 52.77/53.14 ( ld(ld(op_d,unit),X1) = mult(mult(op_d,op_c),ld(op_c,X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.921.0.3']),
% 52.77/53.14 [weight('<103,919,782,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.921.2.0',plain,
% 52.77/53.14 ( mult(mult(op_d,op_c),ld(op_c,X1)) = ld(ld(op_d,unit),X1) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.921.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_921]).
% 52.77/53.14 cnf('0.924.0.0',plain,
% 52.77/53.14 ( mult(op_d,rd(X1,op_c)) = rd(ld(ld(op_d,unit),X1),op_c) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.302.2.0','0.921.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.924.1.0',plain,
% 52.77/53.14 ( mult(op_d,rd(X1,op_c)) = rd(ld(ld(op_d,unit),X1),op_c) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.924.0.0']),
% 52.77/53.14 [weight('<103,921,302,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.924.2.0',plain,
% 52.77/53.14 ( rd(ld(ld(op_d,unit),X1),op_c) = mult(op_d,rd(X1,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.924.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_924]).
% 52.77/53.14 cnf('0.925.0.0',plain,
% 52.77/53.14 ( mult(mult(op_d,X1),rd(unit,op_c)) = rd(ld(ld(op_d,unit),X1),op_c) ),
% 52.77/53.14 inference(interreduction_right,[status(thm)],['0.271.2.0'])).
% 52.77/53.14 cnf('0.925.0.1',plain,
% 52.77/53.14 ( mult(mult(op_d,X1),rd(unit,op_c)) = mult(op_d,rd(X1,op_c)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.925.0.0','0.924.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.925.1.0',plain,
% 52.77/53.14 ( mult(mult(op_d,X1),rd(unit,op_c)) = mult(op_d,rd(X1,op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.925.0.1']),
% 52.77/53.14 [weight('<103,271,924,[0,0,0,0]>')]).
% 52.77/53.14 cnf('0.925.2.0',plain,
% 52.77/53.14 ( mult(mult(op_d,X1),rd(unit,op_c)) = mult(op_d,rd(X1,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.925.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_925]).
% 52.77/53.14 cnf('0.930.0.0',plain,
% 52.77/53.14 ( ld(op_d,rd(ld(op_c,mult(X1,op_c)),op_c)) = mult(rd(ld(op_d,unit),op_c),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.905.2.0','0.295.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.930.0.1',plain,
% 52.77/53.14 ( ld(op_d,mult(rd(unit,op_c),X1)) = mult(rd(ld(op_d,unit),op_c),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.930.0.0','0.296.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.930.0.2',plain,
% 52.77/53.14 ( ld(op_d,mult(rd(unit,op_c),X1)) = mult(ld(op_d,rd(unit,op_c)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.930.0.1','0.476.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1','L')]).
% 52.77/53.14 cnf('0.930.1.0',plain,
% 52.77/53.14 ( ld(op_d,mult(rd(unit,op_c),X1)) = mult(ld(op_d,rd(unit,op_c)),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.930.0.2']),
% 52.77/53.14 [weight('<119,905,295,[1,0,0,0]>')]).
% 52.77/53.14 cnf('0.930.2.0',plain,
% 52.77/53.14 ( mult(ld(op_d,rd(unit,op_c)),X1) = ld(op_d,mult(rd(unit,op_c),X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.930.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_930]).
% 52.77/53.14 cnf('0.931.0.0',plain,
% 52.77/53.14 ( mult(ld(op_c,ld(op_d,unit)),X1) = ld(op_c,ld(op_d,rd(rd(X1,op_d),op_c))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.368.2.0','0.905.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.931.0.1',plain,
% 52.77/53.14 ( mult(ld(op_c,ld(op_d,unit)),X1) = ld(op_c,mult(ld(op_d,unit),X1)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.931.0.0','0.64.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2','L')]).
% 52.77/53.14 cnf('0.931.1.0',plain,
% 52.77/53.14 ( mult(ld(op_c,ld(op_d,unit)),X1) = ld(op_c,mult(ld(op_d,unit),X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.931.0.1']),
% 52.77/53.14 [weight('<119,905,368,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.931.1.1',plain,
% 52.77/53.14 ( mult(ld(op_c,ld(op_d,unit)),X1) = ld(mult(op_d,op_c),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.931.1.0','0.907.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.931.2.0',plain,
% 52.77/53.14 ( mult(ld(op_c,ld(op_d,unit)),X1) = ld(mult(op_d,op_c),X1) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.931.1.1',theory(equality)]),
% 52.77/53.14 [u,rule_931]).
% 52.77/53.14 cnf('0.932.0.0',plain,
% 52.77/53.14 ( ld(op_c,ld(op_d,unit)) = rd(ld(mult(op_d,op_c),X1),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.5.2.0','0.931.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.932.1.0',plain,
% 52.77/53.14 ( ld(op_c,ld(op_d,unit)) = rd(ld(mult(op_d,op_c),X1),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.932.0.0']),
% 52.77/53.14 [weight('<103,931,5,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.932.2.0',plain,
% 52.77/53.14 ( rd(ld(mult(op_d,op_c),X1),X1) = ld(op_c,ld(op_d,unit)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.932.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_932]).
% 52.77/53.14 cnf('0.933.0.0',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),mult(op_d,X1)) = mult(op_d,mult(mult(ld(op_d,unit),op_d),X1)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.931.2.0','0.362.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.933.0.1',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),mult(op_d,X1)) = mult(op_d,mult(ld(op_d,rd(unit,op_c)),X1)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.933.0.0','0.61.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.1','L')]).
% 52.77/53.14 cnf('0.933.0.2',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),mult(op_d,X1)) = mult(op_d,ld(op_d,mult(rd(unit,op_c),X1))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.933.0.1','0.930.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2','L')]).
% 52.77/53.14 cnf('0.933.0.3',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),mult(op_d,X1)) = mult(rd(unit,op_c),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.933.0.2','0.1.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.933.1.0',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),mult(op_d,X1)) = mult(rd(unit,op_c),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.933.0.3']),
% 52.77/53.14 [weight('<103,931,362,[1,0,0,0]>')]).
% 52.77/53.14 cnf('0.933.2.0',plain,
% 52.77/53.14 ( ld(mult(op_d,op_c),mult(op_d,X1)) = mult(rd(unit,op_c),X1) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.933.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_933]).
% 52.77/53.14 cnf('0.934.0.0',plain,
% 52.77/53.14 ( ld(op_c,ld(op_d,unit)) = rd(X1,mult(mult(op_d,op_c),X1)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.932.2.0','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.934.1.0',plain,
% 52.77/53.14 ( ld(op_c,ld(op_d,unit)) = rd(X1,mult(mult(op_d,op_c),X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.934.0.0']),
% 52.77/53.14 [weight('<103,932,6,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.934.2.0',plain,
% 52.77/53.14 ( rd(X1,mult(mult(op_d,op_c),X1)) = ld(op_c,ld(op_d,unit)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.934.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_934]).
% 52.77/53.14 cnf('0.937.0.0',plain,
% 52.77/53.14 ( rd(X1,rd(mult(mult(op_d,op_c),ld(X1,unit)),ld(X1,unit))) = mult(X1,ld(op_c,ld(op_d,unit))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.751.2.0','0.934.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.937.0.1',plain,
% 52.77/53.14 ( rd(X1,mult(op_d,op_c)) = mult(X1,ld(op_c,ld(op_d,unit))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.937.0.0','0.5.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.937.1.0',plain,
% 52.77/53.14 ( rd(X1,mult(op_d,op_c)) = mult(X1,ld(op_c,ld(op_d,unit))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.937.0.1']),
% 52.77/53.14 [weight('<103,934,751,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.937.2.0',plain,
% 52.77/53.14 ( mult(X1,ld(op_c,ld(op_d,unit))) = rd(X1,mult(op_d,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.937.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_937]).
% 52.77/53.14 cnf('0.939.0.0',plain,
% 52.77/53.14 ( ld(op_c,ld(op_d,unit)) = ld(X1,rd(X1,mult(op_d,op_c))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.6.2.0','0.937.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.939.1.0',plain,
% 52.77/53.14 ( ld(op_c,ld(op_d,unit)) = ld(X1,rd(X1,mult(op_d,op_c))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.939.0.0']),
% 52.77/53.14 [weight('<103,937,6,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.939.2.0',plain,
% 52.77/53.14 ( ld(X1,rd(X1,mult(op_d,op_c))) = ld(op_c,ld(op_d,unit)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.939.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_939]).
% 52.77/53.14 cnf('0.968.0.0',plain,
% 52.77/53.14 ( mult(op_d,rd(mult(X1,ld(op_d,unit)),op_c)) = mult(rd(mult(op_d,X1),op_d),rd(unit,op_c)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.925.2.0','0.346.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.968.0.1',plain,
% 52.77/53.14 ( mult(op_d,rd(mult(X1,ld(op_d,unit)),op_c)) = mult(op_d,mult(X1,ld(op_d,rd(unit,op_c)))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.968.0.0','0.347.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.968.1.0',plain,
% 52.77/53.14 ( rd(mult(X1,ld(op_d,unit)),op_c) = mult(X1,ld(op_d,rd(unit,op_c))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.968.0.1']),
% 52.77/53.14 [weight('<119,925,346,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.968.2.0',plain,
% 52.77/53.14 ( mult(X1,ld(op_d,rd(unit,op_c))) = rd(mult(X1,ld(op_d,unit)),op_c) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.968.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_968]).
% 52.77/53.14 cnf('0.969.0.0',plain,
% 52.77/53.14 ( mult(X1,rd(rd(unit,op_c),op_d)) = rd(rd(mult(mult(X1,op_d),ld(op_d,unit)),op_c),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.302.2.0','0.968.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.969.0.1',plain,
% 52.77/53.14 ( mult(X1,ld(op_c,ld(op_d,unit))) = rd(rd(mult(mult(X1,op_d),ld(op_d,unit)),op_c),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.969.0.0','0.62.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.969.0.2',plain,
% 52.77/53.14 ( rd(X1,mult(op_d,op_c)) = rd(rd(mult(mult(X1,op_d),ld(op_d,unit)),op_c),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.969.0.1','0.937.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.969.0.3',plain,
% 52.77/53.14 ( rd(X1,mult(op_d,op_c)) = rd(rd(ld(op_d,mult(ld(op_c,X1),unit)),op_c),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.969.0.2','0.264.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1.1','L')]).
% 52.77/53.14 cnf('0.969.0.4',plain,
% 52.77/53.14 ( rd(X1,mult(op_d,op_c)) = rd(rd(ld(op_d,ld(op_c,X1)),op_c),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.969.0.3','0.2.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1.1.2','L')]).
% 52.77/53.14 cnf('0.969.0.5',plain,
% 52.77/53.14 ( rd(X1,mult(op_d,op_c)) = rd(mult(X1,rd(unit,op_c)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.969.0.4','0.267.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1','L')]).
% 52.77/53.14 cnf('0.969.1.0',plain,
% 52.77/53.14 ( rd(X1,mult(op_d,op_c)) = rd(mult(X1,rd(unit,op_c)),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.969.0.5']),
% 52.77/53.14 [weight('<103,968,302,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.969.2.0',plain,
% 52.77/53.14 ( rd(mult(X1,rd(unit,op_c)),op_d) = rd(X1,mult(op_d,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.969.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_969]).
% 52.77/53.14 cnf('0.993.0.0',plain,
% 52.77/53.14 ( rd(mult(mult(X1,op_d),rd(unit,op_c)),op_d) = mult(X1,rd(op_d,mult(op_d,op_c))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.303.2.0','0.969.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.993.0.1',plain,
% 52.77/53.14 ( rd(mult(X1,op_d),mult(op_d,op_c)) = mult(X1,rd(op_d,mult(op_d,op_c))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.993.0.0','0.969.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.993.1.0',plain,
% 52.77/53.14 ( rd(mult(X1,op_d),mult(op_d,op_c)) = mult(X1,rd(op_d,mult(op_d,op_c))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.993.0.1']),
% 52.77/53.14 [weight('<119,969,303,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.993.2.0',plain,
% 52.77/53.14 ( mult(X1,rd(op_d,mult(op_d,op_c))) = rd(mult(X1,op_d),mult(op_d,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.993.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_993]).
% 52.77/53.14 cnf('0.996.0.0',plain,
% 52.77/53.14 ( rd(mult(op_d,X1),mult(op_d,op_c)) = rd(mult(op_d,rd(X1,op_c)),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.969.2.0','0.925.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.996.0.1',plain,
% 52.77/53.14 ( rd(mult(op_d,X1),mult(op_d,op_c)) = ld(op_c,rd(rd(X1,op_c),op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.996.0.0','0.39.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.996.1.0',plain,
% 52.77/53.14 ( rd(mult(op_d,X1),mult(op_d,op_c)) = ld(op_c,rd(rd(X1,op_c),op_d)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.996.0.1']),
% 52.77/53.14 [weight('<119,969,925,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.996.2.0',plain,
% 52.77/53.14 ( rd(mult(op_d,X1),mult(op_d,op_c)) = ld(op_c,rd(rd(X1,op_c),op_d)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.996.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_996]).
% 52.77/53.14 cnf('0.1011.0.0',plain,
% 52.77/53.14 ( rd(mult(ld(op_c,rd(X1,op_d)),op_d),mult(op_d,op_c)) = mult(op_d,mult(X1,ld(op_d,rd(op_d,mult(op_d,op_c))))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.993.2.0','0.291.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.1011.0.1',plain,
% 52.77/53.14 ( rd(mult(op_d,mult(X1,ld(op_d,op_d))),mult(op_d,op_c)) = mult(op_d,mult(X1,ld(op_d,rd(op_d,mult(op_d,op_c))))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1011.0.0','0.291.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.1011.0.2',plain,
% 52.77/53.14 ( rd(mult(op_d,mult(X1,unit)),mult(op_d,op_c)) = mult(op_d,mult(X1,ld(op_d,rd(op_d,mult(op_d,op_c))))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1011.0.1','0.13.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2.2','L')]).
% 52.77/53.14 cnf('0.1011.0.3',plain,
% 52.77/53.14 ( rd(mult(op_d,X1),mult(op_d,op_c)) = mult(op_d,mult(X1,ld(op_d,rd(op_d,mult(op_d,op_c))))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1011.0.2','0.2.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.1011.0.4',plain,
% 52.77/53.14 ( rd(mult(op_d,X1),mult(op_d,op_c)) = mult(op_d,mult(X1,ld(op_c,ld(op_d,unit)))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1011.0.3','0.939.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2.2','L')]).
% 52.77/53.14 cnf('0.1011.0.5',plain,
% 52.77/53.14 ( rd(mult(op_d,X1),mult(op_d,op_c)) = mult(op_d,rd(X1,mult(op_d,op_c))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1011.0.4','0.937.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2','L')]).
% 52.77/53.14 cnf('0.1011.1.0',plain,
% 52.77/53.14 ( rd(mult(op_d,X1),mult(op_d,op_c)) = mult(op_d,rd(X1,mult(op_d,op_c))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1011.0.5']),
% 52.77/53.14 [weight('<119,993,291,[1,0,0,0]>')]).
% 52.77/53.14 cnf('0.1011.1.1',plain,
% 52.77/53.14 ( ld(op_c,rd(rd(X1,op_c),op_d)) = mult(op_d,rd(X1,mult(op_d,op_c))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1011.1.0','0.996.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.1011.2.0',plain,
% 52.77/53.14 ( mult(op_d,rd(X1,mult(op_d,op_c))) = ld(op_c,rd(rd(X1,op_c),op_d)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1011.1.1',theory(equality)]),
% 52.77/53.14 [x,rule_1011]).
% 52.77/53.14 cnf('0.1051.0.0',plain,
% 52.77/53.14 ( mult(op_d,op_c) = rd(mult(op_d,X1),mult(rd(unit,op_c),X1)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.16.2.0','0.933.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.1051.1.0',plain,
% 52.77/53.14 ( mult(op_d,op_c) = rd(mult(op_d,X1),mult(rd(unit,op_c),X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1051.0.0']),
% 52.77/53.14 [weight('<129,933,16,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.1051.2.0',plain,
% 52.77/53.14 ( rd(mult(op_d,X1),mult(rd(unit,op_c),X1)) = mult(op_d,op_c) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1051.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_1051]).
% 52.77/53.14 cnf('0.1076.0.0',plain,
% 52.77/53.14 ( rd(mult(X1,rd(X2,ld(X1,X3))),X1) = rd(mult(X1,X2),X3) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.686.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.1076.1.0',plain,
% 52.77/53.14 ( rd(mult(X1,rd(X2,ld(X1,X3))),X1) = rd(mult(X1,X2),X3) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1076.0.0']),
% 52.77/53.14 [weight('<149,686,4,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.1076.2.0',plain,
% 52.77/53.14 ( rd(mult(X1,rd(X2,ld(X1,X3))),X1) = rd(mult(X1,X2),X3) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1076.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_1076]).
% 52.77/53.14 cnf('0.1078.0.0',plain,
% 52.77/53.14 ( rd(mult(X1,X2),mult(X1,X3)) = rd(mult(X1,rd(X2,X3)),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1076.2.0','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2.2','L')]).
% 52.77/53.14 cnf('0.1078.1.0',plain,
% 52.77/53.14 ( rd(mult(X1,X2),mult(X1,X3)) = rd(mult(X1,rd(X2,X3)),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1078.0.0']),
% 52.77/53.14 [weight('<119,1076,6,[1,0,0,5]>')]).
% 52.77/53.14 cnf('0.1078.2.0',plain,
% 52.77/53.14 ( rd(mult(X1,rd(X2,X3)),X1) = rd(mult(X1,X2),mult(X1,X3)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1078.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_1078]).
% 52.77/53.14 cnf('0.1132.0.0',plain,
% 52.77/53.14 ( mult(rd(X1,rd(mult(X1,X2),X1)),X1) = mult(X1,rd(unit,mult(X2,ld(X1,unit)))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.717.2.0','0.345.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.2','L')]).
% 52.77/53.14 cnf('0.1132.0.1',plain,
% 52.77/53.14 ( rd(mult(X1,X1),ld(X1,mult(X1,X2))) = mult(X1,rd(unit,mult(X2,ld(X1,unit)))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1132.0.0','0.605.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.1132.0.2',plain,
% 52.77/53.14 ( rd(mult(X1,X1),X2) = mult(X1,rd(unit,mult(X2,ld(X1,unit)))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1132.0.1','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.1132.1.0',plain,
% 52.77/53.14 ( rd(mult(X1,X1),X2) = mult(X1,rd(unit,mult(X2,ld(X1,unit)))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1132.0.2']),
% 52.77/53.14 [weight('<149,717,345,[1,0,0,4]>')]).
% 52.77/53.14 cnf('0.1132.2.0',plain,
% 52.77/53.14 ( mult(X1,rd(unit,mult(X2,ld(X1,unit)))) = rd(mult(X1,X1),X2) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1132.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_1132]).
% 52.77/53.14 cnf('0.1149.0.0',plain,
% 52.77/53.14 ( ld(rd(mult(X1,X2),X2),rd(unit,X2)) = rd(ld(ld(rd(unit,X2),X1),X2),X2) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.633.2.0','0.737.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.1149.0.1',plain,
% 52.77/53.14 ( ld(X1,rd(unit,X2)) = rd(ld(ld(rd(unit,X2),X1),X2),X2) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1149.0.0','0.5.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.1149.1.0',plain,
% 52.77/53.14 ( ld(X1,rd(unit,X2)) = rd(ld(ld(rd(unit,X2),X1),X2),X2) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1149.0.1']),
% 52.77/53.14 [weight('<149,737,633,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.1149.2.0',plain,
% 52.77/53.14 ( rd(ld(ld(rd(unit,X1),X2),X1),X1) = ld(X2,rd(unit,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1149.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_1149]).
% 52.77/53.14 cnf('0.1174.0.0',plain,
% 52.77/53.14 ( rd(X1,mult(X2,op_d)) = ld(op_c,rd(rd(ld(op_d,X1),op_d),X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.6.2.0','0.777.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.1174.1.0',plain,
% 52.77/53.14 ( rd(X1,mult(X2,op_d)) = ld(op_c,rd(rd(ld(op_d,X1),op_d),X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1174.0.0']),
% 52.77/53.14 [weight('<149,777,6,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.1174.2.0',plain,
% 52.77/53.14 ( ld(op_c,rd(rd(ld(op_d,X1),op_d),X2)) = rd(X1,mult(X2,op_d)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1174.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_1174]).
% 52.77/53.14 cnf('0.1201.0.0',plain,
% 52.77/53.14 ( rd(rd(X1,X2),rd(mult(X2,X3),X2)) = rd(rd(X1,X3),X2) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.870.2.0','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.1201.1.0',plain,
% 52.77/53.14 ( rd(rd(X1,X2),rd(mult(X2,X3),X2)) = rd(rd(X1,X3),X2) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1201.0.0']),
% 52.77/53.14 [weight('<149,870,6,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.1201.2.0',plain,
% 52.77/53.14 ( rd(rd(X1,X2),rd(mult(X2,X3),X2)) = rd(rd(X1,X3),X2) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1201.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_1201]).
% 52.77/53.14 cnf('0.1202.0.0',plain,
% 52.77/53.14 ( rd(rd(mult(X1,X2),X3),X2) = rd(X1,rd(mult(X2,X3),X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1201.2.0','0.5.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.1202.1.0',plain,
% 52.77/53.14 ( rd(rd(mult(X1,X2),X3),X2) = rd(X1,rd(mult(X2,X3),X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1202.0.0']),
% 52.77/53.14 [weight('<119,1201,5,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.1202.2.0',plain,
% 52.77/53.14 ( rd(rd(mult(X1,X2),X3),X2) = rd(X1,rd(mult(X2,X3),X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1202.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_1202]).
% 52.77/53.14 cnf('0.1224.0.0',plain,
% 52.77/53.14 ( rd(X1,mult(ld(rd(X2,rd(unit,X1)),rd(unit,X1)),X1)) = mult(rd(unit,ld(ld(rd(unit,X1),X2),unit)),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.887.2.0','0.724.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.1224.0.1',plain,
% 52.77/53.14 ( rd(X1,mult(X1,ld(mult(rd(X2,rd(unit,X1)),X1),unit))) = mult(rd(unit,ld(ld(rd(unit,X1),X2),unit)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1224.0.0','0.323.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.1224.0.2',plain,
% 52.77/53.14 ( rd(X1,ld(ld(rd(unit,X1),rd(X2,rd(unit,X1))),X1)) = mult(rd(unit,ld(ld(rd(unit,X1),X2),unit)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1224.0.1','0.737.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.1224.0.3',plain,
% 52.77/53.14 ( ld(rd(unit,X1),rd(X2,rd(unit,X1))) = mult(rd(unit,ld(ld(rd(unit,X1),X2),unit)),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1224.0.2','0.16.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.1224.0.4',plain,
% 52.77/53.14 ( ld(rd(unit,X1),rd(X2,rd(unit,X1))) = mult(ld(rd(unit,X1),X2),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1224.0.3','0.16.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1','L')]).
% 52.77/53.14 cnf('0.1224.0.5',plain,
% 52.77/53.14 ( ld(rd(unit,X1),rd(X2,rd(unit,X1))) = mult(X1,ld(unit,mult(X2,X1))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1224.0.4','0.317.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.1224.0.6',plain,
% 52.77/53.14 ( ld(rd(unit,X1),rd(X2,rd(unit,X1))) = mult(X1,mult(X2,X1)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1224.0.5','0.10.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2','L')]).
% 52.77/53.14 cnf('0.1224.1.0',plain,
% 52.77/53.14 ( ld(rd(unit,X1),rd(X2,rd(unit,X1))) = mult(X1,mult(X2,X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1224.0.6']),
% 52.77/53.14 [weight('<149,887,724,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.1224.2.0',plain,
% 52.77/53.14 ( ld(rd(unit,X1),rd(X2,rd(unit,X1))) = mult(X1,mult(X2,X1)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1224.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_1224]).
% 52.77/53.14 cnf('0.1337.0.0',plain,
% 52.77/53.14 ( rd(mult(X1,X2),mult(X1,ld(X3,X2))) = rd(mult(X1,X3),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1078.2.0','0.16.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.1337.1.0',plain,
% 52.77/53.14 ( rd(mult(X1,X2),mult(X1,ld(X3,X2))) = rd(mult(X1,X3),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1337.0.0']),
% 52.77/53.14 [weight('<149,1078,16,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.1337.2.0',plain,
% 52.77/53.14 ( rd(mult(X1,X2),mult(X1,ld(X3,X2))) = rd(mult(X1,X3),X1) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1337.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_1337]).
% 52.77/53.14 cnf('0.1409.0.0',plain,
% 52.77/53.14 ( rd(mult(X1,X1),rd(X2,ld(X1,unit))) = mult(X1,rd(unit,X2)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1132.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.2','L')]).
% 52.77/53.14 cnf('0.1409.1.0',plain,
% 52.77/53.14 ( rd(mult(X1,X1),rd(X2,ld(X1,unit))) = mult(X1,rd(unit,X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1409.0.0']),
% 52.77/53.14 [weight('<149,1132,4,[1,0,0,4]>')]).
% 52.77/53.14 cnf('0.1409.2.0',plain,
% 52.77/53.14 ( rd(mult(X1,X1),rd(X2,ld(X1,unit))) = mult(X1,rd(unit,X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1409.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_1409]).
% 52.77/53.14 cnf('0.1439.0.0',plain,
% 52.77/53.14 ( rd(op_d,rd(mult(X1,mult(rd(unit,op_c),X1)),X1)) = rd(mult(op_d,op_c),X1) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1202.2.0','0.1051.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.1439.0.1',plain,
% 52.77/53.14 ( rd(op_d,ld(rd(unit,X1),rd(unit,op_c))) = rd(mult(op_d,op_c),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1439.0.0','0.631.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.1439.1.0',plain,
% 52.77/53.14 ( rd(op_d,ld(rd(unit,X1),rd(unit,op_c))) = rd(mult(op_d,op_c),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1439.0.1']),
% 52.77/53.14 [weight('<149,1202,1051,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.1439.2.0',plain,
% 52.77/53.14 ( rd(op_d,ld(rd(unit,X1),rd(unit,op_c))) = rd(mult(op_d,op_c),X1) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1439.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_1439]).
% 52.77/53.14 cnf('0.1440.0.0',plain,
% 52.77/53.14 ( rd(mult(op_d,op_c),ld(X1,unit)) = rd(op_d,ld(X1,rd(unit,op_c))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1439.2.0','0.16.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.1440.1.0',plain,
% 52.77/53.14 ( rd(mult(op_d,op_c),ld(X1,unit)) = rd(op_d,ld(X1,rd(unit,op_c))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1440.0.0']),
% 52.77/53.14 [weight('<119,1439,16,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.1440.2.0',plain,
% 52.77/53.14 ( rd(mult(op_d,op_c),ld(X1,unit)) = rd(op_d,ld(X1,rd(unit,op_c))) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1440.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_1440]).
% 52.77/53.14 cnf('0.1504.0.0',plain,
% 52.77/53.14 ( mult(X1,ld(X2,X3)) = ld(rd(mult(X1,X2),X1),mult(X1,X3)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.17.2.0','0.1337.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.1504.1.0',plain,
% 52.77/53.14 ( mult(X1,ld(X2,X3)) = ld(rd(mult(X1,X2),X1),mult(X1,X3)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1504.0.0']),
% 52.77/53.14 [weight('<149,1337,17,[0,0,0,1]>')]).
% 52.77/53.14 cnf('0.1504.2.0',plain,
% 52.77/53.14 ( ld(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,ld(X2,X3)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1504.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_1504]).
% 52.77/53.14 cnf('0.1505.0.0',plain,
% 52.77/53.14 ( mult(X1,ld(ld(X1,X2),X3)) = ld(rd(X2,X1),mult(X1,X3)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1504.2.0','0.1.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.1','L')]).
% 52.77/53.14 cnf('0.1505.1.0',plain,
% 52.77/53.14 ( mult(X1,ld(ld(X1,X2),X3)) = ld(rd(X2,X1),mult(X1,X3)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1505.0.0']),
% 52.77/53.14 [weight('<119,1504,1,[1,0,0,2]>')]).
% 52.77/53.14 cnf('0.1505.2.0',plain,
% 52.77/53.14 ( mult(X1,ld(ld(X1,X2),X3)) = ld(rd(X2,X1),mult(X1,X3)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1505.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_1505]).
% 52.77/53.14 cnf('0.1506.0.0',plain,
% 52.77/53.14 ( rd(mult(X1,mult(X2,X1)),X1) = rd(mult(X1,X1),mult(ld(X2,unit),X1)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1337.2.0','0.170.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.1506.0.1',plain,
% 52.77/53.14 ( ld(rd(unit,X1),X2) = rd(mult(X1,X1),mult(ld(X2,unit),X1)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1506.0.0','0.631.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.1506.1.0',plain,
% 52.77/53.14 ( ld(rd(unit,X1),X2) = rd(mult(X1,X1),mult(ld(X2,unit),X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1506.0.1']),
% 52.77/53.14 [weight('<149,1337,170,[1,0,0,4]>')]).
% 52.77/53.14 cnf('0.1506.2.0',plain,
% 52.77/53.14 ( rd(mult(X1,X1),mult(ld(X2,unit),X1)) = ld(rd(unit,X1),X2) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1506.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_1506]).
% 52.77/53.14 cnf('0.1507.0.0',plain,
% 52.77/53.14 ( ld(rd(unit,X1),rd(unit,X2)) = rd(mult(X1,X1),mult(X2,X1)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1506.2.0','0.17.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.1507.1.0',plain,
% 52.77/53.14 ( ld(rd(unit,X1),rd(unit,X2)) = rd(mult(X1,X1),mult(X2,X1)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1507.0.0']),
% 52.77/53.14 [weight('<119,1506,17,[1,0,0,5]>')]).
% 52.77/53.14 cnf('0.1507.2.0',plain,
% 52.77/53.14 ( rd(mult(X1,X1),mult(X2,X1)) = ld(rd(unit,X1),rd(unit,X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1507.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_1507]).
% 52.77/53.14 cnf('0.1599.0.0',plain,
% 52.77/53.14 ( ld(ld(X1,X2),X3) = ld(X1,ld(rd(X2,X1),mult(X1,X3))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.6.2.0','0.1505.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.1599.1.0',plain,
% 52.77/53.14 ( ld(ld(X1,X2),X3) = ld(X1,ld(rd(X2,X1),mult(X1,X3))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1599.0.0']),
% 52.77/53.14 [weight('<149,1505,6,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.1599.2.0',plain,
% 52.77/53.14 ( ld(X1,ld(rd(X2,X1),mult(X1,X3))) = ld(ld(X1,X2),X3) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1599.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_1599]).
% 52.77/53.14 cnf('0.1600.0.0',plain,
% 52.77/53.14 ( ld(ld(X1,mult(X2,X1)),X3) = ld(X1,ld(X2,mult(X1,X3))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1599.2.0','0.5.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.1600.1.0',plain,
% 52.77/53.14 ( ld(ld(X1,mult(X2,X1)),X3) = ld(X1,ld(X2,mult(X1,X3))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1600.0.0']),
% 52.77/53.14 [weight('<119,1599,5,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.1600.2.0',plain,
% 52.77/53.14 ( ld(ld(X1,mult(X2,X1)),X3) = ld(X1,ld(X2,mult(X1,X3))) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1600.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_1600]).
% 52.77/53.14 cnf('0.1917.0.0',plain,
% 52.77/53.14 ( ld(X1,mult(rd(mult(ld(X2,unit),X1),X1),X3)) = mult(ld(mult(X2,X1),X1),ld(X1,X3)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.263.2.0','0.168.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.1917.0.1',plain,
% 52.77/53.14 ( ld(X1,mult(ld(X2,unit),X3)) = mult(ld(mult(X2,X1),X1),ld(X1,X3)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1917.0.0','0.5.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.1917.1.0',plain,
% 52.77/53.14 ( ld(X1,mult(ld(X2,unit),X3)) = mult(ld(mult(X2,X1),X1),ld(X1,X3)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1917.0.1']),
% 52.77/53.14 [weight('<169,263,168,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.1917.2.0',plain,
% 52.77/53.14 ( mult(ld(mult(X1,X2),X2),ld(X2,X3)) = ld(X2,mult(ld(X1,unit),X3)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1917.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_1917]).
% 52.77/53.14 cnf('0.1948.0.0',plain,
% 52.77/53.14 ( rd(rd(ld(op_c,rd(X1,op_d)),op_d),op_c) = mult(op_c,rd(mult(mult(op_d,op_d),X1),op_d)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.35.2.0','0.304.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.1948.0.1',plain,
% 52.77/53.14 ( rd(ld(op_c,mult(rd(X1,op_d),op_c)),op_c) = mult(op_c,rd(mult(mult(op_d,op_d),X1),op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1948.0.0','0.37.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.1948.0.2',plain,
% 52.77/53.14 ( mult(rd(unit,op_c),rd(X1,op_d)) = mult(op_c,rd(mult(mult(op_d,op_d),X1),op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1948.0.1','0.296.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.1948.0.3',plain,
% 52.77/53.14 ( mult(rd(unit,op_c),rd(X1,op_d)) = rd(ld(op_d,mult(mult(op_d,op_d),X1)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1948.0.2','0.31.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.1948.1.0',plain,
% 52.77/53.14 ( mult(rd(unit,op_c),rd(X1,op_d)) = rd(ld(op_d,mult(mult(op_d,op_d),X1)),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1948.0.3']),
% 52.77/53.14 [weight('<169,304,35,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.1948.2.0',plain,
% 52.77/53.14 ( rd(ld(op_d,mult(mult(op_d,op_d),X1)),op_d) = mult(rd(unit,op_c),rd(X1,op_d)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1948.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_1948]).
% 52.77/53.14 cnf('0.1949.0.0',plain,
% 52.77/53.14 ( mult(rd(unit,op_c),rd(ld(mult(X1,mult(op_d,op_d)),mult(op_d,op_d)),op_d)) = rd(ld(op_d,mult(ld(X1,unit),mult(op_d,op_d))),op_d) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1948.2.0','0.170.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.1949.0.1',plain,
% 52.77/53.14 ( mult(rd(unit,op_c),ld(mult(op_c,mult(X1,mult(op_d,op_d))),rd(op_d,op_d))) = rd(ld(op_d,mult(ld(X1,unit),mult(op_d,op_d))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1949.0.0','0.649.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.1949.0.2',plain,
% 52.77/53.14 ( mult(rd(unit,op_c),ld(rd(mult(mult(op_c,X1),op_d),op_c),rd(op_d,op_d))) = rd(ld(op_d,mult(ld(X1,unit),mult(op_d,op_d))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1949.0.1','0.301.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1','L')]).
% 52.77/53.14 cnf('0.1949.0.3',plain,
% 52.77/53.14 ( mult(rd(unit,op_c),ld(rd(ld(op_d,mult(X1,op_d)),op_c),rd(op_d,op_d))) = rd(ld(op_d,mult(ld(X1,unit),mult(op_d,op_d))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1949.0.2','0.19.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1.1','L')]).
% 52.77/53.14 cnf('0.1949.0.4',plain,
% 52.77/53.14 ( mult(rd(unit,op_c),ld(rd(ld(op_d,mult(X1,op_d)),op_c),unit)) = rd(ld(op_d,mult(ld(X1,unit),mult(op_d,op_d))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1949.0.3','0.12.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.2','L')]).
% 52.77/53.14 cnf('0.1949.0.5',plain,
% 52.77/53.14 ( rd(ld(mult(rd(ld(op_d,mult(X1,op_d)),op_c),op_c),op_c),op_c) = rd(ld(op_d,mult(ld(X1,unit),mult(op_d,op_d))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1949.0.4','0.218.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.1949.0.6',plain,
% 52.77/53.14 ( rd(ld(ld(op_d,mult(X1,op_d)),op_c),op_c) = rd(ld(op_d,mult(ld(X1,unit),mult(op_d,op_d))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1949.0.5','0.4.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.1','L')]).
% 52.77/53.14 cnf('0.1949.0.7',plain,
% 52.77/53.14 ( rd(ld(op_d,ld(X1,mult(op_d,op_c))),op_c) = rd(ld(op_d,mult(ld(X1,unit),mult(op_d,op_d))),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1949.0.6','0.1600.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.1949.0.8',plain,
% 52.77/53.14 ( rd(ld(op_d,ld(X1,mult(op_d,op_c))),op_c) = mult(mult(op_c,ld(X1,unit)),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1949.0.7','0.372.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.1949.0.9',plain,
% 52.77/53.14 ( rd(ld(op_d,ld(X1,mult(op_d,op_c))),op_c) = ld(op_d,mult(ld(X1,unit),op_d)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1949.0.8','0.19.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.1949.0.10',plain,
% 52.77/53.14 ( rd(ld(op_d,ld(X1,mult(op_d,op_c))),op_c) = ld(mult(X1,op_d),op_d) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1949.0.9','0.168.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.1949.1.0',plain,
% 52.77/53.14 ( rd(ld(op_d,ld(X1,mult(op_d,op_c))),op_c) = ld(mult(X1,op_d),op_d) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1949.0.10']),
% 52.77/53.14 [weight('<149,1948,170,[1,0,0,3]>')]).
% 52.77/53.14 cnf('0.1949.2.0',plain,
% 52.77/53.14 ( rd(ld(op_d,ld(X1,mult(op_d,op_c))),op_c) = ld(mult(X1,op_d),op_d) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1949.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_1949]).
% 52.77/53.14 cnf('0.1950.0.0',plain,
% 52.77/53.14 ( ld(mult(ld(op_c,rd(X1,op_d)),op_d),op_d) = rd(ld(X1,ld(op_d,mult(op_d,op_c))),op_c) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1949.2.0','0.800.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.1950.0.1',plain,
% 52.77/53.14 ( ld(mult(op_d,mult(X1,ld(op_d,op_d))),op_d) = rd(ld(X1,ld(op_d,mult(op_d,op_c))),op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1950.0.0','0.291.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.1950.0.2',plain,
% 52.77/53.14 ( ld(mult(op_d,mult(X1,unit)),op_d) = rd(ld(X1,ld(op_d,mult(op_d,op_c))),op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1950.0.1','0.13.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2.2','L')]).
% 52.77/53.14 cnf('0.1950.0.3',plain,
% 52.77/53.14 ( ld(mult(op_d,X1),op_d) = rd(ld(X1,ld(op_d,mult(op_d,op_c))),op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1950.0.2','0.2.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1.2','L')]).
% 52.77/53.14 cnf('0.1950.0.4',plain,
% 52.77/53.14 ( ld(mult(op_d,X1),op_d) = rd(ld(X1,op_c),op_c) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1950.0.3','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.1.2','L')]).
% 52.77/53.14 cnf('0.1950.1.0',plain,
% 52.77/53.14 ( ld(mult(op_d,X1),op_d) = rd(ld(X1,op_c),op_c) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1950.0.4']),
% 52.77/53.14 [weight('<65,1949,800,[1,0,0,1]>')]).
% 52.77/53.14 cnf('0.1950.2.0',plain,
% 52.77/53.14 ( rd(ld(X1,op_c),op_c) = ld(mult(op_d,X1),op_d) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1950.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_1950]).
% 52.77/53.14 cnf('0.1959.0.0',plain,
% 52.77/53.14 ( ld(mult(op_d,ld(rd(unit,op_c),X1)),op_d) = ld(X1,rd(unit,op_c)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1950.2.0','0.1149.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.1959.0.1',plain,
% 52.77/53.14 ( ld(mult(mult(op_d,op_c),X1),op_d) = ld(X1,rd(unit,op_c)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1959.0.0','0.913.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.1','L')]).
% 52.77/53.14 cnf('0.1959.1.0',plain,
% 52.77/53.14 ( ld(mult(mult(op_d,op_c),X1),op_d) = ld(X1,rd(unit,op_c)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1959.0.1']),
% 52.77/53.14 [weight('<103,1950,1149,[1,0,0,0]>')]).
% 52.77/53.14 cnf('0.1959.2.0',plain,
% 52.77/53.14 ( ld(mult(mult(op_d,op_c),X1),op_d) = ld(X1,rd(unit,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1959.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_1959]).
% 52.77/53.14 cnf('0.1967.0.0',plain,
% 52.77/53.14 ( mult(mult(op_d,op_c),X1) = rd(op_d,ld(X1,rd(unit,op_c))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.16.2.0','0.1959.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.1967.1.0',plain,
% 52.77/53.14 ( mult(mult(op_d,op_c),X1) = rd(op_d,ld(X1,rd(unit,op_c))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1967.0.0']),
% 52.77/53.14 [weight('<103,1959,16,[0,0,0,2]>')]).
% 52.77/53.14 cnf('0.1967.2.0',plain,
% 52.77/53.14 ( rd(op_d,ld(X1,rd(unit,op_c))) = mult(mult(op_d,op_c),X1) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1967.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_1967]).
% 52.77/53.14 cnf('0.1969.0.0',plain,
% 52.77/53.14 ( rd(mult(op_d,op_c),ld(X1,unit)) = rd(op_d,ld(X1,rd(unit,op_c))) ),
% 52.77/53.14 inference(interreduction_right,[status(thm)],['0.1440.2.0'])).
% 52.77/53.14 cnf('0.1969.0.1',plain,
% 52.77/53.14 ( rd(mult(op_d,op_c),ld(X1,unit)) = mult(mult(op_d,op_c),X1) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.1969.0.0','0.1967.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.1969.1.0',plain,
% 52.77/53.14 ( rd(mult(op_d,op_c),ld(X1,unit)) = mult(mult(op_d,op_c),X1) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.1969.0.1']),
% 52.77/53.14 [weight('<103,1440,1967,[0,0,0,0]>')]).
% 52.77/53.14 cnf('0.1969.2.0',plain,
% 52.77/53.14 ( rd(mult(op_d,op_c),ld(X1,unit)) = mult(mult(op_d,op_c),X1) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.1969.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_1969]).
% 52.77/53.14 cnf('0.2111.0.0',plain,
% 52.77/53.14 ( mult(X1,rd(unit,mult(op_d,op_c))) = rd(mult(X1,X1),mult(mult(op_d,op_c),X1)) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.1409.2.0','0.1969.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.2111.0.1',plain,
% 52.77/53.14 ( mult(X1,ld(op_c,ld(op_d,unit))) = rd(mult(X1,X1),mult(mult(op_d,op_c),X1)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.2111.0.0','0.475.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.2111.0.2',plain,
% 52.77/53.14 ( rd(X1,mult(op_d,op_c)) = rd(mult(X1,X1),mult(mult(op_d,op_c),X1)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.2111.0.1','0.937.2.0',theory(equality)]),
% 52.77/53.14 [pos('L','L')]).
% 52.77/53.14 cnf('0.2111.0.3',plain,
% 52.77/53.14 ( rd(X1,mult(op_d,op_c)) = ld(rd(unit,X1),rd(unit,mult(op_d,op_c))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.2111.0.2','0.1507.2.0',theory(equality)]),
% 52.77/53.14 [pos('R','L')]).
% 52.77/53.14 cnf('0.2111.0.4',plain,
% 52.77/53.14 ( rd(X1,mult(op_d,op_c)) = ld(rd(unit,X1),ld(op_c,ld(op_d,unit))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.2111.0.3','0.475.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2','L')]).
% 52.77/53.14 cnf('0.2111.1.0',plain,
% 52.77/53.14 ( rd(X1,mult(op_d,op_c)) = ld(rd(unit,X1),ld(op_c,ld(op_d,unit))) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.2111.0.4']),
% 52.77/53.14 [weight('<149,1969,1409,[0,0,0,4]>')]).
% 52.77/53.14 cnf('0.2111.2.0',plain,
% 52.77/53.14 ( ld(rd(unit,X1),ld(op_c,ld(op_d,unit))) = rd(X1,mult(op_d,op_c)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.2111.1.0',theory(equality)]),
% 52.77/53.14 [x,rule_2111]).
% 52.77/53.14 cnf('0.2213.0.0',plain,
% 52.77/53.14 ( mult(rd(unit,ld(X1,rd(X2,X3))),X3) = rd(X3,ld(X3,mult(X3,ld(mult(X1,X3),X2)))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.180.2.0','0.323.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.2','L')]).
% 52.77/53.14 cnf('0.2213.0.1',plain,
% 52.77/53.14 ( mult(rd(unit,ld(X1,rd(X2,X3))),X3) = rd(X3,ld(mult(X1,X3),X2)) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.2213.0.0','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('R.2','L')]).
% 52.77/53.14 cnf('0.2213.1.0',plain,
% 52.77/53.14 ( mult(rd(unit,ld(X1,rd(X2,X3))),X3) = rd(X3,ld(mult(X1,X3),X2)) ),
% 52.77/53.14 inference(weigh,[status(thm)],['0.2213.0.1']),
% 52.77/53.14 [weight('<169,323,180,[0,0,0,4]>')]).
% 52.77/53.14 cnf('0.2213.2.0',plain,
% 52.77/53.14 ( mult(rd(unit,ld(X1,rd(X2,X3))),X3) = rd(X3,ld(mult(X1,X3),X2)) ),
% 52.77/53.14 inference(orient,[status(thm)],['0.2213.1.0',theory(equality)]),
% 52.77/53.14 [u,rule_2213]).
% 52.77/53.14 cnf('0.2225.0.0',plain,
% 52.77/53.14 ( ld(X1,mult(rd(X2,X1),rd(mult(X1,X3),X1))) = mult(ld(X1,X2),mult(X3,ld(X1,unit))) ),
% 52.77/53.14 inference(cp,[status(thm)],['0.263.2.0','0.345.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.2225.0.1',plain,
% 52.77/53.14 ( ld(X1,rd(mult(X2,ld(X1,mult(X1,X3))),X1)) = mult(ld(X1,X2),mult(X3,ld(X1,unit))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.2225.0.0','0.298.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2','L')]).
% 52.77/53.14 cnf('0.2225.0.2',plain,
% 52.77/53.14 ( ld(X1,rd(mult(X2,X3),X1)) = mult(ld(X1,X2),mult(X3,ld(X1,unit))) ),
% 52.77/53.14 inference(reduction,[status(thm)],['0.2225.0.1','0.6.2.0',theory(equality)]),
% 52.77/53.14 [pos('L.2.1.2','L')]).
% 52.77/53.14 cnf('0.2225.1.0',plain,
% 52.77/53.15 ( ld(X1,rd(mult(X2,X3),X1)) = mult(ld(X1,X2),mult(X3,ld(X1,unit))) ),
% 52.77/53.15 inference(weigh,[status(thm)],['0.2225.0.2']),
% 52.77/53.15 [weight('<169,345,263,[0,0,0,4]>')]).
% 52.77/53.15 cnf('0.2225.2.0',plain,
% 52.77/53.15 ( mult(ld(X1,X2),mult(X3,ld(X1,unit))) = ld(X1,rd(mult(X2,X3),X1)) ),
% 52.77/53.15 inference(orient,[status(thm)],['0.2225.1.0',theory(equality)]),
% 52.77/53.15 [x,rule_2225]).
% 52.77/53.15 cnf('0.2240.0.0',plain,
% 52.77/53.15 ( rd(mult(op_c,mult(op_c,mult(op_d,X1))),op_c) = mult(op_c,rd(X1,ld(op_d,unit))) ),
% 52.77/53.15 inference(cp,[status(thm)],['0.83.2.0','0.351.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.2','L')]).
% 52.77/53.15 cnf('0.2240.0.1',plain,
% 52.77/53.15 ( rd(mult(op_c,rd(rd(X1,op_d),op_c)),op_c) = mult(op_c,rd(X1,ld(op_d,unit))) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.2240.0.0','0.35.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.1.2','L')]).
% 52.77/53.15 cnf('0.2240.1.0',plain,
% 52.77/53.15 ( rd(mult(op_c,rd(rd(X1,op_d),op_c)),op_c) = mult(op_c,rd(X1,ld(op_d,unit))) ),
% 52.77/53.15 inference(weigh,[status(thm)],['0.2240.0.1']),
% 52.77/53.15 [weight('<169,351,83,[0,0,0,2]>')]).
% 52.77/53.15 cnf('0.2240.1.1',plain,
% 52.77/53.15 ( rd(mult(op_c,rd(X1,op_d)),mult(op_c,op_c)) = mult(op_c,rd(X1,ld(op_d,unit))) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.2240.1.0','0.1078.2.0',theory(equality)]),
% 52.77/53.15 [pos('L','L')]).
% 52.77/53.15 cnf('0.2240.1.2',plain,
% 52.77/53.15 ( rd(rd(ld(op_d,X1),op_d),mult(op_c,op_c)) = mult(op_c,rd(X1,ld(op_d,unit))) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.2240.1.1','0.31.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.1','L')]).
% 52.77/53.15 cnf('0.2240.2.0',plain,
% 52.77/53.15 ( rd(rd(ld(op_d,X1),op_d),mult(op_c,op_c)) = mult(op_c,rd(X1,ld(op_d,unit))) ),
% 52.77/53.15 inference(orient,[status(thm)],['0.2240.1.2',theory(equality)]),
% 52.77/53.15 [u,rule_2240]).
% 52.77/53.15 cnf('0.2244.0.0',plain,
% 52.77/53.15 ( ld(X1,mult(rd(mult(mult(X1,X2),X1),X1),X3)) = mult(rd(X2,ld(X1,unit)),ld(X1,X3)) ),
% 52.77/53.15 inference(cp,[status(thm)],['0.263.2.0','0.351.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.1','L')]).
% 52.77/53.15 cnf('0.2244.0.1',plain,
% 52.77/53.15 ( ld(X1,mult(mult(X1,X2),X3)) = mult(rd(X2,ld(X1,unit)),ld(X1,X3)) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.2244.0.0','0.5.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.2.1','L')]).
% 52.77/53.15 cnf('0.2244.1.0',plain,
% 52.77/53.15 ( ld(X1,mult(mult(X1,X2),X3)) = mult(rd(X2,ld(X1,unit)),ld(X1,X3)) ),
% 52.77/53.15 inference(weigh,[status(thm)],['0.2244.0.1']),
% 52.77/53.15 [weight('<169,351,263,[0,0,0,1]>')]).
% 52.77/53.15 cnf('0.2244.2.0',plain,
% 52.77/53.15 ( mult(rd(X1,ld(X2,unit)),ld(X2,X3)) = ld(X2,mult(mult(X2,X1),X3)) ),
% 52.77/53.15 inference(orient,[status(thm)],['0.2244.1.0',theory(equality)]),
% 52.77/53.15 [x,rule_2244]).
% 52.77/53.15 cnf('0.3183.0.0',plain,
% 52.77/53.15 ( ld(X1,mult(ld(rd(X2,X1),unit),X3)) = mult(ld(X2,X1),ld(X1,X3)) ),
% 52.77/53.15 inference(cp,[status(thm)],['0.1917.2.0','0.4.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.1.1','L')]).
% 52.77/53.15 cnf('0.3183.1.0',plain,
% 52.77/53.15 ( ld(X1,mult(ld(rd(X2,X1),unit),X3)) = mult(ld(X2,X1),ld(X1,X3)) ),
% 52.77/53.15 inference(weigh,[status(thm)],['0.3183.0.0']),
% 52.77/53.15 [weight('<169,1917,4,[1,0,0,2]>')]).
% 52.77/53.15 cnf('0.3183.2.0',plain,
% 52.77/53.15 ( ld(X1,mult(ld(rd(X2,X1),unit),X3)) = mult(ld(X2,X1),ld(X1,X3)) ),
% 52.77/53.15 inference(orient,[status(thm)],['0.3183.1.0',theory(equality)]),
% 52.77/53.15 [u,rule_3183]).
% 52.77/53.15 cnf('0.3542.0.0',plain,
% 52.77/53.15 ( rd(unit,ld(X1,rd(X2,X3))) = rd(rd(X3,ld(mult(X1,X3),X2)),X3) ),
% 52.77/53.15 inference(cp,[status(thm)],['0.5.2.0','0.2213.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.1','L')]).
% 52.77/53.15 cnf('0.3542.1.0',plain,
% 52.77/53.15 ( rd(unit,ld(X1,rd(X2,X3))) = rd(rd(X3,ld(mult(X1,X3),X2)),X3) ),
% 52.77/53.15 inference(weigh,[status(thm)],['0.3542.0.0']),
% 52.77/53.15 [weight('<169,2213,5,[0,0,0,1]>')]).
% 52.77/53.15 cnf('0.3542.2.0',plain,
% 52.77/53.15 ( rd(rd(X1,ld(mult(X2,X1),X3)),X1) = rd(unit,ld(X2,rd(X3,X1))) ),
% 52.77/53.15 inference(orient,[status(thm)],['0.3542.1.0',theory(equality)]),
% 52.77/53.15 [x,rule_3542]).
% 52.77/53.15 cnf('0.6439.0.0',plain,
% 52.77/53.15 ( mult(rd(X1,X2),ld(X3,rd(X4,X2))) = rd(mult(X1,ld(X2,mult(X2,ld(mult(X3,X2),X4)))),X2) ),
% 52.77/53.15 inference(cp,[status(thm)],['0.295.2.0','0.323.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.1.2.2','L')]).
% 52.77/53.15 cnf('0.6439.0.1',plain,
% 52.77/53.15 ( mult(rd(X1,X2),ld(X3,rd(X4,X2))) = rd(mult(X1,ld(mult(X3,X2),X4)),X2) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.6439.0.0','0.6.2.0',theory(equality)]),
% 52.77/53.15 [pos('R.1.2','L')]).
% 52.77/53.15 cnf('0.6439.1.0',plain,
% 52.77/53.15 ( mult(rd(X1,X2),ld(X3,rd(X4,X2))) = rd(mult(X1,ld(mult(X3,X2),X4)),X2) ),
% 52.77/53.15 inference(weigh,[status(thm)],['0.6439.0.1']),
% 52.77/53.15 [weight('<189,323,295,[0,0,0,5]>')]).
% 52.77/53.15 cnf('0.6439.2.0',plain,
% 52.77/53.15 ( mult(rd(X1,X2),ld(X3,rd(X4,X2))) = rd(mult(X1,ld(mult(X3,X2),X4)),X2) ),
% 52.77/53.15 inference(orient,[status(thm)],['0.6439.1.0',theory(equality)]),
% 52.77/53.15 [u,rule_6435]).
% 52.77/53.15 cnf('0.8183.0.0',plain,
% 52.77/53.15 ( ld(rd(unit,X1),rd(mult(ld(op_c,ld(op_d,unit)),X2),rd(unit,X1))) = mult(rd(X1,mult(op_d,op_c)),mult(X2,ld(rd(unit,X1),unit))) ),
% 52.77/53.15 inference(cp,[status(thm)],['0.2225.2.0','0.2111.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.1','L')]).
% 52.77/53.15 cnf('0.8183.0.1',plain,
% 52.77/53.15 ( mult(X1,mult(mult(ld(op_c,ld(op_d,unit)),X2),X1)) = mult(rd(X1,mult(op_d,op_c)),mult(X2,ld(rd(unit,X1),unit))) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.8183.0.0','0.1224.2.0',theory(equality)]),
% 52.77/53.15 [pos('L','L')]).
% 52.77/53.15 cnf('0.8183.0.2',plain,
% 52.77/53.15 ( mult(X1,mult(ld(mult(op_d,op_c),X2),X1)) = mult(rd(X1,mult(op_d,op_c)),mult(X2,ld(rd(unit,X1),unit))) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.8183.0.1','0.931.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.2.1','L')]).
% 52.77/53.15 cnf('0.8183.0.3',plain,
% 52.77/53.15 ( mult(X1,mult(ld(mult(op_d,op_c),X2),X1)) = mult(rd(X1,mult(op_d,op_c)),mult(X2,X1)) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.8183.0.2','0.17.2.0',theory(equality)]),
% 52.77/53.15 [pos('R.2.2','L')]).
% 52.77/53.15 cnf('0.8183.1.0',plain,
% 52.77/53.15 ( mult(X1,mult(ld(mult(op_d,op_c),X2),X1)) = mult(rd(X1,mult(op_d,op_c)),mult(X2,X1)) ),
% 52.77/53.15 inference(weigh,[status(thm)],['0.8183.0.3']),
% 52.77/53.15 [weight('<189,2225,2111,[1,0,0,1]>')]).
% 52.77/53.15 cnf('0.8183.2.0',plain,
% 52.77/53.15 ( mult(rd(X1,mult(op_d,op_c)),mult(X2,X1)) = mult(X1,mult(ld(mult(op_d,op_c),X2),X1)) ),
% 52.77/53.15 inference(orient,[status(thm)],['0.8183.1.0',theory(equality)]),
% 52.77/53.15 [x,rule_8179]).
% 52.77/53.15 cnf('0.9324.0.0',plain,
% 52.77/53.15 ( mult(ld(rd(X1,ld(mult(X2,X1),X3)),X1),ld(X1,X4)) = ld(X1,mult(ld(rd(unit,ld(X2,rd(X3,X1))),unit),X4)) ),
% 52.77/53.15 inference(cp,[status(thm)],['0.3183.2.0','0.3542.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.2.1.1','L')]).
% 52.77/53.15 cnf('0.9324.0.1',plain,
% 52.77/53.15 ( mult(ld(mult(X2,X1),X3),ld(X1,X4)) = ld(X1,mult(ld(rd(unit,ld(X2,rd(X3,X1))),unit),X4)) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.9324.0.0','0.17.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.1','L')]).
% 52.77/53.15 cnf('0.9324.0.2',plain,
% 52.77/53.15 ( mult(ld(mult(X2,X1),X3),ld(X1,X4)) = ld(X1,mult(ld(X2,rd(X3,X1)),X4)) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.9324.0.1','0.17.2.0',theory(equality)]),
% 52.77/53.15 [pos('R.2.1','L')]).
% 52.77/53.15 cnf('0.9324.1.0',plain,
% 52.77/53.15 ( mult(ld(mult(X2,X1),X3),ld(X1,X4)) = ld(X1,mult(ld(X2,rd(X3,X1)),X4)) ),
% 52.77/53.15 inference(weigh,[status(thm)],['0.9324.0.2']),
% 52.77/53.15 [weight('<189,3542,3183,[0,0,0,4]>')]).
% 52.77/53.15 cnf('0.9324.2.0',plain,
% 52.77/53.15 ( mult(ld(mult(X1,X2),X3),ld(X2,X4)) = ld(X2,mult(ld(X1,rd(X3,X2)),X4)) ),
% 52.77/53.15 inference(orient,[status(thm)],['0.9324.1.0',theory(equality)]),
% 52.77/53.15 [u,rule_9319]).
% 52.77/53.15 cnf('0.9702.0.0',plain,
% 52.77/53.15 ( mult(mult(op_c,op_c),mult(ld(mult(op_c,op_c),X1),ld(op_c,X2))) = mult(rd(X1,mult(op_c,op_c)),rd(ld(op_d,rd(X2,op_c)),op_d)) ),
% 52.77/53.15 inference(cp,[status(thm)],['0.80.2.0','0.95.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.2','L')]).
% 52.77/53.15 cnf('0.9702.1.0',plain,
% 52.77/53.15 ( mult(mult(op_c,op_c),mult(ld(mult(op_c,op_c),X1),ld(op_c,X2))) = mult(rd(X1,mult(op_c,op_c)),rd(ld(op_d,rd(X2,op_c)),op_d)) ),
% 52.77/53.15 inference(weigh,[status(thm)],['0.9702.0.0']),
% 52.77/53.15 [weight('<?,95,80,[0,0,0,4]>')]).
% 52.77/53.15 cnf('0.9702.1.1',plain,
% 52.77/53.15 ( mult(mult(op_c,op_c),ld(op_c,mult(ld(op_c,rd(X1,op_c)),X2))) = mult(rd(X1,mult(op_c,op_c)),rd(ld(op_d,rd(X2,op_c)),op_d)) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.9702.1.0','0.9324.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.2','L')]).
% 52.77/53.15 cnf('0.9702.1.2',plain,
% 52.77/53.15 ( rd(ld(op_d,rd(mult(ld(op_c,rd(X1,op_c)),X2),op_c)),op_d) = mult(rd(X1,mult(op_c,op_c)),rd(ld(op_d,rd(X2,op_c)),op_d)) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.9702.1.1','0.95.2.0',theory(equality)]),
% 52.77/53.15 [pos('L','L')]).
% 52.77/53.15 cnf('0.9702.2.0',plain,
% 52.77/53.15 ( mult(rd(X1,mult(op_c,op_c)),rd(ld(op_d,rd(X2,op_c)),op_d)) = rd(ld(op_d,rd(mult(ld(op_c,rd(X1,op_c)),X2),op_c)),op_d) ),
% 52.77/53.15 inference(orient,[status(thm)],['0.9702.1.2',theory(equality)]),
% 52.77/53.15 [x,rule_9697]).
% 52.77/53.15 cnf('0.9703.0.0',plain,
% 52.77/53.15 ( rd(ld(op_d,rd(mult(ld(op_c,rd(rd(ld(op_d,X1),op_d),op_c)),X2),op_c)),op_d) = mult(mult(op_c,rd(X1,ld(op_d,unit))),rd(ld(op_d,rd(X2,op_c)),op_d)) ),
% 52.77/53.15 inference(cp,[status(thm)],['0.9702.2.0','0.2240.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.1','L')]).
% 52.77/53.15 cnf('0.9703.0.1',plain,
% 52.77/53.15 ( rd(ld(op_d,rd(mult(rd(X1,mult(op_c,op_d)),X2),op_c)),op_d) = mult(mult(op_c,rd(X1,ld(op_d,unit))),rd(ld(op_d,rd(X2,op_c)),op_d)) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.9703.0.0','0.1174.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.1.2.1.1','L')]).
% 52.77/53.15 cnf('0.9703.0.2',plain,
% 52.77/53.15 ( rd(ld(op_d,rd(mult(rd(X1,unit),X2),op_c)),op_d) = mult(mult(op_c,rd(X1,ld(op_d,unit))),rd(ld(op_d,rd(X2,op_c)),op_d)) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.9703.0.1','0.9.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.1.2.1.1.2','L')]).
% 52.77/53.15 cnf('0.9703.0.3',plain,
% 52.77/53.15 ( rd(ld(op_d,rd(mult(X1,X2),op_c)),op_d) = mult(mult(op_c,rd(X1,ld(op_d,unit))),rd(ld(op_d,rd(X2,op_c)),op_d)) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.9703.0.2','0.11.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.1.2.1.1','L')]).
% 52.77/53.15 cnf('0.9703.0.4',plain,
% 52.77/53.15 ( rd(ld(op_d,rd(mult(X1,X2),op_c)),op_d) = rd(ld(op_d,mult(rd(X1,ld(op_d,unit)),ld(op_d,rd(X2,op_c)))),op_d) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.9703.0.3','0.294.2.0',theory(equality)]),
% 52.77/53.15 [pos('R','L')]).
% 52.77/53.15 cnf('0.9703.0.5',plain,
% 52.77/53.15 ( rd(ld(op_d,rd(mult(X1,X2),op_c)),op_d) = rd(ld(op_d,ld(op_d,mult(mult(op_d,X1),rd(X2,op_c)))),op_d) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.9703.0.4','0.2244.2.0',theory(equality)]),
% 52.77/53.15 [pos('R.1.2','L')]).
% 52.77/53.15 cnf('0.9703.1.0',plain,
% 52.77/53.15 ( rd(mult(X1,X2),op_c) = ld(op_d,mult(mult(op_d,X1),rd(X2,op_c))) ),
% 52.77/53.15 inference(weigh,[status(thm)],['0.9703.0.5']),
% 52.77/53.15 [weight('<149,9702,2240,[1,0,0,1]>')]).
% 52.77/53.15 cnf('0.9703.2.0',plain,
% 52.77/53.15 ( ld(op_d,mult(mult(op_d,X1),rd(X2,op_c))) = rd(mult(X1,X2),op_c) ),
% 52.77/53.15 inference(orient,[status(thm)],['0.9703.1.0',theory(equality)]),
% 52.77/53.15 [x,rule_9698]).
% 52.77/53.15 cnf('0.9704.0.0',plain,
% 52.77/53.15 ( mult(mult(op_d,X1),rd(X2,op_c)) = mult(op_d,rd(mult(X1,X2),op_c)) ),
% 52.77/53.15 inference(cp,[status(thm)],['0.1.2.0','0.9703.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.2','L')]).
% 52.77/53.15 cnf('0.9704.1.0',plain,
% 52.77/53.15 ( mult(mult(op_d,X1),rd(X2,op_c)) = mult(op_d,rd(mult(X1,X2),op_c)) ),
% 52.77/53.15 inference(weigh,[status(thm)],['0.9704.0.0']),
% 52.77/53.15 [weight('<119,9703,1,[0,0,0,2]>')]).
% 52.77/53.15 cnf('0.9704.2.0',plain,
% 52.77/53.15 ( mult(mult(op_d,X1),rd(X2,op_c)) = mult(op_d,rd(mult(X1,X2),op_c)) ),
% 52.77/53.15 inference(orient,[status(thm)],['0.9704.1.0',theory(equality)]),
% 52.77/53.15 [u,rule_9699]).
% 52.77/53.15 cnf('0.9705.0.0',plain,
% 52.77/53.15 ( mult(op_d,rd(mult(rd(X1,mult(op_d,op_c)),X2),op_c)) = mult(ld(op_c,rd(rd(X1,op_c),op_d)),rd(X2,op_c)) ),
% 52.77/53.15 inference(cp,[status(thm)],['0.9704.2.0','0.1011.2.0',theory(equality)]),
% 52.77/53.15 [pos('L.1','L')]).
% 52.77/53.15 cnf('0.9705.0.1',plain,
% 52.77/53.15 ( mult(op_d,rd(mult(rd(X1,mult(op_d,op_c)),X2),op_c)) = mult(op_d,mult(rd(X1,op_c),ld(op_d,rd(X2,op_c)))) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.9705.0.0','0.291.2.0',theory(equality)]),
% 52.77/53.15 [pos('R','L')]).
% 52.77/53.15 cnf('0.9705.0.2',plain,
% 52.77/53.15 ( mult(op_d,rd(mult(rd(X1,mult(op_d,op_c)),X2),op_c)) = mult(op_d,rd(mult(X1,ld(mult(op_d,op_c),X2)),op_c)) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.9705.0.1','0.6439.2.0',theory(equality)]),
% 52.77/53.15 [pos('R.2','L')]).
% 52.77/53.15 cnf('0.9705.1.0',plain,
% 52.77/53.15 ( mult(rd(X1,mult(op_d,op_c)),X2) = mult(X1,ld(mult(op_d,op_c),X2)) ),
% 52.77/53.15 inference(weigh,[status(thm)],['0.9705.0.2']),
% 52.77/53.15 [weight('<119,9704,1011,[1,0,0,1]>')]).
% 52.77/53.15 cnf('0.9705.2.0',plain,
% 52.77/53.15 ( mult(rd(X1,mult(op_d,op_c)),X2) = mult(X1,ld(mult(op_d,op_c),X2)) ),
% 52.77/53.15 inference(orient,[status(thm)],['0.9705.1.0',theory(equality)]),
% 52.77/53.15 [u,rule_9700]).
% 52.77/53.15 cnf('0.9706.0.0',plain,
% 52.77/53.15 ( mult(rd(X1,mult(op_d,op_c)),mult(X2,X1)) = mult(X1,mult(ld(mult(op_d,op_c),X2),X1)) ),
% 52.77/53.15 inference(interreduction_right,[status(thm)],['0.8183.2.0'])).
% 52.77/53.15 cnf('0.9706.0.1',plain,
% 52.77/53.15 ( mult(X1,ld(mult(op_d,op_c),mult(X2,X1))) = mult(X1,mult(ld(mult(op_d,op_c),X2),X1)) ),
% 52.77/53.15 inference(reduction,[status(thm)],['0.9706.0.0','0.9705.2.0',theory(equality)]),
% 52.77/53.15 [pos('L','L')]).
% 52.77/53.15 cnf('0.9706.1.0',plain,
% 52.77/53.15 ( ld(mult(op_d,op_c),mult(X2,X1)) = mult(ld(mult(op_d,op_c),X2),X1) ),
% 52.77/53.15 inference(weigh,[status(thm)],['0.9706.0.1']),
% 52.77/53.15 [weight('<119,8183,9705,[0,0,0,0]>')]).
% 52.77/53.15 cnf('0.9706.2.0',plain,
% 52.77/53.15 ( mult(ld(mult(op_d,op_c),X1),X2) = ld(mult(op_d,op_c),mult(X1,X2)) ),
% 52.77/53.15 inference(orient,[status(thm)],['0.9706.1.0',theory(equality)]),
% 52.77/53.15 [x,rule_9701]).
% 52.77/53.15 cnf('0.9710.0.0',plain,
% 52.77/53.15 ( ld(mult(op_d,op_c),mult(mult(X1,mult(op_d,op_c)),X2)) = ld(mult(op_d,op_c),mult(X1,mult(mult(op_d,op_c),X2))) ),
% 52.77/53.15 inference(cp,[status(thm)],['0.9706.2.0','0.289.2.0',theory(equality)]),
% 52.77/53.15 [pos('L','L')]).
% 52.77/53.15 cnf('0.9710.1.0',plain,
% 52.77/53.15 ( mult(mult(X1,mult(op_d,op_c)),X2) = mult(X1,mult(mult(op_d,op_c),X2)) ),
% 52.77/53.15 inference(weigh,[status(thm)],['0.9710.0.0']),
% 52.77/53.15 [weight('<119,9706,289,[1,0,0,0]>')]).
% 52.77/53.15 cnf('0.9710.2.0',plain,
% 52.77/53.15 ( mult(mult(X1,mult(op_d,op_c)),X2) = mult(X1,mult(mult(op_d,op_c),X2)) ),
% 52.77/53.15 inference(orient,[status(thm)],['0.9710.1.0',theory(equality)]),
% 52.77/53.15 [u,rule_9705]).
% 52.77/53.15 cnf('1.0.0.0',conjecture,
% 52.77/53.15 ( mult(mult(a,mult(op_d,op_c)),b) = mult(a,mult(mult(op_d,op_c),b)) ),
% 52.77/53.15 file('/tmp/WALDMEISTER_24657_n020',conjecture_1)).
% 52.77/53.15 cnf('1.0.0.1',plain,
% 52.77/53.15 ( mult(a,mult(mult(op_d,op_c),b)) = mult(a,mult(mult(op_d,op_c),b)) ),
% 52.77/53.15 inference(reduction,[status(thm)],['1.0.0.0','0.9710.2.0',theory(equality)]),
% 52.77/53.15 [pos('L','L')]).
% 52.77/53.15 cnf('1.0.0.2',plain,
% 52.77/53.15 ( $true ),
% 52.77/53.15 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 52.77/53.15 [conjecture_1]).
% 52.77/53.15
% 52.77/53.15 Proved Goals:
% 52.77/53.15 No. 1: mult(mult(a,mult(op_d,op_c)),b) ?= mult(a,mult(mult(op_d,op_c),b)) joined, current: mult(a,mult(mult(op_d,op_c),b)) = mult(a,mult(mult(op_d,op_c),b))
% 52.77/53.15 1 goal was specified, which was proved.
% 52.77/53.15 % SZS output end CNFRefutation
% 52.77/53.15 #END OF PROOF
% 52.77/53.15
% 52.77/53.15 Problem WALDMEISTER_24657_n020
% 52.77/53.15 CPs.gen 6363934
% 52.77/53.15 CPs.reexp 0
% 52.77/53.15 Select 35845
% 52.77/53.15 R 9705
% 52.77/53.15 E 5
% 52.77/53.15 vsize 14.9M
% 52.77/53.15 rss 10.3M
% 52.77/53.15 process.time 52.072s
% 52.77/53.15 wallclock.time 52.071s
% 52.77/53.15 status S
% 52.77/53.15
% 52.77/53.15
% 52.77/53.15 Waldmeister states: Goal proved.
% 52.77/53.15 % SZS status Unsatisfiable
%------------------------------------------------------------------------------