TSTP Solution File: GRP678-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP678-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n012.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 12:27:50 EDT 2022
% Result : Unsatisfiable 209.14s 209.61s
% Output : CNFRefutation 209.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP678-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n012.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 : Tue Jun 14 12:10:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.61/0.99 ********************************************************************************
% 0.61/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.61/0.99 * |/ | \/ | *
% 0.61/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.61/0.99 * A. Jaeger and B. Loechner | | *
% 0.61/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.61/0.99 ********************************************************************************
% 0.61/0.99
% 0.61/0.99
% 0.61/0.99 Goals:
% 0.61/0.99 ------
% 0.61/0.99
% 0.61/0.99 ( 1) mult(op_c,asoc(a,b,c)) ?=? mult(asoc(a,b,c),op_c)
% 0.61/0.99
% 0.61/0.99 Detected structure: Loop
% 0.61/0.99 ********************************************************************************
% 0.61/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.61/0.99 ********************************************************************************
% 0.61/0.99
% 209.14/209.61 joined goal: 1 mult(op_c,asoc(a,b,c)) ?= mult(asoc(a,b,c),op_c) to rd(asoc(a,b,c),rd(unit,op_c))
% 209.14/209.61 goal joined
% 209.14/209.61 % SZS status Unsatisfiable
% 209.14/209.61 #START OF PROOF
% 209.14/209.61 % SZS output start CNFRefutation
% 209.14/209.61 cnf('0.1.0.0',axiom,
% 209.14/209.61 ( X1 = mult(X2,ld(X2,X1)) ),
% 209.14/209.61 file('/tmp/WALDMEISTER_3923_n012')).
% 209.14/209.61 cnf('0.1.1.0',plain,
% 209.14/209.61 ( X1 = mult(X2,ld(X2,X1)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.1.0.0']),
% 209.14/209.61 [weight('<0,0,0,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.1.2.0',plain,
% 209.14/209.61 ( mult(X1,ld(X1,X2)) = X2 ),
% 209.14/209.61 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_1]).
% 209.14/209.61 cnf('0.2.0.0',axiom,
% 209.14/209.61 ( X1 = mult(X1,unit) ),
% 209.14/209.61 file('/tmp/WALDMEISTER_3923_n012')).
% 209.14/209.61 cnf('0.2.1.0',plain,
% 209.14/209.61 ( X1 = mult(X1,unit) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.2.0.0']),
% 209.14/209.61 [weight('<1,0,0,[0,0,0,2]>')]).
% 209.14/209.61 cnf('0.2.2.0',plain,
% 209.14/209.61 ( mult(X1,unit) = X1 ),
% 209.14/209.61 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_2]).
% 209.14/209.61 cnf('0.3.0.0',axiom,
% 209.14/209.61 ( X1 = mult(rd(X1,X2),X2) ),
% 209.14/209.61 file('/tmp/WALDMEISTER_3923_n012')).
% 209.14/209.61 cnf('0.3.1.0',plain,
% 209.14/209.61 ( X1 = mult(rd(X1,X2),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.3.0.0']),
% 209.14/209.61 [weight('<2,0,0,[0,0,0,3]>')]).
% 209.14/209.61 cnf('0.3.2.0',plain,
% 209.14/209.61 ( mult(rd(X1,X2),X2) = X1 ),
% 209.14/209.61 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_3]).
% 209.14/209.61 cnf('0.4.0.0',axiom,
% 209.14/209.61 ( X1 = mult(unit,X1) ),
% 209.14/209.61 file('/tmp/WALDMEISTER_3923_n012')).
% 209.14/209.61 cnf('0.4.1.0',plain,
% 209.14/209.61 ( X1 = mult(unit,X1) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.4.0.0']),
% 209.14/209.61 [weight('<3,0,0,[0,0,0,4]>')]).
% 209.14/209.61 cnf('0.4.2.0',plain,
% 209.14/209.61 ( mult(unit,X1) = X1 ),
% 209.14/209.61 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_4]).
% 209.14/209.61 cnf('0.5.0.0',axiom,
% 209.14/209.61 ( X1 = ld(X2,mult(X2,X1)) ),
% 209.14/209.61 file('/tmp/WALDMEISTER_3923_n012')).
% 209.14/209.61 cnf('0.5.1.0',plain,
% 209.14/209.61 ( X1 = ld(X2,mult(X2,X1)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.5.0.0']),
% 209.14/209.61 [weight('<4,0,0,[0,0,0,5]>')]).
% 209.14/209.61 cnf('0.5.2.0',plain,
% 209.14/209.61 ( ld(X1,mult(X1,X2)) = X2 ),
% 209.14/209.61 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_5]).
% 209.14/209.61 cnf('0.6.0.0',axiom,
% 209.14/209.61 ( X1 = rd(mult(X1,X2),X2) ),
% 209.14/209.61 file('/tmp/WALDMEISTER_3923_n012')).
% 209.14/209.61 cnf('0.6.1.0',plain,
% 209.14/209.61 ( X1 = rd(mult(X1,X2),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.6.0.0']),
% 209.14/209.61 [weight('<5,0,0,[0,0,0,6]>')]).
% 209.14/209.61 cnf('0.6.2.0',plain,
% 209.14/209.61 ( rd(mult(X1,X2),X2) = X1 ),
% 209.14/209.61 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_6]).
% 209.14/209.61 cnf('0.7.0.0',axiom,
% 209.14/209.61 ( mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)) ),
% 209.14/209.61 file('/tmp/WALDMEISTER_3923_n012')).
% 209.14/209.61 cnf('0.7.1.0',plain,
% 209.14/209.61 ( mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.7.0.0']),
% 209.14/209.61 [weight('<6,0,0,[0,0,0,7]>')]).
% 209.14/209.61 cnf('0.7.2.0',plain,
% 209.14/209.61 ( mult(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(X2,X3)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_7]).
% 209.14/209.61 cnf('0.8.0.0',axiom,
% 209.14/209.61 ( mult(X1,mult(X2,op_c)) = mult(mult(X1,X2),op_c) ),
% 209.14/209.61 file('/tmp/WALDMEISTER_3923_n012')).
% 209.14/209.61 cnf('0.8.1.0',plain,
% 209.14/209.61 ( mult(X1,mult(X2,op_c)) = mult(mult(X1,X2),op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.8.0.0']),
% 209.14/209.61 [weight('<7,0,0,[0,0,0,8]>')]).
% 209.14/209.61 cnf('0.8.2.0',plain,
% 209.14/209.61 ( mult(mult(X1,X2),op_c) = mult(X1,mult(X2,op_c)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_8]).
% 209.14/209.61 cnf('0.9.0.0',axiom,
% 209.14/209.61 ( mult(X1,mult(op_c,X2)) = mult(mult(X1,op_c),X2) ),
% 209.14/209.61 file('/tmp/WALDMEISTER_3923_n012')).
% 209.14/209.61 cnf('0.9.1.0',plain,
% 209.14/209.61 ( mult(X1,mult(op_c,X2)) = mult(mult(X1,op_c),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.9.0.0']),
% 209.14/209.61 [weight('<8,0,0,[0,0,0,9]>')]).
% 209.14/209.61 cnf('0.9.2.0',plain,
% 209.14/209.61 ( mult(mult(X1,op_c),X2) = mult(X1,mult(op_c,X2)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_9]).
% 209.14/209.61 cnf('0.10.0.0',axiom,
% 209.14/209.61 ( mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))) ),
% 209.14/209.61 file('/tmp/WALDMEISTER_3923_n012')).
% 209.14/209.61 cnf('0.10.1.0',plain,
% 209.14/209.61 ( mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.10.0.0']),
% 209.14/209.61 [weight('<9,0,0,[0,0,0,10]>')]).
% 209.14/209.61 cnf('0.10.2.0',plain,
% 209.14/209.61 ( mult(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(mult(X1,X3),X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_10]).
% 209.14/209.61 cnf('0.11.0.0',axiom,
% 209.14/209.61 ( mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)) ),
% 209.14/209.61 file('/tmp/WALDMEISTER_3923_n012')).
% 209.14/209.61 cnf('0.11.1.0',plain,
% 209.14/209.61 ( mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.11.0.0']),
% 209.14/209.61 [weight('<10,0,0,[0,0,0,11]>')]).
% 209.14/209.61 cnf('0.11.2.0',plain,
% 209.14/209.61 ( mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_11]).
% 209.14/209.61 cnf('0.12.0.0',axiom,
% 209.14/209.61 ( ld(mult(X1,mult(X2,X3)),mult(mult(X1,X2),X3)) = asoc(X1,X2,X3) ),
% 209.14/209.61 file('/tmp/WALDMEISTER_3923_n012')).
% 209.14/209.61 cnf('0.12.1.0',plain,
% 209.14/209.61 ( ld(mult(X1,mult(X2,X3)),mult(mult(X1,X2),X3)) = asoc(X1,X2,X3) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.12.0.0']),
% 209.14/209.61 [weight('<11,0,0,[0,0,0,12]>')]).
% 209.14/209.61 cnf('0.12.2.0',plain,
% 209.14/209.61 ( ld(mult(X1,mult(X2,X3)),mult(mult(X1,X2),X3)) = asoc(X1,X2,X3) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_12]).
% 209.14/209.61 cnf('0.13.0.0',plain,
% 209.14/209.61 ( X1 = rd(X1,unit) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 209.14/209.61 [pos('L','L')]).
% 209.14/209.61 cnf('0.13.1.0',plain,
% 209.14/209.61 ( X1 = rd(X1,unit) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.13.0.0']),
% 209.14/209.61 [weight('<19,3,2,[1,0,0,0]>')]).
% 209.14/209.61 cnf('0.13.2.0',plain,
% 209.14/209.61 ( rd(X1,unit) = X1 ),
% 209.14/209.61 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_13]).
% 209.14/209.61 cnf('0.14.0.0',plain,
% 209.14/209.61 ( ld(unit,X1) = X1 ),
% 209.14/209.61 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.61 [pos('L','L')]).
% 209.14/209.61 cnf('0.14.1.0',plain,
% 209.14/209.61 ( ld(unit,X1) = X1 ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.14.0.0']),
% 209.14/209.61 [weight('<19,4,1,[1,0,0,0]>')]).
% 209.14/209.61 cnf('0.14.2.0',plain,
% 209.14/209.61 ( ld(unit,X1) = X1 ),
% 209.14/209.61 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_14]).
% 209.14/209.61 cnf('0.15.0.0',plain,
% 209.14/209.61 ( unit = ld(X1,X1) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2','L')]).
% 209.14/209.61 cnf('0.15.1.0',plain,
% 209.14/209.61 ( unit = ld(X1,X1) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.15.0.0']),
% 209.14/209.61 [weight('<19,5,2,[1,0,0,2]>')]).
% 209.14/209.61 cnf('0.15.2.0',plain,
% 209.14/209.61 ( ld(X1,X1) = unit ),
% 209.14/209.61 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_15]).
% 209.14/209.61 cnf('0.16.0.0',plain,
% 209.14/209.61 ( unit = rd(X1,X1) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.16.1.0',plain,
% 209.14/209.61 ( unit = rd(X1,X1) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.16.0.0']),
% 209.14/209.61 [weight('<19,6,4,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.16.2.0',plain,
% 209.14/209.61 ( rd(X1,X1) = unit ),
% 209.14/209.61 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_16]).
% 209.14/209.61 cnf('0.18.0.0',plain,
% 209.14/209.61 ( X1 = ld(rd(X2,X1),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2','L')]).
% 209.14/209.61 cnf('0.18.1.0',plain,
% 209.14/209.61 ( X1 = ld(rd(X2,X1),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.18.0.0']),
% 209.14/209.61 [weight('<41,5,3,[1,0,0,2]>')]).
% 209.14/209.61 cnf('0.18.2.0',plain,
% 209.14/209.61 ( ld(rd(X1,X2),X1) = X2 ),
% 209.14/209.61 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_18]).
% 209.14/209.61 cnf('0.19.0.0',plain,
% 209.14/209.61 ( X1 = rd(X2,ld(X1,X2)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.19.1.0',plain,
% 209.14/209.61 ( X1 = rd(X2,ld(X1,X2)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.19.0.0']),
% 209.14/209.61 [weight('<41,6,1,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.19.2.0',plain,
% 209.14/209.61 ( rd(X1,ld(X2,X1)) = X2 ),
% 209.14/209.61 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_19]).
% 209.14/209.61 cnf('0.20.0.0',plain,
% 209.14/209.61 ( mult(X1,mult(ld(X1,X2),op_c)) = mult(X2,op_c) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.8.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.20.1.0',plain,
% 209.14/209.61 ( mult(X1,mult(ld(X1,X2),op_c)) = mult(X2,op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.20.0.0']),
% 209.14/209.61 [weight('<87,8,1,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.20.2.0',plain,
% 209.14/209.61 ( mult(X1,mult(ld(X1,X2),op_c)) = mult(X2,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_20]).
% 209.14/209.61 cnf('0.23.0.0',plain,
% 209.14/209.61 ( mult(ld(X1,X2),op_c) = ld(X1,mult(X2,op_c)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.5.2.0','0.20.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2','L')]).
% 209.14/209.61 cnf('0.23.1.0',plain,
% 209.14/209.61 ( mult(ld(X1,X2),op_c) = ld(X1,mult(X2,op_c)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.23.0.0']),
% 209.14/209.61 [weight('<65,20,5,[0,0,0,2]>')]).
% 209.14/209.61 cnf('0.23.2.0',plain,
% 209.14/209.61 ( mult(ld(X1,X2),op_c) = ld(X1,mult(X2,op_c)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_23]).
% 209.14/209.61 cnf('0.24.0.0',plain,
% 209.14/209.61 ( mult(rd(X1,X2),mult(X2,op_c)) = mult(X1,op_c) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.8.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.24.1.0',plain,
% 209.14/209.61 ( mult(rd(X1,X2),mult(X2,op_c)) = mult(X1,op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.24.0.0']),
% 209.14/209.61 [weight('<87,8,3,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.24.2.0',plain,
% 209.14/209.61 ( mult(rd(X1,X2),mult(X2,op_c)) = mult(X1,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_24]).
% 209.14/209.61 cnf('0.25.0.0',plain,
% 209.14/209.61 ( mult(X1,X2) = rd(mult(X1,mult(X2,op_c)),op_c) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.6.2.0','0.8.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.25.1.0',plain,
% 209.14/209.61 ( mult(X1,X2) = rd(mult(X1,mult(X2,op_c)),op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.25.0.0']),
% 209.14/209.61 [weight('<87,8,6,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.25.2.0',plain,
% 209.14/209.61 ( rd(mult(X1,mult(X2,op_c)),op_c) = mult(X1,X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_25]).
% 209.14/209.61 cnf('0.26.0.0',plain,
% 209.14/209.61 ( mult(X1,rd(X2,op_c)) = rd(mult(X1,X2),op_c) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.25.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1.2','L')]).
% 209.14/209.61 cnf('0.26.1.0',plain,
% 209.14/209.61 ( mult(X1,rd(X2,op_c)) = rd(mult(X1,X2),op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.26.0.0']),
% 209.14/209.61 [weight('<65,25,3,[1,0,0,3]>')]).
% 209.14/209.61 cnf('0.26.2.0',plain,
% 209.14/209.61 ( mult(X1,rd(X2,op_c)) = rd(mult(X1,X2),op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_26]).
% 209.14/209.61 cnf('0.27.0.0',plain,
% 209.14/209.61 ( mult(rd(X1,op_c),mult(op_c,X2)) = mult(X1,X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.27.1.0',plain,
% 209.14/209.61 ( mult(rd(X1,op_c),mult(op_c,X2)) = mult(X1,X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.27.0.0']),
% 209.14/209.61 [weight('<87,9,3,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.27.2.0',plain,
% 209.14/209.61 ( mult(rd(X1,op_c),mult(op_c,X2)) = mult(X1,X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_27]).
% 209.14/209.61 cnf('0.30.0.0',plain,
% 209.14/209.61 ( mult(X1,ld(op_c,X2)) = mult(rd(X1,op_c),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.27.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2','L')]).
% 209.14/209.61 cnf('0.30.1.0',plain,
% 209.14/209.61 ( mult(X1,ld(op_c,X2)) = mult(rd(X1,op_c),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.30.0.0']),
% 209.14/209.61 [weight('<65,27,1,[1,0,0,4]>')]).
% 209.14/209.61 cnf('0.30.2.0',plain,
% 209.14/209.61 ( mult(rd(X1,op_c),X2) = mult(X1,ld(op_c,X2)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_30]).
% 209.14/209.61 cnf('0.31.0.0',plain,
% 209.14/209.61 ( mult(X1,ld(op_c,unit)) = rd(X1,op_c) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.30.2.0','0.2.2.0',theory(equality)]),
% 209.14/209.61 [pos('L','L')]).
% 209.14/209.61 cnf('0.31.1.0',plain,
% 209.14/209.61 ( mult(X1,ld(op_c,unit)) = rd(X1,op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.31.0.0']),
% 209.14/209.61 [weight('<53,30,2,[1,0,0,0]>')]).
% 209.14/209.61 cnf('0.31.2.0',plain,
% 209.14/209.61 ( mult(X1,ld(op_c,unit)) = rd(X1,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_31]).
% 209.14/209.61 cnf('0.32.0.0',plain,
% 209.14/209.61 ( rd(unit,op_c) = ld(op_c,unit) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.31.2.0','0.4.2.0',theory(equality)]),
% 209.14/209.61 [pos('L','L')]).
% 209.14/209.61 cnf('0.32.1.0',plain,
% 209.14/209.61 ( rd(unit,op_c) = ld(op_c,unit) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.32.0.0']),
% 209.14/209.61 [weight('<27,31,4,[1,0,0,0]>')]).
% 209.14/209.61 cnf('0.32.2.0',plain,
% 209.14/209.61 ( ld(op_c,unit) = rd(unit,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_32]).
% 209.14/209.61 cnf('0.33.0.0',plain,
% 209.14/209.61 ( op_c = rd(unit,rd(unit,op_c)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.19.2.0','0.32.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2','L')]).
% 209.14/209.61 cnf('0.33.1.0',plain,
% 209.14/209.61 ( op_c = rd(unit,rd(unit,op_c)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.33.0.0']),
% 209.14/209.61 [weight('<41,32,19,[0,0,0,2]>')]).
% 209.14/209.61 cnf('0.33.2.0',plain,
% 209.14/209.61 ( rd(unit,rd(unit,op_c)) = op_c ),
% 209.14/209.61 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_33]).
% 209.14/209.61 cnf('0.34.0.0',plain,
% 209.14/209.61 ( mult(X1,op_c) = rd(mult(X1,mult(op_c,X2)),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.6.2.0','0.9.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.34.1.0',plain,
% 209.14/209.61 ( mult(X1,op_c) = rd(mult(X1,mult(op_c,X2)),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.34.0.0']),
% 209.14/209.61 [weight('<87,9,6,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.34.2.0',plain,
% 209.14/209.61 ( rd(mult(X1,mult(op_c,X2)),X2) = mult(X1,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_34]).
% 209.14/209.61 cnf('0.35.0.0',plain,
% 209.14/209.61 ( mult(op_c,mult(ld(op_c,X1),X2)) = mult(X1,X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.11.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.35.1.0',plain,
% 209.14/209.61 ( mult(op_c,mult(ld(op_c,X1),X2)) = mult(X1,X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.35.0.0']),
% 209.14/209.61 [weight('<87,11,1,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.35.2.0',plain,
% 209.14/209.61 ( mult(op_c,mult(ld(op_c,X1),X2)) = mult(X1,X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_35]).
% 209.14/209.61 cnf('0.38.0.0',plain,
% 209.14/209.61 ( mult(ld(op_c,X1),X2) = ld(op_c,mult(X1,X2)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.5.2.0','0.35.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2','L')]).
% 209.14/209.61 cnf('0.38.1.0',plain,
% 209.14/209.61 ( mult(ld(op_c,X1),X2) = ld(op_c,mult(X1,X2)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.38.0.0']),
% 209.14/209.61 [weight('<65,35,5,[0,0,0,2]>')]).
% 209.14/209.61 cnf('0.38.2.0',plain,
% 209.14/209.61 ( mult(ld(op_c,X1),X2) = ld(op_c,mult(X1,X2)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_38]).
% 209.14/209.61 cnf('0.39.0.0',plain,
% 209.14/209.61 ( mult(op_c,X1) = rd(mult(op_c,mult(X1,X2)),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.6.2.0','0.11.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.39.1.0',plain,
% 209.14/209.61 ( mult(op_c,X1) = rd(mult(op_c,mult(X1,X2)),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.39.0.0']),
% 209.14/209.61 [weight('<87,11,6,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.39.2.0',plain,
% 209.14/209.61 ( rd(mult(op_c,mult(X1,X2)),X2) = mult(op_c,X1) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_39]).
% 209.14/209.61 cnf('0.40.0.0',plain,
% 209.14/209.61 ( mult(op_c,rd(X1,X2)) = rd(mult(op_c,X1),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.39.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1.2','L')]).
% 209.14/209.61 cnf('0.40.1.0',plain,
% 209.14/209.61 ( mult(op_c,rd(X1,X2)) = rd(mult(op_c,X1),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.40.0.0']),
% 209.14/209.61 [weight('<65,39,3,[1,0,0,3]>')]).
% 209.14/209.61 cnf('0.40.2.0',plain,
% 209.14/209.61 ( mult(op_c,rd(X1,X2)) = rd(mult(op_c,X1),X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_40]).
% 209.14/209.61 cnf('0.41.0.0',plain,
% 209.14/209.61 ( rd(mult(op_c,unit),rd(unit,op_c)) = mult(op_c,op_c) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.40.2.0','0.33.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2','L')]).
% 209.14/209.61 cnf('0.41.0.1',plain,
% 209.14/209.61 ( rd(op_c,rd(unit,op_c)) = mult(op_c,op_c) ),
% 209.14/209.61 inference(reduction,[status(thm)],['0.41.0.0','0.2.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.41.1.0',plain,
% 209.14/209.61 ( rd(op_c,rd(unit,op_c)) = mult(op_c,op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.41.0.1']),
% 209.14/209.61 [weight('<53,40,33,[1,0,0,2]>')]).
% 209.14/209.61 cnf('0.41.2.0',plain,
% 209.14/209.61 ( rd(op_c,rd(unit,op_c)) = mult(op_c,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_41]).
% 209.14/209.61 cnf('0.42.0.0',plain,
% 209.14/209.61 ( rd(unit,op_c) = ld(mult(op_c,op_c),op_c) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.18.2.0','0.41.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.42.1.0',plain,
% 209.14/209.61 ( rd(unit,op_c) = ld(mult(op_c,op_c),op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.42.0.0']),
% 209.14/209.61 [weight('<53,41,18,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.42.2.0',plain,
% 209.14/209.61 ( ld(mult(op_c,op_c),op_c) = rd(unit,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_42]).
% 209.14/209.61 cnf('0.43.0.0',plain,
% 209.14/209.61 ( ld(X1,X2) = rd(ld(X1,mult(X2,op_c)),op_c) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.6.2.0','0.23.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.43.1.0',plain,
% 209.14/209.61 ( ld(X1,X2) = rd(ld(X1,mult(X2,op_c)),op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.43.0.0']),
% 209.14/209.61 [weight('<87,23,6,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.43.2.0',plain,
% 209.14/209.61 ( rd(ld(X1,mult(X2,op_c)),op_c) = ld(X1,X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_43]).
% 209.14/209.61 cnf('0.44.0.0',plain,
% 209.14/209.61 ( ld(X1,unit) = rd(ld(X1,op_c),op_c) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.43.2.0','0.4.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1.2','L')]).
% 209.14/209.61 cnf('0.44.1.0',plain,
% 209.14/209.61 ( ld(X1,unit) = rd(ld(X1,op_c),op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.44.0.0']),
% 209.14/209.61 [weight('<53,43,4,[1,0,0,3]>')]).
% 209.14/209.61 cnf('0.44.2.0',plain,
% 209.14/209.61 ( rd(ld(X1,op_c),op_c) = ld(X1,unit) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_44]).
% 209.14/209.61 cnf('0.45.0.0',plain,
% 209.14/209.61 ( ld(mult(X1,op_c),X1) = rd(unit,op_c) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.43.2.0','0.15.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.45.1.0',plain,
% 209.14/209.61 ( ld(mult(X1,op_c),X1) = rd(unit,op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.45.0.0']),
% 209.14/209.61 [weight('<53,43,15,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.45.2.0',plain,
% 209.14/209.61 ( ld(mult(X1,op_c),X1) = rd(unit,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_45]).
% 209.14/209.61 cnf('0.46.0.0',plain,
% 209.14/209.61 ( ld(rd(op_c,X1),unit) = rd(X1,op_c) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.44.2.0','0.18.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.46.1.0',plain,
% 209.14/209.61 ( ld(rd(op_c,X1),unit) = rd(X1,op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.46.0.0']),
% 209.14/209.61 [weight('<53,44,18,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.46.2.0',plain,
% 209.14/209.61 ( ld(rd(op_c,X1),unit) = rd(X1,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_46]).
% 209.14/209.61 cnf('0.48.0.0',plain,
% 209.14/209.61 ( mult(X1,op_c) = rd(X1,rd(unit,op_c)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.19.2.0','0.45.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2','L')]).
% 209.14/209.61 cnf('0.48.1.0',plain,
% 209.14/209.61 ( mult(X1,op_c) = rd(X1,rd(unit,op_c)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.48.0.0']),
% 209.14/209.61 [weight('<53,45,19,[0,0,0,2]>')]).
% 209.14/209.61 cnf('0.48.2.0',plain,
% 209.14/209.61 ( rd(X1,rd(unit,op_c)) = mult(X1,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_48]).
% 209.14/209.61 cnf('0.49.0.0',plain,
% 209.14/209.61 ( rd(op_c,X1) = rd(unit,rd(X1,op_c)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.19.2.0','0.46.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2','L')]).
% 209.14/209.61 cnf('0.49.1.0',plain,
% 209.14/209.61 ( rd(op_c,X1) = rd(unit,rd(X1,op_c)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.49.0.0']),
% 209.14/209.61 [weight('<53,46,19,[0,0,0,2]>')]).
% 209.14/209.61 cnf('0.49.2.0',plain,
% 209.14/209.61 ( rd(unit,rd(X1,op_c)) = rd(op_c,X1) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_49]).
% 209.14/209.61 cnf('0.50.0.0',plain,
% 209.14/209.61 ( rd(op_c,mult(X1,op_c)) = rd(unit,X1) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.49.2.0','0.6.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2','L')]).
% 209.14/209.61 cnf('0.50.1.0',plain,
% 209.14/209.61 ( rd(op_c,mult(X1,op_c)) = rd(unit,X1) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.50.0.0']),
% 209.14/209.61 [weight('<53,49,6,[1,0,0,2]>')]).
% 209.14/209.61 cnf('0.50.2.0',plain,
% 209.14/209.61 ( rd(op_c,mult(X1,op_c)) = rd(unit,X1) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_50]).
% 209.14/209.61 cnf('0.51.0.0',plain,
% 209.14/209.61 ( mult(X1,op_c) = ld(rd(unit,X1),op_c) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.18.2.0','0.50.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.51.1.0',plain,
% 209.14/209.61 ( mult(X1,op_c) = ld(rd(unit,X1),op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.51.0.0']),
% 209.14/209.61 [weight('<53,50,18,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.51.2.0',plain,
% 209.14/209.61 ( ld(rd(unit,X1),op_c) = mult(X1,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_51]).
% 209.14/209.61 cnf('0.52.0.0',plain,
% 209.14/209.61 ( ld(X1,rd(X2,op_c)) = rd(ld(X1,X2),op_c) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.43.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1.2','L')]).
% 209.14/209.61 cnf('0.52.1.0',plain,
% 209.14/209.61 ( ld(X1,rd(X2,op_c)) = rd(ld(X1,X2),op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.52.0.0']),
% 209.14/209.61 [weight('<65,43,3,[1,0,0,3]>')]).
% 209.14/209.61 cnf('0.52.2.0',plain,
% 209.14/209.61 ( ld(X1,rd(X2,op_c)) = rd(ld(X1,X2),op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_52]).
% 209.14/209.61 cnf('0.57.0.0',plain,
% 209.14/209.61 ( mult(X1,op_c) = mult(rd(X1,rd(X2,op_c)),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.24.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2','L')]).
% 209.14/209.61 cnf('0.57.1.0',plain,
% 209.14/209.61 ( mult(X1,op_c) = mult(rd(X1,rd(X2,op_c)),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.57.0.0']),
% 209.14/209.61 [weight('<87,24,3,[1,0,0,4]>')]).
% 209.14/209.61 cnf('0.57.2.0',plain,
% 209.14/209.61 ( mult(rd(X1,rd(X2,op_c)),X2) = mult(X1,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_57]).
% 209.14/209.61 cnf('0.58.0.0',plain,
% 209.14/209.61 ( rd(X1,rd(X2,op_c)) = rd(mult(X1,op_c),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.6.2.0','0.57.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.58.1.0',plain,
% 209.14/209.61 ( rd(X1,rd(X2,op_c)) = rd(mult(X1,op_c),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.58.0.0']),
% 209.14/209.61 [weight('<65,57,6,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.58.2.0',plain,
% 209.14/209.61 ( rd(mult(X1,op_c),X2) = rd(X1,rd(X2,op_c)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_58]).
% 209.14/209.61 cnf('0.59.0.0',plain,
% 209.14/209.61 ( mult(rd(X1,mult(X2,op_c)),X2) = rd(X1,op_c) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.25.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.59.1.0',plain,
% 209.14/209.61 ( mult(rd(X1,mult(X2,op_c)),X2) = rd(X1,op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.59.0.0']),
% 209.14/209.61 [weight('<87,25,3,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.59.2.0',plain,
% 209.14/209.61 ( mult(rd(X1,mult(X2,op_c)),X2) = rd(X1,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_59]).
% 209.14/209.61 cnf('0.60.0.0',plain,
% 209.14/209.61 ( rd(X1,mult(X2,op_c)) = rd(rd(X1,op_c),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.6.2.0','0.59.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.60.1.0',plain,
% 209.14/209.61 ( rd(X1,mult(X2,op_c)) = rd(rd(X1,op_c),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.60.0.0']),
% 209.14/209.61 [weight('<65,59,6,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.60.2.0',plain,
% 209.14/209.61 ( rd(rd(X1,op_c),X2) = rd(X1,mult(X2,op_c)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_60]).
% 209.14/209.61 cnf('0.62.0.0',plain,
% 209.14/209.61 ( rd(X1,op_c) = rd(mult(X1,ld(op_c,X2)),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.6.2.0','0.30.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.62.1.0',plain,
% 209.14/209.61 ( rd(X1,op_c) = rd(mult(X1,ld(op_c,X2)),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.62.0.0']),
% 209.14/209.61 [weight('<87,30,6,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.62.2.0',plain,
% 209.14/209.61 ( rd(mult(X1,ld(op_c,X2)),X2) = rd(X1,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_62]).
% 209.14/209.61 cnf('0.63.0.0',plain,
% 209.14/209.61 ( rd(unit,op_c) = rd(ld(op_c,X1),X1) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.62.2.0','0.4.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.63.1.0',plain,
% 209.14/209.61 ( rd(unit,op_c) = rd(ld(op_c,X1),X1) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.63.0.0']),
% 209.14/209.61 [weight('<53,62,4,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.63.2.0',plain,
% 209.14/209.61 ( rd(ld(op_c,X1),X1) = rd(unit,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_63]).
% 209.14/209.61 cnf('0.66.0.0',plain,
% 209.14/209.61 ( mult(X1,op_c) = rd(mult(X1,X2),ld(op_c,X2)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.34.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1.2','L')]).
% 209.14/209.61 cnf('0.66.1.0',plain,
% 209.14/209.61 ( mult(X1,op_c) = rd(mult(X1,X2),ld(op_c,X2)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.66.0.0']),
% 209.14/209.61 [weight('<87,34,1,[1,0,0,3]>')]).
% 209.14/209.61 cnf('0.66.2.0',plain,
% 209.14/209.61 ( rd(mult(X1,X2),ld(op_c,X2)) = mult(X1,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_66]).
% 209.14/209.61 cnf('0.67.0.0',plain,
% 209.14/209.61 ( mult(rd(X1,X2),op_c) = rd(X1,ld(op_c,X2)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.66.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.67.1.0',plain,
% 209.14/209.61 ( mult(rd(X1,X2),op_c) = rd(X1,ld(op_c,X2)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.67.0.0']),
% 209.14/209.61 [weight('<65,66,3,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.67.2.0',plain,
% 209.14/209.61 ( mult(rd(X1,X2),op_c) = rd(X1,ld(op_c,X2)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_67]).
% 209.14/209.61 cnf('0.68.0.0',plain,
% 209.14/209.61 ( ld(op_c,X1) = rd(ld(op_c,mult(X1,X2)),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.6.2.0','0.38.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.68.1.0',plain,
% 209.14/209.61 ( ld(op_c,X1) = rd(ld(op_c,mult(X1,X2)),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.68.0.0']),
% 209.14/209.61 [weight('<87,38,6,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.68.2.0',plain,
% 209.14/209.61 ( rd(ld(op_c,mult(X1,X2)),X2) = ld(op_c,X1) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_68]).
% 209.14/209.61 cnf('0.69.0.0',plain,
% 209.14/209.61 ( ld(op_c,rd(X1,X2)) = rd(ld(op_c,X1),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.68.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1.2','L')]).
% 209.14/209.61 cnf('0.69.1.0',plain,
% 209.14/209.61 ( ld(op_c,rd(X1,X2)) = rd(ld(op_c,X1),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.69.0.0']),
% 209.14/209.61 [weight('<65,68,3,[1,0,0,3]>')]).
% 209.14/209.61 cnf('0.69.2.0',plain,
% 209.14/209.61 ( ld(op_c,rd(X1,X2)) = rd(ld(op_c,X1),X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_69]).
% 209.14/209.61 cnf('0.70.0.0',plain,
% 209.14/209.61 ( mult(op_c,X1) = rd(mult(op_c,X2),ld(X1,X2)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.39.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1.2','L')]).
% 209.14/209.61 cnf('0.70.1.0',plain,
% 209.14/209.61 ( mult(op_c,X1) = rd(mult(op_c,X2),ld(X1,X2)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.70.0.0']),
% 209.14/209.61 [weight('<87,39,1,[1,0,0,3]>')]).
% 209.14/209.61 cnf('0.70.2.0',plain,
% 209.14/209.61 ( rd(mult(op_c,X1),ld(X2,X1)) = mult(op_c,X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_70]).
% 209.14/209.61 cnf('0.71.0.0',plain,
% 209.14/209.61 ( mult(op_c,X1) = rd(op_c,ld(X1,unit)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.70.2.0','0.2.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.71.1.0',plain,
% 209.14/209.61 ( mult(op_c,X1) = rd(op_c,ld(X1,unit)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.71.0.0']),
% 209.14/209.61 [weight('<53,70,2,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.71.2.0',plain,
% 209.14/209.61 ( rd(op_c,ld(X1,unit)) = mult(op_c,X1) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_71]).
% 209.14/209.61 cnf('0.77.0.0',plain,
% 209.14/209.61 ( rd(rd(X1,ld(op_c,X2)),op_c) = rd(X1,X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.62.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.77.1.0',plain,
% 209.14/209.61 ( rd(rd(X1,ld(op_c,X2)),op_c) = rd(X1,X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.77.0.0']),
% 209.14/209.61 [weight('<87,62,3,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.77.2.0',plain,
% 209.14/209.61 ( rd(rd(X1,ld(op_c,X2)),op_c) = rd(X1,X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_77]).
% 209.14/209.61 cnf('0.78.0.0',plain,
% 209.14/209.61 ( rd(X1,mult(op_c,X2)) = rd(rd(X1,X2),op_c) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.77.2.0','0.5.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1.2','L')]).
% 209.14/209.61 cnf('0.78.1.0',plain,
% 209.14/209.61 ( rd(X1,mult(op_c,X2)) = rd(rd(X1,X2),op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.78.0.0']),
% 209.14/209.61 [weight('<65,77,5,[1,0,0,3]>')]).
% 209.14/209.61 cnf('0.78.2.0',plain,
% 209.14/209.61 ( rd(rd(X1,X2),op_c) = rd(X1,mult(op_c,X2)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_78]).
% 209.14/209.61 cnf('0.80.0.0',plain,
% 209.14/209.61 ( mult(X1,op_c) = rd(X2,ld(op_c,ld(X1,X2))) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.66.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.80.1.0',plain,
% 209.14/209.61 ( mult(X1,op_c) = rd(X2,ld(op_c,ld(X1,X2))) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.80.0.0']),
% 209.14/209.61 [weight('<87,66,1,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.80.2.0',plain,
% 209.14/209.61 ( rd(X1,ld(op_c,ld(X2,X1))) = mult(X2,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_80]).
% 209.14/209.61 cnf('0.81.0.0',plain,
% 209.14/209.61 ( ld(op_c,ld(X1,X2)) = ld(mult(X1,op_c),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.18.2.0','0.80.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.81.1.0',plain,
% 209.14/209.61 ( ld(op_c,ld(X1,X2)) = ld(mult(X1,op_c),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.81.0.0']),
% 209.14/209.61 [weight('<65,80,18,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.81.2.0',plain,
% 209.14/209.61 ( ld(mult(X1,op_c),X2) = ld(op_c,ld(X1,X2)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_81]).
% 209.14/209.61 cnf('0.82.0.0',plain,
% 209.14/209.61 ( ld(op_c,X1) = rd(ld(op_c,X2),ld(X1,X2)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.68.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1.2','L')]).
% 209.14/209.61 cnf('0.82.1.0',plain,
% 209.14/209.61 ( ld(op_c,X1) = rd(ld(op_c,X2),ld(X1,X2)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.82.0.0']),
% 209.14/209.61 [weight('<87,68,1,[1,0,0,3]>')]).
% 209.14/209.61 cnf('0.82.2.0',plain,
% 209.14/209.61 ( rd(ld(op_c,X1),ld(X2,X1)) = ld(op_c,X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_82]).
% 209.14/209.61 cnf('0.83.0.0',plain,
% 209.14/209.61 ( mult(op_c,X1) = rd(X2,ld(X1,ld(op_c,X2))) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.70.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.83.1.0',plain,
% 209.14/209.61 ( mult(op_c,X1) = rd(X2,ld(X1,ld(op_c,X2))) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.83.0.0']),
% 209.14/209.61 [weight('<87,70,1,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.83.2.0',plain,
% 209.14/209.61 ( rd(X1,ld(X2,ld(op_c,X1))) = mult(op_c,X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_83]).
% 209.14/209.61 cnf('0.84.0.0',plain,
% 209.14/209.61 ( ld(X1,ld(op_c,X2)) = ld(mult(op_c,X1),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.18.2.0','0.83.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.84.1.0',plain,
% 209.14/209.61 ( ld(X1,ld(op_c,X2)) = ld(mult(op_c,X1),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.84.0.0']),
% 209.14/209.61 [weight('<65,83,18,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.84.2.0',plain,
% 209.14/209.61 ( ld(mult(op_c,X1),X2) = ld(X1,ld(op_c,X2)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_84]).
% 209.14/209.61 cnf('0.86.0.0',plain,
% 209.14/209.61 ( rd(X1,mult(op_c,ld(X2,X1))) = rd(X2,op_c) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.78.2.0','0.19.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.86.1.0',plain,
% 209.14/209.61 ( rd(X1,mult(op_c,ld(X2,X1))) = rd(X2,op_c) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.86.0.0']),
% 209.14/209.61 [weight('<87,78,19,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.86.2.0',plain,
% 209.14/209.61 ( rd(X1,mult(op_c,ld(X2,X1))) = rd(X2,op_c) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_86]).
% 209.14/209.61 cnf('0.87.0.0',plain,
% 209.14/209.61 ( mult(op_c,ld(X1,X2)) = ld(rd(X1,op_c),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.18.2.0','0.86.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.87.1.0',plain,
% 209.14/209.61 ( mult(op_c,ld(X1,X2)) = ld(rd(X1,op_c),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.87.0.0']),
% 209.14/209.61 [weight('<65,86,18,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.87.2.0',plain,
% 209.14/209.61 ( mult(op_c,ld(X1,X2)) = ld(rd(X1,op_c),X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_87]).
% 209.14/209.61 cnf('0.89.0.0',plain,
% 209.14/209.61 ( ld(op_c,ld(rd(X1,op_c),X2)) = ld(X1,X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.81.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.89.1.0',plain,
% 209.14/209.61 ( ld(op_c,ld(rd(X1,op_c),X2)) = ld(X1,X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.89.0.0']),
% 209.14/209.61 [weight('<87,81,3,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.89.2.0',plain,
% 209.14/209.61 ( ld(op_c,ld(rd(X1,op_c),X2)) = ld(X1,X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_89]).
% 209.14/209.61 cnf('0.90.0.0',plain,
% 209.14/209.61 ( ld(op_c,X1) = rd(X2,ld(X1,mult(op_c,X2))) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.82.2.0','0.5.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.90.1.0',plain,
% 209.14/209.61 ( ld(op_c,X1) = rd(X2,ld(X1,mult(op_c,X2))) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.90.0.0']),
% 209.14/209.61 [weight('<87,82,5,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.90.2.0',plain,
% 209.14/209.61 ( rd(X1,ld(X2,mult(op_c,X1))) = ld(op_c,X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_90]).
% 209.14/209.61 cnf('0.91.0.0',plain,
% 209.14/209.61 ( ld(X1,mult(op_c,X2)) = ld(ld(op_c,X1),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.18.2.0','0.90.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.91.1.0',plain,
% 209.14/209.61 ( ld(X1,mult(op_c,X2)) = ld(ld(op_c,X1),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.91.0.0']),
% 209.14/209.61 [weight('<65,90,18,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.91.2.0',plain,
% 209.14/209.61 ( ld(ld(op_c,X1),X2) = ld(X1,mult(op_c,X2)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.91.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_91]).
% 209.14/209.61 cnf('0.99.0.0',plain,
% 209.14/209.61 ( mult(ld(X1,op_c),ld(op_c,X2)) = mult(ld(X1,unit),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.30.2.0','0.44.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.99.1.0',plain,
% 209.14/209.61 ( mult(ld(X1,op_c),ld(op_c,X2)) = mult(ld(X1,unit),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.99.0.0']),
% 209.14/209.61 [weight('<103,44,30,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.99.2.0',plain,
% 209.14/209.61 ( mult(ld(X1,op_c),ld(op_c,X2)) = mult(ld(X1,unit),X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_99]).
% 209.14/209.61 cnf('0.103.0.0',plain,
% 209.14/209.61 ( rd(ld(X1,ld(X2,op_c)),op_c) = ld(X1,ld(X2,unit)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.52.2.0','0.44.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2','L')]).
% 209.14/209.61 cnf('0.103.1.0',plain,
% 209.14/209.61 ( rd(ld(X1,ld(X2,op_c)),op_c) = ld(X1,ld(X2,unit)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.103.0.0']),
% 209.14/209.61 [weight('<103,52,44,[1,0,0,2]>')]).
% 209.14/209.61 cnf('0.103.2.0',plain,
% 209.14/209.61 ( rd(ld(X1,ld(X2,op_c)),op_c) = ld(X1,ld(X2,unit)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_103]).
% 209.14/209.61 cnf('0.107.0.0',plain,
% 209.14/209.61 ( rd(ld(X1,op_c),mult(X2,op_c)) = rd(ld(X1,unit),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.60.2.0','0.44.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.107.1.0',plain,
% 209.14/209.61 ( rd(ld(X1,op_c),mult(X2,op_c)) = rd(ld(X1,unit),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.107.0.0']),
% 209.14/209.61 [weight('<103,60,44,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.107.2.0',plain,
% 209.14/209.61 ( rd(ld(X1,op_c),mult(X2,op_c)) = rd(ld(X1,unit),X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_107]).
% 209.14/209.61 cnf('0.108.0.0',plain,
% 209.14/209.61 ( mult(X1,mult(ld(X1,X2),X3)) = mult(rd(X2,X1),mult(X1,X3)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1.1','L')]).
% 209.14/209.61 cnf('0.108.1.0',plain,
% 209.14/209.61 ( mult(X1,mult(ld(X1,X2),X3)) = mult(rd(X2,X1),mult(X1,X3)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.108.0.0']),
% 209.14/209.61 [weight('<?,7,1,[1,0,0,2]>')]).
% 209.14/209.61 cnf('0.108.2.0',plain,
% 209.14/209.61 ( mult(rd(X1,X2),mult(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_108]).
% 209.14/209.61 cnf('0.109.0.0',plain,
% 209.14/209.61 ( rd(unit,rd(X1,X2)) = rd(op_c,rd(X1,ld(op_c,X2))) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.50.2.0','0.67.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2','L')]).
% 209.14/209.61 cnf('0.109.1.0',plain,
% 209.14/209.61 ( rd(unit,rd(X1,X2)) = rd(op_c,rd(X1,ld(op_c,X2))) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.109.0.0']),
% 209.14/209.61 [weight('<103,67,50,[0,0,0,2]>')]).
% 209.14/209.61 cnf('0.109.2.0',plain,
% 209.14/209.61 ( rd(op_c,rd(X1,ld(op_c,X2))) = rd(unit,rd(X1,X2)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_109]).
% 209.14/209.61 cnf('0.123.0.0',plain,
% 209.14/209.61 ( rd(ld(X1,unit),rd(X2,op_c)) = rd(ld(X1,op_c),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.107.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2','L')]).
% 209.14/209.61 cnf('0.123.1.0',plain,
% 209.14/209.61 ( rd(ld(X1,unit),rd(X2,op_c)) = rd(ld(X1,op_c),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.123.0.0']),
% 209.14/209.61 [weight('<103,107,3,[1,0,0,4]>')]).
% 209.14/209.61 cnf('0.123.2.0',plain,
% 209.14/209.61 ( rd(ld(X1,unit),rd(X2,op_c)) = rd(ld(X1,op_c),X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.123.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_123]).
% 209.14/209.61 cnf('0.138.0.0',plain,
% 209.14/209.61 ( asoc(X1,X2,ld(X2,mult(X3,X2))) = ld(mult(X1,mult(X2,ld(X2,mult(X3,X2)))),mult(mult(X1,X3),X2)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.12.2.0','0.10.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2','L')]).
% 209.14/209.61 cnf('0.138.0.1',plain,
% 209.14/209.61 ( asoc(X1,X2,ld(X2,mult(X3,X2))) = ld(mult(X1,mult(X3,X2)),mult(mult(X1,X3),X2)) ),
% 209.14/209.61 inference(reduction,[status(thm)],['0.138.0.0','0.1.2.0',theory(equality)]),
% 209.14/209.61 [pos('R.1.2','L')]).
% 209.14/209.61 cnf('0.138.0.2',plain,
% 209.14/209.61 ( asoc(X1,X2,ld(X2,mult(X3,X2))) = asoc(X1,X3,X2) ),
% 209.14/209.61 inference(reduction,[status(thm)],['0.138.0.1','0.12.2.0',theory(equality)]),
% 209.14/209.61 [pos('R','L')]).
% 209.14/209.61 cnf('0.138.1.0',plain,
% 209.14/209.61 ( asoc(X1,X2,ld(X2,mult(X3,X2))) = asoc(X1,X3,X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.138.0.2']),
% 209.14/209.61 [weight('<116,12,10,[1,0,0,6]>')]).
% 209.14/209.61 cnf('0.138.2.0',plain,
% 209.14/209.61 ( asoc(X1,X2,ld(X2,mult(X3,X2))) = asoc(X1,X3,X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.138.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_138]).
% 209.14/209.61 cnf('0.139.0.0',plain,
% 209.14/209.61 ( asoc(X1,rd(X2,X3),X3) = asoc(X1,X3,ld(X3,X2)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.138.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.3.2','L')]).
% 209.14/209.61 cnf('0.139.1.0',plain,
% 209.14/209.61 ( asoc(X1,rd(X2,X3),X3) = asoc(X1,X3,ld(X3,X2)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.139.0.0']),
% 209.14/209.61 [weight('<90,138,3,[1,0,0,5]>')]).
% 209.14/209.61 cnf('0.139.2.0',plain,
% 209.14/209.61 ( asoc(X1,rd(X2,X3),X3) = asoc(X1,X3,ld(X3,X2)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.139.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_139]).
% 209.14/209.61 cnf('0.147.0.0',plain,
% 209.14/209.61 ( mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.10.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.147.1.0',plain,
% 209.14/209.61 ( mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.147.0.0']),
% 209.14/209.61 [weight('<119,10,3,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.147.2.0',plain,
% 209.14/209.61 ( mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_147]).
% 209.14/209.61 cnf('0.148.0.0',plain,
% 209.14/209.61 ( mult(mult(X1,rd(X2,X3)),X3) = mult(mult(X1,X3),ld(X3,X2)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.10.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2.2','L')]).
% 209.14/209.61 cnf('0.148.1.0',plain,
% 209.14/209.61 ( mult(mult(X1,rd(X2,X3)),X3) = mult(mult(X1,X3),ld(X3,X2)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.148.0.0']),
% 209.14/209.61 [weight('<119,10,3,[1,0,0,6]>')]).
% 209.14/209.61 cnf('0.148.2.0',plain,
% 209.14/209.61 ( mult(mult(X1,rd(X2,X3)),X3) = mult(mult(X1,X3),ld(X3,X2)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.148.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_148]).
% 209.14/209.61 cnf('0.150.0.0',plain,
% 209.14/209.61 ( mult(ld(X1,X2),mult(op_c,X3)) = mult(ld(X1,mult(X2,op_c)),X3) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.9.2.0','0.23.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.150.1.0',plain,
% 209.14/209.61 ( mult(ld(X1,X2),mult(op_c,X3)) = mult(ld(X1,mult(X2,op_c)),X3) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.150.0.0']),
% 209.14/209.61 [weight('<119,23,9,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.150.2.0',plain,
% 209.14/209.61 ( mult(ld(X1,mult(X2,op_c)),X3) = mult(ld(X1,X2),mult(op_c,X3)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.150.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_150]).
% 209.14/209.61 cnf('0.151.0.0',plain,
% 209.14/209.61 ( mult(op_c,mult(rd(X1,X2),X3)) = mult(rd(mult(op_c,X1),X2),X3) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.11.2.0','0.40.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.151.1.0',plain,
% 209.14/209.61 ( mult(op_c,mult(rd(X1,X2),X3)) = mult(rd(mult(op_c,X1),X2),X3) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.151.0.0']),
% 209.14/209.61 [weight('<119,40,11,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.151.2.0',plain,
% 209.14/209.61 ( mult(rd(mult(op_c,X1),X2),X3) = mult(op_c,mult(rd(X1,X2),X3)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.151.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_151]).
% 209.14/209.61 cnf('0.152.0.0',plain,
% 209.14/209.61 ( mult(op_c,mult(rd(unit,X1),X2)) = mult(rd(op_c,X1),X2) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.151.2.0','0.2.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1.1','L')]).
% 209.14/209.61 cnf('0.152.1.0',plain,
% 209.14/209.61 ( mult(op_c,mult(rd(unit,X1),X2)) = mult(rd(op_c,X1),X2) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.152.0.0']),
% 209.14/209.61 [weight('<103,151,2,[1,0,0,2]>')]).
% 209.14/209.61 cnf('0.152.2.0',plain,
% 209.14/209.61 ( mult(op_c,mult(rd(unit,X1),X2)) = mult(rd(op_c,X1),X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 209.14/209.61 [u,rule_152]).
% 209.14/209.61 cnf('0.153.0.0',plain,
% 209.14/209.61 ( mult(rd(unit,X1),X2) = ld(op_c,mult(rd(op_c,X1),X2)) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.5.2.0','0.152.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.2','L')]).
% 209.14/209.61 cnf('0.153.1.0',plain,
% 209.14/209.61 ( mult(rd(unit,X1),X2) = ld(op_c,mult(rd(op_c,X1),X2)) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.153.0.0']),
% 209.14/209.61 [weight('<103,152,5,[0,0,0,2]>')]).
% 209.14/209.61 cnf('0.153.2.0',plain,
% 209.14/209.61 ( ld(op_c,mult(rd(op_c,X1),X2)) = mult(rd(unit,X1),X2) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_153]).
% 209.14/209.61 cnf('0.156.0.0',plain,
% 209.14/209.61 ( rd(ld(X1,X2),rd(X3,op_c)) = rd(ld(X1,mult(X2,op_c)),X3) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.58.2.0','0.23.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.156.1.0',plain,
% 209.14/209.61 ( rd(ld(X1,X2),rd(X3,op_c)) = rd(ld(X1,mult(X2,op_c)),X3) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.156.0.0']),
% 209.14/209.61 [weight('<119,58,23,[1,0,0,1]>')]).
% 209.14/209.61 cnf('0.156.2.0',plain,
% 209.14/209.61 ( rd(ld(X1,mult(X2,op_c)),X3) = rd(ld(X1,X2),rd(X3,op_c)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.156.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_156]).
% 209.14/209.61 cnf('0.162.0.0',plain,
% 209.14/209.61 ( mult(rd(X1,X2),mult(op_c,X3)) = mult(rd(X1,ld(op_c,X2)),X3) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.9.2.0','0.67.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.162.1.0',plain,
% 209.14/209.61 ( mult(rd(X1,X2),mult(op_c,X3)) = mult(rd(X1,ld(op_c,X2)),X3) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.162.0.0']),
% 209.14/209.61 [weight('<119,67,9,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.162.2.0',plain,
% 209.14/209.61 ( mult(rd(X1,ld(op_c,X2)),X3) = mult(rd(X1,X2),mult(op_c,X3)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.162.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_162]).
% 209.14/209.61 cnf('0.164.0.0',plain,
% 209.14/209.61 ( ld(op_c,mult(rd(X1,X2),X3)) = mult(rd(ld(op_c,X1),X2),X3) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.38.2.0','0.69.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.164.1.0',plain,
% 209.14/209.61 ( ld(op_c,mult(rd(X1,X2),X3)) = mult(rd(ld(op_c,X1),X2),X3) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.164.0.0']),
% 209.14/209.61 [weight('<119,69,38,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.164.2.0',plain,
% 209.14/209.61 ( mult(rd(ld(op_c,X1),X2),X3) = ld(op_c,mult(rd(X1,X2),X3)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.164.1.0',theory(equality)]),
% 209.14/209.61 [x,rule_164]).
% 209.14/209.61 cnf('0.166.0.0',plain,
% 209.14/209.61 ( mult(rd(X1,X2),ld(op_c,X3)) = mult(rd(X1,mult(op_c,X2)),X3) ),
% 209.14/209.61 inference(cp,[status(thm)],['0.30.2.0','0.78.2.0',theory(equality)]),
% 209.14/209.61 [pos('L.1','L')]).
% 209.14/209.61 cnf('0.166.1.0',plain,
% 209.14/209.61 ( mult(rd(X1,X2),ld(op_c,X3)) = mult(rd(X1,mult(op_c,X2)),X3) ),
% 209.14/209.61 inference(weigh,[status(thm)],['0.166.0.0']),
% 209.14/209.61 [weight('<119,78,30,[0,0,0,1]>')]).
% 209.14/209.61 cnf('0.166.2.0',plain,
% 209.14/209.61 ( mult(rd(X1,mult(op_c,X2)),X3) = mult(rd(X1,X2),ld(op_c,X3)) ),
% 209.14/209.61 inference(orient,[status(thm)],['0.166.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_166]).
% 209.14/209.62 cnf('0.171.0.0',plain,
% 209.14/209.62 ( ld(op_c,ld(mult(X1,X2),X3)) = ld(mult(X1,mult(X2,op_c)),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.81.2.0','0.8.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.171.1.0',plain,
% 209.14/209.62 ( ld(op_c,ld(mult(X1,X2),X3)) = ld(mult(X1,mult(X2,op_c)),X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.171.0.0']),
% 209.14/209.62 [weight('<119,81,8,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.171.2.0',plain,
% 209.14/209.62 ( ld(mult(X1,mult(X2,op_c)),X3) = ld(op_c,ld(mult(X1,X2),X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.171.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_171]).
% 209.14/209.62 cnf('0.172.0.0',plain,
% 209.14/209.62 ( ld(op_c,ld(mult(op_c,rd(unit,X1)),X2)) = ld(mult(rd(op_c,X1),op_c),X2) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.171.2.0','0.152.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.172.0.1',plain,
% 209.14/209.62 ( ld(op_c,ld(rd(unit,X1),ld(op_c,X2))) = ld(mult(rd(op_c,X1),op_c),X2) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.172.0.0','0.84.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.172.0.2',plain,
% 209.14/209.62 ( ld(op_c,ld(rd(unit,X1),ld(op_c,X2))) = ld(op_c,ld(rd(op_c,X1),X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.172.0.1','0.81.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.172.1.0',plain,
% 209.14/209.62 ( ld(rd(unit,X1),ld(op_c,X2)) = ld(rd(op_c,X1),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.172.0.2']),
% 209.14/209.62 [weight('<103,171,152,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.172.2.0',plain,
% 209.14/209.62 ( ld(rd(unit,X1),ld(op_c,X2)) = ld(rd(op_c,X1),X2) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.172.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_172]).
% 209.14/209.62 cnf('0.173.0.0',plain,
% 209.14/209.62 ( ld(rd(op_c,X1),mult(op_c,X2)) = ld(rd(unit,X1),X2) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.172.2.0','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.173.1.0',plain,
% 209.14/209.62 ( ld(rd(op_c,X1),mult(op_c,X2)) = ld(rd(unit,X1),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.173.0.0']),
% 209.14/209.62 [weight('<103,172,5,[1,0,0,4]>')]).
% 209.14/209.62 cnf('0.173.2.0',plain,
% 209.14/209.62 ( ld(rd(op_c,X1),mult(op_c,X2)) = ld(rd(unit,X1),X2) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.173.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_173]).
% 209.14/209.62 cnf('0.177.0.0',plain,
% 209.14/209.62 ( ld(rd(X1,X2),ld(op_c,X3)) = ld(rd(mult(op_c,X1),X2),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.84.2.0','0.40.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.177.1.0',plain,
% 209.14/209.62 ( ld(rd(X1,X2),ld(op_c,X3)) = ld(rd(mult(op_c,X1),X2),X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.177.0.0']),
% 209.14/209.62 [weight('<119,84,40,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.177.2.0',plain,
% 209.14/209.62 ( ld(rd(mult(op_c,X1),X2),X3) = ld(rd(X1,X2),ld(op_c,X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.177.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_177]).
% 209.14/209.62 cnf('0.178.0.0',plain,
% 209.14/209.62 ( mult(op_c,mult(ld(X1,X2),X3)) = mult(ld(rd(X1,op_c),X2),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.11.2.0','0.87.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.178.1.0',plain,
% 209.14/209.62 ( mult(op_c,mult(ld(X1,X2),X3)) = mult(ld(rd(X1,op_c),X2),X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.178.0.0']),
% 209.14/209.62 [weight('<119,87,11,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.178.2.0',plain,
% 209.14/209.62 ( mult(ld(rd(X1,op_c),X2),X3) = mult(op_c,mult(ld(X1,X2),X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.178.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_178]).
% 209.14/209.62 cnf('0.181.0.0',plain,
% 209.14/209.62 ( ld(rd(X1,X2),mult(op_c,X3)) = ld(rd(ld(op_c,X1),X2),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.91.2.0','0.69.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.181.1.0',plain,
% 209.14/209.62 ( ld(rd(X1,X2),mult(op_c,X3)) = ld(rd(ld(op_c,X1),X2),X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.181.0.0']),
% 209.14/209.62 [weight('<119,91,69,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.181.2.0',plain,
% 209.14/209.62 ( ld(rd(ld(op_c,X1),X2),X3) = ld(rd(X1,X2),mult(op_c,X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.181.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_181]).
% 209.14/209.62 cnf('0.191.0.0',plain,
% 209.14/209.62 ( mult(X1,op_c) = mult(rd(X1,ld(X2,unit)),ld(X2,op_c)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.57.2.0','0.44.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.191.1.0',plain,
% 209.14/209.62 ( mult(X1,op_c) = mult(rd(X1,ld(X2,unit)),ld(X2,op_c)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.191.0.0']),
% 209.14/209.62 [weight('<129,57,44,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.191.2.0',plain,
% 209.14/209.62 ( mult(rd(X1,ld(X2,unit)),ld(X2,op_c)) = mult(X1,op_c) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.191.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_191]).
% 209.14/209.62 cnf('0.200.0.0',plain,
% 209.14/209.62 ( mult(X1,op_c) = ld(rd(ld(X2,unit),X1),ld(X2,op_c)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.18.2.0','0.107.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.200.1.0',plain,
% 209.14/209.62 ( mult(X1,op_c) = ld(rd(ld(X2,unit),X1),ld(X2,op_c)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.200.0.0']),
% 209.14/209.62 [weight('<129,107,18,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.200.2.0',plain,
% 209.14/209.62 ( ld(rd(ld(X1,unit),X2),ld(X1,op_c)) = mult(X2,op_c) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.200.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_200]).
% 209.14/209.62 cnf('0.204.0.0',plain,
% 209.14/209.62 ( mult(rd(unit,X1),ld(rd(op_c,X1),X2)) = ld(op_c,X2) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.153.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.204.1.0',plain,
% 209.14/209.62 ( mult(rd(unit,X1),ld(rd(op_c,X1),X2)) = ld(op_c,X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.204.0.0']),
% 209.14/209.62 [weight('<129,153,1,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.204.2.0',plain,
% 209.14/209.62 ( mult(rd(unit,X1),ld(rd(op_c,X1),X2)) = ld(op_c,X2) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.204.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_204]).
% 209.14/209.62 cnf('0.216.0.0',plain,
% 209.14/209.62 ( asoc(ld(X1,op_c),ld(op_c,X2),X3) = ld(mult(ld(X1,op_c),mult(ld(op_c,X2),X3)),mult(mult(ld(X1,unit),X2),X3)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.12.2.0','0.99.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.216.0.1',plain,
% 209.14/209.62 ( asoc(ld(X1,op_c),ld(op_c,X2),X3) = ld(mult(ld(X1,op_c),ld(op_c,mult(X2,X3))),mult(mult(ld(X1,unit),X2),X3)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.216.0.0','0.38.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1.2','L')]).
% 209.14/209.62 cnf('0.216.0.2',plain,
% 209.14/209.62 ( asoc(ld(X1,op_c),ld(op_c,X2),X3) = ld(mult(ld(X1,unit),mult(X2,X3)),mult(mult(ld(X1,unit),X2),X3)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.216.0.1','0.99.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1','L')]).
% 209.14/209.62 cnf('0.216.0.3',plain,
% 209.14/209.62 ( asoc(ld(X1,op_c),ld(op_c,X2),X3) = asoc(ld(X1,unit),X2,X3) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.216.0.2','0.12.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.216.1.0',plain,
% 209.14/209.62 ( asoc(ld(X1,op_c),ld(op_c,X2),X3) = asoc(ld(X1,unit),X2,X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.216.0.3']),
% 209.14/209.62 [weight('<134,99,12,[0,0,0,7]>')]).
% 209.14/209.62 cnf('0.216.2.0',plain,
% 209.14/209.62 ( asoc(ld(X1,op_c),ld(op_c,X2),X3) = asoc(ld(X1,unit),X2,X3) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.216.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_216]).
% 209.14/209.62 cnf('0.220.0.0',plain,
% 209.14/209.62 ( asoc(ld(rd(op_c,X1),unit),X2,X3) = asoc(X1,ld(op_c,X2),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.216.2.0','0.18.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.220.0.1',plain,
% 209.14/209.62 ( asoc(rd(X1,op_c),X2,X3) = asoc(X1,ld(op_c,X2),X3) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.220.0.0','0.46.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.220.1.0',plain,
% 209.14/209.62 ( asoc(rd(X1,op_c),X2,X3) = asoc(X1,ld(op_c,X2),X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.220.0.1']),
% 209.14/209.62 [weight('<90,216,18,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.220.2.0',plain,
% 209.14/209.62 ( asoc(rd(X1,op_c),X2,X3) = asoc(X1,ld(op_c,X2),X3) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.220.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_220]).
% 209.14/209.62 cnf('0.221.0.0',plain,
% 209.14/209.62 ( asoc(ld(rd(unit,X1),unit),X2,X3) = asoc(mult(X1,op_c),ld(op_c,X2),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.216.2.0','0.51.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.221.0.1',plain,
% 209.14/209.62 ( asoc(X1,X2,X3) = asoc(mult(X1,op_c),ld(op_c,X2),X3) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.221.0.0','0.18.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.221.1.0',plain,
% 209.14/209.62 ( asoc(X1,X2,X3) = asoc(mult(X1,op_c),ld(op_c,X2),X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.221.0.1']),
% 209.14/209.62 [weight('<116,216,51,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.221.2.0',plain,
% 209.14/209.62 ( asoc(mult(X1,op_c),ld(op_c,X2),X3) = asoc(X1,X2,X3) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.221.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_221]).
% 209.14/209.62 cnf('0.222.0.0',plain,
% 209.14/209.62 ( asoc(X1,mult(op_c,X2),X3) = asoc(mult(X1,op_c),X2,X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.221.2.0','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.222.1.0',plain,
% 209.14/209.62 ( asoc(X1,mult(op_c,X2),X3) = asoc(mult(X1,op_c),X2,X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.222.0.0']),
% 209.14/209.62 [weight('<90,221,5,[1,0,0,4]>')]).
% 209.14/209.62 cnf('0.222.2.0',plain,
% 209.14/209.62 ( asoc(mult(X1,op_c),X2,X3) = asoc(X1,mult(op_c,X2),X3) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.222.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_222]).
% 209.14/209.62 cnf('0.238.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(X2,X1)) = ld(mult(X3,X1),mult(mult(X3,X2),X1)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.5.2.0','0.10.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.238.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(X2,X1)) = ld(mult(X3,X1),mult(mult(X3,X2),X1)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.238.0.0']),
% 209.14/209.62 [weight('<149,10,5,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.238.2.0',plain,
% 209.14/209.62 ( ld(mult(X1,X2),mult(mult(X1,X3),X2)) = ld(X2,mult(X3,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.238.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_238]).
% 209.14/209.62 cnf('0.239.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(ld(X2,X3),X1)) = ld(mult(X2,X1),mult(X3,X1)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.238.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.239.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(ld(X2,X3),X1)) = ld(mult(X2,X1),mult(X3,X1)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.239.0.0']),
% 209.14/209.62 [weight('<119,238,1,[1,0,0,5]>')]).
% 209.14/209.62 cnf('0.239.2.0',plain,
% 209.14/209.62 ( ld(mult(X1,X2),mult(X3,X2)) = ld(X2,mult(ld(X1,X3),X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.239.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_239]).
% 209.14/209.62 cnf('0.240.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(ld(X2,unit),X1)) = ld(mult(X2,X1),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.239.2.0','0.4.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.240.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(ld(X2,unit),X1)) = ld(mult(X2,X1),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.240.0.0']),
% 209.14/209.62 [weight('<103,239,4,[1,0,0,4]>')]).
% 209.14/209.62 cnf('0.240.2.0',plain,
% 209.14/209.62 ( ld(X1,mult(ld(X2,unit),X1)) = ld(mult(X2,X1),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.240.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_240]).
% 209.14/209.62 cnf('0.241.0.0',plain,
% 209.14/209.62 ( mult(ld(X1,unit),X2) = mult(X2,ld(mult(X1,X2),X2)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.1.2.0','0.240.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.241.1.0',plain,
% 209.14/209.62 ( mult(ld(X1,unit),X2) = mult(X2,ld(mult(X1,X2),X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.241.0.0']),
% 209.14/209.62 [weight('<103,240,1,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.241.2.0',plain,
% 209.14/209.62 ( mult(X1,ld(mult(X2,X1),X1)) = mult(ld(X2,unit),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.241.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_241]).
% 209.14/209.62 cnf('0.242.0.0',plain,
% 209.14/209.62 ( ld(mult(rd(unit,X1),X2),X2) = ld(X2,mult(X1,X2)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.240.2.0','0.18.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.242.1.0',plain,
% 209.14/209.62 ( ld(mult(rd(unit,X1),X2),X2) = ld(X2,mult(X1,X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.242.0.0']),
% 209.14/209.62 [weight('<103,240,18,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.242.2.0',plain,
% 209.14/209.62 ( ld(mult(rd(unit,X1),X2),X2) = ld(X2,mult(X1,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.242.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_242]).
% 209.14/209.62 cnf('0.243.0.0',plain,
% 209.14/209.62 ( mult(ld(rd(X1,X2),unit),X2) = mult(X2,ld(X1,X2)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.241.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.243.1.0',plain,
% 209.14/209.62 ( mult(ld(rd(X1,X2),unit),X2) = mult(X2,ld(X1,X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.243.0.0']),
% 209.14/209.62 [weight('<103,241,3,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.243.2.0',plain,
% 209.14/209.62 ( mult(ld(rd(X1,X2),unit),X2) = mult(X2,ld(X1,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.243.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_243]).
% 209.14/209.62 cnf('0.244.0.0',plain,
% 209.14/209.62 ( mult(rd(unit,X1),X2) = rd(X2,ld(X2,mult(X1,X2))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.19.2.0','0.242.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.244.1.0',plain,
% 209.14/209.62 ( mult(rd(unit,X1),X2) = rd(X2,ld(X2,mult(X1,X2))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.244.0.0']),
% 209.14/209.62 [weight('<103,242,19,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.244.2.0',plain,
% 209.14/209.62 ( rd(X1,ld(X1,mult(X2,X1))) = mult(rd(unit,X2),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.244.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_244]).
% 209.14/209.62 cnf('0.245.0.0',plain,
% 209.14/209.62 ( ld(rd(X1,X2),unit) = rd(mult(X2,ld(X1,X2)),X2) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.6.2.0','0.243.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.245.1.0',plain,
% 209.14/209.62 ( ld(rd(X1,X2),unit) = rd(mult(X2,ld(X1,X2)),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.245.0.0']),
% 209.14/209.62 [weight('<103,243,6,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.245.2.0',plain,
% 209.14/209.62 ( rd(mult(X1,ld(X2,X1)),X1) = ld(rd(X2,X1),unit) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.245.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_245]).
% 209.14/209.62 cnf('0.247.0.0',plain,
% 209.14/209.62 ( ld(rd(rd(X1,X2),X1),unit) = rd(mult(X1,X2),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.245.2.0','0.18.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.247.1.0',plain,
% 209.14/209.62 ( ld(rd(rd(X1,X2),X1),unit) = rd(mult(X1,X2),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.247.0.0']),
% 209.14/209.62 [weight('<103,245,18,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.247.2.0',plain,
% 209.14/209.62 ( ld(rd(rd(X1,X2),X1),unit) = rd(mult(X1,X2),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.247.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_247]).
% 209.14/209.62 cnf('0.249.0.0',plain,
% 209.14/209.62 ( rd(rd(X1,X2),X1) = rd(unit,rd(mult(X1,X2),X1)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.19.2.0','0.247.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.249.1.0',plain,
% 209.14/209.62 ( rd(rd(X1,X2),X1) = rd(unit,rd(mult(X1,X2),X1)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.249.0.0']),
% 209.14/209.62 [weight('<103,247,19,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.249.2.0',plain,
% 209.14/209.62 ( rd(unit,rd(mult(X1,X2),X1)) = rd(rd(X1,X2),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.249.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_249]).
% 209.14/209.62 cnf('0.250.0.0',plain,
% 209.14/209.62 ( rd(mult(X1,rd(unit,op_c)),X1) = ld(rd(mult(X1,op_c),X1),unit) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.247.2.0','0.48.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.1','L')]).
% 209.14/209.62 cnf('0.250.0.1',plain,
% 209.14/209.62 ( rd(rd(mult(X1,unit),op_c),X1) = ld(rd(mult(X1,op_c),X1),unit) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.250.0.0','0.26.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.250.0.2',plain,
% 209.14/209.62 ( rd(mult(X1,unit),mult(X1,op_c)) = ld(rd(mult(X1,op_c),X1),unit) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.250.0.1','0.60.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.250.0.3',plain,
% 209.14/209.62 ( rd(X1,mult(X1,op_c)) = ld(rd(mult(X1,op_c),X1),unit) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.250.0.2','0.2.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.250.0.4',plain,
% 209.14/209.62 ( rd(X1,mult(X1,op_c)) = ld(rd(X1,rd(X1,op_c)),unit) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.250.0.3','0.58.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1','L')]).
% 209.14/209.62 cnf('0.250.1.0',plain,
% 209.14/209.62 ( rd(X1,mult(X1,op_c)) = ld(rd(X1,rd(X1,op_c)),unit) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.250.0.4']),
% 209.14/209.62 [weight('<103,247,48,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.250.2.0',plain,
% 209.14/209.62 ( ld(rd(X1,rd(X1,op_c)),unit) = rd(X1,mult(X1,op_c)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.250.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_250]).
% 209.14/209.62 cnf('0.251.0.0',plain,
% 209.14/209.62 ( rd(mult(X1,op_c),X1) = ld(rd(X1,mult(X1,op_c)),unit) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.247.2.0','0.60.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.251.0.1',plain,
% 209.14/209.62 ( rd(X1,rd(X1,op_c)) = ld(rd(X1,mult(X1,op_c)),unit) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.251.0.0','0.58.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.251.1.0',plain,
% 209.14/209.62 ( rd(X1,rd(X1,op_c)) = ld(rd(X1,mult(X1,op_c)),unit) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.251.0.1']),
% 209.14/209.62 [weight('<103,247,60,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.251.2.0',plain,
% 209.14/209.62 ( ld(rd(X1,mult(X1,op_c)),unit) = rd(X1,rd(X1,op_c)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.251.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_251]).
% 209.14/209.62 cnf('0.252.0.0',plain,
% 209.14/209.62 ( rd(rd(X1,op_c),X1) = rd(unit,rd(X1,rd(X1,op_c))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.249.2.0','0.58.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.252.0.1',plain,
% 209.14/209.62 ( rd(X1,mult(X1,op_c)) = rd(unit,rd(X1,rd(X1,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.252.0.0','0.60.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.252.1.0',plain,
% 209.14/209.62 ( rd(X1,mult(X1,op_c)) = rd(unit,rd(X1,rd(X1,op_c))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.252.0.1']),
% 209.14/209.62 [weight('<103,249,58,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.252.2.0',plain,
% 209.14/209.62 ( rd(unit,rd(X1,rd(X1,op_c))) = rd(X1,mult(X1,op_c)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.252.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_252]).
% 209.14/209.62 cnf('0.253.0.0',plain,
% 209.14/209.62 ( rd(X1,rd(X1,op_c)) = rd(unit,rd(X1,mult(X1,op_c))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.19.2.0','0.250.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.253.1.0',plain,
% 209.14/209.62 ( rd(X1,rd(X1,op_c)) = rd(unit,rd(X1,mult(X1,op_c))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.253.0.0']),
% 209.14/209.62 [weight('<103,250,19,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.253.2.0',plain,
% 209.14/209.62 ( rd(unit,rd(X1,mult(X1,op_c))) = rd(X1,rd(X1,op_c)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.253.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_253]).
% 209.14/209.62 cnf('0.261.0.0',plain,
% 209.14/209.62 ( ld(rd(X1,mult(X1,op_c)),mult(unit,op_c)) = mult(rd(X1,rd(X1,op_c)),op_c) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.23.2.0','0.251.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.261.0.1',plain,
% 209.14/209.62 ( ld(rd(X1,mult(X1,op_c)),op_c) = mult(rd(X1,rd(X1,op_c)),op_c) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.261.0.0','0.4.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.261.0.2',plain,
% 209.14/209.62 ( ld(rd(X1,mult(X1,op_c)),op_c) = rd(X1,ld(op_c,rd(X1,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.261.0.1','0.67.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.261.0.3',plain,
% 209.14/209.62 ( ld(rd(X1,mult(X1,op_c)),op_c) = rd(X1,rd(ld(op_c,X1),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.261.0.2','0.69.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.261.1.0',plain,
% 209.14/209.62 ( ld(rd(X1,mult(X1,op_c)),op_c) = rd(X1,rd(ld(op_c,X1),op_c)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.261.0.3']),
% 209.14/209.62 [weight('<119,251,23,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.261.2.0',plain,
% 209.14/209.62 ( ld(rd(X1,mult(X1,op_c)),op_c) = rd(X1,rd(ld(op_c,X1),op_c)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.261.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_261]).
% 209.14/209.62 cnf('0.310.0.0',plain,
% 209.14/209.62 ( mult(mult(X1,X2),ld(X2,X3)) = mult(mult(X1,ld(X2,X3)),ld(ld(X2,X3),X3)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.10.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2','L')]).
% 209.14/209.62 cnf('0.310.1.0',plain,
% 209.14/209.62 ( mult(mult(X1,X2),ld(X2,X3)) = mult(mult(X1,ld(X2,X3)),ld(ld(X2,X3),X3)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.310.0.0']),
% 209.14/209.62 [weight('<?,10,1,[1,0,0,6]>')]).
% 209.14/209.62 cnf('0.310.2.0',plain,
% 209.14/209.62 ( mult(mult(X1,ld(X2,X3)),ld(ld(X2,X3),X3)) = mult(mult(X1,X2),ld(X2,X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.310.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_310]).
% 209.14/209.62 cnf('0.326.0.0',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,X2),ld(X1,X3))) = mult(rd(X2,X1),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.108.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.326.1.0',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,X2),ld(X1,X3))) = mult(rd(X2,X1),X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.326.0.0']),
% 209.14/209.62 [weight('<149,108,1,[1,0,0,4]>')]).
% 209.14/209.62 cnf('0.326.2.0',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,X2),ld(X1,X3))) = mult(rd(X2,X1),X3) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.326.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_326]).
% 209.14/209.62 cnf('0.327.0.0',plain,
% 209.14/209.62 ( mult(ld(X1,X2),ld(X1,X3)) = ld(X1,mult(rd(X2,X1),X3)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.5.2.0','0.326.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.327.1.0',plain,
% 209.14/209.62 ( mult(ld(X1,X2),ld(X1,X3)) = ld(X1,mult(rd(X2,X1),X3)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.327.0.0']),
% 209.14/209.62 [weight('<119,326,5,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.327.2.0',plain,
% 209.14/209.62 ( mult(ld(X1,X2),ld(X1,X3)) = ld(X1,mult(rd(X2,X1),X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.327.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_327]).
% 209.14/209.62 cnf('0.328.0.0',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,mult(X2,X1)),X3)) = mult(X2,mult(X1,X3)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.108.2.0','0.6.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.328.1.0',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,mult(X2,X1)),X3)) = mult(X2,mult(X1,X3)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.328.0.0']),
% 209.14/209.62 [weight('<149,108,6,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.328.2.0',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,mult(X2,X1)),X3)) = mult(X2,mult(X1,X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.328.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_328]).
% 209.14/209.62 cnf('0.334.0.0',plain,
% 209.14/209.62 ( mult(ld(X1,mult(X2,X1)),X3) = ld(X1,mult(X2,mult(X1,X3))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.5.2.0','0.328.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.334.1.0',plain,
% 209.14/209.62 ( mult(ld(X1,mult(X2,X1)),X3) = ld(X1,mult(X2,mult(X1,X3))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.334.0.0']),
% 209.14/209.62 [weight('<119,328,5,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.334.2.0',plain,
% 209.14/209.62 ( mult(ld(X1,mult(X2,X1)),X3) = ld(X1,mult(X2,mult(X1,X3))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.334.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_334]).
% 209.14/209.62 cnf('0.376.0.0',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,ld(op_c,X1)),X2)) = mult(rd(unit,op_c),mult(X1,X2)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.108.2.0','0.63.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.376.0.1',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,ld(op_c,X1)),X2)) = mult(unit,ld(op_c,mult(X1,X2))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.376.0.0','0.30.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.376.0.2',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,ld(op_c,X1)),X2)) = ld(op_c,mult(X1,X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.376.0.1','0.4.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.376.1.0',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,ld(op_c,X1)),X2)) = ld(op_c,mult(X1,X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.376.0.2']),
% 209.14/209.62 [weight('<149,108,63,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.376.2.0',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,ld(op_c,X1)),X2)) = ld(op_c,mult(X1,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.376.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_376]).
% 209.14/209.62 cnf('0.377.0.0',plain,
% 209.14/209.62 ( mult(ld(X1,ld(op_c,X1)),X2) = ld(X1,ld(op_c,mult(X1,X2))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.5.2.0','0.376.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.377.1.0',plain,
% 209.14/209.62 ( mult(ld(X1,ld(op_c,X1)),X2) = ld(X1,ld(op_c,mult(X1,X2))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.377.0.0']),
% 209.14/209.62 [weight('<119,376,5,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.377.2.0',plain,
% 209.14/209.62 ( mult(ld(X1,ld(op_c,X1)),X2) = ld(X1,ld(op_c,mult(X1,X2))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.377.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_377]).
% 209.14/209.62 cnf('0.378.0.0',plain,
% 209.14/209.62 ( mult(rd(X1,X2),X3) = rd(mult(X1,ld(X2,mult(X3,X2))),X2) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.6.2.0','0.147.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.378.1.0',plain,
% 209.14/209.62 ( mult(rd(X1,X2),X3) = rd(mult(X1,ld(X2,mult(X3,X2))),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.378.0.0']),
% 209.14/209.62 [weight('<149,147,6,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.378.2.0',plain,
% 209.14/209.62 ( rd(mult(X1,ld(X2,mult(X3,X2))),X2) = mult(rd(X1,X2),X3) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.378.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_378]).
% 209.14/209.62 cnf('0.379.0.0',plain,
% 209.14/209.62 ( mult(rd(unit,X1),X2) = rd(ld(X1,mult(X2,X1)),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.378.2.0','0.4.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.379.1.0',plain,
% 209.14/209.62 ( mult(rd(unit,X1),X2) = rd(ld(X1,mult(X2,X1)),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.379.0.0']),
% 209.14/209.62 [weight('<103,378,4,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.379.2.0',plain,
% 209.14/209.62 ( rd(ld(X1,mult(X2,X1)),X1) = mult(rd(unit,X1),X2) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.379.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_379]).
% 209.14/209.62 cnf('0.383.0.0',plain,
% 209.14/209.62 ( mult(rd(X1,X2),rd(X3,X2)) = rd(mult(X1,ld(X2,X3)),X2) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.378.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2.2','L')]).
% 209.14/209.62 cnf('0.383.1.0',plain,
% 209.14/209.62 ( mult(rd(X1,X2),rd(X3,X2)) = rd(mult(X1,ld(X2,X3)),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.383.0.0']),
% 209.14/209.62 [weight('<119,378,3,[1,0,0,5]>')]).
% 209.14/209.62 cnf('0.383.2.0',plain,
% 209.14/209.62 ( mult(rd(X1,X2),rd(X3,X2)) = rd(mult(X1,ld(X2,X3)),X2) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.383.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_383]).
% 209.14/209.62 cnf('0.387.0.0',plain,
% 209.14/209.62 ( mult(X1,rd(X2,X3)) = rd(mult(mult(X1,X3),ld(X3,X2)),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.6.2.0','0.148.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.387.1.0',plain,
% 209.14/209.62 ( mult(X1,rd(X2,X3)) = rd(mult(mult(X1,X3),ld(X3,X2)),X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.387.0.0']),
% 209.14/209.62 [weight('<149,148,6,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.387.2.0',plain,
% 209.14/209.62 ( rd(mult(mult(X1,X2),ld(X2,X3)),X2) = mult(X1,rd(X3,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.387.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_387]).
% 209.14/209.62 cnf('0.388.0.0',plain,
% 209.14/209.62 ( mult(X1,rd(mult(X2,X3),X2)) = rd(mult(mult(X1,X2),X3),X2) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.387.2.0','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.388.1.0',plain,
% 209.14/209.62 ( mult(X1,rd(mult(X2,X3),X2)) = rd(mult(mult(X1,X2),X3),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.388.0.0']),
% 209.14/209.62 [weight('<119,387,5,[1,0,0,5]>')]).
% 209.14/209.62 cnf('0.388.2.0',plain,
% 209.14/209.62 ( mult(X1,rd(mult(X2,X3),X2)) = rd(mult(mult(X1,X2),X3),X2) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.388.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_388]).
% 209.14/209.62 cnf('0.389.0.0',plain,
% 209.14/209.62 ( rd(mult(mult(X1,X2),op_c),X2) = mult(X1,rd(X2,rd(X2,op_c))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.388.2.0','0.58.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.389.0.1',plain,
% 209.14/209.62 ( rd(mult(X1,X2),rd(X2,op_c)) = mult(X1,rd(X2,rd(X2,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.389.0.0','0.58.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.389.1.0',plain,
% 209.14/209.62 ( rd(mult(X1,X2),rd(X2,op_c)) = mult(X1,rd(X2,rd(X2,op_c))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.389.0.1']),
% 209.14/209.62 [weight('<119,388,58,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.389.2.0',plain,
% 209.14/209.62 ( mult(X1,rd(X2,rd(X2,op_c))) = rd(mult(X1,X2),rd(X2,op_c)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.389.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_389]).
% 209.14/209.62 cnf('0.395.0.0',plain,
% 209.14/209.62 ( rd(ld(X1,ld(X2,mult(X3,op_c))),op_c) = ld(X1,rd(ld(X2,X3),rd(op_c,op_c))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.52.2.0','0.156.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.395.0.1',plain,
% 209.14/209.62 ( rd(ld(X1,ld(X2,mult(X3,op_c))),op_c) = ld(X1,rd(ld(X2,X3),unit)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.395.0.0','0.16.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2.2','L')]).
% 209.14/209.62 cnf('0.395.0.2',plain,
% 209.14/209.62 ( rd(ld(X1,ld(X2,mult(X3,op_c))),op_c) = ld(X1,ld(X2,X3)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.395.0.1','0.13.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.395.1.0',plain,
% 209.14/209.62 ( rd(ld(X1,ld(X2,mult(X3,op_c))),op_c) = ld(X1,ld(X2,X3)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.395.0.2']),
% 209.14/209.62 [weight('<149,156,52,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.395.2.0',plain,
% 209.14/209.62 ( rd(ld(X1,ld(X2,mult(X3,op_c))),op_c) = ld(X1,ld(X2,X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.395.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_395]).
% 209.14/209.62 cnf('0.400.0.0',plain,
% 209.14/209.62 ( mult(unit,ld(X1,mult(ld(rd(op_c,X1),X2),X1))) = mult(ld(op_c,X2),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.147.2.0','0.204.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.400.0.1',plain,
% 209.14/209.62 ( ld(X1,mult(ld(rd(op_c,X1),X2),X1)) = mult(ld(op_c,X2),X1) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.400.0.0','0.4.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.400.0.2',plain,
% 209.14/209.62 ( ld(X1,mult(ld(rd(op_c,X1),X2),X1)) = ld(op_c,mult(X2,X1)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.400.0.1','0.38.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.400.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(ld(rd(op_c,X1),X2),X1)) = ld(op_c,mult(X2,X1)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.400.0.2']),
% 209.14/209.62 [weight('<149,204,147,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.400.2.0',plain,
% 209.14/209.62 ( ld(X1,mult(ld(rd(op_c,X1),X2),X1)) = ld(op_c,mult(X2,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.400.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_400]).
% 209.14/209.62 cnf('0.401.0.0',plain,
% 209.14/209.62 ( mult(ld(rd(op_c,X1),X2),X1) = mult(X1,ld(op_c,mult(X2,X1))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.1.2.0','0.400.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.401.1.0',plain,
% 209.14/209.62 ( mult(ld(rd(op_c,X1),X2),X1) = mult(X1,ld(op_c,mult(X2,X1))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.401.0.0']),
% 209.14/209.62 [weight('<119,400,1,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.401.2.0',plain,
% 209.14/209.62 ( mult(ld(rd(op_c,X1),X2),X1) = mult(X1,ld(op_c,mult(X2,X1))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.401.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_401]).
% 209.14/209.62 cnf('0.402.0.0',plain,
% 209.14/209.62 ( mult(X1,ld(op_c,mult(mult(op_c,X2),X1))) = mult(ld(rd(unit,X1),X2),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.401.2.0','0.173.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.402.0.1',plain,
% 209.14/209.62 ( mult(X1,ld(op_c,mult(op_c,mult(X2,X1)))) = mult(ld(rd(unit,X1),X2),X1) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.402.0.0','0.11.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2','L')]).
% 209.14/209.62 cnf('0.402.0.2',plain,
% 209.14/209.62 ( mult(X1,mult(X2,X1)) = mult(ld(rd(unit,X1),X2),X1) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.402.0.1','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.402.1.0',plain,
% 209.14/209.62 ( mult(X1,mult(X2,X1)) = mult(ld(rd(unit,X1),X2),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.402.0.2']),
% 209.14/209.62 [weight('<103,401,173,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.402.2.0',plain,
% 209.14/209.62 ( mult(ld(rd(unit,X1),X2),X1) = mult(X1,mult(X2,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.402.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_402]).
% 209.14/209.62 cnf('0.403.0.0',plain,
% 209.14/209.62 ( ld(rd(unit,X1),X2) = rd(mult(X1,mult(X2,X1)),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.6.2.0','0.402.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.403.1.0',plain,
% 209.14/209.62 ( ld(rd(unit,X1),X2) = rd(mult(X1,mult(X2,X1)),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.403.0.0']),
% 209.14/209.62 [weight('<103,402,6,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.403.2.0',plain,
% 209.14/209.62 ( rd(mult(X1,mult(X2,X1)),X1) = ld(rd(unit,X1),X2) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.403.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_403]).
% 209.14/209.62 cnf('0.404.0.0',plain,
% 209.14/209.62 ( ld(rd(unit,X1),rd(X2,X1)) = rd(mult(X1,X2),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.403.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.404.1.0',plain,
% 209.14/209.62 ( ld(rd(unit,X1),rd(X2,X1)) = rd(mult(X1,X2),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.404.0.0']),
% 209.14/209.62 [weight('<103,403,3,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.404.2.0',plain,
% 209.14/209.62 ( ld(rd(unit,X1),rd(X2,X1)) = rd(mult(X1,X2),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.404.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_404]).
% 209.14/209.62 cnf('0.405.0.0',plain,
% 209.14/209.62 ( rd(mult(ld(X1,unit),op_c),ld(X1,unit)) = ld(rd(unit,ld(X1,unit)),mult(op_c,X1)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.404.2.0','0.71.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.405.0.1',plain,
% 209.14/209.62 ( rd(ld(X1,unit),rd(ld(X1,unit),op_c)) = ld(rd(unit,ld(X1,unit)),mult(op_c,X1)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.405.0.0','0.58.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.405.0.2',plain,
% 209.14/209.62 ( rd(ld(X1,op_c),ld(X1,unit)) = ld(rd(unit,ld(X1,unit)),mult(op_c,X1)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.405.0.1','0.123.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.405.0.3',plain,
% 209.14/209.62 ( rd(ld(X1,op_c),ld(X1,unit)) = ld(X1,mult(op_c,X1)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.405.0.2','0.19.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1','L')]).
% 209.14/209.62 cnf('0.405.1.0',plain,
% 209.14/209.62 ( rd(ld(X1,op_c),ld(X1,unit)) = ld(X1,mult(op_c,X1)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.405.0.3']),
% 209.14/209.62 [weight('<103,404,71,[1,0,0,4]>')]).
% 209.14/209.62 cnf('0.405.2.0',plain,
% 209.14/209.62 ( rd(ld(X1,op_c),ld(X1,unit)) = ld(X1,mult(op_c,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.405.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_405]).
% 209.14/209.62 cnf('0.406.0.0',plain,
% 209.14/209.62 ( rd(rd(X1,mult(X2,X1)),X1) = rd(unit,ld(rd(unit,X1),X2)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.249.2.0','0.403.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.406.1.0',plain,
% 209.14/209.62 ( rd(rd(X1,mult(X2,X1)),X1) = rd(unit,ld(rd(unit,X1),X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.406.0.0']),
% 209.14/209.62 [weight('<119,403,249,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.406.2.0',plain,
% 209.14/209.62 ( rd(rd(X1,mult(X2,X1)),X1) = rd(unit,ld(rd(unit,X1),X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.406.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_406]).
% 209.14/209.62 cnf('0.411.0.0',plain,
% 209.14/209.62 ( mult(X1,X2) = rd(mult(mult(X1,X3),X2),ld(X2,mult(X3,X2))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.6.2.0','0.10.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.411.1.0',plain,
% 209.14/209.62 ( mult(X1,X2) = rd(mult(mult(X1,X3),X2),ld(X2,mult(X3,X2))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.411.0.0']),
% 209.14/209.62 [weight('<?,10,6,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.411.2.0',plain,
% 209.14/209.62 ( rd(mult(mult(X1,X2),X3),ld(X3,mult(X2,X3))) = mult(X1,X3) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.411.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_411]).
% 209.14/209.62 cnf('0.421.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(ld(rd(X2,X1),X3),X1)) = ld(X2,mult(X3,X1)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.239.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.421.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(ld(rd(X2,X1),X3),X1)) = ld(X2,mult(X3,X1)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.421.0.0']),
% 209.14/209.62 [weight('<149,239,3,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.421.2.0',plain,
% 209.14/209.62 ( ld(X1,mult(ld(rd(X2,X1),X3),X1)) = ld(X2,mult(X3,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.421.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_421]).
% 209.14/209.62 cnf('0.422.0.0',plain,
% 209.14/209.62 ( mult(ld(rd(X1,X2),X3),X2) = mult(X2,ld(X1,mult(X3,X2))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.1.2.0','0.421.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.422.1.0',plain,
% 209.14/209.62 ( mult(ld(rd(X1,X2),X3),X2) = mult(X2,ld(X1,mult(X3,X2))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.422.0.0']),
% 209.14/209.62 [weight('<119,421,1,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.422.2.0',plain,
% 209.14/209.62 ( mult(ld(rd(X1,X2),X3),X2) = mult(X2,ld(X1,mult(X3,X2))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.422.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_422]).
% 209.14/209.62 cnf('0.423.0.0',plain,
% 209.14/209.62 ( mult(X1,ld(X2,mult(ld(op_c,rd(X2,X1)),X1))) = ld(rd(X2,X1),ld(op_c,mult(rd(X2,X1),X1))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.422.2.0','0.377.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.423.0.1',plain,
% 209.14/209.62 ( mult(X1,ld(X2,ld(op_c,mult(rd(X2,X1),X1)))) = ld(rd(X2,X1),ld(op_c,mult(rd(X2,X1),X1))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.423.0.0','0.38.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2','L')]).
% 209.14/209.62 cnf('0.423.0.2',plain,
% 209.14/209.62 ( mult(X1,ld(X2,ld(op_c,X2))) = ld(rd(X2,X1),ld(op_c,mult(rd(X2,X1),X1))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.423.0.1','0.3.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2.2','L')]).
% 209.14/209.62 cnf('0.423.0.3',plain,
% 209.14/209.62 ( mult(X1,ld(X2,ld(op_c,X2))) = ld(rd(X2,X1),ld(op_c,X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.423.0.2','0.3.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2.2','L')]).
% 209.14/209.62 cnf('0.423.1.0',plain,
% 209.14/209.62 ( mult(X1,ld(X2,ld(op_c,X2))) = ld(rd(X2,X1),ld(op_c,X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.423.0.3']),
% 209.14/209.62 [weight('<119,422,377,[1,0,0,0]>')]).
% 209.14/209.62 cnf('0.423.2.0',plain,
% 209.14/209.62 ( mult(X1,ld(X2,ld(op_c,X2))) = ld(rd(X2,X1),ld(op_c,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.423.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_423]).
% 209.14/209.62 cnf('0.425.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(ld(X2,rd(X3,X1)),X1)) = ld(mult(X2,X1),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.239.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.425.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(ld(X2,rd(X3,X1)),X1)) = ld(mult(X2,X1),X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.425.0.0']),
% 209.14/209.62 [weight('<149,239,3,[1,0,0,4]>')]).
% 209.14/209.62 cnf('0.425.2.0',plain,
% 209.14/209.62 ( ld(X1,mult(ld(X2,rd(X3,X1)),X1)) = ld(mult(X2,X1),X3) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.425.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_425]).
% 209.14/209.62 cnf('0.426.0.0',plain,
% 209.14/209.62 ( mult(ld(X1,rd(X2,X3)),X3) = mult(X3,ld(mult(X1,X3),X2)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.1.2.0','0.425.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.426.1.0',plain,
% 209.14/209.62 ( mult(ld(X1,rd(X2,X3)),X3) = mult(X3,ld(mult(X1,X3),X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.426.0.0']),
% 209.14/209.62 [weight('<119,425,1,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.426.2.0',plain,
% 209.14/209.62 ( mult(ld(X1,rd(X2,X3)),X3) = mult(X3,ld(mult(X1,X3),X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.426.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_426]).
% 209.14/209.62 cnf('0.436.0.0',plain,
% 209.14/209.62 ( rd(X1,mult(X1,op_c)) = rd(op_c,rd(X1,rd(ld(op_c,X1),op_c))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.19.2.0','0.261.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.436.1.0',plain,
% 209.14/209.62 ( rd(X1,mult(X1,op_c)) = rd(op_c,rd(X1,rd(ld(op_c,X1),op_c))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.436.0.0']),
% 209.14/209.62 [weight('<149,261,19,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.436.2.0',plain,
% 209.14/209.62 ( rd(op_c,rd(X1,rd(ld(op_c,X1),op_c))) = rd(X1,mult(X1,op_c)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.436.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_436]).
% 209.14/209.62 cnf('0.437.0.0',plain,
% 209.14/209.62 ( rd(ld(X1,op_c),mult(ld(X1,op_c),op_c)) = rd(op_c,rd(ld(X1,op_c),ld(op_c,ld(X1,unit)))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.436.2.0','0.103.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2','L')]).
% 209.14/209.62 cnf('0.437.0.1',plain,
% 209.14/209.62 ( rd(ld(X1,unit),ld(X1,op_c)) = rd(op_c,rd(ld(X1,op_c),ld(op_c,ld(X1,unit)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.437.0.0','0.107.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.437.0.2',plain,
% 209.14/209.62 ( rd(ld(X1,unit),ld(X1,op_c)) = rd(unit,rd(ld(X1,op_c),ld(X1,unit))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.437.0.1','0.109.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.437.0.3',plain,
% 209.14/209.62 ( rd(ld(X1,unit),ld(X1,op_c)) = rd(unit,ld(X1,mult(op_c,X1))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.437.0.2','0.405.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.437.1.0',plain,
% 209.14/209.62 ( rd(ld(X1,unit),ld(X1,op_c)) = rd(unit,ld(X1,mult(op_c,X1))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.437.0.3']),
% 209.14/209.62 [weight('<119,436,103,[1,0,0,4]>')]).
% 209.14/209.62 cnf('0.437.2.0',plain,
% 209.14/209.62 ( rd(ld(X1,unit),ld(X1,op_c)) = rd(unit,ld(X1,mult(op_c,X1))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.437.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_437]).
% 209.14/209.62 cnf('0.442.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(rd(mult(X1,X2),X1),X3)) = mult(X2,ld(X1,X3)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.327.2.0','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.442.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(rd(mult(X1,X2),X1),X3)) = mult(X2,ld(X1,X3)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.442.0.0']),
% 209.14/209.62 [weight('<149,327,5,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.442.2.0',plain,
% 209.14/209.62 ( ld(X1,mult(rd(mult(X1,X2),X1),X3)) = mult(X2,ld(X1,X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.442.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_442]).
% 209.14/209.62 cnf('0.443.0.0',plain,
% 209.14/209.62 ( mult(X1,ld(X2,unit)) = ld(X2,rd(mult(X2,X1),X2)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.442.2.0','0.2.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.443.1.0',plain,
% 209.14/209.62 ( mult(X1,ld(X2,unit)) = ld(X2,rd(mult(X2,X1),X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.443.0.0']),
% 209.14/209.62 [weight('<103,442,2,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.443.2.0',plain,
% 209.14/209.62 ( ld(X1,rd(mult(X1,X2),X1)) = mult(X2,ld(X1,unit)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.443.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_443]).
% 209.14/209.62 cnf('0.445.0.0',plain,
% 209.14/209.62 ( mult(op_c,ld(X1,unit)) = ld(X1,rd(X1,rd(X1,op_c))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.443.2.0','0.58.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.445.0.1',plain,
% 209.14/209.62 ( ld(rd(X1,op_c),unit) = ld(X1,rd(X1,rd(X1,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.445.0.0','0.87.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.445.1.0',plain,
% 209.14/209.62 ( ld(rd(X1,op_c),unit) = ld(X1,rd(X1,rd(X1,op_c))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.445.0.1']),
% 209.14/209.62 [weight('<103,443,58,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.445.2.0',plain,
% 209.14/209.62 ( ld(X1,rd(X1,rd(X1,op_c))) = ld(rd(X1,op_c),unit) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.445.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_445]).
% 209.14/209.62 cnf('0.447.0.0',plain,
% 209.14/209.62 ( mult(rd(mult(X1,X2),X1),X3) = mult(X1,mult(X2,ld(X1,X3))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.1.2.0','0.442.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.447.1.0',plain,
% 209.14/209.62 ( mult(rd(mult(X1,X2),X1),X3) = mult(X1,mult(X2,ld(X1,X3))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.447.0.0']),
% 209.14/209.62 [weight('<119,442,1,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.447.2.0',plain,
% 209.14/209.62 ( mult(rd(mult(X1,X2),X1),X3) = mult(X1,mult(X2,ld(X1,X3))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.447.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_447]).
% 209.14/209.62 cnf('0.448.0.0',plain,
% 209.14/209.62 ( mult(ld(X1,X2),ld(X2,unit)) = ld(X2,ld(rd(X1,X2),unit)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.443.2.0','0.245.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.448.1.0',plain,
% 209.14/209.62 ( mult(ld(X1,X2),ld(X2,unit)) = ld(X2,ld(rd(X1,X2),unit)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.448.0.0']),
% 209.14/209.62 [weight('<119,443,245,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.448.2.0',plain,
% 209.14/209.62 ( mult(ld(X1,X2),ld(X2,unit)) = ld(X2,ld(rd(X1,X2),unit)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.448.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_448]).
% 209.14/209.62 cnf('0.449.0.0',plain,
% 209.14/209.62 ( mult(mult(X1,X2),ld(X2,unit)) = ld(X2,ld(rd(unit,X2),X1)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.443.2.0','0.403.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.449.1.0',plain,
% 209.14/209.62 ( mult(mult(X1,X2),ld(X2,unit)) = ld(X2,ld(rd(unit,X2),X1)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.449.0.0']),
% 209.14/209.62 [weight('<119,443,403,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.449.2.0',plain,
% 209.14/209.62 ( mult(mult(X1,X2),ld(X2,unit)) = ld(X2,ld(rd(unit,X2),X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.449.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_449]).
% 209.14/209.62 cnf('0.450.0.0',plain,
% 209.14/209.62 ( ld(rd(unit,ld(X1,unit)),mult(X2,X1)) = rd(mult(ld(X1,unit),ld(X1,ld(rd(unit,X1),X2))),ld(X1,unit)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.403.2.0','0.449.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.450.0.1',plain,
% 209.14/209.62 ( ld(X1,mult(X2,X1)) = rd(mult(ld(X1,unit),ld(X1,ld(rd(unit,X1),X2))),ld(X1,unit)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.450.0.0','0.19.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.450.0.2',plain,
% 209.14/209.62 ( ld(X1,mult(X2,X1)) = rd(ld(X1,mult(rd(unit,X1),ld(rd(unit,X1),X2))),ld(X1,unit)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.450.0.1','0.327.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1','L')]).
% 209.14/209.62 cnf('0.450.0.3',plain,
% 209.14/209.62 ( ld(X1,mult(X2,X1)) = rd(ld(X1,X2),ld(X1,unit)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.450.0.2','0.1.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1.2','L')]).
% 209.14/209.62 cnf('0.450.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(X2,X1)) = rd(ld(X1,X2),ld(X1,unit)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.450.0.3']),
% 209.14/209.62 [weight('<103,449,403,[0,0,0,3]>')]).
% 209.14/209.62 cnf('0.450.2.0',plain,
% 209.14/209.62 ( rd(ld(X1,X2),ld(X1,unit)) = ld(X1,mult(X2,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.450.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_450]).
% 209.14/209.62 cnf('0.451.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(mult(X1,X2),X1)) = rd(X2,ld(X1,unit)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.450.2.0','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.451.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(mult(X1,X2),X1)) = rd(X2,ld(X1,unit)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.451.0.0']),
% 209.14/209.62 [weight('<103,450,5,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.451.2.0',plain,
% 209.14/209.62 ( ld(X1,mult(mult(X1,X2),X1)) = rd(X2,ld(X1,unit)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.451.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_451]).
% 209.14/209.62 cnf('0.452.0.0',plain,
% 209.14/209.62 ( mult(mult(X1,X2),X1) = mult(X1,rd(X2,ld(X1,unit))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.1.2.0','0.451.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.452.1.0',plain,
% 209.14/209.62 ( mult(mult(X1,X2),X1) = mult(X1,rd(X2,ld(X1,unit))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.452.0.0']),
% 209.14/209.62 [weight('<103,451,1,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.452.2.0',plain,
% 209.14/209.62 ( mult(X1,rd(X2,ld(X1,unit))) = mult(mult(X1,X2),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.452.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_452]).
% 209.14/209.62 cnf('0.455.0.0',plain,
% 209.14/209.62 ( mult(X1,mult(op_c,ld(X1,X2))) = mult(rd(X1,rd(X1,op_c)),X2) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.447.2.0','0.58.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.455.0.1',plain,
% 209.14/209.62 ( mult(X1,ld(rd(X1,op_c),X2)) = mult(rd(X1,rd(X1,op_c)),X2) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.455.0.0','0.87.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.455.1.0',plain,
% 209.14/209.62 ( mult(X1,ld(rd(X1,op_c),X2)) = mult(rd(X1,rd(X1,op_c)),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.455.0.1']),
% 209.14/209.62 [weight('<119,447,58,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.455.2.0',plain,
% 209.14/209.62 ( mult(rd(X1,rd(X1,op_c)),X2) = mult(X1,ld(rd(X1,op_c),X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.455.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_455]).
% 209.14/209.62 cnf('0.456.0.0',plain,
% 209.14/209.62 ( mult(ld(X1,X2),mult(ld(X2,unit),op_c)) = mult(ld(X2,ld(rd(X1,X2),unit)),op_c) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.8.2.0','0.448.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.456.0.1',plain,
% 209.14/209.62 ( mult(ld(X1,X2),ld(X2,mult(unit,op_c))) = mult(ld(X2,ld(rd(X1,X2),unit)),op_c) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.456.0.0','0.23.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.456.0.2',plain,
% 209.14/209.62 ( mult(ld(X1,X2),ld(X2,op_c)) = mult(ld(X2,ld(rd(X1,X2),unit)),op_c) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.456.0.1','0.4.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2','L')]).
% 209.14/209.62 cnf('0.456.0.3',plain,
% 209.14/209.62 ( mult(ld(X1,X2),ld(X2,op_c)) = ld(X2,mult(ld(rd(X1,X2),unit),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.456.0.2','0.23.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.456.0.4',plain,
% 209.14/209.62 ( mult(ld(X1,X2),ld(X2,op_c)) = ld(X2,ld(rd(X1,X2),mult(unit,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.456.0.3','0.23.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.456.0.5',plain,
% 209.14/209.62 ( mult(ld(X1,X2),ld(X2,op_c)) = ld(X2,ld(rd(X1,X2),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.456.0.4','0.4.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2.2','L')]).
% 209.14/209.62 cnf('0.456.1.0',plain,
% 209.14/209.62 ( mult(ld(X1,X2),ld(X2,op_c)) = ld(X2,ld(rd(X1,X2),op_c)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.456.0.5']),
% 209.14/209.62 [weight('<119,448,8,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.456.2.0',plain,
% 209.14/209.62 ( mult(ld(X1,X2),ld(X2,op_c)) = ld(X2,ld(rd(X1,X2),op_c)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.456.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_456]).
% 209.14/209.62 cnf('0.457.0.0',plain,
% 209.14/209.62 ( ld(ld(X1,unit),ld(rd(unit,ld(X1,unit)),X2)) = mult(mult(X2,X1),ld(X1,unit)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.449.2.0','0.310.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.457.0.1',plain,
% 209.14/209.62 ( ld(ld(X1,unit),ld(X1,X2)) = mult(mult(X2,X1),ld(X1,unit)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.457.0.0','0.19.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.457.0.2',plain,
% 209.14/209.62 ( ld(ld(X1,unit),ld(X1,X2)) = ld(X1,ld(rd(unit,X1),X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.457.0.1','0.449.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.457.1.0',plain,
% 209.14/209.62 ( ld(ld(X1,unit),ld(X1,X2)) = ld(X1,ld(rd(unit,X1),X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.457.0.2']),
% 209.14/209.62 [weight('<119,449,310,[1,0,0,0]>')]).
% 209.14/209.62 cnf('0.457.2.0',plain,
% 209.14/209.62 ( ld(ld(X1,unit),ld(X1,X2)) = ld(X1,ld(rd(unit,X1),X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.457.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_457]).
% 209.14/209.62 cnf('0.458.0.0',plain,
% 209.14/209.62 ( ld(X1,ld(rd(unit,X1),X1)) = ld(ld(X1,unit),unit) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.457.2.0','0.15.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.458.1.0',plain,
% 209.14/209.62 ( ld(X1,ld(rd(unit,X1),X1)) = ld(ld(X1,unit),unit) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.458.0.0']),
% 209.14/209.62 [weight('<103,457,15,[1,0,0,4]>')]).
% 209.14/209.62 cnf('0.458.2.0',plain,
% 209.14/209.62 ( ld(X1,ld(rd(unit,X1),X1)) = ld(ld(X1,unit),unit) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.458.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_458]).
% 209.14/209.62 cnf('0.462.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(rd(X2,op_c),X1)) = rd(rd(ld(X1,X2),op_c),ld(X1,unit)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.450.2.0','0.52.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.462.0.1',plain,
% 209.14/209.62 ( ld(X1,mult(X2,ld(op_c,X1))) = rd(rd(ld(X1,X2),op_c),ld(X1,unit)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.462.0.0','0.30.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.462.0.2',plain,
% 209.14/209.62 ( ld(X1,mult(X2,ld(op_c,X1))) = rd(ld(X1,X2),mult(ld(X1,unit),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.462.0.1','0.60.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.462.0.3',plain,
% 209.14/209.62 ( ld(X1,mult(X2,ld(op_c,X1))) = rd(ld(X1,X2),ld(X1,mult(unit,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.462.0.2','0.23.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.462.0.4',plain,
% 209.14/209.62 ( ld(X1,mult(X2,ld(op_c,X1))) = rd(ld(X1,X2),ld(X1,op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.462.0.3','0.4.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2.2','L')]).
% 209.14/209.62 cnf('0.462.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(X2,ld(op_c,X1))) = rd(ld(X1,X2),ld(X1,op_c)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.462.0.4']),
% 209.14/209.62 [weight('<119,450,52,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.462.2.0',plain,
% 209.14/209.62 ( ld(X1,mult(X2,ld(op_c,X1))) = rd(ld(X1,X2),ld(X1,op_c)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.462.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_462]).
% 209.14/209.62 cnf('0.463.0.0',plain,
% 209.14/209.62 ( rd(ld(X1,unit),ld(X1,op_c)) = ld(X1,ld(op_c,X1)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.462.2.0','0.4.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.463.0.1',plain,
% 209.14/209.62 ( rd(unit,ld(X1,mult(op_c,X1))) = ld(X1,ld(op_c,X1)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.463.0.0','0.437.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.463.1.0',plain,
% 209.14/209.62 ( rd(unit,ld(X1,mult(op_c,X1))) = ld(X1,ld(op_c,X1)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.463.0.1']),
% 209.14/209.62 [weight('<103,462,4,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.463.2.0',plain,
% 209.14/209.62 ( rd(unit,ld(X1,mult(op_c,X1))) = ld(X1,ld(op_c,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.463.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_463]).
% 209.14/209.62 cnf('0.464.0.0',plain,
% 209.14/209.62 ( rd(ld(X1,unit),ld(X1,op_c)) = rd(unit,ld(X1,mult(op_c,X1))) ),
% 209.14/209.62 inference(interreduction_right,[status(thm)],['0.437.2.0'])).
% 209.14/209.62 cnf('0.464.0.1',plain,
% 209.14/209.62 ( rd(ld(X1,unit),ld(X1,op_c)) = ld(X1,ld(op_c,X1)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.464.0.0','0.463.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.464.1.0',plain,
% 209.14/209.62 ( rd(ld(X1,unit),ld(X1,op_c)) = ld(X1,ld(op_c,X1)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.464.0.1']),
% 209.14/209.62 [weight('<103,437,463,[0,0,0,0]>')]).
% 209.14/209.62 cnf('0.464.2.0',plain,
% 209.14/209.62 ( rd(ld(X1,unit),ld(X1,op_c)) = ld(X1,ld(op_c,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.464.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_464]).
% 209.14/209.62 cnf('0.465.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(op_c,X1)) = ld(ld(X1,ld(op_c,X1)),unit) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.18.2.0','0.463.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.465.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(op_c,X1)) = ld(ld(X1,ld(op_c,X1)),unit) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.465.0.0']),
% 209.14/209.62 [weight('<103,463,18,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.465.2.0',plain,
% 209.14/209.62 ( ld(ld(X1,ld(op_c,X1)),unit) = ld(X1,mult(op_c,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.465.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_465]).
% 209.14/209.62 cnf('0.466.0.0',plain,
% 209.14/209.62 ( ld(rd(op_c,X1),ld(op_c,rd(op_c,X1))) = rd(unit,ld(rd(unit,X1),rd(op_c,X1))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.463.2.0','0.173.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.466.0.1',plain,
% 209.14/209.62 ( ld(rd(op_c,X1),rd(ld(op_c,op_c),X1)) = rd(unit,ld(rd(unit,X1),rd(op_c,X1))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.466.0.0','0.69.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.466.0.2',plain,
% 209.14/209.62 ( ld(rd(op_c,X1),rd(unit,X1)) = rd(unit,ld(rd(unit,X1),rd(op_c,X1))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.466.0.1','0.15.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.466.0.3',plain,
% 209.14/209.62 ( ld(rd(op_c,X1),rd(unit,X1)) = rd(unit,rd(mult(X1,op_c),X1)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.466.0.2','0.404.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.466.0.4',plain,
% 209.14/209.62 ( ld(rd(op_c,X1),rd(unit,X1)) = rd(unit,rd(X1,rd(X1,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.466.0.3','0.58.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.466.0.5',plain,
% 209.14/209.62 ( ld(rd(op_c,X1),rd(unit,X1)) = rd(X1,mult(X1,op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.466.0.4','0.252.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.466.1.0',plain,
% 209.14/209.62 ( ld(rd(op_c,X1),rd(unit,X1)) = rd(X1,mult(X1,op_c)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.466.0.5']),
% 209.14/209.62 [weight('<103,463,173,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.466.2.0',plain,
% 209.14/209.62 ( ld(rd(op_c,X1),rd(unit,X1)) = rd(X1,mult(X1,op_c)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.466.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_466]).
% 209.14/209.62 cnf('0.469.0.0',plain,
% 209.14/209.62 ( mult(rd(unit,X1),mult(X1,X2)) = rd(rd(X2,ld(X1,unit)),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.379.2.0','0.451.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.469.0.1',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,unit),X2)) = rd(rd(X2,ld(X1,unit)),X1) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.469.0.0','0.108.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.469.1.0',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,unit),X2)) = rd(rd(X2,ld(X1,unit)),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.469.0.1']),
% 209.14/209.62 [weight('<119,451,379,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.469.2.0',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,unit),X2)) = rd(rd(X2,ld(X1,unit)),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.469.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_469]).
% 209.14/209.62 cnf('0.474.0.0',plain,
% 209.14/209.62 ( mult(ld(X1,mult(op_c,X1)),op_c) = ld(ld(X1,ld(op_c,X1)),op_c) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.51.2.0','0.463.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.474.0.1',plain,
% 209.14/209.62 ( ld(X1,mult(op_c,mult(X1,op_c))) = ld(ld(X1,ld(op_c,X1)),op_c) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.474.0.0','0.334.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.474.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(op_c,mult(X1,op_c))) = ld(ld(X1,ld(op_c,X1)),op_c) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.474.0.1']),
% 209.14/209.62 [weight('<119,463,51,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.474.2.0',plain,
% 209.14/209.62 ( ld(ld(X1,ld(op_c,X1)),op_c) = ld(X1,mult(op_c,mult(X1,op_c))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.474.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_474]).
% 209.14/209.62 cnf('0.476.0.0',plain,
% 209.14/209.62 ( rd(rd(X1,ld(rd(unit,X2),unit)),rd(unit,X2)) = mult(rd(unit,X2),mult(X2,X1)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.469.2.0','0.18.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.476.0.1',plain,
% 209.14/209.62 ( rd(rd(X1,X2),rd(unit,X2)) = mult(rd(unit,X2),mult(X2,X1)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.476.0.0','0.18.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.476.0.2',plain,
% 209.14/209.62 ( rd(rd(X1,X2),rd(unit,X2)) = mult(X2,mult(ld(X2,unit),X1)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.476.0.1','0.108.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.476.0.3',plain,
% 209.14/209.62 ( rd(rd(X1,X2),rd(unit,X2)) = rd(rd(X1,ld(X2,unit)),X2) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.476.0.2','0.469.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.476.1.0',plain,
% 209.14/209.62 ( rd(rd(X1,X2),rd(unit,X2)) = rd(rd(X1,ld(X2,unit)),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.476.0.3']),
% 209.14/209.62 [weight('<119,469,18,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.476.2.0',plain,
% 209.14/209.62 ( rd(rd(X1,ld(X2,unit)),X2) = rd(rd(X1,X2),rd(unit,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.476.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_476]).
% 209.14/209.62 cnf('0.477.0.0',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,unit),X2)) = rd(rd(X2,ld(X1,unit)),X1) ),
% 209.14/209.62 inference(interreduction_right,[status(thm)],['0.469.2.0'])).
% 209.14/209.62 cnf('0.477.0.1',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,unit),X2)) = rd(rd(X2,X1),rd(unit,X1)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.477.0.0','0.476.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.477.1.0',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,unit),X2)) = rd(rd(X2,X1),rd(unit,X1)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.477.0.1']),
% 209.14/209.62 [weight('<119,469,476,[0,0,0,0]>')]).
% 209.14/209.62 cnf('0.477.2.0',plain,
% 209.14/209.62 ( mult(X1,mult(ld(X1,unit),X2)) = rd(rd(X2,X1),rd(unit,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.477.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_477]).
% 209.14/209.62 cnf('0.486.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(ld(rd(unit,X1),X1),X1)) = rd(ld(ld(X1,unit),unit),ld(X1,unit)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.450.2.0','0.458.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.486.0.1',plain,
% 209.14/209.62 ( ld(X1,mult(X1,ld(unit,mult(X1,X1)))) = rd(ld(ld(X1,unit),unit),ld(X1,unit)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.486.0.0','0.422.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.486.0.2',plain,
% 209.14/209.62 ( ld(unit,mult(X1,X1)) = rd(ld(ld(X1,unit),unit),ld(X1,unit)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.486.0.1','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.486.0.3',plain,
% 209.14/209.62 ( mult(X1,X1) = rd(ld(ld(X1,unit),unit),ld(X1,unit)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.486.0.2','0.14.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.486.1.0',plain,
% 209.14/209.62 ( mult(X1,X1) = rd(ld(ld(X1,unit),unit),ld(X1,unit)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.486.0.3']),
% 209.14/209.62 [weight('<129,458,450,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.486.2.0',plain,
% 209.14/209.62 ( rd(ld(ld(X1,unit),unit),ld(X1,unit)) = mult(X1,X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.486.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_486]).
% 209.14/209.62 cnf('0.487.0.0',plain,
% 209.14/209.62 ( mult(ld(ld(X1,unit),unit),op_c) = mult(mult(X1,X1),ld(X1,op_c)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.191.2.0','0.486.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.487.0.1',plain,
% 209.14/209.62 ( ld(ld(X1,unit),mult(unit,op_c)) = mult(mult(X1,X1),ld(X1,op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.487.0.0','0.23.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.487.0.2',plain,
% 209.14/209.62 ( ld(ld(X1,unit),op_c) = mult(mult(X1,X1),ld(X1,op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.487.0.1','0.4.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.487.1.0',plain,
% 209.14/209.62 ( ld(ld(X1,unit),op_c) = mult(mult(X1,X1),ld(X1,op_c)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.487.0.2']),
% 209.14/209.62 [weight('<103,486,191,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.487.2.0',plain,
% 209.14/209.62 ( mult(mult(X1,X1),ld(X1,op_c)) = ld(ld(X1,unit),op_c) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.487.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_487]).
% 209.14/209.62 cnf('0.489.0.0',plain,
% 209.14/209.62 ( ld(ld(ld(X1,ld(op_c,X1)),unit),op_c) = mult(ld(X1,ld(op_c,mult(X1,ld(X1,ld(op_c,X1))))),ld(ld(X1,ld(op_c,X1)),op_c)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.487.2.0','0.377.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.489.0.1',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),op_c) = mult(ld(X1,ld(op_c,mult(X1,ld(X1,ld(op_c,X1))))),ld(ld(X1,ld(op_c,X1)),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.489.0.0','0.465.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.489.0.2',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),op_c) = mult(ld(X1,ld(op_c,ld(rd(X1,X1),ld(op_c,X1)))),ld(ld(X1,ld(op_c,X1)),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.489.0.1','0.423.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1.2.2','L')]).
% 209.14/209.62 cnf('0.489.0.3',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),op_c) = mult(ld(X1,ld(op_c,ld(unit,ld(op_c,X1)))),ld(ld(X1,ld(op_c,X1)),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.489.0.2','0.16.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1.2.2.1','L')]).
% 209.14/209.62 cnf('0.489.0.4',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),op_c) = mult(ld(X1,ld(op_c,ld(op_c,X1))),ld(ld(X1,ld(op_c,X1)),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.489.0.3','0.14.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1.2.2','L')]).
% 209.14/209.62 cnf('0.489.0.5',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),op_c) = mult(ld(X1,ld(op_c,ld(op_c,X1))),ld(X1,mult(op_c,mult(X1,op_c)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.489.0.4','0.474.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.489.0.6',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),op_c) = ld(X1,mult(rd(ld(op_c,ld(op_c,X1)),X1),mult(op_c,mult(X1,op_c)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.489.0.5','0.327.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.489.0.7',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),op_c) = ld(X1,ld(op_c,mult(rd(ld(op_c,X1),X1),mult(op_c,mult(X1,op_c))))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.489.0.6','0.164.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.489.0.8',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),op_c) = ld(X1,ld(op_c,ld(op_c,mult(rd(X1,X1),mult(op_c,mult(X1,op_c)))))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.489.0.7','0.164.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2.2','L')]).
% 209.14/209.62 cnf('0.489.0.9',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),op_c) = ld(X1,ld(op_c,ld(op_c,mult(unit,mult(op_c,mult(X1,op_c)))))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.489.0.8','0.16.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2.2.2.1','L')]).
% 209.14/209.62 cnf('0.489.0.10',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),op_c) = ld(X1,ld(op_c,ld(op_c,mult(op_c,mult(X1,op_c))))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.489.0.9','0.4.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2.2.2','L')]).
% 209.14/209.62 cnf('0.489.0.11',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),op_c) = ld(X1,ld(op_c,mult(X1,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.489.0.10','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2.2','L')]).
% 209.14/209.62 cnf('0.489.1.0',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),op_c) = ld(X1,ld(op_c,mult(X1,op_c))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.489.0.11']),
% 209.14/209.62 [weight('<119,487,377,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.489.2.0',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),op_c) = ld(X1,ld(op_c,mult(X1,op_c))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.489.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_489]).
% 209.14/209.62 cnf('0.490.0.0',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),unit) = rd(ld(X1,ld(op_c,mult(X1,op_c))),op_c) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.44.2.0','0.489.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.490.0.1',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),unit) = ld(X1,ld(op_c,X1)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.490.0.0','0.395.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.490.1.0',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),unit) = ld(X1,ld(op_c,X1)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.490.0.1']),
% 209.14/209.62 [weight('<103,489,44,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.490.2.0',plain,
% 209.14/209.62 ( ld(ld(X1,mult(op_c,X1)),unit) = ld(X1,ld(op_c,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.490.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_490]).
% 209.14/209.62 cnf('0.491.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(op_c,X1)) = rd(unit,ld(X1,ld(op_c,X1))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.19.2.0','0.490.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.491.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(op_c,X1)) = rd(unit,ld(X1,ld(op_c,X1))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.491.0.0']),
% 209.14/209.62 [weight('<103,490,19,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.491.2.0',plain,
% 209.14/209.62 ( rd(unit,ld(X1,ld(op_c,X1))) = ld(X1,mult(op_c,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.491.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_491]).
% 209.14/209.62 cnf('0.495.0.0',plain,
% 209.14/209.62 ( mult(mult(ld(X1,mult(op_c,X1)),X2),ld(X1,mult(op_c,X1))) = mult(ld(X1,mult(op_c,X1)),rd(X2,ld(X1,ld(op_c,X1)))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.452.2.0','0.490.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2','L')]).
% 209.14/209.62 cnf('0.495.0.1',plain,
% 209.14/209.62 ( mult(ld(X1,mult(op_c,mult(X1,X2))),ld(X1,mult(op_c,X1))) = mult(ld(X1,mult(op_c,X1)),rd(X2,ld(X1,ld(op_c,X1)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.495.0.0','0.334.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.495.0.2',plain,
% 209.14/209.62 ( ld(X1,mult(rd(mult(op_c,mult(X1,X2)),X1),mult(op_c,X1))) = mult(ld(X1,mult(op_c,X1)),rd(X2,ld(X1,ld(op_c,X1)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.495.0.1','0.327.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.495.0.3',plain,
% 209.14/209.62 ( ld(X1,mult(op_c,mult(rd(mult(X1,X2),X1),mult(op_c,X1)))) = mult(ld(X1,mult(op_c,X1)),rd(X2,ld(X1,ld(op_c,X1)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.495.0.2','0.151.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.495.0.4',plain,
% 209.14/209.62 ( ld(X1,mult(op_c,mult(X1,mult(X2,ld(X1,mult(op_c,X1)))))) = mult(ld(X1,mult(op_c,X1)),rd(X2,ld(X1,ld(op_c,X1)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.495.0.3','0.447.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2','L')]).
% 209.14/209.62 cnf('0.495.0.5',plain,
% 209.14/209.62 ( ld(X1,mult(op_c,mult(X1,mult(X2,ld(X1,mult(op_c,X1)))))) = ld(X1,mult(op_c,mult(X1,rd(X2,ld(X1,ld(op_c,X1)))))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.495.0.4','0.334.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.495.1.0',plain,
% 209.14/209.62 ( mult(X2,ld(X1,mult(op_c,X1))) = rd(X2,ld(X1,ld(op_c,X1))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.495.0.5']),
% 209.14/209.62 [weight('<119,490,452,[0,0,0,4]>')]).
% 209.14/209.62 cnf('0.495.2.0',plain,
% 209.14/209.62 ( mult(X1,ld(X2,mult(op_c,X2))) = rd(X1,ld(X2,ld(op_c,X2))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.495.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_495]).
% 209.14/209.62 cnf('0.500.0.0',plain,
% 209.14/209.62 ( rd(X1,ld(rd(op_c,X2),ld(op_c,rd(op_c,X2)))) = mult(X1,ld(rd(unit,X2),rd(op_c,X2))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.495.2.0','0.173.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.500.0.1',plain,
% 209.14/209.62 ( rd(X1,ld(rd(op_c,X2),rd(ld(op_c,op_c),X2))) = mult(X1,ld(rd(unit,X2),rd(op_c,X2))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.500.0.0','0.69.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2','L')]).
% 209.14/209.62 cnf('0.500.0.2',plain,
% 209.14/209.62 ( rd(X1,ld(rd(op_c,X2),rd(unit,X2))) = mult(X1,ld(rd(unit,X2),rd(op_c,X2))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.500.0.1','0.15.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2.1','L')]).
% 209.14/209.62 cnf('0.500.0.3',plain,
% 209.14/209.62 ( rd(X1,rd(X2,mult(X2,op_c))) = mult(X1,ld(rd(unit,X2),rd(op_c,X2))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.500.0.2','0.466.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.500.0.4',plain,
% 209.14/209.62 ( rd(X1,rd(X2,mult(X2,op_c))) = mult(X1,rd(mult(X2,op_c),X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.500.0.3','0.404.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.500.0.5',plain,
% 209.14/209.62 ( rd(X1,rd(X2,mult(X2,op_c))) = mult(X1,rd(X2,rd(X2,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.500.0.4','0.58.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.500.0.6',plain,
% 209.14/209.62 ( rd(X1,rd(X2,mult(X2,op_c))) = rd(mult(X1,X2),rd(X2,op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.500.0.5','0.389.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.500.1.0',plain,
% 209.14/209.62 ( rd(X1,rd(X2,mult(X2,op_c))) = rd(mult(X1,X2),rd(X2,op_c)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.500.0.6']),
% 209.14/209.62 [weight('<119,495,173,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.500.2.0',plain,
% 209.14/209.62 ( rd(mult(X1,X2),rd(X2,op_c)) = rd(X1,rd(X2,mult(X2,op_c))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.500.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_500]).
% 209.14/209.62 cnf('0.501.0.0',plain,
% 209.14/209.62 ( mult(X1,rd(X2,rd(X2,op_c))) = rd(mult(X1,X2),rd(X2,op_c)) ),
% 209.14/209.62 inference(interreduction_right,[status(thm)],['0.389.2.0'])).
% 209.14/209.62 cnf('0.501.0.1',plain,
% 209.14/209.62 ( mult(X1,rd(X2,rd(X2,op_c))) = rd(X1,rd(X2,mult(X2,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.501.0.0','0.500.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.501.1.0',plain,
% 209.14/209.62 ( mult(X1,rd(X2,rd(X2,op_c))) = rd(X1,rd(X2,mult(X2,op_c))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.501.0.1']),
% 209.14/209.62 [weight('<119,389,500,[0,0,0,0]>')]).
% 209.14/209.62 cnf('0.501.2.0',plain,
% 209.14/209.62 ( mult(X1,rd(X2,rd(X2,op_c))) = rd(X1,rd(X2,mult(X2,op_c))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.501.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_501]).
% 209.14/209.62 cnf('0.525.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(X2,X1)) = rd(ld(X1,mult(X2,mult(X1,X3))),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.6.2.0','0.334.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.525.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(X2,X1)) = rd(ld(X1,mult(X2,mult(X1,X3))),X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.525.0.0']),
% 209.14/209.62 [weight('<149,334,6,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.525.2.0',plain,
% 209.14/209.62 ( rd(ld(X1,mult(X2,mult(X1,X3))),X3) = ld(X1,mult(X2,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.525.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_525]).
% 209.14/209.62 cnf('0.527.0.0',plain,
% 209.14/209.62 ( mult(rd(op_c,X1),X2) = rd(ld(rd(X1,op_c),mult(X2,X1)),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.378.2.0','0.87.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.527.1.0',plain,
% 209.14/209.62 ( mult(rd(op_c,X1),X2) = rd(ld(rd(X1,op_c),mult(X2,X1)),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.527.0.0']),
% 209.14/209.62 [weight('<149,378,87,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.527.2.0',plain,
% 209.14/209.62 ( rd(ld(rd(X1,op_c),mult(X2,X1)),X1) = mult(rd(op_c,X1),X2) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.527.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_527]).
% 209.14/209.62 cnf('0.529.0.0',plain,
% 209.14/209.62 ( rd(mult(X1,ld(X2,ld(op_c,X2))),X2) = mult(rd(X1,X2),rd(unit,op_c)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.383.2.0','0.63.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.529.0.1',plain,
% 209.14/209.62 ( rd(mult(X1,ld(X2,ld(op_c,X2))),X2) = rd(mult(rd(X1,X2),unit),op_c) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.529.0.0','0.26.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.529.0.2',plain,
% 209.14/209.62 ( rd(mult(X1,ld(X2,ld(op_c,X2))),X2) = rd(rd(X1,X2),op_c) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.529.0.1','0.2.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1','L')]).
% 209.14/209.62 cnf('0.529.0.3',plain,
% 209.14/209.62 ( rd(mult(X1,ld(X2,ld(op_c,X2))),X2) = rd(X1,mult(op_c,X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.529.0.2','0.78.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.529.1.0',plain,
% 209.14/209.62 ( rd(mult(X1,ld(X2,ld(op_c,X2))),X2) = rd(X1,mult(op_c,X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.529.0.3']),
% 209.14/209.62 [weight('<149,383,63,[1,0,0,4]>')]).
% 209.14/209.62 cnf('0.529.1.1',plain,
% 209.14/209.62 ( rd(ld(rd(X2,X1),ld(op_c,X2)),X2) = rd(X1,mult(op_c,X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.529.1.0','0.423.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.529.2.0',plain,
% 209.14/209.62 ( rd(ld(rd(X1,X2),ld(op_c,X1)),X1) = rd(X2,mult(op_c,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.529.1.1',theory(equality)]),
% 209.14/209.62 [u,rule_529]).
% 209.14/209.62 cnf('0.530.0.0',plain,
% 209.14/209.62 ( rd(ld(X1,X2),mult(op_c,X2)) = rd(ld(X1,ld(op_c,X2)),X2) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.529.2.0','0.19.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.1','L')]).
% 209.14/209.62 cnf('0.530.1.0',plain,
% 209.14/209.62 ( rd(ld(X1,X2),mult(op_c,X2)) = rd(ld(X1,ld(op_c,X2)),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.530.0.0']),
% 209.14/209.62 [weight('<119,529,19,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.530.2.0',plain,
% 209.14/209.62 ( rd(ld(X1,ld(op_c,X2)),X2) = rd(ld(X1,X2),mult(op_c,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.530.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_530]).
% 209.14/209.62 cnf('0.542.0.0',plain,
% 209.14/209.62 ( mult(rd(X1,X2),X3) = rd(mult(X1,X3),ld(X3,mult(X2,X3))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.411.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.1','L')]).
% 209.14/209.62 cnf('0.542.1.0',plain,
% 209.14/209.62 ( mult(rd(X1,X2),X3) = rd(mult(X1,X3),ld(X3,mult(X2,X3))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.542.0.0']),
% 209.14/209.62 [weight('<149,411,3,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.542.2.0',plain,
% 209.14/209.62 ( rd(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(rd(X1,X3),X2) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.542.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_542]).
% 209.14/209.62 cnf('0.543.0.0',plain,
% 209.14/209.62 ( mult(rd(rd(X1,X2),X3),X2) = rd(X1,ld(X2,mult(X3,X2))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.542.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.543.1.0',plain,
% 209.14/209.62 ( mult(rd(rd(X1,X2),X3),X2) = rd(X1,ld(X2,mult(X3,X2))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.543.0.0']),
% 209.14/209.62 [weight('<119,542,3,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.543.2.0',plain,
% 209.14/209.62 ( mult(rd(rd(X1,X2),X3),X2) = rd(X1,ld(X2,mult(X3,X2))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.543.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_543]).
% 209.14/209.62 cnf('0.549.0.0',plain,
% 209.14/209.62 ( ld(rd(X1,X2),X3) = rd(mult(X2,ld(X1,mult(X3,X2))),X2) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.6.2.0','0.422.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.549.1.0',plain,
% 209.14/209.62 ( ld(rd(X1,X2),X3) = rd(mult(X2,ld(X1,mult(X3,X2))),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.549.0.0']),
% 209.14/209.62 [weight('<149,422,6,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.549.2.0',plain,
% 209.14/209.62 ( rd(mult(X1,ld(X2,mult(X3,X1))),X1) = ld(rd(X2,X1),X3) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.549.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_549]).
% 209.14/209.62 cnf('0.550.0.0',plain,
% 209.14/209.62 ( ld(rd(X1,X2),rd(X3,X2)) = rd(mult(X2,ld(X1,X3)),X2) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.549.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2.2','L')]).
% 209.14/209.62 cnf('0.550.1.0',plain,
% 209.14/209.62 ( ld(rd(X1,X2),rd(X3,X2)) = rd(mult(X2,ld(X1,X3)),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.550.0.0']),
% 209.14/209.62 [weight('<119,549,3,[1,0,0,5]>')]).
% 209.14/209.62 cnf('0.550.2.0',plain,
% 209.14/209.62 ( ld(rd(X1,X2),rd(X3,X2)) = rd(mult(X2,ld(X1,X3)),X2) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.550.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_550]).
% 209.14/209.62 cnf('0.551.0.0',plain,
% 209.14/209.62 ( ld(X1,rd(X2,X3)) = rd(mult(X3,ld(mult(X1,X3),X2)),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.6.2.0','0.426.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.551.1.0',plain,
% 209.14/209.62 ( ld(X1,rd(X2,X3)) = rd(mult(X3,ld(mult(X1,X3),X2)),X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.551.0.0']),
% 209.14/209.62 [weight('<149,426,6,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.551.2.0',plain,
% 209.14/209.62 ( rd(mult(X1,ld(mult(X2,X1),X3)),X1) = ld(X2,rd(X3,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.551.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_551]).
% 209.14/209.62 cnf('0.563.0.0',plain,
% 209.14/209.62 ( mult(rd(X1,op_c),ld(mult(X1,rd(X1,op_c)),X1)) = mult(ld(rd(X1,op_c),unit),rd(X1,op_c)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.426.2.0','0.445.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.563.0.1',plain,
% 209.14/209.62 ( mult(X1,ld(op_c,ld(mult(X1,rd(X1,op_c)),X1))) = mult(ld(rd(X1,op_c),unit),rd(X1,op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.563.0.0','0.30.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.563.0.2',plain,
% 209.14/209.62 ( mult(X1,ld(op_c,ld(rd(mult(X1,X1),op_c),X1))) = mult(ld(rd(X1,op_c),unit),rd(X1,op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.563.0.1','0.26.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2.1','L')]).
% 209.14/209.62 cnf('0.563.0.3',plain,
% 209.14/209.62 ( mult(X1,ld(mult(X1,X1),X1)) = mult(ld(rd(X1,op_c),unit),rd(X1,op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.563.0.2','0.89.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.563.0.4',plain,
% 209.14/209.62 ( mult(ld(X1,unit),X1) = mult(ld(rd(X1,op_c),unit),rd(X1,op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.563.0.3','0.241.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.563.0.5',plain,
% 209.14/209.62 ( mult(ld(X1,unit),X1) = mult(op_c,mult(ld(X1,unit),rd(X1,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.563.0.4','0.178.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.563.0.6',plain,
% 209.14/209.62 ( mult(ld(X1,unit),X1) = mult(op_c,rd(mult(ld(X1,unit),X1),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.563.0.5','0.26.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.563.0.7',plain,
% 209.14/209.62 ( mult(ld(X1,unit),X1) = rd(mult(op_c,mult(ld(X1,unit),X1)),op_c) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.563.0.6','0.40.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.563.1.0',plain,
% 209.14/209.62 ( mult(ld(X1,unit),X1) = rd(mult(op_c,mult(ld(X1,unit),X1)),op_c) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.563.0.7']),
% 209.14/209.62 [weight('<149,445,426,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.563.2.0',plain,
% 209.14/209.62 ( rd(mult(op_c,mult(ld(X1,unit),X1)),op_c) = mult(ld(X1,unit),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.563.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_563]).
% 209.14/209.62 cnf('0.564.0.0',plain,
% 209.14/209.62 ( mult(op_c,mult(ld(X1,unit),X1)) = mult(mult(ld(X1,unit),X1),op_c) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.3.2.0','0.563.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.564.0.1',plain,
% 209.14/209.62 ( mult(op_c,mult(ld(X1,unit),X1)) = mult(ld(X1,unit),mult(X1,op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.564.0.0','0.8.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.564.1.0',plain,
% 209.14/209.62 ( mult(op_c,mult(ld(X1,unit),X1)) = mult(ld(X1,unit),mult(X1,op_c)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.564.0.1']),
% 209.14/209.62 [weight('<119,563,3,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.564.2.0',plain,
% 209.14/209.62 ( mult(ld(X1,unit),mult(X1,op_c)) = mult(op_c,mult(ld(X1,unit),X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.564.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_564]).
% 209.14/209.62 cnf('0.573.0.0',plain,
% 209.14/209.62 ( rd(mult(X1,X2),X1) = rd(mult(X1,mult(X2,ld(X1,X3))),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.6.2.0','0.447.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.573.1.0',plain,
% 209.14/209.62 ( rd(mult(X1,X2),X1) = rd(mult(X1,mult(X2,ld(X1,X3))),X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.573.0.0']),
% 209.14/209.62 [weight('<149,447,6,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.573.2.0',plain,
% 209.14/209.62 ( rd(mult(X1,mult(X2,ld(X1,X3))),X3) = rd(mult(X1,X2),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.573.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_573]).
% 209.14/209.62 cnf('0.582.0.0',plain,
% 209.14/209.62 ( mult(mult(rd(unit,X1),X2),rd(unit,X1)) = mult(rd(unit,X1),rd(X2,X1)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.452.2.0','0.18.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2','L')]).
% 209.14/209.62 cnf('0.582.0.1',plain,
% 209.14/209.62 ( mult(mult(rd(unit,X1),X2),rd(unit,X1)) = rd(mult(unit,ld(X1,X2)),X1) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.582.0.0','0.383.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.582.0.2',plain,
% 209.14/209.62 ( mult(mult(rd(unit,X1),X2),rd(unit,X1)) = rd(ld(X1,X2),X1) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.582.0.1','0.4.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1','L')]).
% 209.14/209.62 cnf('0.582.1.0',plain,
% 209.14/209.62 ( mult(mult(rd(unit,X1),X2),rd(unit,X1)) = rd(ld(X1,X2),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.582.0.2']),
% 209.14/209.62 [weight('<149,452,18,[1,0,0,4]>')]).
% 209.14/209.62 cnf('0.582.2.0',plain,
% 209.14/209.62 ( mult(mult(rd(unit,X1),X2),rd(unit,X1)) = rd(ld(X1,X2),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.582.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_582]).
% 209.14/209.62 cnf('0.583.0.0',plain,
% 209.14/209.62 ( rd(ld(rd(X1,mult(X1,op_c)),X2),rd(X1,mult(X1,op_c))) = mult(mult(rd(X1,rd(X1,op_c)),X2),rd(unit,rd(X1,mult(X1,op_c)))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.582.2.0','0.253.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.1','L')]).
% 209.14/209.62 cnf('0.583.0.1',plain,
% 209.14/209.62 ( rd(ld(rd(X1,mult(X1,op_c)),X2),rd(X1,mult(X1,op_c))) = mult(mult(X1,ld(rd(X1,op_c),X2)),rd(unit,rd(X1,mult(X1,op_c)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.583.0.0','0.455.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1','L')]).
% 209.14/209.62 cnf('0.583.0.2',plain,
% 209.14/209.62 ( rd(ld(rd(X1,mult(X1,op_c)),X2),rd(X1,mult(X1,op_c))) = mult(mult(X1,ld(rd(X1,op_c),X2)),rd(X1,rd(X1,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.583.0.1','0.253.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.583.0.3',plain,
% 209.14/209.62 ( rd(ld(rd(X1,mult(X1,op_c)),X2),rd(X1,mult(X1,op_c))) = rd(mult(X1,ld(rd(X1,op_c),X2)),rd(X1,mult(X1,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.583.0.2','0.501.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.583.1.0',plain,
% 209.14/209.62 ( ld(rd(X1,mult(X1,op_c)),X2) = mult(X1,ld(rd(X1,op_c),X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.583.0.3']),
% 209.14/209.62 [weight('<119,582,253,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.583.2.0',plain,
% 209.14/209.62 ( mult(X1,ld(rd(X1,op_c),X2)) = ld(rd(X1,mult(X1,op_c)),X2) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.583.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_583]).
% 209.14/209.62 cnf('0.586.0.0',plain,
% 209.14/209.62 ( rd(ld(ld(X1,ld(op_c,X1)),X2),ld(X1,ld(op_c,X1))) = mult(mult(rd(unit,ld(X1,ld(op_c,X1))),X2),ld(X1,mult(op_c,X1))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.582.2.0','0.491.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.586.0.1',plain,
% 209.14/209.62 ( rd(ld(ld(X1,ld(op_c,X1)),X2),ld(X1,ld(op_c,X1))) = rd(mult(rd(unit,ld(X1,ld(op_c,X1))),X2),ld(X1,ld(op_c,X1))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.586.0.0','0.495.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.586.0.2',plain,
% 209.14/209.62 ( rd(ld(ld(X1,ld(op_c,X1)),X2),ld(X1,ld(op_c,X1))) = rd(mult(ld(X1,mult(op_c,X1)),X2),ld(X1,ld(op_c,X1))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.586.0.1','0.491.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1.1','L')]).
% 209.14/209.62 cnf('0.586.0.3',plain,
% 209.14/209.62 ( rd(ld(ld(X1,ld(op_c,X1)),X2),ld(X1,ld(op_c,X1))) = rd(ld(X1,mult(op_c,mult(X1,X2))),ld(X1,ld(op_c,X1))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.586.0.2','0.334.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1','L')]).
% 209.14/209.62 cnf('0.586.1.0',plain,
% 209.14/209.62 ( ld(ld(X1,ld(op_c,X1)),X2) = ld(X1,mult(op_c,mult(X1,X2))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.586.0.3']),
% 209.14/209.62 [weight('<119,582,491,[1,0,0,6]>')]).
% 209.14/209.62 cnf('0.586.2.0',plain,
% 209.14/209.62 ( ld(ld(X1,ld(op_c,X1)),X2) = ld(X1,mult(op_c,mult(X1,X2))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.586.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_586]).
% 209.14/209.62 cnf('0.622.0.0',plain,
% 209.14/209.62 ( rd(ld(X1,X2),rd(ld(X2,op_c),mult(ld(X2,op_c),op_c))) = rd(ld(X2,ld(rd(X1,X2),op_c)),rd(ld(X2,op_c),op_c)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.500.2.0','0.456.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.622.0.1',plain,
% 209.14/209.62 ( rd(ld(X1,X2),rd(ld(X2,unit),ld(X2,op_c))) = rd(ld(X2,ld(rd(X1,X2),op_c)),rd(ld(X2,op_c),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.622.0.0','0.107.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.622.0.2',plain,
% 209.14/209.62 ( rd(ld(X1,X2),ld(X2,ld(op_c,X2))) = rd(ld(X2,ld(rd(X1,X2),op_c)),rd(ld(X2,op_c),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.622.0.1','0.464.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.622.0.3',plain,
% 209.14/209.62 ( rd(ld(X1,X2),ld(X2,ld(op_c,X2))) = rd(ld(X2,ld(rd(X1,X2),op_c)),ld(X2,unit)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.622.0.2','0.44.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.622.0.4',plain,
% 209.14/209.62 ( rd(ld(X1,X2),ld(X2,ld(op_c,X2))) = ld(X2,mult(ld(rd(X1,X2),op_c),X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.622.0.3','0.450.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.622.0.5',plain,
% 209.14/209.62 ( rd(ld(X1,X2),ld(X2,ld(op_c,X2))) = ld(X2,mult(X2,ld(X1,mult(op_c,X2)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.622.0.4','0.422.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.622.0.6',plain,
% 209.14/209.62 ( rd(ld(X1,X2),ld(X2,ld(op_c,X2))) = ld(X1,mult(op_c,X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.622.0.5','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.622.1.0',plain,
% 209.14/209.62 ( rd(ld(X1,X2),ld(X2,ld(op_c,X2))) = ld(X1,mult(op_c,X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.622.0.6']),
% 209.14/209.62 [weight('<149,500,456,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.622.2.0',plain,
% 209.14/209.62 ( rd(ld(X1,X2),ld(X2,ld(op_c,X2))) = ld(X1,mult(op_c,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.622.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_622]).
% 209.14/209.62 cnf('0.623.0.0',plain,
% 209.14/209.62 ( ld(rd(X1,X2),mult(op_c,X1)) = rd(X2,ld(X1,ld(op_c,X1))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.622.2.0','0.18.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.623.1.0',plain,
% 209.14/209.62 ( ld(rd(X1,X2),mult(op_c,X1)) = rd(X2,ld(X1,ld(op_c,X1))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.623.0.0']),
% 209.14/209.62 [weight('<119,622,18,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.623.2.0',plain,
% 209.14/209.62 ( ld(rd(X1,X2),mult(op_c,X1)) = rd(X2,ld(X1,ld(op_c,X1))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.623.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_623]).
% 209.14/209.62 cnf('0.628.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(X2,X1)) = rd(ld(X1,mult(X2,X3)),ld(X1,X3)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.525.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2.2','L')]).
% 209.14/209.62 cnf('0.628.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(X2,X1)) = rd(ld(X1,mult(X2,X3)),ld(X1,X3)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.628.0.0']),
% 209.14/209.62 [weight('<149,525,1,[1,0,0,5]>')]).
% 209.14/209.62 cnf('0.628.2.0',plain,
% 209.14/209.62 ( rd(ld(X1,mult(X2,X3)),ld(X1,X3)) = ld(X1,mult(X2,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.628.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_628]).
% 209.14/209.62 cnf('0.629.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(rd(X2,X3),X1)) = rd(ld(X1,X2),ld(X1,X3)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.628.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.629.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(rd(X2,X3),X1)) = rd(ld(X1,X2),ld(X1,X3)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.629.0.0']),
% 209.14/209.62 [weight('<119,628,3,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.629.2.0',plain,
% 209.14/209.62 ( ld(X1,mult(rd(X2,X3),X1)) = rd(ld(X1,X2),ld(X1,X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.629.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_629]).
% 209.14/209.62 cnf('0.632.0.0',plain,
% 209.14/209.62 ( mult(rd(op_c,ld(X1,op_c)),rd(X2,ld(X1,unit))) = rd(ld(rd(ld(X1,op_c),op_c),mult(X2,op_c)),ld(X1,op_c)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.527.2.0','0.191.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.632.0.1',plain,
% 209.14/209.62 ( mult(X1,rd(X2,ld(X1,unit))) = rd(ld(rd(ld(X1,op_c),op_c),mult(X2,op_c)),ld(X1,op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.632.0.0','0.19.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.632.0.2',plain,
% 209.14/209.62 ( mult(mult(X1,X2),X1) = rd(ld(rd(ld(X1,op_c),op_c),mult(X2,op_c)),ld(X1,op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.632.0.1','0.452.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.632.0.3',plain,
% 209.14/209.62 ( mult(mult(X1,X2),X1) = rd(ld(rd(ld(X1,op_c),op_c),X2),rd(ld(X1,op_c),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.632.0.2','0.156.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.632.0.4',plain,
% 209.14/209.62 ( mult(mult(X1,X2),X1) = rd(ld(ld(X1,unit),X2),rd(ld(X1,op_c),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.632.0.3','0.44.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1.1','L')]).
% 209.14/209.62 cnf('0.632.0.5',plain,
% 209.14/209.62 ( mult(mult(X1,X2),X1) = rd(ld(ld(X1,unit),X2),ld(X1,unit)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.632.0.4','0.44.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.632.1.0',plain,
% 209.14/209.62 ( mult(mult(X1,X2),X1) = rd(ld(ld(X1,unit),X2),ld(X1,unit)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.632.0.5']),
% 209.14/209.62 [weight('<149,527,191,[1,0,0,5]>')]).
% 209.14/209.62 cnf('0.632.2.0',plain,
% 209.14/209.62 ( rd(ld(ld(X1,unit),X2),ld(X1,unit)) = mult(mult(X1,X2),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.632.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_632]).
% 209.14/209.62 cnf('0.639.0.0',plain,
% 209.14/209.62 ( rd(rd(X1,X2),X3) = rd(rd(X1,ld(X2,mult(X3,X2))),X2) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.6.2.0','0.543.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.639.1.0',plain,
% 209.14/209.62 ( rd(rd(X1,X2),X3) = rd(rd(X1,ld(X2,mult(X3,X2))),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.639.0.0']),
% 209.14/209.62 [weight('<149,543,6,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.639.2.0',plain,
% 209.14/209.62 ( rd(rd(X1,ld(X2,mult(X3,X2))),X2) = rd(rd(X1,X2),X3) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.639.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_639]).
% 209.14/209.62 cnf('0.640.0.0',plain,
% 209.14/209.62 ( rd(rd(X1,X2),rd(X3,X2)) = rd(rd(X1,ld(X2,X3)),X2) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.639.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2.2','L')]).
% 209.14/209.62 cnf('0.640.1.0',plain,
% 209.14/209.62 ( rd(rd(X1,X2),rd(X3,X2)) = rd(rd(X1,ld(X2,X3)),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.640.0.0']),
% 209.14/209.62 [weight('<119,639,3,[1,0,0,5]>')]).
% 209.14/209.62 cnf('0.640.2.0',plain,
% 209.14/209.62 ( rd(rd(X1,ld(X2,X3)),X2) = rd(rd(X1,X2),rd(X3,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.640.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_640]).
% 209.14/209.62 cnf('0.649.0.0',plain,
% 209.14/209.62 ( ld(rd(rd(mult(X1,X2),X3),X2),X1) = rd(mult(X2,X3),X2) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.549.2.0','0.18.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.649.1.0',plain,
% 209.14/209.62 ( ld(rd(rd(mult(X1,X2),X3),X2),X1) = rd(mult(X2,X3),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.649.0.0']),
% 209.14/209.62 [weight('<149,549,18,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.649.2.0',plain,
% 209.14/209.62 ( ld(rd(rd(mult(X1,X2),X3),X2),X1) = rd(mult(X2,X3),X2) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.649.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_649]).
% 209.14/209.62 cnf('0.650.0.0',plain,
% 209.14/209.62 ( rd(rd(mult(X1,X2),X3),X2) = rd(X1,rd(mult(X2,X3),X2)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.19.2.0','0.649.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.650.1.0',plain,
% 209.14/209.62 ( rd(rd(mult(X1,X2),X3),X2) = rd(X1,rd(mult(X2,X3),X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.650.0.0']),
% 209.14/209.62 [weight('<119,649,19,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.650.2.0',plain,
% 209.14/209.62 ( rd(rd(mult(X1,X2),X3),X2) = rd(X1,rd(mult(X2,X3),X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.650.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_650]).
% 209.14/209.62 cnf('0.659.0.0',plain,
% 209.14/209.62 ( rd(mult(X1,rd(X2,ld(X1,X3))),X1) = rd(mult(X1,X2),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.573.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.659.1.0',plain,
% 209.14/209.62 ( rd(mult(X1,rd(X2,ld(X1,X3))),X1) = rd(mult(X1,X2),X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.659.0.0']),
% 209.14/209.62 [weight('<149,573,3,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.659.2.0',plain,
% 209.14/209.62 ( rd(mult(X1,rd(X2,ld(X1,X3))),X1) = rd(mult(X1,X2),X3) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.659.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_659]).
% 209.14/209.62 cnf('0.660.0.0',plain,
% 209.14/209.62 ( mult(X1,rd(X2,ld(X1,X3))) = mult(rd(mult(X1,X2),X3),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.3.2.0','0.659.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.660.1.0',plain,
% 209.14/209.62 ( mult(X1,rd(X2,ld(X1,X3))) = mult(rd(mult(X1,X2),X3),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.660.0.0']),
% 209.14/209.62 [weight('<119,659,3,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.660.2.0',plain,
% 209.14/209.62 ( mult(rd(mult(X1,X2),X3),X1) = mult(X1,rd(X2,ld(X1,X3))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.660.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_660]).
% 209.14/209.62 cnf('0.661.0.0',plain,
% 209.14/209.62 ( mult(X1,rd(unit,ld(X1,X2))) = mult(rd(X1,X2),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.660.2.0','0.2.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.1','L')]).
% 209.14/209.62 cnf('0.661.1.0',plain,
% 209.14/209.62 ( mult(X1,rd(unit,ld(X1,X2))) = mult(rd(X1,X2),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.661.0.0']),
% 209.14/209.62 [weight('<103,660,2,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.661.2.0',plain,
% 209.14/209.62 ( mult(X1,rd(unit,ld(X1,X2))) = mult(rd(X1,X2),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.661.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_661]).
% 209.14/209.62 cnf('0.662.0.0',plain,
% 209.14/209.62 ( mult(rd(X1,mult(X1,X2)),X1) = mult(X1,rd(unit,X2)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.661.2.0','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2','L')]).
% 209.14/209.62 cnf('0.662.1.0',plain,
% 209.14/209.62 ( mult(rd(X1,mult(X1,X2)),X1) = mult(X1,rd(unit,X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.662.0.0']),
% 209.14/209.62 [weight('<103,661,5,[1,0,0,4]>')]).
% 209.14/209.62 cnf('0.662.2.0',plain,
% 209.14/209.62 ( mult(rd(X1,mult(X1,X2)),X1) = mult(X1,rd(unit,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.662.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_662]).
% 209.14/209.62 cnf('0.663.0.0',plain,
% 209.14/209.62 ( rd(X1,mult(X1,X2)) = rd(mult(X1,rd(unit,X2)),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.6.2.0','0.662.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.663.1.0',plain,
% 209.14/209.62 ( rd(X1,mult(X1,X2)) = rd(mult(X1,rd(unit,X2)),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.663.0.0']),
% 209.14/209.62 [weight('<103,662,6,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.663.2.0',plain,
% 209.14/209.62 ( rd(mult(X1,rd(unit,X2)),X1) = rd(X1,mult(X1,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.663.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_663]).
% 209.14/209.62 cnf('0.664.0.0',plain,
% 209.14/209.62 ( rd(X1,mult(X1,ld(X2,unit))) = rd(mult(X1,X2),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.663.2.0','0.19.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.664.1.0',plain,
% 209.14/209.62 ( rd(X1,mult(X1,ld(X2,unit))) = rd(mult(X1,X2),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.664.0.0']),
% 209.14/209.62 [weight('<103,663,19,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.664.2.0',plain,
% 209.14/209.62 ( rd(X1,mult(X1,ld(X2,unit))) = rd(mult(X1,X2),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.664.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_664]).
% 209.14/209.62 cnf('0.665.0.0',plain,
% 209.14/209.62 ( mult(X1,ld(X2,unit)) = ld(rd(mult(X1,X2),X1),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.18.2.0','0.664.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.665.1.0',plain,
% 209.14/209.62 ( mult(X1,ld(X2,unit)) = ld(rd(mult(X1,X2),X1),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.665.0.0']),
% 209.14/209.62 [weight('<103,664,18,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.665.2.0',plain,
% 209.14/209.62 ( ld(rd(mult(X1,X2),X1),X1) = mult(X1,ld(X2,unit)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.665.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_665]).
% 209.14/209.62 cnf('0.666.0.0',plain,
% 209.14/209.62 ( mult(X1,ld(ld(X1,X2),unit)) = ld(rd(X2,X1),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.665.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.1','L')]).
% 209.14/209.62 cnf('0.666.1.0',plain,
% 209.14/209.62 ( mult(X1,ld(ld(X1,X2),unit)) = ld(rd(X2,X1),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.666.0.0']),
% 209.14/209.62 [weight('<103,665,1,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.666.2.0',plain,
% 209.14/209.62 ( mult(X1,ld(ld(X1,X2),unit)) = ld(rd(X2,X1),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.666.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_666]).
% 209.14/209.62 cnf('0.667.0.0',plain,
% 209.14/209.62 ( ld(ld(X1,X2),unit) = ld(X1,ld(rd(X2,X1),X1)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.5.2.0','0.666.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.667.1.0',plain,
% 209.14/209.62 ( ld(ld(X1,X2),unit) = ld(X1,ld(rd(X2,X1),X1)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.667.0.0']),
% 209.14/209.62 [weight('<103,666,5,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.667.2.0',plain,
% 209.14/209.62 ( ld(X1,ld(rd(X2,X1),X1)) = ld(ld(X1,X2),unit) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.667.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_667]).
% 209.14/209.62 cnf('0.668.0.0',plain,
% 209.14/209.62 ( ld(ld(X1,mult(X2,X1)),unit) = ld(X1,ld(X2,X1)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.667.2.0','0.6.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.668.1.0',plain,
% 209.14/209.62 ( ld(ld(X1,mult(X2,X1)),unit) = ld(X1,ld(X2,X1)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.668.0.0']),
% 209.14/209.62 [weight('<103,667,6,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.668.2.0',plain,
% 209.14/209.62 ( ld(ld(X1,mult(X2,X1)),unit) = ld(X1,ld(X2,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.668.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_668]).
% 209.14/209.62 cnf('0.670.0.0',plain,
% 209.14/209.62 ( rd(mult(X1,X2),mult(X1,X3)) = rd(mult(X1,rd(X2,X3)),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.659.2.0','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2.2','L')]).
% 209.14/209.62 cnf('0.670.1.0',plain,
% 209.14/209.62 ( rd(mult(X1,X2),mult(X1,X3)) = rd(mult(X1,rd(X2,X3)),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.670.0.0']),
% 209.14/209.62 [weight('<119,659,5,[1,0,0,5]>')]).
% 209.14/209.62 cnf('0.670.2.0',plain,
% 209.14/209.62 ( rd(mult(X1,rd(X2,X3)),X1) = rd(mult(X1,X2),mult(X1,X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.670.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_670]).
% 209.14/209.62 cnf('0.672.0.0',plain,
% 209.14/209.62 ( rd(mult(X1,ld(op_c,X2)),X1) = rd(X1,mult(X1,ld(X2,mult(op_c,unit)))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.664.2.0','0.91.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2','L')]).
% 209.14/209.62 cnf('0.672.0.1',plain,
% 209.14/209.62 ( rd(mult(X1,ld(op_c,X2)),X1) = rd(X1,mult(X1,ld(X2,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.672.0.0','0.2.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2.2.2','L')]).
% 209.14/209.62 cnf('0.672.1.0',plain,
% 209.14/209.62 ( rd(mult(X1,ld(op_c,X2)),X1) = rd(X1,mult(X1,ld(X2,op_c))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.672.0.1']),
% 209.14/209.62 [weight('<119,664,91,[1,0,0,4]>')]).
% 209.14/209.62 cnf('0.672.2.0',plain,
% 209.14/209.62 ( rd(mult(X1,ld(op_c,X2)),X1) = rd(X1,mult(X1,ld(X2,op_c))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.672.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_672]).
% 209.14/209.62 cnf('0.677.0.0',plain,
% 209.14/209.62 ( mult(op_c,ld(X1,mult(X2,X1))) = rd(mult(op_c,unit),ld(X1,ld(X2,X1))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.70.2.0','0.668.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.677.0.1',plain,
% 209.14/209.62 ( ld(rd(X1,op_c),mult(X2,X1)) = rd(mult(op_c,unit),ld(X1,ld(X2,X1))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.677.0.0','0.87.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.677.0.2',plain,
% 209.14/209.62 ( ld(rd(X1,op_c),mult(X2,X1)) = rd(op_c,ld(X1,ld(X2,X1))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.677.0.1','0.2.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1','L')]).
% 209.14/209.62 cnf('0.677.1.0',plain,
% 209.14/209.62 ( ld(rd(X1,op_c),mult(X2,X1)) = rd(op_c,ld(X1,ld(X2,X1))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.677.0.2']),
% 209.14/209.62 [weight('<119,668,70,[0,0,0,4]>')]).
% 209.14/209.62 cnf('0.677.2.0',plain,
% 209.14/209.62 ( ld(rd(X1,op_c),mult(X2,X1)) = rd(op_c,ld(X1,ld(X2,X1))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.677.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_677]).
% 209.14/209.62 cnf('0.680.0.0',plain,
% 209.14/209.62 ( ld(rd(rd(X1,op_c),X1),X2) = rd(mult(X1,rd(op_c,ld(X1,ld(X2,X1)))),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.549.2.0','0.677.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.680.0.1',plain,
% 209.14/209.62 ( ld(rd(X1,mult(X1,op_c)),X2) = rd(mult(X1,rd(op_c,ld(X1,ld(X2,X1)))),X1) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.680.0.0','0.60.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.680.0.2',plain,
% 209.14/209.62 ( ld(rd(X1,mult(X1,op_c)),X2) = rd(mult(X1,op_c),mult(X1,ld(X1,ld(X2,X1)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.680.0.1','0.670.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.680.0.3',plain,
% 209.14/209.62 ( ld(rd(X1,mult(X1,op_c)),X2) = rd(X1,rd(mult(X1,ld(X1,ld(X2,X1))),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.680.0.2','0.58.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.680.0.4',plain,
% 209.14/209.62 ( ld(rd(X1,mult(X1,op_c)),X2) = rd(X1,rd(ld(X2,X1),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.680.0.3','0.1.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2.1','L')]).
% 209.14/209.62 cnf('0.680.1.0',plain,
% 209.14/209.62 ( ld(rd(X1,mult(X1,op_c)),X2) = rd(X1,rd(ld(X2,X1),op_c)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.680.0.4']),
% 209.14/209.62 [weight('<119,677,549,[0,0,0,3]>')]).
% 209.14/209.62 cnf('0.680.2.0',plain,
% 209.14/209.62 ( ld(rd(X1,mult(X1,op_c)),X2) = rd(X1,rd(ld(X2,X1),op_c)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.680.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_680]).
% 209.14/209.62 cnf('0.681.0.0',plain,
% 209.14/209.62 ( mult(X1,ld(rd(X1,op_c),X2)) = ld(rd(X1,mult(X1,op_c)),X2) ),
% 209.14/209.62 inference(interreduction_right,[status(thm)],['0.583.2.0'])).
% 209.14/209.62 cnf('0.681.0.1',plain,
% 209.14/209.62 ( mult(X1,ld(rd(X1,op_c),X2)) = rd(X1,rd(ld(X2,X1),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.681.0.0','0.680.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.681.1.0',plain,
% 209.14/209.62 ( mult(X1,ld(rd(X1,op_c),X2)) = rd(X1,rd(ld(X2,X1),op_c)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.681.0.1']),
% 209.14/209.62 [weight('<119,583,680,[0,0,0,0]>')]).
% 209.14/209.62 cnf('0.681.2.0',plain,
% 209.14/209.62 ( mult(X1,ld(rd(X1,op_c),X2)) = rd(X1,rd(ld(X2,X1),op_c)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.681.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_681]).
% 209.14/209.62 cnf('0.706.0.0',plain,
% 209.14/209.62 ( rd(ld(rd(X1,op_c),mult(X2,X1)),X1) = mult(rd(op_c,X1),X2) ),
% 209.14/209.62 inference(interreduction_right,[status(thm)],['0.527.2.0'])).
% 209.14/209.62 cnf('0.706.0.1',plain,
% 209.14/209.62 ( rd(rd(op_c,ld(X1,ld(X2,X1))),X1) = mult(rd(op_c,X1),X2) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.706.0.0','0.677.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.706.0.2',plain,
% 209.14/209.62 ( rd(rd(op_c,X1),rd(ld(X2,X1),X1)) = mult(rd(op_c,X1),X2) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.706.0.1','0.640.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.706.1.0',plain,
% 209.14/209.62 ( rd(rd(op_c,X1),rd(ld(X2,X1),X1)) = mult(rd(op_c,X1),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.706.0.2']),
% 209.14/209.62 [weight('<149,527,677,[0,0,0,0]>')]).
% 209.14/209.62 cnf('0.706.2.0',plain,
% 209.14/209.62 ( rd(rd(op_c,X1),rd(ld(X2,X1),X1)) = mult(rd(op_c,X1),X2) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.706.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_706]).
% 209.14/209.62 cnf('0.707.0.0',plain,
% 209.14/209.62 ( mult(rd(op_c,X1),rd(X1,X2)) = rd(rd(op_c,X1),rd(X2,X1)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.706.2.0','0.18.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.707.1.0',plain,
% 209.14/209.62 ( mult(rd(op_c,X1),rd(X1,X2)) = rd(rd(op_c,X1),rd(X2,X1)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.707.0.0']),
% 209.14/209.62 [weight('<119,706,18,[1,0,0,5]>')]).
% 209.14/209.62 cnf('0.707.2.0',plain,
% 209.14/209.62 ( mult(rd(op_c,X1),rd(X1,X2)) = rd(rd(op_c,X1),rd(X2,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.707.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_707]).
% 209.14/209.62 cnf('0.709.0.0',plain,
% 209.14/209.62 ( mult(rd(op_c,ld(X1,op_c)),rd(ld(X1,unit),X2)) = rd(rd(op_c,ld(X1,op_c)),rd(mult(X2,op_c),ld(X1,op_c))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.706.2.0','0.200.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.709.0.1',plain,
% 209.14/209.62 ( mult(X1,rd(ld(X1,unit),X2)) = rd(rd(op_c,ld(X1,op_c)),rd(mult(X2,op_c),ld(X1,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.709.0.0','0.19.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.709.0.2',plain,
% 209.14/209.62 ( mult(X1,rd(ld(X1,unit),X2)) = rd(X1,rd(mult(X2,op_c),ld(X1,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.709.0.1','0.19.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1','L')]).
% 209.14/209.62 cnf('0.709.0.3',plain,
% 209.14/209.62 ( mult(X1,rd(ld(X1,unit),X2)) = rd(X1,rd(X2,rd(ld(X1,op_c),op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.709.0.2','0.58.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.709.0.4',plain,
% 209.14/209.62 ( mult(X1,rd(ld(X1,unit),X2)) = rd(X1,rd(X2,ld(X1,unit))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.709.0.3','0.44.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2.2','L')]).
% 209.14/209.62 cnf('0.709.1.0',plain,
% 209.14/209.62 ( mult(X1,rd(ld(X1,unit),X2)) = rd(X1,rd(X2,ld(X1,unit))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.709.0.4']),
% 209.14/209.62 [weight('<119,706,200,[1,0,0,5]>')]).
% 209.14/209.62 cnf('0.709.2.0',plain,
% 209.14/209.62 ( mult(X1,rd(ld(X1,unit),X2)) = rd(X1,rd(X2,ld(X1,unit))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.709.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_709]).
% 209.14/209.62 cnf('0.710.0.0',plain,
% 209.14/209.62 ( rd(rd(op_c,ld(X1,op_c)),rd(X2,ld(X1,op_c))) = mult(X1,rd(ld(X1,op_c),X2)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.707.2.0','0.19.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.710.0.1',plain,
% 209.14/209.62 ( rd(X1,rd(X2,ld(X1,op_c))) = mult(X1,rd(ld(X1,op_c),X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.710.0.0','0.19.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.710.1.0',plain,
% 209.14/209.62 ( rd(X1,rd(X2,ld(X1,op_c))) = mult(X1,rd(ld(X1,op_c),X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.710.0.1']),
% 209.14/209.62 [weight('<119,707,19,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.710.2.0',plain,
% 209.14/209.62 ( mult(X1,rd(ld(X1,op_c),X2)) = rd(X1,rd(X2,ld(X1,op_c))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.710.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_710]).
% 209.14/209.62 cnf('0.725.0.0',plain,
% 209.14/209.62 ( rd(mult(X1,op_c),X1) = rd(mult(X1,ld(rd(X1,op_c),X2)),X2) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.573.2.0','0.87.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.725.0.1',plain,
% 209.14/209.62 ( rd(X1,rd(X1,op_c)) = rd(mult(X1,ld(rd(X1,op_c),X2)),X2) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.725.0.0','0.58.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.725.1.0',plain,
% 209.14/209.62 ( rd(X1,rd(X1,op_c)) = rd(mult(X1,ld(rd(X1,op_c),X2)),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.725.0.1']),
% 209.14/209.62 [weight('<149,573,87,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.725.1.1',plain,
% 209.14/209.62 ( rd(X1,rd(X1,op_c)) = rd(rd(X1,rd(ld(X2,X1),op_c)),X2) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.725.1.0','0.681.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1','L')]).
% 209.14/209.62 cnf('0.725.2.0',plain,
% 209.14/209.62 ( rd(rd(X1,rd(ld(X2,X1),op_c)),X2) = rd(X1,rd(X1,op_c)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.725.1.1',theory(equality)]),
% 209.14/209.62 [x,rule_725]).
% 209.14/209.62 cnf('0.742.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(X2,X1)) = rd(ld(X1,X3),ld(X1,ld(X2,X3))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.628.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.742.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(X2,X1)) = rd(ld(X1,X3),ld(X1,ld(X2,X3))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.742.0.0']),
% 209.14/209.62 [weight('<149,628,1,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.742.2.0',plain,
% 209.14/209.62 ( rd(ld(X1,X2),ld(X1,ld(X3,X2))) = ld(X1,mult(X3,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.742.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_742]).
% 209.14/209.62 cnf('0.743.0.0',plain,
% 209.14/209.62 ( mult(rd(X1,X2),X3) = mult(X3,rd(ld(X3,X1),ld(X3,X2))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.1.2.0','0.629.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.743.1.0',plain,
% 209.14/209.62 ( mult(rd(X1,X2),X3) = mult(X3,rd(ld(X3,X1),ld(X3,X2))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.743.0.0']),
% 209.14/209.62 [weight('<149,629,1,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.743.2.0',plain,
% 209.14/209.62 ( mult(X1,rd(ld(X1,X2),ld(X1,X3))) = mult(rd(X2,X3),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.743.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_743]).
% 209.14/209.62 cnf('0.744.0.0',plain,
% 209.14/209.62 ( mult(rd(X1,mult(X2,X3)),X2) = mult(X2,rd(ld(X2,X1),X3)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.743.2.0','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2','L')]).
% 209.14/209.62 cnf('0.744.1.0',plain,
% 209.14/209.62 ( mult(rd(X1,mult(X2,X3)),X2) = mult(X2,rd(ld(X2,X1),X3)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.744.0.0']),
% 209.14/209.62 [weight('<119,743,5,[1,0,0,6]>')]).
% 209.14/209.62 cnf('0.744.2.0',plain,
% 209.14/209.62 ( mult(rd(X1,mult(X2,X3)),X2) = mult(X2,rd(ld(X2,X1),X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.744.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_744]).
% 209.14/209.62 cnf('0.754.0.0',plain,
% 209.14/209.62 ( rd(rd(X1,rd(unit,ld(X1,X2))),X1) = rd(unit,rd(mult(rd(X1,X2),X1),X1)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.249.2.0','0.661.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.754.0.1',plain,
% 209.14/209.62 ( rd(rd(X1,rd(unit,ld(X1,X2))),X1) = rd(unit,rd(X1,X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.754.0.0','0.6.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.754.1.0',plain,
% 209.14/209.62 ( rd(rd(X1,rd(unit,ld(X1,X2))),X1) = rd(unit,rd(X1,X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.754.0.1']),
% 209.14/209.62 [weight('<149,661,249,[0,0,0,3]>')]).
% 209.14/209.62 cnf('0.754.2.0',plain,
% 209.14/209.62 ( rd(rd(X1,rd(unit,ld(X1,X2))),X1) = rd(unit,rd(X1,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.754.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_754]).
% 209.14/209.62 cnf('0.755.0.0',plain,
% 209.14/209.62 ( rd(X1,rd(unit,ld(X1,X2))) = mult(rd(unit,rd(X1,X2)),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.3.2.0','0.754.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.755.1.0',plain,
% 209.14/209.62 ( rd(X1,rd(unit,ld(X1,X2))) = mult(rd(unit,rd(X1,X2)),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.755.0.0']),
% 209.14/209.62 [weight('<119,754,3,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.755.2.0',plain,
% 209.14/209.62 ( mult(rd(unit,rd(X1,X2)),X1) = rd(X1,rd(unit,ld(X1,X2))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.755.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_755]).
% 209.14/209.62 cnf('0.756.0.0',plain,
% 209.14/209.62 ( rd(unit,rd(X1,mult(X1,X2))) = rd(rd(X1,rd(unit,X2)),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.754.2.0','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2.2','L')]).
% 209.14/209.62 cnf('0.756.1.0',plain,
% 209.14/209.62 ( rd(unit,rd(X1,mult(X1,X2))) = rd(rd(X1,rd(unit,X2)),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.756.0.0']),
% 209.14/209.62 [weight('<119,754,5,[1,0,0,5]>')]).
% 209.14/209.62 cnf('0.756.2.0',plain,
% 209.14/209.62 ( rd(rd(X1,rd(unit,X2)),X1) = rd(unit,rd(X1,mult(X1,X2))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.756.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_756]).
% 209.14/209.62 cnf('0.757.0.0',plain,
% 209.14/209.62 ( mult(rd(unit,ld(X1,X2)),ld(X1,unit)) = ld(X1,rd(mult(rd(X1,X2),X1),X1)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.443.2.0','0.661.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.757.0.1',plain,
% 209.14/209.62 ( mult(rd(unit,ld(X1,X2)),ld(X1,unit)) = ld(X1,rd(X1,X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.757.0.0','0.6.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.757.1.0',plain,
% 209.14/209.62 ( mult(rd(unit,ld(X1,X2)),ld(X1,unit)) = ld(X1,rd(X1,X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.757.0.1']),
% 209.14/209.62 [weight('<149,661,443,[0,0,0,3]>')]).
% 209.14/209.62 cnf('0.757.2.0',plain,
% 209.14/209.62 ( mult(rd(unit,ld(X1,X2)),ld(X1,unit)) = ld(X1,rd(X1,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.757.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_757]).
% 209.14/209.62 cnf('0.773.0.0',plain,
% 209.14/209.62 ( rd(mult(X1,X2),mult(X1,ld(X3,X2))) = rd(mult(X1,X3),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.670.2.0','0.19.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.773.1.0',plain,
% 209.14/209.62 ( rd(mult(X1,X2),mult(X1,ld(X3,X2))) = rd(mult(X1,X3),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.773.0.0']),
% 209.14/209.62 [weight('<149,670,19,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.773.2.0',plain,
% 209.14/209.62 ( rd(mult(X1,X2),mult(X1,ld(X3,X2))) = rd(mult(X1,X3),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.773.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_773]).
% 209.14/209.62 cnf('0.791.0.0',plain,
% 209.14/209.62 ( rd(X1,rd(X1,op_c)) = rd(rd(X1,rd(X2,op_c)),rd(X1,X2)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.725.2.0','0.18.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2.1','L')]).
% 209.14/209.62 cnf('0.791.1.0',plain,
% 209.14/209.62 ( rd(X1,rd(X1,op_c)) = rd(rd(X1,rd(X2,op_c)),rd(X1,X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.791.0.0']),
% 209.14/209.62 [weight('<149,725,18,[1,0,0,4]>')]).
% 209.14/209.62 cnf('0.791.2.0',plain,
% 209.14/209.62 ( rd(rd(X1,rd(X2,op_c)),rd(X1,X2)) = rd(X1,rd(X1,op_c)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.791.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_791]).
% 209.14/209.62 cnf('0.797.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(X2,X1)) = rd(X3,ld(X1,ld(X2,mult(X1,X3)))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.742.2.0','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.797.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(X2,X1)) = rd(X3,ld(X1,ld(X2,mult(X1,X3)))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.797.0.0']),
% 209.14/209.62 [weight('<149,742,5,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.797.2.0',plain,
% 209.14/209.62 ( rd(X1,ld(X2,ld(X3,mult(X2,X1)))) = ld(X2,mult(X3,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.797.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_797]).
% 209.14/209.62 cnf('0.798.0.0',plain,
% 209.14/209.62 ( ld(X1,ld(X2,mult(X1,X3))) = ld(ld(X1,mult(X2,X1)),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.18.2.0','0.797.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.798.1.0',plain,
% 209.14/209.62 ( ld(X1,ld(X2,mult(X1,X3))) = ld(ld(X1,mult(X2,X1)),X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.798.0.0']),
% 209.14/209.62 [weight('<119,797,18,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.798.2.0',plain,
% 209.14/209.62 ( ld(ld(X1,mult(X2,X1)),X3) = ld(X1,ld(X2,mult(X1,X3))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.798.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_798]).
% 209.14/209.62 cnf('0.801.0.0',plain,
% 209.14/209.62 ( mult(unit,ld(ld(X1,X2),mult(ld(X1,unit),ld(X1,X2)))) = mult(ld(X1,rd(X1,X2)),ld(X1,X2)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.147.2.0','0.757.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.801.0.1',plain,
% 209.14/209.62 ( ld(ld(X1,X2),mult(ld(X1,unit),ld(X1,X2))) = mult(ld(X1,rd(X1,X2)),ld(X1,X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.801.0.0','0.4.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.801.0.2',plain,
% 209.14/209.62 ( ld(mult(X1,ld(X1,X2)),ld(X1,X2)) = mult(ld(X1,rd(X1,X2)),ld(X1,X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.801.0.1','0.240.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.801.0.3',plain,
% 209.14/209.62 ( ld(X2,ld(X1,X2)) = mult(ld(X1,rd(X1,X2)),ld(X1,X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.801.0.2','0.1.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.801.0.4',plain,
% 209.14/209.62 ( ld(X2,ld(X1,X2)) = ld(X1,mult(rd(rd(X1,X2),X1),X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.801.0.3','0.327.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.801.0.5',plain,
% 209.14/209.62 ( ld(X2,ld(X1,X2)) = ld(X1,rd(X1,ld(X2,mult(X1,X2)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.801.0.4','0.543.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.801.1.0',plain,
% 209.14/209.62 ( ld(X2,ld(X1,X2)) = ld(X1,rd(X1,ld(X2,mult(X1,X2)))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.801.0.5']),
% 209.14/209.62 [weight('<149,757,147,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.801.2.0',plain,
% 209.14/209.62 ( ld(X1,rd(X1,ld(X2,mult(X1,X2)))) = ld(X2,ld(X1,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.801.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_801]).
% 209.14/209.62 cnf('0.802.0.0',plain,
% 209.14/209.62 ( rd(X1,ld(X2,mult(X1,X2))) = mult(X1,ld(X2,ld(X1,X2))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.1.2.0','0.801.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.802.1.0',plain,
% 209.14/209.62 ( rd(X1,ld(X2,mult(X1,X2))) = mult(X1,ld(X2,ld(X1,X2))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.802.0.0']),
% 209.14/209.62 [weight('<119,801,1,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.802.2.0',plain,
% 209.14/209.62 ( mult(X1,ld(X2,ld(X1,X2))) = rd(X1,ld(X2,mult(X1,X2))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.802.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_802]).
% 209.14/209.62 cnf('0.887.0.0',plain,
% 209.14/209.62 ( rd(mult(X1,X2),X1) = rd(X3,mult(X1,ld(X2,ld(X1,X3)))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.773.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.887.1.0',plain,
% 209.14/209.62 ( rd(mult(X1,X2),X1) = rd(X3,mult(X1,ld(X2,ld(X1,X3)))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.887.0.0']),
% 209.14/209.62 [weight('<149,773,1,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.887.2.0',plain,
% 209.14/209.62 ( rd(X1,mult(X2,ld(X3,ld(X2,X1)))) = rd(mult(X2,X3),X2) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.887.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_885]).
% 209.14/209.62 cnf('0.888.0.0',plain,
% 209.14/209.62 ( mult(X1,ld(X2,ld(X1,X3))) = ld(rd(mult(X1,X2),X1),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.18.2.0','0.887.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.888.1.0',plain,
% 209.14/209.62 ( mult(X1,ld(X2,ld(X1,X3))) = ld(rd(mult(X1,X2),X1),X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.888.0.0']),
% 209.14/209.62 [weight('<119,887,18,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.888.2.0',plain,
% 209.14/209.62 ( mult(X1,ld(X2,ld(X1,X3))) = ld(rd(mult(X1,X2),X1),X3) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.888.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_886]).
% 209.14/209.62 cnf('0.889.0.0',plain,
% 209.14/209.62 ( mult(X1,ld(X2,ld(X1,X2))) = rd(X1,ld(X2,mult(X1,X2))) ),
% 209.14/209.62 inference(interreduction_right,[status(thm)],['0.802.2.0'])).
% 209.14/209.62 cnf('0.889.0.1',plain,
% 209.14/209.62 ( ld(rd(mult(X1,X2),X1),X2) = rd(X1,ld(X2,mult(X1,X2))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.889.0.0','0.888.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.889.1.0',plain,
% 209.14/209.62 ( ld(rd(mult(X1,X2),X1),X2) = rd(X1,ld(X2,mult(X1,X2))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.889.0.1']),
% 209.14/209.62 [weight('<119,802,888,[0,0,0,0]>')]).
% 209.14/209.62 cnf('0.889.2.0',plain,
% 209.14/209.62 ( ld(rd(mult(X1,X2),X1),X2) = rd(X1,ld(X2,mult(X1,X2))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.889.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_887]).
% 209.14/209.62 cnf('0.892.0.0',plain,
% 209.14/209.62 ( mult(X1,ld(X2,X3)) = ld(rd(mult(X1,X2),X1),mult(X1,X3)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.18.2.0','0.773.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.892.1.0',plain,
% 209.14/209.62 ( mult(X1,ld(X2,X3)) = ld(rd(mult(X1,X2),X1),mult(X1,X3)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.892.0.0']),
% 209.14/209.62 [weight('<149,773,18,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.892.2.0',plain,
% 209.14/209.62 ( ld(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,ld(X2,X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.892.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_890]).
% 209.14/209.62 cnf('0.905.0.0',plain,
% 209.14/209.62 ( rd(X1,rd(X1,op_c)) = rd(rd(X1,X2),rd(X1,mult(X2,op_c))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.791.2.0','0.6.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.905.1.0',plain,
% 209.14/209.62 ( rd(X1,rd(X1,op_c)) = rd(rd(X1,X2),rd(X1,mult(X2,op_c))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.905.0.0']),
% 209.14/209.62 [weight('<149,791,6,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.905.2.0',plain,
% 209.14/209.62 ( rd(rd(X1,X2),rd(X1,mult(X2,op_c))) = rd(X1,rd(X1,op_c)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.905.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_903]).
% 209.14/209.62 cnf('0.907.0.0',plain,
% 209.14/209.62 ( ld(X1,ld(rd(X2,X1),mult(X1,X3))) = ld(ld(X1,X2),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.798.2.0','0.3.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.907.1.0',plain,
% 209.14/209.62 ( ld(X1,ld(rd(X2,X1),mult(X1,X3))) = ld(ld(X1,X2),X3) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.907.0.0']),
% 209.14/209.62 [weight('<149,798,3,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.907.2.0',plain,
% 209.14/209.62 ( ld(X1,ld(rd(X2,X1),mult(X1,X3))) = ld(ld(X1,X2),X3) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.907.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_905]).
% 209.14/209.62 cnf('0.908.0.0',plain,
% 209.14/209.62 ( ld(ld(X1,X2),ld(X1,X3)) = ld(X1,ld(rd(X2,X1),X3)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.907.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2','L')]).
% 209.14/209.62 cnf('0.908.1.0',plain,
% 209.14/209.62 ( ld(ld(X1,X2),ld(X1,X3)) = ld(X1,ld(rd(X2,X1),X3)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.908.0.0']),
% 209.14/209.62 [weight('<119,907,1,[1,0,0,6]>')]).
% 209.14/209.62 cnf('0.908.2.0',plain,
% 209.14/209.62 ( ld(ld(X1,X2),ld(X1,X3)) = ld(X1,ld(rd(X2,X1),X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.908.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_906]).
% 209.14/209.62 cnf('0.974.0.0',plain,
% 209.14/209.62 ( ld(X1,ld(X2,X3)) = ld(X2,ld(rd(mult(X2,X1),X2),X3)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.5.2.0','0.888.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.974.1.0',plain,
% 209.14/209.62 ( ld(X1,ld(X2,X3)) = ld(X2,ld(rd(mult(X2,X1),X2),X3)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.974.0.0']),
% 209.14/209.62 [weight('<149,888,5,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.974.2.0',plain,
% 209.14/209.62 ( ld(X1,ld(rd(mult(X1,X2),X1),X3)) = ld(X2,ld(X1,X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.974.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_972]).
% 209.14/209.62 cnf('0.1015.0.0',plain,
% 209.14/209.62 ( asoc(X1,rd(X2,rd(X3,op_c)),X3) = asoc(X1,X3,ld(X3,mult(X2,op_c))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.138.2.0','0.57.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.3.2','L')]).
% 209.14/209.62 cnf('0.1015.1.0',plain,
% 209.14/209.62 ( asoc(X1,rd(X2,rd(X3,op_c)),X3) = asoc(X1,X3,ld(X3,mult(X2,op_c))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1015.0.0']),
% 209.14/209.62 [weight('<152,138,57,[1,0,0,5]>')]).
% 209.14/209.62 cnf('0.1015.2.0',plain,
% 209.14/209.62 ( asoc(X1,rd(X2,rd(X3,op_c)),X3) = asoc(X1,X3,ld(X3,mult(X2,op_c))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1015.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_1013]).
% 209.14/209.62 cnf('0.1025.0.0',plain,
% 209.14/209.62 ( asoc(X1,ld(op_c,rd(X2,X3)),X3) = asoc(rd(X1,op_c),X3,ld(X3,X2)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.220.2.0','0.139.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.1025.0.1',plain,
% 209.14/209.62 ( asoc(X1,rd(ld(op_c,X2),X3),X3) = asoc(rd(X1,op_c),X3,ld(X3,X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1025.0.0','0.69.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.1025.0.2',plain,
% 209.14/209.62 ( asoc(X1,X3,ld(X3,ld(op_c,X2))) = asoc(rd(X1,op_c),X3,ld(X3,X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1025.0.1','0.139.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.1025.0.3',plain,
% 209.14/209.62 ( asoc(X1,X3,ld(X3,ld(op_c,X2))) = asoc(X1,ld(op_c,X3),ld(X3,X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1025.0.2','0.220.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.1025.1.0',plain,
% 209.14/209.62 ( asoc(X1,X3,ld(X3,ld(op_c,X2))) = asoc(X1,ld(op_c,X3),ld(X3,X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1025.0.3']),
% 209.14/209.62 [weight('<152,220,139,[1,0,0,0]>')]).
% 209.14/209.62 cnf('0.1025.2.0',plain,
% 209.14/209.62 ( asoc(X1,ld(op_c,X2),ld(X2,X3)) = asoc(X1,X2,ld(X2,ld(op_c,X3))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1025.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_1023]).
% 209.14/209.62 cnf('0.1084.0.0',plain,
% 209.14/209.62 ( X1 = ld(ld(rd(X2,X1),unit),mult(X1,ld(X2,X1))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.18.2.0','0.245.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.1084.1.0',plain,
% 209.14/209.62 ( X1 = ld(ld(rd(X2,X1),unit),mult(X1,ld(X2,X1))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1084.0.0']),
% 209.14/209.62 [weight('<155,245,18,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.1084.2.0',plain,
% 209.14/209.62 ( ld(ld(rd(X1,X2),unit),mult(X2,ld(X1,X2))) = X2 ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1084.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_1082]).
% 209.14/209.62 cnf('0.1107.0.0',plain,
% 209.14/209.62 ( X1 = ld(ld(rd(unit,rd(X1,mult(X1,X2))),unit),mult(X1,ld(rd(X1,rd(unit,X2)),X1))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.1084.2.0','0.756.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.1','L')]).
% 209.14/209.62 cnf('0.1107.0.1',plain,
% 209.14/209.62 ( X1 = ld(rd(X1,mult(X1,X2)),mult(X1,ld(rd(X1,rd(unit,X2)),X1))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1107.0.0','0.18.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1','L')]).
% 209.14/209.62 cnf('0.1107.0.2',plain,
% 209.14/209.62 ( X1 = ld(rd(X1,mult(X1,X2)),mult(X1,rd(unit,X2))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1107.0.1','0.18.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2.2','L')]).
% 209.14/209.62 cnf('0.1107.1.0',plain,
% 209.14/209.62 ( X1 = ld(rd(X1,mult(X1,X2)),mult(X1,rd(unit,X2))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1107.0.2']),
% 209.14/209.62 [weight('<155,1084,756,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.1107.2.0',plain,
% 209.14/209.62 ( ld(rd(X1,mult(X1,X2)),mult(X1,rd(unit,X2))) = X1 ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1107.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_1105]).
% 209.14/209.62 cnf('0.1194.0.0',plain,
% 209.14/209.62 ( mult(ld(X1,unit),ld(X1,X2)) = mult(ld(X1,X2),ld(X2,ld(X1,X2))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.241.2.0','0.1.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.1194.1.0',plain,
% 209.14/209.62 ( mult(ld(X1,unit),ld(X1,X2)) = mult(ld(X1,X2),ld(X2,ld(X1,X2))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1194.0.0']),
% 209.14/209.62 [weight('<169,241,1,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.1194.1.1',plain,
% 209.14/209.62 ( ld(X1,mult(rd(unit,X1),X2)) = mult(ld(X1,X2),ld(X2,ld(X1,X2))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1194.1.0','0.327.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.1194.2.0',plain,
% 209.14/209.62 ( mult(ld(X1,X2),ld(X2,ld(X1,X2))) = ld(X1,mult(rd(unit,X1),X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1194.1.1',theory(equality)]),
% 209.14/209.62 [x,rule_1192]).
% 209.14/209.62 cnf('0.1245.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(rd(mult(ld(X2,unit),X1),X1),X3)) = mult(ld(mult(X2,X1),X1),ld(X1,X3)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.327.2.0','0.240.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.1245.0.1',plain,
% 209.14/209.62 ( ld(X1,mult(ld(X2,unit),X3)) = mult(ld(mult(X2,X1),X1),ld(X1,X3)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1245.0.0','0.6.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.1245.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(ld(X2,unit),X3)) = mult(ld(mult(X2,X1),X1),ld(X1,X3)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1245.0.1']),
% 209.14/209.62 [weight('<169,327,240,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.1245.2.0',plain,
% 209.14/209.62 ( mult(ld(mult(X1,X2),X2),ld(X2,X3)) = ld(X2,mult(ld(X1,unit),X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1245.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_1243]).
% 209.14/209.62 cnf('0.1258.0.0',plain,
% 209.14/209.62 ( mult(ld(X1,mult(X2,X1)),ld(X1,mult(X3,X1))) = mult(mult(mult(rd(unit,X1),X2),X3),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.147.2.0','0.379.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.1','L')]).
% 209.14/209.62 cnf('0.1258.0.1',plain,
% 209.14/209.62 ( ld(X1,mult(X2,mult(X1,ld(X1,mult(X3,X1))))) = mult(mult(mult(rd(unit,X1),X2),X3),X1) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1258.0.0','0.334.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.1258.0.2',plain,
% 209.14/209.62 ( ld(X1,mult(X2,mult(X3,X1))) = mult(mult(mult(rd(unit,X1),X2),X3),X1) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1258.0.1','0.1.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2','L')]).
% 209.14/209.62 cnf('0.1258.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(X2,mult(X3,X1))) = mult(mult(mult(rd(unit,X1),X2),X3),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1258.0.2']),
% 209.14/209.62 [weight('<169,379,147,[0,0,0,2]>')]).
% 209.14/209.62 cnf('0.1258.2.0',plain,
% 209.14/209.62 ( mult(mult(mult(rd(unit,X1),X2),X3),X1) = ld(X1,mult(X2,mult(X3,X1))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1258.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_1256]).
% 209.14/209.62 cnf('0.1262.0.0',plain,
% 209.14/209.62 ( rd(mult(ld(X1,mult(X2,X1)),ld(X1,X3)),X1) = mult(mult(rd(unit,X1),X2),rd(X3,X1)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.383.2.0','0.379.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.1262.0.1',plain,
% 209.14/209.62 ( rd(ld(X1,mult(X2,mult(X1,ld(X1,X3)))),X1) = mult(mult(rd(unit,X1),X2),rd(X3,X1)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1262.0.0','0.334.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.1262.0.2',plain,
% 209.14/209.62 ( rd(ld(X1,mult(X2,X3)),X1) = mult(mult(rd(unit,X1),X2),rd(X3,X1)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1262.0.1','0.1.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2.2','L')]).
% 209.14/209.62 cnf('0.1262.1.0',plain,
% 209.14/209.62 ( rd(ld(X1,mult(X2,X3)),X1) = mult(mult(rd(unit,X1),X2),rd(X3,X1)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1262.0.2']),
% 209.14/209.62 [weight('<169,383,379,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.1262.2.0',plain,
% 209.14/209.62 ( mult(mult(rd(unit,X1),X2),rd(X3,X1)) = rd(ld(X1,mult(X2,X3)),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1262.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_1260]).
% 209.14/209.62 cnf('0.1281.0.0',plain,
% 209.14/209.62 ( rd(unit,ld(rd(unit,X1),rd(X2,op_c))) = rd(rd(X1,mult(X2,ld(op_c,X1))),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.406.2.0','0.30.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.1281.0.1',plain,
% 209.14/209.62 ( rd(unit,rd(ld(rd(unit,X1),X2),op_c)) = rd(rd(X1,mult(X2,ld(op_c,X1))),X1) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1281.0.0','0.52.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.1281.0.2',plain,
% 209.14/209.62 ( rd(op_c,ld(rd(unit,X1),X2)) = rd(rd(X1,mult(X2,ld(op_c,X1))),X1) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1281.0.1','0.49.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.1281.1.0',plain,
% 209.14/209.62 ( rd(op_c,ld(rd(unit,X1),X2)) = rd(rd(X1,mult(X2,ld(op_c,X1))),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1281.0.2']),
% 209.14/209.62 [weight('<169,406,30,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.1281.2.0',plain,
% 209.14/209.62 ( rd(rd(X1,mult(X2,ld(op_c,X1))),X1) = rd(op_c,ld(rd(unit,X1),X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1281.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_1279]).
% 209.14/209.62 cnf('0.1284.0.0',plain,
% 209.14/209.62 ( mult(rd(unit,ld(rd(X1,X2),X3)),X2) = rd(X2,ld(X2,mult(X2,ld(X1,mult(X3,X2))))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.244.2.0','0.422.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2','L')]).
% 209.14/209.62 cnf('0.1284.0.1',plain,
% 209.14/209.62 ( mult(rd(unit,ld(rd(X1,X2),X3)),X2) = rd(X2,ld(X1,mult(X3,X2))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1284.0.0','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.1284.1.0',plain,
% 209.14/209.62 ( mult(rd(unit,ld(rd(X1,X2),X3)),X2) = rd(X2,ld(X1,mult(X3,X2))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1284.0.1']),
% 209.14/209.62 [weight('<169,422,244,[0,0,0,4]>')]).
% 209.14/209.62 cnf('0.1284.2.0',plain,
% 209.14/209.62 ( mult(rd(unit,ld(rd(X1,X2),X3)),X2) = rd(X2,ld(X1,mult(X3,X2))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1284.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_1282]).
% 209.14/209.62 cnf('0.1285.0.0',plain,
% 209.14/209.62 ( mult(rd(unit,X1),ld(rd(X2,X1),X3)) = rd(ld(X1,mult(X1,ld(X2,mult(X3,X1)))),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.379.2.0','0.422.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.1285.0.1',plain,
% 209.14/209.62 ( mult(rd(unit,X1),ld(rd(X2,X1),X3)) = rd(ld(X2,mult(X3,X1)),X1) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1285.0.0','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1','L')]).
% 209.14/209.62 cnf('0.1285.1.0',plain,
% 209.14/209.62 ( mult(rd(unit,X1),ld(rd(X2,X1),X3)) = rd(ld(X2,mult(X3,X1)),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1285.0.1']),
% 209.14/209.62 [weight('<169,422,379,[0,0,0,3]>')]).
% 209.14/209.62 cnf('0.1285.2.0',plain,
% 209.14/209.62 ( mult(rd(unit,X1),ld(rd(X2,X1),X3)) = rd(ld(X2,mult(X3,X1)),X1) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1285.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_1283]).
% 209.14/209.62 cnf('0.1325.0.0',plain,
% 209.14/209.62 ( mult(mult(X1,mult(X2,X3)),X2) = mult(mult(X1,X2),rd(X3,ld(X2,unit))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.10.2.0','0.451.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.1325.1.0',plain,
% 209.14/209.62 ( mult(mult(X1,mult(X2,X3)),X2) = mult(mult(X1,X2),rd(X3,ld(X2,unit))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1325.0.0']),
% 209.14/209.62 [weight('<169,451,10,[0,0,0,4]>')]).
% 209.14/209.62 cnf('0.1325.2.0',plain,
% 209.14/209.62 ( mult(mult(X1,X2),rd(X3,ld(X2,unit))) = mult(mult(X1,mult(X2,X3)),X2) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1325.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_1323]).
% 209.14/209.62 cnf('0.1330.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(rd(mult(mult(X1,X2),X1),X1),X3)) = mult(rd(X2,ld(X1,unit)),ld(X1,X3)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.327.2.0','0.451.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.1330.0.1',plain,
% 209.14/209.62 ( ld(X1,mult(mult(X1,X2),X3)) = mult(rd(X2,ld(X1,unit)),ld(X1,X3)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1330.0.0','0.6.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.1330.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(mult(X1,X2),X3)) = mult(rd(X2,ld(X1,unit)),ld(X1,X3)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1330.0.1']),
% 209.14/209.62 [weight('<169,451,327,[0,0,0,1]>')]).
% 209.14/209.62 cnf('0.1330.2.0',plain,
% 209.14/209.62 ( mult(rd(X1,ld(X2,unit)),ld(X2,X3)) = ld(X2,mult(mult(X2,X1),X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1330.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_1328]).
% 209.14/209.62 cnf('0.1403.0.0',plain,
% 209.14/209.62 ( ld(rd(unit,X1),mult(op_c,mult(rd(unit,X1),X2))) = ld(ld(rd(op_c,X1),rd(unit,X1)),X2) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.586.2.0','0.172.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.1403.0.1',plain,
% 209.14/209.62 ( ld(rd(unit,X1),mult(rd(op_c,X1),X2)) = ld(ld(rd(op_c,X1),rd(unit,X1)),X2) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1403.0.0','0.152.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.1403.0.2',plain,
% 209.14/209.62 ( ld(rd(unit,X1),mult(rd(op_c,X1),X2)) = ld(rd(mult(X1,ld(op_c,unit)),X1),X2) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1403.0.1','0.550.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1','L')]).
% 209.14/209.62 cnf('0.1403.0.3',plain,
% 209.14/209.62 ( ld(rd(unit,X1),mult(rd(op_c,X1),X2)) = ld(rd(mult(X1,rd(unit,op_c)),X1),X2) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1403.0.2','0.32.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1.1.2','L')]).
% 209.14/209.62 cnf('0.1403.0.4',plain,
% 209.14/209.62 ( ld(rd(unit,X1),mult(rd(op_c,X1),X2)) = ld(rd(rd(mult(X1,unit),op_c),X1),X2) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1403.0.3','0.26.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1.1','L')]).
% 209.14/209.62 cnf('0.1403.0.5',plain,
% 209.14/209.62 ( ld(rd(unit,X1),mult(rd(op_c,X1),X2)) = ld(rd(mult(X1,unit),mult(X1,op_c)),X2) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1403.0.4','0.60.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1','L')]).
% 209.14/209.62 cnf('0.1403.0.6',plain,
% 209.14/209.62 ( ld(rd(unit,X1),mult(rd(op_c,X1),X2)) = ld(rd(X1,mult(X1,op_c)),X2) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1403.0.5','0.2.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1.1','L')]).
% 209.14/209.62 cnf('0.1403.1.0',plain,
% 209.14/209.62 ( ld(rd(unit,X1),mult(rd(op_c,X1),X2)) = ld(rd(X1,mult(X1,op_c)),X2) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1403.0.6']),
% 209.14/209.62 [weight('<169,586,172,[1,0,0,1]>')]).
% 209.14/209.62 cnf('0.1403.1.1',plain,
% 209.14/209.62 ( ld(rd(unit,X1),mult(rd(op_c,X1),X2)) = rd(X1,rd(ld(X2,X1),op_c)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1403.1.0','0.680.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.1403.2.0',plain,
% 209.14/209.62 ( ld(rd(unit,X1),mult(rd(op_c,X1),X2)) = rd(X1,rd(ld(X2,X1),op_c)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1403.1.1',theory(equality)]),
% 209.14/209.62 [u,rule_1401]).
% 209.14/209.62 cnf('0.1469.0.0',plain,
% 209.14/209.62 ( ld(ld(X1,mult(X1,ld(X2,mult(X3,X1)))),unit) = ld(X1,ld(ld(rd(X2,X1),X3),X1)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.667.2.0','0.549.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.1469.0.1',plain,
% 209.14/209.62 ( ld(ld(X2,mult(X3,X1)),unit) = ld(X1,ld(ld(rd(X2,X1),X3),X1)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1469.0.0','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1','L')]).
% 209.14/209.62 cnf('0.1469.1.0',plain,
% 209.14/209.62 ( ld(ld(X2,mult(X3,X1)),unit) = ld(X1,ld(ld(rd(X2,X1),X3),X1)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1469.0.1']),
% 209.14/209.62 [weight('<169,667,549,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.1469.2.0',plain,
% 209.14/209.62 ( ld(X1,ld(ld(rd(X2,X1),X3),X1)) = ld(ld(X2,mult(X3,X1)),unit) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1469.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_1466]).
% 209.14/209.62 cnf('0.1521.0.0',plain,
% 209.14/209.62 ( rd(X1,ld(rd(ld(op_c,op_c),X2),ld(op_c,rd(ld(op_c,op_c),X2)))) = ld(rd(rd(ld(op_c,op_c),X2),X1),rd(op_c,rd(X2,ld(op_c,op_c)))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.623.2.0','0.710.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.1521.0.1',plain,
% 209.14/209.62 ( rd(X1,ld(rd(op_c,X2),mult(op_c,ld(op_c,rd(ld(op_c,op_c),X2))))) = ld(rd(rd(ld(op_c,op_c),X2),X1),rd(op_c,rd(X2,ld(op_c,op_c)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1521.0.0','0.181.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.1521.0.2',plain,
% 209.14/209.62 ( rd(X1,ld(rd(unit,X2),ld(op_c,rd(ld(op_c,op_c),X2)))) = ld(rd(rd(ld(op_c,op_c),X2),X1),rd(op_c,rd(X2,ld(op_c,op_c)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1521.0.1','0.173.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.1521.0.3',plain,
% 209.14/209.62 ( rd(X1,ld(rd(op_c,X2),rd(ld(op_c,op_c),X2))) = ld(rd(rd(ld(op_c,op_c),X2),X1),rd(op_c,rd(X2,ld(op_c,op_c)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1521.0.2','0.172.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.1521.0.4',plain,
% 209.14/209.62 ( rd(X1,rd(mult(X2,ld(op_c,ld(op_c,op_c))),X2)) = ld(rd(rd(ld(op_c,op_c),X2),X1),rd(op_c,rd(X2,ld(op_c,op_c)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1521.0.3','0.550.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.1521.0.5',plain,
% 209.14/209.62 ( rd(X1,rd(X2,mult(X2,ld(ld(op_c,op_c),op_c)))) = ld(rd(rd(ld(op_c,op_c),X2),X1),rd(op_c,rd(X2,ld(op_c,op_c)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1521.0.4','0.672.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.1521.0.6',plain,
% 209.14/209.62 ( rd(X1,rd(X2,mult(X2,ld(op_c,mult(op_c,op_c))))) = ld(rd(rd(ld(op_c,op_c),X2),X1),rd(op_c,rd(X2,ld(op_c,op_c)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1521.0.5','0.91.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2.2','L')]).
% 209.14/209.62 cnf('0.1521.0.7',plain,
% 209.14/209.62 ( rd(X1,rd(X2,mult(X2,op_c))) = ld(rd(rd(ld(op_c,op_c),X2),X1),rd(op_c,rd(X2,ld(op_c,op_c)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1521.0.6','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.2.2','L')]).
% 209.14/209.62 cnf('0.1521.0.8',plain,
% 209.14/209.62 ( rd(X1,rd(X2,mult(X2,op_c))) = ld(rd(rd(unit,X2),X1),rd(op_c,rd(X2,ld(op_c,op_c)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1521.0.7','0.15.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1.1.1','L')]).
% 209.14/209.62 cnf('0.1521.0.9',plain,
% 209.14/209.62 ( rd(X1,rd(X2,mult(X2,op_c))) = ld(rd(rd(unit,X2),X1),rd(unit,rd(X2,op_c))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1521.0.8','0.109.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.1521.0.10',plain,
% 209.14/209.62 ( rd(X1,rd(X2,mult(X2,op_c))) = ld(rd(rd(unit,X2),X1),rd(op_c,X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1521.0.9','0.49.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.1521.1.0',plain,
% 209.14/209.62 ( rd(X1,rd(X2,mult(X2,op_c))) = ld(rd(rd(unit,X2),X1),rd(op_c,X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1521.0.10']),
% 209.14/209.62 [weight('<169,710,623,[0,0,0,4]>')]).
% 209.14/209.62 cnf('0.1521.2.0',plain,
% 209.14/209.62 ( ld(rd(rd(unit,X1),X2),rd(op_c,X1)) = rd(X2,rd(X1,mult(X1,op_c))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1521.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_1518]).
% 209.14/209.62 cnf('0.1532.0.0',plain,
% 209.14/209.62 ( mult(X1,rd(ld(X1,rd(X2,X1)),X3)) = rd(X2,ld(X1,mult(mult(X1,X3),X1))) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.744.2.0','0.543.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.1532.0.1',plain,
% 209.14/209.62 ( mult(X1,rd(ld(X1,rd(X2,X1)),X3)) = rd(X2,rd(X3,ld(X1,unit))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1532.0.0','0.451.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.1532.1.0',plain,
% 209.14/209.62 ( mult(X1,rd(ld(X1,rd(X2,X1)),X3)) = rd(X2,rd(X3,ld(X1,unit))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1532.0.1']),
% 209.14/209.62 [weight('<169,744,543,[1,0,0,0]>')]).
% 209.14/209.62 cnf('0.1532.2.0',plain,
% 209.14/209.62 ( mult(X1,rd(ld(X1,rd(X2,X1)),X3)) = rd(X2,rd(X3,ld(X1,unit))) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1532.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_1529]).
% 209.14/209.62 cnf('0.1679.0.0',plain,
% 209.14/209.62 ( rd(ld(X1,ld(X2,X3)),ld(X2,unit)) = ld(X2,mult(ld(rd(mult(X2,X1),X2),X3),X2)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.451.2.0','0.888.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.1679.0.1',plain,
% 209.14/209.62 ( rd(ld(X1,ld(X2,X3)),ld(X2,unit)) = ld(X2,mult(X2,ld(mult(X2,X1),mult(X3,X2)))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1679.0.0','0.422.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.2','L')]).
% 209.14/209.62 cnf('0.1679.0.2',plain,
% 209.14/209.62 ( rd(ld(X1,ld(X2,X3)),ld(X2,unit)) = ld(mult(X2,X1),mult(X3,X2)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1679.0.1','0.5.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.1679.1.0',plain,
% 209.14/209.62 ( rd(ld(X1,ld(X2,X3)),ld(X2,unit)) = ld(mult(X2,X1),mult(X3,X2)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1679.0.2']),
% 209.14/209.62 [weight('<169,888,451,[0,0,0,3]>')]).
% 209.14/209.62 cnf('0.1679.2.0',plain,
% 209.14/209.62 ( rd(ld(X1,ld(X2,X3)),ld(X2,unit)) = ld(mult(X2,X1),mult(X3,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1679.1.0',theory(equality)]),
% 209.14/209.62 [u,rule_1675]).
% 209.14/209.62 cnf('0.1796.0.0',plain,
% 209.14/209.62 ( mult(op_c,rd(X1,mult(X1,X2))) = rd(mult(op_c,mult(X1,rd(unit,X2))),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.70.2.0','0.1107.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2','L')]).
% 209.14/209.62 cnf('0.1796.0.1',plain,
% 209.14/209.62 ( rd(mult(op_c,X1),mult(X1,X2)) = rd(mult(op_c,mult(X1,rd(unit,X2))),X1) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1796.0.0','0.40.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.14/209.62 cnf('0.1796.1.0',plain,
% 209.14/209.62 ( rd(mult(op_c,X1),mult(X1,X2)) = rd(mult(op_c,mult(X1,rd(unit,X2))),X1) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1796.0.1']),
% 209.14/209.62 [weight('<169,1107,70,[0,0,0,4]>')]).
% 209.14/209.62 cnf('0.1796.2.0',plain,
% 209.14/209.62 ( rd(mult(op_c,mult(X1,rd(unit,X2))),X1) = rd(mult(op_c,X1),mult(X1,X2)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1796.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_1792]).
% 209.14/209.62 cnf('0.1856.0.0',plain,
% 209.14/209.62 ( ld(X1,mult(ld(rd(unit,rd(X1,X2)),unit),X3)) = mult(ld(rd(X1,rd(unit,ld(X1,X2))),X1),ld(X1,X3)) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.1245.2.0','0.755.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.1','L')]).
% 209.14/209.62 cnf('0.1856.0.1',plain,
% 209.14/209.62 ( ld(X1,mult(rd(X1,X2),X3)) = mult(ld(rd(X1,rd(unit,ld(X1,X2))),X1),ld(X1,X3)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1856.0.0','0.18.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.2.1','L')]).
% 209.14/209.62 cnf('0.1856.0.2',plain,
% 209.14/209.62 ( ld(X1,mult(rd(X1,X2),X3)) = mult(rd(unit,ld(X1,X2)),ld(X1,X3)) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1856.0.1','0.18.2.0',theory(equality)]),
% 209.14/209.62 [pos('R.1','L')]).
% 209.14/209.62 cnf('0.1856.1.0',plain,
% 209.14/209.62 ( ld(X1,mult(rd(X1,X2),X3)) = mult(rd(unit,ld(X1,X2)),ld(X1,X3)) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1856.0.2']),
% 209.14/209.62 [weight('<169,1245,755,[1,0,0,2]>')]).
% 209.14/209.62 cnf('0.1856.2.0',plain,
% 209.14/209.62 ( mult(rd(unit,ld(X1,X2)),ld(X1,X3)) = ld(X1,mult(rd(X1,X2),X3)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1856.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_1852]).
% 209.14/209.62 cnf('0.1877.0.0',plain,
% 209.14/209.62 ( rd(X1,ld(mult(X1,X2),mult(X2,X1))) = mult(rd(unit,rd(X1,ld(X2,mult(X1,X2)))),X1) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.1284.2.0','0.889.2.0',theory(equality)]),
% 209.14/209.62 [pos('L.1.2','L')]).
% 209.14/209.62 cnf('0.1877.0.1',plain,
% 209.14/209.62 ( rd(X1,ld(mult(X1,X2),mult(X2,X1))) = rd(X1,rd(unit,ld(X1,ld(X2,mult(X1,X2))))) ),
% 209.14/209.62 inference(reduction,[status(thm)],['0.1877.0.0','0.755.2.0',theory(equality)]),
% 209.14/209.62 [pos('R','L')]).
% 209.14/209.62 cnf('0.1877.1.0',plain,
% 209.14/209.62 ( ld(mult(X1,X2),mult(X2,X1)) = rd(unit,ld(X1,ld(X2,mult(X1,X2)))) ),
% 209.14/209.62 inference(weigh,[status(thm)],['0.1877.0.1']),
% 209.14/209.62 [weight('<169,1284,889,[1,0,0,3]>')]).
% 209.14/209.62 cnf('0.1877.2.0',plain,
% 209.14/209.62 ( rd(unit,ld(X1,ld(X2,mult(X1,X2)))) = ld(mult(X1,X2),mult(X2,X1)) ),
% 209.14/209.62 inference(orient,[status(thm)],['0.1877.1.0',theory(equality)]),
% 209.14/209.62 [x,rule_1873]).
% 209.14/209.62 cnf('0.2037.0.0',plain,
% 209.14/209.62 ( rd(ld(X1,mult(ld(rd(unit,X2),X3),X2)),X2) = ld(rd(mult(rd(unit,X2),rd(X1,X2)),rd(unit,X2)),X3) ),
% 209.14/209.62 inference(cp,[status(thm)],['0.1285.2.0','0.888.2.0',theory(equality)]),
% 209.14/209.62 [pos('L','L')]).
% 209.24/209.62 cnf('0.2037.0.1',plain,
% 209.24/209.62 ( rd(ld(X1,mult(X2,ld(unit,mult(X3,X2)))),X2) = ld(rd(mult(rd(unit,X2),rd(X1,X2)),rd(unit,X2)),X3) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2037.0.0','0.422.2.0',theory(equality)]),
% 209.24/209.62 [pos('L.1.2','L')]).
% 209.24/209.62 cnf('0.2037.0.2',plain,
% 209.24/209.62 ( rd(ld(X1,mult(X2,mult(X3,X2))),X2) = ld(rd(mult(rd(unit,X2),rd(X1,X2)),rd(unit,X2)),X3) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2037.0.1','0.14.2.0',theory(equality)]),
% 209.24/209.62 [pos('L.1.2.2','L')]).
% 209.24/209.62 cnf('0.2037.0.3',plain,
% 209.24/209.62 ( rd(ld(X1,mult(X2,mult(X3,X2))),X2) = ld(rd(mult(rd(unit,X2),X1),mult(rd(unit,X2),X2)),X3) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2037.0.2','0.670.2.0',theory(equality)]),
% 209.24/209.62 [pos('R.1','L')]).
% 209.24/209.62 cnf('0.2037.0.4',plain,
% 209.24/209.62 ( rd(ld(X1,mult(X2,mult(X3,X2))),X2) = ld(rd(mult(rd(unit,X2),X1),unit),X3) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2037.0.3','0.3.2.0',theory(equality)]),
% 209.24/209.62 [pos('R.1.2','L')]).
% 209.24/209.62 cnf('0.2037.0.5',plain,
% 209.24/209.62 ( rd(ld(X1,mult(X2,mult(X3,X2))),X2) = ld(mult(rd(unit,X2),X1),X3) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2037.0.4','0.13.2.0',theory(equality)]),
% 209.24/209.62 [pos('R.1','L')]).
% 209.24/209.62 cnf('0.2037.1.0',plain,
% 209.24/209.62 ( rd(ld(X1,mult(X2,mult(X3,X2))),X2) = ld(mult(rd(unit,X2),X1),X3) ),
% 209.24/209.62 inference(weigh,[status(thm)],['0.2037.0.5']),
% 209.24/209.62 [weight('<169,1285,888,[1,0,0,0]>')]).
% 209.24/209.62 cnf('0.2037.2.0',plain,
% 209.24/209.62 ( rd(ld(X1,mult(X2,mult(X3,X2))),X2) = ld(mult(rd(unit,X2),X1),X3) ),
% 209.24/209.62 inference(orient,[status(thm)],['0.2037.1.0',theory(equality)]),
% 209.24/209.62 [u,rule_2032]).
% 209.24/209.62 cnf('0.2053.0.0',plain,
% 209.24/209.62 ( ld(X1,mult(X2,mult(rd(X3,ld(X2,unit)),X1))) = mult(mult(mult(rd(unit,X1),mult(X2,X3)),X2),X1) ),
% 209.24/209.62 inference(cp,[status(thm)],['0.1258.2.0','0.1325.2.0',theory(equality)]),
% 209.24/209.62 [pos('L.1','L')]).
% 209.24/209.62 cnf('0.2053.0.1',plain,
% 209.24/209.62 ( ld(X1,mult(X2,mult(rd(X3,ld(X2,unit)),X1))) = ld(X1,mult(mult(X2,X3),mult(X2,X1))) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2053.0.0','0.1258.2.0',theory(equality)]),
% 209.24/209.62 [pos('R','L')]).
% 209.24/209.62 cnf('0.2053.1.0',plain,
% 209.24/209.62 ( mult(X2,mult(rd(X3,ld(X2,unit)),X1)) = mult(mult(X2,X3),mult(X2,X1)) ),
% 209.24/209.62 inference(weigh,[status(thm)],['0.2053.0.1']),
% 209.24/209.62 [weight('<169,1325,1258,[0,0,0,1]>')]).
% 209.24/209.62 cnf('0.2053.2.0',plain,
% 209.24/209.62 ( mult(X1,mult(rd(X2,ld(X1,unit)),X3)) = mult(mult(X1,X2),mult(X1,X3)) ),
% 209.24/209.62 inference(orient,[status(thm)],['0.2053.1.0',theory(equality)]),
% 209.24/209.62 [u,rule_2048]).
% 209.24/209.62 cnf('0.2055.0.0',plain,
% 209.24/209.62 ( rd(ld(ld(X1,unit),mult(ld(X1,X2),X3)),ld(X1,unit)) = mult(ld(X1,mult(mult(X1,unit),X2)),rd(X3,ld(X1,unit))) ),
% 209.24/209.62 inference(cp,[status(thm)],['0.1262.2.0','0.1330.2.0',theory(equality)]),
% 209.24/209.62 [pos('L.1','L')]).
% 209.24/209.62 cnf('0.2055.0.1',plain,
% 209.24/209.62 ( mult(mult(X1,mult(ld(X1,X2),X3)),X1) = mult(ld(X1,mult(mult(X1,unit),X2)),rd(X3,ld(X1,unit))) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2055.0.0','0.632.2.0',theory(equality)]),
% 209.24/209.62 [pos('L','L')]).
% 209.24/209.62 cnf('0.2055.0.2',plain,
% 209.24/209.62 ( mult(mult(X1,mult(ld(X1,X2),X3)),X1) = mult(ld(X1,mult(X1,X2)),rd(X3,ld(X1,unit))) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2055.0.1','0.2.2.0',theory(equality)]),
% 209.24/209.62 [pos('R.1.2.1','L')]).
% 209.24/209.62 cnf('0.2055.0.3',plain,
% 209.24/209.62 ( mult(mult(X1,mult(ld(X1,X2),X3)),X1) = mult(X2,rd(X3,ld(X1,unit))) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2055.0.2','0.5.2.0',theory(equality)]),
% 209.24/209.62 [pos('R.1','L')]).
% 209.24/209.62 cnf('0.2055.1.0',plain,
% 209.24/209.62 ( mult(mult(X1,mult(ld(X1,X2),X3)),X1) = mult(X2,rd(X3,ld(X1,unit))) ),
% 209.24/209.62 inference(weigh,[status(thm)],['0.2055.0.3']),
% 209.24/209.62 [weight('<169,1330,1262,[0,0,0,1]>')]).
% 209.24/209.62 cnf('0.2055.2.0',plain,
% 209.24/209.62 ( mult(mult(X1,mult(ld(X1,X2),X3)),X1) = mult(X2,rd(X3,ld(X1,unit))) ),
% 209.24/209.62 inference(orient,[status(thm)],['0.2055.1.0',theory(equality)]),
% 209.24/209.62 [u,rule_2050]).
% 209.24/209.62 cnf('0.2056.0.0',plain,
% 209.24/209.62 ( mult(X1,rd(ld(X1,ld(X2,X1)),ld(X2,unit))) = mult(mult(X2,ld(X2,mult(rd(unit,X2),X1))),X2) ),
% 209.24/209.62 inference(cp,[status(thm)],['0.2055.2.0','0.1194.2.0',theory(equality)]),
% 209.24/209.62 [pos('L.1.2','L')]).
% 209.24/209.62 cnf('0.2056.0.1',plain,
% 209.24/209.62 ( mult(X1,ld(mult(X2,X1),mult(X1,X2))) = mult(mult(X2,ld(X2,mult(rd(unit,X2),X1))),X2) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2056.0.0','0.1679.2.0',theory(equality)]),
% 209.24/209.62 [pos('L.2','L')]).
% 209.24/209.62 cnf('0.2056.0.2',plain,
% 209.24/209.62 ( mult(X1,ld(mult(X2,X1),mult(X1,X2))) = mult(mult(rd(unit,X2),X1),X2) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2056.0.1','0.1.2.0',theory(equality)]),
% 209.24/209.62 [pos('R.1','L')]).
% 209.24/209.62 cnf('0.2056.0.3',plain,
% 209.24/209.62 ( mult(X1,ld(mult(X2,X1),mult(X1,X2))) = mult(unit,ld(X2,mult(X1,X2))) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2056.0.2','0.147.2.0',theory(equality)]),
% 209.24/209.62 [pos('R','L')]).
% 209.24/209.62 cnf('0.2056.0.4',plain,
% 209.24/209.62 ( mult(X1,ld(mult(X2,X1),mult(X1,X2))) = ld(X2,mult(X1,X2)) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2056.0.3','0.4.2.0',theory(equality)]),
% 209.24/209.62 [pos('R','L')]).
% 209.24/209.62 cnf('0.2056.1.0',plain,
% 209.24/209.62 ( mult(X1,ld(mult(X2,X1),mult(X1,X2))) = ld(X2,mult(X1,X2)) ),
% 209.24/209.62 inference(weigh,[status(thm)],['0.2056.0.4']),
% 209.24/209.62 [weight('<149,2055,1194,[1,0,0,3]>')]).
% 209.24/209.62 cnf('0.2056.2.0',plain,
% 209.24/209.62 ( mult(X1,ld(mult(X2,X1),mult(X1,X2))) = ld(X2,mult(X1,X2)) ),
% 209.24/209.62 inference(orient,[status(thm)],['0.2056.1.0',theory(equality)]),
% 209.24/209.62 [u,rule_2051]).
% 209.24/209.62 cnf('0.2057.0.0',plain,
% 209.24/209.62 ( ld(mult(X1,X2),mult(X2,X1)) = ld(X2,ld(X1,mult(X2,X1))) ),
% 209.24/209.62 inference(cp,[status(thm)],['0.5.2.0','0.2056.2.0',theory(equality)]),
% 209.24/209.62 [pos('L.2','L')]).
% 209.24/209.62 cnf('0.2057.1.0',plain,
% 209.24/209.62 ( ld(mult(X1,X2),mult(X2,X1)) = ld(X2,ld(X1,mult(X2,X1))) ),
% 209.24/209.62 inference(weigh,[status(thm)],['0.2057.0.0']),
% 209.24/209.62 [weight('<119,2056,5,[0,0,0,2]>')]).
% 209.24/209.62 cnf('0.2057.2.0',plain,
% 209.24/209.62 ( ld(mult(X1,X2),mult(X2,X1)) = ld(X2,ld(X1,mult(X2,X1))) ),
% 209.24/209.62 inference(orient,[status(thm)],['0.2057.1.0',theory(equality)]),
% 209.24/209.62 [u,rule_2052]).
% 209.24/209.62 cnf('0.2061.0.0',plain,
% 209.24/209.62 ( ld(X1,rd(mult(X2,X1),X2)) = rd(mult(X2,ld(X2,ld(X1,mult(X2,X1)))),X2) ),
% 209.24/209.62 inference(cp,[status(thm)],['0.551.2.0','0.2057.2.0',theory(equality)]),
% 209.24/209.62 [pos('L.1.2','L')]).
% 209.24/209.62 cnf('0.2061.0.1',plain,
% 209.24/209.62 ( ld(X1,rd(mult(X2,X1),X2)) = rd(ld(X1,mult(X2,X1)),X2) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2061.0.0','0.1.2.0',theory(equality)]),
% 209.24/209.62 [pos('R.1','L')]).
% 209.24/209.62 cnf('0.2061.1.0',plain,
% 209.24/209.62 ( ld(X1,rd(mult(X2,X1),X2)) = rd(ld(X1,mult(X2,X1)),X2) ),
% 209.24/209.62 inference(weigh,[status(thm)],['0.2061.0.1']),
% 209.24/209.62 [weight('<119,2057,551,[0,0,0,3]>')]).
% 209.24/209.62 cnf('0.2061.2.0',plain,
% 209.24/209.62 ( ld(X1,rd(mult(X2,X1),X2)) = rd(ld(X1,mult(X2,X1)),X2) ),
% 209.24/209.62 inference(orient,[status(thm)],['0.2061.1.0',theory(equality)]),
% 209.24/209.62 [u,rule_2056]).
% 209.24/209.62 cnf('0.2128.0.0',plain,
% 209.24/209.62 ( asoc(X1,X2,rd(X3,op_c)) = ld(mult(X1,rd(mult(X2,X3),op_c)),mult(mult(X1,X2),rd(X3,op_c))) ),
% 209.24/209.62 inference(cp,[status(thm)],['0.12.2.0','0.26.2.0',theory(equality)]),
% 209.24/209.62 [pos('L.1.2','L')]).
% 209.24/209.62 cnf('0.2128.0.1',plain,
% 209.24/209.62 ( asoc(X1,X2,rd(X3,op_c)) = ld(rd(mult(X1,mult(X2,X3)),op_c),mult(mult(X1,X2),rd(X3,op_c))) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2128.0.0','0.26.2.0',theory(equality)]),
% 209.24/209.62 [pos('R.1','L')]).
% 209.24/209.62 cnf('0.2128.0.2',plain,
% 209.24/209.62 ( asoc(X1,X2,rd(X3,op_c)) = ld(rd(mult(X1,mult(X2,X3)),op_c),rd(mult(mult(X1,X2),X3),op_c)) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2128.0.1','0.26.2.0',theory(equality)]),
% 209.24/209.62 [pos('R.2','L')]).
% 209.24/209.62 cnf('0.2128.1.0',plain,
% 209.24/209.62 ( asoc(X1,X2,rd(X3,op_c)) = ld(rd(mult(X1,mult(X2,X3)),op_c),rd(mult(mult(X1,X2),X3),op_c)) ),
% 209.24/209.62 inference(weigh,[status(thm)],['0.2128.0.2']),
% 209.24/209.62 [weight('<?,26,12,[0,0,0,3]>')]).
% 209.24/209.62 cnf('0.2128.1.1',plain,
% 209.24/209.62 ( asoc(X1,X2,rd(X3,op_c)) = rd(mult(op_c,ld(mult(X1,mult(X2,X3)),mult(mult(X1,X2),X3))),op_c) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2128.1.0','0.550.2.0',theory(equality)]),
% 209.24/209.62 [pos('R','L')]).
% 209.24/209.62 cnf('0.2128.1.2',plain,
% 209.24/209.62 ( asoc(X1,X2,rd(X3,op_c)) = rd(ld(rd(mult(X1,mult(X2,X3)),op_c),mult(mult(X1,X2),X3)),op_c) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2128.1.1','0.87.2.0',theory(equality)]),
% 209.24/209.62 [pos('R.1','L')]).
% 209.24/209.62 cnf('0.2128.2.0',plain,
% 209.24/209.62 ( rd(ld(rd(mult(X1,mult(X2,X3)),op_c),mult(mult(X1,X2),X3)),op_c) = asoc(X1,X2,rd(X3,op_c)) ),
% 209.24/209.62 inference(orient,[status(thm)],['0.2128.1.2',theory(equality)]),
% 209.24/209.62 [x,rule_2123]).
% 209.24/209.62 cnf('0.2132.0.0',plain,
% 209.24/209.62 ( rd(ld(op_c,ld(rd(mult(X1,mult(X2,X3)),op_c),mult(mult(X1,X2),X3))),op_c) = ld(op_c,asoc(X1,X2,rd(X3,op_c))) ),
% 209.24/209.62 inference(cp,[status(thm)],['0.69.2.0','0.2128.2.0',theory(equality)]),
% 209.24/209.62 [pos('L.2','L')]).
% 209.24/209.62 cnf('0.2132.0.1',plain,
% 209.24/209.62 ( rd(ld(mult(X1,mult(X2,X3)),mult(mult(X1,X2),X3)),op_c) = ld(op_c,asoc(X1,X2,rd(X3,op_c))) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2132.0.0','0.89.2.0',theory(equality)]),
% 209.24/209.62 [pos('L.1','L')]).
% 209.24/209.62 cnf('0.2132.0.2',plain,
% 209.24/209.62 ( rd(asoc(X1,X2,X3),op_c) = ld(op_c,asoc(X1,X2,rd(X3,op_c))) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2132.0.1','0.12.2.0',theory(equality)]),
% 209.24/209.62 [pos('L.1','L')]).
% 209.24/209.62 cnf('0.2132.1.0',plain,
% 209.24/209.62 ( rd(asoc(X1,X2,X3),op_c) = ld(op_c,asoc(X1,X2,rd(X3,op_c))) ),
% 209.24/209.62 inference(weigh,[status(thm)],['0.2132.0.2']),
% 209.24/209.62 [weight('<134,2128,69,[0,0,0,2]>')]).
% 209.24/209.62 cnf('0.2132.2.0',plain,
% 209.24/209.62 ( ld(op_c,asoc(X1,X2,rd(X3,op_c))) = rd(asoc(X1,X2,X3),op_c) ),
% 209.24/209.62 inference(orient,[status(thm)],['0.2132.1.0',theory(equality)]),
% 209.24/209.62 [x,rule_2127]).
% 209.24/209.62 cnf('0.2133.0.0',plain,
% 209.24/209.62 ( asoc(X1,X2,rd(X3,op_c)) = mult(op_c,rd(asoc(X1,X2,X3),op_c)) ),
% 209.24/209.62 inference(cp,[status(thm)],['0.1.2.0','0.2132.2.0',theory(equality)]),
% 209.24/209.62 [pos('L.2','L')]).
% 209.24/209.62 cnf('0.2133.0.1',plain,
% 209.24/209.62 ( asoc(X1,X2,rd(X3,op_c)) = rd(mult(op_c,asoc(X1,X2,X3)),op_c) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2133.0.0','0.40.2.0',theory(equality)]),
% 209.24/209.62 [pos('R','L')]).
% 209.24/209.62 cnf('0.2133.1.0',plain,
% 209.24/209.62 ( asoc(X1,X2,rd(X3,op_c)) = rd(mult(op_c,asoc(X1,X2,X3)),op_c) ),
% 209.24/209.62 inference(weigh,[status(thm)],['0.2133.0.1']),
% 209.24/209.62 [weight('<134,2132,1,[0,0,0,2]>')]).
% 209.24/209.62 cnf('0.2133.2.0',plain,
% 209.24/209.62 ( rd(mult(op_c,asoc(X1,X2,X3)),op_c) = asoc(X1,X2,rd(X3,op_c)) ),
% 209.24/209.62 inference(orient,[status(thm)],['0.2133.1.0',theory(equality)]),
% 209.24/209.62 [x,rule_2128]).
% 209.24/209.62 cnf('0.2367.0.0',plain,
% 209.24/209.62 ( mult(op_c,mult(rd(mult(X1,rd(unit,X2)),X1),X3)) = mult(rd(mult(op_c,X1),mult(X1,X2)),X3) ),
% 209.24/209.62 inference(cp,[status(thm)],['0.151.2.0','0.1796.2.0',theory(equality)]),
% 209.24/209.62 [pos('L.1','L')]).
% 209.24/209.62 cnf('0.2367.0.1',plain,
% 209.24/209.62 ( mult(op_c,mult(X1,mult(rd(unit,X2),ld(X1,X3)))) = mult(rd(mult(op_c,X1),mult(X1,X2)),X3) ),
% 209.24/209.62 inference(reduction,[status(thm)],['0.2367.0.0','0.447.2.0',theory(equality)]),
% 209.24/209.62 [pos('L.2','L')]).
% 209.24/209.62 cnf('0.2367.0.2',plain,
% 209.24/209.62 ( mult(op_c,mult(X1,mult(rd(unit,X2),ld(X1,X3)))) = mult(op_c,mult(rd(X1,mult(X1,X2)),X3)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.2367.0.1','0.151.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.2367.1.0',plain,
% 209.24/209.63 ( mult(X1,mult(rd(unit,X2),ld(X1,X3))) = mult(rd(X1,mult(X1,X2)),X3) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.2367.0.2']),
% 209.24/209.63 [weight('<169,1796,151,[0,0,0,1]>')]).
% 209.24/209.63 cnf('0.2367.2.0',plain,
% 209.24/209.63 ( mult(X1,mult(rd(unit,X2),ld(X1,X3))) = mult(rd(X1,mult(X1,X2)),X3) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.2367.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_2362]).
% 209.24/209.63 cnf('0.2380.0.0',plain,
% 209.24/209.63 ( rd(unit,ld(X1,ld(X2,mult(X1,X2)))) = ld(mult(X1,X2),mult(X2,X1)) ),
% 209.24/209.63 inference(interreduction_right,[status(thm)],['0.1877.2.0'])).
% 209.24/209.63 cnf('0.2380.0.1',plain,
% 209.24/209.63 ( rd(unit,ld(X1,ld(X2,mult(X1,X2)))) = ld(X2,ld(X1,mult(X2,X1))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.2380.0.0','0.2057.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.2380.1.0',plain,
% 209.24/209.63 ( rd(unit,ld(X1,ld(X2,mult(X1,X2)))) = ld(X2,ld(X1,mult(X2,X1))) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.2380.0.1']),
% 209.24/209.63 [weight('<169,1877,2057,[0,0,0,0]>')]).
% 209.24/209.63 cnf('0.2380.2.0',plain,
% 209.24/209.63 ( rd(unit,ld(X1,ld(X2,mult(X1,X2)))) = ld(X2,ld(X1,mult(X2,X1))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.2380.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_2375]).
% 209.24/209.63 cnf('0.2390.0.0',plain,
% 209.24/209.63 ( ld(mult(rd(unit,X1),X2),rd(X3,X1)) = rd(ld(X2,mult(X1,X3)),X1) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.2037.2.0','0.3.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1.2.2','L')]).
% 209.24/209.63 cnf('0.2390.1.0',plain,
% 209.24/209.63 ( ld(mult(rd(unit,X1),X2),rd(X3,X1)) = rd(ld(X2,mult(X1,X3)),X1) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.2390.0.0']),
% 209.24/209.63 [weight('<169,2037,3,[1,0,0,5]>')]).
% 209.24/209.63 cnf('0.2390.2.0',plain,
% 209.24/209.63 ( ld(mult(rd(unit,X1),X2),rd(X3,X1)) = rd(ld(X2,mult(X1,X3)),X1) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.2390.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_2385]).
% 209.24/209.63 cnf('0.2515.0.0',plain,
% 209.24/209.63 ( ld(rd(mult(X1,X2),X1),ld(X1,mult(rd(mult(X1,X2),X1),X1))) = rd(unit,ld(X1,mult(X1,ld(X2,rd(mult(X1,X2),X1))))) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.2380.2.0','0.892.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.2','L')]).
% 209.24/209.63 cnf('0.2515.0.1',plain,
% 209.24/209.63 ( ld(rd(mult(X1,X2),X1),rd(ld(X1,mult(X1,X2)),ld(X1,X1))) = rd(unit,ld(X1,mult(X1,ld(X2,rd(mult(X1,X2),X1))))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.2515.0.0','0.629.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2','L')]).
% 209.24/209.63 cnf('0.2515.0.2',plain,
% 209.24/209.63 ( ld(rd(mult(X1,X2),X1),rd(X2,ld(X1,X1))) = rd(unit,ld(X1,mult(X1,ld(X2,rd(mult(X1,X2),X1))))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.2515.0.1','0.5.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.1','L')]).
% 209.24/209.63 cnf('0.2515.0.3',plain,
% 209.24/209.63 ( ld(rd(mult(X1,X2),X1),rd(X2,unit)) = rd(unit,ld(X1,mult(X1,ld(X2,rd(mult(X1,X2),X1))))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.2515.0.2','0.15.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.2','L')]).
% 209.24/209.63 cnf('0.2515.0.4',plain,
% 209.24/209.63 ( ld(rd(mult(X1,X2),X1),X2) = rd(unit,ld(X1,mult(X1,ld(X2,rd(mult(X1,X2),X1))))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.2515.0.3','0.13.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2','L')]).
% 209.24/209.63 cnf('0.2515.0.5',plain,
% 209.24/209.63 ( rd(X1,ld(X2,mult(X1,X2))) = rd(unit,ld(X1,mult(X1,ld(X2,rd(mult(X1,X2),X1))))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.2515.0.4','0.889.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.2515.0.6',plain,
% 209.24/209.63 ( rd(X1,ld(X2,mult(X1,X2))) = rd(unit,ld(X2,rd(mult(X1,X2),X1))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.2515.0.5','0.5.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2','L')]).
% 209.24/209.63 cnf('0.2515.0.7',plain,
% 209.24/209.63 ( rd(X1,ld(X2,mult(X1,X2))) = rd(unit,rd(ld(X2,mult(X1,X2)),X1)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.2515.0.6','0.2061.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2','L')]).
% 209.24/209.63 cnf('0.2515.1.0',plain,
% 209.24/209.63 ( rd(X1,ld(X2,mult(X1,X2))) = rd(unit,rd(ld(X2,mult(X1,X2)),X1)) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.2515.0.7']),
% 209.24/209.63 [weight('<169,2380,892,[1,0,0,4]>')]).
% 209.24/209.63 cnf('0.2515.2.0',plain,
% 209.24/209.63 ( rd(unit,rd(ld(X1,mult(X2,X1)),X2)) = rd(X2,ld(X1,mult(X2,X1))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.2515.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_2510]).
% 209.24/209.63 cnf('0.2517.0.0',plain,
% 209.24/209.63 ( ld(rd(unit,X1),rd(rd(X2,X1),X3)) = rd(mult(X3,rd(ld(X3,mult(X1,X2)),X1)),X3) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.551.2.0','0.2390.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1.2','L')]).
% 209.24/209.63 cnf('0.2517.0.1',plain,
% 209.24/209.63 ( ld(rd(unit,X1),rd(rd(X2,X1),X3)) = rd(mult(X3,ld(X3,mult(X1,X2))),mult(X3,X1)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.2517.0.0','0.670.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.2517.0.2',plain,
% 209.24/209.63 ( ld(rd(unit,X1),rd(rd(X2,X1),X3)) = rd(mult(X1,X2),mult(X3,X1)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.2517.0.1','0.1.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1','L')]).
% 209.24/209.63 cnf('0.2517.1.0',plain,
% 209.24/209.63 ( ld(rd(unit,X1),rd(rd(X2,X1),X3)) = rd(mult(X1,X2),mult(X3,X1)) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.2517.0.2']),
% 209.24/209.63 [weight('<169,2390,551,[0,0,0,3]>')]).
% 209.24/209.63 cnf('0.2517.2.0',plain,
% 209.24/209.63 ( ld(rd(unit,X1),rd(rd(X2,X1),X3)) = rd(mult(X1,X2),mult(X3,X1)) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.2517.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_2512]).
% 209.24/209.63 cnf('0.2677.0.0',plain,
% 209.24/209.63 ( mult(X1,X2) = ld(rd(X3,X1),mult(X1,mult(ld(X1,X3),X2))) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.5.2.0','0.108.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2','L')]).
% 209.24/209.63 cnf('0.2677.1.0',plain,
% 209.24/209.63 ( mult(X1,X2) = ld(rd(X3,X1),mult(X1,mult(ld(X1,X3),X2))) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.2677.0.0']),
% 209.24/209.63 [weight('<179,108,5,[0,0,0,2]>')]).
% 209.24/209.63 cnf('0.2677.2.0',plain,
% 209.24/209.63 ( ld(rd(X1,X2),mult(X2,mult(ld(X2,X1),X3))) = mult(X2,X3) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.2677.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_2672]).
% 209.24/209.63 cnf('0.2678.0.0',plain,
% 209.24/209.63 ( mult(X1,ld(X2,ld(X1,X2))) = ld(rd(X2,X1),mult(X1,ld(X1,mult(rd(unit,X1),X2)))) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.2677.2.0','0.1194.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.2','L')]).
% 209.24/209.63 cnf('0.2678.0.1',plain,
% 209.24/209.63 ( ld(rd(mult(X1,X2),X1),X2) = ld(rd(X2,X1),mult(X1,ld(X1,mult(rd(unit,X1),X2)))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.2678.0.0','0.888.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.2678.0.2',plain,
% 209.24/209.63 ( rd(X1,ld(X2,mult(X1,X2))) = ld(rd(X2,X1),mult(X1,ld(X1,mult(rd(unit,X1),X2)))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.2678.0.1','0.889.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.2678.0.3',plain,
% 209.24/209.63 ( rd(X1,ld(X2,mult(X1,X2))) = ld(rd(X2,X1),mult(rd(unit,X1),X2)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.2678.0.2','0.1.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2','L')]).
% 209.24/209.63 cnf('0.2678.1.0',plain,
% 209.24/209.63 ( rd(X1,ld(X2,mult(X1,X2))) = ld(rd(X2,X1),mult(rd(unit,X1),X2)) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.2678.0.3']),
% 209.24/209.63 [weight('<169,2677,1194,[1,0,0,6]>')]).
% 209.24/209.63 cnf('0.2678.2.0',plain,
% 209.24/209.63 ( ld(rd(X1,X2),mult(rd(unit,X2),X1)) = rd(X2,ld(X1,mult(X2,X1))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.2678.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_2673]).
% 209.24/209.63 cnf('0.2731.0.0',plain,
% 209.24/209.63 ( mult(X1,op_c) = ld(ld(X1,unit),mult(op_c,mult(ld(X1,unit),X1))) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.5.2.0','0.564.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2','L')]).
% 209.24/209.63 cnf('0.2731.1.0',plain,
% 209.24/209.63 ( mult(X1,op_c) = ld(ld(X1,unit),mult(op_c,mult(ld(X1,unit),X1))) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.2731.0.0']),
% 209.24/209.63 [weight('<179,564,5,[0,0,0,2]>')]).
% 209.24/209.63 cnf('0.2731.2.0',plain,
% 209.24/209.63 ( ld(ld(X1,unit),mult(op_c,mult(ld(X1,unit),X1))) = mult(X1,op_c) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.2731.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_2726]).
% 209.24/209.63 cnf('0.4642.0.0',plain,
% 209.24/209.63 ( ld(X1,mult(rd(mult(X2,op_c),X1),X3)) = mult(ld(X1,X2),mult(op_c,ld(X1,X3))) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.327.2.0','0.150.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.4642.0.1',plain,
% 209.24/209.63 ( ld(X1,mult(rd(X2,rd(X1,op_c)),X3)) = mult(ld(X1,X2),mult(op_c,ld(X1,X3))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.4642.0.0','0.58.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.1','L')]).
% 209.24/209.63 cnf('0.4642.0.2',plain,
% 209.24/209.63 ( ld(X1,mult(rd(X2,rd(X1,op_c)),X3)) = mult(ld(X1,X2),ld(rd(X1,op_c),X3)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.4642.0.1','0.87.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2','L')]).
% 209.24/209.63 cnf('0.4642.1.0',plain,
% 209.24/209.63 ( ld(X1,mult(rd(X2,rd(X1,op_c)),X3)) = mult(ld(X1,X2),ld(rd(X1,op_c),X3)) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.4642.0.2']),
% 209.24/209.63 [weight('<189,327,150,[1,0,0,0]>')]).
% 209.24/209.63 cnf('0.4642.2.0',plain,
% 209.24/209.63 ( mult(ld(X1,X2),ld(rd(X1,op_c),X3)) = ld(X1,mult(rd(X2,rd(X1,op_c)),X3)) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.4642.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_4637]).
% 209.24/209.63 cnf('0.4679.0.0',plain,
% 209.24/209.63 ( mult(X1,ld(mult(X2,X1),mult(X3,op_c))) = mult(ld(X2,rd(X3,rd(X1,op_c))),X1) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.426.2.0','0.58.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1.2','L')]).
% 209.24/209.63 cnf('0.4679.1.0',plain,
% 209.24/209.63 ( mult(X1,ld(mult(X2,X1),mult(X3,op_c))) = mult(ld(X2,rd(X3,rd(X1,op_c))),X1) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.4679.0.0']),
% 209.24/209.63 [weight('<189,426,58,[1,0,0,3]>')]).
% 209.24/209.63 cnf('0.4679.2.0',plain,
% 209.24/209.63 ( mult(ld(X1,rd(X2,rd(X3,op_c))),X3) = mult(X3,ld(mult(X1,X3),mult(X2,op_c))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.4679.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_4674]).
% 209.24/209.63 cnf('0.4682.0.0',plain,
% 209.24/209.63 ( mult(rd(X1,X2),ld(X3,rd(X4,X2))) = rd(mult(X1,ld(X2,mult(X2,ld(mult(X3,X2),X4)))),X2) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.378.2.0','0.426.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1.2.2','L')]).
% 209.24/209.63 cnf('0.4682.0.1',plain,
% 209.24/209.63 ( mult(rd(X1,X2),ld(X3,rd(X4,X2))) = rd(mult(X1,ld(mult(X3,X2),X4)),X2) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.4682.0.0','0.5.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1.2','L')]).
% 209.24/209.63 cnf('0.4682.1.0',plain,
% 209.24/209.63 ( mult(rd(X1,X2),ld(X3,rd(X4,X2))) = rd(mult(X1,ld(mult(X3,X2),X4)),X2) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.4682.0.1']),
% 209.24/209.63 [weight('<189,426,378,[0,0,0,5]>')]).
% 209.24/209.63 cnf('0.4682.2.0',plain,
% 209.24/209.63 ( mult(rd(X1,X2),ld(X3,rd(X4,X2))) = rd(mult(X1,ld(mult(X3,X2),X4)),X2) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.4682.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_4677]).
% 209.24/209.63 cnf('0.4750.0.0',plain,
% 209.24/209.63 ( ld(rd(X1,X2),mult(X3,rd(X1,X2))) = rd(ld(rd(X1,X2),mult(X3,X1)),X2) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.525.2.0','0.3.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1.2.2','L')]).
% 209.24/209.63 cnf('0.4750.1.0',plain,
% 209.24/209.63 ( ld(rd(X1,X2),mult(X3,rd(X1,X2))) = rd(ld(rd(X1,X2),mult(X3,X1)),X2) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.4750.0.0']),
% 209.24/209.63 [weight('<189,525,3,[1,0,0,5]>')]).
% 209.24/209.63 cnf('0.4750.2.0',plain,
% 209.24/209.63 ( ld(rd(X1,X2),mult(X3,rd(X1,X2))) = rd(ld(rd(X1,X2),mult(X3,X1)),X2) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.4750.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_4745]).
% 209.24/209.63 cnf('0.4756.0.0',plain,
% 209.24/209.63 ( rd(mult(ld(X1,ld(op_c,X2)),ld(X2,X3)),X2) = mult(rd(ld(X1,X2),mult(op_c,X2)),rd(X3,X2)) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.383.2.0','0.530.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.4756.0.1',plain,
% 209.24/209.63 ( rd(mult(ld(X1,ld(op_c,X2)),ld(X2,X3)),X2) = mult(rd(ld(X1,X2),X2),ld(op_c,rd(X3,X2))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.4756.0.0','0.166.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.4756.0.2',plain,
% 209.24/209.63 ( rd(mult(ld(X1,ld(op_c,X2)),ld(X2,X3)),X2) = mult(rd(ld(X1,X2),X2),rd(ld(op_c,X3),X2)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.4756.0.1','0.69.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2','L')]).
% 209.24/209.63 cnf('0.4756.0.3',plain,
% 209.24/209.63 ( rd(mult(ld(X1,ld(op_c,X2)),ld(X2,X3)),X2) = rd(mult(ld(X1,X2),ld(X2,ld(op_c,X3))),X2) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.4756.0.2','0.383.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.4756.1.0',plain,
% 209.24/209.63 ( mult(ld(X1,ld(op_c,X2)),ld(X2,X3)) = mult(ld(X1,X2),ld(X2,ld(op_c,X3))) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.4756.0.3']),
% 209.24/209.63 [weight('<189,530,383,[0,0,0,1]>')]).
% 209.24/209.63 cnf('0.4756.2.0',plain,
% 209.24/209.63 ( mult(ld(X1,ld(op_c,X2)),ld(X2,X3)) = mult(ld(X1,X2),ld(X2,ld(op_c,X3))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.4756.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_4751]).
% 209.24/209.63 cnf('0.4773.0.0',plain,
% 209.24/209.63 ( mult(rd(X1,X2),ld(X3,mult(X2,X3))) = mult(rd(X1,ld(X2,mult(X3,X2))),X3) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.147.2.0','0.543.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.4773.1.0',plain,
% 209.24/209.63 ( mult(rd(X1,X2),ld(X3,mult(X2,X3))) = mult(rd(X1,ld(X2,mult(X3,X2))),X3) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.4773.0.0']),
% 209.24/209.63 [weight('<189,543,147,[0,0,0,1]>')]).
% 209.24/209.63 cnf('0.4773.2.0',plain,
% 209.24/209.63 ( mult(rd(X1,ld(X2,mult(X3,X2))),X3) = mult(rd(X1,X2),ld(X3,mult(X2,X3))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.4773.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_4768]).
% 209.24/209.63 cnf('0.4808.0.0',plain,
% 209.24/209.63 ( rd(mult(X1,ld(rd(X2,op_c),X3)),X1) = ld(rd(X2,mult(X1,op_c)),rd(X3,X1)) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.550.2.0','0.60.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.4808.1.0',plain,
% 209.24/209.63 ( rd(mult(X1,ld(rd(X2,op_c),X3)),X1) = ld(rd(X2,mult(X1,op_c)),rd(X3,X1)) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.4808.0.0']),
% 209.24/209.63 [weight('<189,550,60,[1,0,0,1]>')]).
% 209.24/209.63 cnf('0.4808.2.0',plain,
% 209.24/209.63 ( ld(rd(X1,mult(X2,op_c)),rd(X3,X2)) = rd(mult(X2,ld(rd(X1,op_c),X3)),X2) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.4808.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_4803]).
% 209.24/209.63 cnf('0.4820.0.0',plain,
% 209.24/209.63 ( ld(ld(X1,ld(op_c,X1)),mult(rd(X2,ld(X1,ld(op_c,X1))),X3)) = mult(ld(X1,mult(op_c,mult(X1,X2))),ld(ld(X1,ld(op_c,X1)),X3)) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.327.2.0','0.586.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.4820.0.1',plain,
% 209.24/209.63 ( ld(X1,mult(op_c,mult(X1,mult(rd(X2,ld(X1,ld(op_c,X1))),X3)))) = mult(ld(X1,mult(op_c,mult(X1,X2))),ld(ld(X1,ld(op_c,X1)),X3)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.4820.0.0','0.586.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.4820.0.2',plain,
% 209.24/209.63 ( ld(X1,mult(op_c,mult(X1,mult(rd(X2,ld(X1,ld(op_c,X1))),X3)))) = mult(ld(X1,mult(op_c,mult(X1,X2))),ld(X1,mult(op_c,mult(X1,X3)))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.4820.0.1','0.586.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2','L')]).
% 209.24/209.63 cnf('0.4820.0.3',plain,
% 209.24/209.63 ( ld(X1,mult(op_c,mult(X1,mult(rd(X2,ld(X1,ld(op_c,X1))),X3)))) = ld(X1,mult(rd(mult(op_c,mult(X1,X2)),X1),mult(op_c,mult(X1,X3)))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.4820.0.2','0.327.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.4820.0.4',plain,
% 209.24/209.63 ( ld(X1,mult(op_c,mult(X1,mult(rd(X2,ld(X1,ld(op_c,X1))),X3)))) = ld(X1,mult(op_c,mult(rd(mult(X1,X2),X1),mult(op_c,mult(X1,X3))))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.4820.0.3','0.151.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2','L')]).
% 209.24/209.63 cnf('0.4820.0.5',plain,
% 209.24/209.63 ( ld(X1,mult(op_c,mult(X1,mult(rd(X2,ld(X1,ld(op_c,X1))),X3)))) = ld(X1,mult(op_c,mult(X1,mult(X2,ld(X1,mult(op_c,mult(X1,X3))))))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.4820.0.4','0.447.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.2','L')]).
% 209.24/209.63 cnf('0.4820.1.0',plain,
% 209.24/209.63 ( mult(rd(X2,ld(X1,ld(op_c,X1))),X3) = mult(X2,ld(X1,mult(op_c,mult(X1,X3)))) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.4820.0.5']),
% 209.24/209.63 [weight('<189,586,327,[0,0,0,1]>')]).
% 209.24/209.63 cnf('0.4820.2.0',plain,
% 209.24/209.63 ( mult(rd(X1,ld(X2,ld(op_c,X2))),X3) = mult(X1,ld(X2,mult(op_c,mult(X2,X3)))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.4820.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_4815]).
% 209.24/209.63 cnf('0.4884.0.0',plain,
% 209.24/209.63 ( rd(mult(X1,X2),ld(X3,mult(X2,X3))) = mult(rd(X1,rd(mult(X2,X3),X2)),X3) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.543.2.0','0.650.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.4884.1.0',plain,
% 209.24/209.63 ( rd(mult(X1,X2),ld(X3,mult(X2,X3))) = mult(rd(X1,rd(mult(X2,X3),X2)),X3) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.4884.0.0']),
% 209.24/209.63 [weight('<189,650,543,[0,0,0,1]>')]).
% 209.24/209.63 cnf('0.4884.2.0',plain,
% 209.24/209.63 ( mult(rd(X1,rd(mult(X2,X3),X2)),X3) = rd(mult(X1,X2),ld(X3,mult(X2,X3))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.4884.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_4879]).
% 209.24/209.63 cnf('0.4899.0.0',plain,
% 209.24/209.63 ( mult(mult(X1,X2),ld(X3,mult(X1,X3))) = mult(mult(X1,rd(X2,ld(X1,X3))),X3) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.147.2.0','0.660.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.4899.1.0',plain,
% 209.24/209.63 ( mult(mult(X1,X2),ld(X3,mult(X1,X3))) = mult(mult(X1,rd(X2,ld(X1,X3))),X3) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.4899.0.0']),
% 209.24/209.63 [weight('<189,660,147,[0,0,0,1]>')]).
% 209.24/209.63 cnf('0.4899.2.0',plain,
% 209.24/209.63 ( mult(mult(X1,rd(X2,ld(X1,X3))),X3) = mult(mult(X1,X2),ld(X3,mult(X1,X3))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.4899.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_4894]).
% 209.24/209.63 cnf('0.6305.0.0',plain,
% 209.24/209.63 ( mult(mult(X1,rd(X2,mult(X3,X4))),X3) = mult(mult(X1,X3),ld(X3,mult(X3,rd(ld(X3,X2),X4)))) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.10.2.0','0.744.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.2','L')]).
% 209.24/209.63 cnf('0.6305.0.1',plain,
% 209.24/209.63 ( mult(mult(X1,rd(X2,mult(X3,X4))),X3) = mult(mult(X1,X3),rd(ld(X3,X2),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.6305.0.0','0.5.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2','L')]).
% 209.24/209.63 cnf('0.6305.1.0',plain,
% 209.24/209.63 ( mult(mult(X1,rd(X2,mult(X3,X4))),X3) = mult(mult(X1,X3),rd(ld(X3,X2),X4)) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.6305.0.1']),
% 209.24/209.63 [weight('<189,744,10,[0,0,0,6]>')]).
% 209.24/209.63 cnf('0.6305.2.0',plain,
% 209.24/209.63 ( mult(mult(X1,rd(X2,mult(X3,X4))),X3) = mult(mult(X1,X3),rd(ld(X3,X2),X4)) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.6305.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_6296]).
% 209.24/209.63 cnf('0.6616.0.0',plain,
% 209.24/209.63 ( ld(X1,mult(mult(X1,rd(ld(X1,unit),mult(X2,ld(op_c,ld(X1,unit))))),X3)) = mult(rd(op_c,ld(rd(unit,ld(X1,unit)),X2)),ld(X1,X3)) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.1330.2.0','0.1281.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.6616.0.1',plain,
% 209.24/209.63 ( ld(X1,mult(rd(X1,rd(mult(X2,ld(op_c,ld(X1,unit))),ld(X1,unit))),X3)) = mult(rd(op_c,ld(rd(unit,ld(X1,unit)),X2)),ld(X1,X3)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.6616.0.0','0.709.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.1','L')]).
% 209.24/209.63 cnf('0.6616.0.2',plain,
% 209.24/209.63 ( ld(X1,mult(rd(X1,rd(X2,op_c)),X3)) = mult(rd(op_c,ld(rd(unit,ld(X1,unit)),X2)),ld(X1,X3)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.6616.0.1','0.62.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.1.2','L')]).
% 209.24/209.63 cnf('0.6616.0.3',plain,
% 209.24/209.63 ( ld(X1,mult(rd(X1,rd(X2,op_c)),X3)) = mult(rd(op_c,ld(X1,X2)),ld(X1,X3)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.6616.0.2','0.19.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1.2.1','L')]).
% 209.24/209.63 cnf('0.6616.1.0',plain,
% 209.24/209.63 ( ld(X1,mult(rd(X1,rd(X2,op_c)),X3)) = mult(rd(op_c,ld(X1,X2)),ld(X1,X3)) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.6616.0.3']),
% 209.24/209.63 [weight('<189,1330,1281,[1,0,0,1]>')]).
% 209.24/209.63 cnf('0.6616.2.0',plain,
% 209.24/209.63 ( mult(rd(op_c,ld(X1,X2)),ld(X1,X3)) = ld(X1,mult(rd(X1,rd(X2,op_c)),X3)) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.6616.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_6605]).
% 209.24/209.63 cnf('0.6964.0.0',plain,
% 209.24/209.63 ( mult(rd(op_c,ld(X1,X2)),ld(X1,X3)) = mult(op_c,ld(X1,mult(rd(X1,X2),X3))) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.152.2.0','0.1856.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2','L')]).
% 209.24/209.63 cnf('0.6964.0.1',plain,
% 209.24/209.63 ( mult(rd(op_c,ld(X1,X2)),ld(X1,X3)) = ld(rd(X1,op_c),mult(rd(X1,X2),X3)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.6964.0.0','0.87.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.6964.1.0',plain,
% 209.24/209.63 ( mult(rd(op_c,ld(X1,X2)),ld(X1,X3)) = ld(rd(X1,op_c),mult(rd(X1,X2),X3)) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.6964.0.1']),
% 209.24/209.63 [weight('<189,1856,152,[0,0,0,2]>')]).
% 209.24/209.63 cnf('0.6964.1.1',plain,
% 209.24/209.63 ( ld(X1,mult(rd(X1,rd(X2,op_c)),X3)) = ld(rd(X1,op_c),mult(rd(X1,X2),X3)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.6964.1.0','0.6616.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.6964.2.0',plain,
% 209.24/209.63 ( ld(rd(X1,op_c),mult(rd(X1,X2),X3)) = ld(X1,mult(rd(X1,rd(X2,op_c)),X3)) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.6964.1.1',theory(equality)]),
% 209.24/209.63 [x,rule_6951]).
% 209.24/209.63 cnf('0.6994.0.0',plain,
% 209.24/209.63 ( mult(mult(X1,rd(X2,X3)),mult(X1,X3)) = mult(X1,rd(X2,ld(X3,mult(ld(X1,unit),X3)))) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.2053.2.0','0.543.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2','L')]).
% 209.24/209.63 cnf('0.6994.0.1',plain,
% 209.24/209.63 ( mult(mult(X1,rd(X2,X3)),mult(X1,X3)) = mult(X1,rd(X2,ld(mult(X1,X3),X3))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.6994.0.0','0.240.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.2','L')]).
% 209.24/209.63 cnf('0.6994.1.0',plain,
% 209.24/209.63 ( mult(mult(X1,rd(X2,X3)),mult(X1,X3)) = mult(X1,rd(X2,ld(mult(X1,X3),X3))) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.6994.0.1']),
% 209.24/209.63 [weight('<189,2053,543,[1,0,0,2]>')]).
% 209.24/209.63 cnf('0.6994.2.0',plain,
% 209.24/209.63 ( mult(mult(X1,rd(X2,X3)),mult(X1,X3)) = mult(X1,rd(X2,ld(mult(X1,X3),X3))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.6994.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_6980]).
% 209.24/209.63 cnf('0.8277.0.0',plain,
% 209.24/209.63 ( ld(X1,mult(rd(mult(X2,X1),rd(X1,op_c)),X3)) = ld(X1,mult(X2,mult(X1,ld(rd(X1,op_c),X3)))) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.4642.2.0','0.334.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.8277.0.1',plain,
% 209.24/209.63 ( ld(X1,mult(rd(X2,rd(X1,mult(X1,op_c))),X3)) = ld(X1,mult(X2,mult(X1,ld(rd(X1,op_c),X3)))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8277.0.0','0.500.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.1','L')]).
% 209.24/209.63 cnf('0.8277.0.2',plain,
% 209.24/209.63 ( ld(X1,mult(rd(X2,rd(X1,mult(X1,op_c))),X3)) = ld(X1,mult(X2,rd(X1,rd(ld(X3,X1),op_c)))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8277.0.1','0.681.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.2','L')]).
% 209.24/209.63 cnf('0.8277.1.0',plain,
% 209.24/209.63 ( mult(rd(X2,rd(X1,mult(X1,op_c))),X3) = mult(X2,rd(X1,rd(ld(X3,X1),op_c))) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.8277.0.2']),
% 209.24/209.63 [weight('<189,4642,334,[1,0,0,0]>')]).
% 209.24/209.63 cnf('0.8277.2.0',plain,
% 209.24/209.63 ( mult(rd(X1,rd(X2,mult(X2,op_c))),X3) = mult(X1,rd(X2,rd(ld(X3,X2),op_c))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.8277.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_8258]).
% 209.24/209.63 cnf('0.8296.0.0',plain,
% 209.24/209.63 ( mult(rd(X1,mult(X1,X2)),rd(X3,X2)) = mult(X1,rd(mult(unit,ld(mult(X1,X2),X3)),X2)) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.2367.2.0','0.4682.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2','L')]).
% 209.24/209.63 cnf('0.8296.0.1',plain,
% 209.24/209.63 ( mult(rd(X1,mult(X1,X2)),rd(X3,X2)) = mult(X1,rd(ld(mult(X1,X2),X3),X2)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8296.0.0','0.4.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.1','L')]).
% 209.24/209.63 cnf('0.8296.1.0',plain,
% 209.24/209.63 ( mult(rd(X1,mult(X1,X2)),rd(X3,X2)) = mult(X1,rd(ld(mult(X1,X2),X3),X2)) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.8296.0.1']),
% 209.24/209.63 [weight('<189,4682,2367,[0,0,0,2]>')]).
% 209.24/209.63 cnf('0.8296.2.0',plain,
% 209.24/209.63 ( mult(rd(X1,mult(X1,X2)),rd(X3,X2)) = mult(X1,rd(ld(mult(X1,X2),X3),X2)) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.8296.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_8277]).
% 209.24/209.63 cnf('0.8318.0.0',plain,
% 209.24/209.63 ( mult(ld(ld(X1,ld(op_c,X1)),mult(X2,ld(X1,ld(op_c,X1)))),ld(X1,mult(op_c,mult(X1,X3)))) = mult(mult(rd(unit,ld(X1,ld(op_c,X1))),X2),X3) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.4820.2.0','0.379.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.8318.0.1',plain,
% 209.24/209.63 ( ld(ld(X1,ld(op_c,X1)),mult(X2,mult(ld(X1,ld(op_c,X1)),ld(X1,mult(op_c,mult(X1,X3)))))) = mult(mult(rd(unit,ld(X1,ld(op_c,X1))),X2),X3) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8318.0.0','0.334.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.8318.0.2',plain,
% 209.24/209.63 ( ld(X1,mult(op_c,mult(X1,mult(X2,mult(ld(X1,ld(op_c,X1)),ld(X1,mult(op_c,mult(X1,X3)))))))) = mult(mult(rd(unit,ld(X1,ld(op_c,X1))),X2),X3) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8318.0.1','0.586.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.8318.0.3',plain,
% 209.24/209.63 ( ld(X1,mult(op_c,mult(X1,mult(X2,mult(ld(X1,X1),ld(X1,ld(op_c,mult(op_c,mult(X1,X3))))))))) = mult(mult(rd(unit,ld(X1,ld(op_c,X1))),X2),X3) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8318.0.2','0.4756.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.2.2.2','L')]).
% 209.24/209.63 cnf('0.8318.0.4',plain,
% 209.24/209.63 ( ld(X1,mult(op_c,mult(X1,mult(X2,ld(X1,mult(rd(X1,X1),ld(op_c,mult(op_c,mult(X1,X3))))))))) = mult(mult(rd(unit,ld(X1,ld(op_c,X1))),X2),X3) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8318.0.3','0.327.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.2.2.2','L')]).
% 209.24/209.63 cnf('0.8318.0.5',plain,
% 209.24/209.63 ( ld(X1,mult(op_c,mult(X1,mult(X2,ld(X1,mult(unit,ld(op_c,mult(op_c,mult(X1,X3))))))))) = mult(mult(rd(unit,ld(X1,ld(op_c,X1))),X2),X3) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8318.0.4','0.16.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.2.2.2.2.1','L')]).
% 209.24/209.63 cnf('0.8318.0.6',plain,
% 209.24/209.63 ( ld(X1,mult(op_c,mult(X1,mult(X2,ld(X1,ld(op_c,mult(op_c,mult(X1,X3)))))))) = mult(mult(rd(unit,ld(X1,ld(op_c,X1))),X2),X3) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8318.0.5','0.4.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.2.2.2.2','L')]).
% 209.24/209.63 cnf('0.8318.0.7',plain,
% 209.24/209.63 ( ld(X1,mult(op_c,mult(X1,mult(X2,ld(X1,mult(X1,X3)))))) = mult(mult(rd(unit,ld(X1,ld(op_c,X1))),X2),X3) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8318.0.6','0.5.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.2.2.2.2','L')]).
% 209.24/209.63 cnf('0.8318.0.8',plain,
% 209.24/209.63 ( ld(X1,mult(op_c,mult(X1,mult(X2,X3)))) = mult(mult(rd(unit,ld(X1,ld(op_c,X1))),X2),X3) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8318.0.7','0.5.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.2.2.2','L')]).
% 209.24/209.63 cnf('0.8318.0.9',plain,
% 209.24/209.63 ( ld(X1,mult(op_c,mult(X1,mult(X2,X3)))) = mult(mult(unit,ld(X1,mult(op_c,mult(X1,X2)))),X3) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8318.0.8','0.4820.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1','L')]).
% 209.24/209.63 cnf('0.8318.0.10',plain,
% 209.24/209.63 ( ld(X1,mult(op_c,mult(X1,mult(X2,X3)))) = mult(ld(X1,mult(op_c,mult(X1,X2))),X3) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8318.0.9','0.4.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1','L')]).
% 209.24/209.63 cnf('0.8318.1.0',plain,
% 209.24/209.63 ( ld(X1,mult(op_c,mult(X1,mult(X2,X3)))) = mult(ld(X1,mult(op_c,mult(X1,X2))),X3) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.8318.0.10']),
% 209.24/209.63 [weight('<189,4820,379,[1,0,0,1]>')]).
% 209.24/209.63 cnf('0.8318.2.0',plain,
% 209.24/209.63 ( mult(ld(X1,mult(op_c,mult(X1,X2))),X3) = ld(X1,mult(op_c,mult(X1,mult(X2,X3)))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.8318.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_8299]).
% 209.24/209.63 cnf('0.8319.0.0',plain,
% 209.24/209.63 ( asoc(ld(X1,mult(op_c,mult(X1,X2))),X3,X4) = ld(ld(X1,mult(op_c,mult(X1,mult(X2,mult(X3,X4))))),mult(mult(ld(X1,mult(op_c,mult(X1,X2))),X3),X4)) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.12.2.0','0.8318.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.8319.0.1',plain,
% 209.24/209.63 ( asoc(ld(X1,mult(op_c,mult(X1,X2))),X3,X4) = ld(ld(X1,mult(op_c,mult(X1,mult(X2,mult(X3,X4))))),mult(ld(X1,mult(op_c,mult(X1,mult(X2,X3)))),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8319.0.0','0.8318.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.1','L')]).
% 209.24/209.63 cnf('0.8319.0.2',plain,
% 209.24/209.63 ( asoc(ld(X1,mult(op_c,mult(X1,X2))),X3,X4) = ld(ld(X1,mult(op_c,mult(X1,mult(X2,mult(X3,X4))))),ld(X1,mult(op_c,mult(X1,mult(mult(X2,X3),X4))))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8319.0.1','0.8318.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2','L')]).
% 209.24/209.63 cnf('0.8319.0.3',plain,
% 209.24/209.63 ( asoc(ld(X1,mult(op_c,mult(X1,X2))),X3,X4) = ld(X1,ld(rd(mult(op_c,mult(X1,mult(X2,mult(X3,X4)))),X1),mult(op_c,mult(X1,mult(mult(X2,X3),X4))))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8319.0.2','0.908.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.8319.0.4',plain,
% 209.24/209.63 ( asoc(ld(X1,mult(op_c,mult(X1,X2))),X3,X4) = ld(X1,ld(rd(mult(X1,mult(X2,mult(X3,X4))),X1),ld(op_c,mult(op_c,mult(X1,mult(mult(X2,X3),X4)))))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8319.0.3','0.177.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2','L')]).
% 209.24/209.63 cnf('0.8319.0.5',plain,
% 209.24/209.63 ( asoc(ld(X1,mult(op_c,mult(X1,X2))),X3,X4) = ld(mult(X2,mult(X3,X4)),ld(X1,ld(op_c,mult(op_c,mult(X1,mult(mult(X2,X3),X4)))))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8319.0.4','0.974.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.8319.0.6',plain,
% 209.24/209.63 ( asoc(ld(X1,mult(op_c,mult(X1,X2))),X3,X4) = ld(mult(X2,mult(X3,X4)),ld(X1,mult(X1,mult(mult(X2,X3),X4)))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8319.0.5','0.5.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.2','L')]).
% 209.24/209.63 cnf('0.8319.0.7',plain,
% 209.24/209.63 ( asoc(ld(X1,mult(op_c,mult(X1,X2))),X3,X4) = ld(mult(X2,mult(X3,X4)),mult(mult(X2,X3),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8319.0.6','0.5.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2','L')]).
% 209.24/209.63 cnf('0.8319.0.8',plain,
% 209.24/209.63 ( asoc(ld(X1,mult(op_c,mult(X1,X2))),X3,X4) = asoc(X2,X3,X4) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8319.0.7','0.12.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.8319.1.0',plain,
% 209.24/209.63 ( asoc(ld(X1,mult(op_c,mult(X1,X2))),X3,X4) = asoc(X2,X3,X4) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.8319.0.8']),
% 209.24/209.63 [weight('<164,8318,12,[0,0,0,1]>')]).
% 209.24/209.63 cnf('0.8319.2.0',plain,
% 209.24/209.63 ( asoc(ld(X1,mult(op_c,mult(X1,X2))),X3,X4) = asoc(X2,X3,X4) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.8319.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_8300]).
% 209.24/209.63 cnf('0.8320.0.0',plain,
% 209.24/209.63 ( asoc(X1,X2,X3) = asoc(mult(X1,op_c),X2,X3) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.8319.2.0','0.2731.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.8320.0.1',plain,
% 209.24/209.63 ( asoc(X1,X2,X3) = asoc(X1,mult(op_c,X2),X3) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8320.0.0','0.222.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.8320.1.0',plain,
% 209.24/209.63 ( asoc(X1,X2,X3) = asoc(X1,mult(op_c,X2),X3) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.8320.0.1']),
% 209.24/209.63 [weight('<76,8319,2731,[1,0,0,1]>')]).
% 209.24/209.63 cnf('0.8320.2.0',plain,
% 209.24/209.63 ( asoc(X1,mult(op_c,X2),X3) = asoc(X1,X2,X3) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.8320.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_8301]).
% 209.24/209.63 cnf('0.8322.0.0',plain,
% 209.24/209.63 ( asoc(X1,ld(op_c,X2),X3) = asoc(X1,X2,X3) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.8320.2.0','0.1.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2','L')]).
% 209.24/209.63 cnf('0.8322.1.0',plain,
% 209.24/209.63 ( asoc(X1,ld(op_c,X2),X3) = asoc(X1,X2,X3) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.8322.0.0']),
% 209.24/209.63 [weight('<76,8320,1,[1,0,0,2]>')]).
% 209.24/209.63 cnf('0.8322.2.0',plain,
% 209.24/209.63 ( asoc(X1,ld(op_c,X2),X3) = asoc(X1,X2,X3) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.8322.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_8303]).
% 209.24/209.63 cnf('0.8331.0.0',plain,
% 209.24/209.63 ( asoc(X1,ld(op_c,X2),ld(X2,X3)) = asoc(X1,X2,ld(X2,ld(op_c,X3))) ),
% 209.24/209.63 inference(interreduction_right,[status(thm)],['0.1025.2.0'])).
% 209.24/209.63 cnf('0.8331.0.1',plain,
% 209.24/209.63 ( asoc(X1,X2,ld(X2,X3)) = asoc(X1,X2,ld(X2,ld(op_c,X3))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8331.0.0','0.8322.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.8331.1.0',plain,
% 209.24/209.63 ( asoc(X1,X2,ld(X2,X3)) = asoc(X1,X2,ld(X2,ld(op_c,X3))) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.8331.0.1']),
% 209.24/209.63 [weight('<134,1025,8322,[0,0,0,0]>')]).
% 209.24/209.63 cnf('0.8331.2.0',plain,
% 209.24/209.63 ( asoc(X1,X2,ld(X2,ld(op_c,X3))) = asoc(X1,X2,ld(X2,X3)) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.8331.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_8312]).
% 209.24/209.63 cnf('0.8343.0.0',plain,
% 209.24/209.63 ( asoc(ld(X1,X2),X3,X4) = asoc(ld(X1,mult(op_c,X2)),X3,X4) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.8319.2.0','0.1.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1.2.2','L')]).
% 209.24/209.63 cnf('0.8343.1.0',plain,
% 209.24/209.63 ( asoc(ld(X1,X2),X3,X4) = asoc(ld(X1,mult(op_c,X2)),X3,X4) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.8343.0.0']),
% 209.24/209.63 [weight('<134,8319,1,[1,0,0,5]>')]).
% 209.24/209.63 cnf('0.8343.2.0',plain,
% 209.24/209.63 ( asoc(ld(X1,mult(op_c,X2)),X3,X4) = asoc(ld(X1,X2),X3,X4) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.8343.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_8324]).
% 209.24/209.63 cnf('0.8405.0.0',plain,
% 209.24/209.63 ( asoc(ld(X1,rd(ld(op_c,op_c),X2)),X3,X4) = asoc(ld(X1,rd(op_c,rd(X2,ld(op_c,op_c)))),X3,X4) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.8343.2.0','0.710.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1.2','L')]).
% 209.24/209.63 cnf('0.8405.0.1',plain,
% 209.24/209.63 ( asoc(ld(X1,rd(unit,X2)),X3,X4) = asoc(ld(X1,rd(op_c,rd(X2,ld(op_c,op_c)))),X3,X4) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8405.0.0','0.15.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1.2.1','L')]).
% 209.24/209.63 cnf('0.8405.0.2',plain,
% 209.24/209.63 ( asoc(ld(X1,rd(unit,X2)),X3,X4) = asoc(ld(X1,rd(unit,rd(X2,op_c))),X3,X4) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8405.0.1','0.109.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1.2','L')]).
% 209.24/209.63 cnf('0.8405.0.3',plain,
% 209.24/209.63 ( asoc(ld(X1,rd(unit,X2)),X3,X4) = asoc(ld(X1,rd(op_c,X2)),X3,X4) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8405.0.2','0.49.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1.2','L')]).
% 209.24/209.63 cnf('0.8405.1.0',plain,
% 209.24/209.63 ( asoc(ld(X1,rd(unit,X2)),X3,X4) = asoc(ld(X1,rd(op_c,X2)),X3,X4) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.8405.0.3']),
% 209.24/209.63 [weight('<152,8343,710,[1,0,0,3]>')]).
% 209.24/209.63 cnf('0.8405.2.0',plain,
% 209.24/209.63 ( asoc(ld(X1,rd(op_c,X2)),X3,X4) = asoc(ld(X1,rd(unit,X2)),X3,X4) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.8405.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_8386]).
% 209.24/209.63 cnf('0.8514.0.0',plain,
% 209.24/209.63 ( asoc(ld(rd(rd(unit,X1),X2),rd(unit,X1)),X3,X4) = asoc(rd(X2,rd(X1,mult(X1,op_c))),X3,X4) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.8405.2.0','0.1521.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.8514.0.1',plain,
% 209.24/209.63 ( asoc(X2,X3,X4) = asoc(rd(X2,rd(X1,mult(X1,op_c))),X3,X4) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8514.0.0','0.18.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.8514.1.0',plain,
% 209.24/209.63 ( asoc(X2,X3,X4) = asoc(rd(X2,rd(X1,mult(X1,op_c))),X3,X4) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.8514.0.1']),
% 209.24/209.63 [weight('<164,8405,1521,[1,0,0,1]>')]).
% 209.24/209.63 cnf('0.8514.2.0',plain,
% 209.24/209.63 ( asoc(rd(X1,rd(X2,mult(X2,op_c))),X3,X4) = asoc(X1,X3,X4) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.8514.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_8495]).
% 209.24/209.63 cnf('0.8732.0.0',plain,
% 209.24/209.63 ( mult(mult(rd(unit,X1),X2),ld(rd(X3,X1),mult(rd(unit,X1),rd(X3,X1)))) = rd(ld(X1,mult(rd(X2,ld(rd(unit,X1),rd(X3,X1))),X3)),X1) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.4899.2.0','0.1262.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.8732.0.1',plain,
% 209.24/209.63 ( mult(mult(rd(unit,X1),X2),rd(ld(rd(X3,X1),mult(rd(unit,X1),X3)),X1)) = rd(ld(X1,mult(rd(X2,ld(rd(unit,X1),rd(X3,X1))),X3)),X1) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8732.0.0','0.4750.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2','L')]).
% 209.24/209.63 cnf('0.8732.0.2',plain,
% 209.24/209.63 ( rd(ld(X1,mult(X2,ld(rd(X3,X1),mult(rd(unit,X1),X3)))),X1) = rd(ld(X1,mult(rd(X2,ld(rd(unit,X1),rd(X3,X1))),X3)),X1) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8732.0.1','0.1262.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.8732.0.3',plain,
% 209.24/209.63 ( rd(ld(X1,mult(X2,rd(X1,ld(X3,mult(X1,X3))))),X1) = rd(ld(X1,mult(rd(X2,ld(rd(unit,X1),rd(X3,X1))),X3)),X1) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8732.0.2','0.2678.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1.2.2','L')]).
% 209.24/209.63 cnf('0.8732.0.4',plain,
% 209.24/209.63 ( rd(ld(X1,mult(X2,rd(X1,ld(X3,mult(X1,X3))))),X1) = rd(ld(X1,mult(rd(X2,rd(mult(X1,ld(unit,X3)),X1)),X3)),X1) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8732.0.3','0.550.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1.2.1.2','L')]).
% 209.24/209.63 cnf('0.8732.0.5',plain,
% 209.24/209.63 ( rd(ld(X1,mult(X2,rd(X1,ld(X3,mult(X1,X3))))),X1) = rd(ld(X1,mult(rd(X2,rd(mult(X1,X3),X1)),X3)),X1) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8732.0.4','0.14.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1.2.1.2.1.2','L')]).
% 209.24/209.63 cnf('0.8732.0.6',plain,
% 209.24/209.63 ( rd(ld(X1,mult(X2,rd(X1,ld(X3,mult(X1,X3))))),X1) = rd(ld(X1,rd(mult(X2,X1),ld(X3,mult(X1,X3)))),X1) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.8732.0.5','0.4884.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1.2','L')]).
% 209.24/209.63 cnf('0.8732.1.0',plain,
% 209.24/209.63 ( mult(X2,rd(X1,ld(X3,mult(X1,X3)))) = rd(mult(X2,X1),ld(X3,mult(X1,X3))) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.8732.0.6']),
% 209.24/209.63 [weight('<189,4899,1262,[1,0,0,0]>')]).
% 209.24/209.63 cnf('0.8732.2.0',plain,
% 209.24/209.63 ( mult(X1,rd(X2,ld(X3,mult(X2,X3)))) = rd(mult(X1,X2),ld(X3,mult(X2,X3))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.8732.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_8713]).
% 209.24/209.63 cnf('0.9375.0.0',plain,
% 209.24/209.63 ( ld(rd(rd(X1,op_c),X2),rd(X1,X3)) = rd(mult(X2,ld(X1,mult(rd(X1,rd(X3,op_c)),X2))),X2) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.549.2.0','0.6964.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1.2','L')]).
% 209.24/209.63 cnf('0.9375.0.1',plain,
% 209.24/209.63 ( ld(rd(X1,mult(X2,op_c)),rd(X1,X3)) = rd(mult(X2,ld(X1,mult(rd(X1,rd(X3,op_c)),X2))),X2) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.9375.0.0','0.60.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.9375.0.2',plain,
% 209.24/209.63 ( ld(rd(X1,mult(X2,op_c)),rd(X1,X3)) = ld(rd(X1,X2),rd(X1,rd(X3,op_c))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.9375.0.1','0.549.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.9375.1.0',plain,
% 209.24/209.63 ( ld(rd(X1,mult(X2,op_c)),rd(X1,X3)) = ld(rd(X1,X2),rd(X1,rd(X3,op_c))) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.9375.0.2']),
% 209.24/209.63 [weight('<189,6964,549,[0,0,0,3]>')]).
% 209.24/209.63 cnf('0.9375.2.0',plain,
% 209.24/209.63 ( ld(rd(X1,mult(X2,op_c)),rd(X1,X3)) = ld(rd(X1,X2),rd(X1,rd(X3,op_c))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.9375.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_9354]).
% 209.24/209.63 cnf('0.9388.0.0',plain,
% 209.24/209.63 ( mult(X1,rd(X2,ld(mult(X1,ld(X1,X3)),ld(X1,X3)))) = mult(mult(X1,rd(X2,ld(X1,X3))),X3) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.6994.2.0','0.1.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2','L')]).
% 209.24/209.63 cnf('0.9388.0.1',plain,
% 209.24/209.63 ( mult(X1,rd(X2,ld(X3,ld(X1,X3)))) = mult(mult(X1,rd(X2,ld(X1,X3))),X3) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.9388.0.0','0.1.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.2.1','L')]).
% 209.24/209.63 cnf('0.9388.0.2',plain,
% 209.24/209.63 ( mult(X1,rd(X2,ld(X3,ld(X1,X3)))) = mult(mult(X1,X2),ld(X3,mult(X1,X3))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.9388.0.1','0.4899.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.9388.1.0',plain,
% 209.24/209.63 ( mult(X1,rd(X2,ld(X3,ld(X1,X3)))) = mult(mult(X1,X2),ld(X3,mult(X1,X3))) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.9388.0.2']),
% 209.24/209.63 [weight('<189,6994,1,[1,0,0,6]>')]).
% 209.24/209.63 cnf('0.9388.2.0',plain,
% 209.24/209.63 ( mult(mult(X1,X2),ld(X3,mult(X1,X3))) = mult(X1,rd(X2,ld(X3,ld(X1,X3)))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.9388.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_9367]).
% 209.24/209.63 cnf('0.9389.0.0',plain,
% 209.24/209.63 ( mult(mult(X1,rd(X2,ld(X1,X3))),X3) = mult(mult(X1,X2),ld(X3,mult(X1,X3))) ),
% 209.24/209.63 inference(interreduction_right,[status(thm)],['0.4899.2.0'])).
% 209.24/209.63 cnf('0.9389.0.1',plain,
% 209.24/209.63 ( mult(mult(X1,rd(X2,ld(X1,X3))),X3) = mult(X1,rd(X2,ld(X3,ld(X1,X3)))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.9389.0.0','0.9388.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.9389.1.0',plain,
% 209.24/209.63 ( mult(mult(X1,rd(X2,ld(X1,X3))),X3) = mult(X1,rd(X2,ld(X3,ld(X1,X3)))) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.9389.0.1']),
% 209.24/209.63 [weight('<189,4899,9388,[0,0,0,0]>')]).
% 209.24/209.63 cnf('0.9389.2.0',plain,
% 209.24/209.63 ( mult(mult(X1,rd(X2,ld(X1,X3))),X3) = mult(X1,rd(X2,ld(X3,ld(X1,X3)))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.9389.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_9368]).
% 209.24/209.63 cnf('0.9945.0.0',plain,
% 209.24/209.63 ( mult(rd(X1,X2),rd(ld(mult(rd(X1,X2),X2),X3),X2)) = mult(rd(rd(X1,X2),X1),rd(X3,X2)) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.8296.2.0','0.3.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1.2','L')]).
% 209.24/209.63 cnf('0.9945.0.1',plain,
% 209.24/209.63 ( rd(mult(X1,ld(X2,ld(mult(rd(X1,X2),X2),X3))),X2) = mult(rd(rd(X1,X2),X1),rd(X3,X2)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.9945.0.0','0.383.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.9945.0.2',plain,
% 209.24/209.63 ( rd(mult(X1,ld(X2,ld(X1,X3))),X2) = mult(rd(rd(X1,X2),X1),rd(X3,X2)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.9945.0.1','0.3.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1.2.2.1','L')]).
% 209.24/209.63 cnf('0.9945.0.3',plain,
% 209.24/209.63 ( rd(ld(rd(mult(X1,X2),X1),X3),X2) = mult(rd(rd(X1,X2),X1),rd(X3,X2)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.9945.0.2','0.888.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.9945.1.0',plain,
% 209.24/209.63 ( rd(ld(rd(mult(X1,X2),X1),X3),X2) = mult(rd(rd(X1,X2),X1),rd(X3,X2)) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.9945.0.3']),
% 209.24/209.63 [weight('<189,8296,3,[1,0,0,3]>')]).
% 209.24/209.63 cnf('0.9945.2.0',plain,
% 209.24/209.63 ( mult(rd(rd(X1,X2),X1),rd(X3,X2)) = rd(ld(rd(mult(X1,X2),X1),X3),X2) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.9945.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_9922]).
% 209.24/209.63 cnf('0.10587.0.0',plain,
% 209.24/209.63 ( rd(mult(rd(X1,ld(X2,mult(X3,X2))),X3),ld(X2,mult(X3,X2))) = rd(mult(X1,ld(ld(X2,mult(X3,X2)),X3)),ld(X2,mult(X3,X2))) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.8732.2.0','0.383.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.10587.0.1',plain,
% 209.24/209.63 ( rd(mult(rd(X1,X2),ld(X3,mult(X2,X3))),ld(X2,mult(X3,X2))) = rd(mult(X1,ld(ld(X2,mult(X3,X2)),X3)),ld(X2,mult(X3,X2))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.10587.0.0','0.4773.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.10587.0.2',plain,
% 209.24/209.63 ( rd(mult(rd(X1,X2),ld(X3,mult(X2,X3))),ld(X2,mult(X3,X2))) = rd(mult(X1,ld(X2,ld(X3,mult(X2,X3)))),ld(X2,mult(X3,X2))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.10587.0.1','0.798.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1.2','L')]).
% 209.24/209.63 cnf('0.10587.1.0',plain,
% 209.24/209.63 ( mult(rd(X1,X2),ld(X3,mult(X2,X3))) = mult(X1,ld(X2,ld(X3,mult(X2,X3)))) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.10587.0.2']),
% 209.24/209.63 [weight('<189,8732,383,[1,0,0,0]>')]).
% 209.24/209.63 cnf('0.10587.2.0',plain,
% 209.24/209.63 ( mult(rd(X1,X2),ld(X3,mult(X2,X3))) = mult(X1,ld(X2,ld(X3,mult(X2,X3)))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.10587.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_10564]).
% 209.24/209.63 cnf('0.10769.0.0',plain,
% 209.24/209.63 ( mult(X1,ld(mult(rd(X2,mult(X3,op_c)),X1),X2)) = mult(ld(rd(X2,X3),rd(X2,rd(X1,op_c))),X1) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.426.2.0','0.9375.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.10769.0.1',plain,
% 209.24/209.63 ( mult(X1,ld(mult(rd(X2,mult(X3,op_c)),X1),X2)) = mult(X1,ld(mult(rd(X2,X3),X1),mult(X2,op_c))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.10769.0.0','0.4679.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.10769.1.0',plain,
% 209.24/209.63 ( ld(mult(rd(X2,mult(X3,op_c)),X1),X2) = ld(mult(rd(X2,X3),X1),mult(X2,op_c)) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.10769.0.1']),
% 209.24/209.63 [weight('<189,9375,426,[0,0,0,1]>')]).
% 209.24/209.63 cnf('0.10769.2.0',plain,
% 209.24/209.63 ( ld(mult(rd(X1,mult(X2,op_c)),X3),X1) = ld(mult(rd(X1,X2),X3),mult(X1,op_c)) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.10769.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_10746]).
% 209.24/209.63 cnf('0.10775.0.0',plain,
% 209.24/209.63 ( mult(X1,rd(ld(X1,rd(X2,X1)),ld(X3,ld(X1,X3)))) = mult(rd(X2,rd(ld(X1,X3),ld(X1,unit))),X3) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.9389.2.0','0.1532.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.10775.0.1',plain,
% 209.24/209.63 ( rd(X2,rd(ld(X3,ld(X1,X3)),ld(X1,unit))) = mult(rd(X2,rd(ld(X1,X3),ld(X1,unit))),X3) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.10775.0.0','0.1532.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.10775.0.2',plain,
% 209.24/209.63 ( rd(X2,ld(mult(X1,X3),mult(X3,X1))) = mult(rd(X2,rd(ld(X1,X3),ld(X1,unit))),X3) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.10775.0.1','0.1679.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2','L')]).
% 209.24/209.63 cnf('0.10775.0.3',plain,
% 209.24/209.63 ( rd(X2,ld(X3,ld(X1,mult(X3,X1)))) = mult(rd(X2,rd(ld(X1,X3),ld(X1,unit))),X3) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.10775.0.2','0.2057.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2','L')]).
% 209.24/209.63 cnf('0.10775.0.4',plain,
% 209.24/209.63 ( rd(X2,ld(X3,ld(X1,mult(X3,X1)))) = mult(rd(X2,ld(X1,mult(X3,X1))),X3) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.10775.0.3','0.450.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1.2','L')]).
% 209.24/209.63 cnf('0.10775.0.5',plain,
% 209.24/209.63 ( rd(X2,ld(X3,ld(X1,mult(X3,X1)))) = mult(rd(X2,X1),ld(X3,mult(X1,X3))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.10775.0.4','0.4773.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.10775.1.0',plain,
% 209.24/209.63 ( rd(X2,ld(X3,ld(X1,mult(X3,X1)))) = mult(rd(X2,X1),ld(X3,mult(X1,X3))) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.10775.0.5']),
% 209.24/209.63 [weight('<189,9389,1532,[1,0,0,1]>')]).
% 209.24/209.63 cnf('0.10775.1.1',plain,
% 209.24/209.63 ( rd(X2,ld(X3,ld(X1,mult(X3,X1)))) = mult(X2,ld(X1,ld(X3,mult(X1,X3)))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.10775.1.0','0.10587.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.10775.2.0',plain,
% 209.24/209.63 ( mult(X1,ld(X2,ld(X3,mult(X2,X3)))) = rd(X1,ld(X3,ld(X2,mult(X3,X2)))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.10775.1.1',theory(equality)]),
% 209.24/209.63 [x,rule_10752]).
% 209.24/209.63 cnf('0.11067.0.0',plain,
% 209.24/209.63 ( rd(ld(rd(mult(X1,X2),X1),mult(X2,X3)),X2) = rd(mult(mult(rd(rd(X1,X2),X1),X2),X3),X2) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.9945.2.0','0.388.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.11067.0.1',plain,
% 209.24/209.63 ( rd(ld(rd(mult(X1,X2),X1),mult(X2,X3)),X2) = rd(mult(rd(X1,ld(X2,mult(X1,X2))),X3),X2) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.11067.0.0','0.543.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1.1','L')]).
% 209.24/209.63 cnf('0.11067.1.0',plain,
% 209.24/209.63 ( ld(rd(mult(X1,X2),X1),mult(X2,X3)) = mult(rd(X1,ld(X2,mult(X1,X2))),X3) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.11067.0.1']),
% 209.24/209.63 [weight('<189,9945,388,[1,0,0,0]>')]).
% 209.24/209.63 cnf('0.11067.2.0',plain,
% 209.24/209.63 ( mult(rd(X1,ld(X2,mult(X1,X2))),X3) = ld(rd(mult(X1,X2),X1),mult(X2,X3)) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.11067.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_11043]).
% 209.24/209.63 cnf('0.11610.0.0',plain,
% 209.24/209.63 ( mult(X1,rd(ld(X2,mult(X3,X2)),X3)) = rd(rd(mult(X1,X3),ld(X2,ld(X3,mult(X2,X3)))),X3) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.387.2.0','0.10775.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.11610.0.1',plain,
% 209.24/209.63 ( mult(X1,rd(ld(X2,mult(X3,X2)),X3)) = rd(X1,rd(mult(X3,ld(X2,ld(X3,mult(X2,X3)))),X3)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.11610.0.0','0.650.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.11610.0.2',plain,
% 209.24/209.63 ( mult(X1,rd(ld(X2,mult(X3,X2)),X3)) = rd(X1,rd(rd(X3,ld(X3,ld(X2,mult(X3,X2)))),X3)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.11610.0.1','0.10775.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.1','L')]).
% 209.24/209.63 cnf('0.11610.0.3',plain,
% 209.24/209.63 ( mult(X1,rd(ld(X2,mult(X3,X2)),X3)) = rd(X1,rd(rd(X3,X3),rd(ld(X2,mult(X3,X2)),X3))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.11610.0.2','0.640.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2','L')]).
% 209.24/209.63 cnf('0.11610.0.4',plain,
% 209.24/209.63 ( mult(X1,rd(ld(X2,mult(X3,X2)),X3)) = rd(X1,rd(unit,rd(ld(X2,mult(X3,X2)),X3))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.11610.0.3','0.16.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.1','L')]).
% 209.24/209.63 cnf('0.11610.0.5',plain,
% 209.24/209.63 ( mult(X1,rd(ld(X2,mult(X3,X2)),X3)) = rd(X1,rd(X3,ld(X2,mult(X3,X2)))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.11610.0.4','0.2515.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2','L')]).
% 209.24/209.63 cnf('0.11610.1.0',plain,
% 209.24/209.63 ( mult(X1,rd(ld(X2,mult(X3,X2)),X3)) = rd(X1,rd(X3,ld(X2,mult(X3,X2)))) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.11610.0.5']),
% 209.24/209.63 [weight('<189,10775,387,[0,0,0,1]>')]).
% 209.24/209.63 cnf('0.11610.2.0',plain,
% 209.24/209.63 ( mult(X1,rd(ld(X2,mult(X3,X2)),X3)) = rd(X1,rd(X3,ld(X2,mult(X3,X2)))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.11610.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_11583]).
% 209.24/209.63 cnf('0.14146.0.0',plain,
% 209.24/209.63 ( rd(X1,rd(ld(rd(ld(X2,mult(X3,X2)),X3),X1),op_c)) = ld(rd(unit,X1),rd(rd(op_c,X1),rd(X3,ld(X2,mult(X3,X2))))) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.1403.2.0','0.11610.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2','L')]).
% 209.24/209.63 cnf('0.14146.0.1',plain,
% 209.24/209.63 ( rd(X1,rd(ld(rd(ld(X2,mult(X3,X2)),X3),X1),op_c)) = rd(mult(X1,op_c),mult(rd(X3,ld(X2,mult(X3,X2))),X1)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.14146.0.0','0.2517.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.14146.0.2',plain,
% 209.24/209.63 ( rd(X1,rd(ld(rd(ld(X2,mult(X3,X2)),X3),X1),op_c)) = rd(X1,rd(mult(rd(X3,ld(X2,mult(X3,X2))),X1),op_c)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.14146.0.1','0.58.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.14146.0.3',plain,
% 209.24/209.63 ( rd(X1,rd(ld(rd(ld(X2,mult(X3,X2)),X3),X1),op_c)) = rd(X1,rd(ld(rd(mult(X3,X2),X3),mult(X2,X1)),op_c)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.14146.0.2','0.11067.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.1','L')]).
% 209.24/209.63 cnf('0.14146.1.0',plain,
% 209.24/209.63 ( ld(rd(ld(X2,mult(X3,X2)),X3),X1) = ld(rd(mult(X3,X2),X3),mult(X2,X1)) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.14146.0.3']),
% 209.24/209.63 [weight('<189,11610,1403,[0,0,0,4]>')]).
% 209.24/209.63 cnf('0.14146.2.0',plain,
% 209.24/209.63 ( ld(rd(ld(X1,mult(X2,X1)),X2),X3) = ld(rd(mult(X2,X1),X2),mult(X1,X3)) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.14146.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_14114]).
% 209.24/209.63 cnf('0.14967.0.0',plain,
% 209.24/209.63 ( ld(ld(ld(X1,mult(X2,X1)),mult(X3,X2)),unit) = ld(X2,ld(ld(rd(mult(X2,X1),X2),mult(X1,X3)),X2)) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.1469.2.0','0.14146.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.1','L')]).
% 209.24/209.63 cnf('0.14967.0.1',plain,
% 209.24/209.63 ( ld(ld(X1,ld(X2,mult(X1,mult(X3,X2)))),unit) = ld(X2,ld(ld(rd(mult(X2,X1),X2),mult(X1,X3)),X2)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.14967.0.0','0.798.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.14967.0.2',plain,
% 209.24/209.63 ( ld(ld(X1,ld(X2,mult(X1,mult(X3,X2)))),unit) = ld(ld(mult(X2,X1),mult(mult(X1,X3),X2)),unit) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.14967.0.1','0.1469.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.14967.1.0',plain,
% 209.24/209.63 ( ld(X1,ld(X2,mult(X1,mult(X3,X2)))) = ld(mult(X2,X1),mult(mult(X1,X3),X2)) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.14967.0.2']),
% 209.24/209.63 [weight('<189,14146,1469,[0,0,0,3]>')]).
% 209.24/209.63 cnf('0.14967.2.0',plain,
% 209.24/209.63 ( ld(mult(X1,X2),mult(mult(X2,X3),X1)) = ld(X2,ld(X1,mult(X2,mult(X3,X1)))) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.14967.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_14926]).
% 209.24/209.63 cnf('0.15864.0.0',plain,
% 209.24/209.63 ( asoc(mult(X1,rd(X2,X3)),X3,X4) = ld(mult(mult(X1,rd(X2,X3)),mult(X3,X4)),mult(mult(mult(X1,X3),ld(X3,X2)),X4)) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.12.2.0','0.148.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.1','L')]).
% 209.24/209.63 cnf('0.15864.1.0',plain,
% 209.24/209.63 ( asoc(mult(X1,rd(X2,X3)),X3,X4) = ld(mult(mult(X1,rd(X2,X3)),mult(X3,X4)),mult(mult(mult(X1,X3),ld(X3,X2)),X4)) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.15864.0.0']),
% 209.24/209.63 [weight('<?,148,12,[0,0,0,7]>')]).
% 209.24/209.63 cnf('0.15864.2.0',plain,
% 209.24/209.63 ( ld(mult(mult(X1,rd(X2,X3)),mult(X3,X4)),mult(mult(mult(X1,X3),ld(X3,X2)),X4)) = asoc(mult(X1,rd(X2,X3)),X3,X4) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.15864.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_15819]).
% 209.24/209.63 cnf('0.15865.0.0',plain,
% 209.24/209.63 ( asoc(mult(X1,rd(rd(X2,X3),rd(X2,mult(X3,op_c)))),rd(X2,mult(X3,op_c)),X4) = ld(mult(mult(X1,rd(X2,rd(X2,op_c))),mult(rd(X2,mult(X3,op_c)),X4)),mult(mult(mult(X1,rd(X2,mult(X3,op_c))),ld(rd(X2,mult(X3,op_c)),rd(X2,X3))),X4)) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.15864.2.0','0.905.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1.1.2','L')]).
% 209.24/209.63 cnf('0.15865.0.1',plain,
% 209.24/209.63 ( asoc(mult(X1,rd(X2,rd(X2,op_c))),rd(X2,mult(X3,op_c)),X4) = ld(mult(mult(X1,rd(X2,rd(X2,op_c))),mult(rd(X2,mult(X3,op_c)),X4)),mult(mult(mult(X1,rd(X2,mult(X3,op_c))),ld(rd(X2,mult(X3,op_c)),rd(X2,X3))),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.0','0.905.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1.2','L')]).
% 209.24/209.63 cnf('0.15865.0.2',plain,
% 209.24/209.63 ( asoc(rd(X1,rd(X2,mult(X2,op_c))),rd(X2,mult(X3,op_c)),X4) = ld(mult(mult(X1,rd(X2,rd(X2,op_c))),mult(rd(X2,mult(X3,op_c)),X4)),mult(mult(mult(X1,rd(X2,mult(X3,op_c))),ld(rd(X2,mult(X3,op_c)),rd(X2,X3))),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.1','0.501.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('0.15865.0.3',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(mult(X1,rd(X2,rd(X2,op_c))),mult(rd(X2,mult(X3,op_c)),X4)),mult(mult(mult(X1,rd(X2,mult(X3,op_c))),ld(rd(X2,mult(X3,op_c)),rd(X2,X3))),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.2','0.8514.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.15865.0.4',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(rd(X1,rd(X2,mult(X2,op_c))),mult(rd(X2,mult(X3,op_c)),X4)),mult(mult(mult(X1,rd(X2,mult(X3,op_c))),ld(rd(X2,mult(X3,op_c)),rd(X2,X3))),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.3','0.501.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1.1','L')]).
% 209.24/209.63 cnf('0.15865.0.5',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(X1,rd(X2,rd(ld(mult(rd(X2,mult(X3,op_c)),X4),X2),op_c))),mult(mult(mult(X1,rd(X2,mult(X3,op_c))),ld(rd(X2,mult(X3,op_c)),rd(X2,X3))),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.4','0.8277.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1','L')]).
% 209.24/209.63 cnf('0.15865.0.6',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(X1,rd(X2,rd(ld(mult(rd(X2,X3),X4),mult(X2,op_c)),op_c))),mult(mult(mult(X1,rd(X2,mult(X3,op_c))),ld(rd(X2,mult(X3,op_c)),rd(X2,X3))),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.5','0.10769.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1.2.2.1','L')]).
% 209.24/209.63 cnf('0.15865.0.7',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(X1,rd(X2,rd(ld(mult(rd(X2,X3),X4),X2),rd(op_c,op_c)))),mult(mult(mult(X1,rd(X2,mult(X3,op_c))),ld(rd(X2,mult(X3,op_c)),rd(X2,X3))),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.6','0.156.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1.2.2','L')]).
% 209.24/209.63 cnf('0.15865.0.8',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(X1,rd(X2,rd(ld(mult(rd(X2,X3),X4),X2),unit))),mult(mult(mult(X1,rd(X2,mult(X3,op_c))),ld(rd(X2,mult(X3,op_c)),rd(X2,X3))),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.7','0.16.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1.2.2.2','L')]).
% 209.24/209.63 cnf('0.15865.0.9',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(X1,rd(X2,ld(mult(rd(X2,X3),X4),X2))),mult(mult(mult(X1,rd(X2,mult(X3,op_c))),ld(rd(X2,mult(X3,op_c)),rd(X2,X3))),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.8','0.13.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1.2.2','L')]).
% 209.24/209.63 cnf('0.15865.0.10',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(X1,mult(rd(X2,X3),X4)),mult(mult(mult(X1,rd(X2,mult(X3,op_c))),ld(rd(X2,mult(X3,op_c)),rd(X2,X3))),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.9','0.19.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1.2','L')]).
% 209.24/209.63 cnf('0.15865.0.11',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(X1,mult(rd(X2,X3),X4)),mult(mult(mult(X1,rd(X2,mult(X3,op_c))),rd(mult(X3,ld(rd(X2,op_c),X2)),X3)),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.10','0.4808.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.1.2','L')]).
% 209.24/209.63 cnf('0.15865.0.12',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(X1,mult(rd(X2,X3),X4)),mult(rd(mult(mult(mult(X1,rd(X2,mult(X3,op_c))),X3),ld(rd(X2,op_c),X2)),X3),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.11','0.388.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.1','L')]).
% 209.24/209.63 cnf('0.15865.0.13',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(X1,mult(rd(X2,X3),X4)),mult(rd(mult(mult(mult(X1,X3),rd(ld(X3,X2),op_c)),ld(rd(X2,op_c),X2)),X3),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.12','0.6305.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.1.1.1','L')]).
% 209.24/209.63 cnf('0.15865.0.14',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(X1,mult(rd(X2,X3),X4)),mult(rd(mult(rd(mult(mult(X1,X3),ld(X3,X2)),op_c),ld(rd(X2,op_c),X2)),X3),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.13','0.26.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.1.1.1','L')]).
% 209.24/209.63 cnf('0.15865.0.15',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(X1,mult(rd(X2,X3),X4)),mult(rd(mult(mult(mult(X1,X3),ld(X3,X2)),ld(op_c,ld(rd(X2,op_c),X2))),X3),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.14','0.30.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.1.1','L')]).
% 209.24/209.63 cnf('0.15865.0.16',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(X1,mult(rd(X2,X3),X4)),mult(rd(mult(mult(mult(X1,X3),ld(X3,X2)),ld(X2,X2)),X3),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.15','0.89.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.1.1.2','L')]).
% 209.24/209.63 cnf('0.15865.0.17',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(X1,mult(rd(X2,X3),X4)),mult(rd(mult(mult(mult(X1,X3),ld(X3,X2)),unit),X3),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.16','0.15.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.1.1.2','L')]).
% 209.24/209.63 cnf('0.15865.0.18',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(X1,mult(rd(X2,X3),X4)),mult(rd(mult(mult(X1,X3),ld(X3,X2)),X3),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.17','0.2.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.1.1','L')]).
% 209.24/209.63 cnf('0.15865.0.19',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = ld(mult(X1,mult(rd(X2,X3),X4)),mult(mult(X1,rd(X2,X3)),X4)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.18','0.387.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2.1','L')]).
% 209.24/209.63 cnf('0.15865.0.20',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = asoc(X1,rd(X2,X3),X4) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15865.0.19','0.12.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.15865.1.0',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = asoc(X1,rd(X2,X3),X4) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.15865.0.20']),
% 209.24/209.63 [weight('<134,15864,905,[1,0,0,4]>')]).
% 209.24/209.63 cnf('0.15865.2.0',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,mult(X3,op_c)),X4) = asoc(X1,rd(X2,X3),X4) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.15865.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_15820]).
% 209.24/209.63 cnf('0.15866.0.0',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,rd(X3,op_c)),X4) = asoc(X1,rd(X2,X3),X4) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.15865.2.0','0.3.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.2.2','L')]).
% 209.24/209.63 cnf('0.15866.1.0',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,rd(X3,op_c)),X4) = asoc(X1,rd(X2,X3),X4) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.15866.0.0']),
% 209.24/209.63 [weight('<134,15865,3,[1,0,0,4]>')]).
% 209.24/209.63 cnf('0.15866.2.0',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,rd(X3,op_c)),X4) = asoc(X1,rd(X2,X3),X4) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.15866.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_15821]).
% 209.24/209.63 cnf('0.15867.0.0',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,rd(X3,op_c)),X3) = asoc(X1,X3,ld(X3,mult(X2,op_c))) ),
% 209.24/209.63 inference(interreduction_right,[status(thm)],['0.1015.2.0'])).
% 209.24/209.63 cnf('0.15867.0.1',plain,
% 209.24/209.63 ( asoc(X1,rd(X2,X3),X3) = asoc(X1,X3,ld(X3,mult(X2,op_c))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15867.0.0','0.15866.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.15867.0.2',plain,
% 209.24/209.63 ( asoc(X1,X3,ld(X3,X2)) = asoc(X1,X3,ld(X3,mult(X2,op_c))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15867.0.1','0.139.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.15867.1.0',plain,
% 209.24/209.63 ( asoc(X1,X3,ld(X3,X2)) = asoc(X1,X3,ld(X3,mult(X2,op_c))) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.15867.0.2']),
% 209.24/209.63 [weight('<134,1015,15866,[0,0,0,0]>')]).
% 209.24/209.63 cnf('0.15867.2.0',plain,
% 209.24/209.63 ( asoc(X1,X2,ld(X2,mult(X3,op_c))) = asoc(X1,X2,ld(X2,X3)) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.15867.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_15822]).
% 209.24/209.63 cnf('0.15868.0.0',plain,
% 209.24/209.63 ( asoc(X1,mult(op_c,X2),ld(mult(op_c,X2),mult(X2,X3))) = asoc(X1,mult(op_c,X2),ld(X2,ld(op_c,mult(X2,mult(X3,op_c))))) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.15867.2.0','0.14967.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.3','L')]).
% 209.24/209.63 cnf('0.15868.0.1',plain,
% 209.24/209.63 ( asoc(X1,X2,ld(mult(op_c,X2),mult(X2,X3))) = asoc(X1,mult(op_c,X2),ld(X2,ld(op_c,mult(X2,mult(X3,op_c))))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15868.0.0','0.8320.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.15868.0.2',plain,
% 209.24/209.63 ( asoc(X1,X2,ld(X2,ld(op_c,mult(X2,X3)))) = asoc(X1,mult(op_c,X2),ld(X2,ld(op_c,mult(X2,mult(X3,op_c))))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15868.0.1','0.84.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.3','L')]).
% 209.24/209.63 cnf('0.15868.0.3',plain,
% 209.24/209.63 ( asoc(X1,X2,ld(X2,mult(X2,X3))) = asoc(X1,mult(op_c,X2),ld(X2,ld(op_c,mult(X2,mult(X3,op_c))))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15868.0.2','0.8331.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('0.15868.0.4',plain,
% 209.24/209.63 ( asoc(X1,X2,X3) = asoc(X1,mult(op_c,X2),ld(X2,ld(op_c,mult(X2,mult(X3,op_c))))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15868.0.3','0.5.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.3','L')]).
% 209.24/209.63 cnf('0.15868.0.5',plain,
% 209.24/209.63 ( asoc(X1,X2,X3) = asoc(X1,X2,ld(X2,ld(op_c,mult(X2,mult(X3,op_c))))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15868.0.4','0.8320.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.15868.0.6',plain,
% 209.24/209.63 ( asoc(X1,X2,X3) = asoc(X1,X2,ld(X2,mult(X2,mult(X3,op_c)))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15868.0.5','0.8331.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('0.15868.0.7',plain,
% 209.24/209.63 ( asoc(X1,X2,X3) = asoc(X1,X2,mult(X3,op_c)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['0.15868.0.6','0.5.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.3','L')]).
% 209.24/209.63 cnf('0.15868.1.0',plain,
% 209.24/209.63 ( asoc(X1,X2,X3) = asoc(X1,X2,mult(X3,op_c)) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.15868.0.7']),
% 209.24/209.63 [weight('<76,15867,14967,[1,0,0,3]>')]).
% 209.24/209.63 cnf('0.15868.2.0',plain,
% 209.24/209.63 ( asoc(X1,X2,mult(X3,op_c)) = asoc(X1,X2,X3) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.15868.1.0',theory(equality)]),
% 209.24/209.63 [x,rule_15823]).
% 209.24/209.63 cnf('0.15869.0.0',plain,
% 209.24/209.63 ( asoc(X1,X2,rd(X3,op_c)) = asoc(X1,X2,X3) ),
% 209.24/209.63 inference(cp,[status(thm)],['0.15868.2.0','0.3.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.3','L')]).
% 209.24/209.63 cnf('0.15869.1.0',plain,
% 209.24/209.63 ( asoc(X1,X2,rd(X3,op_c)) = asoc(X1,X2,X3) ),
% 209.24/209.63 inference(weigh,[status(thm)],['0.15869.0.0']),
% 209.24/209.63 [weight('<76,15868,3,[1,0,0,3]>')]).
% 209.24/209.63 cnf('0.15869.2.0',plain,
% 209.24/209.63 ( asoc(X1,X2,rd(X3,op_c)) = asoc(X1,X2,X3) ),
% 209.24/209.63 inference(orient,[status(thm)],['0.15869.1.0',theory(equality)]),
% 209.24/209.63 [u,rule_15824]).
% 209.24/209.63 cnf('1.0.0.0',conjecture,
% 209.24/209.63 ( mult(op_c,asoc(a,b,c)) = mult(asoc(a,b,c),op_c) ),
% 209.24/209.63 file('/tmp/WALDMEISTER_3923_n012',conjecture_1)).
% 209.24/209.63 cnf('1.0.0.1',plain,
% 209.24/209.63 ( mult(rd(unit,rd(unit,op_c)),asoc(a,b,c)) = mult(asoc(a,b,c),op_c) ),
% 209.24/209.63 inference(reduction,[status(thm)],['1.0.0.0','0.33.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','R')]).
% 209.24/209.63 cnf('1.0.0.2',plain,
% 209.24/209.63 ( mult(rd(unit,rd(unit,op_c)),asoc(a,b,c)) = mult(asoc(a,b,c),rd(unit,rd(unit,op_c))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['1.0.0.1','0.33.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.2','R')]).
% 209.24/209.63 cnf('1.0.0.3',plain,
% 209.24/209.63 ( mult(rd(unit,ld(mult(op_c,op_c),op_c)),asoc(a,b,c)) = mult(asoc(a,b,c),rd(unit,rd(unit,op_c))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['1.0.0.2','0.42.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1.2','R')]).
% 209.24/209.63 cnf('1.0.0.4',plain,
% 209.24/209.63 ( mult(rd(unit,ld(op_c,ld(op_c,op_c))),asoc(a,b,c)) = mult(asoc(a,b,c),rd(unit,rd(unit,op_c))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['1.0.0.3','0.81.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1.2','L')]).
% 209.24/209.63 cnf('1.0.0.5',plain,
% 209.24/209.63 ( mult(rd(unit,ld(op_c,op_c)),mult(op_c,asoc(a,b,c))) = mult(asoc(a,b,c),rd(unit,rd(unit,op_c))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['1.0.0.4','0.162.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('1.0.0.6',plain,
% 209.24/209.63 ( mult(rd(unit,op_c),mult(op_c,mult(op_c,asoc(a,b,c)))) = mult(asoc(a,b,c),rd(unit,rd(unit,op_c))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['1.0.0.5','0.162.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('1.0.0.7',plain,
% 209.24/209.63 ( mult(op_c,mult(ld(op_c,unit),mult(op_c,asoc(a,b,c)))) = mult(asoc(a,b,c),rd(unit,rd(unit,op_c))) ),
% 209.24/209.63 inference(reduction,[status(thm)],['1.0.0.6','0.108.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('1.0.0.8',plain,
% 209.24/209.63 ( mult(op_c,mult(ld(op_c,unit),mult(op_c,asoc(a,b,c)))) = rd(mult(asoc(a,b,c),unit),rd(unit,op_c)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['1.0.0.7','0.389.2.0',theory(equality)]),
% 209.24/209.63 [pos('R','L')]).
% 209.24/209.63 cnf('1.0.0.9',plain,
% 209.24/209.63 ( mult(op_c,mult(ld(op_c,unit),mult(op_c,asoc(a,b,c)))) = rd(asoc(a,b,c),rd(unit,op_c)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['1.0.0.8','0.2.2.0',theory(equality)]),
% 209.24/209.63 [pos('R.1','L')]).
% 209.24/209.63 cnf('1.0.0.10',plain,
% 209.24/209.63 ( rd(rd(mult(op_c,asoc(a,b,c)),op_c),rd(unit,op_c)) = rd(asoc(a,b,c),rd(unit,op_c)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['1.0.0.9','0.477.2.0',theory(equality)]),
% 209.24/209.63 [pos('L','L')]).
% 209.24/209.63 cnf('1.0.0.11',plain,
% 209.24/209.63 ( rd(asoc(a,b,rd(c,op_c)),rd(unit,op_c)) = rd(asoc(a,b,c),rd(unit,op_c)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['1.0.0.10','0.2133.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('1.0.0.12',plain,
% 209.24/209.63 ( rd(asoc(a,b,c),rd(unit,op_c)) = rd(asoc(a,b,c),rd(unit,op_c)) ),
% 209.24/209.63 inference(reduction,[status(thm)],['1.0.0.11','0.15869.2.0',theory(equality)]),
% 209.24/209.63 [pos('L.1','L')]).
% 209.24/209.63 cnf('1.0.0.13',plain,
% 209.24/209.63 ( $true ),
% 209.24/209.63 inference(trivial,[status(thm)],['1.0.0.12',theory(equality)]),
% 209.24/209.63 [conjecture_1]).
% 209.24/209.63
% 209.24/209.63 Proved Goals:
% 209.24/209.63 No. 1: mult(op_c,asoc(a,b,c)) ?= mult(asoc(a,b,c),op_c) joined, current: rd(asoc(a,b,c),rd(unit,op_c)) = rd(asoc(a,b,c),rd(unit,op_c))
% 209.24/209.63 1 goal was specified, which was proved.
% 209.24/209.63 % SZS output end CNFRefutation
% 209.24/209.63 #END OF PROOF
% 209.24/209.63
% 209.24/209.63 Problem WALDMEISTER_3923_n012
% 209.24/209.63 CPs.gen 29098136
% 209.24/209.63 CPs.reexp 0
% 209.24/209.63 Select 302650
% 209.24/209.63 R 15824
% 209.24/209.63 E 45
% 209.24/209.63 vsize 18.0M
% 209.24/209.63 rss 13.3M
% 209.24/209.63 process.time 208.594s
% 209.24/209.63 wallclock.time 208.637s
% 209.24/209.63 status S
% 209.24/209.63
% 209.24/209.63
% 209.24/209.63 Waldmeister states: Goal proved.
% 209.24/209.63 % SZS status Unsatisfiable
%------------------------------------------------------------------------------