TSTP Solution File: GRP754-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP754-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 12:28:24 EDT 2022
% Result : Unsatisfiable 18.43s 18.81s
% Output : CNFRefutation 18.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP754-1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : woody %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 09:44:09 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.66/1.05 ********************************************************************************
% 0.66/1.05 * W A L D M E I S T E R \| \ / \|/ *
% 0.66/1.05 * |/ | \/ | *
% 0.66/1.05 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.66/1.05 * A. Jaeger and B. Loechner | | *
% 0.66/1.05 * <waldmeister@informatik.uni-kl.de> | *
% 0.66/1.05 ********************************************************************************
% 0.66/1.05
% 0.66/1.05
% 0.66/1.05 Goals:
% 0.66/1.05 ------
% 0.66/1.05
% 0.66/1.05 ( 1) mult(mult(a,b),mult(a,c)) ?=? mult(mult(a,a),mult(b,c))
% 0.66/1.05
% 0.66/1.05 Detected structure: Quasigruppe
% 0.66/1.05 ********************************************************************************
% 0.66/1.05 ****************************** COMPLETION - PROOF ******************************
% 0.66/1.05 ********************************************************************************
% 0.66/1.05
% 18.43/18.81 joined goal: 1 mult(mult(a,b),mult(a,c)) ?= mult(mult(a,a),mult(b,c)) to mult(mult(a,a),mult(b,c))
% 18.43/18.81 goal joined
% 18.43/18.81 % SZS status Unsatisfiable
% 18.43/18.81 #START OF PROOF
% 18.43/18.81 % SZS output start CNFRefutation
% 18.43/18.81 cnf('0.1.0.0',axiom,
% 18.43/18.81 ( X1 = mult(X2,ld(X2,X1)) ),
% 18.43/18.81 file('/tmp/WALDMEISTER_10647_n025')).
% 18.43/18.81 cnf('0.1.1.0',plain,
% 18.43/18.81 ( X1 = mult(X2,ld(X2,X1)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.1.0.0']),
% 18.43/18.81 [weight('<0,0,0,[0,0,0,1]>')]).
% 18.43/18.81 cnf('0.1.2.0',plain,
% 18.43/18.81 ( mult(X1,ld(X1,X2)) = X2 ),
% 18.43/18.81 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_1]).
% 18.43/18.81 cnf('0.2.0.0',axiom,
% 18.43/18.81 ( X1 = mult(rd(X1,X2),X2) ),
% 18.43/18.81 file('/tmp/WALDMEISTER_10647_n025')).
% 18.43/18.81 cnf('0.2.1.0',plain,
% 18.43/18.81 ( X1 = mult(rd(X1,X2),X2) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.2.0.0']),
% 18.43/18.81 [weight('<1,0,0,[0,0,0,2]>')]).
% 18.43/18.81 cnf('0.2.2.0',plain,
% 18.43/18.81 ( mult(rd(X1,X2),X2) = X1 ),
% 18.43/18.81 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_2]).
% 18.43/18.81 cnf('0.3.0.0',axiom,
% 18.43/18.81 ( X1 = rd(mult(X1,X2),X2) ),
% 18.43/18.81 file('/tmp/WALDMEISTER_10647_n025')).
% 18.43/18.81 cnf('0.3.1.0',plain,
% 18.43/18.81 ( X1 = rd(mult(X1,X2),X2) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.3.0.0']),
% 18.43/18.81 [weight('<2,0,0,[0,0,0,3]>')]).
% 18.43/18.81 cnf('0.3.2.0',plain,
% 18.43/18.81 ( rd(mult(X1,X2),X2) = X1 ),
% 18.43/18.81 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_3]).
% 18.43/18.81 cnf('0.4.0.0',axiom,
% 18.43/18.81 ( X1 = ld(X2,mult(X2,X1)) ),
% 18.43/18.81 file('/tmp/WALDMEISTER_10647_n025')).
% 18.43/18.81 cnf('0.4.1.0',plain,
% 18.43/18.81 ( X1 = ld(X2,mult(X2,X1)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.4.0.0']),
% 18.43/18.81 [weight('<3,0,0,[0,0,0,4]>')]).
% 18.43/18.81 cnf('0.4.2.0',plain,
% 18.43/18.81 ( ld(X1,mult(X1,X2)) = X2 ),
% 18.43/18.81 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_4]).
% 18.43/18.81 cnf('0.5.0.0',axiom,
% 18.43/18.81 ( mult(X1,mult(X2,X3)) = mult(mult(rd(X1,X1),X2),mult(X1,X3)) ),
% 18.43/18.81 file('/tmp/WALDMEISTER_10647_n025')).
% 18.43/18.81 cnf('0.5.1.0',plain,
% 18.43/18.81 ( mult(X1,mult(X2,X3)) = mult(mult(rd(X1,X1),X2),mult(X1,X3)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.5.0.0']),
% 18.43/18.81 [weight('<4,0,0,[0,0,0,5]>')]).
% 18.43/18.81 cnf('0.5.2.0',plain,
% 18.43/18.81 ( mult(mult(rd(X1,X1),X2),mult(X1,X3)) = mult(X1,mult(X2,X3)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_5]).
% 18.43/18.81 cnf('0.6.0.0',axiom,
% 18.43/18.81 ( mult(mult(X1,X2),X3) = mult(mult(X1,X3),mult(X2,ld(X3,X3))) ),
% 18.43/18.81 file('/tmp/WALDMEISTER_10647_n025')).
% 18.43/18.81 cnf('0.6.1.0',plain,
% 18.43/18.81 ( mult(mult(X1,X2),X3) = mult(mult(X1,X3),mult(X2,ld(X3,X3))) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.6.0.0']),
% 18.43/18.81 [weight('<5,0,0,[0,0,0,6]>')]).
% 18.43/18.81 cnf('0.6.2.0',plain,
% 18.43/18.81 ( mult(mult(X1,X2),mult(X3,ld(X2,X2))) = mult(mult(X1,X3),X2) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_6]).
% 18.43/18.81 cnf('0.7.0.0',plain,
% 18.43/18.81 ( X1 = rd(X2,ld(X1,X2)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1','L')]).
% 18.43/18.81 cnf('0.7.1.0',plain,
% 18.43/18.81 ( X1 = rd(X2,ld(X1,X2)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.7.0.0']),
% 18.43/18.81 [weight('<41,3,1,[1,0,0,1]>')]).
% 18.43/18.81 cnf('0.7.2.0',plain,
% 18.43/18.81 ( rd(X1,ld(X2,X1)) = X2 ),
% 18.43/18.81 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_7]).
% 18.43/18.81 cnf('0.8.0.0',plain,
% 18.43/18.81 ( X1 = ld(rd(X2,X1),X2) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2','L')]).
% 18.43/18.81 cnf('0.8.1.0',plain,
% 18.43/18.81 ( X1 = ld(rd(X2,X1),X2) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.8.0.0']),
% 18.43/18.81 [weight('<41,4,2,[1,0,0,2]>')]).
% 18.43/18.81 cnf('0.8.2.0',plain,
% 18.43/18.81 ( ld(rd(X1,X2),X1) = X2 ),
% 18.43/18.81 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_8]).
% 18.43/18.81 cnf('0.9.0.0',plain,
% 18.43/18.81 ( mult(X1,mult(X2,ld(X1,X3))) = mult(mult(rd(X1,X1),X2),X3) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2','L')]).
% 18.43/18.81 cnf('0.9.1.0',plain,
% 18.43/18.81 ( mult(X1,mult(X2,ld(X1,X3))) = mult(mult(rd(X1,X1),X2),X3) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.9.0.0']),
% 18.43/18.81 [weight('<119,5,1,[1,0,0,6]>')]).
% 18.43/18.81 cnf('0.9.2.0',plain,
% 18.43/18.81 ( mult(mult(rd(X1,X1),X2),X3) = mult(X1,mult(X2,ld(X1,X3))) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_9]).
% 18.43/18.81 cnf('0.10.0.0',plain,
% 18.43/18.81 ( mult(mult(rd(X1,X2),X3),X2) = mult(X1,mult(X3,ld(X2,X2))) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1','L')]).
% 18.43/18.81 cnf('0.10.1.0',plain,
% 18.43/18.81 ( mult(mult(rd(X1,X2),X3),X2) = mult(X1,mult(X3,ld(X2,X2))) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.10.0.0']),
% 18.43/18.81 [weight('<119,6,2,[1,0,0,1]>')]).
% 18.43/18.81 cnf('0.10.2.0',plain,
% 18.43/18.81 ( mult(mult(rd(X1,X2),X3),X2) = mult(X1,mult(X3,ld(X2,X2))) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 18.43/18.81 [u,rule_10]).
% 18.43/18.81 cnf('0.11.0.0',plain,
% 18.43/18.81 ( mult(mult(X1,rd(X2,ld(X3,X3))),X3) = mult(mult(X1,X3),X2) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2','L')]).
% 18.43/18.81 cnf('0.11.1.0',plain,
% 18.43/18.81 ( mult(mult(X1,rd(X2,ld(X3,X3))),X3) = mult(mult(X1,X3),X2) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.11.0.0']),
% 18.43/18.81 [weight('<149,6,2,[1,0,0,4]>')]).
% 18.43/18.81 cnf('0.11.2.0',plain,
% 18.43/18.81 ( mult(mult(X1,rd(X2,ld(X3,X3))),X3) = mult(mult(X1,X3),X2) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 18.43/18.81 [u,rule_11]).
% 18.43/18.81 cnf('0.12.0.0',plain,
% 18.43/18.81 ( mult(X1,rd(X2,ld(X3,X3))) = rd(mult(mult(X1,X3),X2),X3) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.3.2.0','0.11.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1','L')]).
% 18.43/18.81 cnf('0.12.1.0',plain,
% 18.43/18.81 ( mult(X1,rd(X2,ld(X3,X3))) = rd(mult(mult(X1,X3),X2),X3) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.12.0.0']),
% 18.43/18.81 [weight('<119,11,3,[0,0,0,1]>')]).
% 18.43/18.81 cnf('0.12.2.0',plain,
% 18.43/18.81 ( mult(X1,rd(X2,ld(X3,X3))) = rd(mult(mult(X1,X3),X2),X3) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 18.43/18.81 [u,rule_12]).
% 18.43/18.81 cnf('0.13.0.0',plain,
% 18.43/18.81 ( mult(X1,ld(X2,X2)) = ld(mult(X3,X2),mult(mult(X3,X1),X2)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.4.2.0','0.6.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2','L')]).
% 18.43/18.81 cnf('0.13.1.0',plain,
% 18.43/18.81 ( mult(X1,ld(X2,X2)) = ld(mult(X3,X2),mult(mult(X3,X1),X2)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.13.0.0']),
% 18.43/18.81 [weight('<149,6,4,[0,0,0,2]>')]).
% 18.43/18.81 cnf('0.13.2.0',plain,
% 18.43/18.81 ( ld(mult(X1,X2),mult(mult(X1,X3),X2)) = mult(X3,ld(X2,X2)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_13]).
% 18.43/18.81 cnf('0.15.0.0',plain,
% 18.43/18.81 ( mult(rd(X1,X1),X2) = rd(mult(X1,mult(X2,ld(X1,X3))),X3) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.3.2.0','0.9.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1','L')]).
% 18.43/18.81 cnf('0.15.1.0',plain,
% 18.43/18.81 ( mult(rd(X1,X1),X2) = rd(mult(X1,mult(X2,ld(X1,X3))),X3) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.15.0.0']),
% 18.43/18.81 [weight('<149,9,3,[0,0,0,1]>')]).
% 18.43/18.81 cnf('0.15.2.0',plain,
% 18.43/18.81 ( rd(mult(X1,mult(X2,ld(X1,X3))),X3) = mult(rd(X1,X1),X2) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_15]).
% 18.43/18.81 cnf('0.16.0.0',plain,
% 18.43/18.81 ( mult(X1,mult(X2,ld(X1,mult(X3,ld(X2,X2))))) = mult(mult(rd(X1,X1),X3),X2) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.9.2.0','0.6.2.0',theory(equality)]),
% 18.43/18.81 [pos('L','L')]).
% 18.43/18.81 cnf('0.16.0.1',plain,
% 18.43/18.81 ( mult(X1,mult(X2,ld(X1,mult(X3,ld(X2,X2))))) = mult(X1,mult(X3,ld(X1,X2))) ),
% 18.43/18.81 inference(reduction,[status(thm)],['0.16.0.0','0.9.2.0',theory(equality)]),
% 18.43/18.81 [pos('R','L')]).
% 18.43/18.81 cnf('0.16.1.0',plain,
% 18.43/18.81 ( mult(X2,ld(X1,mult(X3,ld(X2,X2)))) = mult(X3,ld(X1,X2)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.16.0.1']),
% 18.43/18.81 [weight('<149,9,6,[1,0,0,0]>')]).
% 18.43/18.81 cnf('0.16.2.0',plain,
% 18.43/18.81 ( mult(X1,ld(X2,mult(X3,ld(X1,X1)))) = mult(X3,ld(X2,X1)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 18.43/18.81 [u,rule_16]).
% 18.43/18.81 cnf('0.17.0.0',plain,
% 18.43/18.81 ( mult(rd(X1,X2),X3) = rd(mult(X1,mult(X3,ld(X2,X2))),X2) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.3.2.0','0.10.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1','L')]).
% 18.43/18.81 cnf('0.17.1.0',plain,
% 18.43/18.81 ( mult(rd(X1,X2),X3) = rd(mult(X1,mult(X3,ld(X2,X2))),X2) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.17.0.0']),
% 18.43/18.81 [weight('<149,10,3,[0,0,0,1]>')]).
% 18.43/18.81 cnf('0.17.2.0',plain,
% 18.43/18.81 ( rd(mult(X1,mult(X2,ld(X3,X3))),X3) = mult(rd(X1,X3),X2) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_17]).
% 18.43/18.81 cnf('0.18.0.0',plain,
% 18.43/18.81 ( rd(X1,ld(X2,X2)) = ld(X3,rd(mult(mult(X3,X2),X1),X2)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.4.2.0','0.12.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2','L')]).
% 18.43/18.81 cnf('0.18.1.0',plain,
% 18.43/18.81 ( rd(X1,ld(X2,X2)) = ld(X3,rd(mult(mult(X3,X2),X1),X2)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.18.0.0']),
% 18.43/18.81 [weight('<149,12,4,[0,0,0,2]>')]).
% 18.43/18.81 cnf('0.18.2.0',plain,
% 18.43/18.81 ( ld(X1,rd(mult(mult(X1,X2),X3),X2)) = rd(X3,ld(X2,X2)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_18]).
% 18.43/18.81 cnf('0.19.0.0',plain,
% 18.43/18.81 ( mult(X1,ld(X2,X2)) = ld(mult(rd(X3,X1),X2),mult(X3,X2)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.13.2.0','0.2.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2.1','L')]).
% 18.43/18.81 cnf('0.19.1.0',plain,
% 18.43/18.81 ( mult(X1,ld(X2,X2)) = ld(mult(rd(X3,X1),X2),mult(X3,X2)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.19.0.0']),
% 18.43/18.81 [weight('<149,13,2,[1,0,0,5]>')]).
% 18.43/18.81 cnf('0.19.2.0',plain,
% 18.43/18.81 ( ld(mult(rd(X1,X2),X3),mult(X1,X3)) = mult(X2,ld(X3,X3)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_19]).
% 18.43/18.81 cnf('0.20.0.0',plain,
% 18.43/18.81 ( mult(rd(X1,X1),rd(X2,ld(X1,X3))) = rd(mult(X1,X2),X3) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.15.2.0','0.2.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1.2','L')]).
% 18.43/18.81 cnf('0.20.1.0',plain,
% 18.43/18.81 ( mult(rd(X1,X1),rd(X2,ld(X1,X3))) = rd(mult(X1,X2),X3) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.20.0.0']),
% 18.43/18.81 [weight('<149,15,2,[1,0,0,3]>')]).
% 18.43/18.81 cnf('0.20.2.0',plain,
% 18.43/18.81 ( mult(rd(X1,X1),rd(X2,ld(X1,X3))) = rd(mult(X1,X2),X3) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 18.43/18.81 [u,rule_20]).
% 18.43/18.81 cnf('0.21.0.0',plain,
% 18.43/18.81 ( rd(mult(X1,X2),mult(X1,X3)) = mult(rd(X1,X1),rd(X2,X3)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.20.2.0','0.4.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2.2','L')]).
% 18.43/18.81 cnf('0.21.1.0',plain,
% 18.43/18.81 ( rd(mult(X1,X2),mult(X1,X3)) = mult(rd(X1,X1),rd(X2,X3)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.21.0.0']),
% 18.43/18.81 [weight('<119,20,4,[1,0,0,6]>')]).
% 18.43/18.81 cnf('0.21.2.0',plain,
% 18.43/18.81 ( mult(rd(X1,X1),rd(X2,X3)) = rd(mult(X1,X2),mult(X1,X3)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_21]).
% 18.43/18.81 cnf('0.23.0.0',plain,
% 18.43/18.81 ( mult(rd(X1,ld(X2,X2)),ld(X3,X2)) = mult(X2,ld(X3,X1)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.16.2.0','0.2.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2.2','L')]).
% 18.43/18.81 cnf('0.23.1.0',plain,
% 18.43/18.81 ( mult(rd(X1,ld(X2,X2)),ld(X3,X2)) = mult(X2,ld(X3,X1)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.23.0.0']),
% 18.43/18.81 [weight('<149,16,2,[1,0,0,4]>')]).
% 18.43/18.81 cnf('0.23.2.0',plain,
% 18.43/18.81 ( mult(rd(X1,ld(X2,X2)),ld(X3,X2)) = mult(X2,ld(X3,X1)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 18.43/18.81 [u,rule_23]).
% 18.43/18.81 cnf('0.24.0.0',plain,
% 18.43/18.81 ( mult(X1,ld(rd(X1,X2),X3)) = mult(rd(X3,ld(X1,X1)),X2) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.23.2.0','0.8.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2','L')]).
% 18.43/18.81 cnf('0.24.1.0',plain,
% 18.43/18.81 ( mult(X1,ld(rd(X1,X2),X3)) = mult(rd(X3,ld(X1,X1)),X2) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.24.0.0']),
% 18.43/18.81 [weight('<119,23,8,[1,0,0,6]>')]).
% 18.43/18.81 cnf('0.24.2.0',plain,
% 18.43/18.81 ( mult(rd(X1,ld(X2,X2)),X3) = mult(X2,ld(rd(X2,X3),X1)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_24]).
% 18.43/18.81 cnf('0.25.0.0',plain,
% 18.43/18.81 ( rd(ld(mult(X1,X2),X3),ld(X2,X2)) = ld(X1,rd(X3,X2)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.18.2.0','0.1.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2.1','L')]).
% 18.43/18.81 cnf('0.25.1.0',plain,
% 18.43/18.81 ( rd(ld(mult(X1,X2),X3),ld(X2,X2)) = ld(X1,rd(X3,X2)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.25.0.0']),
% 18.43/18.81 [weight('<149,18,1,[1,0,0,3]>')]).
% 18.43/18.81 cnf('0.25.2.0',plain,
% 18.43/18.81 ( rd(ld(mult(X1,X2),X3),ld(X2,X2)) = ld(X1,rd(X3,X2)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 18.43/18.81 [u,rule_25]).
% 18.43/18.81 cnf('0.26.0.0',plain,
% 18.43/18.81 ( ld(rd(X1,X2),rd(X3,X2)) = rd(ld(X1,X3),ld(X2,X2)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.25.2.0','0.2.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1.1','L')]).
% 18.43/18.81 cnf('0.26.1.0',plain,
% 18.43/18.81 ( ld(rd(X1,X2),rd(X3,X2)) = rd(ld(X1,X3),ld(X2,X2)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.26.0.0']),
% 18.43/18.81 [weight('<119,25,2,[1,0,0,2]>')]).
% 18.43/18.81 cnf('0.26.2.0',plain,
% 18.43/18.81 ( rd(ld(X1,X2),ld(X3,X3)) = ld(rd(X1,X3),rd(X2,X3)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_26]).
% 18.43/18.81 cnf('0.30.0.0',plain,
% 18.43/18.81 ( mult(rd(X1,X2),X3) = rd(mult(X1,X3),mult(X2,ld(X3,X3))) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.7.2.0','0.19.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2','L')]).
% 18.43/18.81 cnf('0.30.1.0',plain,
% 18.43/18.81 ( mult(rd(X1,X2),X3) = rd(mult(X1,X3),mult(X2,ld(X3,X3))) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.30.0.0']),
% 18.43/18.81 [weight('<149,19,7,[0,0,0,2]>')]).
% 18.43/18.81 cnf('0.30.2.0',plain,
% 18.43/18.81 ( rd(mult(X1,X2),mult(X3,ld(X2,X2))) = mult(rd(X1,X3),X2) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_30]).
% 18.43/18.81 cnf('0.31.0.0',plain,
% 18.43/18.81 ( rd(mult(X1,X2),mult(X1,ld(X3,X2))) = mult(rd(X1,X1),X3) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.21.2.0','0.7.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2','L')]).
% 18.43/18.81 cnf('0.31.1.0',plain,
% 18.43/18.81 ( rd(mult(X1,X2),mult(X1,ld(X3,X2))) = mult(rd(X1,X1),X3) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.31.0.0']),
% 18.43/18.81 [weight('<149,21,7,[1,0,0,4]>')]).
% 18.43/18.81 cnf('0.31.2.0',plain,
% 18.43/18.81 ( rd(mult(X1,X2),mult(X1,ld(X3,X2))) = mult(rd(X1,X1),X3) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 18.43/18.81 [u,rule_31]).
% 18.43/18.81 cnf('0.32.0.0',plain,
% 18.43/18.81 ( rd(X1,ld(X2,X2)) = rd(mult(X2,ld(rd(X2,X3),X1)),X3) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.3.2.0','0.24.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1','L')]).
% 18.43/18.81 cnf('0.32.1.0',plain,
% 18.43/18.81 ( rd(X1,ld(X2,X2)) = rd(mult(X2,ld(rd(X2,X3),X1)),X3) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.32.0.0']),
% 18.43/18.81 [weight('<149,24,3,[0,0,0,1]>')]).
% 18.43/18.81 cnf('0.32.2.0',plain,
% 18.43/18.81 ( rd(mult(X1,ld(rd(X1,X2),X3)),X2) = rd(X3,ld(X1,X1)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_32]).
% 18.43/18.81 cnf('0.37.0.0',plain,
% 18.43/18.81 ( mult(rd(X1,X1),X2) = rd(X3,mult(X1,ld(X2,ld(X1,X3)))) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.31.2.0','0.1.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1','L')]).
% 18.43/18.81 cnf('0.37.1.0',plain,
% 18.43/18.81 ( mult(rd(X1,X1),X2) = rd(X3,mult(X1,ld(X2,ld(X1,X3)))) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.37.0.0']),
% 18.43/18.81 [weight('<149,31,1,[1,0,0,1]>')]).
% 18.43/18.81 cnf('0.37.2.0',plain,
% 18.43/18.81 ( rd(X1,mult(X2,ld(X3,ld(X2,X1)))) = mult(rd(X2,X2),X3) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_37]).
% 18.43/18.81 cnf('0.38.0.0',plain,
% 18.43/18.81 ( mult(X1,ld(X2,ld(X1,X3))) = ld(mult(rd(X1,X1),X2),X3) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.8.2.0','0.37.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1','L')]).
% 18.43/18.81 cnf('0.38.1.0',plain,
% 18.43/18.81 ( mult(X1,ld(X2,ld(X1,X3))) = ld(mult(rd(X1,X1),X2),X3) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.38.0.0']),
% 18.43/18.81 [weight('<119,37,8,[0,0,0,1]>')]).
% 18.43/18.81 cnf('0.38.2.0',plain,
% 18.43/18.81 ( mult(X1,ld(X2,ld(X1,X3))) = ld(mult(rd(X1,X1),X2),X3) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 18.43/18.81 [u,rule_38]).
% 18.43/18.81 cnf('0.39.0.0',plain,
% 18.43/18.81 ( mult(X1,ld(X2,X3)) = ld(mult(rd(X1,X1),X2),mult(X1,X3)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.8.2.0','0.31.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1','L')]).
% 18.43/18.81 cnf('0.39.1.0',plain,
% 18.43/18.81 ( mult(X1,ld(X2,X3)) = ld(mult(rd(X1,X1),X2),mult(X1,X3)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.39.0.0']),
% 18.43/18.81 [weight('<149,31,8,[0,0,0,1]>')]).
% 18.43/18.81 cnf('0.39.2.0',plain,
% 18.43/18.81 ( ld(mult(rd(X1,X1),X2),mult(X1,X3)) = mult(X1,ld(X2,X3)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_39]).
% 18.43/18.81 cnf('0.40.0.0',plain,
% 18.43/18.81 ( rd(mult(rd(X1,X2),X3),ld(X1,X1)) = rd(mult(X1,X3),X2) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.32.2.0','0.4.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1.2','L')]).
% 18.43/18.81 cnf('0.40.1.0',plain,
% 18.43/18.81 ( rd(mult(rd(X1,X2),X3),ld(X1,X1)) = rd(mult(X1,X3),X2) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.40.0.0']),
% 18.43/18.81 [weight('<149,32,4,[1,0,0,3]>')]).
% 18.43/18.81 cnf('0.40.2.0',plain,
% 18.43/18.81 ( rd(mult(rd(X1,X2),X3),ld(X1,X1)) = rd(mult(X1,X3),X2) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 18.43/18.81 [u,rule_40]).
% 18.43/18.81 cnf('0.41.0.0',plain,
% 18.43/18.81 ( rd(X1,ld(X2,X2)) = rd(mult(X2,ld(X3,X1)),ld(X3,X2)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.32.2.0','0.7.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1.2.1','L')]).
% 18.43/18.81 cnf('0.41.1.0',plain,
% 18.43/18.81 ( rd(X1,ld(X2,X2)) = rd(mult(X2,ld(X3,X1)),ld(X3,X2)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.41.0.0']),
% 18.43/18.81 [weight('<149,32,7,[1,0,0,4]>')]).
% 18.43/18.81 cnf('0.41.2.0',plain,
% 18.43/18.81 ( rd(mult(X1,ld(X2,X3)),ld(X2,X1)) = rd(X3,ld(X1,X1)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_41]).
% 18.43/18.81 cnf('0.44.0.0',plain,
% 18.43/18.81 ( mult(X1,ld(ld(rd(X1,X1),X2),X3)) = ld(X2,mult(X1,X3)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.39.2.0','0.1.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1','L')]).
% 18.43/18.81 cnf('0.44.1.0',plain,
% 18.43/18.81 ( mult(X1,ld(ld(rd(X1,X1),X2),X3)) = ld(X2,mult(X1,X3)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.44.0.0']),
% 18.43/18.81 [weight('<149,39,1,[1,0,0,1]>')]).
% 18.43/18.81 cnf('0.44.2.0',plain,
% 18.43/18.81 ( mult(X1,ld(ld(rd(X1,X1),X2),X3)) = ld(X2,mult(X1,X3)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 18.43/18.81 [u,rule_44]).
% 18.43/18.81 cnf('0.45.0.0',plain,
% 18.43/18.81 ( ld(ld(rd(X1,X1),X2),X3) = ld(X1,ld(X2,mult(X1,X3))) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.4.2.0','0.44.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2','L')]).
% 18.43/18.81 cnf('0.45.1.0',plain,
% 18.43/18.81 ( ld(ld(rd(X1,X1),X2),X3) = ld(X1,ld(X2,mult(X1,X3))) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.45.0.0']),
% 18.43/18.81 [weight('<119,44,4,[0,0,0,2]>')]).
% 18.43/18.81 cnf('0.45.2.0',plain,
% 18.43/18.81 ( ld(ld(rd(X1,X1),X2),X3) = ld(X1,ld(X2,mult(X1,X3))) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 18.43/18.81 [u,rule_45]).
% 18.43/18.81 cnf('0.46.0.0',plain,
% 18.43/18.81 ( mult(rd(X1,X2),X3) = mult(rd(mult(X1,X3),X2),ld(X1,X1)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.2.2.0','0.40.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1','L')]).
% 18.43/18.81 cnf('0.46.1.0',plain,
% 18.43/18.81 ( mult(rd(X1,X2),X3) = mult(rd(mult(X1,X3),X2),ld(X1,X1)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.46.0.0']),
% 18.43/18.81 [weight('<149,40,2,[0,0,0,1]>')]).
% 18.43/18.81 cnf('0.46.2.0',plain,
% 18.43/18.81 ( mult(rd(mult(X1,X2),X3),ld(X1,X1)) = mult(rd(X1,X3),X2) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_46]).
% 18.43/18.81 cnf('0.47.0.0',plain,
% 18.43/18.81 ( rd(X1,ld(X2,X2)) = rd(mult(X2,X3),ld(rd(X1,X3),X2)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.41.2.0','0.8.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1.2','L')]).
% 18.43/18.81 cnf('0.47.1.0',plain,
% 18.43/18.81 ( rd(X1,ld(X2,X2)) = rd(mult(X2,X3),ld(rd(X1,X3),X2)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.47.0.0']),
% 18.43/18.81 [weight('<149,41,8,[1,0,0,3]>')]).
% 18.43/18.81 cnf('0.47.2.0',plain,
% 18.43/18.81 ( rd(mult(X1,X2),ld(rd(X3,X2),X1)) = rd(X3,ld(X1,X1)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_47]).
% 18.43/18.81 cnf('0.48.0.0',plain,
% 18.43/18.81 ( ld(rd(X1,X1),X2) = rd(X3,ld(X1,ld(X2,mult(X1,X3)))) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.7.2.0','0.45.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2','L')]).
% 18.43/18.81 cnf('0.48.1.0',plain,
% 18.43/18.81 ( ld(rd(X1,X1),X2) = rd(X3,ld(X1,ld(X2,mult(X1,X3)))) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.48.0.0']),
% 18.43/18.81 [weight('<149,45,7,[0,0,0,2]>')]).
% 18.43/18.81 cnf('0.48.2.0',plain,
% 18.43/18.81 ( rd(X1,ld(X2,ld(X3,mult(X2,X1)))) = ld(rd(X2,X2),X3) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_48]).
% 18.43/18.81 cnf('0.49.0.0',plain,
% 18.43/18.81 ( mult(rd(X1,ld(X2,mult(X1,X3))),X3) = mult(X2,ld(X1,X1)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.46.2.0','0.7.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1','L')]).
% 18.43/18.81 cnf('0.49.1.0',plain,
% 18.43/18.81 ( mult(rd(X1,ld(X2,mult(X1,X3))),X3) = mult(X2,ld(X1,X1)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.49.0.0']),
% 18.43/18.81 [weight('<149,46,7,[1,0,0,1]>')]).
% 18.43/18.81 cnf('0.49.2.0',plain,
% 18.43/18.81 ( mult(rd(X1,ld(X2,mult(X1,X3))),X3) = mult(X2,ld(X1,X1)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 18.43/18.81 [u,rule_49]).
% 18.43/18.81 cnf('0.50.0.0',plain,
% 18.43/18.81 ( rd(X1,ld(X2,mult(X1,X3))) = rd(mult(X2,ld(X1,X1)),X3) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.3.2.0','0.49.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1','L')]).
% 18.43/18.81 cnf('0.50.1.0',plain,
% 18.43/18.81 ( rd(X1,ld(X2,mult(X1,X3))) = rd(mult(X2,ld(X1,X1)),X3) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.50.0.0']),
% 18.43/18.81 [weight('<119,49,3,[0,0,0,1]>')]).
% 18.43/18.81 cnf('0.50.2.0',plain,
% 18.43/18.81 ( rd(mult(X1,ld(X2,X2)),X3) = rd(X2,ld(X1,mult(X2,X3))) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_50]).
% 18.43/18.81 cnf('0.52.0.0',plain,
% 18.43/18.81 ( rd(X1,ld(X2,X2)) = rd(X3,ld(rd(X1,ld(X2,X3)),X2)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.47.2.0','0.1.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1','L')]).
% 18.43/18.81 cnf('0.52.1.0',plain,
% 18.43/18.81 ( rd(X1,ld(X2,X2)) = rd(X3,ld(rd(X1,ld(X2,X3)),X2)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.52.0.0']),
% 18.43/18.81 [weight('<149,47,1,[1,0,0,1]>')]).
% 18.43/18.81 cnf('0.52.2.0',plain,
% 18.43/18.81 ( rd(X1,ld(rd(X2,ld(X3,X1)),X3)) = rd(X2,ld(X3,X3)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_52]).
% 18.43/18.81 cnf('0.53.0.0',plain,
% 18.43/18.81 ( ld(rd(X1,X1),X2) = rd(ld(X1,X3),ld(X1,ld(X2,X3))) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.48.2.0','0.1.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2.2.2','L')]).
% 18.43/18.81 cnf('0.53.1.0',plain,
% 18.43/18.81 ( ld(rd(X1,X1),X2) = rd(ld(X1,X3),ld(X1,ld(X2,X3))) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.53.0.0']),
% 18.43/18.81 [weight('<149,48,1,[1,0,0,6]>')]).
% 18.43/18.81 cnf('0.53.2.0',plain,
% 18.43/18.81 ( rd(ld(X1,X2),ld(X1,ld(X3,X2))) = ld(rd(X1,X1),X3) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_53]).
% 18.43/18.81 cnf('0.54.0.0',plain,
% 18.43/18.81 ( ld(rd(X1,X1),rd(X2,X3)) = rd(ld(X1,X2),ld(X1,X3)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.53.2.0','0.8.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2.2','L')]).
% 18.43/18.81 cnf('0.54.1.0',plain,
% 18.43/18.81 ( ld(rd(X1,X1),rd(X2,X3)) = rd(ld(X1,X2),ld(X1,X3)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.54.0.0']),
% 18.43/18.81 [weight('<119,53,8,[1,0,0,6]>')]).
% 18.43/18.81 cnf('0.54.2.0',plain,
% 18.43/18.81 ( rd(ld(X1,X2),ld(X1,X3)) = ld(rd(X1,X1),rd(X2,X3)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_54]).
% 18.43/18.81 cnf('0.55.0.0',plain,
% 18.43/18.81 ( ld(rd(X1,X1),rd(mult(X1,X2),X3)) = rd(X2,ld(X1,X3)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.48.2.0','0.8.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2.2','L')]).
% 18.43/18.81 cnf('0.55.1.0',plain,
% 18.43/18.81 ( ld(rd(X1,X1),rd(mult(X1,X2),X3)) = rd(X2,ld(X1,X3)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.55.0.0']),
% 18.43/18.81 [weight('<149,48,8,[1,0,0,4]>')]).
% 18.43/18.81 cnf('0.55.2.0',plain,
% 18.43/18.81 ( ld(rd(X1,X1),rd(mult(X1,X2),X3)) = rd(X2,ld(X1,X3)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 18.43/18.81 [u,rule_55]).
% 18.43/18.81 cnf('0.56.0.0',plain,
% 18.43/18.81 ( mult(X1,ld(X2,X2)) = mult(rd(X2,ld(X1,X3)),ld(X2,X3)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.49.2.0','0.1.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.1.2.2','L')]).
% 18.43/18.81 cnf('0.56.1.0',plain,
% 18.43/18.81 ( mult(X1,ld(X2,X2)) = mult(rd(X2,ld(X1,X3)),ld(X2,X3)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.56.0.0']),
% 18.43/18.81 [weight('<149,49,1,[1,0,0,5]>')]).
% 18.43/18.81 cnf('0.56.2.0',plain,
% 18.43/18.81 ( mult(rd(X1,ld(X2,X3)),ld(X1,X3)) = mult(X2,ld(X1,X1)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 18.43/18.81 [x,rule_56]).
% 18.43/18.81 cnf('0.57.0.0',plain,
% 18.43/18.81 ( rd(X1,ld(rd(X2,X3),mult(X1,ld(X2,X2)))) = rd(mult(X2,ld(X1,X1)),X3) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.50.2.0','0.40.2.0',theory(equality)]),
% 18.43/18.81 [pos('L','L')]).
% 18.43/18.81 cnf('0.57.0.1',plain,
% 18.43/18.81 ( rd(X1,ld(rd(X2,X3),mult(X1,ld(X2,X2)))) = rd(X1,ld(X2,mult(X1,X3))) ),
% 18.43/18.81 inference(reduction,[status(thm)],['0.57.0.0','0.50.2.0',theory(equality)]),
% 18.43/18.81 [pos('R','L')]).
% 18.43/18.81 cnf('0.57.1.0',plain,
% 18.43/18.81 ( ld(rd(X2,X3),mult(X1,ld(X2,X2))) = ld(X2,mult(X1,X3)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.57.0.1']),
% 18.43/18.81 [weight('<149,50,40,[1,0,0,0]>')]).
% 18.43/18.81 cnf('0.57.2.0',plain,
% 18.43/18.81 ( ld(rd(X1,X2),mult(X3,ld(X1,X1))) = ld(X1,mult(X3,X2)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 18.43/18.81 [u,rule_57]).
% 18.43/18.81 cnf('0.58.0.0',plain,
% 18.43/18.81 ( rd(mult(X1,ld(X2,X3)),ld(X2,X2)) = rd(X3,ld(X1,X2)) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.52.2.0','0.3.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2.1','L')]).
% 18.43/18.81 cnf('0.58.1.0',plain,
% 18.43/18.81 ( rd(mult(X1,ld(X2,X3)),ld(X2,X2)) = rd(X3,ld(X1,X2)) ),
% 18.43/18.81 inference(weigh,[status(thm)],['0.58.0.0']),
% 18.43/18.81 [weight('<149,52,3,[1,0,0,3]>')]).
% 18.43/18.81 cnf('0.58.2.0',plain,
% 18.43/18.81 ( rd(mult(X1,ld(X2,X3)),ld(X2,X2)) = rd(X3,ld(X1,X2)) ),
% 18.43/18.81 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 18.43/18.81 [u,rule_58]).
% 18.43/18.81 cnf('0.59.0.0',plain,
% 18.43/18.81 ( ld(rd(X1,X1),rd(X2,mult(X1,X3))) = rd(ld(X1,X2),X3) ),
% 18.43/18.81 inference(cp,[status(thm)],['0.54.2.0','0.4.2.0',theory(equality)]),
% 18.43/18.81 [pos('L.2','L')]).
% 18.43/18.81 cnf('0.59.1.0',plain,
% 18.43/18.82 ( ld(rd(X1,X1),rd(X2,mult(X1,X3))) = rd(ld(X1,X2),X3) ),
% 18.43/18.82 inference(weigh,[status(thm)],['0.59.0.0']),
% 18.43/18.82 [weight('<149,54,4,[1,0,0,4]>')]).
% 18.43/18.82 cnf('0.59.2.0',plain,
% 18.43/18.82 ( ld(rd(X1,X1),rd(X2,mult(X1,X3))) = rd(ld(X1,X2),X3) ),
% 18.43/18.82 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 18.43/18.82 [u,rule_59]).
% 18.43/18.82 cnf('0.60.0.0',plain,
% 18.43/18.82 ( mult(X1,ld(X2,X2)) = mult(rd(X2,X3),ld(X2,mult(X1,X3))) ),
% 18.43/18.82 inference(cp,[status(thm)],['0.56.2.0','0.4.2.0',theory(equality)]),
% 18.43/18.82 [pos('L.1.2','L')]).
% 18.43/18.82 cnf('0.60.1.0',plain,
% 18.43/18.82 ( mult(X1,ld(X2,X2)) = mult(rd(X2,X3),ld(X2,mult(X1,X3))) ),
% 18.43/18.82 inference(weigh,[status(thm)],['0.60.0.0']),
% 18.43/18.82 [weight('<149,56,4,[1,0,0,3]>')]).
% 18.43/18.82 cnf('0.60.2.0',plain,
% 18.43/18.82 ( mult(rd(X1,X2),ld(X1,mult(X3,X2))) = mult(X3,ld(X1,X1)) ),
% 18.43/18.82 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 18.43/18.82 [x,rule_60]).
% 18.43/18.82 cnf('0.61.0.0',plain,
% 18.43/18.82 ( mult(rd(X1,ld(X2,X3)),ld(X3,X3)) = mult(rd(X1,ld(X2,X2)),ld(X3,X2)) ),
% 18.43/18.82 inference(cp,[status(thm)],['0.56.2.0','0.52.2.0',theory(equality)]),
% 18.43/18.82 [pos('L.1','L')]).
% 18.43/18.82 cnf('0.61.0.1',plain,
% 18.43/18.82 ( mult(rd(X1,ld(X2,X3)),ld(X3,X3)) = mult(X2,ld(rd(X2,ld(X3,X2)),X1)) ),
% 18.43/18.82 inference(reduction,[status(thm)],['0.61.0.0','0.24.2.0',theory(equality)]),
% 18.43/18.82 [pos('R','L')]).
% 18.43/18.82 cnf('0.61.0.2',plain,
% 18.43/18.82 ( mult(rd(X1,ld(X2,X3)),ld(X3,X3)) = mult(X2,ld(X3,X1)) ),
% 18.43/18.82 inference(reduction,[status(thm)],['0.61.0.1','0.7.2.0',theory(equality)]),
% 18.43/18.82 [pos('R.2.1','L')]).
% 18.43/18.82 cnf('0.61.1.0',plain,
% 18.43/18.82 ( mult(rd(X1,ld(X2,X3)),ld(X3,X3)) = mult(X2,ld(X3,X1)) ),
% 18.43/18.82 inference(weigh,[status(thm)],['0.61.0.2']),
% 18.43/18.82 [weight('<149,56,52,[1,0,0,1]>')]).
% 18.43/18.82 cnf('0.61.2.0',plain,
% 18.43/18.82 ( mult(rd(X1,ld(X2,X3)),ld(X3,X3)) = mult(X2,ld(X3,X1)) ),
% 18.43/18.82 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 18.43/18.82 [u,rule_61]).
% 18.43/18.82 cnf('0.62.0.0',plain,
% 18.43/18.82 ( rd(ld(X1,mult(X2,mult(X1,X3))),X3) = ld(rd(X1,X1),X2) ),
% 18.43/18.82 inference(cp,[status(thm)],['0.59.2.0','0.3.2.0',theory(equality)]),
% 18.43/18.82 [pos('L.2','L')]).
% 18.43/18.82 cnf('0.62.1.0',plain,
% 18.43/18.82 ( rd(ld(X1,mult(X2,mult(X1,X3))),X3) = ld(rd(X1,X1),X2) ),
% 18.43/18.82 inference(weigh,[status(thm)],['0.62.0.0']),
% 18.46/18.82 [weight('<149,59,3,[1,0,0,4]>')]).
% 18.46/18.82 cnf('0.62.2.0',plain,
% 18.46/18.82 ( rd(ld(X1,mult(X2,mult(X1,X3))),X3) = ld(rd(X1,X1),X2) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_62]).
% 18.46/18.82 cnf('0.63.0.0',plain,
% 18.46/18.82 ( ld(X1,mult(X2,mult(X1,X3))) = mult(ld(rd(X1,X1),X2),X3) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.2.2.0','0.62.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.63.1.0',plain,
% 18.46/18.82 ( ld(X1,mult(X2,mult(X1,X3))) = mult(ld(rd(X1,X1),X2),X3) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.63.0.0']),
% 18.46/18.82 [weight('<119,62,2,[0,0,0,1]>')]).
% 18.46/18.82 cnf('0.63.2.0',plain,
% 18.46/18.82 ( mult(ld(rd(X1,X1),X2),X3) = ld(X1,mult(X2,mult(X1,X3))) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_63]).
% 18.46/18.82 cnf('0.64.0.0',plain,
% 18.46/18.82 ( rd(ld(X1,mult(X2,X3)),ld(X3,X3)) = ld(rd(X1,X1),mult(rd(X2,X1),X3)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.59.2.0','0.30.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.64.0.1',plain,
% 18.46/18.82 ( ld(rd(X1,X3),rd(mult(X2,X3),X3)) = ld(rd(X1,X1),mult(rd(X2,X1),X3)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.64.0.0','0.26.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.64.0.2',plain,
% 18.46/18.82 ( ld(rd(X1,X3),X2) = ld(rd(X1,X1),mult(rd(X2,X1),X3)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.64.0.1','0.3.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.64.1.0',plain,
% 18.46/18.82 ( ld(rd(X1,X3),X2) = ld(rd(X1,X1),mult(rd(X2,X1),X3)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.64.0.2']),
% 18.46/18.82 [weight('<149,59,30,[1,0,0,4]>')]).
% 18.46/18.82 cnf('0.64.2.0',plain,
% 18.46/18.82 ( ld(rd(X1,X1),mult(rd(X2,X1),X3)) = ld(rd(X1,X3),X2) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_64]).
% 18.46/18.82 cnf('0.66.0.0',plain,
% 18.46/18.82 ( ld(rd(X1,X1),X2) = ld(rd(X1,X3),rd(mult(X2,mult(X1,ld(X3,X3))),X3)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.62.2.0','0.26.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.66.0.1',plain,
% 18.46/18.82 ( ld(rd(X1,X1),X2) = ld(rd(X1,X3),mult(rd(X2,X3),X1)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.66.0.0','0.17.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.2','L')]).
% 18.46/18.82 cnf('0.66.1.0',plain,
% 18.46/18.82 ( ld(rd(X1,X1),X2) = ld(rd(X1,X3),mult(rd(X2,X3),X1)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.66.0.1']),
% 18.46/18.82 [weight('<149,62,26,[1,0,0,0]>')]).
% 18.46/18.82 cnf('0.66.2.0',plain,
% 18.46/18.82 ( ld(rd(X1,X2),mult(rd(X3,X2),X1)) = ld(rd(X1,X1),X3) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_66]).
% 18.46/18.82 cnf('0.67.0.0',plain,
% 18.46/18.82 ( mult(rd(X1,X2),X3) = mult(rd(X2,X2),ld(rd(X2,X3),X1)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.1.2.0','0.64.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.67.1.0',plain,
% 18.46/18.82 ( mult(rd(X1,X2),X3) = mult(rd(X2,X2),ld(rd(X2,X3),X1)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.67.0.0']),
% 18.46/18.82 [weight('<149,64,1,[0,0,0,2]>')]).
% 18.46/18.82 cnf('0.67.2.0',plain,
% 18.46/18.82 ( mult(rd(X1,X1),ld(rd(X1,X2),X3)) = mult(rd(X3,X1),X2) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_67]).
% 18.46/18.82 cnf('0.69.0.0',plain,
% 18.46/18.82 ( mult(rd(X1,X2),X3) = mult(rd(X3,X2),ld(rd(X3,X3),X1)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.1.2.0','0.66.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.69.1.0',plain,
% 18.46/18.82 ( mult(rd(X1,X2),X3) = mult(rd(X3,X2),ld(rd(X3,X3),X1)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.69.0.0']),
% 18.46/18.82 [weight('<149,66,1,[0,0,0,2]>')]).
% 18.46/18.82 cnf('0.69.2.0',plain,
% 18.46/18.82 ( mult(rd(X1,X2),ld(rd(X1,X1),X3)) = mult(rd(X3,X2),X1) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_69]).
% 18.46/18.82 cnf('0.71.0.0',plain,
% 18.46/18.82 ( ld(rd(X1,X1),X2) = ld(rd(X1,ld(X3,X2)),mult(X3,X1)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.66.2.0','0.7.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2.1','L')]).
% 18.46/18.82 cnf('0.71.1.0',plain,
% 18.46/18.82 ( ld(rd(X1,X1),X2) = ld(rd(X1,ld(X3,X2)),mult(X3,X1)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.71.0.0']),
% 18.46/18.82 [weight('<149,66,7,[1,0,0,5]>')]).
% 18.46/18.82 cnf('0.71.2.0',plain,
% 18.46/18.82 ( ld(rd(X1,ld(X2,X3)),mult(X2,X1)) = ld(rd(X1,X1),X3) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_71]).
% 18.46/18.82 cnf('0.72.0.0',plain,
% 18.46/18.82 ( mult(rd(mult(rd(X1,X2),X3),X1),X2) = mult(rd(X1,X1),X3) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.67.2.0','0.4.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.72.1.0',plain,
% 18.46/18.82 ( mult(rd(mult(rd(X1,X2),X3),X1),X2) = mult(rd(X1,X1),X3) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.72.0.0']),
% 18.46/18.82 [weight('<149,67,4,[1,0,0,4]>')]).
% 18.46/18.82 cnf('0.72.2.0',plain,
% 18.46/18.82 ( mult(rd(mult(rd(X1,X2),X3),X1),X2) = mult(rd(X1,X1),X3) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_72]).
% 18.46/18.82 cnf('0.74.0.0',plain,
% 18.46/18.82 ( mult(rd(mult(rd(X1,X1),X2),X3),X1) = mult(rd(X1,X3),X2) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.69.2.0','0.4.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.74.1.0',plain,
% 18.46/18.82 ( mult(rd(mult(rd(X1,X1),X2),X3),X1) = mult(rd(X1,X3),X2) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.74.0.0']),
% 18.46/18.82 [weight('<149,69,4,[1,0,0,4]>')]).
% 18.46/18.82 cnf('0.74.2.0',plain,
% 18.46/18.82 ( mult(rd(mult(rd(X1,X1),X2),X3),X1) = mult(rd(X1,X3),X2) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_74]).
% 18.46/18.82 cnf('0.76.0.0',plain,
% 18.46/18.82 ( rd(X1,ld(X2,X3)) = rd(mult(X2,X1),ld(rd(X1,X1),X3)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.7.2.0','0.71.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.76.1.0',plain,
% 18.46/18.82 ( rd(X1,ld(X2,X3)) = rd(mult(X2,X1),ld(rd(X1,X1),X3)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.76.0.0']),
% 18.46/18.82 [weight('<149,71,7,[0,0,0,2]>')]).
% 18.46/18.82 cnf('0.76.2.0',plain,
% 18.46/18.82 ( rd(mult(X1,X2),ld(rd(X2,X2),X3)) = rd(X2,ld(X1,X3)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_76]).
% 18.46/18.82 cnf('0.79.0.0',plain,
% 18.46/18.82 ( ld(rd(X1,X1),mult(rd(X2,X1),X3)) = ld(rd(X1,X2),mult(rd(X2,X2),X3)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.66.2.0','0.72.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.79.0.1',plain,
% 18.46/18.82 ( ld(rd(X1,X3),X2) = ld(rd(X1,X2),mult(rd(X2,X2),X3)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.79.0.0','0.64.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.79.1.0',plain,
% 18.46/18.82 ( ld(rd(X1,X3),X2) = ld(rd(X1,X2),mult(rd(X2,X2),X3)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.79.0.1']),
% 18.46/18.82 [weight('<149,72,66,[0,0,0,4]>')]).
% 18.46/18.82 cnf('0.79.2.0',plain,
% 18.46/18.82 ( ld(rd(X1,X2),mult(rd(X2,X2),X3)) = ld(rd(X1,X3),X2) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_79]).
% 18.46/18.82 cnf('0.83.0.0',plain,
% 18.46/18.82 ( mult(rd(X1,X1),ld(X2,mult(X3,X1))) = mult(rd(X1,ld(X3,X2)),ld(X2,X2)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.61.2.0','0.76.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.83.0.1',plain,
% 18.46/18.82 ( mult(rd(X1,X1),ld(X2,mult(X3,X1))) = mult(X3,ld(X2,X1)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.83.0.0','0.61.2.0',theory(equality)]),
% 18.46/18.82 [pos('R','L')]).
% 18.46/18.82 cnf('0.83.1.0',plain,
% 18.46/18.82 ( mult(rd(X1,X1),ld(X2,mult(X3,X1))) = mult(X3,ld(X2,X1)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.83.0.1']),
% 18.46/18.82 [weight('<149,76,61,[0,0,0,1]>')]).
% 18.46/18.82 cnf('0.83.2.0',plain,
% 18.46/18.82 ( mult(rd(X1,X1),ld(X2,mult(X3,X1))) = mult(X3,ld(X2,X1)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_83]).
% 18.46/18.82 cnf('0.104.0.0',plain,
% 18.46/18.82 ( mult(X1,mult(rd(X2,X3),ld(X1,X4))) = mult(rd(mult(X1,X2),mult(X1,X3)),X4) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.9.2.0','0.21.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.104.1.0',plain,
% 18.46/18.82 ( mult(X1,mult(rd(X2,X3),ld(X1,X4))) = mult(rd(mult(X1,X2),mult(X1,X3)),X4) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.104.0.0']),
% 18.46/18.82 [weight('<189,21,9,[0,0,0,1]>')]).
% 18.46/18.82 cnf('0.104.2.0',plain,
% 18.46/18.82 ( mult(rd(mult(X1,X2),mult(X1,X3)),X4) = mult(X1,mult(rd(X2,X3),ld(X1,X4))) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_104]).
% 18.46/18.82 cnf('0.118.0.0',plain,
% 18.46/18.82 ( mult(rd(mult(X1,X2),X3),ld(X4,X1)) = mult(X1,ld(X4,mult(rd(X1,X3),X2))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.16.2.0','0.46.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2.2','L')]).
% 18.46/18.82 cnf('0.118.1.0',plain,
% 18.46/18.82 ( mult(rd(mult(X1,X2),X3),ld(X4,X1)) = mult(X1,ld(X4,mult(rd(X1,X3),X2))) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.118.0.0']),
% 18.46/18.82 [weight('<189,46,16,[0,0,0,4]>')]).
% 18.46/18.82 cnf('0.118.2.0',plain,
% 18.46/18.82 ( mult(rd(mult(X1,X2),X3),ld(X4,X1)) = mult(X1,ld(X4,mult(rd(X1,X3),X2))) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.118.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_118]).
% 18.46/18.82 cnf('0.135.0.0',plain,
% 18.46/18.82 ( rd(mult(rd(X1,X2),X3),ld(X2,X2)) = rd(mult(X2,ld(rd(X2,X3),X1)),X2) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.32.2.0','0.64.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1.2','L')]).
% 18.46/18.82 cnf('0.135.1.0',plain,
% 18.46/18.82 ( rd(mult(rd(X1,X2),X3),ld(X2,X2)) = rd(mult(X2,ld(rd(X2,X3),X1)),X2) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.135.0.0']),
% 18.46/18.82 [weight('<189,64,32,[0,0,0,3]>')]).
% 18.46/18.82 cnf('0.135.2.0',plain,
% 18.46/18.82 ( rd(mult(X1,ld(rd(X1,X2),X3)),X1) = rd(mult(rd(X3,X1),X2),ld(X1,X1)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.135.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_135]).
% 18.46/18.82 cnf('0.136.0.0',plain,
% 18.46/18.82 ( rd(mult(rd(mult(X1,ld(X2,X2)),X2),X3),ld(X2,X2)) = rd(mult(X1,ld(rd(X2,X3),X2)),X2) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.135.2.0','0.16.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.136.0.1',plain,
% 18.46/18.82 ( rd(mult(rd(X2,ld(X1,mult(X2,X2))),X3),ld(X2,X2)) = rd(mult(X1,ld(rd(X2,X3),X2)),X2) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.136.0.0','0.50.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1.1','L')]).
% 18.46/18.82 cnf('0.136.0.2',plain,
% 18.46/18.82 ( rd(mult(X2,X3),ld(X1,mult(X2,X2))) = rd(mult(X1,ld(rd(X2,X3),X2)),X2) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.136.0.1','0.40.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.136.0.3',plain,
% 18.46/18.82 ( rd(mult(X2,X3),ld(X1,mult(X2,X2))) = rd(mult(X1,X3),X2) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.136.0.2','0.8.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.1.2','L')]).
% 18.46/18.82 cnf('0.136.1.0',plain,
% 18.46/18.82 ( rd(mult(X2,X3),ld(X1,mult(X2,X2))) = rd(mult(X1,X3),X2) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.136.0.3']),
% 18.46/18.82 [weight('<149,135,16,[1,0,0,1]>')]).
% 18.46/18.82 cnf('0.136.2.0',plain,
% 18.46/18.82 ( rd(mult(X1,X2),ld(X3,mult(X1,X1))) = rd(mult(X3,X2),X1) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.136.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_136]).
% 18.46/18.82 cnf('0.137.0.0',plain,
% 18.46/18.82 ( rd(mult(X1,ld(X2,X3)),X2) = rd(X3,ld(X1,mult(X2,X2))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.136.2.0','0.1.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.137.1.0',plain,
% 18.46/18.82 ( rd(mult(X1,ld(X2,X3)),X2) = rd(X3,ld(X1,mult(X2,X2))) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.137.0.0']),
% 18.46/18.82 [weight('<119,136,1,[1,0,0,1]>')]).
% 18.46/18.82 cnf('0.137.2.0',plain,
% 18.46/18.82 ( rd(mult(X1,ld(X2,X3)),X2) = rd(X3,ld(X1,mult(X2,X2))) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.137.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_137]).
% 18.46/18.82 cnf('0.138.0.0',plain,
% 18.46/18.82 ( ld(X1,mult(X2,X2)) = ld(rd(mult(X1,X3),X2),mult(X2,X3)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.8.2.0','0.136.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.138.1.0',plain,
% 18.46/18.82 ( ld(X1,mult(X2,X2)) = ld(rd(mult(X1,X3),X2),mult(X2,X3)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.138.0.0']),
% 18.46/18.82 [weight('<149,136,8,[0,0,0,1]>')]).
% 18.46/18.82 cnf('0.138.2.0',plain,
% 18.46/18.82 ( ld(rd(mult(X1,X2),X3),mult(X3,X2)) = ld(X1,mult(X3,X3)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.138.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_138]).
% 18.46/18.82 cnf('0.139.0.0',plain,
% 18.46/18.82 ( rd(mult(rd(mult(X1,X1),X2),X3),X1) = rd(mult(X1,X3),X2) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.136.2.0','0.8.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.139.1.0',plain,
% 18.46/18.82 ( rd(mult(rd(mult(X1,X1),X2),X3),X1) = rd(mult(X1,X3),X2) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.139.0.0']),
% 18.46/18.82 [weight('<149,136,8,[1,0,0,4]>')]).
% 18.46/18.82 cnf('0.139.2.0',plain,
% 18.46/18.82 ( rd(mult(rd(mult(X1,X1),X2),X3),X1) = rd(mult(X1,X3),X2) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.139.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_139]).
% 18.46/18.82 cnf('0.140.0.0',plain,
% 18.46/18.82 ( rd(mult(X1,ld(X2,X2)),X3) = rd(X2,ld(X3,mult(X2,ld(X1,mult(X3,X3))))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.136.2.0','0.50.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.140.0.1',plain,
% 18.46/18.82 ( rd(X2,ld(X1,mult(X2,X3))) = rd(X2,ld(X3,mult(X2,ld(X1,mult(X3,X3))))) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.140.0.0','0.50.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.140.1.0',plain,
% 18.46/18.82 ( ld(X1,mult(X2,X3)) = ld(X3,mult(X2,ld(X1,mult(X3,X3)))) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.140.0.1']),
% 18.46/18.82 [weight('<149,136,50,[1,0,0,0]>')]).
% 18.46/18.82 cnf('0.140.2.0',plain,
% 18.46/18.82 ( ld(X1,mult(X2,ld(X3,mult(X1,X1)))) = ld(X3,mult(X2,X1)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.140.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_140]).
% 18.46/18.82 cnf('0.141.0.0',plain,
% 18.46/18.82 ( mult(X1,ld(X2,X3)) = mult(rd(X3,ld(X1,mult(X2,X2))),X2) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.2.2.0','0.137.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.141.1.0',plain,
% 18.46/18.82 ( mult(X1,ld(X2,X3)) = mult(rd(X3,ld(X1,mult(X2,X2))),X2) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.141.0.0']),
% 18.46/18.82 [weight('<149,137,2,[0,0,0,1]>')]).
% 18.46/18.82 cnf('0.141.2.0',plain,
% 18.46/18.82 ( mult(rd(X1,ld(X2,mult(X3,X3))),X3) = mult(X2,ld(X3,X1)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_141]).
% 18.46/18.82 cnf('0.142.0.0',plain,
% 18.46/18.82 ( ld(X1,mult(X2,X2)) = ld(rd(X3,X2),mult(X2,ld(X1,X3))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.138.2.0','0.1.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1.1','L')]).
% 18.46/18.82 cnf('0.142.1.0',plain,
% 18.46/18.82 ( ld(X1,mult(X2,X2)) = ld(rd(X3,X2),mult(X2,ld(X1,X3))) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.142.0.0']),
% 18.46/18.82 [weight('<149,138,1,[1,0,0,2]>')]).
% 18.46/18.82 cnf('0.142.2.0',plain,
% 18.46/18.82 ( ld(rd(X1,X2),mult(X2,ld(X3,X1))) = ld(X3,mult(X2,X2)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.142.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_142]).
% 18.46/18.82 cnf('0.143.0.0',plain,
% 18.46/18.82 ( ld(X1,mult(X2,X2)) = ld(rd(X3,ld(X1,mult(X3,X2))),mult(X2,ld(X3,X3))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.138.2.0','0.50.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.143.0.1',plain,
% 18.46/18.82 ( ld(X1,mult(X2,X2)) = ld(X3,mult(X2,ld(X1,mult(X3,X2)))) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.143.0.0','0.57.2.0',theory(equality)]),
% 18.46/18.82 [pos('R','L')]).
% 18.46/18.82 cnf('0.143.1.0',plain,
% 18.46/18.82 ( ld(X1,mult(X2,X2)) = ld(X3,mult(X2,ld(X1,mult(X3,X2)))) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.143.0.1']),
% 18.46/18.82 [weight('<149,138,50,[1,0,0,1]>')]).
% 18.46/18.82 cnf('0.143.2.0',plain,
% 18.46/18.82 ( ld(X1,mult(X2,ld(X3,mult(X1,X2)))) = ld(X3,mult(X2,X2)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.143.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_143]).
% 18.46/18.82 cnf('0.144.0.0',plain,
% 18.46/18.82 ( rd(mult(X1,ld(X2,X2)),X3) = rd(X2,ld(rd(mult(X1,X1),X3),mult(X2,X1))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.139.2.0','0.50.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.144.0.1',plain,
% 18.46/18.82 ( rd(X2,ld(X1,mult(X2,X3))) = rd(X2,ld(rd(mult(X1,X1),X3),mult(X2,X1))) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.144.0.0','0.50.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.144.1.0',plain,
% 18.46/18.82 ( ld(X1,mult(X2,X3)) = ld(rd(mult(X1,X1),X3),mult(X2,X1)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.144.0.1']),
% 18.46/18.82 [weight('<149,139,50,[1,0,0,0]>')]).
% 18.46/18.82 cnf('0.144.2.0',plain,
% 18.46/18.82 ( ld(rd(mult(X1,X1),X2),mult(X3,X1)) = ld(X1,mult(X3,X2)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.144.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_144]).
% 18.46/18.82 cnf('0.145.0.0',plain,
% 18.46/18.82 ( ld(X1,mult(rd(X2,X1),X3)) = ld(rd(mult(X1,X1),X3),X2) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.144.2.0','0.2.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.145.1.0',plain,
% 18.46/18.82 ( ld(X1,mult(rd(X2,X1),X3)) = ld(rd(mult(X1,X1),X3),X2) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.145.0.0']),
% 18.46/18.82 [weight('<119,144,2,[1,0,0,6]>')]).
% 18.46/18.82 cnf('0.145.2.0',plain,
% 18.46/18.82 ( ld(rd(mult(X1,X1),X2),X3) = ld(X1,mult(rd(X3,X1),X2)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.145.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_145]).
% 18.46/18.82 cnf('0.146.0.0',plain,
% 18.46/18.82 ( mult(rd(mult(X1,X1),X2),ld(X1,X3)) = mult(rd(X3,X2),X1) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.141.2.0','0.8.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1.2','L')]).
% 18.46/18.82 cnf('0.146.1.0',plain,
% 18.46/18.82 ( mult(rd(mult(X1,X1),X2),ld(X1,X3)) = mult(rd(X3,X2),X1) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.146.0.0']),
% 18.46/18.82 [weight('<149,141,8,[1,0,0,3]>')]).
% 18.46/18.82 cnf('0.146.2.0',plain,
% 18.46/18.82 ( mult(rd(mult(X1,X1),X2),ld(X1,X3)) = mult(rd(X3,X2),X1) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.146.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_146]).
% 18.46/18.82 cnf('0.147.0.0',plain,
% 18.46/18.82 ( mult(X1,ld(X2,X3)) = mult(rd(X3,X1),ld(X2,mult(X1,X1))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.1.2.0','0.142.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.147.1.0',plain,
% 18.46/18.82 ( mult(X1,ld(X2,X3)) = mult(rd(X3,X1),ld(X2,mult(X1,X1))) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.147.0.0']),
% 18.46/18.82 [weight('<149,142,1,[0,0,0,2]>')]).
% 18.46/18.82 cnf('0.147.2.0',plain,
% 18.46/18.82 ( mult(rd(X1,X2),ld(X3,mult(X2,X2))) = mult(X2,ld(X3,X1)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_147]).
% 18.46/18.82 cnf('0.149.0.0',plain,
% 18.46/18.82 ( rd(mult(X1,X1),X2) = rd(X3,ld(X1,mult(rd(X3,X1),X2))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.7.2.0','0.145.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.149.1.0',plain,
% 18.46/18.82 ( rd(mult(X1,X1),X2) = rd(X3,ld(X1,mult(rd(X3,X1),X2))) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.149.0.0']),
% 18.46/18.82 [weight('<149,145,7,[0,0,0,2]>')]).
% 18.46/18.82 cnf('0.149.2.0',plain,
% 18.46/18.82 ( rd(X1,ld(X2,mult(rd(X1,X2),X3))) = rd(mult(X2,X2),X3) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.149.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_149]).
% 18.46/18.82 cnf('0.152.0.0',plain,
% 18.46/18.82 ( rd(mult(X1,X1),ld(rd(X2,X1),X3)) = rd(mult(X1,ld(X3,X2)),ld(X3,X3)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.58.2.0','0.147.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.152.0.1',plain,
% 18.46/18.82 ( rd(mult(X1,X1),ld(rd(X2,X1),X3)) = rd(X2,ld(X1,X3)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.152.0.0','0.58.2.0',theory(equality)]),
% 18.46/18.82 [pos('R','L')]).
% 18.46/18.82 cnf('0.152.1.0',plain,
% 18.46/18.82 ( rd(mult(X1,X1),ld(rd(X2,X1),X3)) = rd(X2,ld(X1,X3)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.152.0.1']),
% 18.46/18.82 [weight('<149,147,58,[0,0,0,1]>')]).
% 18.46/18.82 cnf('0.152.2.0',plain,
% 18.46/18.82 ( rd(mult(X1,X1),ld(rd(X2,X1),X3)) = rd(X2,ld(X1,X3)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_152]).
% 18.46/18.82 cnf('0.154.0.0',plain,
% 18.46/18.82 ( rd(mult(X1,X1),X2) = rd(mult(X3,X1),ld(X1,mult(X3,X2))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.149.2.0','0.3.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2.2.1','L')]).
% 18.46/18.82 cnf('0.154.1.0',plain,
% 18.46/18.82 ( rd(mult(X1,X1),X2) = rd(mult(X3,X1),ld(X1,mult(X3,X2))) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.154.0.0']),
% 18.46/18.82 [weight('<149,149,3,[1,0,0,5]>')]).
% 18.46/18.82 cnf('0.154.2.0',plain,
% 18.46/18.82 ( rd(mult(X1,X2),ld(X2,mult(X1,X3))) = rd(mult(X2,X2),X3) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.154.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_154]).
% 18.46/18.82 cnf('0.159.0.0',plain,
% 18.46/18.82 ( ld(rd(X1,ld(X2,mult(X3,X1))),X2) = ld(rd(X1,X1),mult(X3,ld(X2,X2))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.64.2.0','0.60.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.159.1.0',plain,
% 18.46/18.82 ( ld(rd(X1,ld(X2,mult(X3,X1))),X2) = ld(rd(X1,X1),mult(X3,ld(X2,X2))) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.159.0.0']),
% 18.46/18.82 [weight('<189,64,60,[1,0,0,4]>')]).
% 18.46/18.82 cnf('0.159.2.0',plain,
% 18.46/18.82 ( ld(rd(X1,ld(X2,mult(X3,X1))),X2) = ld(rd(X1,X1),mult(X3,ld(X2,X2))) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_159]).
% 18.46/18.82 cnf('0.160.0.0',plain,
% 18.46/18.82 ( ld(rd(ld(X1,mult(X2,X2)),ld(X1,mult(X2,X2))),mult(X3,ld(X2,X2))) = ld(rd(ld(X1,mult(X2,X2)),ld(X1,mult(X3,X2))),X2) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.159.2.0','0.140.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1.2','L')]).
% 18.46/18.82 cnf('0.160.0.1',plain,
% 18.46/18.82 ( ld(ld(rd(X1,X1),rd(mult(X2,X2),mult(X2,X2))),mult(X3,ld(X2,X2))) = ld(rd(ld(X1,mult(X2,X2)),ld(X1,mult(X3,X2))),X2) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.160.0.0','0.54.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.160.0.2',plain,
% 18.46/18.82 ( ld(X1,ld(rd(mult(X2,X2),mult(X2,X2)),mult(X1,mult(X3,ld(X2,X2))))) = ld(rd(ld(X1,mult(X2,X2)),ld(X1,mult(X3,X2))),X2) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.160.0.1','0.45.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.160.0.3',plain,
% 18.46/18.82 ( ld(X1,ld(X2,mult(rd(mult(X1,mult(X3,ld(X2,X2))),X2),mult(X2,X2)))) = ld(rd(ld(X1,mult(X2,X2)),ld(X1,mult(X3,X2))),X2) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.160.0.2','0.145.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.160.0.4',plain,
% 18.46/18.82 ( ld(X1,ld(X2,mult(mult(rd(X1,X2),X3),mult(X2,X2)))) = ld(rd(ld(X1,mult(X2,X2)),ld(X1,mult(X3,X2))),X2) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.160.0.3','0.17.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2.2.1','L')]).
% 18.46/18.82 cnf('0.160.0.5',plain,
% 18.46/18.82 ( ld(X1,ld(X2,mult(mult(rd(X1,X2),X3),mult(X2,X2)))) = ld(ld(rd(X1,X1),rd(mult(X2,X2),mult(X3,X2))),X2) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.160.0.4','0.54.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.1','L')]).
% 18.46/18.82 cnf('0.160.0.6',plain,
% 18.46/18.82 ( ld(X1,ld(X2,mult(mult(rd(X1,X2),X3),mult(X2,X2)))) = ld(X1,ld(rd(mult(X2,X2),mult(X3,X2)),mult(X1,X2))) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.160.0.5','0.45.2.0',theory(equality)]),
% 18.46/18.82 [pos('R','L')]).
% 18.46/18.82 cnf('0.160.0.7',plain,
% 18.46/18.82 ( ld(X1,ld(X2,mult(mult(rd(X1,X2),X3),mult(X2,X2)))) = ld(X1,ld(X2,mult(rd(mult(X1,X2),X2),mult(X3,X2)))) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.160.0.6','0.145.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.2','L')]).
% 18.46/18.82 cnf('0.160.0.8',plain,
% 18.46/18.82 ( ld(X1,ld(X2,mult(mult(rd(X1,X2),X3),mult(X2,X2)))) = ld(X1,ld(X2,mult(X1,mult(X3,X2)))) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.160.0.7','0.3.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.2.2.1','L')]).
% 18.46/18.82 cnf('0.160.1.0',plain,
% 18.46/18.82 ( mult(mult(rd(X1,X2),X3),mult(X2,X2)) = mult(X1,mult(X3,X2)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.160.0.8']),
% 18.46/18.82 [weight('<149,159,140,[1,0,0,3]>')]).
% 18.46/18.82 cnf('0.160.2.0',plain,
% 18.46/18.82 ( mult(mult(rd(X1,X2),X3),mult(X2,X2)) = mult(X1,mult(X3,X2)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_160]).
% 18.46/18.82 cnf('0.161.0.0',plain,
% 18.46/18.82 ( mult(X1,mult(ld(rd(X1,X2),X3),X2)) = mult(X3,mult(X2,X2)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.160.2.0','0.1.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.161.1.0',plain,
% 18.46/18.82 ( mult(X1,mult(ld(rd(X1,X2),X3),X2)) = mult(X3,mult(X2,X2)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.161.0.0']),
% 18.46/18.82 [weight('<149,160,1,[1,0,0,1]>')]).
% 18.46/18.82 cnf('0.161.2.0',plain,
% 18.46/18.82 ( mult(X1,mult(ld(rd(X1,X2),X3),X2)) = mult(X3,mult(X2,X2)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.161.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_161]).
% 18.46/18.82 cnf('0.162.0.0',plain,
% 18.46/18.82 ( mult(ld(rd(X1,X2),X3),X2) = ld(X1,mult(X3,mult(X2,X2))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.4.2.0','0.161.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.162.1.0',plain,
% 18.46/18.82 ( mult(ld(rd(X1,X2),X3),X2) = ld(X1,mult(X3,mult(X2,X2))) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.162.0.0']),
% 18.46/18.82 [weight('<119,161,4,[0,0,0,2]>')]).
% 18.46/18.82 cnf('0.162.2.0',plain,
% 18.46/18.82 ( mult(ld(rd(X1,X2),X3),X2) = ld(X1,mult(X3,mult(X2,X2))) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.162.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_162]).
% 18.46/18.82 cnf('0.164.0.0',plain,
% 18.46/18.82 ( ld(X1,mult(mult(rd(X2,X2),X3),mult(X2,X2))) = mult(ld(rd(X1,X3),X2),X2) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.162.2.0','0.79.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.164.0.1',plain,
% 18.46/18.82 ( ld(X1,mult(X2,mult(X3,X2))) = mult(ld(rd(X1,X3),X2),X2) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.164.0.0','0.160.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.164.1.0',plain,
% 18.46/18.82 ( ld(X1,mult(X2,mult(X3,X2))) = mult(ld(rd(X1,X3),X2),X2) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.164.0.1']),
% 18.46/18.82 [weight('<119,162,79,[1,0,0,1]>')]).
% 18.46/18.82 cnf('0.164.2.0',plain,
% 18.46/18.82 ( mult(ld(rd(X1,X2),X3),X3) = ld(X1,mult(X3,mult(X2,X3))) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.164.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_164]).
% 18.46/18.82 cnf('0.165.0.0',plain,
% 18.46/18.82 ( mult(rd(X1,X2),X3) = rd(mult(X1,mult(X3,X2)),mult(X2,X2)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.3.2.0','0.160.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.165.1.0',plain,
% 18.46/18.82 ( mult(rd(X1,X2),X3) = rd(mult(X1,mult(X3,X2)),mult(X2,X2)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.165.0.0']),
% 18.46/18.82 [weight('<149,160,3,[0,0,0,1]>')]).
% 18.46/18.82 cnf('0.165.2.0',plain,
% 18.46/18.82 ( rd(mult(X1,mult(X2,X3)),mult(X3,X3)) = mult(rd(X1,X3),X2) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.165.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_165]).
% 18.46/18.82 cnf('0.166.0.0',plain,
% 18.46/18.82 ( mult(rd(X1,X2),rd(X3,X2)) = rd(mult(X1,X3),mult(X2,X2)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.165.2.0','0.2.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1.2','L')]).
% 18.46/18.82 cnf('0.166.1.0',plain,
% 18.46/18.82 ( mult(rd(X1,X2),rd(X3,X2)) = rd(mult(X1,X3),mult(X2,X2)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.166.0.0']),
% 18.46/18.82 [weight('<119,165,2,[1,0,0,3]>')]).
% 18.46/18.82 cnf('0.166.2.0',plain,
% 18.46/18.82 ( mult(rd(X1,X2),rd(X3,X2)) = rd(mult(X1,X3),mult(X2,X2)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.166.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_166]).
% 18.46/18.82 cnf('0.170.0.0',plain,
% 18.46/18.82 ( mult(mult(X1,X1),mult(ld(X1,X2),X3)) = mult(mult(rd(X2,X3),X1),mult(X3,X3)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.160.2.0','0.146.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.170.0.1',plain,
% 18.46/18.82 ( mult(mult(X1,X1),mult(ld(X1,X2),X3)) = mult(X2,mult(X1,X3)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.170.0.0','0.160.2.0',theory(equality)]),
% 18.46/18.82 [pos('R','L')]).
% 18.46/18.82 cnf('0.170.1.0',plain,
% 18.46/18.82 ( mult(mult(X1,X1),mult(ld(X1,X2),X3)) = mult(X2,mult(X1,X3)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.170.0.1']),
% 18.46/18.82 [weight('<149,160,146,[1,0,0,1]>')]).
% 18.46/18.82 cnf('0.170.2.0',plain,
% 18.46/18.82 ( mult(mult(X1,X1),mult(ld(X1,X2),X3)) = mult(X2,mult(X1,X3)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.170.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_170]).
% 18.46/18.82 cnf('0.181.0.0',plain,
% 18.46/18.82 ( ld(rd(X1,X2),X3) = rd(ld(X1,mult(X3,mult(X2,X3))),X3) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.3.2.0','0.164.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.181.1.0',plain,
% 18.46/18.82 ( ld(rd(X1,X2),X3) = rd(ld(X1,mult(X3,mult(X2,X3))),X3) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.181.0.0']),
% 18.46/18.82 [weight('<149,164,3,[0,0,0,1]>')]).
% 18.46/18.82 cnf('0.181.2.0',plain,
% 18.46/18.82 ( rd(ld(X1,mult(X2,mult(X3,X2))),X2) = ld(rd(X1,X3),X2) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.181.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_181]).
% 18.46/18.82 cnf('0.182.0.0',plain,
% 18.46/18.82 ( ld(rd(X1,rd(X2,X3)),X3) = rd(ld(X1,mult(X3,X2)),X3) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.181.2.0','0.2.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1.2.2','L')]).
% 18.46/18.82 cnf('0.182.1.0',plain,
% 18.46/18.82 ( ld(rd(X1,rd(X2,X3)),X3) = rd(ld(X1,mult(X3,X2)),X3) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.182.0.0']),
% 18.46/18.82 [weight('<119,181,2,[1,0,0,5]>')]).
% 18.46/18.82 cnf('0.182.2.0',plain,
% 18.46/18.82 ( rd(ld(X1,mult(X2,X3)),X2) = ld(rd(X1,rd(X3,X2)),X2) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.182.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_182]).
% 18.46/18.82 cnf('0.187.0.0',plain,
% 18.46/18.82 ( rd(mult(mult(X1,X2),X3),mult(X2,X2)) = mult(X1,rd(X3,X2)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.166.2.0','0.3.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.187.1.0',plain,
% 18.46/18.82 ( rd(mult(mult(X1,X2),X3),mult(X2,X2)) = mult(X1,rd(X3,X2)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.187.0.0']),
% 18.46/18.82 [weight('<149,166,3,[1,0,0,1]>')]).
% 18.46/18.82 cnf('0.187.2.0',plain,
% 18.46/18.82 ( rd(mult(mult(X1,X2),X3),mult(X2,X2)) = mult(X1,rd(X3,X2)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_187]).
% 18.46/18.82 cnf('0.196.0.0',plain,
% 18.46/18.82 ( mult(X1,mult(X2,ld(ld(X2,X1),X3))) = mult(mult(X2,X2),X3) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.170.2.0','0.1.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.196.1.0',plain,
% 18.46/18.82 ( mult(X1,mult(X2,ld(ld(X2,X1),X3))) = mult(mult(X2,X2),X3) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.196.0.0']),
% 18.46/18.82 [weight('<149,170,1,[1,0,0,4]>')]).
% 18.46/18.82 cnf('0.196.2.0',plain,
% 18.46/18.82 ( mult(X1,mult(X2,ld(ld(X2,X1),X3))) = mult(mult(X2,X2),X3) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.196.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_196]).
% 18.46/18.82 cnf('0.197.0.0',plain,
% 18.46/18.82 ( mult(X1,ld(ld(X1,X2),X3)) = ld(X2,mult(mult(X1,X1),X3)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.4.2.0','0.196.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.197.1.0',plain,
% 18.46/18.82 ( mult(X1,ld(ld(X1,X2),X3)) = ld(X2,mult(mult(X1,X1),X3)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.197.0.0']),
% 18.46/18.82 [weight('<119,196,4,[0,0,0,2]>')]).
% 18.46/18.82 cnf('0.197.2.0',plain,
% 18.46/18.82 ( mult(X1,ld(ld(X1,X2),X3)) = ld(X2,mult(mult(X1,X1),X3)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.197.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_197]).
% 18.46/18.82 cnf('0.218.0.0',plain,
% 18.46/18.82 ( ld(rd(X1,rd(ld(X2,mult(X1,X3)),X3)),X3) = rd(ld(X2,mult(X3,X3)),X3) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.182.2.0','0.143.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.218.0.1',plain,
% 18.46/18.82 ( ld(rd(X1,rd(ld(X2,mult(X1,X3)),X3)),X3) = ld(rd(X2,rd(X3,X3)),X3) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.218.0.0','0.182.2.0',theory(equality)]),
% 18.46/18.82 [pos('R','L')]).
% 18.46/18.82 cnf('0.218.1.0',plain,
% 18.46/18.82 ( rd(X1,rd(ld(X2,mult(X1,X3)),X3)) = rd(X2,rd(X3,X3)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.218.0.1']),
% 18.46/18.82 [weight('<149,182,143,[1,0,0,1]>')]).
% 18.46/18.82 cnf('0.218.2.0',plain,
% 18.46/18.82 ( rd(X1,rd(ld(X2,mult(X1,X3)),X3)) = rd(X2,rd(X3,X3)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.218.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_218]).
% 18.46/18.82 cnf('0.219.0.0',plain,
% 18.46/18.82 ( rd(ld(X1,mult(X2,X3)),X3) = ld(rd(X1,rd(X3,X3)),X2) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.8.2.0','0.218.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.219.1.0',plain,
% 18.46/18.82 ( rd(ld(X1,mult(X2,X3)),X3) = ld(rd(X1,rd(X3,X3)),X2) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.219.0.0']),
% 18.46/18.82 [weight('<119,218,8,[0,0,0,1]>')]).
% 18.46/18.82 cnf('0.219.2.0',plain,
% 18.46/18.82 ( rd(ld(X1,mult(X2,X3)),X3) = ld(rd(X1,rd(X3,X3)),X2) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.219.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_219]).
% 18.46/18.82 cnf('0.233.0.0',plain,
% 18.46/18.82 ( rd(mult(mult(X1,X2),X3),mult(X2,X2)) = rd(mult(mult(X1,rd(mult(X1,X2),X2)),X3),mult(X1,X2)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.139.2.0','0.187.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1.1','L')]).
% 18.46/18.82 cnf('0.233.0.1',plain,
% 18.46/18.82 ( mult(X1,rd(X3,X2)) = rd(mult(mult(X1,rd(mult(X1,X2),X2)),X3),mult(X1,X2)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.233.0.0','0.187.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.233.0.2',plain,
% 18.46/18.82 ( mult(X1,rd(X3,X2)) = rd(mult(mult(X1,X1),X3),mult(X1,X2)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.233.0.1','0.3.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.1.1.2','L')]).
% 18.46/18.82 cnf('0.233.1.0',plain,
% 18.46/18.82 ( mult(X1,rd(X3,X2)) = rd(mult(mult(X1,X1),X3),mult(X1,X2)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.233.0.2']),
% 18.46/18.82 [weight('<149,187,139,[0,0,0,2]>')]).
% 18.46/18.82 cnf('0.233.2.0',plain,
% 18.46/18.82 ( rd(mult(mult(X1,X1),X2),mult(X1,X3)) = mult(X1,rd(X2,X3)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.233.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_233]).
% 18.46/18.82 cnf('0.234.0.0',plain,
% 18.46/18.82 ( mult(X1,rd(X2,ld(X1,X3))) = rd(mult(mult(X1,X1),X2),X3) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.233.2.0','0.1.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.234.1.0',plain,
% 18.46/18.82 ( mult(X1,rd(X2,ld(X1,X3))) = rd(mult(mult(X1,X1),X2),X3) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.234.0.0']),
% 18.46/18.82 [weight('<119,233,1,[1,0,0,6]>')]).
% 18.46/18.82 cnf('0.234.2.0',plain,
% 18.46/18.82 ( mult(X1,rd(X2,ld(X1,X3))) = rd(mult(mult(X1,X1),X2),X3) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.234.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_234]).
% 18.46/18.82 cnf('0.245.0.0',plain,
% 18.46/18.82 ( ld(ld(X1,X2),X3) = ld(X1,ld(X2,mult(mult(X1,X1),X3))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.4.2.0','0.197.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.245.1.0',plain,
% 18.46/18.82 ( ld(ld(X1,X2),X3) = ld(X1,ld(X2,mult(mult(X1,X1),X3))) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.245.0.0']),
% 18.46/18.82 [weight('<149,197,4,[0,0,0,2]>')]).
% 18.46/18.82 cnf('0.245.2.0',plain,
% 18.46/18.82 ( ld(X1,ld(X2,mult(mult(X1,X1),X3))) = ld(ld(X1,X2),X3) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.245.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_245]).
% 18.46/18.82 cnf('0.247.0.0',plain,
% 18.46/18.82 ( ld(X1,mult(mult(rd(X2,X3),rd(X2,X3)),mult(X3,X3))) = mult(X3,ld(ld(rd(X2,X3),X1),X2)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.197.2.0','0.147.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.247.0.1',plain,
% 18.46/18.82 ( ld(X1,mult(X2,mult(rd(X2,X3),X3))) = mult(X3,ld(ld(rd(X2,X3),X1),X2)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.247.0.0','0.160.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.247.0.2',plain,
% 18.46/18.82 ( ld(X1,mult(X2,X2)) = mult(X3,ld(ld(rd(X2,X3),X1),X2)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.247.0.1','0.2.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2.2','L')]).
% 18.46/18.82 cnf('0.247.1.0',plain,
% 18.46/18.82 ( ld(X1,mult(X2,X2)) = mult(X3,ld(ld(rd(X2,X3),X1),X2)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.247.0.2']),
% 18.46/18.82 [weight('<149,197,147,[1,0,0,0]>')]).
% 18.46/18.82 cnf('0.247.2.0',plain,
% 18.46/18.82 ( mult(X1,ld(ld(rd(X2,X1),X3),X2)) = ld(X3,mult(X2,X2)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.247.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_247]).
% 18.46/18.82 cnf('0.248.0.0',plain,
% 18.46/18.82 ( ld(ld(rd(X1,X2),X3),X1) = ld(X2,ld(X3,mult(X1,X1))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.4.2.0','0.247.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.248.1.0',plain,
% 18.46/18.82 ( ld(ld(rd(X1,X2),X3),X1) = ld(X2,ld(X3,mult(X1,X1))) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.248.0.0']),
% 18.46/18.82 [weight('<119,247,4,[0,0,0,2]>')]).
% 18.46/18.82 cnf('0.248.2.0',plain,
% 18.46/18.82 ( ld(ld(rd(X1,X2),X3),X1) = ld(X2,ld(X3,mult(X1,X1))) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.248.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_248]).
% 18.46/18.82 cnf('0.278.0.0',plain,
% 18.46/18.82 ( ld(X1,mult(X2,X3)) = mult(ld(rd(X1,rd(X3,X3)),X2),X3) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.2.2.0','0.219.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.278.1.0',plain,
% 18.46/18.82 ( ld(X1,mult(X2,X3)) = mult(ld(rd(X1,rd(X3,X3)),X2),X3) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.278.0.0']),
% 18.46/18.82 [weight('<149,219,2,[0,0,0,1]>')]).
% 18.46/18.82 cnf('0.278.2.0',plain,
% 18.46/18.82 ( mult(ld(rd(X1,rd(X2,X2)),X3),X2) = ld(X1,mult(X3,X2)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.278.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_278]).
% 18.46/18.82 cnf('0.297.0.0',plain,
% 18.46/18.82 ( rd(X1,ld(X2,X3)) = ld(X2,rd(mult(mult(X2,X2),X1),X3)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.4.2.0','0.234.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.297.1.0',plain,
% 18.46/18.82 ( rd(X1,ld(X2,X3)) = ld(X2,rd(mult(mult(X2,X2),X1),X3)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.297.0.0']),
% 18.46/18.82 [weight('<149,234,4,[0,0,0,2]>')]).
% 18.46/18.82 cnf('0.297.2.0',plain,
% 18.46/18.82 ( ld(X1,rd(mult(mult(X1,X1),X2),X3)) = rd(X2,ld(X1,X3)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.297.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_297]).
% 18.46/18.82 cnf('0.298.0.0',plain,
% 18.46/18.82 ( rd(X1,ld(X2,ld(X1,mult(mult(X2,X2),X3)))) = ld(X2,rd(mult(X1,X1),X3)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.297.2.0','0.154.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.298.0.1',plain,
% 18.46/18.82 ( rd(X1,ld(ld(X2,X1),X3)) = ld(X2,rd(mult(X1,X1),X3)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.298.0.0','0.245.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.298.1.0',plain,
% 18.46/18.82 ( rd(X1,ld(ld(X2,X1),X3)) = ld(X2,rd(mult(X1,X1),X3)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.298.0.1']),
% 18.46/18.82 [weight('<119,297,154,[1,0,0,2]>')]).
% 18.46/18.82 cnf('0.298.2.0',plain,
% 18.46/18.82 ( rd(X1,ld(ld(X2,X1),X3)) = ld(X2,rd(mult(X1,X1),X3)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.298.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_298]).
% 18.46/18.82 cnf('0.299.0.0',plain,
% 18.46/18.82 ( rd(mult(mult(X1,X1),mult(X2,ld(X1,X3))),X2) = mult(X1,rd(X3,ld(X2,X2))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.234.2.0','0.41.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.299.0.1',plain,
% 18.46/18.82 ( rd(mult(mult(X1,X1),mult(X2,ld(X1,X3))),X2) = rd(mult(mult(X1,X2),X3),X2) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.299.0.0','0.12.2.0',theory(equality)]),
% 18.46/18.82 [pos('R','L')]).
% 18.46/18.82 cnf('0.299.1.0',plain,
% 18.46/18.82 ( mult(mult(X1,X1),mult(X2,ld(X1,X3))) = mult(mult(X1,X2),X3) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.299.0.1']),
% 18.46/18.82 [weight('<149,234,41,[1,0,0,2]>')]).
% 18.46/18.82 cnf('0.299.2.0',plain,
% 18.46/18.82 ( mult(mult(X1,X1),mult(X2,ld(X1,X3))) = mult(mult(X1,X2),X3) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.299.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_299]).
% 18.46/18.82 cnf('0.348.0.0',plain,
% 18.46/18.82 ( ld(ld(X1,X2),X3) = ld(ld(X1,rd(mult(X2,X2),X3)),X2) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.8.2.0','0.298.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.348.1.0',plain,
% 18.46/18.82 ( ld(ld(X1,X2),X3) = ld(ld(X1,rd(mult(X2,X2),X3)),X2) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.348.0.0']),
% 18.46/18.82 [weight('<149,298,8,[0,0,0,1]>')]).
% 18.46/18.82 cnf('0.348.2.0',plain,
% 18.46/18.82 ( ld(ld(X1,rd(mult(X2,X2),X3)),X2) = ld(ld(X1,X2),X3) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.348.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_348]).
% 18.46/18.82 cnf('0.388.0.0',plain,
% 18.46/18.82 ( mult(rd(X1,ld(X2,X3)),ld(X2,X4)) = mult(rd(ld(X2,X3),ld(X2,X3)),ld(ld(rd(X2,X2),rd(X3,X4)),X1)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.67.2.0','0.54.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2.1','L')]).
% 18.46/18.82 cnf('0.388.0.1',plain,
% 18.46/18.82 ( mult(rd(X1,ld(X2,X3)),ld(X2,X4)) = mult(ld(rd(X2,X2),rd(X3,X3)),ld(ld(rd(X2,X2),rd(X3,X4)),X1)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.388.0.0','0.54.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.1','L')]).
% 18.46/18.82 cnf('0.388.0.2',plain,
% 18.46/18.82 ( mult(rd(X1,ld(X2,X3)),ld(X2,X4)) = ld(X2,mult(rd(X3,X3),mult(X2,ld(ld(rd(X2,X2),rd(X3,X4)),X1)))) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.388.0.1','0.63.2.0',theory(equality)]),
% 18.46/18.82 [pos('R','L')]).
% 18.46/18.82 cnf('0.388.0.3',plain,
% 18.46/18.82 ( mult(rd(X1,ld(X2,X3)),ld(X2,X4)) = ld(X2,mult(rd(X3,X3),mult(X2,ld(X2,ld(rd(X3,X4),mult(X2,X1)))))) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.388.0.2','0.45.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.2.2.2','L')]).
% 18.46/18.82 cnf('0.388.0.4',plain,
% 18.46/18.82 ( mult(rd(X1,ld(X2,X3)),ld(X2,X4)) = ld(X2,mult(rd(X3,X3),ld(rd(X3,X4),mult(X2,X1)))) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.388.0.3','0.1.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.2.2','L')]).
% 18.46/18.82 cnf('0.388.0.5',plain,
% 18.46/18.82 ( mult(rd(X1,ld(X2,X3)),ld(X2,X4)) = ld(X2,mult(rd(mult(X2,X1),X3),X4)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.388.0.4','0.67.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.2','L')]).
% 18.46/18.82 cnf('0.388.1.0',plain,
% 18.46/18.82 ( mult(rd(X1,ld(X2,X3)),ld(X2,X4)) = ld(X2,mult(rd(mult(X2,X1),X3),X4)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.388.0.5']),
% 18.46/18.82 [weight('<189,67,54,[1,0,0,5]>')]).
% 18.46/18.82 cnf('0.388.2.0',plain,
% 18.46/18.82 ( mult(rd(X1,ld(X2,X3)),ld(X2,X4)) = ld(X2,mult(rd(mult(X2,X1),X3),X4)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.388.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_388]).
% 18.46/18.82 cnf('0.440.0.0',plain,
% 18.46/18.82 ( ld(X1,mult(rd(mult(X1,X2),X3),X4)) = ld(rd(X1,X4),mult(X1,ld(X1,mult(rd(X1,X3),X2)))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.57.2.0','0.118.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.440.0.1',plain,
% 18.46/18.82 ( ld(X1,mult(rd(mult(X1,X2),X3),X4)) = ld(rd(X1,X4),mult(rd(X1,X3),X2)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.440.0.0','0.1.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.2','L')]).
% 18.46/18.82 cnf('0.440.1.0',plain,
% 18.46/18.82 ( ld(X1,mult(rd(mult(X1,X2),X3),X4)) = ld(rd(X1,X4),mult(rd(X1,X3),X2)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.440.0.1']),
% 18.46/18.82 [weight('<189,118,57,[0,0,0,4]>')]).
% 18.46/18.82 cnf('0.440.2.0',plain,
% 18.46/18.82 ( ld(rd(X1,X2),mult(rd(X1,X3),X4)) = ld(X1,mult(rd(mult(X1,X4),X3),X2)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.440.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_440]).
% 18.46/18.82 cnf('0.477.0.0',plain,
% 18.46/18.82 ( ld(mult(rd(X1,X1),X2),mult(X3,X3)) = ld(X1,mult(X3,mult(X1,ld(X2,X3)))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.143.2.0','0.39.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2.2','L')]).
% 18.46/18.82 cnf('0.477.1.0',plain,
% 18.46/18.82 ( ld(mult(rd(X1,X1),X2),mult(X3,X3)) = ld(X1,mult(X3,mult(X1,ld(X2,X3)))) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.477.0.0']),
% 18.46/18.82 [weight('<189,143,39,[1,0,0,4]>')]).
% 18.46/18.82 cnf('0.477.2.0',plain,
% 18.46/18.82 ( ld(mult(rd(X1,X1),X2),mult(X3,X3)) = ld(X1,mult(X3,mult(X1,ld(X2,X3)))) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.477.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_477]).
% 18.46/18.82 cnf('0.480.0.0',plain,
% 18.46/18.82 ( mult(X1,ld(X2,ld(X3,mult(X2,X1)))) = mult(rd(ld(X3,mult(X2,X1)),ld(X3,mult(X2,X1))),ld(X3,mult(X1,X1))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.83.2.0','0.143.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.480.0.1',plain,
% 18.46/18.82 ( mult(X1,ld(X2,ld(X3,mult(X2,X1)))) = mult(ld(rd(X3,X3),rd(mult(X2,X1),mult(X2,X1))),ld(X3,mult(X1,X1))) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.480.0.0','0.54.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.1','L')]).
% 18.46/18.82 cnf('0.480.0.2',plain,
% 18.46/18.82 ( mult(X1,ld(X2,ld(X3,mult(X2,X1)))) = ld(X3,mult(rd(mult(X2,X1),mult(X2,X1)),mult(X3,ld(X3,mult(X1,X1))))) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.480.0.1','0.63.2.0',theory(equality)]),
% 18.46/18.82 [pos('R','L')]).
% 18.46/18.82 cnf('0.480.0.3',plain,
% 18.46/18.82 ( mult(X1,ld(X2,ld(X3,mult(X2,X1)))) = ld(X3,mult(X2,mult(rd(X1,X1),ld(X2,mult(X3,ld(X3,mult(X1,X1))))))) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.480.0.2','0.104.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.2','L')]).
% 18.46/18.82 cnf('0.480.0.4',plain,
% 18.46/18.82 ( mult(X1,ld(X2,ld(X3,mult(X2,X1)))) = ld(X3,mult(X2,mult(rd(X1,X1),ld(X2,mult(X1,X1))))) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.480.0.3','0.1.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.2.2.2.2','L')]).
% 18.46/18.82 cnf('0.480.0.5',plain,
% 18.46/18.82 ( mult(X1,ld(X2,ld(X3,mult(X2,X1)))) = ld(X3,mult(X2,mult(X1,ld(X2,X1)))) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.480.0.4','0.83.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.2.2','L')]).
% 18.46/18.82 cnf('0.480.1.0',plain,
% 18.46/18.82 ( mult(X1,ld(X2,ld(X3,mult(X2,X1)))) = ld(X3,mult(X2,mult(X1,ld(X2,X1)))) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.480.0.5']),
% 18.46/18.82 [weight('<189,143,83,[0,0,0,4]>')]).
% 18.46/18.82 cnf('0.480.2.0',plain,
% 18.46/18.82 ( mult(X1,ld(X2,ld(X3,mult(X2,X1)))) = ld(X3,mult(X2,mult(X1,ld(X2,X1)))) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.480.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_480]).
% 18.46/18.82 cnf('0.483.0.0',plain,
% 18.46/18.82 ( ld(mult(rd(X1,X1),X2),mult(X1,mult(X3,ld(X1,X3)))) = mult(X3,ld(X1,mult(X1,ld(X2,X3)))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.480.2.0','0.39.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2.2','L')]).
% 18.46/18.82 cnf('0.483.0.1',plain,
% 18.46/18.82 ( mult(X1,ld(X2,mult(X3,ld(X1,X3)))) = mult(X3,ld(X1,mult(X1,ld(X2,X3)))) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.483.0.0','0.39.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.483.0.2',plain,
% 18.46/18.82 ( mult(X1,ld(X2,mult(X3,ld(X1,X3)))) = mult(X3,ld(X2,X3)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.483.0.1','0.4.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.2','L')]).
% 18.46/18.82 cnf('0.483.1.0',plain,
% 18.46/18.82 ( mult(X1,ld(X2,mult(X3,ld(X1,X3)))) = mult(X3,ld(X2,X3)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.483.0.2']),
% 18.46/18.82 [weight('<149,480,39,[1,0,0,4]>')]).
% 18.46/18.82 cnf('0.483.2.0',plain,
% 18.46/18.82 ( mult(X1,ld(X2,mult(X3,ld(X1,X3)))) = mult(X3,ld(X2,X3)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.483.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_483]).
% 18.46/18.82 cnf('0.485.0.0',plain,
% 18.46/18.82 ( mult(X1,ld(ld(X2,X3),X1)) = ld(X3,mult(mult(X2,X2),mult(X1,ld(X2,X1)))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.483.2.0','0.197.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.485.0.1',plain,
% 18.46/18.82 ( mult(X1,ld(ld(X2,X3),X1)) = ld(X3,mult(mult(X2,X1),X1)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.485.0.0','0.299.2.0',theory(equality)]),
% 18.46/18.82 [pos('R.2','L')]).
% 18.46/18.82 cnf('0.485.1.0',plain,
% 18.46/18.82 ( mult(X1,ld(ld(X2,X3),X1)) = ld(X3,mult(mult(X2,X1),X1)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.485.0.1']),
% 18.46/18.82 [weight('<119,483,197,[1,0,0,0]>')]).
% 18.46/18.82 cnf('0.485.2.0',plain,
% 18.46/18.82 ( mult(X1,ld(ld(X2,X3),X1)) = ld(X3,mult(mult(X2,X1),X1)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.485.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_485]).
% 18.46/18.82 cnf('0.489.0.0',plain,
% 18.46/18.82 ( ld(rd(mult(X1,X1),X2),mult(mult(X3,X1),X1)) = mult(X1,ld(ld(X3,X1),X2)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.485.2.0','0.348.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.489.0.1',plain,
% 18.46/18.82 ( ld(X1,mult(rd(mult(mult(X3,X1),X1),X1),X2)) = mult(X1,ld(ld(X3,X1),X2)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.489.0.0','0.145.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.489.0.2',plain,
% 18.46/18.82 ( ld(X1,mult(mult(X3,X1),X2)) = mult(X1,ld(ld(X3,X1),X2)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.489.0.1','0.3.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2.1','L')]).
% 18.46/18.82 cnf('0.489.1.0',plain,
% 18.46/18.82 ( ld(X1,mult(mult(X3,X1),X2)) = mult(X1,ld(ld(X3,X1),X2)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.489.0.2']),
% 18.46/18.82 [weight('<119,485,348,[1,0,0,2]>')]).
% 18.46/18.82 cnf('0.489.2.0',plain,
% 18.46/18.82 ( mult(X1,ld(ld(X2,X1),X3)) = ld(X1,mult(mult(X2,X1),X3)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.489.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_489]).
% 18.46/18.82 cnf('0.496.0.0',plain,
% 18.46/18.82 ( ld(X1,mult(mult(rd(X2,X3),X1),X2)) = mult(X1,ld(X3,ld(X1,mult(X2,X2)))) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.489.2.0','0.248.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.496.0.1',plain,
% 18.46/18.82 ( ld(X1,mult(mult(rd(X2,X3),X1),X2)) = ld(mult(rd(X1,X1),X3),mult(X2,X2)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.496.0.0','0.38.2.0',theory(equality)]),
% 18.46/18.82 [pos('R','L')]).
% 18.46/18.82 cnf('0.496.0.2',plain,
% 18.46/18.82 ( ld(X1,mult(mult(rd(X2,X3),X1),X2)) = ld(X1,mult(X2,mult(X1,ld(X3,X2)))) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.496.0.1','0.477.2.0',theory(equality)]),
% 18.46/18.82 [pos('R','L')]).
% 18.46/18.82 cnf('0.496.1.0',plain,
% 18.46/18.82 ( mult(mult(rd(X2,X3),X1),X2) = mult(X2,mult(X1,ld(X3,X2))) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.496.0.2']),
% 18.46/18.82 [weight('<119,489,248,[1,0,0,2]>')]).
% 18.46/18.82 cnf('0.496.2.0',plain,
% 18.46/18.82 ( mult(mult(rd(X1,X2),X3),X1) = mult(X1,mult(X3,ld(X2,X1))) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.496.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_496]).
% 18.46/18.82 cnf('0.544.0.0',plain,
% 18.46/18.82 ( mult(rd(X1,X2),X3) = rd(mult(X1,mult(X3,ld(X2,X1))),X1) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.3.2.0','0.496.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.544.1.0',plain,
% 18.46/18.82 ( mult(rd(X1,X2),X3) = rd(mult(X1,mult(X3,ld(X2,X1))),X1) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.544.0.0']),
% 18.46/18.82 [weight('<149,496,3,[0,0,0,1]>')]).
% 18.46/18.82 cnf('0.544.2.0',plain,
% 18.46/18.82 ( rd(mult(X1,mult(X2,ld(X3,X1))),X1) = mult(rd(X1,X3),X2) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.544.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_544]).
% 18.46/18.82 cnf('0.545.0.0',plain,
% 18.46/18.82 ( mult(rd(X1,rd(X1,X2)),X3) = rd(mult(X1,mult(X3,X2)),X1) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.544.2.0','0.8.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1.2.2','L')]).
% 18.46/18.82 cnf('0.545.1.0',plain,
% 18.46/18.82 ( mult(rd(X1,rd(X1,X2)),X3) = rd(mult(X1,mult(X3,X2)),X1) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.545.0.0']),
% 18.46/18.82 [weight('<119,544,8,[1,0,0,5]>')]).
% 18.46/18.82 cnf('0.545.2.0',plain,
% 18.46/18.82 ( mult(rd(X1,rd(X1,X2)),X3) = rd(mult(X1,mult(X3,X2)),X1) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.545.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_545]).
% 18.46/18.82 cnf('0.546.0.0',plain,
% 18.46/18.82 ( rd(mult(X1,mult(ld(rd(X1,X1),X2),X3)),X1) = mult(rd(X2,rd(X1,X3)),X1) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.545.2.0','0.69.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.546.0.1',plain,
% 18.46/18.82 ( rd(mult(X1,ld(X1,mult(X2,mult(X1,X3)))),X1) = mult(rd(X2,rd(X1,X3)),X1) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.546.0.0','0.63.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1.2','L')]).
% 18.46/18.82 cnf('0.546.0.2',plain,
% 18.46/18.82 ( rd(mult(X2,mult(X1,X3)),X1) = mult(rd(X2,rd(X1,X3)),X1) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.546.0.1','0.1.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.546.1.0',plain,
% 18.46/18.82 ( rd(mult(X2,mult(X1,X3)),X1) = mult(rd(X2,rd(X1,X3)),X1) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.546.0.2']),
% 18.46/18.82 [weight('<119,545,69,[1,0,0,0]>')]).
% 18.46/18.82 cnf('0.546.2.0',plain,
% 18.46/18.82 ( mult(rd(X1,rd(X2,X3)),X2) = rd(mult(X1,mult(X2,X3)),X2) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.546.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_546]).
% 18.46/18.82 cnf('0.632.0.0',plain,
% 18.46/18.82 ( mult(rd(X1,ld(rd(X2,X3),X4)),X3) = mult(rd(X2,ld(X3,X4)),ld(X3,X1)) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.146.2.0','0.152.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.632.1.0',plain,
% 18.46/18.82 ( mult(rd(X1,ld(rd(X2,X3),X4)),X3) = mult(rd(X2,ld(X3,X4)),ld(X3,X1)) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.632.0.0']),
% 18.46/18.82 [weight('<189,152,146,[0,0,0,1]>')]).
% 18.46/18.82 cnf('0.632.1.1',plain,
% 18.46/18.82 ( mult(rd(X1,ld(rd(X2,X3),X4)),X3) = ld(X3,mult(rd(mult(X3,X2),X4),X1)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.632.1.0','0.388.2.0',theory(equality)]),
% 18.46/18.82 [pos('R','L')]).
% 18.46/18.82 cnf('0.632.2.0',plain,
% 18.46/18.82 ( mult(rd(X1,ld(rd(X2,X3),X4)),X3) = ld(X3,mult(rd(mult(X3,X2),X4),X1)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.632.1.1',theory(equality)]),
% 18.46/18.82 [u,rule_632]).
% 18.46/18.82 cnf('0.843.0.0',plain,
% 18.46/18.82 ( ld(rd(X1,X1),mult(rd(mult(rd(X1,X1),X2),X3),X1)) = mult(rd(X2,ld(rd(X1,X1),X3)),X1) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.278.2.0','0.55.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.843.0.1',plain,
% 18.46/18.82 ( ld(rd(X1,X1),mult(rd(X1,X3),X2)) = mult(rd(X2,ld(rd(X1,X1),X3)),X1) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.843.0.0','0.74.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.843.1.0',plain,
% 18.46/18.82 ( ld(rd(X1,X1),mult(rd(X1,X3),X2)) = mult(rd(X2,ld(rd(X1,X1),X3)),X1) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.843.0.1']),
% 18.46/18.82 [weight('<189,278,55,[1,0,0,1]>')]).
% 18.46/18.82 cnf('0.843.1.1',plain,
% 18.46/18.82 ( ld(X1,mult(rd(mult(X1,X2),X3),X1)) = mult(rd(X2,ld(rd(X1,X1),X3)),X1) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.843.1.0','0.440.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.843.1.2',plain,
% 18.46/18.82 ( ld(X1,mult(rd(mult(X1,X2),X3),X1)) = ld(X1,mult(rd(mult(X1,X1),X3),X2)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.843.1.1','0.632.2.0',theory(equality)]),
% 18.46/18.82 [pos('R','L')]).
% 18.46/18.82 cnf('0.843.2.0',plain,
% 18.46/18.82 ( mult(rd(mult(X1,X2),X3),X1) = mult(rd(mult(X1,X1),X3),X2) ),
% 18.46/18.82 inference(activate,[status(thm)],['0.843.1.2']),
% 18.46/18.82 [equation_7]).
% 18.46/18.82 cnf('0.1444.0.0',plain,
% 18.46/18.82 ( rd(mult(mult(X1,X1),mult(ld(X1,X2),X3)),ld(X1,X2)) = mult(rd(X2,rd(ld(X1,X2),X3)),X1) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.546.2.0','0.146.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('0.1444.0.1',plain,
% 18.46/18.82 ( rd(mult(X2,mult(X1,X3)),ld(X1,X2)) = mult(rd(X2,rd(ld(X1,X2),X3)),X1) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.1444.0.0','0.170.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1','L')]).
% 18.46/18.82 cnf('0.1444.1.0',plain,
% 18.46/18.82 ( rd(mult(X2,mult(X1,X3)),ld(X1,X2)) = mult(rd(X2,rd(ld(X1,X2),X3)),X1) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.1444.0.1']),
% 18.46/18.82 [weight('<189,546,146,[1,0,0,0]>')]).
% 18.46/18.82 cnf('0.1444.2.0',plain,
% 18.46/18.82 ( mult(rd(X1,rd(ld(X2,X1),X3)),X2) = rd(mult(X1,mult(X2,X3)),ld(X2,X1)) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.1444.1.0',theory(equality)]),
% 18.46/18.82 [x,rule_1418]).
% 18.46/18.82 cnf('0.1839.0.0',plain,
% 18.46/18.82 ( mult(rd(mult(X1,X2),rd(X2,X3)),X1) = rd(mult(mult(X1,X1),mult(X2,X3)),X2) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.843.2.0','0.546.2.0',theory(equality)]),
% 18.46/18.82 [pos('R','L')]).
% 18.46/18.82 cnf('0.1839.1.0',plain,
% 18.46/18.82 ( mult(rd(mult(X1,X2),rd(X2,X3)),X1) = rd(mult(mult(X1,X1),mult(X2,X3)),X2) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.1839.0.0']),
% 18.46/18.82 [weight('<189,843,546,[1,1,0,0]>')]).
% 18.46/18.82 cnf('0.1839.2.0',plain,
% 18.46/18.82 ( mult(rd(mult(X1,X2),rd(X2,X3)),X1) = rd(mult(mult(X1,X1),mult(X2,X3)),X2) ),
% 18.46/18.82 inference(orient,[status(thm)],['0.1839.1.0',theory(equality)]),
% 18.46/18.82 [u,rule_1789]).
% 18.46/18.82 cnf('0.2408.0.0',plain,
% 18.46/18.82 ( rd(mult(mult(X1,X2),mult(X1,X3)),ld(X1,mult(X1,X2))) = mult(rd(mult(X1,X2),rd(X2,X3)),X1) ),
% 18.46/18.82 inference(cp,[status(thm)],['0.1444.2.0','0.4.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.1.2.1','L')]).
% 18.46/18.82 cnf('0.2408.0.1',plain,
% 18.46/18.82 ( rd(mult(mult(X1,X2),mult(X1,X3)),X2) = mult(rd(mult(X1,X2),rd(X2,X3)),X1) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.2408.0.0','0.4.2.0',theory(equality)]),
% 18.46/18.82 [pos('L.2','L')]).
% 18.46/18.82 cnf('0.2408.1.0',plain,
% 18.46/18.82 ( rd(mult(mult(X1,X2),mult(X1,X3)),X2) = mult(rd(mult(X1,X2),rd(X2,X3)),X1) ),
% 18.46/18.82 inference(weigh,[status(thm)],['0.2408.0.1']),
% 18.46/18.82 [weight('<189,1444,4,[1,0,0,4]>')]).
% 18.46/18.82 cnf('0.2408.1.1',plain,
% 18.46/18.82 ( rd(mult(mult(X1,X2),mult(X1,X3)),X2) = rd(mult(mult(X1,X1),mult(X2,X3)),X2) ),
% 18.46/18.82 inference(reduction,[status(thm)],['0.2408.1.0','0.1839.2.0',theory(equality)]),
% 18.46/18.82 [pos('R','L')]).
% 18.46/18.82 cnf('0.2408.2.0',plain,
% 18.46/18.82 ( mult(mult(X1,X2),mult(X1,X3)) = mult(mult(X1,X1),mult(X2,X3)) ),
% 18.46/18.82 inference(activate,[status(thm)],['0.2408.1.1']),
% 18.46/18.82 [equation_78]).
% 18.46/18.82 cnf('1.0.0.0',conjecture,
% 18.46/18.82 ( mult(mult(a,b),mult(a,c)) = mult(mult(a,a),mult(b,c)) ),
% 18.46/18.82 file('/tmp/WALDMEISTER_10647_n025',conjecture_1)).
% 18.46/18.82 cnf('1.0.0.1',plain,
% 18.46/18.82 ( mult(mult(a,a),mult(b,c)) = mult(mult(a,a),mult(b,c)) ),
% 18.46/18.82 inference(reduction,[status(thm)],['1.0.0.0','0.2408.2.0',theory(equality)]),
% 18.46/18.82 [pos('L','L')]).
% 18.46/18.82 cnf('1.0.0.2',plain,
% 18.46/18.82 ( $true ),
% 18.46/18.82 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 18.46/18.82 [conjecture_1]).
% 18.46/18.82
% 18.46/18.82 Proved Goals:
% 18.46/18.82 No. 1: mult(mult(a,b),mult(a,c)) ?= mult(mult(a,a),mult(b,c)) joined, current: mult(mult(a,a),mult(b,c)) = mult(mult(a,a),mult(b,c))
% 18.46/18.82 1 goal was specified, which was proved.
% 18.46/18.82 % SZS output end CNFRefutation
% 18.46/18.82 #END OF PROOF
% 18.46/18.82
% 18.46/18.82 Problem WALDMEISTER_10647_n025
% 18.46/18.82 CPs.gen 3272097
% 18.46/18.82 CPs.reexp 0
% 18.46/18.82 Select 6622
% 18.46/18.82 R 2330
% 18.46/18.82 E 78
% 18.46/18.82 vsize 9.8M
% 18.46/18.82 rss 5.3M
% 18.46/18.82 process.time 17.766s
% 18.46/18.82 wallclock.time 17.769s
% 18.46/18.82 status S
% 18.46/18.82
% 18.46/18.82
% 18.46/18.82 Waldmeister states: Goal proved.
% 18.46/18.82 % SZS status Unsatisfiable
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