TSTP Solution File: GRP654-11 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP654-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 12:27:32 EDT 2022
% Result : Unsatisfiable 1.86s 2.26s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP654-11 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % Command : woody %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 07:35:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.60/0.98 ********************************************************************************
% 0.60/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/0.98 * |/ | \/ | *
% 0.60/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/0.98 * A. Jaeger and B. Loechner | | *
% 0.60/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/0.98 ********************************************************************************
% 0.60/0.98
% 0.60/0.98
% 0.60/0.98 Goals:
% 0.60/0.98 ------
% 0.60/0.98
% 0.60/0.98 ( 1) mult(x0,rd(x1,x1)) ?=? x0
% 0.60/0.98
% 0.60/0.98 Detected structure: Quasigruppe
% 0.60/0.98 ********************************************************************************
% 0.60/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.60/0.98 ********************************************************************************
% 0.60/0.98
% 1.86/2.26 joined goal: 1 mult(x0,rd(x1,x1)) ?= x0 to x0
% 1.86/2.26 goal joined
% 1.86/2.26 % SZS status Unsatisfiable
% 1.86/2.26 #START OF PROOF
% 1.86/2.26 % SZS output start CNFRefutation
% 1.86/2.26 cnf('0.1.0.0',axiom,
% 1.86/2.26 ( X1 = mult(X2,ld(X2,X1)) ),
% 1.86/2.26 file('/tmp/WALDMEISTER_23458_n019')).
% 1.86/2.26 cnf('0.1.1.0',plain,
% 1.86/2.26 ( X1 = mult(X2,ld(X2,X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.86/2.26 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.1.2.0',plain,
% 1.86/2.26 ( mult(X1,ld(X1,X2)) = X2 ),
% 1.86/2.26 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_1]).
% 1.86/2.26 cnf('0.2.0.0',axiom,
% 1.86/2.26 ( X1 = mult(rd(X1,X2),X2) ),
% 1.86/2.26 file('/tmp/WALDMEISTER_23458_n019')).
% 1.86/2.26 cnf('0.2.1.0',plain,
% 1.86/2.26 ( X1 = mult(rd(X1,X2),X2) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.2.0.0']),
% 1.86/2.26 [weight('<1,0,0,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.2.2.0',plain,
% 1.86/2.26 ( mult(rd(X1,X2),X2) = X1 ),
% 1.86/2.26 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_2]).
% 1.86/2.26 cnf('0.3.0.0',axiom,
% 1.86/2.26 ( X1 = rd(mult(X1,X2),X2) ),
% 1.86/2.26 file('/tmp/WALDMEISTER_23458_n019')).
% 1.86/2.26 cnf('0.3.1.0',plain,
% 1.86/2.26 ( X1 = rd(mult(X1,X2),X2) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.86/2.26 [weight('<2,0,0,[0,0,0,3]>')]).
% 1.86/2.26 cnf('0.3.2.0',plain,
% 1.86/2.26 ( rd(mult(X1,X2),X2) = X1 ),
% 1.86/2.26 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_3]).
% 1.86/2.26 cnf('0.4.0.0',axiom,
% 1.86/2.26 ( X1 = ld(X2,mult(X2,X1)) ),
% 1.86/2.26 file('/tmp/WALDMEISTER_23458_n019')).
% 1.86/2.26 cnf('0.4.1.0',plain,
% 1.86/2.26 ( X1 = ld(X2,mult(X2,X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.4.0.0']),
% 1.86/2.26 [weight('<3,0,0,[0,0,0,4]>')]).
% 1.86/2.26 cnf('0.4.2.0',plain,
% 1.86/2.26 ( ld(X1,mult(X1,X2)) = X2 ),
% 1.86/2.26 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_4]).
% 1.86/2.26 cnf('0.5.0.0',axiom,
% 1.86/2.26 ( mult(X1,mult(X2,mult(X1,X3))) = mult(mult(mult(X1,X2),X1),X3) ),
% 1.86/2.26 file('/tmp/WALDMEISTER_23458_n019')).
% 1.86/2.26 cnf('0.5.1.0',plain,
% 1.86/2.26 ( mult(X1,mult(X2,mult(X1,X3))) = mult(mult(mult(X1,X2),X1),X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.5.0.0']),
% 1.86/2.26 [weight('<4,0,0,[0,0,0,5]>')]).
% 1.86/2.26 cnf('0.5.2.0',plain,
% 1.86/2.26 ( mult(mult(mult(X1,X2),X1),X3) = mult(X1,mult(X2,mult(X1,X3))) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_5]).
% 1.86/2.26 cnf('0.6.0.0',plain,
% 1.86/2.26 ( X1 = rd(X2,ld(X1,X2)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.6.1.0',plain,
% 1.86/2.26 ( X1 = rd(X2,ld(X1,X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.6.0.0']),
% 1.86/2.26 [weight('<41,3,1,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.6.2.0',plain,
% 1.86/2.26 ( rd(X1,ld(X2,X1)) = X2 ),
% 1.86/2.26 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_6]).
% 1.86/2.26 cnf('0.7.0.0',plain,
% 1.86/2.26 ( X1 = ld(rd(X2,X1),X2) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.7.1.0',plain,
% 1.86/2.26 ( X1 = ld(rd(X2,X1),X2) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.7.0.0']),
% 1.86/2.26 [weight('<41,4,2,[1,0,0,2]>')]).
% 1.86/2.26 cnf('0.7.2.0',plain,
% 1.86/2.26 ( ld(rd(X1,X2),X1) = X2 ),
% 1.86/2.26 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_7]).
% 1.86/2.26 cnf('0.8.0.0',plain,
% 1.86/2.26 ( mult(X1,mult(ld(X1,X2),mult(X1,X3))) = mult(mult(X2,X1),X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.1','L')]).
% 1.86/2.26 cnf('0.8.1.0',plain,
% 1.86/2.26 ( mult(X1,mult(ld(X1,X2),mult(X1,X3))) = mult(mult(X2,X1),X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.8.0.0']),
% 1.86/2.26 [weight('<149,5,1,[1,0,0,2]>')]).
% 1.86/2.26 cnf('0.8.2.0',plain,
% 1.86/2.26 ( mult(X1,mult(ld(X1,X2),mult(X1,X3))) = mult(mult(X2,X1),X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_8]).
% 1.86/2.26 cnf('0.9.0.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),ld(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.8.2.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2','L')]).
% 1.86/2.26 cnf('0.9.1.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),ld(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.9.0.0']),
% 1.86/2.26 [weight('<119,8,1,[1,0,0,6]>')]).
% 1.86/2.26 cnf('0.9.2.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),ld(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_9]).
% 1.86/2.26 cnf('0.10.0.0',plain,
% 1.86/2.26 ( mult(ld(X1,X2),mult(X1,X3)) = ld(X1,mult(mult(X2,X1),X3)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.4.2.0','0.8.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.10.1.0',plain,
% 1.86/2.26 ( mult(ld(X1,X2),mult(X1,X3)) = ld(X1,mult(mult(X2,X1),X3)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.10.0.0']),
% 1.86/2.26 [weight('<119,8,4,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.10.2.0',plain,
% 1.86/2.26 ( mult(ld(X1,X2),mult(X1,X3)) = ld(X1,mult(mult(X2,X1),X3)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_10]).
% 1.86/2.26 cnf('0.11.0.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),X1) = rd(mult(X1,mult(X2,mult(X1,X3))),X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.3.2.0','0.5.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.11.1.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),X1) = rd(mult(X1,mult(X2,mult(X1,X3))),X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.11.0.0']),
% 1.86/2.26 [weight('<149,5,3,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.11.2.0',plain,
% 1.86/2.26 ( rd(mult(X1,mult(X2,mult(X1,X3))),X3) = mult(mult(X1,X2),X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_11]).
% 1.86/2.26 cnf('0.12.0.0',plain,
% 1.86/2.26 ( mult(X1,mult(ld(X1,rd(X2,X1)),X3)) = mult(X2,ld(X1,X3)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.9.2.0','0.2.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.12.1.0',plain,
% 1.86/2.26 ( mult(X1,mult(ld(X1,rd(X2,X1)),X3)) = mult(X2,ld(X1,X3)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.12.0.0']),
% 1.86/2.26 [weight('<149,9,2,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.12.2.0',plain,
% 1.86/2.26 ( mult(X1,mult(ld(X1,rd(X2,X1)),X3)) = mult(X2,ld(X1,X3)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_12]).
% 1.86/2.26 cnf('0.13.0.0',plain,
% 1.86/2.26 ( mult(ld(X1,rd(X2,X1)),X3) = ld(X1,mult(X2,ld(X1,X3))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.4.2.0','0.12.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.13.1.0',plain,
% 1.86/2.26 ( mult(ld(X1,rd(X2,X1)),X3) = ld(X1,mult(X2,ld(X1,X3))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.13.0.0']),
% 1.86/2.26 [weight('<119,12,4,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.13.2.0',plain,
% 1.86/2.26 ( mult(ld(X1,rd(X2,X1)),X3) = ld(X1,mult(X2,ld(X1,X3))) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_13]).
% 1.86/2.26 cnf('0.14.0.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),X1) = rd(mult(X1,mult(X2,X3)),ld(X1,X3)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.11.2.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2.2','L')]).
% 1.86/2.26 cnf('0.14.1.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),X1) = rd(mult(X1,mult(X2,X3)),ld(X1,X3)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.14.0.0']),
% 1.86/2.26 [weight('<149,11,1,[1,0,0,5]>')]).
% 1.86/2.26 cnf('0.14.2.0',plain,
% 1.86/2.26 ( rd(mult(X1,mult(X2,X3)),ld(X1,X3)) = mult(mult(X1,X2),X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_14]).
% 1.86/2.26 cnf('0.15.0.0',plain,
% 1.86/2.26 ( mult(mult(X1,rd(X2,X3)),X1) = rd(mult(X1,X2),ld(X1,X3)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.14.2.0','0.2.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2','L')]).
% 1.86/2.26 cnf('0.15.1.0',plain,
% 1.86/2.26 ( mult(mult(X1,rd(X2,X3)),X1) = rd(mult(X1,X2),ld(X1,X3)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.15.0.0']),
% 1.86/2.26 [weight('<119,14,2,[1,0,0,3]>')]).
% 1.86/2.26 cnf('0.15.2.0',plain,
% 1.86/2.26 ( mult(mult(X1,rd(X2,X3)),X1) = rd(mult(X1,X2),ld(X1,X3)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_15]).
% 1.86/2.26 cnf('0.16.0.0',plain,
% 1.86/2.26 ( ld(X1,rd(X2,X1)) = rd(ld(X1,mult(X2,ld(X1,X3))),X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.3.2.0','0.13.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.16.1.0',plain,
% 1.86/2.26 ( ld(X1,rd(X2,X1)) = rd(ld(X1,mult(X2,ld(X1,X3))),X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.16.0.0']),
% 1.86/2.26 [weight('<149,13,3,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.16.2.0',plain,
% 1.86/2.26 ( rd(ld(X1,mult(X2,ld(X1,X3))),X3) = ld(X1,rd(X2,X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_16]).
% 1.86/2.26 cnf('0.17.0.0',plain,
% 1.86/2.26 ( ld(X1,rd(X1,X1)) = rd(ld(X1,X2),X2) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.16.2.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2','L')]).
% 1.86/2.26 cnf('0.17.1.0',plain,
% 1.86/2.26 ( ld(X1,rd(X1,X1)) = rd(ld(X1,X2),X2) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.17.0.0']),
% 1.86/2.26 [weight('<120,16,1,[1,0,0,3]>')]).
% 1.86/2.26 cnf('0.17.2.0',plain,
% 1.86/2.26 ( ld(X1,rd(X1,X1)) = rd(ld(X1,X2),X2) ),
% 1.86/2.26 inference(activate,[status(thm)],['0.17.1.0']),
% 1.86/2.26 [equation_1]).
% 1.86/2.26 cnf('0.17.2.1',plain,
% 1.86/2.26 ( ld(X1,rd(X1,X1)) = rd(ld(X1,x1),x1) ),
% 1.86/2.26 inference(instr,[status(thm)],['0.17.2.0',theory(equality)])).
% 1.86/2.26 cnf('0.18.0.0',plain,
% 1.86/2.26 ( rd(X1,X1) = mult(X1,rd(ld(X1,X2),X2)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.1.2.0','0.17.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.18.1.0',plain,
% 1.86/2.26 ( rd(X1,X1) = mult(X1,rd(ld(X1,X2),X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.18.0.0']),
% 1.86/2.26 [weight('<87,17,1,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.18.2.0',plain,
% 1.86/2.26 ( mult(X1,rd(ld(X1,X2),X2)) = rd(X1,X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_17]).
% 1.86/2.26 cnf('0.19.0.0',plain,
% 1.86/2.26 ( ld(X1,mult(X1,ld(X1,X2))) = mult(rd(ld(X1,X3),X3),X2) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.13.2.0','0.17.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.19.0.1',plain,
% 1.86/2.26 ( ld(X1,X2) = mult(rd(ld(X1,X3),X3),X2) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.19.0.0','0.4.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.19.1.0',plain,
% 1.86/2.26 ( ld(X1,X2) = mult(rd(ld(X1,X3),X3),X2) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.19.0.1']),
% 1.86/2.26 [weight('<87,17,13,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.19.2.0',plain,
% 1.86/2.26 ( mult(rd(ld(X1,X2),X2),X3) = ld(X1,X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_18]).
% 1.86/2.26 cnf('0.20.0.0',plain,
% 1.86/2.26 ( ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.19.2.0','0.7.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.1','L')]).
% 1.86/2.26 cnf('0.20.1.0',plain,
% 1.86/2.26 ( ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.20.0.0']),
% 1.86/2.26 [weight('<65,19,7,[1,0,0,2]>')]).
% 1.86/2.26 cnf('0.20.2.0',plain,
% 1.86/2.26 ( mult(rd(X1,X2),X3) = ld(rd(X2,X1),X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_19]).
% 1.86/2.26 cnf('0.21.0.0',plain,
% 1.86/2.26 ( rd(X1,X1) = mult(X1,rd(X2,mult(X1,X2))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.18.2.0','0.4.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.1','L')]).
% 1.86/2.26 cnf('0.21.1.0',plain,
% 1.86/2.26 ( rd(X1,X1) = mult(X1,rd(X2,mult(X1,X2))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.21.0.0']),
% 1.86/2.26 [weight('<87,18,4,[1,0,0,3]>')]).
% 1.86/2.26 cnf('0.21.2.0',plain,
% 1.86/2.26 ( mult(X1,rd(X2,mult(X1,X2))) = rd(X1,X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_20]).
% 1.86/2.26 cnf('0.22.0.0',plain,
% 1.86/2.26 ( rd(X1,X2) = rd(ld(rd(X2,X1),X3),X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.3.2.0','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.22.1.0',plain,
% 1.86/2.26 ( rd(X1,X2) = rd(ld(rd(X2,X1),X3),X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.22.0.0']),
% 1.86/2.26 [weight('<87,20,3,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.22.2.0',plain,
% 1.86/2.26 ( rd(ld(rd(X1,X2),X3),X3) = rd(X2,X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_21]).
% 1.86/2.26 cnf('0.23.0.0',plain,
% 1.86/2.26 ( ld(rd(X1,mult(X2,X1)),X3) = mult(X2,X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.23.1.0',plain,
% 1.86/2.26 ( ld(rd(X1,mult(X2,X1)),X3) = mult(X2,X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.23.0.0']),
% 1.86/2.26 [weight('<87,20,3,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.23.2.0',plain,
% 1.86/2.26 ( ld(rd(X1,mult(X2,X1)),X3) = mult(X2,X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_22]).
% 1.86/2.26 cnf('0.24.0.0',plain,
% 1.86/2.26 ( ld(rd(ld(X1,X2),X2),X3) = mult(X1,X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.20.2.0','0.6.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.24.1.0',plain,
% 1.86/2.26 ( ld(rd(ld(X1,X2),X2),X3) = mult(X1,X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.24.0.0']),
% 1.86/2.26 [weight('<87,20,6,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.24.2.0',plain,
% 1.86/2.26 ( ld(rd(ld(X1,X2),X2),X3) = mult(X1,X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_23]).
% 1.86/2.26 cnf('0.25.0.0',plain,
% 1.86/2.26 ( mult(X1,X2) = ld(ld(X1,rd(X1,X1)),X2) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.24.2.0','0.17.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','R')]).
% 1.86/2.26 cnf('0.25.1.0',plain,
% 1.86/2.26 ( mult(X1,X2) = ld(ld(X1,rd(X1,X1)),X2) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.25.0.0']),
% 1.86/2.26 [weight('<87,24,17,[1,0,1,1]>')]).
% 1.86/2.26 cnf('0.25.2.0',plain,
% 1.86/2.26 ( ld(ld(X1,rd(X1,X1)),X2) = mult(X1,X2) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_24]).
% 1.86/2.26 cnf('0.27.0.0',plain,
% 1.86/2.26 ( ld(rd(X1,X2),ld(rd(X2,X1),X3)) = X3 ),
% 1.86/2.26 inference(cp,[status(thm)],['0.20.2.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.27.1.0',plain,
% 1.86/2.26 ( ld(rd(X1,X2),ld(rd(X2,X1),X3)) = X3 ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.27.0.0']),
% 1.86/2.26 [weight('<109,20,1,[1,0,0,0]>')]).
% 1.86/2.26 cnf('0.27.2.0',plain,
% 1.86/2.26 ( ld(rd(X1,X2),ld(rd(X2,X1),X3)) = X3 ),
% 1.86/2.26 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_26]).
% 1.86/2.26 cnf('0.28.0.0',plain,
% 1.86/2.26 ( X1 = rd(rd(X1,X1),rd(X2,mult(X1,X2))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.3.2.0','0.21.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.28.1.0',plain,
% 1.86/2.26 ( X1 = rd(rd(X1,X1),rd(X2,mult(X1,X2))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.28.0.0']),
% 1.86/2.26 [weight('<109,21,3,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.28.2.0',plain,
% 1.86/2.26 ( rd(rd(X1,X1),rd(X2,mult(X1,X2))) = X1 ),
% 1.86/2.26 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_27]).
% 1.86/2.26 cnf('0.30.0.0',plain,
% 1.86/2.26 ( ld(X1,rd(X1,X1)) = rd(X2,mult(X1,X2)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.17.2.0','0.4.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1','L')]).
% 1.86/2.26 cnf('0.30.1.0',plain,
% 1.86/2.26 ( ld(X1,rd(X1,X1)) = rd(X2,mult(X1,X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.30.0.0']),
% 1.86/2.26 [weight('<120,17,4,[1,1,0,1]>')]).
% 1.86/2.26 cnf('0.30.2.0',plain,
% 1.86/2.26 ( ld(X1,rd(X1,X1)) = rd(X2,mult(X1,X2)) ),
% 1.86/2.26 inference(activate,[status(thm)],['0.30.1.0']),
% 1.86/2.26 [equation_2]).
% 1.86/2.26 cnf('0.30.2.1',plain,
% 1.86/2.26 ( ld(X1,rd(X1,X1)) = rd(x1,mult(X1,x1)) ),
% 1.86/2.26 inference(instr,[status(thm)],['0.30.2.0',theory(equality)])).
% 1.86/2.26 cnf('0.32.0.0',plain,
% 1.86/2.26 ( rd(X1,mult(X2,X1)) = rd(ld(X2,X3),X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.22.2.0','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.1','L')]).
% 1.86/2.26 cnf('0.32.1.0',plain,
% 1.86/2.26 ( rd(X1,mult(X2,X1)) = rd(ld(X2,X3),X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.32.0.0']),
% 1.86/2.26 [weight('<120,22,3,[1,0,0,2]>')]).
% 1.86/2.26 cnf('0.32.2.0',plain,
% 1.86/2.26 ( rd(X1,mult(X2,X1)) = rd(ld(X2,X3),X3) ),
% 1.86/2.26 inference(activate,[status(thm)],['0.32.1.0']),
% 1.86/2.26 [equation_4]).
% 1.86/2.26 cnf('0.32.2.1',plain,
% 1.86/2.26 ( rd(X1,mult(X2,X1)) = rd(ld(X2,x1),x1) ),
% 1.86/2.26 inference(instr,[status(thm)],['0.32.2.0',theory(equality)])).
% 1.86/2.26 cnf('0.32.2.2',plain,
% 1.86/2.26 ( rd(x1,mult(X1,x1)) = rd(ld(X1,X2),X2) ),
% 1.86/2.26 inference(instl,[status(thm)],['0.32.2.0',theory(equality)])).
% 1.86/2.26 cnf('0.33.0.0',plain,
% 1.86/2.26 ( rd(X1,mult(X2,X1)) = rd(X3,mult(X2,X3)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.6.2.0','0.23.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.33.1.0',plain,
% 1.86/2.26 ( rd(X1,mult(X2,X1)) = rd(X3,mult(X2,X3)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.33.0.0']),
% 1.86/2.26 [weight('<120,23,6,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.33.2.0',plain,
% 1.86/2.26 ( rd(X1,mult(X2,X1)) = rd(X3,mult(X2,X3)) ),
% 1.86/2.26 inference(activate,[status(thm)],['0.33.1.0']),
% 1.86/2.26 [equation_5]).
% 1.86/2.26 cnf('0.33.2.1',plain,
% 1.86/2.26 ( rd(X1,mult(X2,X1)) = rd(x1,mult(X2,x1)) ),
% 1.86/2.26 inference(instr,[status(thm)],['0.33.2.0',theory(equality)])).
% 1.86/2.26 cnf('0.33.2.2',plain,
% 1.86/2.26 ( rd(x1,mult(X2,x1)) = rd(X1,mult(X2,X1)) ),
% 1.86/2.26 inference(instl,[status(thm)],['0.33.2.0',theory(equality)])).
% 1.86/2.26 cnf('0.34.0.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),X1) = rd(mult(X1,X3),ld(X1,ld(X2,X3))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.14.2.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2','L')]).
% 1.86/2.26 cnf('0.34.1.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),X1) = rd(mult(X1,X3),ld(X1,ld(X2,X3))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.34.0.0']),
% 1.86/2.26 [weight('<149,14,1,[1,0,0,3]>')]).
% 1.86/2.26 cnf('0.34.2.0',plain,
% 1.86/2.26 ( rd(mult(X1,X2),ld(X1,ld(X3,X2))) = mult(mult(X1,X3),X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_29]).
% 1.86/2.26 cnf('0.35.0.0',plain,
% 1.86/2.26 ( mult(X1,rd(X2,X3)) = rd(rd(mult(X1,X2),ld(X1,X3)),X1) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.3.2.0','0.15.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.35.1.0',plain,
% 1.86/2.26 ( mult(X1,rd(X2,X3)) = rd(rd(mult(X1,X2),ld(X1,X3)),X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.35.0.0']),
% 1.86/2.26 [weight('<149,15,3,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.35.2.0',plain,
% 1.86/2.26 ( rd(rd(mult(X1,X2),ld(X1,X3)),X1) = mult(X1,rd(X2,X3)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_30]).
% 1.86/2.26 cnf('0.36.0.0',plain,
% 1.86/2.26 ( mult(X1,rd(ld(X1,X2),X3)) = rd(rd(X2,ld(X1,X3)),X1) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.35.2.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.1','L')]).
% 1.86/2.26 cnf('0.36.1.0',plain,
% 1.86/2.26 ( mult(X1,rd(ld(X1,X2),X3)) = rd(rd(X2,ld(X1,X3)),X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.36.0.0']),
% 1.86/2.26 [weight('<119,35,1,[1,0,0,2]>')]).
% 1.86/2.26 cnf('0.36.2.0',plain,
% 1.86/2.26 ( mult(X1,rd(ld(X1,X2),X3)) = rd(rd(X2,ld(X1,X3)),X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_31]).
% 1.86/2.26 cnf('0.37.0.0',plain,
% 1.86/2.26 ( mult(X1,rd(X2,mult(X1,X3))) = rd(rd(mult(X1,X2),X3),X1) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.35.2.0','0.4.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2','L')]).
% 1.86/2.26 cnf('0.37.1.0',plain,
% 1.86/2.26 ( mult(X1,rd(X2,mult(X1,X3))) = rd(rd(mult(X1,X2),X3),X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.37.0.0']),
% 1.86/2.26 [weight('<119,35,4,[1,0,0,5]>')]).
% 1.86/2.26 cnf('0.37.2.0',plain,
% 1.86/2.26 ( mult(X1,rd(X2,mult(X1,X3))) = rd(rd(mult(X1,X2),X3),X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_32]).
% 1.86/2.26 cnf('0.39.0.0',plain,
% 1.86/2.26 ( ld(rd(X1,mult(X2,X1)),rd(X3,rd(X1,mult(X2,X1)))) = rd(mult(X2,mult(X3,ld(rd(X1,mult(X2,X1)),X4))),X4) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.16.2.0','0.23.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.39.0.1',plain,
% 1.86/2.26 ( mult(X2,rd(X3,rd(X1,mult(X2,X1)))) = rd(mult(X2,mult(X3,ld(rd(X1,mult(X2,X1)),X4))),X4) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.39.0.0','0.23.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.39.0.2',plain,
% 1.86/2.26 ( mult(X2,rd(X3,rd(X1,mult(X2,X1)))) = rd(mult(X2,mult(X3,mult(X2,X4))),X4) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.39.0.1','0.23.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1.2.2','L')]).
% 1.86/2.26 cnf('0.39.0.3',plain,
% 1.86/2.26 ( mult(X2,rd(X3,rd(X1,mult(X2,X1)))) = mult(mult(X2,X3),X2) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.39.0.2','0.11.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.39.1.0',plain,
% 1.86/2.26 ( mult(X2,rd(X3,rd(X1,mult(X2,X1)))) = mult(mult(X2,X3),X2) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.39.0.3']),
% 1.86/2.26 [weight('<149,23,16,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.39.2.0',plain,
% 1.86/2.26 ( mult(X1,rd(X2,rd(X3,mult(X1,X3)))) = mult(mult(X1,X2),X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_34]).
% 1.86/2.26 cnf('0.40.0.0',plain,
% 1.86/2.26 ( mult(mult(X1,rd(X1,X1)),X1) = mult(X1,X1) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.39.2.0','0.28.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.40.0.1',plain,
% 1.86/2.26 ( rd(mult(X1,X1),ld(X1,X1)) = mult(X1,X1) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.40.0.0','0.15.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.40.1.0',plain,
% 1.86/2.26 ( rd(mult(X1,X1),ld(X1,X1)) = mult(X1,X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.40.0.1']),
% 1.86/2.26 [weight('<87,39,28,[1,0,0,2]>')]).
% 1.86/2.26 cnf('0.40.2.0',plain,
% 1.86/2.26 ( rd(mult(X1,X1),ld(X1,X1)) = mult(X1,X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_35]).
% 1.86/2.26 cnf('0.41.0.0',plain,
% 1.86/2.26 ( mult(X1,rd(X1,X1)) = rd(mult(X1,X1),X1) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.35.2.0','0.40.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.41.0.1',plain,
% 1.86/2.26 ( mult(X1,rd(X1,X1)) = X1 ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.41.0.0','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.41.1.0',plain,
% 1.86/2.26 ( mult(X1,rd(X1,X1)) = X1 ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.41.0.1']),
% 1.86/2.26 [weight('<41,40,35,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.41.2.0',plain,
% 1.86/2.26 ( mult(X1,rd(X1,X1)) = X1 ),
% 1.86/2.26 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_36]).
% 1.86/2.26 cnf('0.42.0.0',plain,
% 1.86/2.26 ( rd(X1,X1) = ld(X1,X1) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.4.2.0','0.41.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.42.1.0',plain,
% 1.86/2.26 ( rd(X1,X1) = ld(X1,X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.42.0.0']),
% 1.86/2.26 [weight('<27,41,4,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.42.2.0',plain,
% 1.86/2.26 ( rd(X1,X1) = ld(X1,X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_37]).
% 1.86/2.26 cnf('0.43.0.0',plain,
% 1.86/2.26 ( X1 = ld(ld(X1,X1),X1) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.7.2.0','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.43.1.0',plain,
% 1.86/2.26 ( X1 = ld(ld(X1,X1),X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.43.0.0']),
% 1.86/2.26 [weight('<41,42,7,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.43.2.0',plain,
% 1.86/2.26 ( ld(ld(X1,X1),X1) = X1 ),
% 1.86/2.26 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_38]).
% 1.86/2.26 cnf('0.45.0.0',plain,
% 1.86/2.26 ( ld(rd(X1,X1),X2) = mult(ld(X1,X1),X2) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.20.2.0','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.45.0.1',plain,
% 1.86/2.26 ( ld(ld(X1,X1),X2) = mult(ld(X1,X1),X2) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.45.0.0','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.45.1.0',plain,
% 1.86/2.26 ( ld(ld(X1,X1),X2) = mult(ld(X1,X1),X2) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.45.0.1']),
% 1.86/2.26 [weight('<65,42,20,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.45.2.0',plain,
% 1.86/2.26 ( mult(ld(X1,X1),X2) = ld(ld(X1,X1),X2) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_40]).
% 1.86/2.26 cnf('0.46.0.0',plain,
% 1.86/2.26 ( ld(ld(X1,rd(X1,X1)),X2) = mult(X1,X2) ),
% 1.86/2.26 inference(interreduction_right,[status(thm)],['0.25.2.0'])).
% 1.86/2.26 cnf('0.46.0.1',plain,
% 1.86/2.26 ( ld(ld(X1,ld(X1,X1)),X2) = mult(X1,X2) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.46.0.0','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2','L')]).
% 1.86/2.26 cnf('0.46.1.0',plain,
% 1.86/2.26 ( ld(ld(X1,ld(X1,X1)),X2) = mult(X1,X2) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.46.0.1']),
% 1.86/2.26 [weight('<87,25,42,[0,0,0,0]>')]).
% 1.86/2.26 cnf('0.46.2.0',plain,
% 1.86/2.26 ( ld(ld(X1,ld(X1,X1)),X2) = mult(X1,X2) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_41]).
% 1.86/2.26 cnf('0.48.0.0',plain,
% 1.86/2.26 ( ld(X1,mult(X1,ld(X1,X2))) = mult(ld(X1,ld(X1,X1)),X2) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.13.2.0','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2','L')]).
% 1.86/2.26 cnf('0.48.0.1',plain,
% 1.86/2.26 ( ld(X1,X2) = mult(ld(X1,ld(X1,X1)),X2) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.48.0.0','0.4.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.48.1.0',plain,
% 1.86/2.26 ( ld(X1,X2) = mult(ld(X1,ld(X1,X1)),X2) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.48.0.1']),
% 1.86/2.26 [weight('<87,42,13,[0,0,0,3]>')]).
% 1.86/2.26 cnf('0.48.2.0',plain,
% 1.86/2.26 ( mult(ld(X1,ld(X1,X1)),X2) = ld(X1,X2) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_43]).
% 1.86/2.26 cnf('0.53.0.0',plain,
% 1.86/2.26 ( rd(rd(X1,X1),rd(X2,mult(X1,X2))) = X1 ),
% 1.86/2.26 inference(interreduction_right,[status(thm)],['0.28.2.0'])).
% 1.86/2.26 cnf('0.53.0.1',plain,
% 1.86/2.26 ( rd(ld(X1,X1),rd(X2,mult(X1,X2))) = X1 ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.53.0.0','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.53.1.0',plain,
% 1.86/2.26 ( rd(ld(X1,X1),rd(X2,mult(X1,X2))) = X1 ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.53.0.1']),
% 1.86/2.26 [weight('<109,28,42,[0,0,0,0]>')]).
% 1.86/2.26 cnf('0.53.2.0',plain,
% 1.86/2.26 ( rd(ld(X1,X1),rd(X2,mult(X1,X2))) = X1 ),
% 1.86/2.26 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_48]).
% 1.86/2.26 cnf('0.54.0.0',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = rd(mult(X1,ld(X1,ld(X1,X1))),rd(X2,mult(ld(X1,ld(X1,X1)),X2))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.53.2.0','0.46.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.54.0.1',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = rd(ld(X1,X1),rd(X2,mult(ld(X1,ld(X1,X1)),X2))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.54.0.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1','L')]).
% 1.86/2.26 cnf('0.54.0.2',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = rd(ld(X1,X1),rd(X2,ld(X1,X2))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.54.0.1','0.48.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2','L')]).
% 1.86/2.26 cnf('0.54.0.3',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = rd(ld(X1,X1),X1) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.54.0.2','0.6.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2','L')]).
% 1.86/2.26 cnf('0.54.1.0',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = rd(ld(X1,X1),X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.54.0.3']),
% 1.86/2.26 [weight('<65,53,46,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.54.1.1',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = rd(x1,mult(X1,x1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.54.1.0','0.32.2.2',theory(equality)]),
% 1.86/2.26 [pos('R','R')]).
% 1.86/2.26 cnf('0.54.2.0',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = rd(x1,mult(X1,x1)) ),
% 1.86/2.26 inference(activate,[status(thm)],['0.54.1.1']),
% 1.86/2.26 [equation_6]).
% 1.86/2.26 cnf('0.55.0.0',plain,
% 1.86/2.26 ( X1 = ld(ld(X2,X2),ld(rd(X2,X2),X1)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.27.2.0','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.55.0.1',plain,
% 1.86/2.26 ( X1 = ld(ld(X2,X2),ld(ld(X2,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.55.0.0','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.1','L')]).
% 1.86/2.26 cnf('0.55.1.0',plain,
% 1.86/2.26 ( X1 = ld(ld(X2,X2),ld(ld(X2,X2),X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.55.0.1']),
% 1.86/2.26 [weight('<109,42,27,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.55.2.0',plain,
% 1.86/2.26 ( ld(ld(X1,X1),ld(ld(X1,X1),X2)) = X2 ),
% 1.86/2.26 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_49]).
% 1.86/2.26 cnf('0.57.0.0',plain,
% 1.86/2.26 ( rd(mult(X1,X2),ld(X1,X2)) = mult(mult(X1,ld(X2,X2)),X1) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.15.2.0','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2','L')]).
% 1.86/2.26 cnf('0.57.1.0',plain,
% 1.86/2.26 ( rd(mult(X1,X2),ld(X1,X2)) = mult(mult(X1,ld(X2,X2)),X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.57.0.0']),
% 1.86/2.26 [weight('<119,42,15,[0,0,0,3]>')]).
% 1.86/2.26 cnf('0.57.2.0',plain,
% 1.86/2.26 ( mult(mult(X1,ld(X2,X2)),X1) = rd(mult(X1,X2),ld(X1,X2)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_51]).
% 1.86/2.26 cnf('0.58.0.0',plain,
% 1.86/2.26 ( ld(ld(X1,X1),mult(mult(X1,ld(X1,X1)),X2)) = mult(X1,mult(ld(X1,X1),X2)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.10.2.0','0.43.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.58.0.1',plain,
% 1.86/2.26 ( ld(ld(X1,X1),mult(X1,X2)) = mult(X1,mult(ld(X1,X1),X2)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.58.0.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.1','L')]).
% 1.86/2.26 cnf('0.58.1.0',plain,
% 1.86/2.26 ( ld(ld(X1,X1),mult(X1,X2)) = mult(X1,mult(ld(X1,X1),X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.58.0.1']),
% 1.86/2.26 [weight('<119,43,10,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.58.1.1',plain,
% 1.86/2.26 ( ld(ld(X1,X1),mult(X1,X2)) = mult(X1,ld(ld(X1,X1),X2)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.58.1.0','0.45.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2','L')]).
% 1.86/2.26 cnf('0.58.2.0',plain,
% 1.86/2.26 ( mult(X1,ld(ld(X1,X1),X2)) = ld(ld(X1,X1),mult(X1,X2)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.58.1.1',theory(equality)]),
% 1.86/2.26 [x,rule_52]).
% 1.86/2.26 cnf('0.59.0.0',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X1,X1)),ld(X1,ld(X1,X1))) = mult(ld(ld(X1,X1),mult(X1,ld(X1,X1))),X1) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.57.2.0','0.58.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.59.0.1',plain,
% 1.86/2.26 ( rd(X1,ld(X1,ld(X1,X1))) = mult(ld(ld(X1,X1),mult(X1,ld(X1,X1))),X1) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.59.0.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.59.0.2',plain,
% 1.86/2.26 ( rd(X1,ld(X1,ld(X1,X1))) = mult(ld(ld(X1,X1),X1),X1) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.59.0.1','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1.2','L')]).
% 1.86/2.26 cnf('0.59.0.3',plain,
% 1.86/2.26 ( rd(X1,ld(X1,ld(X1,X1))) = mult(X1,X1) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.59.0.2','0.43.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1','L')]).
% 1.86/2.26 cnf('0.59.1.0',plain,
% 1.86/2.26 ( rd(X1,ld(X1,ld(X1,X1))) = mult(X1,X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.59.0.3']),
% 1.86/2.26 [weight('<87,58,57,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.59.2.0',plain,
% 1.86/2.26 ( rd(X1,ld(X1,ld(X1,X1))) = mult(X1,X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_53]).
% 1.86/2.26 cnf('0.61.0.0',plain,
% 1.86/2.26 ( mult(X1,X1) = rd(X1,rd(x1,mult(X1,x1))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.59.2.0','0.54.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.61.1.0',plain,
% 1.86/2.26 ( mult(X1,X1) = rd(X1,rd(x1,mult(X1,x1))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.61.0.0']),
% 1.86/2.26 [weight('<87,59,54,[1,0,0,2]>')]).
% 1.86/2.26 cnf('0.61.2.0',plain,
% 1.86/2.26 ( rd(X1,rd(x1,mult(X1,x1))) = mult(X1,X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_55]).
% 1.86/2.26 cnf('0.62.0.0',plain,
% 1.86/2.26 ( mult(X1,X1) = rd(X1,rd(X2,mult(X1,X2))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.61.2.0','0.33.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.62.1.0',plain,
% 1.86/2.26 ( mult(X1,X1) = rd(X1,rd(X2,mult(X1,X2))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.62.0.0']),
% 1.86/2.26 [weight('<87,61,33,[1,0,0,2]>')]).
% 1.86/2.26 cnf('0.62.2.0',plain,
% 1.86/2.26 ( rd(X1,rd(X2,mult(X1,X2))) = mult(X1,X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_56]).
% 1.86/2.26 cnf('0.66.0.0',plain,
% 1.86/2.26 ( mult(rd(X1,mult(X2,X1)),rd(X1,mult(X2,X1))) = rd(rd(X1,mult(X2,X1)),mult(X2,ld(rd(X1,mult(X2,X1)),rd(X1,mult(X2,X1))))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.59.2.0','0.23.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.66.0.1',plain,
% 1.86/2.26 ( ld(rd(mult(X2,X1),X1),rd(X1,mult(X2,X1))) = rd(rd(X1,mult(X2,X1)),mult(X2,ld(rd(X1,mult(X2,X1)),rd(X1,mult(X2,X1))))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.66.0.0','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.66.0.2',plain,
% 1.86/2.26 ( ld(X2,rd(X1,mult(X2,X1))) = rd(rd(X1,mult(X2,X1)),mult(X2,ld(rd(X1,mult(X2,X1)),rd(X1,mult(X2,X1))))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.66.0.1','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.66.0.3',plain,
% 1.86/2.26 ( ld(X2,rd(X1,mult(X2,X1))) = rd(rd(X1,mult(X2,X1)),mult(X2,mult(X2,rd(X1,mult(X2,X1))))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.66.0.2','0.23.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2','L')]).
% 1.86/2.26 cnf('0.66.0.4',plain,
% 1.86/2.26 ( ld(X2,rd(X1,mult(X2,X1))) = rd(rd(X1,mult(X2,X1)),mult(X2,rd(rd(mult(X2,X1),X1),X2))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.66.0.3','0.37.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2','L')]).
% 1.86/2.26 cnf('0.66.0.5',plain,
% 1.86/2.26 ( ld(X2,rd(X1,mult(X2,X1))) = rd(rd(X1,mult(X2,X1)),mult(X2,rd(X2,X2))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.66.0.4','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2.1','L')]).
% 1.86/2.26 cnf('0.66.0.6',plain,
% 1.86/2.26 ( ld(X2,rd(X1,mult(X2,X1))) = rd(rd(X1,mult(X2,X1)),mult(X2,ld(X2,X2))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.66.0.5','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2','L')]).
% 1.86/2.26 cnf('0.66.0.7',plain,
% 1.86/2.26 ( ld(X2,rd(X1,mult(X2,X1))) = rd(rd(X1,mult(X2,X1)),X2) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.66.0.6','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2','L')]).
% 1.86/2.26 cnf('0.66.1.0',plain,
% 1.86/2.26 ( ld(X2,rd(X1,mult(X2,X1))) = rd(rd(X1,mult(X2,X1)),X2) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.66.0.7']),
% 1.86/2.26 [weight('<119,59,23,[1,0,0,2]>')]).
% 1.86/2.26 cnf('0.66.2.0',plain,
% 1.86/2.26 ( rd(rd(X1,mult(X2,X1)),X2) = ld(X2,rd(X1,mult(X2,X1))) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_60]).
% 1.86/2.26 cnf('0.69.0.0',plain,
% 1.86/2.26 ( ld(X1,rd(X1,X1)) = rd(X2,mult(X1,X2)) ),
% 1.86/2.26 inference(interreduction_right,[status(thm)],['0.30.2.0'])).
% 1.86/2.26 cnf('0.69.0.1',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = rd(X2,mult(X1,X2)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.69.0.0','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.69.1.0',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = rd(X2,mult(X1,X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.69.0.1']),
% 1.86/2.26 [weight('<120,30,42,[0,0,0,0]>')]).
% 1.86/2.26 cnf('0.69.2.0',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = rd(X2,mult(X1,X2)) ),
% 1.86/2.26 inference(activate,[status(thm)],['0.69.1.0']),
% 1.86/2.26 [equation_7]).
% 1.86/2.26 cnf('0.69.2.1',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = rd(x1,mult(X1,x1)) ),
% 1.86/2.26 inference(instr,[status(thm)],['0.69.2.0',theory(equality)])).
% 1.86/2.26 cnf('0.70.0.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),X1) = rd(X3,ld(X1,ld(X2,ld(X1,X3)))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.34.2.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.70.1.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),X1) = rd(X3,ld(X1,ld(X2,ld(X1,X3)))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.70.0.0']),
% 1.86/2.26 [weight('<149,34,1,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.70.2.0',plain,
% 1.86/2.26 ( rd(X1,ld(X2,ld(X3,ld(X2,X1)))) = mult(mult(X2,X3),X2) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_63]).
% 1.86/2.26 cnf('0.71.0.0',plain,
% 1.86/2.26 ( ld(X1,ld(X2,ld(X1,X3))) = ld(mult(mult(X1,X2),X1),X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.7.2.0','0.70.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.71.1.0',plain,
% 1.86/2.26 ( ld(X1,ld(X2,ld(X1,X3))) = ld(mult(mult(X1,X2),X1),X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.71.0.0']),
% 1.86/2.26 [weight('<119,70,7,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.71.2.0',plain,
% 1.86/2.26 ( ld(mult(mult(X1,X2),X1),X3) = ld(X1,ld(X2,ld(X1,X3))) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_64]).
% 1.86/2.26 cnf('0.73.0.0',plain,
% 1.86/2.26 ( rd(ld(X1,X2),X3) = ld(X1,rd(rd(X2,ld(X1,X3)),X1)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.4.2.0','0.36.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.73.1.0',plain,
% 1.86/2.26 ( rd(ld(X1,X2),X3) = ld(X1,rd(rd(X2,ld(X1,X3)),X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.73.0.0']),
% 1.86/2.26 [weight('<149,36,4,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.73.2.0',plain,
% 1.86/2.26 ( ld(X1,rd(rd(X2,ld(X1,X3)),X1)) = rd(ld(X1,X2),X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_66]).
% 1.86/2.26 cnf('0.76.0.0',plain,
% 1.86/2.26 ( rd(ld(X1,X2),mult(X1,X3)) = ld(X1,rd(rd(X2,X3),X1)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.73.2.0','0.4.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.1.2','L')]).
% 1.86/2.26 cnf('0.76.1.0',plain,
% 1.86/2.26 ( rd(ld(X1,X2),mult(X1,X3)) = ld(X1,rd(rd(X2,X3),X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.76.0.0']),
% 1.86/2.26 [weight('<119,73,4,[1,0,0,5]>')]).
% 1.86/2.26 cnf('0.76.2.0',plain,
% 1.86/2.26 ( rd(ld(X1,X2),mult(X1,X3)) = ld(X1,rd(rd(X2,X3),X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_69]).
% 1.86/2.26 cnf('0.78.0.0',plain,
% 1.86/2.26 ( ld(rd(ld(X1,X1),mult(X1,X1)),X2) = mult(mult(X1,X1),X2) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.20.2.0','0.40.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.78.1.0',plain,
% 1.86/2.26 ( ld(rd(ld(X1,X1),mult(X1,X1)),X2) = mult(mult(X1,X1),X2) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.78.0.0']),
% 1.86/2.26 [weight('<149,40,20,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.78.1.1',plain,
% 1.86/2.26 ( ld(ld(X1,rd(rd(X1,X1),X1)),X2) = mult(mult(X1,X1),X2) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.78.1.0','0.76.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.78.1.2',plain,
% 1.86/2.26 ( ld(ld(X1,rd(ld(X1,X1),X1)),X2) = mult(mult(X1,X1),X2) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.78.1.1','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2.1','L')]).
% 1.86/2.26 cnf('0.78.1.3',plain,
% 1.86/2.26 ( ld(ld(X1,rd(x1,mult(X1,x1))),X2) = mult(mult(X1,X1),X2) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.78.1.2','0.32.2.2',theory(equality)]),
% 1.86/2.26 [pos('L.1.2','R')]).
% 1.86/2.26 cnf('0.78.2.0',plain,
% 1.86/2.26 ( ld(ld(X1,rd(x1,mult(X1,x1))),X2) = mult(mult(X1,X1),X2) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.78.1.3',theory(equality)]),
% 1.86/2.26 [u,rule_71]).
% 1.86/2.26 cnf('0.79.0.0',plain,
% 1.86/2.26 ( ld(X1,rd(x1,mult(X1,x1))) = rd(X2,mult(mult(X1,X1),X2)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.6.2.0','0.78.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.79.1.0',plain,
% 1.86/2.26 ( ld(X1,rd(x1,mult(X1,x1))) = rd(X2,mult(mult(X1,X1),X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.79.0.0']),
% 1.86/2.26 [weight('<119,78,6,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.79.2.0',plain,
% 1.86/2.26 ( rd(X1,mult(mult(X2,X2),X1)) = ld(X2,rd(x1,mult(X2,x1))) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_72]).
% 1.86/2.26 cnf('0.82.0.0',plain,
% 1.86/2.26 ( rd(X1,mult(X2,X1)) = ld(mult(X2,rd(X1,mult(X2,X1))),rd(X1,mult(X2,X1))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.43.2.0','0.23.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.82.0.1',plain,
% 1.86/2.26 ( rd(X1,mult(X2,X1)) = ld(rd(rd(mult(X2,X1),X1),X2),rd(X1,mult(X2,X1))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.82.0.0','0.37.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1','L')]).
% 1.86/2.26 cnf('0.82.0.2',plain,
% 1.86/2.26 ( rd(X1,mult(X2,X1)) = ld(rd(X2,X2),rd(X1,mult(X2,X1))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.82.0.1','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1.1','L')]).
% 1.86/2.26 cnf('0.82.0.3',plain,
% 1.86/2.26 ( rd(X1,mult(X2,X1)) = ld(ld(X2,X2),rd(X1,mult(X2,X1))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.82.0.2','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1','L')]).
% 1.86/2.26 cnf('0.82.1.0',plain,
% 1.86/2.26 ( rd(X1,mult(X2,X1)) = ld(ld(X2,X2),rd(X1,mult(X2,X1))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.82.0.3']),
% 1.86/2.26 [weight('<149,43,23,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.82.2.0',plain,
% 1.86/2.26 ( ld(ld(X1,X1),rd(X2,mult(X1,X2))) = rd(X2,mult(X1,X2)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_75]).
% 1.86/2.26 cnf('0.83.0.0',plain,
% 1.86/2.26 ( ld(ld(X1,X1),mult(mult(rd(X2,mult(X1,X2)),ld(X1,X1)),X3)) = mult(rd(X2,mult(X1,X2)),mult(ld(X1,X1),X3)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.10.2.0','0.82.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.83.0.1',plain,
% 1.86/2.26 ( ld(ld(X1,X1),mult(ld(rd(mult(X1,X2),X2),ld(X1,X1)),X3)) = mult(rd(X2,mult(X1,X2)),mult(ld(X1,X1),X3)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.83.0.0','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.1','L')]).
% 1.86/2.26 cnf('0.83.0.2',plain,
% 1.86/2.26 ( ld(ld(X1,X1),mult(ld(X1,ld(X1,X1)),X3)) = mult(rd(X2,mult(X1,X2)),mult(ld(X1,X1),X3)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.83.0.1','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.1.1','L')]).
% 1.86/2.26 cnf('0.83.0.3',plain,
% 1.86/2.26 ( ld(ld(X1,X1),ld(X1,X3)) = mult(rd(X2,mult(X1,X2)),mult(ld(X1,X1),X3)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.83.0.2','0.48.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.83.0.4',plain,
% 1.86/2.26 ( ld(ld(X1,X1),ld(X1,X3)) = ld(rd(mult(X1,X2),X2),mult(ld(X1,X1),X3)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.83.0.3','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.83.0.5',plain,
% 1.86/2.26 ( ld(ld(X1,X1),ld(X1,X3)) = ld(X1,mult(ld(X1,X1),X3)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.83.0.4','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1','L')]).
% 1.86/2.26 cnf('0.83.0.6',plain,
% 1.86/2.26 ( ld(ld(X1,X1),ld(X1,X3)) = ld(X1,ld(ld(X1,X1),X3)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.83.0.5','0.45.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2','L')]).
% 1.86/2.26 cnf('0.83.1.0',plain,
% 1.86/2.26 ( ld(ld(X1,X1),ld(X1,X3)) = ld(X1,ld(ld(X1,X1),X3)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.83.0.6']),
% 1.86/2.26 [weight('<119,82,10,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.83.2.0',plain,
% 1.86/2.26 ( ld(ld(X1,X1),ld(X1,X2)) = ld(X1,ld(ld(X1,X1),X2)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_76]).
% 1.86/2.26 cnf('0.84.0.0',plain,
% 1.86/2.26 ( ld(ld(X1,ld(X1,X1)),rd(X2,ld(X1,ld(X1,X1)))) = rd(mult(X1,mult(X2,ld(ld(X1,ld(X1,X1)),X3))),X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.16.2.0','0.46.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.84.0.1',plain,
% 1.86/2.26 ( mult(X1,rd(X2,ld(X1,ld(X1,X1)))) = rd(mult(X1,mult(X2,ld(ld(X1,ld(X1,X1)),X3))),X3) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.84.0.0','0.46.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.84.0.2',plain,
% 1.86/2.26 ( mult(X1,rd(X2,ld(X1,ld(X1,X1)))) = rd(mult(X1,mult(X2,mult(X1,X3))),X3) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.84.0.1','0.46.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1.2.2','L')]).
% 1.86/2.26 cnf('0.84.0.3',plain,
% 1.86/2.26 ( mult(X1,rd(X2,ld(X1,ld(X1,X1)))) = mult(mult(X1,X2),X1) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.84.0.2','0.11.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.84.1.0',plain,
% 1.86/2.26 ( mult(X1,rd(X2,ld(X1,ld(X1,X1)))) = mult(mult(X1,X2),X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.84.0.3']),
% 1.86/2.26 [weight('<149,46,16,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.84.2.0',plain,
% 1.86/2.26 ( mult(X1,rd(X2,ld(X1,ld(X1,X1)))) = mult(mult(X1,X2),X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_77]).
% 1.86/2.26 cnf('0.85.0.0',plain,
% 1.86/2.26 ( rd(X1,ld(X2,ld(X2,X2))) = ld(X2,mult(mult(X2,X1),X2)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.4.2.0','0.84.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.85.1.0',plain,
% 1.86/2.26 ( rd(X1,ld(X2,ld(X2,X2))) = ld(X2,mult(mult(X2,X1),X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.85.0.0']),
% 1.86/2.26 [weight('<119,84,4,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.85.2.0',plain,
% 1.86/2.26 ( rd(X1,ld(X2,ld(X2,X2))) = ld(X2,mult(mult(X2,X1),X2)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_78]).
% 1.86/2.26 cnf('0.86.0.0',plain,
% 1.86/2.26 ( mult(mult(ld(X1,ld(X1,X1)),X2),ld(X1,ld(X1,X1))) = rd(ld(X1,mult(X2,mult(ld(X1,ld(X1,X1)),X3))),X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.11.2.0','0.48.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.86.0.1',plain,
% 1.86/2.26 ( mult(ld(X1,X2),ld(X1,ld(X1,X1))) = rd(ld(X1,mult(X2,mult(ld(X1,ld(X1,X1)),X3))),X3) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.86.0.0','0.48.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.86.0.2',plain,
% 1.86/2.26 ( mult(ld(X1,X2),ld(X1,ld(X1,X1))) = rd(ld(X1,mult(X2,ld(X1,X3))),X3) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.86.0.1','0.48.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1.2.2','L')]).
% 1.86/2.26 cnf('0.86.0.3',plain,
% 1.86/2.26 ( mult(ld(X1,X2),ld(X1,ld(X1,X1))) = ld(X1,rd(X2,X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.86.0.2','0.16.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.86.1.0',plain,
% 1.86/2.26 ( mult(ld(X1,X2),ld(X1,ld(X1,X1))) = ld(X1,rd(X2,X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.86.0.3']),
% 1.86/2.26 [weight('<149,48,11,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.86.2.0',plain,
% 1.86/2.26 ( mult(ld(X1,X2),ld(X1,ld(X1,X1))) = ld(X1,rd(X2,X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_79]).
% 1.86/2.26 cnf('0.87.0.0',plain,
% 1.86/2.26 ( ld(X1,rd(mult(X1,X2),X1)) = mult(X2,ld(X1,ld(X1,X1))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.86.2.0','0.4.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.87.1.0',plain,
% 1.86/2.26 ( ld(X1,rd(mult(X1,X2),X1)) = mult(X2,ld(X1,ld(X1,X1))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.87.0.0']),
% 1.86/2.26 [weight('<119,86,4,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.87.2.0',plain,
% 1.86/2.26 ( mult(X1,ld(X2,ld(X2,X2))) = ld(X2,rd(mult(X2,X1),X2)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_80]).
% 1.86/2.26 cnf('0.88.0.0',plain,
% 1.86/2.26 ( ld(ld(X1,ld(X1,X1)),ld(X2,ld(ld(X1,ld(X1,X1)),X3))) = ld(ld(X1,rd(mult(X1,mult(ld(X1,ld(X1,X1)),X2)),X1)),X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.71.2.0','0.87.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.88.0.1',plain,
% 1.86/2.26 ( mult(X1,ld(X2,ld(ld(X1,ld(X1,X1)),X3))) = ld(ld(X1,rd(mult(X1,mult(ld(X1,ld(X1,X1)),X2)),X1)),X3) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.88.0.0','0.46.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.88.0.2',plain,
% 1.86/2.26 ( mult(X1,ld(X2,mult(X1,X3))) = ld(ld(X1,rd(mult(X1,mult(ld(X1,ld(X1,X1)),X2)),X1)),X3) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.88.0.1','0.46.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2','L')]).
% 1.86/2.26 cnf('0.88.0.3',plain,
% 1.86/2.26 ( mult(X1,ld(X2,mult(X1,X3))) = ld(ld(X1,rd(mult(X1,ld(X1,X2)),X1)),X3) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.88.0.2','0.48.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1.2.1.2','L')]).
% 1.86/2.26 cnf('0.88.0.4',plain,
% 1.86/2.26 ( mult(X1,ld(X2,mult(X1,X3))) = ld(ld(X1,rd(X2,X1)),X3) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.88.0.3','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1.2.1','L')]).
% 1.86/2.26 cnf('0.88.1.0',plain,
% 1.86/2.26 ( mult(X1,ld(X2,mult(X1,X3))) = ld(ld(X1,rd(X2,X1)),X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.88.0.4']),
% 1.86/2.26 [weight('<119,87,71,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.88.2.0',plain,
% 1.86/2.26 ( mult(X1,ld(X2,mult(X1,X3))) = ld(ld(X1,rd(X2,X1)),X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_81]).
% 1.86/2.26 cnf('0.94.0.0',plain,
% 1.86/2.26 ( ld(rd(rd(X1,mult(X2,X1)),X2),X3) = mult(mult(X2,X2),X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.20.2.0','0.62.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.94.1.0',plain,
% 1.86/2.26 ( ld(rd(rd(X1,mult(X2,X1)),X2),X3) = mult(mult(X2,X2),X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.94.0.0']),
% 1.86/2.26 [weight('<149,62,20,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.94.1.1',plain,
% 1.86/2.26 ( ld(ld(X2,rd(X1,mult(X2,X1))),X3) = mult(mult(X2,X2),X3) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.94.1.0','0.66.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.94.2.0',plain,
% 1.86/2.26 ( ld(ld(X1,rd(X2,mult(X1,X2))),X3) = mult(mult(X1,X1),X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.94.1.1',theory(equality)]),
% 1.86/2.26 [u,rule_87]).
% 1.86/2.26 cnf('0.102.0.0',plain,
% 1.86/2.26 ( ld(X1,ld(ld(X1,X2),ld(X1,X3))) = ld(mult(X2,X1),X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.71.2.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.1','L')]).
% 1.86/2.26 cnf('0.102.1.0',plain,
% 1.86/2.26 ( ld(X1,ld(ld(X1,X2),ld(X1,X3))) = ld(mult(X2,X1),X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.102.0.0']),
% 1.86/2.26 [weight('<149,71,1,[1,0,0,2]>')]).
% 1.86/2.26 cnf('0.102.2.0',plain,
% 1.86/2.26 ( ld(X1,ld(ld(X1,X2),ld(X1,X3))) = ld(mult(X2,X1),X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_95]).
% 1.86/2.26 cnf('0.104.0.0',plain,
% 1.86/2.26 ( ld(mult(X1,X2),mult(X2,X3)) = ld(X2,ld(ld(X2,X1),X3)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.102.2.0','0.4.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2','L')]).
% 1.86/2.26 cnf('0.104.1.0',plain,
% 1.86/2.26 ( ld(mult(X1,X2),mult(X2,X3)) = ld(X2,ld(ld(X2,X1),X3)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.104.0.0']),
% 1.86/2.26 [weight('<119,102,4,[1,0,0,6]>')]).
% 1.86/2.26 cnf('0.104.2.0',plain,
% 1.86/2.26 ( ld(mult(X1,X2),mult(X2,X3)) = ld(X2,ld(ld(X2,X1),X3)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_97]).
% 1.86/2.26 cnf('0.106.0.0',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = ld(ld(X1,mult(mult(X1,X2),X1)),X2) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.7.2.0','0.85.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.106.1.0',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = ld(ld(X1,mult(mult(X1,X2),X1)),X2) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.106.0.0']),
% 1.86/2.26 [weight('<149,85,7,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.106.2.0',plain,
% 1.86/2.26 ( ld(ld(X1,mult(mult(X1,X2),X1)),X2) = ld(X1,ld(X1,X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_99]).
% 1.86/2.26 cnf('0.107.0.0',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = ld(X2,ld(X1,rd(mult(X1,X2),X1))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.4.2.0','0.87.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.107.1.0',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = ld(X2,ld(X1,rd(mult(X1,X2),X1))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.107.0.0']),
% 1.86/2.26 [weight('<149,87,4,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.107.2.0',plain,
% 1.86/2.26 ( ld(X1,ld(X2,rd(mult(X2,X1),X2))) = ld(X2,ld(X2,X2)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_100]).
% 1.86/2.26 cnf('0.108.0.0',plain,
% 1.86/2.26 ( ld(ld(X1,rd(X2,X1)),ld(X1,X3)) = mult(X1,ld(X2,X3)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.88.2.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2','L')]).
% 1.86/2.26 cnf('0.108.1.0',plain,
% 1.86/2.26 ( ld(ld(X1,rd(X2,X1)),ld(X1,X3)) = mult(X1,ld(X2,X3)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.108.0.0']),
% 1.86/2.26 [weight('<149,88,1,[1,0,0,4]>')]).
% 1.86/2.26 cnf('0.108.2.0',plain,
% 1.86/2.26 ( ld(ld(X1,rd(X2,X1)),ld(X1,X3)) = mult(X1,ld(X2,X3)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_101]).
% 1.86/2.26 cnf('0.114.0.0',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = ld(ld(X1,mult(X2,X1)),ld(X1,X2)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.106.2.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2.1','L')]).
% 1.86/2.26 cnf('0.114.1.0',plain,
% 1.86/2.26 ( ld(X1,ld(X1,X1)) = ld(ld(X1,mult(X2,X1)),ld(X1,X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.114.0.0']),
% 1.86/2.26 [weight('<149,106,1,[1,0,0,4]>')]).
% 1.86/2.26 cnf('0.114.2.0',plain,
% 1.86/2.26 ( ld(ld(X1,mult(X2,X1)),ld(X1,X2)) = ld(X1,ld(X1,X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_107]).
% 1.86/2.26 cnf('0.116.0.0',plain,
% 1.86/2.26 ( mult(X1,ld(X2,rd(mult(X1,ld(X1,rd(X2,X1))),X1))) = ld(X1,ld(X1,X1)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.108.2.0','0.107.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.116.0.1',plain,
% 1.86/2.26 ( mult(X1,ld(X2,rd(rd(X2,X1),X1))) = ld(X1,ld(X1,X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.116.0.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2.1','L')]).
% 1.86/2.26 cnf('0.116.1.0',plain,
% 1.86/2.26 ( mult(X1,ld(X2,rd(rd(X2,X1),X1))) = ld(X1,ld(X1,X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.116.0.1']),
% 1.86/2.26 [weight('<149,108,107,[1,0,0,0]>')]).
% 1.86/2.26 cnf('0.116.2.0',plain,
% 1.86/2.26 ( mult(X1,ld(X2,rd(rd(X2,X1),X1))) = ld(X1,ld(X1,X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_109]).
% 1.86/2.26 cnf('0.119.0.0',plain,
% 1.86/2.26 ( mult(mult(X1,ld(X1,mult(X2,X1))),X1) = rd(X2,ld(X1,ld(X1,ld(X1,X1)))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.70.2.0','0.114.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2','L')]).
% 1.86/2.26 cnf('0.119.0.1',plain,
% 1.86/2.26 ( mult(mult(X2,X1),X1) = rd(X2,ld(X1,ld(X1,ld(X1,X1)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.119.0.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.119.1.0',plain,
% 1.86/2.26 ( mult(mult(X2,X1),X1) = rd(X2,ld(X1,ld(X1,ld(X1,X1)))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.119.0.1']),
% 1.86/2.26 [weight('<149,114,70,[0,0,0,4]>')]).
% 1.86/2.26 cnf('0.119.2.0',plain,
% 1.86/2.26 ( rd(X1,ld(X2,ld(X2,ld(X2,X2)))) = mult(mult(X1,X2),X2) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.119.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_112]).
% 1.86/2.26 cnf('0.121.0.0',plain,
% 1.86/2.26 ( mult(mult(X1,rd(X2,X2)),rd(X2,X2)) = rd(X1,ld(rd(X2,X2),rd(X2,X2))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.119.2.0','0.27.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.121.0.1',plain,
% 1.86/2.26 ( mult(mult(X1,ld(X2,X2)),rd(X2,X2)) = rd(X1,ld(rd(X2,X2),rd(X2,X2))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.121.0.0','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2','L')]).
% 1.86/2.26 cnf('0.121.0.2',plain,
% 1.86/2.26 ( mult(mult(X1,ld(X2,X2)),ld(X2,X2)) = rd(X1,ld(rd(X2,X2),rd(X2,X2))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.121.0.1','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.121.0.3',plain,
% 1.86/2.26 ( mult(mult(X1,ld(X2,X2)),ld(X2,X2)) = rd(X1,ld(ld(X2,X2),rd(X2,X2))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.121.0.2','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.1','L')]).
% 1.86/2.26 cnf('0.121.0.4',plain,
% 1.86/2.26 ( mult(mult(X1,ld(X2,X2)),ld(X2,X2)) = rd(X1,ld(ld(X2,X2),ld(X2,X2))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.121.0.3','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2','L')]).
% 1.86/2.26 cnf('0.121.0.5',plain,
% 1.86/2.26 ( mult(mult(X1,ld(X2,X2)),ld(X2,X2)) = rd(X1,ld(X2,ld(ld(X2,X2),X2))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.121.0.4','0.83.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2','L')]).
% 1.86/2.26 cnf('0.121.0.6',plain,
% 1.86/2.26 ( mult(mult(X1,ld(X2,X2)),ld(X2,X2)) = rd(X1,ld(X2,X2)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.121.0.5','0.43.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2','L')]).
% 1.86/2.26 cnf('0.121.1.0',plain,
% 1.86/2.26 ( mult(mult(X1,ld(X2,X2)),ld(X2,X2)) = rd(X1,ld(X2,X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.121.0.6']),
% 1.86/2.26 [weight('<149,119,27,[1,0,0,2]>')]).
% 1.86/2.26 cnf('0.121.2.0',plain,
% 1.86/2.26 ( mult(mult(X1,ld(X2,X2)),ld(X2,X2)) = rd(X1,ld(X2,X2)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.121.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_114]).
% 1.86/2.26 cnf('0.122.0.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),X2) = rd(X1,ld(X2,rd(X3,mult(X2,X3)))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.119.2.0','0.69.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2','L')]).
% 1.86/2.26 cnf('0.122.1.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),X2) = rd(X1,ld(X2,rd(X3,mult(X2,X3)))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.122.0.0']),
% 1.86/2.26 [weight('<149,119,69,[1,0,0,4]>')]).
% 1.86/2.26 cnf('0.122.2.0',plain,
% 1.86/2.26 ( rd(X1,ld(X2,rd(X3,mult(X2,X3)))) = mult(mult(X1,X2),X2) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.122.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_115]).
% 1.86/2.26 cnf('0.123.0.0',plain,
% 1.86/2.26 ( mult(X1,ld(X2,X2)) = rd(rd(X1,ld(X2,X2)),ld(X2,X2)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.3.2.0','0.121.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.123.1.0',plain,
% 1.86/2.26 ( mult(X1,ld(X2,X2)) = rd(rd(X1,ld(X2,X2)),ld(X2,X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.123.0.0']),
% 1.86/2.26 [weight('<149,121,3,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.123.2.0',plain,
% 1.86/2.26 ( rd(rd(X1,ld(X2,X2)),ld(X2,X2)) = mult(X1,ld(X2,X2)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.123.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_116]).
% 1.86/2.26 cnf('0.124.0.0',plain,
% 1.86/2.26 ( rd(ld(X1,X2),rd(X3,mult(X1,X3))) = ld(X1,rd(mult(mult(X2,X1),X1),X1)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.73.2.0','0.122.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.1','L')]).
% 1.86/2.26 cnf('0.124.0.1',plain,
% 1.86/2.26 ( rd(ld(X1,X2),rd(X3,mult(X1,X3))) = ld(X1,mult(X2,X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.124.0.0','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2','L')]).
% 1.86/2.26 cnf('0.124.1.0',plain,
% 1.86/2.26 ( rd(ld(X1,X2),rd(X3,mult(X1,X3))) = ld(X1,mult(X2,X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.124.0.1']),
% 1.86/2.26 [weight('<149,122,73,[0,0,0,3]>')]).
% 1.86/2.26 cnf('0.124.2.0',plain,
% 1.86/2.26 ( rd(ld(X1,X2),rd(X3,mult(X1,X3))) = ld(X1,mult(X2,X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.124.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_117]).
% 1.86/2.26 cnf('0.125.0.0',plain,
% 1.86/2.26 ( ld(rd(X1,X2),mult(X1,rd(X1,X2))) = rd(X2,rd(X3,mult(rd(X1,X2),X3))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.124.2.0','0.7.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.125.0.1',plain,
% 1.86/2.26 ( ld(rd(X1,X2),mult(X1,rd(X1,X2))) = rd(X2,rd(X3,ld(rd(X2,X1),X3))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.125.0.0','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2','L')]).
% 1.86/2.26 cnf('0.125.0.2',plain,
% 1.86/2.26 ( ld(rd(X1,X2),mult(X1,rd(X1,X2))) = rd(X2,rd(X2,X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.125.0.1','0.6.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2','L')]).
% 1.86/2.26 cnf('0.125.1.0',plain,
% 1.86/2.26 ( ld(rd(X1,X2),mult(X1,rd(X1,X2))) = rd(X2,rd(X2,X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.125.0.2']),
% 1.86/2.26 [weight('<149,124,7,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.125.2.0',plain,
% 1.86/2.26 ( ld(rd(X1,X2),mult(X1,rd(X1,X2))) = rd(X2,rd(X2,X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.125.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_118]).
% 1.86/2.26 cnf('0.128.0.0',plain,
% 1.86/2.26 ( mult(X1,rd(X1,X2)) = mult(rd(X1,X2),rd(X2,rd(X2,X1))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.1.2.0','0.125.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.128.0.1',plain,
% 1.86/2.26 ( mult(X1,rd(X1,X2)) = ld(rd(X2,X1),rd(X2,rd(X2,X1))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.128.0.0','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.128.1.0',plain,
% 1.86/2.26 ( mult(X1,rd(X1,X2)) = ld(rd(X2,X1),rd(X2,rd(X2,X1))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.128.0.1']),
% 1.86/2.26 [weight('<149,125,1,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.128.2.0',plain,
% 1.86/2.26 ( ld(rd(X1,X2),rd(X1,rd(X1,X2))) = mult(X2,rd(X2,X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.128.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_121]).
% 1.86/2.26 cnf('0.129.0.0',plain,
% 1.86/2.26 ( mult(ld(X1,X2),rd(ld(X1,X2),X2)) = ld(X1,rd(X2,rd(X2,ld(X1,X2)))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.128.2.0','0.6.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.129.0.1',plain,
% 1.86/2.26 ( mult(ld(X1,X2),rd(ld(X1,X2),X2)) = ld(X1,rd(X2,X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.129.0.0','0.6.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2','L')]).
% 1.86/2.26 cnf('0.129.1.0',plain,
% 1.86/2.26 ( mult(ld(X1,X2),rd(ld(X1,X2),X2)) = ld(X1,rd(X2,X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.129.0.1']),
% 1.86/2.26 [weight('<149,128,6,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.129.1.1',plain,
% 1.86/2.26 ( mult(ld(X1,X2),rd(x1,mult(X1,x1))) = ld(X1,rd(X2,X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.129.1.0','0.32.2.2',theory(equality)]),
% 1.86/2.26 [pos('L.2','R')]).
% 1.86/2.26 cnf('0.129.2.0',plain,
% 1.86/2.26 ( mult(ld(X1,X2),rd(x1,mult(X1,x1))) = ld(X1,rd(X2,X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.129.1.1',theory(equality)]),
% 1.86/2.26 [u,rule_122]).
% 1.86/2.26 cnf('0.130.0.0',plain,
% 1.86/2.26 ( ld(X1,rd(rd(X2,X1),X1)) = ld(X1,mult(X2,ld(X1,rd(x1,mult(X1,x1))))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.129.2.0','0.13.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.130.1.0',plain,
% 1.86/2.26 ( rd(rd(X2,X1),X1) = mult(X2,ld(X1,rd(x1,mult(X1,x1)))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.130.0.0']),
% 1.86/2.26 [weight('<149,129,13,[1,0,0,0]>')]).
% 1.86/2.26 cnf('0.130.2.0',plain,
% 1.86/2.26 ( mult(X1,ld(X2,rd(x1,mult(X2,x1)))) = rd(rd(X1,X2),X2) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.130.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_123]).
% 1.86/2.26 cnf('0.131.0.0',plain,
% 1.86/2.26 ( ld(X1,rd(X2,X1)) = mult(ld(X1,X2),rd(X3,mult(X1,X3))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.129.2.0','0.33.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.131.1.0',plain,
% 1.86/2.26 ( ld(X1,rd(X2,X1)) = mult(ld(X1,X2),rd(X3,mult(X1,X3))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.131.0.0']),
% 1.86/2.26 [weight('<149,129,33,[1,0,0,4]>')]).
% 1.86/2.26 cnf('0.131.2.0',plain,
% 1.86/2.26 ( mult(ld(X1,X2),rd(X3,mult(X1,X3))) = ld(X1,rd(X2,X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_124]).
% 1.86/2.26 cnf('0.132.0.0',plain,
% 1.86/2.26 ( rd(rd(X1,X2),X2) = mult(X1,ld(X2,rd(X3,mult(X2,X3)))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.130.2.0','0.33.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2','L')]).
% 1.86/2.26 cnf('0.132.1.0',plain,
% 1.86/2.26 ( rd(rd(X1,X2),X2) = mult(X1,ld(X2,rd(X3,mult(X2,X3)))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.132.0.0']),
% 1.86/2.26 [weight('<149,130,33,[1,0,0,4]>')]).
% 1.86/2.26 cnf('0.132.2.0',plain,
% 1.86/2.26 ( mult(X1,ld(X2,rd(X3,mult(X2,X3)))) = rd(rd(X1,X2),X2) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_125]).
% 1.86/2.26 cnf('0.146.0.0',plain,
% 1.86/2.26 ( ld(X1,mult(mult(X2,X1),ld(X3,rd(rd(X3,X1),X1)))) = mult(ld(X1,X2),ld(X1,ld(X1,X1))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.10.2.0','0.116.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.146.0.1',plain,
% 1.86/2.26 ( ld(X1,mult(mult(X2,X1),ld(X3,rd(rd(X3,X1),X1)))) = ld(X1,rd(mult(X1,ld(X1,X2)),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.146.0.0','0.87.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.146.0.2',plain,
% 1.86/2.26 ( ld(X1,mult(mult(X2,X1),ld(X3,rd(rd(X3,X1),X1)))) = ld(X1,rd(X2,X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.146.0.1','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.1','L')]).
% 1.86/2.26 cnf('0.146.1.0',plain,
% 1.86/2.26 ( mult(mult(X2,X1),ld(X3,rd(rd(X3,X1),X1))) = rd(X2,X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.146.0.2']),
% 1.86/2.26 [weight('<179,116,10,[0,0,0,4]>')]).
% 1.86/2.26 cnf('0.146.2.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),ld(X3,rd(rd(X3,X2),X2))) = rd(X1,X2) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.146.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_139]).
% 1.86/2.26 cnf('0.157.0.0',plain,
% 1.86/2.26 ( mult(X1,X2) = rd(rd(X1,X2),ld(X3,rd(rd(X3,X2),X2))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.3.2.0','0.146.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.157.1.0',plain,
% 1.86/2.26 ( mult(X1,X2) = rd(rd(X1,X2),ld(X3,rd(rd(X3,X2),X2))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.157.0.0']),
% 1.86/2.26 [weight('<179,146,3,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.157.2.0',plain,
% 1.86/2.26 ( rd(rd(X1,X2),ld(X3,rd(rd(X3,X2),X2))) = mult(X1,X2) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_150]).
% 1.86/2.26 cnf('0.158.0.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),X2) = rd(X1,ld(X3,rd(rd(X3,X2),X2))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.157.2.0','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.158.1.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),X2) = rd(X1,ld(X3,rd(rd(X3,X2),X2))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.158.0.0']),
% 1.86/2.26 [weight('<149,157,3,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.158.2.0',plain,
% 1.86/2.26 ( rd(X1,ld(X2,rd(rd(X2,X3),X3))) = mult(mult(X1,X3),X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.158.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_151]).
% 1.86/2.26 cnf('0.172.0.0',plain,
% 1.86/2.26 ( rd(rd(X1,ld(X2,ld(X2,X1))),X2) = mult(X2,ld(ld(X2,X1),ld(X2,X1))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.36.2.0','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.172.1.0',plain,
% 1.86/2.26 ( rd(rd(X1,ld(X2,ld(X2,X1))),X2) = mult(X2,ld(ld(X2,X1),ld(X2,X1))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.172.0.0']),
% 1.86/2.26 [weight('<189,42,36,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.172.2.0',plain,
% 1.86/2.26 ( mult(X1,ld(ld(X1,X2),ld(X1,X2))) = rd(rd(X2,ld(X1,ld(X1,X2))),X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.172.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_165]).
% 1.86/2.26 cnf('0.173.0.0',plain,
% 1.86/2.26 ( rd(rd(X1,ld(ld(X2,X2),ld(ld(X2,X2),X1))),ld(X2,X2)) = ld(ld(X2,X2),ld(ld(ld(X2,X2),X1),ld(ld(X2,X2),X1))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.172.2.0','0.45.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.173.0.1',plain,
% 1.86/2.26 ( rd(rd(X1,X1),ld(X2,X2)) = ld(ld(X2,X2),ld(ld(ld(X2,X2),X1),ld(ld(X2,X2),X1))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.173.0.0','0.55.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2','L')]).
% 1.86/2.26 cnf('0.173.0.2',plain,
% 1.86/2.26 ( rd(ld(X1,X1),ld(X2,X2)) = ld(ld(X2,X2),ld(ld(ld(X2,X2),X1),ld(ld(X2,X2),X1))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.173.0.1','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.173.0.3',plain,
% 1.86/2.26 ( rd(ld(X1,X1),ld(X2,X2)) = ld(mult(X1,ld(X2,X2)),X1) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.173.0.2','0.102.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.173.1.0',plain,
% 1.86/2.26 ( rd(ld(X1,X1),ld(X2,X2)) = ld(mult(X1,ld(X2,X2)),X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.173.0.3']),
% 1.86/2.26 [weight('<119,172,45,[1,0,0,0]>')]).
% 1.86/2.26 cnf('0.173.2.0',plain,
% 1.86/2.26 ( rd(ld(X1,X1),ld(X2,X2)) = ld(mult(X1,ld(X2,X2)),X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.173.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_166]).
% 1.86/2.26 cnf('0.174.0.0',plain,
% 1.86/2.26 ( ld(X1,X1) = ld(ld(mult(X2,ld(X1,X1)),X2),ld(X2,X2)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.7.2.0','0.173.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.174.1.0',plain,
% 1.86/2.26 ( ld(X1,X1) = ld(ld(mult(X2,ld(X1,X1)),X2),ld(X2,X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.174.0.0']),
% 1.86/2.26 [weight('<179,173,7,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.174.2.0',plain,
% 1.86/2.26 ( ld(ld(mult(X1,ld(X2,X2)),X1),ld(X1,X1)) = ld(X2,X2) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.174.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_167]).
% 1.86/2.26 cnf('0.195.0.0',plain,
% 1.86/2.26 ( ld(X1,ld(ld(X1,rd(X2,X3)),X4)) = ld(ld(rd(X3,X2),X1),mult(X1,X4)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.104.2.0','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.195.1.0',plain,
% 1.86/2.26 ( ld(X1,ld(ld(X1,rd(X2,X3)),X4)) = ld(ld(rd(X3,X2),X1),mult(X1,X4)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.195.0.0']),
% 1.86/2.26 [weight('<189,104,20,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.195.2.0',plain,
% 1.86/2.26 ( ld(ld(rd(X1,X2),X3),mult(X3,X4)) = ld(X3,ld(ld(X3,rd(X2,X1)),X4)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.195.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_187]).
% 1.86/2.26 cnf('0.197.0.0',plain,
% 1.86/2.26 ( ld(ld(ld(X1,rd(X2,X1)),ld(X1,rd(X2,X1))),X3) = mult(mult(X1,ld(X2,rd(X2,X1))),X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.45.2.0','0.108.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.197.0.1',plain,
% 1.86/2.26 ( ld(mult(X1,ld(X2,rd(X2,X1))),X3) = mult(mult(X1,ld(X2,rd(X2,X1))),X3) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.197.0.0','0.108.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.197.1.0',plain,
% 1.86/2.26 ( ld(mult(X1,ld(X2,rd(X2,X1))),X3) = mult(mult(X1,ld(X2,rd(X2,X1))),X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.197.0.1']),
% 1.86/2.26 [weight('<189,108,45,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.197.2.0',plain,
% 1.86/2.26 ( mult(mult(X1,ld(X2,rd(X2,X1))),X3) = ld(mult(X1,ld(X2,rd(X2,X1))),X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.197.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_189]).
% 1.86/2.26 cnf('0.202.0.0',plain,
% 1.86/2.26 ( rd(mult(ld(X1,X1),X2),ld(X1,X1)) = mult(ld(X1,X1),mult(X2,mult(ld(X1,X1),ld(X1,X1)))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.121.2.0','0.5.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.202.0.1',plain,
% 1.86/2.26 ( rd(ld(ld(X1,X1),X2),ld(X1,X1)) = mult(ld(X1,X1),mult(X2,mult(ld(X1,X1),ld(X1,X1)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.202.0.0','0.45.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.202.0.2',plain,
% 1.86/2.26 ( rd(ld(ld(X1,X1),X2),ld(X1,X1)) = ld(ld(X1,X1),mult(X2,mult(ld(X1,X1),ld(X1,X1)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.202.0.1','0.45.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.202.0.3',plain,
% 1.86/2.26 ( rd(ld(ld(X1,X1),X2),ld(X1,X1)) = ld(ld(X1,X1),mult(X2,ld(ld(X1,X1),ld(X1,X1)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.202.0.2','0.45.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2','L')]).
% 1.86/2.26 cnf('0.202.0.4',plain,
% 1.86/2.26 ( rd(ld(ld(X1,X1),X2),ld(X1,X1)) = ld(ld(X1,X1),mult(X2,ld(X1,ld(ld(X1,X1),X1)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.202.0.3','0.83.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2','L')]).
% 1.86/2.26 cnf('0.202.0.5',plain,
% 1.86/2.26 ( rd(ld(ld(X1,X1),X2),ld(X1,X1)) = ld(ld(X1,X1),mult(X2,ld(X1,X1))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.202.0.4','0.43.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2.2','L')]).
% 1.86/2.26 cnf('0.202.1.0',plain,
% 1.86/2.26 ( rd(ld(ld(X1,X1),X2),ld(X1,X1)) = ld(ld(X1,X1),mult(X2,ld(X1,X1))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.202.0.5']),
% 1.86/2.26 [weight('<189,121,5,[1,0,0,0]>')]).
% 1.86/2.26 cnf('0.202.2.0',plain,
% 1.86/2.26 ( rd(ld(ld(X1,X1),X2),ld(X1,X1)) = ld(ld(X1,X1),mult(X2,ld(X1,X1))) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.202.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_194]).
% 1.86/2.26 cnf('0.207.0.0',plain,
% 1.86/2.26 ( ld(rd(X1,X2),mult(X3,rd(X1,X2))) = rd(ld(rd(X1,X2),X3),rd(X4,ld(rd(X2,X1),X4))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.124.2.0','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2','L')]).
% 1.86/2.26 cnf('0.207.0.1',plain,
% 1.86/2.26 ( ld(rd(X1,X2),mult(X3,rd(X1,X2))) = rd(ld(rd(X1,X2),X3),rd(X2,X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.207.0.0','0.6.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2','L')]).
% 1.86/2.26 cnf('0.207.1.0',plain,
% 1.86/2.26 ( ld(rd(X1,X2),mult(X3,rd(X1,X2))) = rd(ld(rd(X1,X2),X3),rd(X2,X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.207.0.1']),
% 1.86/2.26 [weight('<189,124,20,[1,0,0,6]>')]).
% 1.86/2.26 cnf('0.207.2.0',plain,
% 1.86/2.26 ( rd(ld(rd(X1,X2),X3),rd(X2,X1)) = ld(rd(X1,X2),mult(X3,rd(X1,X2))) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.207.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_199]).
% 1.86/2.26 cnf('0.220.0.0',plain,
% 1.86/2.26 ( ld(X1,ld(ld(X2,rd(X3,mult(X2,X3))),ld(X1,X4))) = ld(mult(rd(rd(X1,X2),X2),X1),X4) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.71.2.0','0.132.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.1','L')]).
% 1.86/2.26 cnf('0.220.0.1',plain,
% 1.86/2.26 ( ld(X1,mult(mult(X2,X2),ld(X1,X4))) = ld(mult(rd(rd(X1,X2),X2),X1),X4) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.220.0.0','0.94.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.220.0.2',plain,
% 1.86/2.26 ( ld(X1,mult(mult(X2,X2),ld(X1,X4))) = ld(ld(rd(X2,rd(X1,X2)),X1),X4) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.220.0.1','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1','L')]).
% 1.86/2.26 cnf('0.220.1.0',plain,
% 1.86/2.26 ( ld(X1,mult(mult(X2,X2),ld(X1,X4))) = ld(ld(rd(X2,rd(X1,X2)),X1),X4) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.220.0.2']),
% 1.86/2.26 [weight('<189,132,71,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.220.2.0',plain,
% 1.86/2.26 ( ld(ld(rd(X1,rd(X2,X1)),X2),X3) = ld(X2,mult(mult(X1,X1),ld(X2,X3))) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.220.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_212]).
% 1.86/2.26 cnf('0.221.0.0',plain,
% 1.86/2.26 ( ld(X1,mult(mult(X2,X2),ld(X1,mult(X1,X3)))) = ld(X1,ld(ld(X1,rd(rd(X1,X2),X2)),X3)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.220.2.0','0.195.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.221.0.1',plain,
% 1.86/2.26 ( ld(X1,mult(mult(X2,X2),X3)) = ld(X1,ld(ld(X1,rd(rd(X1,X2),X2)),X3)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.221.0.0','0.4.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2','L')]).
% 1.86/2.26 cnf('0.221.1.0',plain,
% 1.86/2.26 ( mult(mult(X2,X2),X3) = ld(ld(X1,rd(rd(X1,X2),X2)),X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.221.0.1']),
% 1.86/2.26 [weight('<149,220,195,[1,0,0,0]>')]).
% 1.86/2.26 cnf('0.221.2.0',plain,
% 1.86/2.26 ( ld(ld(X1,rd(rd(X1,X2),X2)),X3) = mult(mult(X2,X2),X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.221.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_213]).
% 1.86/2.26 cnf('0.222.0.0',plain,
% 1.86/2.26 ( mult(mult(X1,X1),X2) = ld(ld(mult(X3,X1),rd(X3,X1)),X2) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.221.2.0','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2.1','L')]).
% 1.86/2.26 cnf('0.222.1.0',plain,
% 1.86/2.26 ( mult(mult(X1,X1),X2) = ld(ld(mult(X3,X1),rd(X3,X1)),X2) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.222.0.0']),
% 1.86/2.26 [weight('<149,221,3,[1,0,0,4]>')]).
% 1.86/2.26 cnf('0.222.2.0',plain,
% 1.86/2.26 ( ld(ld(mult(X1,X2),rd(X1,X2)),X3) = mult(mult(X2,X2),X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.222.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_214]).
% 1.86/2.26 cnf('0.223.0.0',plain,
% 1.86/2.26 ( ld(mult(X1,X2),rd(X1,X2)) = rd(X3,mult(mult(X2,X2),X3)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.6.2.0','0.222.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.223.0.1',plain,
% 1.86/2.26 ( ld(mult(X1,X2),rd(X1,X2)) = ld(X2,rd(x1,mult(X2,x1))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.223.0.0','0.79.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.223.1.0',plain,
% 1.86/2.26 ( ld(mult(X1,X2),rd(X1,X2)) = ld(X2,rd(x1,mult(X2,x1))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.223.0.1']),
% 1.86/2.26 [weight('<119,222,6,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.223.2.0',plain,
% 1.86/2.26 ( ld(mult(X1,X2),rd(X1,X2)) = ld(X2,rd(x1,mult(X2,x1))) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.223.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_215]).
% 1.86/2.26 cnf('0.227.0.0',plain,
% 1.86/2.26 ( mult(mult(X1,ld(X2,X3)),ld(X2,X3)) = rd(X1,ld(X3,rd(X2,ld(X2,X3)))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.158.2.0','0.6.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2.1','L')]).
% 1.86/2.26 cnf('0.227.1.0',plain,
% 1.86/2.26 ( mult(mult(X1,ld(X2,X3)),ld(X2,X3)) = rd(X1,ld(X3,rd(X2,ld(X2,X3)))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.227.0.0']),
% 1.86/2.26 [weight('<189,158,6,[1,0,0,5]>')]).
% 1.86/2.26 cnf('0.227.2.0',plain,
% 1.86/2.26 ( mult(mult(X1,ld(X2,X3)),ld(X2,X3)) = rd(X1,ld(X3,rd(X2,ld(X2,X3)))) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.227.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_219]).
% 1.86/2.26 cnf('0.228.0.0',plain,
% 1.86/2.26 ( rd(X1,ld(X2,rd(X1,ld(X1,X2)))) = mult(X2,ld(X1,X2)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.227.2.0','0.1.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.228.1.0',plain,
% 1.86/2.26 ( rd(X1,ld(X2,rd(X1,ld(X1,X2)))) = mult(X2,ld(X1,X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.228.0.0']),
% 1.86/2.26 [weight('<149,227,1,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.228.2.0',plain,
% 1.86/2.26 ( rd(X1,ld(X2,rd(X1,ld(X1,X2)))) = mult(X2,ld(X1,X2)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.228.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_220]).
% 1.86/2.26 cnf('0.231.0.0',plain,
% 1.86/2.26 ( ld(rd(ld(X1,X1),ld(X2,X2)),X3) = mult(ld(mult(X2,ld(X1,X1)),X2),X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.20.2.0','0.173.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.231.0.1',plain,
% 1.86/2.26 ( ld(ld(mult(X1,ld(X2,X2)),X1),X3) = mult(ld(mult(X2,ld(X1,X1)),X2),X3) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.231.0.0','0.173.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.231.1.0',plain,
% 1.86/2.26 ( ld(ld(mult(X1,ld(X2,X2)),X1),X3) = mult(ld(mult(X2,ld(X1,X1)),X2),X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.231.0.1']),
% 1.86/2.26 [weight('<189,173,20,[0,0,0,1]>')]).
% 1.86/2.26 cnf('0.231.2.0',plain,
% 1.86/2.26 ( mult(ld(mult(X1,ld(X2,X2)),X1),X3) = ld(ld(mult(X2,ld(X1,X1)),X2),X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.231.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_223]).
% 1.86/2.26 cnf('0.236.0.0',plain,
% 1.86/2.26 ( ld(mult(ld(X1,X2),ld(X2,rd(X2,ld(X1,X2)))),X3) = mult(mult(ld(X1,X2),ld(X2,X1)),X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.197.2.0','0.6.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2.2','L')]).
% 1.86/2.26 cnf('0.236.0.1',plain,
% 1.86/2.26 ( ld(mult(ld(X1,X2),ld(X2,X1)),X3) = mult(mult(ld(X1,X2),ld(X2,X1)),X3) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.236.0.0','0.6.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2.2','L')]).
% 1.86/2.26 cnf('0.236.1.0',plain,
% 1.86/2.26 ( ld(mult(ld(X1,X2),ld(X2,X1)),X3) = mult(mult(ld(X1,X2),ld(X2,X1)),X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.236.0.1']),
% 1.86/2.26 [weight('<189,197,6,[1,0,0,5]>')]).
% 1.86/2.26 cnf('0.236.2.0',plain,
% 1.86/2.26 ( mult(mult(ld(X1,X2),ld(X2,X1)),X3) = ld(mult(ld(X1,X2),ld(X2,X1)),X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.236.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_228]).
% 1.86/2.26 cnf('0.246.0.0',plain,
% 1.86/2.26 ( ld(mult(ld(mult(X1,X2),X1),ld(X1,mult(X1,X2))),X3) = mult(mult(ld(mult(X1,X2),X1),X2),X3) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.236.2.0','0.4.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2','L')]).
% 1.86/2.26 cnf('0.246.0.1',plain,
% 1.86/2.26 ( ld(mult(ld(mult(X1,X2),X1),X2),X3) = mult(mult(ld(mult(X1,X2),X1),X2),X3) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.246.0.0','0.4.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2','L')]).
% 1.86/2.26 cnf('0.246.1.0',plain,
% 1.86/2.26 ( ld(mult(ld(mult(X1,X2),X1),X2),X3) = mult(mult(ld(mult(X1,X2),X1),X2),X3) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.246.0.1']),
% 1.86/2.26 [weight('<189,236,4,[1,0,0,5]>')]).
% 1.86/2.26 cnf('0.246.2.0',plain,
% 1.86/2.26 ( mult(mult(ld(mult(X1,X2),X1),X2),X3) = ld(mult(ld(mult(X1,X2),X1),X2),X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.246.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_238]).
% 1.86/2.26 cnf('0.284.0.0',plain,
% 1.86/2.26 ( ld(X1,rd(rd(X2,X3),X1)) = rd(ld(X1,ld(rd(X3,X2),ld(X1,X4))),X4) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.16.2.0','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2','L')]).
% 1.86/2.26 cnf('0.284.1.0',plain,
% 1.86/2.26 ( ld(X1,rd(rd(X2,X3),X1)) = rd(ld(X1,ld(rd(X3,X2),ld(X1,X4))),X4) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.284.0.0']),
% 1.86/2.26 [weight('<227,20,16,[0,0,0,3]>')]).
% 1.86/2.26 cnf('0.284.2.0',plain,
% 1.86/2.26 ( rd(ld(X1,ld(rd(X2,X3),ld(X1,X4))),X4) = ld(X1,rd(rd(X3,X2),X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.284.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_270]).
% 1.86/2.26 cnf('0.290.0.0',plain,
% 1.86/2.26 ( rd(rd(X1,ld(rd(X1,X2),X3)),rd(X1,X2)) = mult(rd(X1,X2),rd(X2,X3)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.36.2.0','0.7.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.1','L')]).
% 1.86/2.26 cnf('0.290.0.1',plain,
% 1.86/2.26 ( rd(rd(X1,ld(rd(X1,X2),X3)),rd(X1,X2)) = ld(rd(X2,X1),rd(X2,X3)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.290.0.0','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.290.1.0',plain,
% 1.86/2.26 ( rd(rd(X1,ld(rd(X1,X2),X3)),rd(X1,X2)) = ld(rd(X2,X1),rd(X2,X3)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.290.0.1']),
% 1.86/2.26 [weight('<227,36,7,[1,0,0,3]>')]).
% 1.86/2.26 cnf('0.290.2.0',plain,
% 1.86/2.26 ( rd(rd(X1,ld(rd(X1,X2),X3)),rd(X1,X2)) = ld(rd(X2,X1),rd(X2,X3)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.290.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_276]).
% 1.86/2.26 cnf('0.291.0.0',plain,
% 1.86/2.26 ( ld(rd(X1,X2),rd(X1,rd(X2,ld(X2,rd(X2,X1))))) = rd(mult(rd(X2,X1),ld(X2,rd(X2,X1))),rd(X2,X1)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.290.2.0','0.228.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.291.0.1',plain,
% 1.86/2.26 ( ld(rd(X1,X2),rd(X1,rd(X2,ld(X2,rd(X2,X1))))) = rd(ld(rd(X1,X2),ld(X2,rd(X2,X1))),rd(X2,X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.291.0.0','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1','L')]).
% 1.86/2.26 cnf('0.291.0.2',plain,
% 1.86/2.26 ( ld(rd(X1,X2),rd(X1,rd(X2,ld(X2,rd(X2,X1))))) = ld(rd(X1,X2),mult(ld(X2,rd(X2,X1)),rd(X1,X2))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.291.0.1','0.207.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.291.1.0',plain,
% 1.86/2.26 ( rd(X1,rd(X2,ld(X2,rd(X2,X1)))) = mult(ld(X2,rd(X2,X1)),rd(X1,X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.291.0.2']),
% 1.86/2.26 [weight('<189,290,228,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.291.2.0',plain,
% 1.86/2.26 ( mult(ld(X1,rd(X1,X2)),rd(X2,X1)) = rd(X2,rd(X1,ld(X1,rd(X1,X2)))) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.291.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_277]).
% 1.86/2.26 cnf('0.318.0.0',plain,
% 1.86/2.26 ( rd(ld(X1,X2),ld(X1,X1)) = ld(X1,rd(rd(X2,rd(X3,mult(X1,X3))),X1)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.73.2.0','0.69.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.1.2','L')]).
% 1.86/2.26 cnf('0.318.1.0',plain,
% 1.86/2.26 ( rd(ld(X1,X2),ld(X1,X1)) = ld(X1,rd(rd(X2,rd(X3,mult(X1,X3))),X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.318.0.0']),
% 1.86/2.26 [weight('<227,73,69,[1,0,0,5]>')]).
% 1.86/2.26 cnf('0.318.2.0',plain,
% 1.86/2.26 ( ld(X1,rd(rd(X2,rd(X3,mult(X1,X3))),X1)) = rd(ld(X1,X2),ld(X1,X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.318.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_303]).
% 1.86/2.26 cnf('0.325.0.0',plain,
% 1.86/2.26 ( rd(ld(X1,X2),ld(X1,X1)) = ld(X1,rd(ld(X1,mult(mult(X1,X2),X1)),X1)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.73.2.0','0.85.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.1','L')]).
% 1.86/2.26 cnf('0.325.1.0',plain,
% 1.86/2.26 ( rd(ld(X1,X2),ld(X1,X1)) = ld(X1,rd(ld(X1,mult(mult(X1,X2),X1)),X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.325.0.0']),
% 1.86/2.26 [weight('<227,85,73,[0,0,0,3]>')]).
% 1.86/2.26 cnf('0.325.2.0',plain,
% 1.86/2.26 ( ld(X1,rd(ld(X1,mult(mult(X1,X2),X1)),X1)) = rd(ld(X1,X2),ld(X1,X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.325.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_310]).
% 1.86/2.26 cnf('0.336.0.0',plain,
% 1.86/2.26 ( ld(mult(X1,rd(X1,X2)),X3) = ld(rd(X1,X2),ld(X2,ld(rd(X1,X2),X3))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.102.2.0','0.7.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.1','L')]).
% 1.86/2.26 cnf('0.336.1.0',plain,
% 1.86/2.26 ( ld(mult(X1,rd(X1,X2)),X3) = ld(rd(X1,X2),ld(X2,ld(rd(X1,X2),X3))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.336.0.0']),
% 1.86/2.26 [weight('<227,102,7,[1,0,0,3]>')]).
% 1.86/2.26 cnf('0.336.2.0',plain,
% 1.86/2.26 ( ld(rd(X1,X2),ld(X2,ld(rd(X1,X2),X3))) = ld(mult(X1,rd(X1,X2)),X3) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.336.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_321]).
% 1.86/2.26 cnf('0.337.0.0',plain,
% 1.86/2.26 ( ld(mult(X1,rd(X1,X2)),X1) = ld(rd(X1,X2),ld(X2,X2)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.336.2.0','0.7.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2','L')]).
% 1.86/2.26 cnf('0.337.1.0',plain,
% 1.86/2.26 ( ld(mult(X1,rd(X1,X2)),X1) = ld(rd(X1,X2),ld(X2,X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.337.0.0']),
% 1.86/2.26 [weight('<224,336,7,[1,0,0,6]>')]).
% 1.86/2.26 cnf('0.337.2.0',plain,
% 1.86/2.26 ( ld(mult(X1,rd(X1,X2)),X1) = ld(rd(X1,X2),ld(X2,X2)) ),
% 1.86/2.26 inference(activate,[status(thm)],['0.337.1.0']),
% 1.86/2.26 [equation_16]).
% 1.86/2.26 cnf('0.352.0.0',plain,
% 1.86/2.26 ( mult(X1,ld(ld(X2,X1),X3)) = ld(ld(X1,rd(X4,mult(X2,X4))),ld(X1,X3)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.108.2.0','0.32.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2','R')]).
% 1.86/2.26 cnf('0.352.1.0',plain,
% 1.86/2.26 ( mult(X1,ld(ld(X2,X1),X3)) = ld(ld(X1,rd(X4,mult(X2,X4))),ld(X1,X3)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.352.0.0']),
% 1.86/2.26 [weight('<227,108,32,[1,0,1,3]>')]).
% 1.86/2.26 cnf('0.352.2.0',plain,
% 1.86/2.26 ( ld(ld(X1,rd(X2,mult(X3,X2))),ld(X1,X4)) = mult(X1,ld(ld(X3,X1),X4)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.352.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_336]).
% 1.86/2.26 cnf('0.413.0.0',plain,
% 1.86/2.26 ( ld(X1,rd(x1,mult(X1,x1))) = ld(ld(rd(X2,X3),X1),rd(rd(X3,X2),X1)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.223.2.0','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.413.1.0',plain,
% 1.86/2.26 ( ld(X1,rd(x1,mult(X1,x1))) = ld(ld(rd(X2,X3),X1),rd(rd(X3,X2),X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.413.0.0']),
% 1.86/2.26 [weight('<227,223,20,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.413.2.0',plain,
% 1.86/2.26 ( ld(ld(rd(X1,X2),X3),rd(rd(X2,X1),X3)) = ld(X3,rd(x1,mult(X3,x1))) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.413.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_394]).
% 1.86/2.26 cnf('0.415.0.0',plain,
% 1.86/2.26 ( ld(X1,rd(x1,mult(X1,x1))) = ld(ld(ld(X2,X2),X1),rd(ld(X2,X2),X1)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.223.2.0','0.45.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.415.1.0',plain,
% 1.86/2.26 ( ld(X1,rd(x1,mult(X1,x1))) = ld(ld(ld(X2,X2),X1),rd(ld(X2,X2),X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.415.0.0']),
% 1.86/2.26 [weight('<227,223,45,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.415.2.0',plain,
% 1.86/2.26 ( ld(ld(ld(X1,X1),X2),rd(ld(X1,X1),X2)) = ld(X2,rd(x1,mult(X2,x1))) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.415.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_396]).
% 1.86/2.26 cnf('0.416.0.0',plain,
% 1.86/2.26 ( ld(rd(rd(X1,rd(X2,mult(ld(X3,X3),X2))),ld(X3,X3)),rd(x1,mult(rd(rd(X1,rd(X2,mult(ld(X3,X3),X2))),ld(X3,X3)),x1))) = ld(rd(ld(ld(X3,X3),X1),ld(ld(X3,X3),ld(X3,X3))),rd(ld(X3,X3),rd(rd(X1,rd(X2,mult(ld(X3,X3),X2))),ld(X3,X3)))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.415.2.0','0.318.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.416.0.1',plain,
% 1.86/2.26 ( ld(rd(rd(X1,rd(X2,ld(ld(X3,X3),X2))),ld(X3,X3)),rd(x1,mult(rd(rd(X1,rd(X2,mult(ld(X3,X3),X2))),ld(X3,X3)),x1))) = ld(rd(ld(ld(X3,X3),X1),ld(ld(X3,X3),ld(X3,X3))),rd(ld(X3,X3),rd(rd(X1,rd(X2,mult(ld(X3,X3),X2))),ld(X3,X3)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.416.0.0','0.45.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.1.2.2','L')]).
% 1.86/2.26 cnf('0.416.0.2',plain,
% 1.86/2.26 ( ld(rd(rd(X1,ld(X3,X3)),ld(X3,X3)),rd(x1,mult(rd(rd(X1,rd(X2,mult(ld(X3,X3),X2))),ld(X3,X3)),x1))) = ld(rd(ld(ld(X3,X3),X1),ld(ld(X3,X3),ld(X3,X3))),rd(ld(X3,X3),rd(rd(X1,rd(X2,mult(ld(X3,X3),X2))),ld(X3,X3)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.416.0.1','0.6.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.1.2','L')]).
% 1.86/2.26 cnf('0.416.0.3',plain,
% 1.86/2.26 ( ld(mult(X1,ld(X3,X3)),rd(x1,mult(rd(rd(X1,rd(X2,mult(ld(X3,X3),X2))),ld(X3,X3)),x1))) = ld(rd(ld(ld(X3,X3),X1),ld(ld(X3,X3),ld(X3,X3))),rd(ld(X3,X3),rd(rd(X1,rd(X2,mult(ld(X3,X3),X2))),ld(X3,X3)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.416.0.2','0.123.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.416.0.4',plain,
% 1.86/2.26 ( ld(mult(X1,ld(X3,X3)),rd(x1,ld(rd(ld(X3,X3),rd(X1,rd(X2,mult(ld(X3,X3),X2)))),x1))) = ld(rd(ld(ld(X3,X3),X1),ld(ld(X3,X3),ld(X3,X3))),rd(ld(X3,X3),rd(rd(X1,rd(X2,mult(ld(X3,X3),X2))),ld(X3,X3)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.416.0.3','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2','L')]).
% 1.86/2.26 cnf('0.416.0.5',plain,
% 1.86/2.26 ( ld(mult(X1,ld(X3,X3)),rd(ld(X3,X3),rd(X1,rd(X2,mult(ld(X3,X3),X2))))) = ld(rd(ld(ld(X3,X3),X1),ld(ld(X3,X3),ld(X3,X3))),rd(ld(X3,X3),rd(rd(X1,rd(X2,mult(ld(X3,X3),X2))),ld(X3,X3)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.416.0.4','0.6.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.416.0.6',plain,
% 1.86/2.26 ( ld(mult(X1,ld(X3,X3)),rd(ld(X3,X3),rd(X1,rd(X2,ld(ld(X3,X3),X2))))) = ld(rd(ld(ld(X3,X3),X1),ld(ld(X3,X3),ld(X3,X3))),rd(ld(X3,X3),rd(rd(X1,rd(X2,mult(ld(X3,X3),X2))),ld(X3,X3)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.416.0.5','0.45.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2.2.2','L')]).
% 1.86/2.26 cnf('0.416.0.7',plain,
% 1.86/2.26 ( ld(mult(X1,ld(X3,X3)),rd(ld(X3,X3),rd(X1,ld(X3,X3)))) = ld(rd(ld(ld(X3,X3),X1),ld(ld(X3,X3),ld(X3,X3))),rd(ld(X3,X3),rd(rd(X1,rd(X2,mult(ld(X3,X3),X2))),ld(X3,X3)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.416.0.6','0.6.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2.2','L')]).
% 1.86/2.26 cnf('0.416.0.8',plain,
% 1.86/2.26 ( ld(mult(X1,ld(X3,X3)),rd(ld(X3,X3),rd(X1,ld(X3,X3)))) = ld(rd(ld(ld(X3,X3),X1),ld(X3,ld(ld(X3,X3),X3))),rd(ld(X3,X3),rd(rd(X1,rd(X2,mult(ld(X3,X3),X2))),ld(X3,X3)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.416.0.7','0.83.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1.2','L')]).
% 1.86/2.26 cnf('0.416.0.9',plain,
% 1.86/2.26 ( ld(mult(X1,ld(X3,X3)),rd(ld(X3,X3),rd(X1,ld(X3,X3)))) = ld(rd(ld(ld(X3,X3),X1),ld(X3,X3)),rd(ld(X3,X3),rd(rd(X1,rd(X2,mult(ld(X3,X3),X2))),ld(X3,X3)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.416.0.8','0.43.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1.2.2','L')]).
% 1.86/2.26 cnf('0.416.0.10',plain,
% 1.86/2.26 ( ld(mult(X1,ld(X3,X3)),rd(ld(X3,X3),rd(X1,ld(X3,X3)))) = ld(ld(ld(X3,X3),mult(X1,ld(X3,X3))),rd(ld(X3,X3),rd(rd(X1,rd(X2,mult(ld(X3,X3),X2))),ld(X3,X3)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.416.0.9','0.202.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1','L')]).
% 1.86/2.26 cnf('0.416.0.11',plain,
% 1.86/2.26 ( ld(mult(X1,ld(X3,X3)),rd(ld(X3,X3),rd(X1,ld(X3,X3)))) = ld(ld(ld(X3,X3),mult(X1,ld(X3,X3))),rd(ld(X3,X3),rd(rd(X1,rd(X2,ld(ld(X3,X3),X2))),ld(X3,X3)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.416.0.10','0.45.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2.1.2.2','L')]).
% 1.86/2.26 cnf('0.416.0.12',plain,
% 1.86/2.26 ( ld(mult(X1,ld(X3,X3)),rd(ld(X3,X3),rd(X1,ld(X3,X3)))) = ld(ld(ld(X3,X3),mult(X1,ld(X3,X3))),rd(ld(X3,X3),rd(rd(X1,ld(X3,X3)),ld(X3,X3)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.416.0.11','0.6.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2.1.2','L')]).
% 1.86/2.26 cnf('0.416.0.13',plain,
% 1.86/2.26 ( ld(mult(X1,ld(X3,X3)),rd(ld(X3,X3),rd(X1,ld(X3,X3)))) = ld(ld(ld(X3,X3),mult(X1,ld(X3,X3))),rd(ld(X3,X3),mult(X1,ld(X3,X3)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.416.0.12','0.123.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2','L')]).
% 1.86/2.26 cnf('0.416.0.14',plain,
% 1.86/2.26 ( ld(mult(X1,ld(X3,X3)),rd(ld(X3,X3),rd(X1,ld(X3,X3)))) = ld(mult(X1,ld(X3,X3)),rd(x1,mult(mult(X1,ld(X3,X3)),x1))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.416.0.13','0.415.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.416.1.0',plain,
% 1.86/2.26 ( rd(ld(X3,X3),rd(X1,ld(X3,X3))) = rd(x1,mult(mult(X1,ld(X3,X3)),x1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.416.0.14']),
% 1.86/2.26 [weight('<189,415,318,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.416.2.0',plain,
% 1.86/2.26 ( rd(ld(X1,X1),rd(X2,ld(X1,X1))) = rd(x1,mult(mult(X2,ld(X1,X1)),x1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.416.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_397]).
% 1.86/2.26 cnf('0.477.0.0',plain,
% 1.86/2.26 ( ld(X1,rd(rd(X1,X2),X1)) = rd(ld(X1,ld(mult(X2,rd(X2,X1)),X2)),X1) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.284.2.0','0.337.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2','R')]).
% 1.86/2.26 cnf('0.477.1.0',plain,
% 1.86/2.26 ( ld(X1,rd(rd(X1,X2),X1)) = rd(ld(X1,ld(mult(X2,rd(X2,X1)),X2)),X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.477.0.0']),
% 1.86/2.26 [weight('<227,337,284,[0,1,0,3]>')]).
% 1.86/2.26 cnf('0.477.2.0',plain,
% 1.86/2.26 ( rd(ld(X1,ld(mult(X2,rd(X2,X1)),X2)),X1) = ld(X1,rd(rd(X1,X2),X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.477.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_458]).
% 1.86/2.26 cnf('0.478.0.0',plain,
% 1.86/2.26 ( ld(X1,rd(rd(X1,mult(X2,X1)),X1)) = rd(ld(X1,ld(mult(mult(X2,X1),X2),mult(X2,X1))),X1) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.477.2.0','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.2.1.2','L')]).
% 1.86/2.26 cnf('0.478.0.1',plain,
% 1.86/2.26 ( ld(X1,rd(rd(X1,mult(X2,X1)),X1)) = rd(ld(X1,ld(X2,ld(X1,ld(X2,mult(X2,X1))))),X1) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.478.0.0','0.71.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1.2','L')]).
% 1.86/2.26 cnf('0.478.0.2',plain,
% 1.86/2.26 ( ld(X1,rd(rd(X1,mult(X2,X1)),X1)) = rd(ld(X1,ld(X2,ld(X1,X1))),X1) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.478.0.1','0.4.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1.2.2.2','L')]).
% 1.86/2.26 cnf('0.478.1.0',plain,
% 1.86/2.26 ( ld(X1,rd(rd(X1,mult(X2,X1)),X1)) = rd(ld(X1,ld(X2,ld(X1,X1))),X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.478.0.2']),
% 1.86/2.26 [weight('<189,477,3,[1,0,0,6]>')]).
% 1.86/2.26 cnf('0.478.2.0',plain,
% 1.86/2.26 ( rd(ld(X1,ld(X2,ld(X1,X1))),X1) = ld(X1,rd(rd(X1,mult(X2,X1)),X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.478.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_459]).
% 1.86/2.26 cnf('0.504.0.0',plain,
% 1.86/2.26 ( ld(X1,rd(x1,mult(X1,x1))) = ld(ld(X2,X1),rd(rd(X3,mult(X2,X3)),X1)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.413.2.0','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1.1','L')]).
% 1.86/2.26 cnf('0.504.1.0',plain,
% 1.86/2.26 ( ld(X1,rd(x1,mult(X1,x1))) = ld(ld(X2,X1),rd(rd(X3,mult(X2,X3)),X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.504.0.0']),
% 1.86/2.26 [weight('<227,413,3,[1,0,0,2]>')]).
% 1.86/2.26 cnf('0.504.2.0',plain,
% 1.86/2.26 ( ld(ld(X1,X2),rd(rd(X3,mult(X1,X3)),X2)) = ld(X2,rd(x1,mult(X2,x1))) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.504.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_484]).
% 1.86/2.26 cnf('0.539.0.0',plain,
% 1.86/2.26 ( ld(X1,rd(rd(X1,mult(ld(X1,X2),X1)),X1)) = rd(ld(mult(X2,X1),X1),X1) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.478.2.0','0.102.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.539.1.0',plain,
% 1.86/2.26 ( ld(X1,rd(rd(X1,mult(ld(X1,X2),X1)),X1)) = rd(ld(mult(X2,X1),X1),X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.539.0.0']),
% 1.86/2.26 [weight('<227,478,102,[1,0,0,1]>')]).
% 1.86/2.26 cnf('0.539.1.1',plain,
% 1.86/2.26 ( ld(X1,rd(rd(X1,mult(ld(X1,X2),X1)),X1)) = rd(x1,mult(mult(X2,X1),x1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.539.1.0','0.32.2.2',theory(equality)]),
% 1.86/2.26 [pos('R','R')]).
% 1.86/2.26 cnf('0.539.2.0',plain,
% 1.86/2.26 ( ld(X1,rd(rd(X1,mult(ld(X1,X2),X1)),X1)) = rd(x1,mult(mult(X2,X1),x1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.539.1.1',theory(equality)]),
% 1.86/2.26 [u,rule_519]).
% 1.86/2.26 cnf('0.573.0.0',plain,
% 1.86/2.26 ( rd(x1,mult(mult(X1,X2),x1)) = ld(X2,rd(rd(ld(ld(X2,X1),X3),X3),X2)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.539.2.0','0.32.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.1','L')]).
% 1.86/2.26 cnf('0.573.1.0',plain,
% 1.86/2.26 ( rd(x1,mult(mult(X1,X2),x1)) = ld(X2,rd(rd(ld(ld(X2,X1),X3),X3),X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.573.0.0']),
% 1.86/2.26 [weight('<227,539,32,[1,0,0,3]>')]).
% 1.86/2.26 cnf('0.573.1.1',plain,
% 1.86/2.26 ( rd(x1,mult(mult(X1,X2),x1)) = ld(X2,rd(rd(x1,mult(ld(X2,X1),x1)),X2)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.573.1.0','0.32.2.2',theory(equality)]),
% 1.86/2.26 [pos('R.2.1','R')]).
% 1.86/2.26 cnf('0.573.2.0',plain,
% 1.86/2.26 ( ld(X1,rd(rd(x1,mult(ld(X1,X2),x1)),X1)) = rd(x1,mult(mult(X2,X1),x1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.573.1.1',theory(equality)]),
% 1.86/2.26 [x,rule_552]).
% 1.86/2.26 cnf('0.574.0.0',plain,
% 1.86/2.26 ( rd(rd(x1,mult(ld(X1,X2),x1)),X1) = mult(X1,rd(x1,mult(mult(X2,X1),x1))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.1.2.0','0.573.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.574.1.0',plain,
% 1.86/2.26 ( rd(rd(x1,mult(ld(X1,X2),x1)),X1) = mult(X1,rd(x1,mult(mult(X2,X1),x1))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.574.0.0']),
% 1.86/2.26 [weight('<189,573,1,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.574.2.0',plain,
% 1.86/2.26 ( mult(X1,rd(x1,mult(mult(X2,X1),x1))) = rd(rd(x1,mult(ld(X1,X2),x1)),X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.574.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_553]).
% 1.86/2.26 cnf('0.575.0.0',plain,
% 1.86/2.26 ( rd(rd(x1,mult(ld(X1,X2),x1)),X1) = mult(X1,rd(X3,mult(mult(X2,X1),X3))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.574.2.0','0.33.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.575.1.0',plain,
% 1.86/2.26 ( rd(rd(x1,mult(ld(X1,X2),x1)),X1) = mult(X1,rd(X3,mult(mult(X2,X1),X3))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.575.0.0']),
% 1.86/2.26 [weight('<189,574,33,[1,0,0,2]>')]).
% 1.86/2.26 cnf('0.575.2.0',plain,
% 1.86/2.26 ( mult(X1,rd(X2,mult(mult(X3,X1),X2))) = rd(rd(x1,mult(ld(X1,X3),x1)),X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.575.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_554]).
% 1.86/2.26 cnf('0.579.0.0',plain,
% 1.86/2.26 ( rd(x1,mult(mult(X1,X2),x1)) = ld(X2,rd(rd(X3,mult(ld(X2,X1),X3)),X2)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.539.2.0','0.33.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.1','L')]).
% 1.86/2.26 cnf('0.579.1.0',plain,
% 1.86/2.26 ( rd(x1,mult(mult(X1,X2),x1)) = ld(X2,rd(rd(X3,mult(ld(X2,X1),X3)),X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.579.0.0']),
% 1.86/2.26 [weight('<227,539,33,[1,0,0,3]>')]).
% 1.86/2.26 cnf('0.579.2.0',plain,
% 1.86/2.26 ( ld(X1,rd(rd(X2,mult(ld(X1,X3),X2)),X1)) = rd(x1,mult(mult(X3,X1),x1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.579.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_558]).
% 1.86/2.26 cnf('0.611.0.0',plain,
% 1.86/2.26 ( rd(x1,mult(mult(X1,X2),x1)) = ld(X2,rd(rd(rd(X3,mult(X2,X3)),ld(X2,rd(X1,X2))),X2)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.579.2.0','0.131.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.1.2','L')]).
% 1.86/2.26 cnf('0.611.0.1',plain,
% 1.86/2.26 ( rd(x1,mult(mult(X1,X2),x1)) = rd(ld(X2,rd(X3,mult(X2,X3))),rd(X1,X2)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.611.0.0','0.73.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.611.1.0',plain,
% 1.86/2.26 ( rd(x1,mult(mult(X1,X2),x1)) = rd(ld(X2,rd(X3,mult(X2,X3))),rd(X1,X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.611.0.1']),
% 1.86/2.26 [weight('<227,579,131,[1,0,0,5]>')]).
% 1.86/2.26 cnf('0.611.2.0',plain,
% 1.86/2.26 ( rd(ld(X1,rd(X2,mult(X1,X2))),rd(X3,X1)) = rd(x1,mult(mult(X3,X1),x1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.611.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_590]).
% 1.86/2.26 cnf('0.612.0.0',plain,
% 1.86/2.26 ( rd(x1,mult(mult(mult(X1,X2),X2),x1)) = rd(ld(X2,rd(X3,mult(X2,X3))),X1) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.611.2.0','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.612.1.0',plain,
% 1.86/2.26 ( rd(x1,mult(mult(mult(X1,X2),X2),x1)) = rd(ld(X2,rd(X3,mult(X2,X3))),X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.612.0.0']),
% 1.86/2.26 [weight('<189,611,3,[1,0,0,8]>')]).
% 1.86/2.26 cnf('0.612.2.0',plain,
% 1.86/2.26 ( rd(ld(X1,rd(X2,mult(X1,X2))),X3) = rd(x1,mult(mult(mult(X3,X1),X1),x1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.612.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_591]).
% 1.86/2.26 cnf('0.613.0.0',plain,
% 1.86/2.26 ( rd(rd(rd(X1,mult(X2,X1)),ld(X2,X3)),X2) = mult(X2,rd(x1,mult(mult(mult(X3,X2),X2),x1))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.36.2.0','0.612.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.613.0.1',plain,
% 1.86/2.26 ( rd(rd(rd(X1,mult(X2,X1)),ld(X2,X3)),X2) = rd(rd(x1,mult(ld(X2,mult(X3,X2)),x1)),X2) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.613.0.0','0.575.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.613.1.0',plain,
% 1.86/2.26 ( rd(rd(X1,mult(X2,X1)),ld(X2,X3)) = rd(x1,mult(ld(X2,mult(X3,X2)),x1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.613.0.1']),
% 1.86/2.26 [weight('<189,612,36,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.613.2.0',plain,
% 1.86/2.26 ( rd(rd(X1,mult(X2,X1)),ld(X2,X3)) = rd(x1,mult(ld(X2,mult(X3,X2)),x1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.613.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_592]).
% 1.86/2.26 cnf('0.640.0.0',plain,
% 1.86/2.26 ( mult(mult(X1,ld(X2,rd(X3,mult(X2,X3)))),X1) = mult(X1,rd(x1,mult(mult(mult(rd(X4,mult(X1,X4)),X2),X2),x1))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.39.2.0','0.612.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.640.0.1',plain,
% 1.86/2.26 ( mult(rd(rd(X1,X2),X2),X1) = mult(X1,rd(x1,mult(mult(mult(rd(X4,mult(X1,X4)),X2),X2),x1))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.640.0.0','0.132.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.640.0.2',plain,
% 1.86/2.26 ( ld(rd(X2,rd(X1,X2)),X1) = mult(X1,rd(x1,mult(mult(mult(rd(X4,mult(X1,X4)),X2),X2),x1))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.640.0.1','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.640.0.3',plain,
% 1.86/2.26 ( ld(rd(X2,rd(X1,X2)),X1) = mult(X1,rd(x1,mult(mult(ld(rd(mult(X1,X4),X4),X2),X2),x1))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.640.0.2','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2.1.1','L')]).
% 1.86/2.26 cnf('0.640.0.4',plain,
% 1.86/2.26 ( ld(rd(X2,rd(X1,X2)),X1) = mult(X1,rd(x1,mult(mult(ld(X1,X2),X2),x1))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.640.0.3','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2.1.1.1','L')]).
% 1.86/2.26 cnf('0.640.1.0',plain,
% 1.86/2.26 ( ld(rd(X2,rd(X1,X2)),X1) = mult(X1,rd(x1,mult(mult(ld(X1,X2),X2),x1))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.640.0.4']),
% 1.86/2.26 [weight('<227,612,39,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.640.2.0',plain,
% 1.86/2.26 ( mult(X1,rd(x1,mult(mult(ld(X1,X2),X2),x1))) = ld(rd(X2,rd(X1,X2)),X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.640.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_619]).
% 1.86/2.26 cnf('0.652.0.0',plain,
% 1.86/2.26 ( ld(rd(X1,rd(X2,X1)),X2) = mult(X2,rd(X3,mult(mult(ld(X2,X1),X1),X3))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.640.2.0','0.33.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.652.1.0',plain,
% 1.86/2.26 ( ld(rd(X1,rd(X2,X1)),X2) = mult(X2,rd(X3,mult(mult(ld(X2,X1),X1),X3))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.652.0.0']),
% 1.86/2.26 [weight('<227,640,33,[1,0,0,2]>')]).
% 1.86/2.26 cnf('0.652.2.0',plain,
% 1.86/2.26 ( mult(X1,rd(X2,mult(mult(ld(X1,X3),X3),X2))) = ld(rd(X3,rd(X1,X3)),X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.652.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_631]).
% 1.86/2.26 cnf('0.657.0.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),X1) = rd(mult(X1,ld(X2,X2)),ld(X1,rd(X3,mult(X2,X3)))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.34.2.0','0.69.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2','L')]).
% 1.86/2.26 cnf('0.657.1.0',plain,
% 1.86/2.26 ( mult(mult(X1,X2),X1) = rd(mult(X1,ld(X2,X2)),ld(X1,rd(X3,mult(X2,X3)))) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.657.0.0']),
% 1.86/2.26 [weight('<265,69,34,[0,0,0,6]>')]).
% 1.86/2.26 cnf('0.657.2.0',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,rd(X3,mult(X2,X3)))) = mult(mult(X1,X2),X1) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.657.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_636]).
% 1.86/2.26 cnf('0.665.0.0',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),rd(ld(X1,rd(X3,mult(X2,X3))),ld(ld(X1,rd(X3,mult(X2,X3))),rd(ld(X1,rd(X3,mult(X2,X3))),mult(X1,ld(X2,X2)))))) = mult(ld(ld(X1,rd(X3,mult(X2,X3))),rd(ld(X1,rd(X3,mult(X2,X3))),mult(X1,ld(X2,X2)))),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.291.2.0','0.657.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.665.0.1',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),rd(ld(X1,rd(X3,mult(X2,X3))),ld(ld(X1,rd(X3,mult(X2,X3))),ld(X1,rd(rd(rd(X3,mult(X2,X3)),ld(X2,X2)),X1))))) = mult(ld(ld(X1,rd(X3,mult(X2,X3))),rd(ld(X1,rd(X3,mult(X2,X3))),mult(X1,ld(X2,X2)))),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.0','0.76.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2.2','L')]).
% 1.86/2.26 cnf('0.665.0.2',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),rd(ld(X1,rd(X3,mult(X2,X3))),mult(X1,ld(ld(X2,X1),rd(rd(rd(X3,mult(X2,X3)),ld(X2,X2)),X1))))) = mult(ld(ld(X1,rd(X3,mult(X2,X3))),rd(ld(X1,rd(X3,mult(X2,X3))),mult(X1,ld(X2,X2)))),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.1','0.352.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2','L')]).
% 1.86/2.26 cnf('0.665.0.3',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,rd(rd(rd(X3,mult(X2,X3)),ld(ld(X2,X1),rd(rd(rd(X3,mult(X2,X3)),ld(X2,X2)),X1))),X1))) = mult(ld(ld(X1,rd(X3,mult(X2,X3))),rd(ld(X1,rd(X3,mult(X2,X3))),mult(X1,ld(X2,X2)))),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.2','0.76.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.665.0.4',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,rd(rd(rd(X3,mult(X2,X3)),ld(ld(X2,X1),rd(rd(x1,mult(ld(X2,mult(X2,X2)),x1)),X1))),X1))) = mult(ld(ld(X1,rd(X3,mult(X2,X3))),rd(ld(X1,rd(X3,mult(X2,X3))),mult(X1,ld(X2,X2)))),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.3','0.613.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2.1.2.2.1','L')]).
% 1.86/2.26 cnf('0.665.0.5',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,rd(rd(rd(X3,mult(X2,X3)),ld(ld(X2,X1),rd(rd(x1,mult(X2,x1)),X1))),X1))) = mult(ld(ld(X1,rd(X3,mult(X2,X3))),rd(ld(X1,rd(X3,mult(X2,X3))),mult(X1,ld(X2,X2)))),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.4','0.4.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2.1.2.2.1.2.1','L')]).
% 1.86/2.26 cnf('0.665.0.6',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,rd(rd(rd(X3,mult(X2,X3)),ld(X1,rd(x1,mult(X1,x1)))),X1))) = mult(ld(ld(X1,rd(X3,mult(X2,X3))),rd(ld(X1,rd(X3,mult(X2,X3))),mult(X1,ld(X2,X2)))),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.5','0.504.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2.1.2','L')]).
% 1.86/2.26 cnf('0.665.0.7',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,rd(mult(mult(rd(X3,mult(X2,X3)),X1),X1),X1))) = mult(ld(ld(X1,rd(X3,mult(X2,X3))),rd(ld(X1,rd(X3,mult(X2,X3))),mult(X1,ld(X2,X2)))),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.6','0.122.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2.1','L')]).
% 1.86/2.26 cnf('0.665.0.8',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,mult(rd(X3,mult(X2,X3)),X1))) = mult(ld(ld(X1,rd(X3,mult(X2,X3))),rd(ld(X1,rd(X3,mult(X2,X3))),mult(X1,ld(X2,X2)))),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.7','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2','L')]).
% 1.86/2.26 cnf('0.665.0.9',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,ld(rd(mult(X2,X3),X3),X1))) = mult(ld(ld(X1,rd(X3,mult(X2,X3))),rd(ld(X1,rd(X3,mult(X2,X3))),mult(X1,ld(X2,X2)))),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.8','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2','L')]).
% 1.86/2.26 cnf('0.665.0.10',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,ld(X2,X1))) = mult(ld(ld(X1,rd(X3,mult(X2,X3))),rd(ld(X1,rd(X3,mult(X2,X3))),mult(X1,ld(X2,X2)))),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.9','0.3.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2.1','L')]).
% 1.86/2.26 cnf('0.665.0.11',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,ld(X2,X1))) = mult(ld(ld(X1,rd(X3,mult(X2,X3))),ld(X1,rd(rd(rd(X3,mult(X2,X3)),ld(X2,X2)),X1))),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.10','0.76.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1.2','L')]).
% 1.86/2.26 cnf('0.665.0.12',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,ld(X2,X1))) = mult(mult(X1,ld(ld(X2,X1),rd(rd(rd(X3,mult(X2,X3)),ld(X2,X2)),X1))),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.11','0.352.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1','L')]).
% 1.86/2.26 cnf('0.665.0.13',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,ld(X2,X1))) = mult(mult(X1,ld(ld(X2,X1),rd(rd(x1,mult(ld(X2,mult(X2,X2)),x1)),X1))),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.12','0.613.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1.2.2.1','L')]).
% 1.86/2.26 cnf('0.665.0.14',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,ld(X2,X1))) = mult(mult(X1,ld(ld(X2,X1),rd(rd(x1,mult(X2,x1)),X1))),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.13','0.4.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1.2.2.1.2.1','L')]).
% 1.86/2.26 cnf('0.665.0.15',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,ld(X2,X1))) = mult(mult(X1,ld(X1,rd(x1,mult(X1,x1)))),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.14','0.504.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1.2','L')]).
% 1.86/2.26 cnf('0.665.0.16',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,ld(X2,X1))) = mult(rd(rd(X1,X1),X1),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.15','0.132.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1','L')]).
% 1.86/2.26 cnf('0.665.0.17',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,ld(X2,X1))) = ld(rd(X1,rd(X1,X1)),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.16','0.20.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.665.0.18',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,ld(X2,X1))) = ld(rd(X1,ld(X1,X1)),mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.17','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1.2','L')]).
% 1.86/2.26 cnf('0.665.0.19',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,ld(X2,X1))) = ld(X1,mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.665.0.18','0.6.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1','L')]).
% 1.86/2.26 cnf('0.665.1.0',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,ld(X2,X1))) = ld(X1,mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.665.0.19']),
% 1.86/2.26 [weight('<227,657,291,[0,0,0,6]>')]).
% 1.86/2.26 cnf('0.665.2.0',plain,
% 1.86/2.26 ( rd(mult(X1,ld(X2,X2)),ld(X1,ld(X2,X1))) = ld(X1,mult(mult(X1,X2),X1)) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.665.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_644]).
% 1.86/2.26 cnf('0.666.0.0',plain,
% 1.86/2.26 ( rd(ld(X1,mult(X1,ld(X2,X2))),ld(X2,X1)) = ld(X1,rd(ld(X1,mult(mult(X1,X2),X1)),X1)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.73.2.0','0.665.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.1','L')]).
% 1.86/2.26 cnf('0.666.0.1',plain,
% 1.86/2.26 ( rd(ld(X2,X2),ld(X2,X1)) = ld(X1,rd(ld(X1,mult(mult(X1,X2),X1)),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.666.0.0','0.4.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.666.0.2',plain,
% 1.86/2.26 ( rd(ld(X2,X2),ld(X2,X1)) = rd(ld(X1,X2),ld(X1,X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.666.0.1','0.325.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.666.1.0',plain,
% 1.86/2.26 ( rd(ld(X2,X2),ld(X2,X1)) = rd(ld(X1,X2),ld(X1,X1)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.666.0.2']),
% 1.86/2.26 [weight('<224,665,73,[0,0,0,3]>')]).
% 1.86/2.26 cnf('0.666.2.0',plain,
% 1.86/2.26 ( rd(ld(X1,X1),ld(X1,X2)) = rd(ld(X2,X1),ld(X2,X2)) ),
% 1.86/2.26 inference(activate,[status(thm)],['0.666.1.0']),
% 1.86/2.26 [equation_22]).
% 1.86/2.26 cnf('0.674.0.0',plain,
% 1.86/2.26 ( rd(ld(ld(X1,X1),ld(mult(X1,ld(X2,X2)),X1)),ld(ld(X1,X1),ld(X1,X1))) = rd(ld(ld(mult(X1,ld(X2,X2)),X1),ld(mult(X1,ld(X2,X2)),X1)),ld(X2,X2)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.666.2.0','0.174.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.674.0.1',plain,
% 1.86/2.26 ( rd(ld(ld(X1,X1),ld(mult(X1,ld(X2,X2)),X1)),ld(X1,ld(ld(X1,X1),X1))) = rd(ld(ld(mult(X1,ld(X2,X2)),X1),ld(mult(X1,ld(X2,X2)),X1)),ld(X2,X2)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.674.0.0','0.83.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.674.0.2',plain,
% 1.86/2.26 ( rd(ld(ld(X1,X1),ld(mult(X1,ld(X2,X2)),X1)),ld(X1,X1)) = rd(ld(ld(mult(X1,ld(X2,X2)),X1),ld(mult(X1,ld(X2,X2)),X1)),ld(X2,X2)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.674.0.1','0.43.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2','L')]).
% 1.86/2.26 cnf('0.674.0.3',plain,
% 1.86/2.26 ( ld(ld(X1,X1),mult(ld(mult(X1,ld(X2,X2)),X1),ld(X1,X1))) = rd(ld(ld(mult(X1,ld(X2,X2)),X1),ld(mult(X1,ld(X2,X2)),X1)),ld(X2,X2)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.674.0.2','0.202.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.674.0.4',plain,
% 1.86/2.26 ( ld(ld(X1,X1),ld(ld(mult(X2,ld(X1,X1)),X2),ld(X1,X1))) = rd(ld(ld(mult(X1,ld(X2,X2)),X1),ld(mult(X1,ld(X2,X2)),X1)),ld(X2,X2)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.674.0.3','0.231.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.674.0.5',plain,
% 1.86/2.26 ( ld(ld(X1,X1),ld(ld(mult(X2,ld(X1,X1)),X2),ld(X1,X1))) = ld(mult(ld(mult(X1,ld(X2,X2)),X1),ld(X2,X2)),ld(mult(X1,ld(X2,X2)),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.674.0.4','0.173.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.674.0.6',plain,
% 1.86/2.26 ( ld(ld(X1,X1),ld(ld(mult(X2,ld(X1,X1)),X2),ld(X1,X1))) = ld(ld(ld(mult(X2,ld(X1,X1)),X2),ld(X2,X2)),ld(mult(X1,ld(X2,X2)),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.674.0.5','0.231.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1','L')]).
% 1.86/2.26 cnf('0.674.0.7',plain,
% 1.86/2.26 ( ld(ld(X1,X1),ld(ld(mult(X2,ld(X1,X1)),X2),ld(X1,X1))) = ld(ld(X1,X1),ld(mult(X1,ld(X2,X2)),X1)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.674.0.6','0.174.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.1','L')]).
% 1.86/2.26 cnf('0.674.1.0',plain,
% 1.86/2.26 ( ld(ld(mult(X2,ld(X1,X1)),X2),ld(X1,X1)) = ld(mult(X1,ld(X2,X2)),X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.674.0.7']),
% 1.86/2.26 [weight('<227,666,174,[1,0,0,4]>')]).
% 1.86/2.26 cnf('0.674.2.0',plain,
% 1.86/2.26 ( ld(ld(mult(X1,ld(X2,X2)),X1),ld(X2,X2)) = ld(mult(X2,ld(X1,X1)),X2) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.674.1.0',theory(equality)]),
% 1.86/2.26 [u,rule_652]).
% 1.86/2.26 cnf('0.675.0.0',plain,
% 1.86/2.26 ( ld(rd(ld(X1,X1),rd(ld(mult(X2,ld(X1,X1)),X2),ld(X1,X1))),ld(mult(X2,ld(X1,X1)),X2)) = mult(ld(mult(X2,ld(X1,X1)),X2),rd(X3,mult(mult(ld(mult(X1,ld(X2,X2)),X1),ld(X1,X1)),X3))) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.652.2.0','0.674.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2.2.1.1','L')]).
% 1.86/2.26 cnf('0.675.0.1',plain,
% 1.86/2.26 ( ld(rd(x1,mult(mult(ld(mult(X2,ld(X1,X1)),X2),ld(X1,X1)),x1)),ld(mult(X2,ld(X1,X1)),X2)) = mult(ld(mult(X2,ld(X1,X1)),X2),rd(X3,mult(mult(ld(mult(X1,ld(X2,X2)),X1),ld(X1,X1)),X3))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.675.0.0','0.416.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.675.0.2',plain,
% 1.86/2.26 ( mult(mult(ld(mult(X2,ld(X1,X1)),X2),ld(X1,X1)),ld(mult(X2,ld(X1,X1)),X2)) = mult(ld(mult(X2,ld(X1,X1)),X2),rd(X3,mult(mult(ld(mult(X1,ld(X2,X2)),X1),ld(X1,X1)),X3))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.675.0.1','0.23.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.675.0.3',plain,
% 1.86/2.26 ( ld(mult(ld(mult(X2,ld(X1,X1)),X2),ld(X1,X1)),ld(mult(X2,ld(X1,X1)),X2)) = mult(ld(mult(X2,ld(X1,X1)),X2),rd(X3,mult(mult(ld(mult(X1,ld(X2,X2)),X1),ld(X1,X1)),X3))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.675.0.2','0.246.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.675.0.4',plain,
% 1.86/2.26 ( ld(ld(ld(mult(X1,ld(X2,X2)),X1),ld(X1,X1)),ld(mult(X2,ld(X1,X1)),X2)) = mult(ld(mult(X2,ld(X1,X1)),X2),rd(X3,mult(mult(ld(mult(X1,ld(X2,X2)),X1),ld(X1,X1)),X3))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.675.0.3','0.231.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.675.0.5',plain,
% 1.86/2.26 ( ld(ld(X2,X2),ld(mult(X2,ld(X1,X1)),X2)) = mult(ld(mult(X2,ld(X1,X1)),X2),rd(X3,mult(mult(ld(mult(X1,ld(X2,X2)),X1),ld(X1,X1)),X3))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.675.0.4','0.174.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.1','L')]).
% 1.86/2.26 cnf('0.675.0.6',plain,
% 1.86/2.26 ( ld(ld(X2,X2),ld(mult(X2,ld(X1,X1)),X2)) = ld(ld(mult(X1,ld(X2,X2)),X1),rd(X3,mult(mult(ld(mult(X1,ld(X2,X2)),X1),ld(X1,X1)),X3))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.675.0.5','0.231.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.675.0.7',plain,
% 1.86/2.26 ( ld(ld(X2,X2),ld(mult(X2,ld(X1,X1)),X2)) = ld(ld(mult(X1,ld(X2,X2)),X1),rd(X3,mult(ld(ld(mult(X2,ld(X1,X1)),X2),ld(X1,X1)),X3))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.675.0.6','0.231.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2.1','L')]).
% 1.86/2.26 cnf('0.675.0.8',plain,
% 1.86/2.26 ( ld(ld(X2,X2),ld(mult(X2,ld(X1,X1)),X2)) = ld(ld(mult(X1,ld(X2,X2)),X1),rd(X3,mult(ld(mult(X1,ld(X2,X2)),X1),X3))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.675.0.7','0.674.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2.1','L')]).
% 1.86/2.26 cnf('0.675.0.9',plain,
% 1.86/2.26 ( ld(ld(X2,X2),ld(mult(X2,ld(X1,X1)),X2)) = ld(ld(mult(X1,ld(X2,X2)),X1),rd(X3,ld(ld(mult(X2,ld(X1,X1)),X2),X3))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.675.0.8','0.231.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2','L')]).
% 1.86/2.26 cnf('0.675.0.10',plain,
% 1.86/2.26 ( ld(ld(X2,X2),ld(mult(X2,ld(X1,X1)),X2)) = ld(ld(mult(X1,ld(X2,X2)),X1),ld(mult(X2,ld(X1,X1)),X2)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.675.0.9','0.6.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2','L')]).
% 1.86/2.26 cnf('0.675.1.0',plain,
% 1.86/2.26 ( ld(X2,X2) = ld(mult(X1,ld(X2,X2)),X1) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.675.0.10']),
% 1.86/2.26 [weight('<87,674,652,[0,0,0,6]>')]).
% 1.86/2.26 cnf('0.675.2.0',plain,
% 1.86/2.26 ( ld(mult(X1,ld(X2,X2)),X1) = ld(X2,X2) ),
% 1.86/2.26 inference(orient,[status(thm)],['0.675.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_653]).
% 1.86/2.26 cnf('0.676.0.0',plain,
% 1.86/2.26 ( X1 = mult(mult(X1,ld(X2,X2)),ld(X2,X2)) ),
% 1.86/2.26 inference(cp,[status(thm)],['0.1.2.0','0.675.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('0.676.0.1',plain,
% 1.86/2.26 ( X1 = rd(X1,ld(X2,rd(X2,ld(X2,X2)))) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.676.0.0','0.227.2.0',theory(equality)]),
% 1.86/2.26 [pos('R','L')]).
% 1.86/2.26 cnf('0.676.0.2',plain,
% 1.86/2.26 ( X1 = rd(X1,ld(X2,X2)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.676.0.1','0.6.2.0',theory(equality)]),
% 1.86/2.26 [pos('R.2.2','L')]).
% 1.86/2.26 cnf('0.676.1.0',plain,
% 1.86/2.26 ( X1 = rd(X1,ld(X2,X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.676.0.2']),
% 1.86/2.26 [weight('<41,675,1,[0,0,0,2]>')]).
% 1.86/2.26 cnf('0.676.2.0',plain,
% 1.86/2.26 ( rd(X1,ld(X2,X2)) = X1 ),
% 1.86/2.26 inference(orient,[status(thm)],['0.676.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_654]).
% 1.86/2.26 cnf('0.677.0.0',plain,
% 1.86/2.26 ( rd(rd(X1,ld(X2,X2)),ld(X2,X2)) = mult(X1,ld(X2,X2)) ),
% 1.86/2.26 inference(interreduction_right,[status(thm)],['0.123.2.0'])).
% 1.86/2.26 cnf('0.677.0.1',plain,
% 1.86/2.26 ( rd(X1,ld(X2,X2)) = mult(X1,ld(X2,X2)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.677.0.0','0.676.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.677.0.2',plain,
% 1.86/2.26 ( X1 = mult(X1,ld(X2,X2)) ),
% 1.86/2.26 inference(reduction,[status(thm)],['0.677.0.1','0.676.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('0.677.1.0',plain,
% 1.86/2.26 ( X1 = mult(X1,ld(X2,X2)) ),
% 1.86/2.26 inference(weigh,[status(thm)],['0.677.0.2']),
% 1.86/2.26 [weight('<41,123,676,[0,0,0,0]>')]).
% 1.86/2.26 cnf('0.677.2.0',plain,
% 1.86/2.26 ( mult(X1,ld(X2,X2)) = X1 ),
% 1.86/2.26 inference(orient,[status(thm)],['0.677.1.0',theory(equality)]),
% 1.86/2.26 [x,rule_655]).
% 1.86/2.26 cnf('1.0.0.0',conjecture,
% 1.86/2.26 ( mult(x0,rd(x1,x1)) = x0 ),
% 1.86/2.26 file('/tmp/WALDMEISTER_23458_n019',conjecture_1)).
% 1.86/2.26 cnf('1.0.0.1',plain,
% 1.86/2.26 ( mult(x0,ld(x1,x1)) = x0 ),
% 1.86/2.26 inference(reduction,[status(thm)],['1.0.0.0','0.42.2.0',theory(equality)]),
% 1.86/2.26 [pos('L.2','L')]).
% 1.86/2.26 cnf('1.0.0.2',plain,
% 1.86/2.26 ( x0 = x0 ),
% 1.86/2.26 inference(reduction,[status(thm)],['1.0.0.1','0.677.2.0',theory(equality)]),
% 1.86/2.26 [pos('L','L')]).
% 1.86/2.26 cnf('1.0.0.3',plain,
% 1.86/2.26 ( $true ),
% 1.86/2.26 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 1.86/2.26 [conjecture_1]).
% 1.86/2.26
% 1.86/2.26 Proved Goals:
% 1.86/2.26 No. 1: mult(x0,rd(x1,x1)) ?= x0 joined, current: x0 = x0
% 1.86/2.26 1 goal was specified, which was proved.
% 1.86/2.26 % SZS output end CNFRefutation
% 1.86/2.26 #END OF PROOF
% 1.86/2.26
% 1.86/2.26 Problem WALDMEISTER_23458_n019
% 1.86/2.26 CPs.gen 196204
% 1.86/2.26 CPs.reexp 0
% 1.86/2.26 Select 5818
% 1.86/2.26 R 655
% 1.86/2.26 E 22
% 1.86/2.26 vsize 8.5M
% 1.86/2.26 rss 4.1M
% 1.86/2.26 process.time 1.277s
% 1.86/2.26 wallclock.time 1.277s
% 1.86/2.26 status S
% 1.86/2.26
% 1.86/2.26
% 1.86/2.26 Waldmeister states: Goal proved.
% 1.86/2.26 % SZS status Unsatisfiable
%------------------------------------------------------------------------------