TSTP Solution File: GRP667-10 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP667-10 : TPTP v8.1.0. Released v7.5.0.
% 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 12:27:45 EDT 2022
% Result : Unsatisfiable 9.00s 9.45s
% Output : CNFRefutation 9.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP667-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 23:04:40 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.98 * |/ | \/ | *
% 0.58/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.98 * A. Jaeger and B. Loechner | | *
% 0.58/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.98
% 0.58/0.98 Goals:
% 0.58/0.98 ------
% 0.58/0.98
% 0.58/0.98 ( 1) mult(mult(mult(a,b),a),c) ?=? mult(a,mult(b,mult(a,c)))
% 0.58/0.98
% 0.58/0.98 Detected structure: Loop
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 9.00/9.45 joined goal: 1 mult(mult(mult(a,b),a),c) ?= mult(a,mult(b,mult(a,c))) to mult(a,mult(b,mult(a,c)))
% 9.00/9.45 goal joined
% 9.00/9.45 % SZS status Unsatisfiable
% 9.00/9.45 #START OF PROOF
% 9.00/9.45 % SZS output start CNFRefutation
% 9.00/9.45 cnf('0.1.0.0',axiom,
% 9.00/9.45 ( X1 = mult(X2,ld(X2,X1)) ),
% 9.00/9.45 file('/tmp/WALDMEISTER_15537_n019')).
% 9.00/9.45 cnf('0.1.1.0',plain,
% 9.00/9.45 ( X1 = mult(X2,ld(X2,X1)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.1.0.0']),
% 9.00/9.45 [weight('<0,0,0,[0,0,0,1]>')]).
% 9.00/9.45 cnf('0.1.2.0',plain,
% 9.00/9.45 ( mult(X1,ld(X1,X2)) = X2 ),
% 9.00/9.45 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_1]).
% 9.00/9.45 cnf('0.2.0.0',axiom,
% 9.00/9.45 ( X1 = mult(X1,unit) ),
% 9.00/9.45 file('/tmp/WALDMEISTER_15537_n019')).
% 9.00/9.45 cnf('0.2.1.0',plain,
% 9.00/9.45 ( X1 = mult(X1,unit) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.2.0.0']),
% 9.00/9.45 [weight('<1,0,0,[0,0,0,2]>')]).
% 9.00/9.45 cnf('0.2.2.0',plain,
% 9.00/9.45 ( mult(X1,unit) = X1 ),
% 9.00/9.45 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_2]).
% 9.00/9.45 cnf('0.3.0.0',axiom,
% 9.00/9.45 ( X1 = mult(unit,X1) ),
% 9.00/9.45 file('/tmp/WALDMEISTER_15537_n019')).
% 9.00/9.45 cnf('0.3.1.0',plain,
% 9.00/9.45 ( X1 = mult(unit,X1) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.3.0.0']),
% 9.00/9.45 [weight('<2,0,0,[0,0,0,3]>')]).
% 9.00/9.45 cnf('0.3.2.0',plain,
% 9.00/9.45 ( mult(unit,X1) = X1 ),
% 9.00/9.45 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_3]).
% 9.00/9.45 cnf('0.4.0.0',axiom,
% 9.00/9.45 ( X1 = mult(f(X1),f(X1)) ),
% 9.00/9.45 file('/tmp/WALDMEISTER_15537_n019')).
% 9.00/9.45 cnf('0.4.1.0',plain,
% 9.00/9.45 ( X1 = mult(f(X1),f(X1)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.4.0.0']),
% 9.00/9.45 [weight('<3,0,0,[0,0,0,4]>')]).
% 9.00/9.45 cnf('0.4.2.0',plain,
% 9.00/9.45 ( mult(f(X1),f(X1)) = X1 ),
% 9.00/9.45 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_4]).
% 9.00/9.45 cnf('0.5.0.0',axiom,
% 9.00/9.45 ( X1 = mult(rd(X1,X2),X2) ),
% 9.00/9.45 file('/tmp/WALDMEISTER_15537_n019')).
% 9.00/9.45 cnf('0.5.1.0',plain,
% 9.00/9.45 ( X1 = mult(rd(X1,X2),X2) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.5.0.0']),
% 9.00/9.45 [weight('<4,0,0,[0,0,0,5]>')]).
% 9.00/9.45 cnf('0.5.2.0',plain,
% 9.00/9.45 ( mult(rd(X1,X2),X2) = X1 ),
% 9.00/9.45 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_5]).
% 9.00/9.45 cnf('0.6.0.0',axiom,
% 9.00/9.45 ( X1 = ifeq(X2,X2,X1,X3) ),
% 9.00/9.45 file('/tmp/WALDMEISTER_15537_n019')).
% 9.00/9.45 cnf('0.6.1.0',plain,
% 9.00/9.45 ( X1 = ifeq(X2,X2,X1,X3) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.6.0.0']),
% 9.00/9.45 [weight('<5,0,0,[0,0,0,6]>')]).
% 9.00/9.45 cnf('0.6.2.0',plain,
% 9.00/9.45 ( ifeq(X1,X1,X2,X3) = X2 ),
% 9.00/9.45 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_6]).
% 9.00/9.45 cnf('0.7.0.0',axiom,
% 9.00/9.45 ( X1 = rd(mult(X1,X2),X2) ),
% 9.00/9.45 file('/tmp/WALDMEISTER_15537_n019')).
% 9.00/9.45 cnf('0.7.1.0',plain,
% 9.00/9.45 ( X1 = rd(mult(X1,X2),X2) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.7.0.0']),
% 9.00/9.45 [weight('<6,0,0,[0,0,0,7]>')]).
% 9.00/9.45 cnf('0.7.2.0',plain,
% 9.00/9.45 ( rd(mult(X1,X2),X2) = X1 ),
% 9.00/9.45 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_7]).
% 9.00/9.45 cnf('0.8.0.0',axiom,
% 9.00/9.45 ( X1 = ld(X2,mult(X2,X1)) ),
% 9.00/9.45 file('/tmp/WALDMEISTER_15537_n019')).
% 9.00/9.45 cnf('0.8.1.0',plain,
% 9.00/9.45 ( X1 = ld(X2,mult(X2,X1)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.8.0.0']),
% 9.00/9.45 [weight('<7,0,0,[0,0,0,8]>')]).
% 9.00/9.45 cnf('0.8.2.0',plain,
% 9.00/9.45 ( ld(X1,mult(X1,X2)) = X2 ),
% 9.00/9.45 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_8]).
% 9.00/9.45 cnf('0.9.0.0',axiom,
% 9.00/9.45 ( mult(X1,mult(X2,X1)) = mult(mult(X1,X2),X1) ),
% 9.00/9.45 file('/tmp/WALDMEISTER_15537_n019')).
% 9.00/9.45 cnf('0.9.1.0',plain,
% 9.00/9.45 ( mult(X1,mult(X2,X1)) = mult(mult(X1,X2),X1) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.9.0.0']),
% 9.00/9.45 [weight('<8,0,0,[0,0,0,9]>')]).
% 9.00/9.45 cnf('0.9.2.0',plain,
% 9.00/9.45 ( mult(mult(X1,X2),X1) = mult(X1,mult(X2,X1)) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_9]).
% 9.00/9.45 cnf('0.10.0.0',axiom,
% 9.00/9.45 ( mult(mult(X1,X2),mult(mult(X3,X2),X3)) = mult(mult(X1,mult(mult(X2,X3),X2)),X3) ),
% 9.00/9.45 file('/tmp/WALDMEISTER_15537_n019')).
% 9.00/9.45 cnf('0.10.1.0',plain,
% 9.00/9.45 ( mult(mult(X1,X2),mult(mult(X3,X2),X3)) = mult(mult(X1,mult(mult(X2,X3),X2)),X3) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.10.0.0']),
% 9.00/9.45 [weight('<9,0,0,[0,0,0,10]>')]).
% 9.00/9.45 cnf('0.10.1.1',plain,
% 9.00/9.45 ( mult(mult(X1,X2),mult(X3,mult(X2,X3))) = mult(mult(X1,mult(mult(X2,X3),X2)),X3) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.10.1.0','0.9.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.10.1.2',plain,
% 9.00/9.45 ( mult(mult(X1,X2),mult(X3,mult(X2,X3))) = mult(mult(X1,mult(X2,mult(X3,X2))),X3) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.10.1.1','0.9.2.0',theory(equality)]),
% 9.00/9.45 [pos('R.1.2','L')]).
% 9.00/9.45 cnf('0.10.2.0',plain,
% 9.00/9.45 ( mult(mult(X1,mult(X2,mult(X3,X2))),X3) = mult(mult(X1,X2),mult(X3,mult(X2,X3))) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.10.1.2',theory(equality)]),
% 9.00/9.45 [x,rule_10]).
% 9.00/9.45 cnf('0.11.0.0',axiom,
% 9.00/9.45 ( mult(mult(mult(X1,X2),X1),X3) = ifeq(mult(X2,mult(X1,mult(X3,X1))),mult(mult(mult(X2,X1),X3),X1),mult(X1,mult(X2,mult(X1,X3))),mult(mult(mult(X1,X2),X1),X3)) ),
% 9.00/9.45 file('/tmp/WALDMEISTER_15537_n019')).
% 9.00/9.45 cnf('0.11.1.0',plain,
% 9.00/9.45 ( mult(mult(mult(X1,X2),X1),X3) = ifeq(mult(X2,mult(X1,mult(X3,X1))),mult(mult(mult(X2,X1),X3),X1),mult(X1,mult(X2,mult(X1,X3))),mult(mult(mult(X1,X2),X1),X3)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.11.0.0']),
% 9.00/9.45 [weight('<10,0,0,[0,0,0,11]>')]).
% 9.00/9.45 cnf('0.11.1.1',plain,
% 9.00/9.45 ( mult(mult(X1,mult(X2,X1)),X3) = ifeq(mult(X2,mult(X1,mult(X3,X1))),mult(mult(mult(X2,X1),X3),X1),mult(X1,mult(X2,mult(X1,X3))),mult(mult(mult(X1,X2),X1),X3)) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.11.1.0','0.9.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.11.1.2',plain,
% 9.00/9.45 ( mult(mult(X1,mult(X2,X1)),X3) = ifeq(mult(X2,mult(X1,mult(X3,X1))),mult(mult(mult(X2,X1),X3),X1),mult(X1,mult(X2,mult(X1,X3))),mult(mult(X1,mult(X2,X1)),X3)) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.11.1.1','0.9.2.0',theory(equality)]),
% 9.00/9.45 [pos('R.4.1','L')]).
% 9.00/9.45 cnf('0.11.2.0',plain,
% 9.00/9.45 ( ifeq(mult(X1,mult(X2,mult(X3,X2))),mult(mult(mult(X1,X2),X3),X2),mult(X2,mult(X1,mult(X2,X3))),mult(mult(X2,mult(X1,X2)),X3)) = mult(mult(X2,mult(X1,X2)),X3) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.11.1.2',theory(equality)]),
% 9.00/9.45 [x,rule_11]).
% 9.00/9.45 cnf('0.13.0.0',plain,
% 9.00/9.45 ( ld(unit,X1) = X1 ),
% 9.00/9.45 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 9.00/9.45 [pos('L','L')]).
% 9.00/9.45 cnf('0.13.1.0',plain,
% 9.00/9.45 ( ld(unit,X1) = X1 ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.13.0.0']),
% 9.00/9.45 [weight('<19,3,1,[1,0,0,0]>')]).
% 9.00/9.45 cnf('0.13.2.0',plain,
% 9.00/9.45 ( ld(unit,X1) = X1 ),
% 9.00/9.45 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 9.00/9.45 [u,rule_13]).
% 9.00/9.45 cnf('0.14.0.0',plain,
% 9.00/9.45 ( X1 = rd(X1,unit) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 9.00/9.45 [pos('L','L')]).
% 9.00/9.45 cnf('0.14.1.0',plain,
% 9.00/9.45 ( X1 = rd(X1,unit) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.14.0.0']),
% 9.00/9.45 [weight('<19,5,2,[1,0,0,0]>')]).
% 9.00/9.45 cnf('0.14.2.0',plain,
% 9.00/9.45 ( rd(X1,unit) = X1 ),
% 9.00/9.45 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_14]).
% 9.00/9.45 cnf('0.17.0.0',plain,
% 9.00/9.45 ( f(X1) = rd(X1,f(X1)) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.7.2.0','0.4.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.17.1.0',plain,
% 9.00/9.45 ( f(X1) = rd(X1,f(X1)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.17.0.0']),
% 9.00/9.45 [weight('<34,7,4,[1,0,0,1]>')]).
% 9.00/9.45 cnf('0.17.2.0',plain,
% 9.00/9.45 ( rd(X1,f(X1)) = f(X1) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_17]).
% 9.00/9.45 cnf('0.19.0.0',plain,
% 9.00/9.45 ( X1 = rd(X2,ld(X1,X2)) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.19.1.0',plain,
% 9.00/9.45 ( X1 = rd(X2,ld(X1,X2)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.19.0.0']),
% 9.00/9.45 [weight('<41,7,1,[1,0,0,1]>')]).
% 9.00/9.45 cnf('0.19.2.0',plain,
% 9.00/9.45 ( rd(X1,ld(X2,X1)) = X2 ),
% 9.00/9.45 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_19]).
% 9.00/9.45 cnf('0.20.0.0',plain,
% 9.00/9.45 ( X1 = ld(rd(X2,X1),X2) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.8.2.0','0.5.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.20.1.0',plain,
% 9.00/9.45 ( X1 = ld(rd(X2,X1),X2) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.20.0.0']),
% 9.00/9.45 [weight('<41,8,5,[1,0,0,2]>')]).
% 9.00/9.45 cnf('0.20.2.0',plain,
% 9.00/9.45 ( ld(rd(X1,X2),X1) = X2 ),
% 9.00/9.45 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_20]).
% 9.00/9.45 cnf('0.21.0.0',plain,
% 9.00/9.45 ( mult(f(X1),mult(f(X1),f(X1))) = mult(X1,f(X1)) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.21.0.1',plain,
% 9.00/9.45 ( mult(f(X1),X1) = mult(X1,f(X1)) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.21.0.0','0.4.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.21.1.0',plain,
% 9.00/9.45 ( mult(f(X1),X1) = mult(X1,f(X1)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.21.0.1']),
% 9.00/9.45 [weight('<44,9,4,[1,0,0,1]>')]).
% 9.00/9.45 cnf('0.21.2.0',plain,
% 9.00/9.45 ( mult(f(X1),X1) = mult(X1,f(X1)) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 9.00/9.45 [u,rule_21]).
% 9.00/9.45 cnf('0.23.0.0',plain,
% 9.00/9.45 ( mult(mult(X1,X2),mult(unit,mult(X2,unit))) = mult(X1,mult(X2,mult(unit,X2))) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.10.2.0','0.2.2.0',theory(equality)]),
% 9.00/9.45 [pos('L','L')]).
% 9.00/9.45 cnf('0.23.0.1',plain,
% 9.00/9.45 ( mult(mult(X1,X2),mult(X2,unit)) = mult(X1,mult(X2,mult(unit,X2))) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.23.0.0','0.3.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.23.0.2',plain,
% 9.00/9.45 ( mult(mult(X1,X2),X2) = mult(X1,mult(X2,mult(unit,X2))) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.23.0.1','0.2.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.23.0.3',plain,
% 9.00/9.45 ( mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.23.0.2','0.3.2.0',theory(equality)]),
% 9.00/9.45 [pos('R.2.2','L')]).
% 9.00/9.45 cnf('0.23.1.0',plain,
% 9.00/9.45 ( mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.23.0.3']),
% 9.00/9.45 [weight('<65,10,2,[1,0,0,0]>')]).
% 9.00/9.45 cnf('0.23.2.0',plain,
% 9.00/9.45 ( mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 9.00/9.45 [u,rule_23]).
% 9.00/9.45 cnf('0.24.0.0',plain,
% 9.00/9.45 ( mult(mult(X1,mult(unit,X1)),X2) = ifeq(mult(X1,mult(X2,X1)),mult(mult(mult(unit,X1),X2),X1),mult(X1,mult(unit,mult(X1,X2))),mult(mult(X1,mult(unit,X1)),X2)) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.11.2.0','0.3.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.24.0.1',plain,
% 9.00/9.45 ( mult(mult(X1,X1),X2) = ifeq(mult(X1,mult(X2,X1)),mult(mult(mult(unit,X1),X2),X1),mult(X1,mult(unit,mult(X1,X2))),mult(mult(X1,mult(unit,X1)),X2)) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.24.0.0','0.3.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1.2','L')]).
% 9.00/9.45 cnf('0.24.0.2',plain,
% 9.00/9.45 ( mult(mult(X1,X1),X2) = ifeq(mult(X1,mult(X2,X1)),mult(mult(X1,X2),X1),mult(X1,mult(unit,mult(X1,X2))),mult(mult(X1,mult(unit,X1)),X2)) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.24.0.1','0.3.2.0',theory(equality)]),
% 9.00/9.45 [pos('R.2.1.1','L')]).
% 9.00/9.45 cnf('0.24.0.3',plain,
% 9.00/9.45 ( mult(mult(X1,X1),X2) = ifeq(mult(X1,mult(X2,X1)),mult(X1,mult(X2,X1)),mult(X1,mult(unit,mult(X1,X2))),mult(mult(X1,mult(unit,X1)),X2)) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.24.0.2','0.9.2.0',theory(equality)]),
% 9.00/9.45 [pos('R.2','L')]).
% 9.00/9.45 cnf('0.24.0.4',plain,
% 9.00/9.45 ( mult(mult(X1,X1),X2) = mult(X1,mult(unit,mult(X1,X2))) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.24.0.3','0.6.2.0',theory(equality)]),
% 9.00/9.45 [pos('R','L')]).
% 9.00/9.45 cnf('0.24.0.5',plain,
% 9.00/9.45 ( mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.24.0.4','0.3.2.0',theory(equality)]),
% 9.00/9.45 [pos('R.2','L')]).
% 9.00/9.45 cnf('0.24.1.0',plain,
% 9.00/9.45 ( mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.24.0.5']),
% 9.00/9.45 [weight('<65,11,3,[1,0,0,1]>')]).
% 9.00/9.45 cnf('0.24.2.0',plain,
% 9.00/9.45 ( mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 9.00/9.45 [u,rule_24]).
% 9.00/9.45 cnf('0.25.0.0',plain,
% 9.00/9.45 ( X1 = ld(f(X1),mult(X1,f(X1))) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.8.2.0','0.21.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.25.1.0',plain,
% 9.00/9.45 ( X1 = ld(f(X1),mult(X1,f(X1))) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.25.0.0']),
% 9.00/9.45 [weight('<71,21,8,[0,0,0,2]>')]).
% 9.00/9.45 cnf('0.25.2.0',plain,
% 9.00/9.45 ( ld(f(X1),mult(X1,f(X1))) = X1 ),
% 9.00/9.45 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_25]).
% 9.00/9.45 cnf('0.26.0.0',plain,
% 9.00/9.45 ( mult(X1,mult(ld(X1,X2),X1)) = mult(X2,X1) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.9.2.0','0.1.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.26.1.0',plain,
% 9.00/9.45 ( mult(X1,mult(ld(X1,X2),X1)) = mult(X2,X1) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.26.0.0']),
% 9.00/9.45 [weight('<87,9,1,[1,0,0,1]>')]).
% 9.00/9.45 cnf('0.26.2.0',plain,
% 9.00/9.45 ( mult(X1,mult(ld(X1,X2),X1)) = mult(X2,X1) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 9.00/9.45 [u,rule_26]).
% 9.00/9.45 cnf('0.27.0.0',plain,
% 9.00/9.45 ( mult(ld(X1,X2),X1) = ld(X1,mult(X2,X1)) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.8.2.0','0.26.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.27.1.0',plain,
% 9.00/9.45 ( mult(ld(X1,X2),X1) = ld(X1,mult(X2,X1)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.27.0.0']),
% 9.00/9.45 [weight('<65,26,8,[0,0,0,2]>')]).
% 9.00/9.45 cnf('0.27.2.0',plain,
% 9.00/9.45 ( mult(ld(X1,X2),X1) = ld(X1,mult(X2,X1)) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 9.00/9.45 [u,rule_27]).
% 9.00/9.45 cnf('0.28.0.0',plain,
% 9.00/9.45 ( ld(f(X1),mult(mult(X1,f(X1)),f(X1))) = mult(X1,f(X1)) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.27.2.0','0.25.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.28.0.1',plain,
% 9.00/9.45 ( ld(f(X1),mult(X1,mult(f(X1),f(X1)))) = mult(X1,f(X1)) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.28.0.0','0.23.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.28.0.2',plain,
% 9.00/9.45 ( ld(f(X1),mult(X1,X1)) = mult(X1,f(X1)) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.28.0.1','0.4.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2.2','L')]).
% 9.00/9.45 cnf('0.28.1.0',plain,
% 9.00/9.45 ( ld(f(X1),mult(X1,X1)) = mult(X1,f(X1)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.28.0.2']),
% 9.00/9.45 [weight('<76,27,25,[1,0,0,1]>')]).
% 9.00/9.45 cnf('0.28.2.0',plain,
% 9.00/9.45 ( ld(f(X1),mult(X1,X1)) = mult(X1,f(X1)) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 9.00/9.45 [u,rule_28]).
% 9.00/9.45 cnf('0.29.0.0',plain,
% 9.00/9.45 ( mult(f(X1),f(f(X1))) = ld(f(f(X1)),X1) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.28.2.0','0.4.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.29.1.0',plain,
% 9.00/9.45 ( mult(f(X1),f(f(X1))) = ld(f(f(X1)),X1) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.29.0.0']),
% 9.00/9.45 [weight('<83,28,4,[1,0,0,3]>')]).
% 9.00/9.45 cnf('0.29.2.0',plain,
% 9.00/9.45 ( mult(f(X1),f(f(X1))) = ld(f(f(X1)),X1) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 9.00/9.45 [u,rule_29]).
% 9.00/9.45 cnf('0.30.0.0',plain,
% 9.00/9.45 ( mult(X1,X2) = rd(mult(X1,mult(X2,X1)),X1) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.7.2.0','0.9.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.30.1.0',plain,
% 9.00/9.45 ( mult(X1,X2) = rd(mult(X1,mult(X2,X1)),X1) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.30.0.0']),
% 9.00/9.45 [weight('<87,9,7,[0,0,0,1]>')]).
% 9.00/9.45 cnf('0.30.2.0',plain,
% 9.00/9.45 ( rd(mult(X1,mult(X2,X1)),X1) = mult(X1,X2) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_30]).
% 9.00/9.45 cnf('0.31.0.0',plain,
% 9.00/9.45 ( mult(X1,rd(X2,X1)) = rd(mult(X1,X2),X1) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.30.2.0','0.5.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1.2','L')]).
% 9.00/9.45 cnf('0.31.1.0',plain,
% 9.00/9.45 ( mult(X1,rd(X2,X1)) = rd(mult(X1,X2),X1) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.31.0.0']),
% 9.00/9.45 [weight('<65,30,5,[1,0,0,3]>')]).
% 9.00/9.45 cnf('0.31.2.0',plain,
% 9.00/9.45 ( mult(X1,rd(X2,X1)) = rd(mult(X1,X2),X1) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 9.00/9.45 [u,rule_31]).
% 9.00/9.45 cnf('0.33.0.0',plain,
% 9.00/9.45 ( mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.23.2.0','0.5.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.33.1.0',plain,
% 9.00/9.45 ( mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.33.0.0']),
% 9.00/9.45 [weight('<87,23,5,[1,0,0,1]>')]).
% 9.00/9.45 cnf('0.33.2.0',plain,
% 9.00/9.45 ( mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 9.00/9.45 [u,rule_33]).
% 9.00/9.45 cnf('0.34.0.0',plain,
% 9.00/9.45 ( mult(X1,f(X2)) = mult(rd(X1,f(X2)),X2) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.33.2.0','0.4.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.34.1.0',plain,
% 9.00/9.45 ( mult(X1,f(X2)) = mult(rd(X1,f(X2)),X2) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.34.0.0']),
% 9.00/9.45 [weight('<76,33,4,[1,0,0,4]>')]).
% 9.00/9.45 cnf('0.34.2.0',plain,
% 9.00/9.45 ( mult(rd(X1,f(X2)),X2) = mult(X1,f(X2)) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_34]).
% 9.00/9.45 cnf('0.42.0.0',plain,
% 9.00/9.45 ( rd(X1,f(X2)) = rd(mult(X1,f(X2)),X2) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.7.2.0','0.34.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.42.1.0',plain,
% 9.00/9.45 ( rd(X1,f(X2)) = rd(mult(X1,f(X2)),X2) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.42.0.0']),
% 9.00/9.45 [weight('<76,34,7,[0,0,0,1]>')]).
% 9.00/9.45 cnf('0.42.2.0',plain,
% 9.00/9.45 ( rd(mult(X1,f(X2)),X2) = rd(X1,f(X2)) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_42]).
% 9.00/9.45 cnf('0.43.0.0',plain,
% 9.00/9.45 ( rd(unit,f(X1)) = rd(f(X1),X1) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.42.2.0','0.3.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.43.1.0',plain,
% 9.00/9.45 ( rd(unit,f(X1)) = rd(f(X1),X1) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.43.0.0']),
% 9.00/9.45 [weight('<44,42,3,[1,0,0,1]>')]).
% 9.00/9.45 cnf('0.43.2.0',plain,
% 9.00/9.45 ( rd(f(X1),X1) = rd(unit,f(X1)) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_43]).
% 9.00/9.45 cnf('0.44.0.0',plain,
% 9.00/9.45 ( rd(mult(X1,f(X1)),X1) = mult(X1,rd(unit,f(X1))) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.31.2.0','0.43.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.44.0.1',plain,
% 9.00/9.45 ( rd(X1,f(X1)) = mult(X1,rd(unit,f(X1))) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.44.0.0','0.42.2.0',theory(equality)]),
% 9.00/9.45 [pos('L','L')]).
% 9.00/9.45 cnf('0.44.0.2',plain,
% 9.00/9.45 ( f(X1) = mult(X1,rd(unit,f(X1))) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.44.0.1','0.17.2.0',theory(equality)]),
% 9.00/9.45 [pos('L','L')]).
% 9.00/9.45 cnf('0.44.1.0',plain,
% 9.00/9.45 ( f(X1) = mult(X1,rd(unit,f(X1))) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.44.0.2']),
% 9.00/9.45 [weight('<62,43,31,[0,0,0,2]>')]).
% 9.00/9.45 cnf('0.44.2.0',plain,
% 9.00/9.45 ( mult(X1,rd(unit,f(X1))) = f(X1) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_44]).
% 9.00/9.45 cnf('0.45.0.0',plain,
% 9.00/9.45 ( mult(rd(unit,f(X1)),X1) = rd(mult(rd(unit,f(X1)),f(X1)),rd(unit,f(X1))) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.30.2.0','0.44.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1.2','L')]).
% 9.00/9.45 cnf('0.45.0.1',plain,
% 9.00/9.45 ( mult(unit,f(X1)) = rd(mult(rd(unit,f(X1)),f(X1)),rd(unit,f(X1))) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.45.0.0','0.34.2.0',theory(equality)]),
% 9.00/9.45 [pos('L','L')]).
% 9.00/9.45 cnf('0.45.0.2',plain,
% 9.00/9.45 ( f(X1) = rd(mult(rd(unit,f(X1)),f(X1)),rd(unit,f(X1))) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.45.0.1','0.3.2.0',theory(equality)]),
% 9.00/9.45 [pos('L','L')]).
% 9.00/9.45 cnf('0.45.0.3',plain,
% 9.00/9.45 ( f(X1) = rd(unit,rd(unit,f(X1))) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.45.0.2','0.5.2.0',theory(equality)]),
% 9.00/9.45 [pos('R.1','L')]).
% 9.00/9.45 cnf('0.45.1.0',plain,
% 9.00/9.45 ( f(X1) = rd(unit,rd(unit,f(X1))) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.45.0.3']),
% 9.00/9.45 [weight('<62,44,30,[0,0,0,3]>')]).
% 9.00/9.45 cnf('0.45.2.0',plain,
% 9.00/9.45 ( rd(unit,rd(unit,f(X1))) = f(X1) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_45]).
% 9.00/9.45 cnf('0.46.0.0',plain,
% 9.00/9.45 ( rd(unit,f(X1)) = ld(f(X1),unit) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.20.2.0','0.45.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.46.1.0',plain,
% 9.00/9.45 ( rd(unit,f(X1)) = ld(f(X1),unit) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.46.0.0']),
% 9.00/9.45 [weight('<44,45,20,[0,0,0,1]>')]).
% 9.00/9.45 cnf('0.46.2.0',plain,
% 9.00/9.45 ( rd(unit,f(X1)) = ld(f(X1),unit) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 9.00/9.45 [u,rule_46]).
% 9.00/9.45 cnf('0.47.0.0',plain,
% 9.00/9.45 ( rd(f(X1),X1) = rd(unit,f(X1)) ),
% 9.00/9.45 inference(interreduction_right,[status(thm)],['0.43.2.0'])).
% 9.00/9.45 cnf('0.47.0.1',plain,
% 9.00/9.45 ( rd(f(X1),X1) = ld(f(X1),unit) ),
% 9.00/9.45 inference(reduction,[status(thm)],['0.47.0.0','0.46.2.0',theory(equality)]),
% 9.00/9.45 [pos('R','L')]).
% 9.00/9.45 cnf('0.47.1.0',plain,
% 9.00/9.45 ( rd(f(X1),X1) = ld(f(X1),unit) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.47.0.1']),
% 9.00/9.45 [weight('<44,43,46,[0,0,0,0]>')]).
% 9.00/9.45 cnf('0.47.2.0',plain,
% 9.00/9.45 ( rd(f(X1),X1) = ld(f(X1),unit) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 9.00/9.45 [u,rule_47]).
% 9.00/9.45 cnf('0.59.0.0',plain,
% 9.00/9.45 ( mult(X1,X2) = rd(mult(X1,mult(X2,X2)),X2) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.7.2.0','0.23.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.59.1.0',plain,
% 9.00/9.45 ( mult(X1,X2) = rd(mult(X1,mult(X2,X2)),X2) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.59.0.0']),
% 9.00/9.45 [weight('<87,23,7,[0,0,0,1]>')]).
% 9.00/9.45 cnf('0.59.2.0',plain,
% 9.00/9.45 ( rd(mult(X1,mult(X2,X2)),X2) = mult(X1,X2) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_58]).
% 9.00/9.45 cnf('0.60.0.0',plain,
% 9.00/9.45 ( mult(X1,f(X2)) = rd(mult(X1,X2),f(X2)) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.59.2.0','0.4.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1.2','L')]).
% 9.00/9.45 cnf('0.60.1.0',plain,
% 9.00/9.45 ( mult(X1,f(X2)) = rd(mult(X1,X2),f(X2)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.60.0.0']),
% 9.00/9.45 [weight('<76,59,4,[1,0,0,3]>')]).
% 9.00/9.45 cnf('0.60.2.0',plain,
% 9.00/9.45 ( rd(mult(X1,X2),f(X2)) = mult(X1,f(X2)) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_59]).
% 9.00/9.45 cnf('0.62.0.0',plain,
% 9.00/9.45 ( mult(f(X1),mult(f(X1),X2)) = mult(X1,X2) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.24.2.0','0.4.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.62.1.0',plain,
% 9.00/9.45 ( mult(f(X1),mult(f(X1),X2)) = mult(X1,X2) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.62.0.0']),
% 9.00/9.45 [weight('<87,24,4,[1,0,0,1]>')]).
% 9.00/9.45 cnf('0.62.2.0',plain,
% 9.00/9.45 ( mult(f(X1),mult(f(X1),X2)) = mult(X1,X2) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 9.00/9.45 [u,rule_61]).
% 9.00/9.45 cnf('0.63.0.0',plain,
% 9.00/9.45 ( mult(X1,ld(f(X1),X2)) = mult(f(X1),X2) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.62.2.0','0.1.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.63.1.0',plain,
% 9.00/9.45 ( mult(X1,ld(f(X1),X2)) = mult(f(X1),X2) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.63.0.0']),
% 9.00/9.45 [weight('<76,62,1,[1,0,0,3]>')]).
% 9.00/9.45 cnf('0.63.2.0',plain,
% 9.00/9.45 ( mult(X1,ld(f(X1),X2)) = mult(f(X1),X2) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 9.00/9.45 [u,rule_62]).
% 9.00/9.45 cnf('0.64.0.0',plain,
% 9.00/9.45 ( mult(f(X1),X2) = ld(f(X1),mult(X1,X2)) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.8.2.0','0.62.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.64.1.0',plain,
% 9.00/9.45 ( mult(f(X1),X2) = ld(f(X1),mult(X1,X2)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.64.0.0']),
% 9.00/9.45 [weight('<76,62,8,[0,0,0,2]>')]).
% 9.00/9.45 cnf('0.64.2.0',plain,
% 9.00/9.45 ( ld(f(X1),mult(X1,X2)) = mult(f(X1),X2) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_63]).
% 9.00/9.45 cnf('0.65.0.0',plain,
% 9.00/9.45 ( ld(f(X1),X2) = ld(X1,mult(f(X1),X2)) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.8.2.0','0.63.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.65.1.0',plain,
% 9.00/9.45 ( ld(f(X1),X2) = ld(X1,mult(f(X1),X2)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.65.0.0']),
% 9.00/9.45 [weight('<76,63,8,[0,0,0,2]>')]).
% 9.00/9.45 cnf('0.65.2.0',plain,
% 9.00/9.45 ( ld(X1,mult(f(X1),X2)) = ld(f(X1),X2) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_64]).
% 9.00/9.45 cnf('0.66.0.0',plain,
% 9.00/9.45 ( mult(f(X1),ld(X1,X2)) = ld(f(X1),X2) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.64.2.0','0.1.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.66.1.0',plain,
% 9.00/9.45 ( mult(f(X1),ld(X1,X2)) = ld(f(X1),X2) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.66.0.0']),
% 9.00/9.45 [weight('<76,64,1,[1,0,0,3]>')]).
% 9.00/9.45 cnf('0.66.2.0',plain,
% 9.00/9.45 ( mult(f(X1),ld(X1,X2)) = ld(f(X1),X2) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 9.00/9.45 [u,rule_65]).
% 9.00/9.45 cnf('0.67.0.0',plain,
% 9.00/9.45 ( mult(X1,X1) = rd(mult(X1,mult(X1,X2)),X2) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.7.2.0','0.24.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.67.1.0',plain,
% 9.00/9.45 ( mult(X1,X1) = rd(mult(X1,mult(X1,X2)),X2) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.67.0.0']),
% 9.00/9.45 [weight('<87,24,7,[0,0,0,1]>')]).
% 9.00/9.45 cnf('0.67.2.0',plain,
% 9.00/9.45 ( rd(mult(X1,mult(X1,X2)),X2) = mult(X1,X1) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_66]).
% 9.00/9.45 cnf('0.68.0.0',plain,
% 9.00/9.45 ( ld(X1,X2) = rd(ld(X1,mult(X2,X1)),X1) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.7.2.0','0.27.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.68.1.0',plain,
% 9.00/9.45 ( ld(X1,X2) = rd(ld(X1,mult(X2,X1)),X1) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.68.0.0']),
% 9.00/9.45 [weight('<87,27,7,[0,0,0,1]>')]).
% 9.00/9.45 cnf('0.68.2.0',plain,
% 9.00/9.45 ( rd(ld(X1,mult(X2,X1)),X1) = ld(X1,X2) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_67]).
% 9.00/9.45 cnf('0.71.0.0',plain,
% 9.00/9.45 ( ld(X1,rd(X2,X1)) = rd(ld(X1,X2),X1) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.68.2.0','0.5.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1.2','L')]).
% 9.00/9.45 cnf('0.71.1.0',plain,
% 9.00/9.45 ( ld(X1,rd(X2,X1)) = rd(ld(X1,X2),X1) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.71.0.0']),
% 9.00/9.45 [weight('<65,68,5,[1,0,0,3]>')]).
% 9.00/9.45 cnf('0.71.2.0',plain,
% 9.00/9.45 ( rd(ld(X1,X2),X1) = ld(X1,rd(X2,X1)) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_70]).
% 9.00/9.45 cnf('0.79.0.0',plain,
% 9.00/9.45 ( rd(X1,X2) = ld(X2,rd(mult(X2,X1),X2)) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.8.2.0','0.31.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.79.1.0',plain,
% 9.00/9.45 ( rd(X1,X2) = ld(X2,rd(mult(X2,X1),X2)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.79.0.0']),
% 9.00/9.45 [weight('<87,31,8,[0,0,0,2]>')]).
% 9.00/9.45 cnf('0.79.2.0',plain,
% 9.00/9.45 ( ld(X1,rd(mult(X1,X2),X1)) = rd(X2,X1) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_78]).
% 9.00/9.45 cnf('0.81.0.0',plain,
% 9.00/9.45 ( rd(X1,X2) = rd(mult(X1,X2),mult(X2,X2)) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.7.2.0','0.33.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.81.1.0',plain,
% 9.00/9.45 ( rd(X1,X2) = rd(mult(X1,X2),mult(X2,X2)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.81.0.0']),
% 9.00/9.45 [weight('<87,33,7,[0,0,0,1]>')]).
% 9.00/9.45 cnf('0.81.2.0',plain,
% 9.00/9.45 ( rd(mult(X1,X2),mult(X2,X2)) = rd(X1,X2) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 9.00/9.45 [x,rule_80]).
% 9.00/9.45 cnf('0.82.0.0',plain,
% 9.00/9.45 ( rd(rd(X1,X2),X2) = rd(X1,mult(X2,X2)) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.81.2.0','0.5.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.1','L')]).
% 9.00/9.45 cnf('0.82.1.0',plain,
% 9.00/9.45 ( rd(rd(X1,X2),X2) = rd(X1,mult(X2,X2)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.82.0.0']),
% 9.00/9.45 [weight('<65,81,5,[1,0,0,1]>')]).
% 9.00/9.45 cnf('0.82.2.0',plain,
% 9.00/9.45 ( rd(rd(X1,X2),X2) = rd(X1,mult(X2,X2)) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 9.00/9.45 [u,rule_81]).
% 9.00/9.45 cnf('0.84.0.0',plain,
% 9.00/9.45 ( mult(X1,X1) = ld(rd(X2,X1),mult(X2,X1)) ),
% 9.00/9.45 inference(cp,[status(thm)],['0.8.2.0','0.33.2.0',theory(equality)]),
% 9.00/9.45 [pos('L.2','L')]).
% 9.00/9.45 cnf('0.84.1.0',plain,
% 9.00/9.45 ( mult(X1,X1) = ld(rd(X2,X1),mult(X2,X1)) ),
% 9.00/9.45 inference(weigh,[status(thm)],['0.84.0.0']),
% 9.00/9.45 [weight('<87,33,8,[0,0,0,2]>')]).
% 9.00/9.45 cnf('0.84.2.0',plain,
% 9.00/9.45 ( ld(rd(X1,X2),mult(X1,X2)) = mult(X2,X2) ),
% 9.00/9.45 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_83]).
% 9.00/9.46 cnf('0.87.0.0',plain,
% 9.00/9.46 ( mult(X1,X1) = mult(f(X1),mult(X1,f(X1))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.62.2.0','0.21.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.87.1.0',plain,
% 9.00/9.46 ( mult(X1,X1) = mult(f(X1),mult(X1,f(X1))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.87.0.0']),
% 9.00/9.46 [weight('<87,62,21,[1,0,0,3]>')]).
% 9.00/9.46 cnf('0.87.2.0',plain,
% 9.00/9.46 ( mult(f(X1),mult(X1,f(X1))) = mult(X1,X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_86]).
% 9.00/9.46 cnf('0.88.0.0',plain,
% 9.00/9.46 ( ld(f(X1),ld(f(X1),X2)) = ld(X1,X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.65.2.0','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.88.1.0',plain,
% 9.00/9.46 ( ld(f(X1),ld(f(X1),X2)) = ld(X1,X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.88.0.0']),
% 9.00/9.46 [weight('<87,65,1,[1,0,0,2]>')]).
% 9.00/9.46 cnf('0.88.2.0',plain,
% 9.00/9.46 ( ld(f(X1),ld(f(X1),X2)) = ld(X1,X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_87]).
% 9.00/9.46 cnf('0.89.0.0',plain,
% 9.00/9.46 ( mult(X1,X1) = rd(mult(X1,X2),ld(X1,X2)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.67.2.0','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1.2','L')]).
% 9.00/9.46 cnf('0.89.1.0',plain,
% 9.00/9.46 ( mult(X1,X1) = rd(mult(X1,X2),ld(X1,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.89.0.0']),
% 9.00/9.46 [weight('<87,67,1,[1,0,0,3]>')]).
% 9.00/9.46 cnf('0.89.2.0',plain,
% 9.00/9.46 ( rd(mult(X1,X2),ld(X1,X2)) = mult(X1,X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_88]).
% 9.00/9.46 cnf('0.92.0.0',plain,
% 9.00/9.46 ( mult(X1,X1) = rd(X2,ld(X1,ld(X1,X2))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.89.2.0','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.92.1.0',plain,
% 9.00/9.46 ( mult(X1,X1) = rd(X2,ld(X1,ld(X1,X2))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.92.0.0']),
% 9.00/9.46 [weight('<87,89,1,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.92.2.0',plain,
% 9.00/9.46 ( rd(X1,ld(X2,ld(X2,X1))) = mult(X2,X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.92.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_91]).
% 9.00/9.46 cnf('0.93.0.0',plain,
% 9.00/9.46 ( ld(X1,ld(X1,X2)) = ld(mult(X1,X1),X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.20.2.0','0.92.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.93.1.0',plain,
% 9.00/9.46 ( ld(X1,ld(X1,X2)) = ld(mult(X1,X1),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.93.0.0']),
% 9.00/9.46 [weight('<65,92,20,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.93.2.0',plain,
% 9.00/9.46 ( ld(mult(X1,X1),X2) = ld(X1,ld(X1,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_92]).
% 9.00/9.46 cnf('0.98.0.0',plain,
% 9.00/9.46 ( mult(mult(f(X1),mult(X2,f(X1))),f(X1)) = mult(mult(f(X1),X2),X1) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.34.2.0','0.30.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.98.0.1',plain,
% 9.00/9.46 ( mult(f(X1),mult(mult(X2,f(X1)),f(X1))) = mult(mult(f(X1),X2),X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.98.0.0','0.9.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.98.0.2',plain,
% 9.00/9.46 ( mult(f(X1),mult(X2,mult(f(X1),f(X1)))) = mult(mult(f(X1),X2),X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.98.0.1','0.23.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.98.0.3',plain,
% 9.00/9.46 ( mult(f(X1),mult(X2,X1)) = mult(mult(f(X1),X2),X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.98.0.2','0.4.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.2','L')]).
% 9.00/9.46 cnf('0.98.1.0',plain,
% 9.00/9.46 ( mult(f(X1),mult(X2,X1)) = mult(mult(f(X1),X2),X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.98.0.3']),
% 9.00/9.46 [weight('<90,34,30,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.98.2.0',plain,
% 9.00/9.46 ( mult(mult(f(X1),X2),X1) = mult(f(X1),mult(X2,X1)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_97]).
% 9.00/9.46 cnf('0.102.0.0',plain,
% 9.00/9.46 ( mult(mult(X1,mult(f(X2),f(X2))),f(X2)) = mult(mult(X1,f(X2)),X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.34.2.0','0.59.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.102.0.1',plain,
% 9.00/9.46 ( mult(mult(X1,X2),f(X2)) = mult(mult(X1,f(X2)),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.102.0.0','0.4.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1.2','L')]).
% 9.00/9.46 cnf('0.102.1.0',plain,
% 9.00/9.46 ( mult(mult(X1,X2),f(X2)) = mult(mult(X1,f(X2)),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.102.0.1']),
% 9.00/9.46 [weight('<90,59,34,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.102.2.0',plain,
% 9.00/9.46 ( mult(mult(X1,f(X2)),X2) = mult(mult(X1,X2),f(X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_101]).
% 9.00/9.46 cnf('0.104.0.0',plain,
% 9.00/9.46 ( mult(f(X1),mult(mult(f(X1),X2),f(X1))) = mult(mult(X1,X2),f(X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.9.2.0','0.62.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.104.0.1',plain,
% 9.00/9.46 ( mult(f(X1),mult(f(X1),mult(X2,f(X1)))) = mult(mult(X1,X2),f(X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.104.0.0','0.9.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.104.0.2',plain,
% 9.00/9.46 ( mult(X1,mult(X2,f(X1))) = mult(mult(X1,X2),f(X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.104.0.1','0.62.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.104.1.0',plain,
% 9.00/9.46 ( mult(X1,mult(X2,f(X1))) = mult(mult(X1,X2),f(X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.104.0.2']),
% 9.00/9.46 [weight('<90,62,9,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.104.2.0',plain,
% 9.00/9.46 ( mult(mult(X1,X2),f(X1)) = mult(X1,mult(X2,f(X1))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_103]).
% 9.00/9.46 cnf('0.108.0.0',plain,
% 9.00/9.46 ( mult(rd(X1,X2),mult(X2,rd(X1,X2))) = mult(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.9.2.0','0.5.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.108.1.0',plain,
% 9.00/9.46 ( mult(rd(X1,X2),mult(X2,rd(X1,X2))) = mult(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.108.0.0']),
% 9.00/9.46 [weight('<?,9,5,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.108.1.1',plain,
% 9.00/9.46 ( mult(rd(X1,X2),rd(mult(X2,X1),X2)) = mult(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.108.1.0','0.31.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.108.2.0',plain,
% 9.00/9.46 ( mult(rd(X1,X2),rd(mult(X2,X1),X2)) = mult(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.108.1.1',theory(equality)]),
% 9.00/9.46 [u,rule_107]).
% 9.00/9.46 cnf('0.109.0.0',plain,
% 9.00/9.46 ( ld(f(X1),ld(X1,X2)) = ld(X1,ld(f(X1),X2)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.65.2.0','0.66.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.109.1.0',plain,
% 9.00/9.46 ( ld(f(X1),ld(X1,X2)) = ld(X1,ld(f(X1),X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.109.0.0']),
% 9.00/9.46 [weight('<90,66,65,[0,0,0,2]>')]).
% 9.00/9.46 cnf('0.109.2.0',plain,
% 9.00/9.46 ( ld(f(X1),ld(X1,X2)) = ld(X1,ld(f(X1),X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_108]).
% 9.00/9.46 cnf('0.120.0.0',plain,
% 9.00/9.46 ( mult(mult(f(X1),mult(X2,f(X1))),X1) = ifeq(mult(X2,mult(f(X1),mult(X1,f(X1)))),mult(mult(mult(X2,X1),f(X1)),f(X1)),mult(f(X1),mult(X2,mult(f(X1),X1))),mult(mult(f(X1),mult(X2,f(X1))),X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.11.2.0','0.102.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.1','L')]).
% 9.00/9.46 cnf('0.120.0.1',plain,
% 9.00/9.46 ( mult(f(X1),mult(mult(X2,f(X1)),X1)) = ifeq(mult(X2,mult(f(X1),mult(X1,f(X1)))),mult(mult(mult(X2,X1),f(X1)),f(X1)),mult(f(X1),mult(X2,mult(f(X1),X1))),mult(mult(f(X1),mult(X2,f(X1))),X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.120.0.0','0.98.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.120.0.2',plain,
% 9.00/9.46 ( mult(f(X1),mult(mult(X2,X1),f(X1))) = ifeq(mult(X2,mult(f(X1),mult(X1,f(X1)))),mult(mult(mult(X2,X1),f(X1)),f(X1)),mult(f(X1),mult(X2,mult(f(X1),X1))),mult(mult(f(X1),mult(X2,f(X1))),X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.120.0.1','0.102.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.120.0.3',plain,
% 9.00/9.46 ( mult(f(X1),mult(mult(X2,X1),f(X1))) = ifeq(mult(X2,mult(X1,X1)),mult(mult(mult(X2,X1),f(X1)),f(X1)),mult(f(X1),mult(X2,mult(f(X1),X1))),mult(mult(f(X1),mult(X2,f(X1))),X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.120.0.2','0.87.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1.2','L')]).
% 9.00/9.46 cnf('0.120.0.4',plain,
% 9.00/9.46 ( mult(f(X1),mult(mult(X2,X1),f(X1))) = ifeq(mult(X2,mult(X1,X1)),mult(mult(X2,X1),mult(f(X1),f(X1))),mult(f(X1),mult(X2,mult(f(X1),X1))),mult(mult(f(X1),mult(X2,f(X1))),X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.120.0.3','0.23.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.120.0.5',plain,
% 9.00/9.46 ( mult(f(X1),mult(mult(X2,X1),f(X1))) = ifeq(mult(X2,mult(X1,X1)),mult(mult(X2,X1),X1),mult(f(X1),mult(X2,mult(f(X1),X1))),mult(mult(f(X1),mult(X2,f(X1))),X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.120.0.4','0.4.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2.2','L')]).
% 9.00/9.46 cnf('0.120.0.6',plain,
% 9.00/9.46 ( mult(f(X1),mult(mult(X2,X1),f(X1))) = ifeq(mult(X2,mult(X1,X1)),mult(X2,mult(X1,X1)),mult(f(X1),mult(X2,mult(f(X1),X1))),mult(mult(f(X1),mult(X2,f(X1))),X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.120.0.5','0.23.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.120.0.7',plain,
% 9.00/9.46 ( mult(f(X1),mult(mult(X2,X1),f(X1))) = mult(f(X1),mult(X2,mult(f(X1),X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.120.0.6','0.6.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.120.0.8',plain,
% 9.00/9.46 ( mult(f(X1),mult(mult(X2,X1),f(X1))) = mult(f(X1),mult(X2,mult(X1,f(X1)))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.120.0.7','0.21.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2.2','L')]).
% 9.00/9.46 cnf('0.120.1.0',plain,
% 9.00/9.46 ( mult(mult(X2,X1),f(X1)) = mult(X2,mult(X1,f(X1))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.120.0.8']),
% 9.00/9.46 [weight('<90,102,11,[0,0,0,9]>')]).
% 9.00/9.46 cnf('0.120.2.0',plain,
% 9.00/9.46 ( mult(mult(X1,X2),f(X2)) = mult(X1,mult(X2,f(X2))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_119]).
% 9.00/9.46 cnf('0.121.0.0',plain,
% 9.00/9.46 ( mult(mult(X1,f(X2)),X2) = mult(mult(X1,X2),f(X2)) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.102.2.0'])).
% 9.00/9.46 cnf('0.121.0.1',plain,
% 9.00/9.46 ( mult(mult(X1,f(X2)),X2) = mult(X1,mult(X2,f(X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.121.0.0','0.120.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.121.1.0',plain,
% 9.00/9.46 ( mult(mult(X1,f(X2)),X2) = mult(X1,mult(X2,f(X2))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.121.0.1']),
% 9.00/9.46 [weight('<90,102,120,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.121.2.0',plain,
% 9.00/9.46 ( mult(mult(X1,f(X2)),X2) = mult(X1,mult(X2,f(X2))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.121.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_120]).
% 9.00/9.46 cnf('0.125.0.0',plain,
% 9.00/9.46 ( f(X1) = rd(mult(X1,X2),mult(f(X1),X2)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.7.2.0','0.62.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.125.1.0',plain,
% 9.00/9.46 ( f(X1) = rd(mult(X1,X2),mult(f(X1),X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.125.0.0']),
% 9.00/9.46 [weight('<98,62,7,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.125.2.0',plain,
% 9.00/9.46 ( rd(mult(X1,X2),mult(f(X1),X2)) = f(X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.125.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_124]).
% 9.00/9.46 cnf('0.220.0.0',plain,
% 9.00/9.46 ( mult(mult(unit,X1),mult(X2,mult(X1,X2))) = mult(mult(X1,mult(X2,X1)),X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.10.2.0','0.3.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.220.0.1',plain,
% 9.00/9.46 ( mult(X1,mult(X2,mult(X1,X2))) = mult(mult(X1,mult(X2,X1)),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.220.0.0','0.3.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.220.1.0',plain,
% 9.00/9.46 ( mult(X1,mult(X2,mult(X1,X2))) = mult(mult(X1,mult(X2,X1)),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.220.0.1']),
% 9.00/9.46 [weight('<119,10,3,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.220.2.0',plain,
% 9.00/9.46 ( mult(mult(X1,mult(X2,X1)),X2) = mult(X1,mult(X2,mult(X1,X2))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.220.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_219]).
% 9.00/9.46 cnf('0.231.0.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),ld(X1,X2)) = ld(rd(X1,ld(X1,X2)),X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.84.2.0','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.231.1.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),ld(X1,X2)) = ld(rd(X1,ld(X1,X2)),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.231.0.0']),
% 9.00/9.46 [weight('<119,84,1,[1,0,0,4]>')]).
% 9.00/9.46 cnf('0.231.2.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),ld(X1,X2)) = ld(rd(X1,ld(X1,X2)),X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.231.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_230]).
% 9.00/9.46 cnf('0.232.0.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),ld(X1,X2)) = ld(X1,mult(X2,ld(X1,X2))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.84.2.0','0.19.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.232.1.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),ld(X1,X2)) = ld(X1,mult(X2,ld(X1,X2))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.232.0.0']),
% 9.00/9.46 [weight('<119,84,19,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.232.1.1',plain,
% 9.00/9.46 ( ld(rd(X1,ld(X1,X2)),X2) = ld(X1,mult(X2,ld(X1,X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.232.1.0','0.231.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.232.2.0',plain,
% 9.00/9.46 ( ld(rd(X1,ld(X1,X2)),X2) = ld(X1,mult(X2,ld(X1,X2))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.232.1.1',theory(equality)]),
% 9.00/9.46 [u,rule_231]).
% 9.00/9.46 cnf('0.241.0.0',plain,
% 9.00/9.46 ( mult(f(X1),mult(mult(f(X1),X2),f(f(X1)))) = mult(mult(X1,X2),f(f(X1))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.104.2.0','0.62.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.241.0.1',plain,
% 9.00/9.46 ( mult(f(X1),mult(f(X1),mult(X2,f(f(X1))))) = mult(mult(X1,X2),f(f(X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.241.0.0','0.104.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.241.0.2',plain,
% 9.00/9.46 ( mult(X1,mult(X2,f(f(X1)))) = mult(mult(X1,X2),f(f(X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.241.0.1','0.62.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.241.1.0',plain,
% 9.00/9.46 ( mult(X1,mult(X2,f(f(X1)))) = mult(mult(X1,X2),f(f(X1))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.241.0.2']),
% 9.00/9.46 [weight('<119,104,62,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.241.2.0',plain,
% 9.00/9.46 ( mult(mult(X1,X2),f(f(X1))) = mult(X1,mult(X2,f(f(X1)))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.241.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_240]).
% 9.00/9.46 cnf('0.257.0.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),mult(X1,mult(ld(X1,X2),X1))) = mult(mult(ld(X1,X2),X2),X1) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.220.2.0','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1.2','L')]).
% 9.00/9.46 cnf('0.257.0.1',plain,
% 9.00/9.46 ( mult(ld(X1,X2),mult(X1,ld(X1,mult(X2,X1)))) = mult(mult(ld(X1,X2),X2),X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.257.0.0','0.27.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.2','L')]).
% 9.00/9.46 cnf('0.257.0.2',plain,
% 9.00/9.46 ( mult(ld(X1,X2),mult(X2,X1)) = mult(mult(ld(X1,X2),X2),X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.257.0.1','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.257.1.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),mult(X2,X1)) = mult(mult(ld(X1,X2),X2),X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.257.0.2']),
% 9.00/9.46 [weight('<119,220,1,[1,0,0,3]>')]).
% 9.00/9.46 cnf('0.257.2.0',plain,
% 9.00/9.46 ( mult(mult(ld(X1,X2),X2),X1) = mult(ld(X1,X2),mult(X2,X1)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.257.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_256]).
% 9.00/9.46 cnf('0.259.0.0',plain,
% 9.00/9.46 ( mult(X1,mult(ld(X1,X2),mult(X1,ld(X1,X2)))) = mult(mult(X1,ld(X1,mult(X2,X1))),ld(X1,X2)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.220.2.0','0.27.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1.2','L')]).
% 9.00/9.46 cnf('0.259.0.1',plain,
% 9.00/9.46 ( mult(X1,mult(ld(X1,X2),X2)) = mult(mult(X1,ld(X1,mult(X2,X1))),ld(X1,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.259.0.0','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.2','L')]).
% 9.00/9.46 cnf('0.259.0.2',plain,
% 9.00/9.46 ( mult(X1,mult(ld(X1,X2),X2)) = mult(mult(X2,X1),ld(X1,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.259.0.1','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1','L')]).
% 9.00/9.46 cnf('0.259.1.0',plain,
% 9.00/9.46 ( mult(X1,mult(ld(X1,X2),X2)) = mult(mult(X2,X1),ld(X1,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.259.0.2']),
% 9.00/9.46 [weight('<119,220,27,[1,0,0,3]>')]).
% 9.00/9.46 cnf('0.259.2.0',plain,
% 9.00/9.46 ( mult(mult(X1,X2),ld(X2,X1)) = mult(X2,mult(ld(X2,X1),X1)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.259.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_258]).
% 9.00/9.46 cnf('0.260.0.0',plain,
% 9.00/9.46 ( mult(rd(X1,X2),mult(X2,mult(rd(X1,X2),X2))) = mult(mult(rd(X1,X2),rd(mult(X2,X1),X2)),X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.220.2.0','0.31.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1.2','L')]).
% 9.00/9.46 cnf('0.260.0.1',plain,
% 9.00/9.46 ( mult(rd(X1,X2),mult(X2,X1)) = mult(mult(rd(X1,X2),rd(mult(X2,X1),X2)),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.260.0.0','0.5.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.2','L')]).
% 9.00/9.46 cnf('0.260.0.2',plain,
% 9.00/9.46 ( mult(rd(X1,X2),mult(X2,X1)) = mult(mult(X1,rd(X1,X2)),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.260.0.1','0.108.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1','L')]).
% 9.00/9.46 cnf('0.260.1.0',plain,
% 9.00/9.46 ( mult(rd(X1,X2),mult(X2,X1)) = mult(mult(X1,rd(X1,X2)),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.260.0.2']),
% 9.00/9.46 [weight('<119,220,31,[1,0,0,3]>')]).
% 9.00/9.46 cnf('0.260.2.0',plain,
% 9.00/9.46 ( mult(mult(X1,rd(X1,X2)),X2) = mult(rd(X1,X2),mult(X2,X1)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.260.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_259]).
% 9.00/9.46 cnf('0.264.0.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),ld(X1,X2)) = ld(rd(X1,ld(X1,X2)),X2) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.231.2.0'])).
% 9.00/9.46 cnf('0.264.0.1',plain,
% 9.00/9.46 ( mult(ld(X1,X2),ld(X1,X2)) = ld(X1,mult(X2,ld(X1,X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.264.0.0','0.232.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.264.1.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),ld(X1,X2)) = ld(X1,mult(X2,ld(X1,X2))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.264.0.1']),
% 9.00/9.46 [weight('<119,231,232,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.264.2.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),ld(X1,X2)) = ld(X1,mult(X2,ld(X1,X2))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.264.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_263]).
% 9.00/9.46 cnf('0.310.0.0',plain,
% 9.00/9.46 ( mult(mult(X1,ld(X2,X3)),mult(X2,mult(ld(X2,X3),X2))) = mult(mult(X1,mult(ld(X2,X3),X3)),X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.10.2.0','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1.2.2','L')]).
% 9.00/9.46 cnf('0.310.1.0',plain,
% 9.00/9.46 ( mult(mult(X1,ld(X2,X3)),mult(X2,mult(ld(X2,X3),X2))) = mult(mult(X1,mult(ld(X2,X3),X3)),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.310.0.0']),
% 9.00/9.46 [weight('<?,10,1,[1,0,0,5]>')]).
% 9.00/9.46 cnf('0.310.1.1',plain,
% 9.00/9.46 ( mult(mult(X1,ld(X2,X3)),mult(X2,ld(X2,mult(X3,X2)))) = mult(mult(X1,mult(ld(X2,X3),X3)),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.310.1.0','0.27.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.2','L')]).
% 9.00/9.46 cnf('0.310.1.2',plain,
% 9.00/9.46 ( mult(mult(X1,ld(X2,X3)),mult(X3,X2)) = mult(mult(X1,mult(ld(X2,X3),X3)),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.310.1.1','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.310.2.0',plain,
% 9.00/9.46 ( mult(mult(X1,mult(ld(X2,X3),X3)),X2) = mult(mult(X1,ld(X2,X3)),mult(X3,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.310.1.2',theory(equality)]),
% 9.00/9.46 [x,rule_309]).
% 9.00/9.46 cnf('0.325.0.0',plain,
% 9.00/9.46 ( mult(mult(X1,X2),f(X2)) = rd(mult(X1,mult(X2,X2)),f(X2)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.60.2.0','0.23.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.325.1.0',plain,
% 9.00/9.46 ( mult(mult(X1,X2),f(X2)) = rd(mult(X1,mult(X2,X2)),f(X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.325.0.0']),
% 9.00/9.46 [weight('<134,60,23,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.325.1.1',plain,
% 9.00/9.46 ( mult(X1,mult(X2,f(X2))) = rd(mult(X1,mult(X2,X2)),f(X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.325.1.0','0.120.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.325.2.0',plain,
% 9.00/9.46 ( rd(mult(X1,mult(X2,X2)),f(X2)) = mult(X1,mult(X2,f(X2))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.325.1.1',theory(equality)]),
% 9.00/9.46 [x,rule_324]).
% 9.00/9.46 cnf('0.326.0.0',plain,
% 9.00/9.46 ( mult(X1,mult(f(X2),f(f(X2)))) = rd(mult(X1,X2),f(f(X2))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.325.2.0','0.4.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1.2','L')]).
% 9.00/9.46 cnf('0.326.0.1',plain,
% 9.00/9.46 ( mult(X1,ld(f(f(X2)),X2)) = rd(mult(X1,X2),f(f(X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.326.0.0','0.29.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.326.1.0',plain,
% 9.00/9.46 ( mult(X1,ld(f(f(X2)),X2)) = rd(mult(X1,X2),f(f(X2))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.326.0.1']),
% 9.00/9.46 [weight('<119,325,4,[1,0,0,3]>')]).
% 9.00/9.46 cnf('0.326.2.0',plain,
% 9.00/9.46 ( mult(X1,ld(f(f(X2)),X2)) = rd(mult(X1,X2),f(f(X2))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.326.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_325]).
% 9.00/9.46 cnf('0.415.0.0',plain,
% 9.00/9.46 ( rd(X1,ld(X1,X2)) = rd(X2,mult(ld(X1,X2),ld(X1,X2))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.81.2.0','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.415.1.0',plain,
% 9.00/9.46 ( rd(X1,ld(X1,X2)) = rd(X2,mult(ld(X1,X2),ld(X1,X2))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.415.0.0']),
% 9.00/9.46 [weight('<149,81,1,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.415.1.1',plain,
% 9.00/9.46 ( rd(X1,ld(X1,X2)) = rd(X2,ld(X1,mult(X2,ld(X1,X2)))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.415.1.0','0.264.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.415.2.0',plain,
% 9.00/9.46 ( rd(X1,ld(X2,mult(X1,ld(X2,X1)))) = rd(X2,ld(X2,X1)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.415.1.1',theory(equality)]),
% 9.00/9.46 [x,rule_414]).
% 9.00/9.46 cnf('0.459.0.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),X2) = rd(mult(ld(X1,X2),mult(X2,X1)),X1) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.7.2.0','0.257.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.459.1.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),X2) = rd(mult(ld(X1,X2),mult(X2,X1)),X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.459.0.0']),
% 9.00/9.46 [weight('<149,257,7,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.459.2.0',plain,
% 9.00/9.46 ( rd(mult(ld(X1,X2),mult(X2,X1)),X1) = mult(ld(X1,X2),X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.459.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_458]).
% 9.00/9.46 cnf('0.478.0.0',plain,
% 9.00/9.46 ( mult(X1,rd(X1,X2)) = rd(mult(rd(X1,X2),mult(X2,X1)),X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.7.2.0','0.260.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.478.1.0',plain,
% 9.00/9.46 ( mult(X1,rd(X1,X2)) = rd(mult(rd(X1,X2),mult(X2,X1)),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.478.0.0']),
% 9.00/9.46 [weight('<149,260,7,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.478.2.0',plain,
% 9.00/9.46 ( rd(mult(rd(X1,X2),mult(X2,X1)),X2) = mult(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.478.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_477]).
% 9.00/9.46 cnf('0.488.0.0',plain,
% 9.00/9.46 ( mult(mult(X1,ld(X1,X2)),mult(X2,X1)) = mult(X1,mult(mult(ld(X1,X2),X2),X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.310.2.0','0.9.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.488.0.1',plain,
% 9.00/9.46 ( mult(X2,mult(X2,X1)) = mult(X1,mult(mult(ld(X1,X2),X2),X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.488.0.0','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.488.0.2',plain,
% 9.00/9.46 ( mult(X2,mult(X2,X1)) = mult(X1,mult(ld(X1,X2),mult(X2,X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.488.0.1','0.257.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.488.1.0',plain,
% 9.00/9.46 ( mult(X2,mult(X2,X1)) = mult(X1,mult(ld(X1,X2),mult(X2,X1))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.488.0.2']),
% 9.00/9.46 [weight('<149,310,9,[1,0,0,0]>')]).
% 9.00/9.46 cnf('0.488.2.0',plain,
% 9.00/9.46 ( mult(X1,mult(ld(X1,X2),mult(X2,X1))) = mult(X2,mult(X2,X1)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.488.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_487]).
% 9.00/9.46 cnf('0.489.0.0',plain,
% 9.00/9.46 ( rd(mult(ld(X1,X2),mult(X2,X1)),X1) = ld(X1,rd(mult(X2,mult(X2,X1)),X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.79.2.0','0.488.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.1','L')]).
% 9.00/9.46 cnf('0.489.0.1',plain,
% 9.00/9.46 ( mult(ld(X1,X2),X2) = ld(X1,rd(mult(X2,mult(X2,X1)),X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.489.0.0','0.459.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.489.0.2',plain,
% 9.00/9.46 ( mult(ld(X1,X2),X2) = ld(X1,mult(X2,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.489.0.1','0.67.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.489.1.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),X2) = ld(X1,mult(X2,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.489.0.2']),
% 9.00/9.46 [weight('<65,488,79,[0,0,0,3]>')]).
% 9.00/9.46 cnf('0.489.2.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),X2) = ld(X1,mult(X2,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.489.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_488]).
% 9.00/9.46 cnf('0.490.0.0',plain,
% 9.00/9.46 ( mult(mult(X1,X2),ld(X2,X1)) = mult(X2,mult(ld(X2,X1),X1)) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.259.2.0'])).
% 9.00/9.46 cnf('0.490.0.1',plain,
% 9.00/9.46 ( mult(mult(X1,X2),ld(X2,X1)) = mult(X2,ld(X2,mult(X1,X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.490.0.0','0.489.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.490.0.2',plain,
% 9.00/9.46 ( mult(mult(X1,X2),ld(X2,X1)) = mult(X1,X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.490.0.1','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.490.1.0',plain,
% 9.00/9.46 ( mult(mult(X1,X2),ld(X2,X1)) = mult(X1,X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.490.0.2']),
% 9.00/9.46 [weight('<87,259,489,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.490.2.0',plain,
% 9.00/9.46 ( mult(mult(X1,X2),ld(X2,X1)) = mult(X1,X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.490.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_489]).
% 9.00/9.46 cnf('0.491.0.0',plain,
% 9.00/9.46 ( ld(X1,X2) = rd(ld(X1,mult(X2,X2)),X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.7.2.0','0.489.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.491.1.0',plain,
% 9.00/9.46 ( ld(X1,X2) = rd(ld(X1,mult(X2,X2)),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.491.0.0']),
% 9.00/9.46 [weight('<87,489,7,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.491.2.0',plain,
% 9.00/9.46 ( rd(ld(X1,mult(X2,X2)),X2) = ld(X1,X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.491.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_490]).
% 9.00/9.46 cnf('0.495.0.0',plain,
% 9.00/9.46 ( ld(rd(X1,X2),mult(X1,X1)) = mult(X2,X1) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.489.2.0','0.20.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.495.1.0',plain,
% 9.00/9.46 ( ld(rd(X1,X2),mult(X1,X1)) = mult(X2,X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.495.0.0']),
% 9.00/9.46 [weight('<87,489,20,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.495.2.0',plain,
% 9.00/9.46 ( ld(rd(X1,X2),mult(X1,X1)) = mult(X2,X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.495.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_494]).
% 9.00/9.46 cnf('0.496.0.0',plain,
% 9.00/9.46 ( mult(X1,f(X2)) = ld(rd(f(X2),X1),X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.495.2.0','0.4.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.496.1.0',plain,
% 9.00/9.46 ( mult(X1,f(X2)) = ld(rd(f(X2),X1),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.496.0.0']),
% 9.00/9.46 [weight('<76,495,4,[1,0,0,4]>')]).
% 9.00/9.46 cnf('0.496.2.0',plain,
% 9.00/9.46 ( ld(rd(f(X1),X2),X1) = mult(X2,f(X1)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.496.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_495]).
% 9.00/9.46 cnf('0.497.0.0',plain,
% 9.00/9.46 ( rd(f(X1),X2) = rd(X1,mult(X2,f(X1))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.19.2.0','0.496.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.497.1.0',plain,
% 9.00/9.46 ( rd(f(X1),X2) = rd(X1,mult(X2,f(X1))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.497.0.0']),
% 9.00/9.46 [weight('<76,496,19,[0,0,0,2]>')]).
% 9.00/9.46 cnf('0.497.2.0',plain,
% 9.00/9.46 ( rd(X1,mult(X2,f(X1))) = rd(f(X1),X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.497.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_496]).
% 9.00/9.46 cnf('0.500.0.0',plain,
% 9.00/9.46 ( mult(X1,rd(X1,ld(X2,X1))) = rd(mult(rd(X1,ld(X2,X1)),ld(X2,mult(X1,X1))),ld(X2,X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.478.2.0','0.489.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1.2','L')]).
% 9.00/9.46 cnf('0.500.0.1',plain,
% 9.00/9.46 ( mult(X1,X2) = rd(mult(rd(X1,ld(X2,X1)),ld(X2,mult(X1,X1))),ld(X2,X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.500.0.0','0.19.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.500.0.2',plain,
% 9.00/9.46 ( mult(X1,X2) = rd(mult(X2,ld(X2,mult(X1,X1))),ld(X2,X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.500.0.1','0.19.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1.1','L')]).
% 9.00/9.46 cnf('0.500.0.3',plain,
% 9.00/9.46 ( mult(X1,X2) = rd(mult(X1,X1),ld(X2,X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.500.0.2','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1','L')]).
% 9.00/9.46 cnf('0.500.1.0',plain,
% 9.00/9.46 ( mult(X1,X2) = rd(mult(X1,X1),ld(X2,X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.500.0.3']),
% 9.00/9.46 [weight('<87,489,478,[0,0,0,5]>')]).
% 9.00/9.46 cnf('0.500.2.0',plain,
% 9.00/9.46 ( rd(mult(X1,X1),ld(X2,X1)) = mult(X1,X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.500.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_499]).
% 9.00/9.46 cnf('0.501.0.0',plain,
% 9.00/9.46 ( mult(X1,rd(X1,X2)) = rd(mult(X1,X1),X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.500.2.0','0.20.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.501.1.0',plain,
% 9.00/9.46 ( mult(X1,rd(X1,X2)) = rd(mult(X1,X1),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.501.0.0']),
% 9.00/9.46 [weight('<65,500,20,[1,0,0,4]>')]).
% 9.00/9.46 cnf('0.501.2.0',plain,
% 9.00/9.46 ( mult(X1,rd(X1,X2)) = rd(mult(X1,X1),X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.501.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_500]).
% 9.00/9.46 cnf('0.502.0.0',plain,
% 9.00/9.46 ( mult(f(X1),X2) = rd(X1,ld(X2,f(X1))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.500.2.0','0.4.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.502.1.0',plain,
% 9.00/9.46 ( mult(f(X1),X2) = rd(X1,ld(X2,f(X1))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.502.0.0']),
% 9.00/9.46 [weight('<76,500,4,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.502.2.0',plain,
% 9.00/9.46 ( rd(X1,ld(X2,f(X1))) = mult(f(X1),X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.502.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_501]).
% 9.00/9.46 cnf('0.508.0.0',plain,
% 9.00/9.46 ( mult(mult(X1,rd(X1,X2)),X2) = mult(rd(X1,X2),mult(X2,X1)) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.260.2.0'])).
% 9.00/9.46 cnf('0.508.0.1',plain,
% 9.00/9.46 ( mult(rd(mult(X1,X1),X2),X2) = mult(rd(X1,X2),mult(X2,X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.508.0.0','0.501.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.508.0.2',plain,
% 9.00/9.46 ( mult(X1,X1) = mult(rd(X1,X2),mult(X2,X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.508.0.1','0.5.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.508.1.0',plain,
% 9.00/9.46 ( mult(X1,X1) = mult(rd(X1,X2),mult(X2,X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.508.0.2']),
% 9.00/9.46 [weight('<87,260,501,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.508.2.0',plain,
% 9.00/9.46 ( mult(rd(X1,X2),mult(X2,X1)) = mult(X1,X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.508.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_507]).
% 9.00/9.46 cnf('0.509.0.0',plain,
% 9.00/9.46 ( mult(X1,X1) = mult(X2,ld(ld(X1,X2),X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.490.2.0','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.509.1.0',plain,
% 9.00/9.46 ( mult(X1,X1) = mult(X2,ld(ld(X1,X2),X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.509.0.0']),
% 9.00/9.46 [weight('<87,490,1,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.509.2.0',plain,
% 9.00/9.46 ( mult(X1,ld(ld(X2,X1),X2)) = mult(X2,X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.509.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_508]).
% 9.00/9.46 cnf('0.510.0.0',plain,
% 9.00/9.46 ( ld(ld(X1,X2),X1) = ld(X2,mult(X1,X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.8.2.0','0.509.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.510.1.0',plain,
% 9.00/9.46 ( ld(ld(X1,X2),X1) = ld(X2,mult(X1,X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.510.0.0']),
% 9.00/9.46 [weight('<65,509,8,[0,0,0,2]>')]).
% 9.00/9.46 cnf('0.510.2.0',plain,
% 9.00/9.46 ( ld(ld(X1,X2),X1) = ld(X2,mult(X1,X1)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.510.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_509]).
% 9.00/9.46 cnf('0.511.0.0',plain,
% 9.00/9.46 ( ld(X1,X2) = ld(mult(X2,X1),mult(X2,X2)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.8.2.0','0.490.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.511.1.0',plain,
% 9.00/9.46 ( ld(X1,X2) = ld(mult(X2,X1),mult(X2,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.511.0.0']),
% 9.00/9.46 [weight('<87,490,8,[0,0,0,2]>')]).
% 9.00/9.46 cnf('0.511.2.0',plain,
% 9.00/9.46 ( ld(mult(X1,X2),mult(X1,X1)) = ld(X2,X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.511.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_510]).
% 9.00/9.46 cnf('0.513.0.0',plain,
% 9.00/9.46 ( ld(mult(X1,X2),X1) = rd(ld(X2,X1),X1) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.491.2.0','0.511.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.513.1.0',plain,
% 9.00/9.46 ( ld(mult(X1,X2),X1) = rd(ld(X2,X1),X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.513.0.0']),
% 9.00/9.46 [weight('<65,511,491,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.513.2.0',plain,
% 9.00/9.46 ( rd(ld(X1,X2),X2) = ld(mult(X2,X1),X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.513.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_512]).
% 9.00/9.46 cnf('0.514.0.0',plain,
% 9.00/9.46 ( ld(rd(mult(X1,X1),X2),X1) = rd(X2,X1) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.491.2.0','0.20.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.514.1.0',plain,
% 9.00/9.46 ( ld(rd(mult(X1,X1),X2),X1) = rd(X2,X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.514.0.0']),
% 9.00/9.46 [weight('<87,491,20,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.514.2.0',plain,
% 9.00/9.46 ( ld(rd(mult(X1,X1),X2),X1) = rd(X2,X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.514.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_513]).
% 9.00/9.46 cnf('0.515.0.0',plain,
% 9.00/9.46 ( rd(mult(X1,X1),X2) = rd(X1,rd(X2,X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.19.2.0','0.514.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.515.1.0',plain,
% 9.00/9.46 ( rd(mult(X1,X1),X2) = rd(X1,rd(X2,X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.515.0.0']),
% 9.00/9.46 [weight('<65,514,19,[0,0,0,2]>')]).
% 9.00/9.46 cnf('0.515.2.0',plain,
% 9.00/9.46 ( rd(mult(X1,X1),X2) = rd(X1,rd(X2,X1)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.515.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_514]).
% 9.00/9.46 cnf('0.516.0.0',plain,
% 9.00/9.46 ( mult(X1,rd(X1,X2)) = rd(mult(X1,X1),X2) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.501.2.0'])).
% 9.00/9.46 cnf('0.516.0.1',plain,
% 9.00/9.46 ( mult(X1,rd(X1,X2)) = rd(X1,rd(X2,X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.516.0.0','0.515.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.516.1.0',plain,
% 9.00/9.46 ( mult(X1,rd(X1,X2)) = rd(X1,rd(X2,X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.516.0.1']),
% 9.00/9.46 [weight('<65,501,515,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.516.2.0',plain,
% 9.00/9.46 ( mult(X1,rd(X1,X2)) = rd(X1,rd(X2,X1)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.516.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_515]).
% 9.00/9.46 cnf('0.520.0.0',plain,
% 9.00/9.46 ( ld(X1,X2) = rd(X1,ld(X2,mult(X1,X1))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.19.2.0','0.510.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.520.1.0',plain,
% 9.00/9.46 ( ld(X1,X2) = rd(X1,ld(X2,mult(X1,X1))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.520.0.0']),
% 9.00/9.46 [weight('<87,510,19,[0,0,0,2]>')]).
% 9.00/9.46 cnf('0.520.2.0',plain,
% 9.00/9.46 ( rd(X1,ld(X2,mult(X1,X1))) = ld(X1,X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.520.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_519]).
% 9.00/9.46 cnf('0.521.0.0',plain,
% 9.00/9.46 ( ld(X1,rd(X1,X2)) = rd(X1,mult(X2,X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.520.2.0','0.495.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.521.1.0',plain,
% 9.00/9.46 ( ld(X1,rd(X1,X2)) = rd(X1,mult(X2,X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.521.0.0']),
% 9.00/9.46 [weight('<65,520,495,[1,0,0,2]>')]).
% 9.00/9.46 cnf('0.521.2.0',plain,
% 9.00/9.46 ( rd(X1,mult(X2,X1)) = ld(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.521.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_520]).
% 9.00/9.46 cnf('0.522.0.0',plain,
% 9.00/9.46 ( ld(f(X1),X2) = rd(f(X1),ld(X2,X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.520.2.0','0.4.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.2','L')]).
% 9.00/9.46 cnf('0.522.1.0',plain,
% 9.00/9.46 ( ld(f(X1),X2) = rd(f(X1),ld(X2,X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.522.0.0']),
% 9.00/9.46 [weight('<76,520,4,[1,0,0,4]>')]).
% 9.00/9.46 cnf('0.522.2.0',plain,
% 9.00/9.46 ( rd(f(X1),ld(X2,X1)) = ld(f(X1),X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.522.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_521]).
% 9.00/9.46 cnf('0.523.0.0',plain,
% 9.00/9.46 ( ld(f(X1),rd(X1,X2)) = rd(f(X1),X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.522.2.0','0.20.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.523.1.0',plain,
% 9.00/9.46 ( ld(f(X1),rd(X1,X2)) = rd(f(X1),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.523.0.0']),
% 9.00/9.46 [weight('<76,522,20,[1,0,0,3]>')]).
% 9.00/9.46 cnf('0.523.2.0',plain,
% 9.00/9.46 ( ld(f(X1),rd(X1,X2)) = rd(f(X1),X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.523.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_522]).
% 9.00/9.46 cnf('0.524.0.0',plain,
% 9.00/9.46 ( rd(X1,X2) = ld(X1,rd(X1,rd(X2,X1))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.8.2.0','0.516.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.524.1.0',plain,
% 9.00/9.46 ( rd(X1,X2) = ld(X1,rd(X1,rd(X2,X1))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.524.0.0']),
% 9.00/9.46 [weight('<87,516,8,[0,0,0,2]>')]).
% 9.00/9.46 cnf('0.524.2.0',plain,
% 9.00/9.46 ( ld(X1,rd(X1,rd(X2,X1))) = rd(X1,X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.524.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_523]).
% 9.00/9.46 cnf('0.531.0.0',plain,
% 9.00/9.46 ( rd(f(X1),mult(X2,X1)) = ld(f(X1),ld(X1,rd(X1,X2))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.523.2.0','0.521.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.531.0.1',plain,
% 9.00/9.46 ( rd(f(X1),mult(X2,X1)) = ld(X1,ld(f(X1),rd(X1,X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.531.0.0','0.109.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.531.0.2',plain,
% 9.00/9.46 ( rd(f(X1),mult(X2,X1)) = ld(X1,rd(f(X1),X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.531.0.1','0.523.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.531.1.0',plain,
% 9.00/9.46 ( rd(f(X1),mult(X2,X1)) = ld(X1,rd(f(X1),X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.531.0.2']),
% 9.00/9.46 [weight('<90,523,521,[1,0,0,3]>')]).
% 9.00/9.46 cnf('0.531.2.0',plain,
% 9.00/9.46 ( rd(f(X1),mult(X2,X1)) = ld(X1,rd(f(X1),X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.531.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_530]).
% 9.00/9.46 cnf('0.539.0.0',plain,
% 9.00/9.46 ( f(X1) = mult(ld(f(X1),X2),ld(X2,X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.5.2.0','0.522.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.539.1.0',plain,
% 9.00/9.46 ( f(X1) = mult(ld(f(X1),X2),ld(X2,X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.539.0.0']),
% 9.00/9.46 [weight('<98,522,5,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.539.2.0',plain,
% 9.00/9.46 ( mult(ld(f(X1),X2),ld(X2,X1)) = f(X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.539.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_538]).
% 9.00/9.46 cnf('0.573.0.0',plain,
% 9.00/9.46 ( mult(mult(ld(X1,X2),X2),X1) = mult(ld(X1,X2),mult(X2,X1)) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.257.2.0'])).
% 9.00/9.46 cnf('0.573.0.1',plain,
% 9.00/9.46 ( mult(ld(X1,mult(X2,X2)),X1) = mult(ld(X1,X2),mult(X2,X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.573.0.0','0.489.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.573.0.2',plain,
% 9.00/9.46 ( ld(X1,mult(mult(X2,X2),X1)) = mult(ld(X1,X2),mult(X2,X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.573.0.1','0.27.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.573.0.3',plain,
% 9.00/9.46 ( ld(X1,mult(X2,mult(X2,X1))) = mult(ld(X1,X2),mult(X2,X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.573.0.2','0.24.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.573.1.0',plain,
% 9.00/9.46 ( ld(X1,mult(X2,mult(X2,X1))) = mult(ld(X1,X2),mult(X2,X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.573.0.3']),
% 9.00/9.46 [weight('<119,257,489,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.573.2.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),mult(X2,X1)) = ld(X1,mult(X2,mult(X2,X1))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.573.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_572]).
% 9.00/9.46 cnf('0.587.0.0',plain,
% 9.00/9.46 ( mult(mult(X1,f(f(X2))),f(X2)) = ld(rd(f(f(X2)),X1),X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.496.2.0','0.497.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.587.0.1',plain,
% 9.00/9.46 ( mult(X1,mult(f(X2),f(f(X2)))) = ld(rd(f(f(X2)),X1),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.587.0.0','0.121.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.587.0.2',plain,
% 9.00/9.46 ( mult(X1,ld(f(f(X2)),X2)) = ld(rd(f(f(X2)),X1),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.587.0.1','0.29.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.587.0.3',plain,
% 9.00/9.46 ( rd(mult(X1,X2),f(f(X2))) = ld(rd(f(f(X2)),X1),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.587.0.2','0.326.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.587.1.0',plain,
% 9.00/9.46 ( rd(mult(X1,X2),f(f(X2))) = ld(rd(f(f(X2)),X1),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.587.0.3']),
% 9.00/9.46 [weight('<119,497,496,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.587.2.0',plain,
% 9.00/9.46 ( rd(mult(X1,X2),f(f(X2))) = ld(rd(f(f(X2)),X1),X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.587.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_586]).
% 9.00/9.46 cnf('0.588.0.0',plain,
% 9.00/9.46 ( mult(X1,ld(f(f(X2)),X2)) = rd(mult(X1,X2),f(f(X2))) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.326.2.0'])).
% 9.00/9.46 cnf('0.588.0.1',plain,
% 9.00/9.46 ( mult(X1,ld(f(f(X2)),X2)) = ld(rd(f(f(X2)),X1),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.588.0.0','0.587.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.588.1.0',plain,
% 9.00/9.46 ( mult(X1,ld(f(f(X2)),X2)) = ld(rd(f(f(X2)),X1),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.588.0.1']),
% 9.00/9.46 [weight('<119,326,587,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.588.2.0',plain,
% 9.00/9.46 ( mult(X1,ld(f(f(X2)),X2)) = ld(rd(f(f(X2)),X1),X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.588.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_587]).
% 9.00/9.46 cnf('0.609.0.0',plain,
% 9.00/9.46 ( ld(X1,rd(X1,ld(X1,X2))) = rd(X1,ld(X1,mult(X2,X1))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.521.2.0','0.27.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.609.1.0',plain,
% 9.00/9.46 ( ld(X1,rd(X1,ld(X1,X2))) = rd(X1,ld(X1,mult(X2,X1))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.609.0.0']),
% 9.00/9.46 [weight('<119,521,27,[1,0,0,2]>')]).
% 9.00/9.46 cnf('0.609.2.0',plain,
% 9.00/9.46 ( rd(X1,ld(X1,mult(X2,X1))) = ld(X1,rd(X1,ld(X1,X2))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.609.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_608]).
% 9.00/9.46 cnf('0.615.0.0',plain,
% 9.00/9.46 ( ld(ld(X1,X2),mult(X1,mult(X1,ld(X1,X2)))) = mult(ld(ld(X1,X2),X1),X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.573.2.0','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.615.0.1',plain,
% 9.00/9.46 ( ld(ld(X1,X2),mult(X1,X2)) = mult(ld(ld(X1,X2),X1),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.615.0.0','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.2','L')]).
% 9.00/9.46 cnf('0.615.0.2',plain,
% 9.00/9.46 ( ld(ld(X1,X2),mult(X1,X2)) = mult(ld(X2,mult(X1,X1)),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.615.0.1','0.510.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1','L')]).
% 9.00/9.46 cnf('0.615.0.3',plain,
% 9.00/9.46 ( ld(ld(X1,X2),mult(X1,X2)) = ld(X2,mult(mult(X1,X1),X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.615.0.2','0.27.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.615.0.4',plain,
% 9.00/9.46 ( ld(ld(X1,X2),mult(X1,X2)) = ld(X2,mult(X1,mult(X1,X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.615.0.3','0.24.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.615.1.0',plain,
% 9.00/9.46 ( ld(ld(X1,X2),mult(X1,X2)) = ld(X2,mult(X1,mult(X1,X2))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.615.0.4']),
% 9.00/9.46 [weight('<119,573,1,[1,0,0,4]>')]).
% 9.00/9.46 cnf('0.615.2.0',plain,
% 9.00/9.46 ( ld(ld(X1,X2),mult(X1,X2)) = ld(X2,mult(X1,mult(X1,X2))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.615.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_614]).
% 9.00/9.46 cnf('0.616.0.0',plain,
% 9.00/9.46 ( ld(ld(f(X1),X2),mult(f(X1),mult(f(X1),ld(f(X1),X2)))) = ld(ld(X1,X2),mult(f(X1),ld(f(X1),X2))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.615.2.0','0.88.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.616.0.1',plain,
% 9.00/9.46 ( ld(ld(f(X1),X2),mult(X1,ld(f(X1),X2))) = ld(ld(X1,X2),mult(f(X1),ld(f(X1),X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.616.0.0','0.62.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.616.0.2',plain,
% 9.00/9.46 ( ld(ld(f(X1),X2),mult(f(X1),X2)) = ld(ld(X1,X2),mult(f(X1),ld(f(X1),X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.616.0.1','0.63.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.616.0.3',plain,
% 9.00/9.46 ( ld(X2,mult(f(X1),mult(f(X1),X2))) = ld(ld(X1,X2),mult(f(X1),ld(f(X1),X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.616.0.2','0.615.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.616.0.4',plain,
% 9.00/9.46 ( ld(X2,mult(X1,X2)) = ld(ld(X1,X2),mult(f(X1),ld(f(X1),X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.616.0.3','0.62.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.616.0.5',plain,
% 9.00/9.46 ( ld(X2,mult(X1,X2)) = ld(ld(X1,X2),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.616.0.4','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.616.1.0',plain,
% 9.00/9.46 ( ld(X2,mult(X1,X2)) = ld(ld(X1,X2),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.616.0.5']),
% 9.00/9.46 [weight('<65,615,88,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.616.2.0',plain,
% 9.00/9.46 ( ld(ld(X1,X2),X2) = ld(X2,mult(X1,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.616.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_615]).
% 9.00/9.46 cnf('0.617.0.0',plain,
% 9.00/9.46 ( ld(X1,X2) = rd(X2,ld(X2,mult(X1,X2))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.19.2.0','0.616.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.617.0.1',plain,
% 9.00/9.46 ( ld(X1,X2) = ld(X2,rd(X2,ld(X2,X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.617.0.0','0.609.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.617.1.0',plain,
% 9.00/9.46 ( ld(X1,X2) = ld(X2,rd(X2,ld(X2,X1))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.617.0.1']),
% 9.00/9.46 [weight('<87,616,19,[0,0,0,2]>')]).
% 9.00/9.46 cnf('0.617.2.0',plain,
% 9.00/9.46 ( ld(X1,rd(X1,ld(X1,X2))) = ld(X2,X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.617.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_616]).
% 9.00/9.46 cnf('0.618.0.0',plain,
% 9.00/9.46 ( rd(X1,ld(X1,X2)) = mult(X1,ld(X2,X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.1.2.0','0.617.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.618.1.0',plain,
% 9.00/9.46 ( rd(X1,ld(X1,X2)) = mult(X1,ld(X2,X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.618.0.0']),
% 9.00/9.46 [weight('<65,617,1,[0,0,0,2]>')]).
% 9.00/9.46 cnf('0.618.2.0',plain,
% 9.00/9.46 ( mult(X1,ld(X2,X1)) = rd(X1,ld(X1,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.618.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_617]).
% 9.00/9.46 cnf('0.619.0.0',plain,
% 9.00/9.46 ( ld(mult(X1,X2),X1) = ld(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.617.2.0','0.8.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.2','L')]).
% 9.00/9.46 cnf('0.619.1.0',plain,
% 9.00/9.46 ( ld(mult(X1,X2),X1) = ld(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.619.0.0']),
% 9.00/9.46 [weight('<65,617,8,[1,0,0,4]>')]).
% 9.00/9.46 cnf('0.619.2.0',plain,
% 9.00/9.46 ( ld(mult(X1,X2),X1) = ld(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.619.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_618]).
% 9.00/9.46 cnf('0.620.0.0',plain,
% 9.00/9.46 ( rd(ld(X1,X2),X2) = ld(mult(X2,X1),X2) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.513.2.0'])).
% 9.00/9.46 cnf('0.620.0.1',plain,
% 9.00/9.46 ( rd(ld(X1,X2),X2) = ld(X2,rd(X2,X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.620.0.0','0.619.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.620.1.0',plain,
% 9.00/9.46 ( rd(ld(X1,X2),X2) = ld(X2,rd(X2,X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.620.0.1']),
% 9.00/9.46 [weight('<65,513,619,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.620.2.0',plain,
% 9.00/9.46 ( rd(ld(X1,X2),X2) = ld(X2,rd(X2,X1)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.620.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_619]).
% 9.00/9.46 cnf('0.621.0.0',plain,
% 9.00/9.46 ( ld(X1,rd(X1,mult(X1,X2))) = rd(ld(X1,rd(X1,X2)),X1) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.620.2.0','0.619.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.621.0.1',plain,
% 9.00/9.46 ( ld(X1,rd(X1,mult(X1,X2))) = ld(X1,rd(rd(X1,X2),X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.621.0.0','0.71.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.621.1.0',plain,
% 9.00/9.46 ( rd(X1,mult(X1,X2)) = rd(rd(X1,X2),X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.621.0.1']),
% 9.00/9.46 [weight('<65,620,619,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.621.2.0',plain,
% 9.00/9.46 ( rd(rd(X1,X2),X1) = rd(X1,mult(X1,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.621.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_620]).
% 9.00/9.46 cnf('0.622.0.0',plain,
% 9.00/9.46 ( rd(X1,ld(X1,mult(X2,X1))) = ld(X1,rd(X1,ld(X1,X2))) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.609.2.0'])).
% 9.00/9.46 cnf('0.622.0.1',plain,
% 9.00/9.46 ( rd(X1,ld(X1,mult(X2,X1))) = ld(X2,X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.622.0.0','0.617.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.622.1.0',plain,
% 9.00/9.46 ( rd(X1,ld(X1,mult(X2,X1))) = ld(X2,X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.622.0.1']),
% 9.00/9.46 [weight('<87,609,617,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.622.2.0',plain,
% 9.00/9.46 ( rd(X1,ld(X1,mult(X2,X1))) = ld(X2,X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.622.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_621]).
% 9.00/9.46 cnf('0.623.0.0',plain,
% 9.00/9.46 ( ld(rd(X1,X2),X2) = rd(X2,ld(X2,X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.622.2.0','0.5.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.2','L')]).
% 9.00/9.46 cnf('0.623.1.0',plain,
% 9.00/9.46 ( ld(rd(X1,X2),X2) = rd(X2,ld(X2,X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.623.0.0']),
% 9.00/9.46 [weight('<65,622,5,[1,0,0,4]>')]).
% 9.00/9.46 cnf('0.623.2.0',plain,
% 9.00/9.46 ( rd(X1,ld(X1,X2)) = ld(rd(X2,X1),X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.623.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_622]).
% 9.00/9.46 cnf('0.624.0.0',plain,
% 9.00/9.46 ( mult(X1,ld(X2,X1)) = rd(X1,ld(X1,X2)) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.618.2.0'])).
% 9.00/9.46 cnf('0.624.0.1',plain,
% 9.00/9.46 ( mult(X1,ld(X2,X1)) = ld(rd(X2,X1),X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.624.0.0','0.623.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.624.1.0',plain,
% 9.00/9.46 ( mult(X1,ld(X2,X1)) = ld(rd(X2,X1),X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.624.0.1']),
% 9.00/9.46 [weight('<65,618,623,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.624.2.0',plain,
% 9.00/9.46 ( mult(X1,ld(X2,X1)) = ld(rd(X2,X1),X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.624.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_623]).
% 9.00/9.46 cnf('0.625.0.0',plain,
% 9.00/9.46 ( ld(rd(rd(X1,rd(X2,X1)),X1),X1) = rd(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.623.2.0','0.524.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.625.0.1',plain,
% 9.00/9.46 ( ld(rd(X1,mult(X1,rd(X2,X1))),X1) = rd(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.625.0.0','0.621.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.625.0.2',plain,
% 9.00/9.46 ( mult(X1,rd(X2,X1)) = rd(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.625.0.1','0.20.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.625.0.3',plain,
% 9.00/9.46 ( rd(mult(X1,X2),X1) = rd(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.625.0.2','0.31.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.625.1.0',plain,
% 9.00/9.46 ( rd(mult(X1,X2),X1) = rd(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.625.0.3']),
% 9.00/9.46 [weight('<65,623,524,[1,0,0,2]>')]).
% 9.00/9.46 cnf('0.625.2.0',plain,
% 9.00/9.46 ( rd(mult(X1,X2),X1) = rd(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.625.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_624]).
% 9.00/9.46 cnf('0.626.0.0',plain,
% 9.00/9.46 ( mult(X1,rd(X2,X1)) = rd(mult(X1,X2),X1) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.31.2.0'])).
% 9.00/9.46 cnf('0.626.0.1',plain,
% 9.00/9.46 ( mult(X1,rd(X2,X1)) = rd(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.626.0.0','0.625.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.626.1.0',plain,
% 9.00/9.46 ( mult(X1,rd(X2,X1)) = rd(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.626.0.1']),
% 9.00/9.46 [weight('<65,31,625,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.626.2.0',plain,
% 9.00/9.46 ( mult(X1,rd(X2,X1)) = rd(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.626.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_625]).
% 9.00/9.46 cnf('0.627.0.0',plain,
% 9.00/9.46 ( ld(rd(X1,X2),X2) = ld(rd(X2,rd(X2,X1)),mult(X2,X2)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.511.2.0','0.626.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.627.0.1',plain,
% 9.00/9.46 ( ld(rd(X1,X2),X2) = mult(rd(X2,X1),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.627.0.0','0.495.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.627.1.0',plain,
% 9.00/9.46 ( ld(rd(X1,X2),X2) = mult(rd(X2,X1),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.627.0.1']),
% 9.00/9.46 [weight('<65,626,511,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.627.2.0',plain,
% 9.00/9.46 ( mult(rd(X1,X2),X1) = ld(rd(X2,X1),X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.627.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_626]).
% 9.00/9.46 cnf('0.629.0.0',plain,
% 9.00/9.46 ( ld(X1,mult(rd(X1,X2),X1)) = ld(X2,X1) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.616.2.0','0.20.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.629.1.0',plain,
% 9.00/9.46 ( ld(X1,mult(rd(X1,X2),X1)) = ld(X2,X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.629.0.0']),
% 9.00/9.46 [weight('<87,616,20,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.629.1.1',plain,
% 9.00/9.46 ( ld(X1,ld(rd(X2,X1),X1)) = ld(X2,X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.629.1.0','0.627.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.629.2.0',plain,
% 9.00/9.46 ( ld(X1,ld(rd(X2,X1),X1)) = ld(X2,X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.629.1.1',theory(equality)]),
% 9.00/9.46 [u,rule_628]).
% 9.00/9.46 cnf('0.639.0.0',plain,
% 9.00/9.46 ( mult(X1,ld(X2,f(X1))) = mult(f(X1),ld(rd(X2,f(X1)),f(X1))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.62.2.0','0.624.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.639.0.1',plain,
% 9.00/9.46 ( mult(X1,ld(X2,f(X1))) = ld(rd(rd(X2,f(X1)),f(X1)),f(X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.639.0.0','0.624.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.639.0.2',plain,
% 9.00/9.46 ( mult(X1,ld(X2,f(X1))) = ld(rd(X2,mult(f(X1),f(X1))),f(X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.639.0.1','0.82.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1','L')]).
% 9.00/9.46 cnf('0.639.0.3',plain,
% 9.00/9.46 ( mult(X1,ld(X2,f(X1))) = ld(rd(X2,X1),f(X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.639.0.2','0.4.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1.2','L')]).
% 9.00/9.46 cnf('0.639.1.0',plain,
% 9.00/9.46 ( mult(X1,ld(X2,f(X1))) = ld(rd(X2,X1),f(X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.639.0.3']),
% 9.00/9.46 [weight('<90,624,62,[0,0,0,3]>')]).
% 9.00/9.46 cnf('0.639.2.0',plain,
% 9.00/9.46 ( mult(X1,ld(X2,f(X1))) = ld(rd(X2,X1),f(X1)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.639.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_638]).
% 9.00/9.46 cnf('0.656.0.0',plain,
% 9.00/9.46 ( X1 = ld(rd(X1,X2),ld(rd(X2,X1),X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.8.2.0','0.627.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.656.1.0',plain,
% 9.00/9.46 ( X1 = ld(rd(X1,X2),ld(rd(X2,X1),X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.656.0.0']),
% 9.00/9.46 [weight('<109,627,8,[0,0,0,2]>')]).
% 9.00/9.46 cnf('0.656.2.0',plain,
% 9.00/9.46 ( ld(rd(X1,X2),ld(rd(X2,X1),X1)) = X1 ),
% 9.00/9.46 inference(orient,[status(thm)],['0.656.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_655]).
% 9.00/9.46 cnf('0.663.0.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),ld(X1,X2)) = ld(X1,mult(X2,ld(X1,X2))) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.264.2.0'])).
% 9.00/9.46 cnf('0.663.0.1',plain,
% 9.00/9.46 ( mult(ld(X1,X2),ld(X1,X2)) = ld(X1,rd(X2,ld(X2,X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.663.0.0','0.618.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.663.1.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),ld(X1,X2)) = ld(X1,rd(X2,ld(X2,X1))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.663.0.1']),
% 9.00/9.46 [weight('<119,264,618,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.663.1.1',plain,
% 9.00/9.46 ( mult(ld(X1,X2),ld(X1,X2)) = ld(X1,ld(rd(X1,X2),X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.663.1.0','0.623.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.663.2.0',plain,
% 9.00/9.46 ( mult(ld(X1,X2),ld(X1,X2)) = ld(X1,ld(rd(X1,X2),X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.663.1.1',theory(equality)]),
% 9.00/9.46 [u,rule_662]).
% 9.00/9.46 cnf('0.705.0.0',plain,
% 9.00/9.46 ( mult(X1,ld(X2,f(f(X1)))) = mult(f(X1),ld(rd(X2,f(X1)),f(f(X1)))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.62.2.0','0.639.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.705.0.1',plain,
% 9.00/9.46 ( mult(X1,ld(X2,f(f(X1)))) = ld(rd(rd(X2,f(X1)),f(X1)),f(f(X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.705.0.0','0.639.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.705.0.2',plain,
% 9.00/9.46 ( mult(X1,ld(X2,f(f(X1)))) = ld(rd(X2,mult(f(X1),f(X1))),f(f(X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.705.0.1','0.82.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1','L')]).
% 9.00/9.46 cnf('0.705.0.3',plain,
% 9.00/9.46 ( mult(X1,ld(X2,f(f(X1)))) = ld(rd(X2,X1),f(f(X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.705.0.2','0.4.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1.2','L')]).
% 9.00/9.46 cnf('0.705.1.0',plain,
% 9.00/9.46 ( mult(X1,ld(X2,f(f(X1)))) = ld(rd(X2,X1),f(f(X1))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.705.0.3']),
% 9.00/9.46 [weight('<119,639,62,[0,0,0,3]>')]).
% 9.00/9.46 cnf('0.705.2.0',plain,
% 9.00/9.46 ( mult(X1,ld(X2,f(f(X1)))) = ld(rd(X2,X1),f(f(X1))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.705.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_704]).
% 9.00/9.46 cnf('0.714.0.0',plain,
% 9.00/9.46 ( mult(X1,mult(X2,mult(X3,X2))) = rd(mult(mult(X1,X2),mult(X3,mult(X2,X3))),X3) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.7.2.0','0.10.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.714.1.0',plain,
% 9.00/9.46 ( mult(X1,mult(X2,mult(X3,X2))) = rd(mult(mult(X1,X2),mult(X3,mult(X2,X3))),X3) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.714.0.0']),
% 9.00/9.46 [weight('<?,10,7,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.714.2.0',plain,
% 9.00/9.46 ( rd(mult(mult(X1,X2),mult(X3,mult(X2,X3))),X3) = mult(X1,mult(X2,mult(X3,X2))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.714.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_713]).
% 9.00/9.46 cnf('0.843.0.0',plain,
% 9.00/9.46 ( rd(X1,ld(X2,mult(X1,ld(X2,X1)))) = rd(X2,ld(X2,X1)) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.415.2.0'])).
% 9.00/9.46 cnf('0.843.0.1',plain,
% 9.00/9.46 ( rd(X1,ld(X2,rd(X1,ld(X1,X2)))) = rd(X2,ld(X2,X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.843.0.0','0.618.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.2','L')]).
% 9.00/9.46 cnf('0.843.1.0',plain,
% 9.00/9.46 ( rd(X1,ld(X2,rd(X1,ld(X1,X2)))) = rd(X2,ld(X2,X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.843.0.1']),
% 9.00/9.46 [weight('<149,415,618,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.843.1.1',plain,
% 9.00/9.46 ( rd(X1,ld(X2,ld(rd(X2,X1),X1))) = rd(X2,ld(X2,X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.843.1.0','0.623.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.2','L')]).
% 9.00/9.46 cnf('0.843.1.2',plain,
% 9.00/9.46 ( rd(X1,ld(X2,ld(rd(X2,X1),X1))) = ld(rd(X1,X2),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.843.1.1','0.623.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.843.2.0',plain,
% 9.00/9.46 ( rd(X1,ld(X2,ld(rd(X2,X1),X1))) = ld(rd(X1,X2),X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.843.1.2',theory(equality)]),
% 9.00/9.46 [u,rule_842]).
% 9.00/9.46 cnf('0.903.0.0',plain,
% 9.00/9.46 ( ld(rd(X1,rd(X1,X2)),rd(X1,X2)) = rd(rd(X1,X2),X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.623.2.0','0.20.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.903.0.1',plain,
% 9.00/9.46 ( ld(rd(X1,rd(X1,X2)),rd(X1,X2)) = rd(X1,mult(X2,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.903.0.0','0.82.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.903.1.0',plain,
% 9.00/9.46 ( ld(rd(X1,rd(X1,X2)),rd(X1,X2)) = rd(X1,mult(X2,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.903.0.1']),
% 9.00/9.46 [weight('<149,623,20,[1,0,0,2]>')]).
% 9.00/9.46 cnf('0.903.2.0',plain,
% 9.00/9.46 ( ld(rd(X1,rd(X1,X2)),rd(X1,X2)) = rd(X1,mult(X2,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.903.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_902]).
% 9.00/9.46 cnf('0.1002.0.0',plain,
% 9.00/9.46 ( mult(f(X1),mult(mult(f(X1),X2),f(f(f(X1))))) = mult(mult(X1,X2),f(f(f(X1)))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.241.2.0','0.62.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1002.0.1',plain,
% 9.00/9.46 ( mult(f(X1),mult(f(X1),mult(X2,f(f(f(X1)))))) = mult(mult(X1,X2),f(f(f(X1)))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1002.0.0','0.241.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1002.0.2',plain,
% 9.00/9.46 ( mult(X1,mult(X2,f(f(f(X1))))) = mult(mult(X1,X2),f(f(f(X1)))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1002.0.1','0.62.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.1002.1.0',plain,
% 9.00/9.46 ( mult(X1,mult(X2,f(f(f(X1))))) = mult(mult(X1,X2),f(f(f(X1)))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1002.0.2']),
% 9.00/9.46 [weight('<152,241,62,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.1002.2.0',plain,
% 9.00/9.46 ( mult(mult(X1,X2),f(f(f(X1)))) = mult(X1,mult(X2,f(f(f(X1))))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1002.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1001]).
% 9.00/9.46 cnf('0.1158.0.0',plain,
% 9.00/9.46 ( mult(mult(X1,X2),mult(f(f(X1)),f(f(f(X1))))) = mult(mult(X1,mult(X2,f(f(f(X1))))),f(f(X1))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.121.2.0','0.1002.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1158.0.1',plain,
% 9.00/9.46 ( mult(mult(X1,X2),ld(f(f(f(X1))),f(X1))) = mult(mult(X1,mult(X2,f(f(f(X1))))),f(f(X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1158.0.0','0.29.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1158.0.2',plain,
% 9.00/9.46 ( ld(rd(f(f(f(X1))),mult(X1,X2)),f(X1)) = mult(mult(X1,mult(X2,f(f(f(X1))))),f(f(X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1158.0.1','0.588.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.1158.0.3',plain,
% 9.00/9.46 ( ld(rd(f(f(f(X1))),mult(X1,X2)),f(X1)) = mult(X1,mult(mult(X2,f(f(f(X1)))),f(f(X1)))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1158.0.2','0.241.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.1158.0.4',plain,
% 9.00/9.46 ( ld(rd(f(f(f(X1))),mult(X1,X2)),f(X1)) = mult(X1,mult(X2,mult(f(f(X1)),f(f(f(X1)))))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1158.0.3','0.121.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.1158.0.5',plain,
% 9.00/9.46 ( ld(rd(f(f(f(X1))),mult(X1,X2)),f(X1)) = mult(X1,mult(X2,ld(f(f(f(X1))),f(X1)))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1158.0.4','0.29.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2.2','L')]).
% 9.00/9.46 cnf('0.1158.0.6',plain,
% 9.00/9.46 ( ld(rd(f(f(f(X1))),mult(X1,X2)),f(X1)) = mult(X1,ld(rd(f(f(f(X1))),X2),f(X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1158.0.5','0.588.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.1158.0.7',plain,
% 9.00/9.46 ( ld(rd(f(f(f(X1))),mult(X1,X2)),f(X1)) = ld(rd(rd(f(f(f(X1))),X2),X1),f(X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1158.0.6','0.639.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.1158.1.0',plain,
% 9.00/9.46 ( rd(f(f(f(X1))),mult(X1,X2)) = rd(rd(f(f(f(X1))),X2),X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1158.0.7']),
% 9.00/9.46 [weight('<152,1002,121,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.1158.2.0',plain,
% 9.00/9.46 ( rd(rd(f(f(f(X1))),X2),X1) = rd(f(f(f(X1))),mult(X1,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1158.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1157]).
% 9.00/9.46 cnf('0.1196.0.0',plain,
% 9.00/9.46 ( rd(f(f(f(X1))),mult(X1,ld(X2,mult(f(f(f(X1))),f(f(f(X1))))))) = rd(ld(f(f(f(X1))),X2),X1) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.1158.2.0','0.520.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1196.0.1',plain,
% 9.00/9.46 ( rd(f(f(f(X1))),mult(X1,ld(X2,f(f(X1))))) = rd(ld(f(f(f(X1))),X2),X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1196.0.0','0.4.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.2.2','L')]).
% 9.00/9.46 cnf('0.1196.0.2',plain,
% 9.00/9.46 ( rd(f(f(f(X1))),ld(rd(X2,X1),f(f(X1)))) = rd(ld(f(f(f(X1))),X2),X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1196.0.1','0.705.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1196.0.3',plain,
% 9.00/9.46 ( ld(f(f(f(X1))),rd(X2,X1)) = rd(ld(f(f(f(X1))),X2),X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1196.0.2','0.522.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.1196.1.0',plain,
% 9.00/9.46 ( ld(f(f(f(X1))),rd(X2,X1)) = rd(ld(f(f(f(X1))),X2),X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1196.0.3']),
% 9.00/9.46 [weight('<152,1158,520,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.1196.2.0',plain,
% 9.00/9.46 ( rd(ld(f(f(f(X1))),X2),X1) = ld(f(f(f(X1))),rd(X2,X1)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1196.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1195]).
% 9.00/9.46 cnf('0.1310.0.0',plain,
% 9.00/9.46 ( mult(f(X1),X2) = ld(rd(mult(f(X1),X2),mult(X1,X2)),ld(f(X1),mult(f(X1),X2))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.656.2.0','0.125.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.1','L')]).
% 9.00/9.46 cnf('0.1310.0.1',plain,
% 9.00/9.46 ( mult(f(X1),X2) = ld(rd(mult(f(X1),X2),mult(X1,X2)),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1310.0.0','0.8.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.1310.1.0',plain,
% 9.00/9.46 ( mult(f(X1),X2) = ld(rd(mult(f(X1),X2),mult(X1,X2)),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1310.0.1']),
% 9.00/9.46 [weight('<164,656,125,[1,0,0,5]>')]).
% 9.00/9.46 cnf('0.1310.2.0',plain,
% 9.00/9.46 ( ld(rd(mult(f(X1),X2),mult(X1,X2)),X2) = mult(f(X1),X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1310.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1309]).
% 9.00/9.46 cnf('0.1311.0.0',plain,
% 9.00/9.46 ( rd(mult(f(X1),X2),mult(X1,X2)) = rd(X2,mult(f(X1),X2)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.19.2.0','0.1310.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1311.0.1',plain,
% 9.00/9.46 ( rd(mult(f(X1),X2),mult(X1,X2)) = ld(X2,rd(X2,f(X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1311.0.0','0.521.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.1311.1.0',plain,
% 9.00/9.46 ( rd(mult(f(X1),X2),mult(X1,X2)) = ld(X2,rd(X2,f(X1))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1311.0.1']),
% 9.00/9.46 [weight('<134,1310,19,[0,0,0,2]>')]).
% 9.00/9.46 cnf('0.1311.2.0',plain,
% 9.00/9.46 ( rd(mult(f(X1),X2),mult(X1,X2)) = ld(X2,rd(X2,f(X1))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1311.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_1310]).
% 9.00/9.46 cnf('0.1373.0.0',plain,
% 9.00/9.46 ( mult(f(X1),X2) = mult(ld(X2,rd(X2,f(X1))),mult(X1,X2)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.5.2.0','0.1311.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1373.1.0',plain,
% 9.00/9.46 ( mult(f(X1),X2) = mult(ld(X2,rd(X2,f(X1))),mult(X1,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1373.0.0']),
% 9.00/9.46 [weight('<164,1311,5,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.1373.2.0',plain,
% 9.00/9.46 ( mult(ld(X1,rd(X1,f(X2))),mult(X2,X1)) = mult(f(X2),X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1373.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1372]).
% 9.00/9.46 cnf('0.1741.0.0',plain,
% 9.00/9.46 ( mult(X1,X1) = mult(rd(X1,mult(X1,X2)),mult(X1,mult(X2,X1))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.508.2.0','0.9.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1741.1.0',plain,
% 9.00/9.46 ( mult(X1,X1) = mult(rd(X1,mult(X1,X2)),mult(X1,mult(X2,X1))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1741.0.0']),
% 9.00/9.46 [weight('<179,508,9,[1,0,0,4]>')]).
% 9.00/9.46 cnf('0.1741.2.0',plain,
% 9.00/9.46 ( mult(rd(X1,mult(X1,X2)),mult(X1,mult(X2,X1))) = mult(X1,X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1741.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1736]).
% 9.00/9.46 cnf('0.1742.0.0',plain,
% 9.00/9.46 ( mult(mult(rd(X1,mult(X1,X2)),X1),mult(X2,mult(X1,X2))) = mult(mult(X1,X1),X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.10.2.0','0.1741.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1742.0.1',plain,
% 9.00/9.46 ( mult(ld(rd(mult(X1,X2),X1),X1),mult(X2,mult(X1,X2))) = mult(mult(X1,X1),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1742.0.0','0.627.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1742.0.2',plain,
% 9.00/9.46 ( mult(ld(rd(X1,rd(X1,X2)),X1),mult(X2,mult(X1,X2))) = mult(mult(X1,X1),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1742.0.1','0.625.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1.1','L')]).
% 9.00/9.46 cnf('0.1742.0.3',plain,
% 9.00/9.46 ( mult(rd(X1,X2),mult(X2,mult(X1,X2))) = mult(mult(X1,X1),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1742.0.2','0.20.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1742.0.4',plain,
% 9.00/9.46 ( mult(rd(X1,X2),mult(X2,mult(X1,X2))) = mult(X1,mult(X1,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1742.0.3','0.24.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.1742.1.0',plain,
% 9.00/9.46 ( mult(rd(X1,X2),mult(X2,mult(X1,X2))) = mult(X1,mult(X1,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1742.0.4']),
% 9.00/9.46 [weight('<149,1741,10,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.1742.2.0',plain,
% 9.00/9.46 ( mult(rd(X1,X2),mult(X2,mult(X1,X2))) = mult(X1,mult(X1,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1742.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_1737]).
% 9.00/9.46 cnf('0.1743.0.0',plain,
% 9.00/9.46 ( mult(rd(X1,X2),mult(rd(X1,X2),X2)) = mult(rd(rd(X1,X2),X2),mult(X2,X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.1742.2.0','0.5.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.2','L')]).
% 9.00/9.46 cnf('0.1743.0.1',plain,
% 9.00/9.46 ( mult(rd(X1,X2),X1) = mult(rd(rd(X1,X2),X2),mult(X2,X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1743.0.0','0.5.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1743.0.2',plain,
% 9.00/9.46 ( ld(rd(X2,X1),X1) = mult(rd(rd(X1,X2),X2),mult(X2,X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1743.0.1','0.627.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.1743.0.3',plain,
% 9.00/9.46 ( ld(rd(X2,X1),X1) = mult(rd(X1,mult(X2,X2)),mult(X2,X1)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1743.0.2','0.82.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1','L')]).
% 9.00/9.46 cnf('0.1743.1.0',plain,
% 9.00/9.46 ( ld(rd(X2,X1),X1) = mult(rd(X1,mult(X2,X2)),mult(X2,X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1743.0.3']),
% 9.00/9.46 [weight('<149,1742,5,[1,0,0,6]>')]).
% 9.00/9.46 cnf('0.1743.2.0',plain,
% 9.00/9.46 ( mult(rd(X1,mult(X2,X2)),mult(X2,X1)) = ld(rd(X2,X1),X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1743.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1738]).
% 9.00/9.46 cnf('0.1749.0.0',plain,
% 9.00/9.46 ( rd(X1,mult(X2,X2)) = rd(ld(rd(X2,X1),X1),mult(X2,X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.7.2.0','0.1743.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1749.1.0',plain,
% 9.00/9.46 ( rd(X1,mult(X2,X2)) = rd(ld(rd(X2,X1),X1),mult(X2,X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1749.0.0']),
% 9.00/9.46 [weight('<149,1743,7,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.1749.2.0',plain,
% 9.00/9.46 ( rd(ld(rd(X1,X2),X2),mult(X1,X2)) = rd(X2,mult(X1,X1)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1749.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1744]).
% 9.00/9.46 cnf('0.1753.0.0',plain,
% 9.00/9.46 ( rd(X1,mult(ld(X2,X1),ld(X2,X1))) = rd(ld(rd(ld(X2,X1),X1),X1),ld(X2,mult(X1,X1))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.1749.2.0','0.489.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1753.0.1',plain,
% 9.00/9.46 ( rd(X1,ld(X2,ld(rd(X2,X1),X1))) = rd(ld(rd(ld(X2,X1),X1),X1),ld(X2,mult(X1,X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1753.0.0','0.663.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1753.0.2',plain,
% 9.00/9.46 ( ld(rd(X1,X2),X2) = rd(ld(rd(ld(X2,X1),X1),X1),ld(X2,mult(X1,X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1753.0.1','0.843.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.1753.0.3',plain,
% 9.00/9.46 ( ld(rd(X1,X2),X2) = rd(ld(ld(X1,rd(X1,X2)),X1),ld(X2,mult(X1,X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1753.0.2','0.620.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1.1','L')]).
% 9.00/9.46 cnf('0.1753.0.4',plain,
% 9.00/9.46 ( ld(rd(X1,X2),X2) = rd(ld(rd(X1,X2),mult(X1,X1)),ld(X2,mult(X1,X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1753.0.3','0.510.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1','L')]).
% 9.00/9.46 cnf('0.1753.0.5',plain,
% 9.00/9.46 ( ld(rd(X1,X2),X2) = rd(mult(X2,X1),ld(X2,mult(X1,X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1753.0.4','0.495.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1','L')]).
% 9.00/9.46 cnf('0.1753.1.0',plain,
% 9.00/9.46 ( ld(rd(X1,X2),X2) = rd(mult(X2,X1),ld(X2,mult(X1,X1))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1753.0.5']),
% 9.00/9.46 [weight('<149,1749,489,[1,0,0,6]>')]).
% 9.00/9.46 cnf('0.1753.2.0',plain,
% 9.00/9.46 ( rd(mult(X1,X2),ld(X1,mult(X2,X2))) = ld(rd(X2,X1),X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1753.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1748]).
% 9.00/9.46 cnf('0.1754.0.0',plain,
% 9.00/9.46 ( ld(rd(f(X1),X2),X2) = rd(mult(X2,f(X1)),ld(X2,X1)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.1753.2.0','0.4.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.2','L')]).
% 9.00/9.46 cnf('0.1754.1.0',plain,
% 9.00/9.46 ( ld(rd(f(X1),X2),X2) = rd(mult(X2,f(X1)),ld(X2,X1)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1754.0.0']),
% 9.00/9.46 [weight('<134,1753,4,[1,0,0,6]>')]).
% 9.00/9.46 cnf('0.1754.2.0',plain,
% 9.00/9.46 ( rd(mult(X1,f(X2)),ld(X1,X2)) = ld(rd(f(X2),X1),X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1754.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1749]).
% 9.00/9.46 cnf('0.1784.0.0',plain,
% 9.00/9.46 ( mult(X1,f(X2)) = mult(ld(rd(f(X2),X1),X1),ld(X1,X2)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.5.2.0','0.1754.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1784.1.0',plain,
% 9.00/9.46 ( mult(X1,f(X2)) = mult(ld(rd(f(X2),X1),X1),ld(X1,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1784.0.0']),
% 9.00/9.46 [weight('<164,1754,5,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.1784.2.0',plain,
% 9.00/9.46 ( mult(ld(rd(f(X1),X2),X2),ld(X2,X1)) = mult(X2,f(X1)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1784.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1779]).
% 9.00/9.46 cnf('0.1825.0.0',plain,
% 9.00/9.46 ( mult(mult(X1,mult(X2,X1)),ld(X1,X3)) = ifeq(mult(X2,mult(X1,mult(ld(X1,X3),X1))),mult(mult(mult(X2,X1),ld(X1,X3)),X1),mult(X1,mult(X2,X3)),mult(mult(X1,mult(X2,X1)),ld(X1,X3))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.11.2.0','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.3.2.2','L')]).
% 9.00/9.46 cnf('0.1825.1.0',plain,
% 9.00/9.46 ( mult(mult(X1,mult(X2,X1)),ld(X1,X3)) = ifeq(mult(X2,mult(X1,mult(ld(X1,X3),X1))),mult(mult(mult(X2,X1),ld(X1,X3)),X1),mult(X1,mult(X2,X3)),mult(mult(X1,mult(X2,X1)),ld(X1,X3))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1825.0.0']),
% 9.00/9.46 [weight('<?,11,1,[1,0,0,19]>')]).
% 9.00/9.46 cnf('0.1825.1.1',plain,
% 9.00/9.46 ( mult(mult(X1,mult(X2,X1)),ld(X1,X3)) = ifeq(mult(X2,mult(X1,ld(X1,mult(X3,X1)))),mult(mult(mult(X2,X1),ld(X1,X3)),X1),mult(X1,mult(X2,X3)),mult(mult(X1,mult(X2,X1)),ld(X1,X3))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1825.1.0','0.27.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1.2.2','L')]).
% 9.00/9.46 cnf('0.1825.1.2',plain,
% 9.00/9.46 ( mult(mult(X1,mult(X2,X1)),ld(X1,X3)) = ifeq(mult(X2,mult(X3,X1)),mult(mult(mult(X2,X1),ld(X1,X3)),X1),mult(X1,mult(X2,X3)),mult(mult(X1,mult(X2,X1)),ld(X1,X3))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1825.1.1','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1.2','L')]).
% 9.00/9.46 cnf('0.1825.2.0',plain,
% 9.00/9.46 ( ifeq(mult(X1,mult(X2,X3)),mult(mult(mult(X1,X3),ld(X3,X2)),X3),mult(X3,mult(X1,X2)),mult(mult(X3,mult(X1,X3)),ld(X3,X2))) = mult(mult(X3,mult(X1,X3)),ld(X3,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1825.1.2',theory(equality)]),
% 9.00/9.46 [x,rule_1819]).
% 9.00/9.46 cnf('0.1826.0.0',plain,
% 9.00/9.46 ( mult(mult(X1,mult(ld(X1,rd(X1,f(X2))),X1)),ld(X1,X2)) = ifeq(mult(f(X2),X1),mult(mult(mult(ld(X1,rd(X1,f(X2))),X1),ld(X1,X2)),X1),mult(X1,mult(ld(X1,rd(X1,f(X2))),X2)),mult(mult(X1,mult(ld(X1,rd(X1,f(X2))),X1)),ld(X1,X2))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.1825.2.0','0.1373.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1826.0.1',plain,
% 9.00/9.46 ( mult(mult(X1,ld(X1,mult(rd(X1,f(X2)),X1))),ld(X1,X2)) = ifeq(mult(f(X2),X1),mult(mult(mult(ld(X1,rd(X1,f(X2))),X1),ld(X1,X2)),X1),mult(X1,mult(ld(X1,rd(X1,f(X2))),X2)),mult(mult(X1,mult(ld(X1,rd(X1,f(X2))),X1)),ld(X1,X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1826.0.0','0.27.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1.2','L')]).
% 9.00/9.46 cnf('0.1826.0.2',plain,
% 9.00/9.46 ( mult(mult(rd(X1,f(X2)),X1),ld(X1,X2)) = ifeq(mult(f(X2),X1),mult(mult(mult(ld(X1,rd(X1,f(X2))),X1),ld(X1,X2)),X1),mult(X1,mult(ld(X1,rd(X1,f(X2))),X2)),mult(mult(X1,mult(ld(X1,rd(X1,f(X2))),X1)),ld(X1,X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1826.0.1','0.1.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1826.0.3',plain,
% 9.00/9.46 ( mult(ld(rd(f(X2),X1),X1),ld(X1,X2)) = ifeq(mult(f(X2),X1),mult(mult(mult(ld(X1,rd(X1,f(X2))),X1),ld(X1,X2)),X1),mult(X1,mult(ld(X1,rd(X1,f(X2))),X2)),mult(mult(X1,mult(ld(X1,rd(X1,f(X2))),X1)),ld(X1,X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1826.0.2','0.627.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1826.0.4',plain,
% 9.00/9.46 ( mult(X1,f(X2)) = ifeq(mult(f(X2),X1),mult(mult(mult(ld(X1,rd(X1,f(X2))),X1),ld(X1,X2)),X1),mult(X1,mult(ld(X1,rd(X1,f(X2))),X2)),mult(mult(X1,mult(ld(X1,rd(X1,f(X2))),X1)),ld(X1,X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1826.0.3','0.1784.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.1826.0.5',plain,
% 9.00/9.46 ( mult(X1,f(X2)) = ifeq(mult(f(X2),X1),mult(mult(ld(X1,mult(rd(X1,f(X2)),X1)),ld(X1,X2)),X1),mult(X1,mult(ld(X1,rd(X1,f(X2))),X2)),mult(mult(X1,mult(ld(X1,rd(X1,f(X2))),X1)),ld(X1,X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1826.0.4','0.27.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2.1.1','L')]).
% 9.00/9.46 cnf('0.1826.0.6',plain,
% 9.00/9.46 ( mult(X1,f(X2)) = ifeq(mult(f(X2),X1),mult(mult(ld(X1,ld(rd(f(X2),X1),X1)),ld(X1,X2)),X1),mult(X1,mult(ld(X1,rd(X1,f(X2))),X2)),mult(mult(X1,mult(ld(X1,rd(X1,f(X2))),X1)),ld(X1,X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1826.0.5','0.627.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2.1.1.2','L')]).
% 9.00/9.46 cnf('0.1826.0.7',plain,
% 9.00/9.46 ( mult(X1,f(X2)) = ifeq(mult(f(X2),X1),mult(mult(ld(f(X2),X1),ld(X1,X2)),X1),mult(X1,mult(ld(X1,rd(X1,f(X2))),X2)),mult(mult(X1,mult(ld(X1,rd(X1,f(X2))),X1)),ld(X1,X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1826.0.6','0.629.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2.1.1','L')]).
% 9.00/9.46 cnf('0.1826.0.8',plain,
% 9.00/9.46 ( mult(X1,f(X2)) = ifeq(mult(f(X2),X1),mult(f(X2),X1),mult(X1,mult(ld(X1,rd(X1,f(X2))),X2)),mult(mult(X1,mult(ld(X1,rd(X1,f(X2))),X1)),ld(X1,X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1826.0.7','0.539.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2.1','L')]).
% 9.00/9.46 cnf('0.1826.0.9',plain,
% 9.00/9.46 ( mult(X1,f(X2)) = mult(X1,mult(ld(X1,rd(X1,f(X2))),X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1826.0.8','0.6.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.1826.1.0',plain,
% 9.00/9.46 ( f(X2) = mult(ld(X1,rd(X1,f(X2))),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1826.0.9']),
% 9.00/9.46 [weight('<98,1825,1373,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.1826.2.0',plain,
% 9.00/9.46 ( mult(ld(X1,rd(X1,f(X2))),X2) = f(X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1826.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1820]).
% 9.00/9.46 cnf('0.1827.0.0',plain,
% 9.00/9.46 ( ld(X1,rd(X1,f(X2))) = rd(f(X2),X2) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.7.2.0','0.1826.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1827.0.1',plain,
% 9.00/9.46 ( ld(X1,rd(X1,f(X2))) = ld(f(X2),unit) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1827.0.0','0.47.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.1827.1.0',plain,
% 9.00/9.46 ( ld(X1,rd(X1,f(X2))) = ld(f(X2),unit) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1827.0.1']),
% 9.00/9.46 [weight('<76,1826,7,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.1827.2.0',plain,
% 9.00/9.46 ( ld(X1,rd(X1,f(X2))) = ld(f(X2),unit) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1827.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_1821]).
% 9.00/9.46 cnf('0.1828.0.0',plain,
% 9.00/9.46 ( ld(X1,ld(rd(X1,rd(X1,f(X2))),rd(X1,f(X2)))) = mult(ld(f(X2),unit),ld(X1,rd(X1,f(X2)))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.663.2.0','0.1827.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1828.0.1',plain,
% 9.00/9.46 ( ld(X1,rd(X1,mult(f(X2),f(X2)))) = mult(ld(f(X2),unit),ld(X1,rd(X1,f(X2)))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1828.0.0','0.903.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1828.0.2',plain,
% 9.00/9.46 ( ld(X1,rd(X1,X2)) = mult(ld(f(X2),unit),ld(X1,rd(X1,f(X2)))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1828.0.1','0.4.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2.2','L')]).
% 9.00/9.46 cnf('0.1828.0.3',plain,
% 9.00/9.46 ( ld(X1,rd(X1,X2)) = mult(ld(f(X2),unit),ld(f(X2),unit)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1828.0.2','0.1827.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.1828.0.4',plain,
% 9.00/9.46 ( ld(X1,rd(X1,X2)) = ld(f(X2),ld(rd(f(X2),unit),unit)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1828.0.3','0.663.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.1828.0.5',plain,
% 9.00/9.46 ( ld(X1,rd(X1,X2)) = ld(f(X2),ld(f(X2),unit)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1828.0.4','0.14.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2.1','L')]).
% 9.00/9.46 cnf('0.1828.0.6',plain,
% 9.00/9.46 ( ld(X1,rd(X1,X2)) = ld(X2,unit) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1828.0.5','0.88.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.1828.1.0',plain,
% 9.00/9.46 ( ld(X1,rd(X1,X2)) = ld(X2,unit) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1828.0.6']),
% 9.00/9.46 [weight('<53,1827,663,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.1828.2.0',plain,
% 9.00/9.46 ( ld(X1,rd(X1,X2)) = ld(X2,unit) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1828.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_1822]).
% 9.00/9.46 cnf('0.1829.0.0',plain,
% 9.00/9.46 ( rd(X1,mult(X2,X1)) = ld(X1,rd(X1,X2)) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.521.2.0'])).
% 9.00/9.46 cnf('0.1829.0.1',plain,
% 9.00/9.46 ( rd(X1,mult(X2,X1)) = ld(X2,unit) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1829.0.0','0.1828.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.1829.1.0',plain,
% 9.00/9.46 ( rd(X1,mult(X2,X1)) = ld(X2,unit) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1829.0.1']),
% 9.00/9.46 [weight('<53,521,1828,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.1829.2.0',plain,
% 9.00/9.46 ( rd(X1,mult(X2,X1)) = ld(X2,unit) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1829.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_1823]).
% 9.00/9.46 cnf('0.1830.0.0',plain,
% 9.00/9.46 ( ld(X1,rd(X1,rd(X2,X1))) = rd(X1,X2) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.524.2.0'])).
% 9.00/9.46 cnf('0.1830.0.1',plain,
% 9.00/9.46 ( ld(rd(X2,X1),unit) = rd(X1,X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1830.0.0','0.1828.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.1830.1.0',plain,
% 9.00/9.46 ( ld(rd(X2,X1),unit) = rd(X1,X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1830.0.1']),
% 9.00/9.46 [weight('<53,524,1828,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.1830.2.0',plain,
% 9.00/9.46 ( ld(rd(X1,X2),unit) = rd(X2,X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1830.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_1824]).
% 9.00/9.46 cnf('0.1833.0.0',plain,
% 9.00/9.46 ( rd(X1,X2) = mult(X1,ld(X2,unit)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.1.2.0','0.1828.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1833.1.0',plain,
% 9.00/9.46 ( rd(X1,X2) = mult(X1,ld(X2,unit)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1833.0.0']),
% 9.00/9.46 [weight('<53,1828,1,[0,0,0,2]>')]).
% 9.00/9.46 cnf('0.1833.2.0',plain,
% 9.00/9.46 ( mult(X1,ld(X2,unit)) = rd(X1,X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1833.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1827]).
% 9.00/9.46 cnf('0.1834.0.0',plain,
% 9.00/9.46 ( ld(ld(X1,X2),unit) = ld(X2,X1) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.1828.2.0','0.19.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1834.1.0',plain,
% 9.00/9.46 ( ld(ld(X1,X2),unit) = ld(X2,X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1834.0.0']),
% 9.00/9.46 [weight('<53,1828,19,[1,0,0,2]>')]).
% 9.00/9.46 cnf('0.1834.2.0',plain,
% 9.00/9.46 ( ld(ld(X1,X2),unit) = ld(X2,X1) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1834.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_1828]).
% 9.00/9.46 cnf('0.1835.0.0',plain,
% 9.00/9.46 ( ld(X1,mult(rd(X1,X2),X1)) = mult(ld(X2,unit),X1) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.27.2.0','0.1828.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1835.0.1',plain,
% 9.00/9.46 ( ld(X1,ld(rd(X2,X1),X1)) = mult(ld(X2,unit),X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1835.0.0','0.627.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1835.0.2',plain,
% 9.00/9.46 ( ld(X2,X1) = mult(ld(X2,unit),X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1835.0.1','0.629.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.1835.1.0',plain,
% 9.00/9.46 ( ld(X2,X1) = mult(ld(X2,unit),X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1835.0.2']),
% 9.00/9.46 [weight('<53,1828,27,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.1835.2.0',plain,
% 9.00/9.46 ( mult(ld(X1,unit),X2) = ld(X1,X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1835.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1829]).
% 9.00/9.46 cnf('0.1836.0.0',plain,
% 9.00/9.46 ( ld(rd(X1,X2),mult(X1,X1)) = ld(ld(X2,unit),X1) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.510.2.0','0.1828.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1836.0.1',plain,
% 9.00/9.46 ( mult(X2,X1) = ld(ld(X2,unit),X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1836.0.0','0.495.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.1836.1.0',plain,
% 9.00/9.46 ( mult(X2,X1) = ld(ld(X2,unit),X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1836.0.1']),
% 9.00/9.46 [weight('<53,1828,510,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.1836.2.0',plain,
% 9.00/9.46 ( ld(ld(X1,unit),X2) = mult(X1,X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1836.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1830]).
% 9.00/9.46 cnf('0.1837.0.0',plain,
% 9.00/9.46 ( ld(rd(rd(X1,X2),X1),X1) = rd(X1,ld(X2,unit)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.623.2.0','0.1828.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1837.0.1',plain,
% 9.00/9.46 ( ld(rd(X1,mult(X1,X2)),X1) = rd(X1,ld(X2,unit)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1837.0.0','0.621.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1837.0.2',plain,
% 9.00/9.46 ( mult(X1,X2) = rd(X1,ld(X2,unit)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1837.0.1','0.20.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.1837.1.0',plain,
% 9.00/9.46 ( mult(X1,X2) = rd(X1,ld(X2,unit)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1837.0.2']),
% 9.00/9.46 [weight('<53,1828,623,[0,0,0,2]>')]).
% 9.00/9.46 cnf('0.1837.2.0',plain,
% 9.00/9.46 ( rd(X1,ld(X2,unit)) = mult(X1,X2) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1837.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1831]).
% 9.00/9.46 cnf('0.1839.0.0',plain,
% 9.00/9.46 ( ld(mult(X1,X2),unit) = ld(f(X2),ld(X2,rd(f(X2),X1))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.1828.2.0','0.531.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1839.0.1',plain,
% 9.00/9.46 ( ld(mult(X1,X2),unit) = ld(X2,ld(f(X2),rd(f(X2),X1))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1839.0.0','0.109.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.1839.0.2',plain,
% 9.00/9.46 ( ld(mult(X1,X2),unit) = ld(X2,ld(X1,unit)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1839.0.1','0.1828.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.1839.1.0',plain,
% 9.00/9.46 ( ld(mult(X1,X2),unit) = ld(X2,ld(X1,unit)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1839.0.2']),
% 9.00/9.46 [weight('<65,1828,531,[1,0,0,2]>')]).
% 9.00/9.46 cnf('0.1839.2.0',plain,
% 9.00/9.46 ( ld(mult(X1,X2),unit) = ld(X2,ld(X1,unit)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1839.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_1833]).
% 9.00/9.46 cnf('0.1840.0.0',plain,
% 9.00/9.46 ( ld(f(f(f(X1))),rd(rd(f(f(f(X1))),X2),X1)) = rd(ld(X2,unit),X1) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.1196.2.0','0.1828.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1840.0.1',plain,
% 9.00/9.46 ( ld(f(f(f(X1))),rd(f(f(f(X1))),mult(X1,X2))) = rd(ld(X2,unit),X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1840.0.0','0.1158.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1840.0.2',plain,
% 9.00/9.46 ( ld(mult(X1,X2),unit) = rd(ld(X2,unit),X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1840.0.1','0.1828.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.1840.1.0',plain,
% 9.00/9.46 ( ld(mult(X1,X2),unit) = rd(ld(X2,unit),X1) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1840.0.2']),
% 9.00/9.46 [weight('<65,1828,1196,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.1840.1.1',plain,
% 9.00/9.46 ( ld(X2,ld(X1,unit)) = rd(ld(X2,unit),X1) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.1840.1.0','0.1839.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.1840.2.0',plain,
% 9.00/9.46 ( rd(ld(X1,unit),X2) = ld(X1,ld(X2,unit)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1840.1.1',theory(equality)]),
% 9.00/9.46 [x,rule_1834]).
% 9.00/9.46 cnf('0.1841.0.0',plain,
% 9.00/9.46 ( rd(X1,rd(X2,X3)) = mult(X1,rd(X3,X2)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.1833.2.0','0.1830.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1841.1.0',plain,
% 9.00/9.46 ( rd(X1,rd(X2,X3)) = mult(X1,rd(X3,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1841.0.0']),
% 9.00/9.46 [weight('<65,1833,1830,[1,0,0,2]>')]).
% 9.00/9.46 cnf('0.1841.2.0',plain,
% 9.00/9.46 ( mult(X1,rd(X2,X3)) = rd(X1,rd(X3,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1841.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1835]).
% 9.00/9.46 cnf('0.1842.0.0',plain,
% 9.00/9.46 ( rd(X1,ld(X2,X3)) = mult(X1,ld(X3,X2)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.1833.2.0','0.1834.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1842.1.0',plain,
% 9.00/9.46 ( rd(X1,ld(X2,X3)) = mult(X1,ld(X3,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1842.0.0']),
% 9.00/9.46 [weight('<65,1834,1833,[0,0,0,2]>')]).
% 9.00/9.46 cnf('0.1842.2.0',plain,
% 9.00/9.46 ( mult(X1,ld(X2,X3)) = rd(X1,ld(X3,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1842.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1836]).
% 9.00/9.46 cnf('0.1843.0.0',plain,
% 9.00/9.46 ( ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.1835.2.0','0.1830.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1843.1.0',plain,
% 9.00/9.46 ( ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1843.0.0']),
% 9.00/9.46 [weight('<65,1835,1830,[1,0,0,1]>')]).
% 9.00/9.46 cnf('0.1843.2.0',plain,
% 9.00/9.46 ( mult(rd(X1,X2),X3) = ld(rd(X2,X1),X3) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1843.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1837]).
% 9.00/9.46 cnf('0.1869.0.0',plain,
% 9.00/9.46 ( mult(mult(X1,X2),X3) = ld(ld(X2,ld(X1,unit)),X3) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.1836.2.0','0.1839.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.1869.1.0',plain,
% 9.00/9.46 ( mult(mult(X1,X2),X3) = ld(ld(X2,ld(X1,unit)),X3) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1869.0.0']),
% 9.00/9.46 [weight('<103,1839,1836,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.1869.2.0',plain,
% 9.00/9.46 ( ld(ld(X1,ld(X2,unit)),X3) = mult(mult(X2,X1),X3) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1869.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1863]).
% 9.00/9.46 cnf('0.1870.0.0',plain,
% 9.00/9.46 ( mult(X1,mult(X2,X3)) = rd(X1,ld(X3,ld(X2,unit))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.1837.2.0','0.1839.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.1870.1.0',plain,
% 9.00/9.46 ( mult(X1,mult(X2,X3)) = rd(X1,ld(X3,ld(X2,unit))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.1870.0.0']),
% 9.00/9.46 [weight('<103,1839,1837,[0,0,0,2]>')]).
% 9.00/9.46 cnf('0.1870.2.0',plain,
% 9.00/9.46 ( rd(X1,ld(X2,ld(X3,unit))) = mult(X1,mult(X3,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.1870.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_1864]).
% 9.00/9.46 cnf('0.2610.0.0',plain,
% 9.00/9.46 ( mult(mult(X1,mult(ld(X2,X3),X3)),X2) = mult(mult(X1,ld(X2,X3)),mult(X3,X2)) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.310.2.0'])).
% 9.00/9.46 cnf('0.2610.0.1',plain,
% 9.00/9.46 ( mult(mult(X1,ld(X2,mult(X3,X3))),X2) = mult(mult(X1,ld(X2,X3)),mult(X3,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.2610.0.0','0.489.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1.2','L')]).
% 9.00/9.46 cnf('0.2610.1.0',plain,
% 9.00/9.46 ( mult(mult(X1,ld(X2,mult(X3,X3))),X2) = mult(mult(X1,ld(X2,X3)),mult(X3,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.2610.0.1']),
% 9.00/9.46 [weight('<189,310,489,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.2610.1.1',plain,
% 9.00/9.46 ( mult(rd(X1,ld(mult(X3,X3),X2)),X2) = mult(mult(X1,ld(X2,X3)),mult(X3,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.2610.1.0','0.1842.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.2610.1.2',plain,
% 9.00/9.46 ( ld(rd(ld(mult(X3,X3),X2),X1),X2) = mult(mult(X1,ld(X2,X3)),mult(X3,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.2610.1.1','0.1843.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.2610.1.3',plain,
% 9.00/9.46 ( ld(rd(ld(X3,ld(X3,X2)),X1),X2) = mult(mult(X1,ld(X2,X3)),mult(X3,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.2610.1.2','0.93.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1.1','L')]).
% 9.00/9.46 cnf('0.2610.1.4',plain,
% 9.00/9.46 ( ld(rd(ld(X3,ld(X3,X2)),X1),X2) = mult(rd(X1,ld(X3,X2)),mult(X3,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.2610.1.3','0.1842.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1','L')]).
% 9.00/9.46 cnf('0.2610.1.5',plain,
% 9.00/9.46 ( ld(rd(ld(X3,ld(X3,X2)),X1),X2) = ld(rd(ld(X3,X2),X1),mult(X3,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.2610.1.4','0.1843.2.0',theory(equality)]),
% 9.00/9.46 [pos('R','L')]).
% 9.00/9.46 cnf('0.2610.2.0',plain,
% 9.00/9.46 ( ld(rd(ld(X1,ld(X1,X2)),X3),X2) = ld(rd(ld(X1,X2),X3),mult(X1,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.2610.1.5',theory(equality)]),
% 9.00/9.46 [u,rule_2600]).
% 9.00/9.46 cnf('0.3157.0.0',plain,
% 9.00/9.46 ( ld(rd(ld(X1,mult(X1,X2)),X3),mult(X1,mult(X1,X2))) = ld(rd(ld(X1,X2),X3),mult(X1,X2)) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.2610.2.0','0.8.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1.1.2','L')]).
% 9.00/9.46 cnf('0.3157.0.1',plain,
% 9.00/9.46 ( ld(rd(X2,X3),mult(X1,mult(X1,X2))) = ld(rd(ld(X1,X2),X3),mult(X1,X2)) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3157.0.0','0.8.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1.1','L')]).
% 9.00/9.46 cnf('0.3157.1.0',plain,
% 9.00/9.46 ( ld(rd(X2,X3),mult(X1,mult(X1,X2))) = ld(rd(ld(X1,X2),X3),mult(X1,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.3157.0.1']),
% 9.00/9.46 [weight('<189,2610,8,[1,0,0,4]>')]).
% 9.00/9.46 cnf('0.3157.2.0',plain,
% 9.00/9.46 ( ld(rd(ld(X1,X2),X3),mult(X1,X2)) = ld(rd(X2,X3),mult(X1,mult(X1,X2))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.3157.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_3145]).
% 9.00/9.46 cnf('0.3158.0.0',plain,
% 9.00/9.46 ( ld(rd(ld(f(X1),X2),X3),mult(f(X1),mult(f(X1),ld(f(X1),X2)))) = ld(rd(ld(X1,X2),X3),mult(f(X1),ld(f(X1),X2))) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.3157.2.0','0.88.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1.1','L')]).
% 9.00/9.46 cnf('0.3158.0.1',plain,
% 9.00/9.46 ( ld(rd(ld(f(X1),X2),X3),mult(X1,ld(f(X1),X2))) = ld(rd(ld(X1,X2),X3),mult(f(X1),ld(f(X1),X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3158.0.0','0.62.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.3158.0.2',plain,
% 9.00/9.46 ( ld(rd(ld(f(X1),X2),X3),rd(X1,ld(X2,f(X1)))) = ld(rd(ld(X1,X2),X3),mult(f(X1),ld(f(X1),X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3158.0.1','0.1842.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.3158.0.3',plain,
% 9.00/9.46 ( ld(rd(ld(f(X1),X2),X3),mult(f(X1),X2)) = ld(rd(ld(X1,X2),X3),mult(f(X1),ld(f(X1),X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3158.0.2','0.502.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.3158.0.4',plain,
% 9.00/9.46 ( ld(rd(X2,X3),mult(f(X1),mult(f(X1),X2))) = ld(rd(ld(X1,X2),X3),mult(f(X1),ld(f(X1),X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3158.0.3','0.3157.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.3158.0.5',plain,
% 9.00/9.46 ( ld(rd(X2,X3),mult(X1,X2)) = ld(rd(ld(X1,X2),X3),mult(f(X1),ld(f(X1),X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3158.0.4','0.62.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.3158.0.6',plain,
% 9.00/9.46 ( ld(rd(X2,X3),mult(X1,X2)) = ld(rd(ld(X1,X2),X3),rd(f(X1),ld(X2,f(X1)))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3158.0.5','0.1842.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.3158.0.7',plain,
% 9.00/9.46 ( ld(rd(X2,X3),mult(X1,X2)) = ld(rd(ld(X1,X2),X3),X2) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3158.0.6','0.19.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.2','L')]).
% 9.00/9.46 cnf('0.3158.1.0',plain,
% 9.00/9.46 ( ld(rd(X2,X3),mult(X1,X2)) = ld(rd(ld(X1,X2),X3),X2) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.3158.0.7']),
% 9.00/9.46 [weight('<119,3157,88,[1,0,0,2]>')]).
% 9.00/9.46 cnf('0.3158.2.0',plain,
% 9.00/9.46 ( ld(rd(ld(X1,X2),X3),X2) = ld(rd(X2,X3),mult(X1,X2)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.3158.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_3146]).
% 9.00/9.46 cnf('0.3162.0.0',plain,
% 9.00/9.46 ( mult(mult(X1,rd(ld(X2,ld(X1,unit)),X3)),X4) = ld(ld(rd(ld(X1,unit),X3),mult(X2,ld(X1,unit))),X4) ),
% 9.00/9.46 inference(cp,[status(thm)],['0.1869.2.0','0.3158.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.3162.0.1',plain,
% 9.00/9.46 ( mult(rd(X1,rd(X3,ld(X2,ld(X1,unit)))),X4) = ld(ld(rd(ld(X1,unit),X3),mult(X2,ld(X1,unit))),X4) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3162.0.0','0.1841.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('0.3162.0.2',plain,
% 9.00/9.46 ( ld(rd(rd(X3,ld(X2,ld(X1,unit))),X1),X4) = ld(ld(rd(ld(X1,unit),X3),mult(X2,ld(X1,unit))),X4) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3162.0.1','0.1843.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.3162.0.3',plain,
% 9.00/9.46 ( ld(rd(mult(X3,mult(X1,X2)),X1),X4) = ld(ld(rd(ld(X1,unit),X3),mult(X2,ld(X1,unit))),X4) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3162.0.2','0.1870.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1.1','L')]).
% 9.00/9.46 cnf('0.3162.0.4',plain,
% 9.00/9.46 ( ld(rd(mult(X3,mult(X1,X2)),X1),X4) = ld(ld(ld(X1,ld(X3,unit)),mult(X2,ld(X1,unit))),X4) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3162.0.3','0.1840.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1.1','L')]).
% 9.00/9.46 cnf('0.3162.0.5',plain,
% 9.00/9.46 ( ld(rd(mult(X3,mult(X1,X2)),X1),X4) = ld(mult(mult(X3,X1),mult(X2,ld(X1,unit))),X4) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3162.0.4','0.1869.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1','L')]).
% 9.00/9.46 cnf('0.3162.0.6',plain,
% 9.00/9.46 ( ld(rd(mult(X3,mult(X1,X2)),X1),X4) = ld(mult(mult(X3,X1),rd(X2,ld(unit,X1))),X4) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3162.0.5','0.1842.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1.2','L')]).
% 9.00/9.46 cnf('0.3162.0.7',plain,
% 9.00/9.46 ( ld(rd(mult(X3,mult(X1,X2)),X1),X4) = ld(rd(mult(X3,X1),rd(ld(unit,X1),X2)),X4) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3162.0.6','0.1841.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1','L')]).
% 9.00/9.46 cnf('0.3162.0.8',plain,
% 9.00/9.46 ( ld(rd(mult(X3,mult(X1,X2)),X1),X4) = ld(rd(mult(X3,X1),rd(X1,X2)),X4) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3162.0.7','0.13.2.0',theory(equality)]),
% 9.00/9.46 [pos('R.1.2.1','L')]).
% 9.00/9.46 cnf('0.3162.1.0',plain,
% 9.00/9.46 ( rd(mult(X3,mult(X1,X2)),X1) = rd(mult(X3,X1),rd(X1,X2)) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.3162.0.8']),
% 9.00/9.46 [weight('<119,3158,1869,[0,0,0,1]>')]).
% 9.00/9.46 cnf('0.3162.2.0',plain,
% 9.00/9.46 ( rd(mult(X1,mult(X2,X3)),X2) = rd(mult(X1,X2),rd(X2,X3)) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.3162.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_3150]).
% 9.00/9.46 cnf('0.3163.0.0',plain,
% 9.00/9.46 ( rd(mult(mult(X1,X2),mult(X3,mult(X2,X3))),X3) = mult(X1,mult(X2,mult(X3,X2))) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.714.2.0'])).
% 9.00/9.46 cnf('0.3163.0.1',plain,
% 9.00/9.46 ( rd(mult(mult(X1,X2),X3),rd(X3,mult(X2,X3))) = mult(X1,mult(X2,mult(X3,X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3163.0.0','0.3162.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.3163.0.2',plain,
% 9.00/9.46 ( rd(mult(mult(X1,X2),X3),ld(X2,unit)) = mult(X1,mult(X2,mult(X3,X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3163.0.1','0.1829.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.3163.0.3',plain,
% 9.00/9.46 ( mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(X2,mult(X3,X2))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3163.0.2','0.1837.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.3163.1.0',plain,
% 9.00/9.46 ( mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(X2,mult(X3,X2))) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.3163.0.3']),
% 9.00/9.46 [weight('<119,714,3162,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.3163.2.0',plain,
% 9.00/9.46 ( mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(X2,mult(X3,X2))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.3163.1.0',theory(equality)]),
% 9.00/9.46 [u,rule_3151]).
% 9.00/9.46 cnf('0.3164.0.0',plain,
% 9.00/9.46 ( ifeq(mult(X1,mult(X2,mult(X3,X2))),mult(mult(mult(X1,X2),X3),X2),mult(X2,mult(X1,mult(X2,X3))),mult(mult(X2,mult(X1,X2)),X3)) = mult(mult(X2,mult(X1,X2)),X3) ),
% 9.00/9.46 inference(interreduction_right,[status(thm)],['0.11.2.0'])).
% 9.00/9.46 cnf('0.3164.0.1',plain,
% 9.00/9.46 ( ifeq(mult(X1,mult(X2,mult(X3,X2))),mult(X1,mult(X2,mult(X3,X2))),mult(X2,mult(X1,mult(X2,X3))),mult(mult(X2,mult(X1,X2)),X3)) = mult(mult(X2,mult(X1,X2)),X3) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3164.0.0','0.3163.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.2','L')]).
% 9.00/9.46 cnf('0.3164.0.2',plain,
% 9.00/9.46 ( mult(X2,mult(X1,mult(X2,X3))) = mult(mult(X2,mult(X1,X2)),X3) ),
% 9.00/9.46 inference(reduction,[status(thm)],['0.3164.0.1','0.6.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('0.3164.1.0',plain,
% 9.00/9.46 ( mult(X2,mult(X1,mult(X2,X3))) = mult(mult(X2,mult(X1,X2)),X3) ),
% 9.00/9.46 inference(weigh,[status(thm)],['0.3164.0.2']),
% 9.00/9.46 [weight('<119,11,3163,[0,0,0,0]>')]).
% 9.00/9.46 cnf('0.3164.2.0',plain,
% 9.00/9.46 ( mult(mult(X1,mult(X2,X1)),X3) = mult(X1,mult(X2,mult(X1,X3))) ),
% 9.00/9.46 inference(orient,[status(thm)],['0.3164.1.0',theory(equality)]),
% 9.00/9.46 [x,rule_3152]).
% 9.00/9.46 cnf('1.0.0.0',conjecture,
% 9.00/9.46 ( mult(mult(mult(a,b),a),c) = mult(a,mult(b,mult(a,c))) ),
% 9.00/9.46 file('/tmp/WALDMEISTER_15537_n019',conjecture_1)).
% 9.00/9.46 cnf('1.0.0.1',plain,
% 9.00/9.46 ( mult(mult(a,mult(b,a)),c) = mult(a,mult(b,mult(a,c))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['1.0.0.0','0.9.2.0',theory(equality)]),
% 9.00/9.46 [pos('L.1','L')]).
% 9.00/9.46 cnf('1.0.0.2',plain,
% 9.00/9.46 ( mult(a,mult(b,mult(a,c))) = mult(a,mult(b,mult(a,c))) ),
% 9.00/9.46 inference(reduction,[status(thm)],['1.0.0.1','0.3164.2.0',theory(equality)]),
% 9.00/9.46 [pos('L','L')]).
% 9.00/9.46 cnf('1.0.0.3',plain,
% 9.00/9.46 ( $true ),
% 9.00/9.46 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 9.00/9.46 [conjecture_1]).
% 9.00/9.46
% 9.00/9.46 Proved Goals:
% 9.00/9.46 No. 1: mult(mult(mult(a,b),a),c) ?= mult(a,mult(b,mult(a,c))) joined, current: mult(a,mult(b,mult(a,c))) = mult(a,mult(b,mult(a,c)))
% 9.00/9.46 1 goal was specified, which was proved.
% 9.00/9.46 % SZS output end CNFRefutation
% 9.00/9.46 #END OF PROOF
% 9.00/9.46
% 9.00/9.46 Problem WALDMEISTER_15537_n019
% 9.00/9.46 CPs.gen 1663237
% 9.00/9.46 CPs.reexp 0
% 9.00/9.46 Select 23918
% 9.00/9.46 R 3152
% 9.00/9.46 E 12
% 9.00/9.46 vsize 10.2M
% 9.00/9.46 rss 5.8M
% 9.00/9.46 process.time 8.479s
% 9.00/9.46 wallclock.time 8.479s
% 9.00/9.46 status S
% 9.00/9.46
% 9.00/9.46
% 9.00/9.46 Waldmeister states: Goal proved.
% 9.00/9.46 % SZS status Unsatisfiable
%------------------------------------------------------------------------------