TSTP Solution File: GRP667-3 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP667-3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 12:27:46 EDT 2022
% Result : Unsatisfiable 4.94s 5.33s
% Output : CNFRefutation 4.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP667-3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.34 % CPULimit : 300
% 0.20/0.34 % WCLimit : 600
% 0.20/0.34 % DateTime : Mon Jun 13 09:22:50 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.99 * |/ | \/ | *
% 0.59/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.99 * A. Jaeger and B. Loechner | | *
% 0.59/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.59/0.99
% 0.59/0.99 Goals:
% 0.59/0.99 ------
% 0.59/0.99
% 0.59/0.99 ( 1) mult(mult(mult(a,b),c),b) ?=? mult(a,mult(b,mult(c,b)))
% 0.59/0.99
% 0.59/0.99 Detected structure: Loop
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 4.94/5.33 joined goal: 1 mult(mult(mult(a,b),c),b) ?= mult(a,mult(b,mult(c,b))) to mult(a,mult(b,mult(c,b)))
% 4.94/5.33 goal joined
% 4.94/5.33 % SZS status Unsatisfiable
% 4.94/5.33 #START OF PROOF
% 4.94/5.33 % SZS output start CNFRefutation
% 4.94/5.33 cnf('0.1.0.0',axiom,
% 4.94/5.33 ( X1 = mult(X2,ld(X2,X1)) ),
% 4.94/5.33 file('/tmp/WALDMEISTER_4579_n020')).
% 4.94/5.33 cnf('0.1.1.0',plain,
% 4.94/5.33 ( X1 = mult(X2,ld(X2,X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1.0.0']),
% 4.94/5.33 [weight('<0,0,0,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.1.2.0',plain,
% 4.94/5.33 ( mult(X1,ld(X1,X2)) = X2 ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_1]).
% 4.94/5.33 cnf('0.2.0.0',axiom,
% 4.94/5.33 ( X1 = mult(X1,unit) ),
% 4.94/5.33 file('/tmp/WALDMEISTER_4579_n020')).
% 4.94/5.33 cnf('0.2.1.0',plain,
% 4.94/5.33 ( X1 = mult(X1,unit) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.2.0.0']),
% 4.94/5.33 [weight('<1,0,0,[0,0,0,2]>')]).
% 4.94/5.33 cnf('0.2.2.0',plain,
% 4.94/5.33 ( mult(X1,unit) = X1 ),
% 4.94/5.33 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_2]).
% 4.94/5.33 cnf('0.3.0.0',axiom,
% 4.94/5.33 ( X1 = mult(unit,X1) ),
% 4.94/5.33 file('/tmp/WALDMEISTER_4579_n020')).
% 4.94/5.33 cnf('0.3.1.0',plain,
% 4.94/5.33 ( X1 = mult(unit,X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.3.0.0']),
% 4.94/5.33 [weight('<2,0,0,[0,0,0,3]>')]).
% 4.94/5.33 cnf('0.3.2.0',plain,
% 4.94/5.33 ( mult(unit,X1) = X1 ),
% 4.94/5.33 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_3]).
% 4.94/5.33 cnf('0.4.0.0',axiom,
% 4.94/5.33 ( X1 = mult(f(X1),f(X1)) ),
% 4.94/5.33 file('/tmp/WALDMEISTER_4579_n020')).
% 4.94/5.33 cnf('0.4.1.0',plain,
% 4.94/5.33 ( X1 = mult(f(X1),f(X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.4.0.0']),
% 4.94/5.33 [weight('<3,0,0,[0,0,0,4]>')]).
% 4.94/5.33 cnf('0.4.2.0',plain,
% 4.94/5.33 ( mult(f(X1),f(X1)) = X1 ),
% 4.94/5.33 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_4]).
% 4.94/5.33 cnf('0.5.0.0',axiom,
% 4.94/5.33 ( X1 = mult(rd(X1,X2),X2) ),
% 4.94/5.33 file('/tmp/WALDMEISTER_4579_n020')).
% 4.94/5.33 cnf('0.5.1.0',plain,
% 4.94/5.33 ( X1 = mult(rd(X1,X2),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.5.0.0']),
% 4.94/5.33 [weight('<4,0,0,[0,0,0,5]>')]).
% 4.94/5.33 cnf('0.5.2.0',plain,
% 4.94/5.33 ( mult(rd(X1,X2),X2) = X1 ),
% 4.94/5.33 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_5]).
% 4.94/5.33 cnf('0.6.0.0',axiom,
% 4.94/5.33 ( X1 = rd(mult(X1,X2),X2) ),
% 4.94/5.33 file('/tmp/WALDMEISTER_4579_n020')).
% 4.94/5.33 cnf('0.6.1.0',plain,
% 4.94/5.33 ( X1 = rd(mult(X1,X2),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.6.0.0']),
% 4.94/5.33 [weight('<5,0,0,[0,0,0,6]>')]).
% 4.94/5.33 cnf('0.6.2.0',plain,
% 4.94/5.33 ( rd(mult(X1,X2),X2) = X1 ),
% 4.94/5.33 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_6]).
% 4.94/5.33 cnf('0.7.0.0',axiom,
% 4.94/5.33 ( X1 = ld(X2,mult(X2,X1)) ),
% 4.94/5.33 file('/tmp/WALDMEISTER_4579_n020')).
% 4.94/5.33 cnf('0.7.1.0',plain,
% 4.94/5.33 ( X1 = ld(X2,mult(X2,X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.7.0.0']),
% 4.94/5.33 [weight('<6,0,0,[0,0,0,7]>')]).
% 4.94/5.33 cnf('0.7.2.0',plain,
% 4.94/5.33 ( ld(X1,mult(X1,X2)) = X2 ),
% 4.94/5.33 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_7]).
% 4.94/5.33 cnf('0.8.0.0',axiom,
% 4.94/5.33 ( mult(X1,mult(X2,X1)) = mult(mult(X1,X2),X1) ),
% 4.94/5.33 file('/tmp/WALDMEISTER_4579_n020')).
% 4.94/5.33 cnf('0.8.1.0',plain,
% 4.94/5.33 ( mult(X1,mult(X2,X1)) = mult(mult(X1,X2),X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.8.0.0']),
% 4.94/5.33 [weight('<7,0,0,[0,0,0,8]>')]).
% 4.94/5.33 cnf('0.8.2.0',plain,
% 4.94/5.33 ( mult(mult(X1,X2),X1) = mult(X1,mult(X2,X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_8]).
% 4.94/5.33 cnf('0.9.0.0',axiom,
% 4.94/5.33 ( mult(mult(X1,X2),mult(mult(X3,X2),X3)) = mult(mult(X1,mult(mult(X2,X3),X2)),X3) ),
% 4.94/5.33 file('/tmp/WALDMEISTER_4579_n020')).
% 4.94/5.33 cnf('0.9.1.0',plain,
% 4.94/5.33 ( mult(mult(X1,X2),mult(mult(X3,X2),X3)) = mult(mult(X1,mult(mult(X2,X3),X2)),X3) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.9.0.0']),
% 4.94/5.33 [weight('<8,0,0,[0,0,0,9]>')]).
% 4.94/5.33 cnf('0.9.1.1',plain,
% 4.94/5.33 ( mult(mult(X1,X2),mult(X3,mult(X2,X3))) = mult(mult(X1,mult(mult(X2,X3),X2)),X3) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.9.1.0','0.8.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.9.1.2',plain,
% 4.94/5.33 ( mult(mult(X1,X2),mult(X3,mult(X2,X3))) = mult(mult(X1,mult(X2,mult(X3,X2))),X3) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.9.1.1','0.8.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.1.2','L')]).
% 4.94/5.33 cnf('0.9.2.0',plain,
% 4.94/5.33 ( mult(mult(X1,mult(X2,mult(X3,X2))),X3) = mult(mult(X1,X2),mult(X3,mult(X2,X3))) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.9.1.2',theory(equality)]),
% 4.94/5.33 [x,rule_9]).
% 4.94/5.33 cnf('0.10.0.0',plain,
% 4.94/5.33 ( ld(unit,X1) = X1 ),
% 4.94/5.33 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.10.1.0',plain,
% 4.94/5.33 ( ld(unit,X1) = X1 ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.10.0.0']),
% 4.94/5.33 [weight('<19,3,1,[1,0,0,0]>')]).
% 4.94/5.33 cnf('0.10.2.0',plain,
% 4.94/5.33 ( ld(unit,X1) = X1 ),
% 4.94/5.33 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_10]).
% 4.94/5.33 cnf('0.11.0.0',plain,
% 4.94/5.33 ( X1 = rd(X1,unit) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.11.1.0',plain,
% 4.94/5.33 ( X1 = rd(X1,unit) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.11.0.0']),
% 4.94/5.33 [weight('<19,5,2,[1,0,0,0]>')]).
% 4.94/5.33 cnf('0.11.2.0',plain,
% 4.94/5.33 ( rd(X1,unit) = X1 ),
% 4.94/5.33 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_11]).
% 4.94/5.33 cnf('0.13.0.0',plain,
% 4.94/5.33 ( unit = ld(X1,X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.13.1.0',plain,
% 4.94/5.33 ( unit = ld(X1,X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.13.0.0']),
% 4.94/5.33 [weight('<19,7,2,[1,0,0,2]>')]).
% 4.94/5.33 cnf('0.13.2.0',plain,
% 4.94/5.33 ( ld(X1,X1) = unit ),
% 4.94/5.33 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_13]).
% 4.94/5.33 cnf('0.14.0.0',plain,
% 4.94/5.33 ( f(X1) = rd(X1,f(X1)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.14.1.0',plain,
% 4.94/5.33 ( f(X1) = rd(X1,f(X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.14.0.0']),
% 4.94/5.33 [weight('<34,6,4,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.14.2.0',plain,
% 4.94/5.33 ( rd(X1,f(X1)) = f(X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_14]).
% 4.94/5.33 cnf('0.15.0.0',plain,
% 4.94/5.33 ( f(X1) = ld(f(X1),X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.7.2.0','0.4.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.15.1.0',plain,
% 4.94/5.33 ( f(X1) = ld(f(X1),X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.15.0.0']),
% 4.94/5.33 [weight('<34,7,4,[1,0,0,2]>')]).
% 4.94/5.33 cnf('0.15.2.0',plain,
% 4.94/5.33 ( ld(f(X1),X1) = f(X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_15]).
% 4.94/5.33 cnf('0.16.0.0',plain,
% 4.94/5.33 ( X1 = rd(X2,ld(X1,X2)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.16.1.0',plain,
% 4.94/5.33 ( X1 = rd(X2,ld(X1,X2)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.16.0.0']),
% 4.94/5.33 [weight('<41,6,1,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.16.2.0',plain,
% 4.94/5.33 ( rd(X1,ld(X2,X1)) = X2 ),
% 4.94/5.33 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_16]).
% 4.94/5.33 cnf('0.17.0.0',plain,
% 4.94/5.33 ( X1 = ld(rd(X2,X1),X2) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.17.1.0',plain,
% 4.94/5.33 ( X1 = ld(rd(X2,X1),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.17.0.0']),
% 4.94/5.33 [weight('<41,7,5,[1,0,0,2]>')]).
% 4.94/5.33 cnf('0.17.2.0',plain,
% 4.94/5.33 ( ld(rd(X1,X2),X1) = X2 ),
% 4.94/5.33 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_17]).
% 4.94/5.33 cnf('0.18.0.0',plain,
% 4.94/5.33 ( mult(f(X1),mult(f(X1),f(X1))) = mult(X1,f(X1)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.8.2.0','0.4.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.18.0.1',plain,
% 4.94/5.33 ( mult(f(X1),X1) = mult(X1,f(X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.18.0.0','0.4.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.18.1.0',plain,
% 4.94/5.33 ( mult(f(X1),X1) = mult(X1,f(X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.18.0.1']),
% 4.94/5.33 [weight('<44,8,4,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.18.2.0',plain,
% 4.94/5.33 ( mult(f(X1),X1) = mult(X1,f(X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_18]).
% 4.94/5.33 cnf('0.20.0.0',plain,
% 4.94/5.33 ( mult(mult(X1,X2),mult(unit,mult(X2,unit))) = mult(X1,mult(X2,mult(unit,X2))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.9.2.0','0.2.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.20.0.1',plain,
% 4.94/5.33 ( mult(mult(X1,X2),mult(X2,unit)) = mult(X1,mult(X2,mult(unit,X2))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.20.0.0','0.3.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.20.0.2',plain,
% 4.94/5.33 ( mult(mult(X1,X2),X2) = mult(X1,mult(X2,mult(unit,X2))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.20.0.1','0.2.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.20.0.3',plain,
% 4.94/5.33 ( mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.20.0.2','0.3.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2.2','L')]).
% 4.94/5.33 cnf('0.20.1.0',plain,
% 4.94/5.33 ( mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.20.0.3']),
% 4.94/5.33 [weight('<65,9,2,[1,0,0,0]>')]).
% 4.94/5.33 cnf('0.20.2.0',plain,
% 4.94/5.33 ( mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_20]).
% 4.94/5.33 cnf('0.21.0.0',plain,
% 4.94/5.33 ( X1 = ld(f(X1),mult(X1,f(X1))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.7.2.0','0.18.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.21.1.0',plain,
% 4.94/5.33 ( X1 = ld(f(X1),mult(X1,f(X1))) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.21.0.0']),
% 4.94/5.33 [weight('<71,18,7,[0,0,0,2]>')]).
% 4.94/5.33 cnf('0.21.2.0',plain,
% 4.94/5.33 ( ld(f(X1),mult(X1,f(X1))) = X1 ),
% 4.94/5.33 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_21]).
% 4.94/5.33 cnf('0.22.0.0',plain,
% 4.94/5.33 ( mult(X1,mult(ld(X1,X2),X1)) = mult(X2,X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.8.2.0','0.1.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.22.1.0',plain,
% 4.94/5.33 ( mult(X1,mult(ld(X1,X2),X1)) = mult(X2,X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.22.0.0']),
% 4.94/5.33 [weight('<87,8,1,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.22.2.0',plain,
% 4.94/5.33 ( mult(X1,mult(ld(X1,X2),X1)) = mult(X2,X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_22]).
% 4.94/5.33 cnf('0.23.0.0',plain,
% 4.94/5.33 ( mult(ld(X1,X2),X1) = ld(X1,mult(X2,X1)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.7.2.0','0.22.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.23.1.0',plain,
% 4.94/5.33 ( mult(ld(X1,X2),X1) = ld(X1,mult(X2,X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.23.0.0']),
% 4.94/5.33 [weight('<65,22,7,[0,0,0,2]>')]).
% 4.94/5.33 cnf('0.23.2.0',plain,
% 4.94/5.33 ( mult(ld(X1,X2),X1) = ld(X1,mult(X2,X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_23]).
% 4.94/5.33 cnf('0.24.0.0',plain,
% 4.94/5.33 ( ld(f(X1),mult(mult(X1,f(X1)),f(X1))) = mult(X1,f(X1)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.23.2.0','0.21.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.24.0.1',plain,
% 4.94/5.33 ( ld(f(X1),mult(X1,mult(f(X1),f(X1)))) = mult(X1,f(X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.24.0.0','0.20.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.24.0.2',plain,
% 4.94/5.33 ( ld(f(X1),mult(X1,X1)) = mult(X1,f(X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.24.0.1','0.4.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2.2','L')]).
% 4.94/5.33 cnf('0.24.1.0',plain,
% 4.94/5.33 ( ld(f(X1),mult(X1,X1)) = mult(X1,f(X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.24.0.2']),
% 4.94/5.33 [weight('<76,23,21,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.24.2.0',plain,
% 4.94/5.33 ( ld(f(X1),mult(X1,X1)) = mult(X1,f(X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_24]).
% 4.94/5.33 cnf('0.26.0.0',plain,
% 4.94/5.33 ( mult(X1,X2) = rd(mult(X1,mult(X2,X1)),X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.6.2.0','0.8.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.26.1.0',plain,
% 4.94/5.33 ( mult(X1,X2) = rd(mult(X1,mult(X2,X1)),X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.26.0.0']),
% 4.94/5.33 [weight('<87,8,6,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.26.2.0',plain,
% 4.94/5.33 ( rd(mult(X1,mult(X2,X1)),X1) = mult(X1,X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_26]).
% 4.94/5.33 cnf('0.27.0.0',plain,
% 4.94/5.33 ( mult(X1,rd(X2,X1)) = rd(mult(X1,X2),X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.26.2.0','0.5.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.2','L')]).
% 4.94/5.33 cnf('0.27.1.0',plain,
% 4.94/5.33 ( mult(X1,rd(X2,X1)) = rd(mult(X1,X2),X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.27.0.0']),
% 4.94/5.33 [weight('<65,26,5,[1,0,0,3]>')]).
% 4.94/5.33 cnf('0.27.2.0',plain,
% 4.94/5.33 ( mult(X1,rd(X2,X1)) = rd(mult(X1,X2),X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_27]).
% 4.94/5.33 cnf('0.29.0.0',plain,
% 4.94/5.33 ( mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.20.2.0','0.5.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.29.1.0',plain,
% 4.94/5.33 ( mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.29.0.0']),
% 4.94/5.33 [weight('<87,20,5,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.29.2.0',plain,
% 4.94/5.33 ( mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_29]).
% 4.94/5.33 cnf('0.30.0.0',plain,
% 4.94/5.33 ( mult(X1,f(X2)) = mult(rd(X1,f(X2)),X2) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.29.2.0','0.4.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.30.1.0',plain,
% 4.94/5.33 ( mult(X1,f(X2)) = mult(rd(X1,f(X2)),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.30.0.0']),
% 4.94/5.33 [weight('<76,29,4,[1,0,0,4]>')]).
% 4.94/5.33 cnf('0.30.2.0',plain,
% 4.94/5.33 ( mult(rd(X1,f(X2)),X2) = mult(X1,f(X2)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_30]).
% 4.94/5.33 cnf('0.34.0.0',plain,
% 4.94/5.33 ( rd(X1,f(X2)) = rd(mult(X1,f(X2)),X2) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.6.2.0','0.30.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.34.1.0',plain,
% 4.94/5.33 ( rd(X1,f(X2)) = rd(mult(X1,f(X2)),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.34.0.0']),
% 4.94/5.33 [weight('<76,30,6,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.34.2.0',plain,
% 4.94/5.33 ( rd(mult(X1,f(X2)),X2) = rd(X1,f(X2)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_34]).
% 4.94/5.33 cnf('0.35.0.0',plain,
% 4.94/5.33 ( rd(unit,f(X1)) = rd(f(X1),X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.34.2.0','0.3.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.35.1.0',plain,
% 4.94/5.33 ( rd(unit,f(X1)) = rd(f(X1),X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.35.0.0']),
% 4.94/5.33 [weight('<44,34,3,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.35.2.0',plain,
% 4.94/5.33 ( rd(f(X1),X1) = rd(unit,f(X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_35]).
% 4.94/5.33 cnf('0.36.0.0',plain,
% 4.94/5.33 ( rd(mult(X1,f(X1)),X1) = mult(X1,rd(unit,f(X1))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.27.2.0','0.35.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.36.0.1',plain,
% 4.94/5.33 ( rd(X1,f(X1)) = mult(X1,rd(unit,f(X1))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.36.0.0','0.34.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.36.0.2',plain,
% 4.94/5.33 ( f(X1) = mult(X1,rd(unit,f(X1))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.36.0.1','0.14.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.36.1.0',plain,
% 4.94/5.33 ( f(X1) = mult(X1,rd(unit,f(X1))) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.36.0.2']),
% 4.94/5.33 [weight('<62,35,27,[0,0,0,2]>')]).
% 4.94/5.33 cnf('0.36.2.0',plain,
% 4.94/5.33 ( mult(X1,rd(unit,f(X1))) = f(X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_36]).
% 4.94/5.33 cnf('0.37.0.0',plain,
% 4.94/5.33 ( mult(rd(unit,f(X1)),X1) = rd(mult(rd(unit,f(X1)),f(X1)),rd(unit,f(X1))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.26.2.0','0.36.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.2','L')]).
% 4.94/5.33 cnf('0.37.0.1',plain,
% 4.94/5.33 ( mult(unit,f(X1)) = rd(mult(rd(unit,f(X1)),f(X1)),rd(unit,f(X1))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.37.0.0','0.30.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.37.0.2',plain,
% 4.94/5.33 ( f(X1) = rd(mult(rd(unit,f(X1)),f(X1)),rd(unit,f(X1))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.37.0.1','0.3.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.37.0.3',plain,
% 4.94/5.33 ( f(X1) = rd(unit,rd(unit,f(X1))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.37.0.2','0.5.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.1','L')]).
% 4.94/5.33 cnf('0.37.1.0',plain,
% 4.94/5.33 ( f(X1) = rd(unit,rd(unit,f(X1))) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.37.0.3']),
% 4.94/5.33 [weight('<62,36,26,[0,0,0,3]>')]).
% 4.94/5.33 cnf('0.37.2.0',plain,
% 4.94/5.33 ( rd(unit,rd(unit,f(X1))) = f(X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_37]).
% 4.94/5.33 cnf('0.38.0.0',plain,
% 4.94/5.33 ( rd(unit,f(X1)) = ld(f(X1),unit) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.17.2.0','0.37.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.38.1.0',plain,
% 4.94/5.33 ( rd(unit,f(X1)) = ld(f(X1),unit) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.38.0.0']),
% 4.94/5.33 [weight('<44,37,17,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.38.2.0',plain,
% 4.94/5.33 ( rd(unit,f(X1)) = ld(f(X1),unit) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_38]).
% 4.94/5.33 cnf('0.40.0.0',plain,
% 4.94/5.33 ( mult(X1,rd(unit,f(X1))) = f(X1) ),
% 4.94/5.33 inference(interreduction_right,[status(thm)],['0.36.2.0'])).
% 4.94/5.33 cnf('0.40.0.1',plain,
% 4.94/5.33 ( mult(X1,ld(f(X1),unit)) = f(X1) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.40.0.0','0.38.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.40.1.0',plain,
% 4.94/5.33 ( mult(X1,ld(f(X1),unit)) = f(X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.40.0.1']),
% 4.94/5.33 [weight('<62,36,38,[0,0,0,0]>')]).
% 4.94/5.33 cnf('0.40.2.0',plain,
% 4.94/5.33 ( mult(X1,ld(f(X1),unit)) = f(X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_40]).
% 4.94/5.33 cnf('0.42.0.0',plain,
% 4.94/5.33 ( mult(unit,f(X1)) = mult(ld(f(X1),unit),mult(f(X1),f(X1))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.29.2.0','0.38.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.42.0.1',plain,
% 4.94/5.33 ( f(X1) = mult(ld(f(X1),unit),mult(f(X1),f(X1))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.42.0.0','0.3.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.42.0.2',plain,
% 4.94/5.33 ( f(X1) = mult(ld(f(X1),unit),X1) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.42.0.1','0.4.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2','L')]).
% 4.94/5.33 cnf('0.42.1.0',plain,
% 4.94/5.33 ( f(X1) = mult(ld(f(X1),unit),X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.42.0.2']),
% 4.94/5.33 [weight('<62,38,29,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.42.2.0',plain,
% 4.94/5.33 ( mult(ld(f(X1),unit),X1) = f(X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_42]).
% 4.94/5.33 cnf('0.51.0.0',plain,
% 4.94/5.33 ( mult(X1,X2) = rd(mult(X1,mult(X2,X2)),X2) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.6.2.0','0.20.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.51.1.0',plain,
% 4.94/5.33 ( mult(X1,X2) = rd(mult(X1,mult(X2,X2)),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.51.0.0']),
% 4.94/5.33 [weight('<87,20,6,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.51.2.0',plain,
% 4.94/5.33 ( rd(mult(X1,mult(X2,X2)),X2) = mult(X1,X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_50]).
% 4.94/5.33 cnf('0.52.0.0',plain,
% 4.94/5.33 ( mult(X1,f(X2)) = rd(mult(X1,X2),f(X2)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.51.2.0','0.4.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.2','L')]).
% 4.94/5.33 cnf('0.52.1.0',plain,
% 4.94/5.33 ( mult(X1,f(X2)) = rd(mult(X1,X2),f(X2)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.52.0.0']),
% 4.94/5.33 [weight('<76,51,4,[1,0,0,3]>')]).
% 4.94/5.33 cnf('0.52.2.0',plain,
% 4.94/5.33 ( rd(mult(X1,X2),f(X2)) = mult(X1,f(X2)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_51]).
% 4.94/5.33 cnf('0.53.0.0',plain,
% 4.94/5.33 ( mult(rd(X1,X2),f(X2)) = rd(X1,f(X2)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.52.2.0','0.5.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.53.1.0',plain,
% 4.94/5.33 ( mult(rd(X1,X2),f(X2)) = rd(X1,f(X2)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.53.0.0']),
% 4.94/5.33 [weight('<76,52,5,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.53.2.0',plain,
% 4.94/5.33 ( mult(rd(X1,X2),f(X2)) = rd(X1,f(X2)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_52]).
% 4.94/5.33 cnf('0.54.0.0',plain,
% 4.94/5.33 ( ld(X1,X2) = rd(ld(X1,mult(X2,X1)),X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.6.2.0','0.23.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.54.1.0',plain,
% 4.94/5.33 ( ld(X1,X2) = rd(ld(X1,mult(X2,X1)),X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.54.0.0']),
% 4.94/5.33 [weight('<87,23,6,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.54.2.0',plain,
% 4.94/5.33 ( rd(ld(X1,mult(X2,X1)),X1) = ld(X1,X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_53]).
% 4.94/5.33 cnf('0.55.0.0',plain,
% 4.94/5.33 ( ld(X1,unit) = rd(ld(X1,X1),X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.54.2.0','0.3.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.2','L')]).
% 4.94/5.33 cnf('0.55.0.1',plain,
% 4.94/5.33 ( ld(X1,unit) = rd(unit,X1) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.55.0.0','0.13.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.1','L')]).
% 4.94/5.33 cnf('0.55.1.0',plain,
% 4.94/5.33 ( ld(X1,unit) = rd(unit,X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.55.0.1']),
% 4.94/5.33 [weight('<27,54,3,[1,0,0,3]>')]).
% 4.94/5.33 cnf('0.55.2.0',plain,
% 4.94/5.33 ( rd(unit,X1) = ld(X1,unit) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_54]).
% 4.94/5.33 cnf('0.56.0.0',plain,
% 4.94/5.33 ( ld(ld(X1,unit),unit) = X1 ),
% 4.94/5.33 inference(cp,[status(thm)],['0.55.2.0','0.16.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.56.1.0',plain,
% 4.94/5.33 ( ld(ld(X1,unit),unit) = X1 ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.56.0.0']),
% 4.94/5.33 [weight('<41,55,16,[1,0,0,0]>')]).
% 4.94/5.33 cnf('0.56.2.0',plain,
% 4.94/5.33 ( ld(ld(X1,unit),unit) = X1 ),
% 4.94/5.33 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_55]).
% 4.94/5.33 cnf('0.57.0.0',plain,
% 4.94/5.33 ( ld(X1,rd(X2,X1)) = rd(ld(X1,X2),X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.54.2.0','0.5.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.2','L')]).
% 4.94/5.33 cnf('0.57.1.0',plain,
% 4.94/5.33 ( ld(X1,rd(X2,X1)) = rd(ld(X1,X2),X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.57.0.0']),
% 4.94/5.33 [weight('<65,54,5,[1,0,0,3]>')]).
% 4.94/5.33 cnf('0.57.2.0',plain,
% 4.94/5.33 ( rd(ld(X1,X2),X1) = ld(X1,rd(X2,X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_56]).
% 4.94/5.33 cnf('0.58.0.0',plain,
% 4.94/5.33 ( ld(ld(X1,unit),rd(unit,ld(X1,unit))) = rd(X1,ld(X1,unit)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.57.2.0','0.56.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.58.0.1',plain,
% 4.94/5.33 ( ld(ld(X1,unit),ld(ld(X1,unit),unit)) = rd(X1,ld(X1,unit)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.58.0.0','0.55.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.58.0.2',plain,
% 4.94/5.33 ( ld(ld(X1,unit),X1) = rd(X1,ld(X1,unit)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.58.0.1','0.56.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.58.1.0',plain,
% 4.94/5.33 ( ld(ld(X1,unit),X1) = rd(X1,ld(X1,unit)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.58.0.2']),
% 4.94/5.33 [weight('<65,57,56,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.58.2.0',plain,
% 4.94/5.33 ( rd(X1,ld(X1,unit)) = ld(ld(X1,unit),X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_57]).
% 4.94/5.33 cnf('0.59.0.0',plain,
% 4.94/5.33 ( mult(unit,X1) = mult(ld(X1,unit),mult(X1,X1)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.29.2.0','0.55.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.59.0.1',plain,
% 4.94/5.33 ( X1 = mult(ld(X1,unit),mult(X1,X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.59.0.0','0.3.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.59.1.0',plain,
% 4.94/5.33 ( X1 = mult(ld(X1,unit),mult(X1,X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.59.0.1']),
% 4.94/5.33 [weight('<71,55,29,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.59.2.0',plain,
% 4.94/5.33 ( mult(ld(X1,unit),mult(X1,X1)) = X1 ),
% 4.94/5.33 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_58]).
% 4.94/5.33 cnf('0.61.0.0',plain,
% 4.94/5.33 ( mult(X1,X1) = ld(ld(X1,unit),X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.7.2.0','0.59.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.61.1.0',plain,
% 4.94/5.33 ( mult(X1,X1) = ld(ld(X1,unit),X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.61.0.0']),
% 4.94/5.33 [weight('<53,59,7,[0,0,0,2]>')]).
% 4.94/5.33 cnf('0.61.2.0',plain,
% 4.94/5.33 ( ld(ld(X1,unit),X1) = mult(X1,X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_60]).
% 4.94/5.33 cnf('0.62.0.0',plain,
% 4.94/5.33 ( rd(X1,ld(X1,unit)) = ld(ld(X1,unit),X1) ),
% 4.94/5.33 inference(interreduction_right,[status(thm)],['0.58.2.0'])).
% 4.94/5.33 cnf('0.62.0.1',plain,
% 4.94/5.33 ( rd(X1,ld(X1,unit)) = mult(X1,X1) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.62.0.0','0.61.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.62.1.0',plain,
% 4.94/5.33 ( rd(X1,ld(X1,unit)) = mult(X1,X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.62.0.1']),
% 4.94/5.33 [weight('<53,58,61,[0,0,0,0]>')]).
% 4.94/5.33 cnf('0.62.2.0',plain,
% 4.94/5.33 ( rd(X1,ld(X1,unit)) = mult(X1,X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_61]).
% 4.94/5.33 cnf('0.65.0.0',plain,
% 4.94/5.33 ( rd(unit,f(X1)) = mult(ld(X1,unit),f(X1)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.53.2.0','0.55.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.65.0.1',plain,
% 4.94/5.33 ( ld(f(X1),unit) = mult(ld(X1,unit),f(X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.65.0.0','0.55.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.65.1.0',plain,
% 4.94/5.33 ( ld(f(X1),unit) = mult(ld(X1,unit),f(X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.65.0.1']),
% 4.94/5.33 [weight('<76,55,53,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.65.2.0',plain,
% 4.94/5.33 ( mult(ld(X1,unit),f(X1)) = ld(f(X1),unit) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_64]).
% 4.94/5.33 cnf('0.66.0.0',plain,
% 4.94/5.33 ( mult(f(X1),ld(X1,unit)) = rd(mult(f(X1),ld(f(X1),unit)),f(X1)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.26.2.0','0.65.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.2','L')]).
% 4.94/5.33 cnf('0.66.0.1',plain,
% 4.94/5.33 ( mult(f(X1),ld(X1,unit)) = rd(unit,f(X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.66.0.0','0.1.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.1','L')]).
% 4.94/5.33 cnf('0.66.0.2',plain,
% 4.94/5.33 ( mult(f(X1),ld(X1,unit)) = ld(f(X1),unit) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.66.0.1','0.55.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.66.1.0',plain,
% 4.94/5.33 ( mult(f(X1),ld(X1,unit)) = ld(f(X1),unit) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.66.0.2']),
% 4.94/5.33 [weight('<76,65,26,[0,0,0,3]>')]).
% 4.94/5.33 cnf('0.66.2.0',plain,
% 4.94/5.33 ( mult(f(X1),ld(X1,unit)) = ld(f(X1),unit) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_65]).
% 4.94/5.33 cnf('0.67.0.0',plain,
% 4.94/5.33 ( mult(X1,X1) = mult(f(X1),mult(X1,f(X1))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1.2.0','0.24.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.67.1.0',plain,
% 4.94/5.33 ( mult(X1,X1) = mult(f(X1),mult(X1,f(X1))) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.67.0.0']),
% 4.94/5.33 [weight('<87,24,1,[0,0,0,2]>')]).
% 4.94/5.33 cnf('0.67.2.0',plain,
% 4.94/5.33 ( mult(f(X1),mult(X1,f(X1))) = mult(X1,X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_66]).
% 4.94/5.33 cnf('0.68.0.0',plain,
% 4.94/5.33 ( rd(X1,X2) = ld(X2,rd(mult(X2,X1),X2)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.7.2.0','0.27.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.68.1.0',plain,
% 4.94/5.33 ( rd(X1,X2) = ld(X2,rd(mult(X2,X1),X2)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.68.0.0']),
% 4.94/5.33 [weight('<87,27,7,[0,0,0,2]>')]).
% 4.94/5.33 cnf('0.68.2.0',plain,
% 4.94/5.33 ( ld(X1,rd(mult(X1,X2),X1)) = rd(X2,X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_67]).
% 4.94/5.33 cnf('0.70.0.0',plain,
% 4.94/5.33 ( rd(X1,X2) = rd(mult(X1,X2),mult(X2,X2)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.6.2.0','0.29.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.70.1.0',plain,
% 4.94/5.33 ( rd(X1,X2) = rd(mult(X1,X2),mult(X2,X2)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.70.0.0']),
% 4.94/5.33 [weight('<87,29,6,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.70.2.0',plain,
% 4.94/5.33 ( rd(mult(X1,X2),mult(X2,X2)) = rd(X1,X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_69]).
% 4.94/5.33 cnf('0.73.0.0',plain,
% 4.94/5.33 ( mult(X1,X1) = ld(rd(X2,X1),mult(X2,X1)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.7.2.0','0.29.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.73.1.0',plain,
% 4.94/5.33 ( mult(X1,X1) = ld(rd(X2,X1),mult(X2,X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.73.0.0']),
% 4.94/5.33 [weight('<87,29,7,[0,0,0,2]>')]).
% 4.94/5.33 cnf('0.73.2.0',plain,
% 4.94/5.33 ( ld(rd(X1,X2),mult(X1,X2)) = mult(X2,X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_72]).
% 4.94/5.33 cnf('0.76.0.0',plain,
% 4.94/5.33 ( ld(X1,unit) = rd(ld(f(X1),unit),f(X1)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.6.2.0','0.65.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.76.0.1',plain,
% 4.94/5.33 ( ld(X1,unit) = ld(f(X1),rd(unit,f(X1))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.76.0.0','0.57.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.76.0.2',plain,
% 4.94/5.33 ( ld(X1,unit) = ld(f(X1),ld(f(X1),unit)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.76.0.1','0.55.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2','L')]).
% 4.94/5.33 cnf('0.76.1.0',plain,
% 4.94/5.33 ( ld(X1,unit) = ld(f(X1),ld(f(X1),unit)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.76.0.2']),
% 4.94/5.33 [weight('<87,65,6,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.76.2.0',plain,
% 4.94/5.33 ( ld(f(X1),ld(f(X1),unit)) = ld(X1,unit) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_75]).
% 4.94/5.33 cnf('0.82.0.0',plain,
% 4.94/5.33 ( mult(mult(X1,mult(f(X2),f(X2))),f(X2)) = mult(mult(X1,f(X2)),X2) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.30.2.0','0.51.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.82.0.1',plain,
% 4.94/5.33 ( mult(mult(X1,X2),f(X2)) = mult(mult(X1,f(X2)),X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.82.0.0','0.4.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.2','L')]).
% 4.94/5.33 cnf('0.82.1.0',plain,
% 4.94/5.33 ( mult(mult(X1,X2),f(X2)) = mult(mult(X1,f(X2)),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.82.0.1']),
% 4.94/5.33 [weight('<90,51,30,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.82.2.0',plain,
% 4.94/5.33 ( mult(mult(X1,f(X2)),X2) = mult(mult(X1,X2),f(X2)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_81]).
% 4.94/5.33 cnf('0.90.0.0',plain,
% 4.94/5.33 ( rd(X1,ld(f(X1),unit)) = ld(ld(f(X1),unit),rd(f(X1),ld(f(X1),unit))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.68.2.0','0.42.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2.1','L')]).
% 4.94/5.33 cnf('0.90.0.1',plain,
% 4.94/5.33 ( rd(X1,ld(f(X1),unit)) = ld(ld(f(X1),unit),mult(f(X1),f(X1))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.90.0.0','0.62.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2','L')]).
% 4.94/5.33 cnf('0.90.0.2',plain,
% 4.94/5.33 ( rd(X1,ld(f(X1),unit)) = ld(ld(f(X1),unit),X1) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.90.0.1','0.4.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2','L')]).
% 4.94/5.33 cnf('0.90.1.0',plain,
% 4.94/5.33 ( rd(X1,ld(f(X1),unit)) = ld(ld(f(X1),unit),X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.90.0.2']),
% 4.94/5.33 [weight('<90,68,42,[1,0,0,3]>')]).
% 4.94/5.33 cnf('0.90.2.0',plain,
% 4.94/5.33 ( rd(X1,ld(f(X1),unit)) = ld(ld(f(X1),unit),X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_89]).
% 4.94/5.33 cnf('0.94.0.0',plain,
% 4.94/5.33 ( f(X1) = ld(mult(X2,f(X1)),mult(X2,X1)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.17.2.0','0.52.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.94.1.0',plain,
% 4.94/5.33 ( f(X1) = ld(mult(X2,f(X1)),mult(X2,X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.94.0.0']),
% 4.94/5.33 [weight('<98,52,17,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.94.2.0',plain,
% 4.94/5.33 ( ld(mult(X1,f(X2)),mult(X1,X2)) = f(X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_93]).
% 4.94/5.33 cnf('0.101.0.0',plain,
% 4.94/5.33 ( mult(rd(unit,X1),rd(unit,X1)) = ld(X1,rd(unit,X1)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.61.2.0','0.17.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.101.0.1',plain,
% 4.94/5.33 ( mult(ld(X1,unit),rd(unit,X1)) = ld(X1,rd(unit,X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.101.0.0','0.55.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.101.0.2',plain,
% 4.94/5.33 ( mult(ld(X1,unit),ld(X1,unit)) = ld(X1,rd(unit,X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.101.0.1','0.55.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.101.0.3',plain,
% 4.94/5.33 ( mult(ld(X1,unit),ld(X1,unit)) = ld(X1,ld(X1,unit)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.101.0.2','0.55.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2','L')]).
% 4.94/5.33 cnf('0.101.1.0',plain,
% 4.94/5.33 ( mult(ld(X1,unit),ld(X1,unit)) = ld(X1,ld(X1,unit)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.101.0.3']),
% 4.94/5.33 [weight('<103,61,17,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.101.2.0',plain,
% 4.94/5.33 ( mult(ld(X1,unit),ld(X1,unit)) = ld(X1,ld(X1,unit)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_100]).
% 4.94/5.33 cnf('0.107.0.0',plain,
% 4.94/5.33 ( mult(rd(X1,X2),mult(X2,rd(X1,X2))) = mult(X1,rd(X1,X2)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.8.2.0','0.5.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.107.1.0',plain,
% 4.94/5.33 ( mult(rd(X1,X2),mult(X2,rd(X1,X2))) = mult(X1,rd(X1,X2)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.107.0.0']),
% 4.94/5.33 [weight('<?,8,5,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.107.1.1',plain,
% 4.94/5.33 ( mult(rd(X1,X2),rd(mult(X2,X1),X2)) = mult(X1,rd(X1,X2)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.107.1.0','0.27.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.107.2.0',plain,
% 4.94/5.33 ( mult(rd(X1,X2),rd(mult(X2,X1),X2)) = mult(X1,rd(X1,X2)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.107.1.1',theory(equality)]),
% 4.94/5.33 [u,rule_106]).
% 4.94/5.33 cnf('0.108.0.0',plain,
% 4.94/5.33 ( X1 = ld(ld(X1,X2),ld(X1,mult(X2,X1))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.7.2.0','0.23.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.108.1.0',plain,
% 4.94/5.33 ( X1 = ld(ld(X1,X2),ld(X1,mult(X2,X1))) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.108.0.0']),
% 4.94/5.33 [weight('<109,23,7,[0,0,0,2]>')]).
% 4.94/5.33 cnf('0.108.2.0',plain,
% 4.94/5.33 ( ld(ld(X1,X2),ld(X1,mult(X2,X1))) = X1 ),
% 4.94/5.33 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_107]).
% 4.94/5.33 cnf('0.134.0.0',plain,
% 4.94/5.33 ( mult(mult(unit,X1),mult(X2,mult(X1,X2))) = mult(mult(X1,mult(X2,X1)),X2) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.134.0.1',plain,
% 4.94/5.33 ( mult(X1,mult(X2,mult(X1,X2))) = mult(mult(X1,mult(X2,X1)),X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.134.0.0','0.3.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.134.1.0',plain,
% 4.94/5.33 ( mult(X1,mult(X2,mult(X1,X2))) = mult(mult(X1,mult(X2,X1)),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.134.0.1']),
% 4.94/5.33 [weight('<119,9,3,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.134.2.0',plain,
% 4.94/5.33 ( mult(mult(X1,mult(X2,X1)),X2) = mult(X1,mult(X2,mult(X1,X2))) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.134.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_133]).
% 4.94/5.33 cnf('0.135.0.0',plain,
% 4.94/5.33 ( mult(ld(f(X1),unit),mult(X1,mult(ld(f(X1),unit),X1))) = mult(mult(ld(f(X1),unit),f(X1)),X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.134.2.0','0.40.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.2','L')]).
% 4.94/5.33 cnf('0.135.0.1',plain,
% 4.94/5.33 ( mult(ld(f(X1),unit),mult(X1,f(X1))) = mult(mult(ld(f(X1),unit),f(X1)),X1) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.135.0.0','0.42.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2.2','L')]).
% 4.94/5.33 cnf('0.135.0.2',plain,
% 4.94/5.33 ( mult(ld(f(X1),unit),mult(X1,f(X1))) = mult(mult(ld(f(X1),unit),X1),f(X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.135.0.1','0.82.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.135.0.3',plain,
% 4.94/5.33 ( mult(ld(f(X1),unit),mult(X1,f(X1))) = mult(f(X1),f(X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.135.0.2','0.42.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.1','L')]).
% 4.94/5.33 cnf('0.135.0.4',plain,
% 4.94/5.33 ( mult(ld(f(X1),unit),mult(X1,f(X1))) = X1 ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.135.0.3','0.4.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.135.1.0',plain,
% 4.94/5.33 ( mult(ld(f(X1),unit),mult(X1,f(X1))) = X1 ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.135.0.4']),
% 4.94/5.33 [weight('<109,134,40,[1,0,0,3]>')]).
% 4.94/5.33 cnf('0.135.2.0',plain,
% 4.94/5.33 ( mult(ld(f(X1),unit),mult(X1,f(X1))) = X1 ),
% 4.94/5.33 inference(orient,[status(thm)],['0.135.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_134]).
% 4.94/5.33 cnf('0.137.0.0',plain,
% 4.94/5.33 ( mult(X1,f(X1)) = ld(ld(f(X1),unit),X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.7.2.0','0.135.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.137.1.0',plain,
% 4.94/5.33 ( mult(X1,f(X1)) = ld(ld(f(X1),unit),X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.137.0.0']),
% 4.94/5.33 [weight('<76,135,7,[0,0,0,2]>')]).
% 4.94/5.33 cnf('0.137.2.0',plain,
% 4.94/5.33 ( ld(ld(f(X1),unit),X1) = mult(X1,f(X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.137.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_136]).
% 4.94/5.33 cnf('0.138.0.0',plain,
% 4.94/5.33 ( rd(X1,ld(f(X1),unit)) = ld(ld(f(X1),unit),X1) ),
% 4.94/5.33 inference(interreduction_right,[status(thm)],['0.90.2.0'])).
% 4.94/5.33 cnf('0.138.0.1',plain,
% 4.94/5.33 ( rd(X1,ld(f(X1),unit)) = mult(X1,f(X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.138.0.0','0.137.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.138.1.0',plain,
% 4.94/5.33 ( rd(X1,ld(f(X1),unit)) = mult(X1,f(X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.138.0.1']),
% 4.94/5.33 [weight('<76,90,137,[0,0,0,0]>')]).
% 4.94/5.33 cnf('0.138.2.0',plain,
% 4.94/5.33 ( rd(X1,ld(f(X1),unit)) = mult(X1,f(X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.138.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_137]).
% 4.94/5.33 cnf('0.142.0.0',plain,
% 4.94/5.33 ( mult(ld(f(X1),unit),ld(f(X1),unit)) = ld(mult(X1,f(X1)),mult(X1,ld(f(X1),unit))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.73.2.0','0.138.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.142.0.1',plain,
% 4.94/5.33 ( ld(f(X1),ld(f(X1),unit)) = ld(mult(X1,f(X1)),mult(X1,ld(f(X1),unit))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.142.0.0','0.101.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.142.0.2',plain,
% 4.94/5.33 ( ld(X1,unit) = ld(mult(X1,f(X1)),mult(X1,ld(f(X1),unit))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.142.0.1','0.76.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.142.0.3',plain,
% 4.94/5.33 ( ld(X1,unit) = ld(mult(X1,f(X1)),f(X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.142.0.2','0.40.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2','L')]).
% 4.94/5.33 cnf('0.142.1.0',plain,
% 4.94/5.33 ( ld(X1,unit) = ld(mult(X1,f(X1)),f(X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.142.0.3']),
% 4.94/5.33 [weight('<87,138,73,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.142.2.0',plain,
% 4.94/5.33 ( ld(mult(X1,f(X1)),f(X1)) = ld(X1,unit) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.142.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_141]).
% 4.94/5.33 cnf('0.144.0.0',plain,
% 4.94/5.33 ( mult(X1,f(X1)) = ld(ld(X1,unit),ld(mult(X1,f(X1)),mult(f(X1),mult(X1,f(X1))))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.108.2.0','0.142.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.144.0.1',plain,
% 4.94/5.33 ( mult(X1,f(X1)) = ld(ld(X1,unit),ld(mult(X1,f(X1)),mult(X1,X1))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.144.0.0','0.67.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2.2','L')]).
% 4.94/5.33 cnf('0.144.0.2',plain,
% 4.94/5.33 ( mult(X1,f(X1)) = ld(ld(X1,unit),f(X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.144.0.1','0.94.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2','L')]).
% 4.94/5.33 cnf('0.144.1.0',plain,
% 4.94/5.33 ( mult(X1,f(X1)) = ld(ld(X1,unit),f(X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.144.0.2']),
% 4.94/5.33 [weight('<76,142,108,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.144.2.0',plain,
% 4.94/5.33 ( ld(ld(X1,unit),f(X1)) = mult(X1,f(X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.144.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_143]).
% 4.94/5.33 cnf('0.158.0.0',plain,
% 4.94/5.33 ( mult(ld(X1,X2),mult(X1,X1)) = mult(ld(X1,mult(X2,X1)),X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.20.2.0','0.23.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.158.0.1',plain,
% 4.94/5.33 ( mult(ld(X1,X2),mult(X1,X1)) = ld(X1,mult(mult(X2,X1),X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.158.0.0','0.23.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.158.0.2',plain,
% 4.94/5.33 ( mult(ld(X1,X2),mult(X1,X1)) = ld(X1,mult(X2,mult(X1,X1))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.158.0.1','0.20.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2','L')]).
% 4.94/5.33 cnf('0.158.1.0',plain,
% 4.94/5.33 ( mult(ld(X1,X2),mult(X1,X1)) = ld(X1,mult(X2,mult(X1,X1))) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.158.0.2']),
% 4.94/5.33 [weight('<119,23,20,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.158.2.0',plain,
% 4.94/5.33 ( mult(ld(X1,X2),mult(X1,X1)) = ld(X1,mult(X2,mult(X1,X1))) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.158.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_157]).
% 4.94/5.33 cnf('0.159.0.0',plain,
% 4.94/5.33 ( ld(f(X1),mult(X2,mult(f(X1),f(X1)))) = mult(ld(f(X1),X2),X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.158.2.0','0.4.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.159.0.1',plain,
% 4.94/5.33 ( ld(f(X1),mult(X2,X1)) = mult(ld(f(X1),X2),X1) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.159.0.0','0.4.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2.2','L')]).
% 4.94/5.33 cnf('0.159.1.0',plain,
% 4.94/5.33 ( ld(f(X1),mult(X2,X1)) = mult(ld(f(X1),X2),X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.159.0.1']),
% 4.94/5.33 [weight('<90,158,4,[1,0,0,4]>')]).
% 4.94/5.33 cnf('0.159.2.0',plain,
% 4.94/5.33 ( mult(ld(f(X1),X2),X1) = ld(f(X1),mult(X2,X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_158]).
% 4.94/5.33 cnf('0.179.0.0',plain,
% 4.94/5.33 ( mult(ld(X1,X2),mult(X1,mult(ld(X1,X2),X1))) = mult(mult(ld(X1,X2),X2),X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.134.2.0','0.1.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.2','L')]).
% 4.94/5.33 cnf('0.179.0.1',plain,
% 4.94/5.33 ( mult(ld(X1,X2),mult(X1,ld(X1,mult(X2,X1)))) = mult(mult(ld(X1,X2),X2),X1) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.179.0.0','0.23.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2.2','L')]).
% 4.94/5.33 cnf('0.179.0.2',plain,
% 4.94/5.33 ( mult(ld(X1,X2),mult(X2,X1)) = mult(mult(ld(X1,X2),X2),X1) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.179.0.1','0.1.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.179.1.0',plain,
% 4.94/5.33 ( mult(ld(X1,X2),mult(X2,X1)) = mult(mult(ld(X1,X2),X2),X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.179.0.2']),
% 4.94/5.33 [weight('<119,134,1,[1,0,0,3]>')]).
% 4.94/5.33 cnf('0.179.2.0',plain,
% 4.94/5.33 ( mult(mult(ld(X1,X2),X2),X1) = mult(ld(X1,X2),mult(X2,X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.179.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_178]).
% 4.94/5.33 cnf('0.181.0.0',plain,
% 4.94/5.33 ( mult(X1,mult(ld(X1,X2),mult(X1,ld(X1,X2)))) = mult(mult(X1,ld(X1,mult(X2,X1))),ld(X1,X2)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.134.2.0','0.23.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.2','L')]).
% 4.94/5.33 cnf('0.181.0.1',plain,
% 4.94/5.33 ( mult(X1,mult(ld(X1,X2),X2)) = mult(mult(X1,ld(X1,mult(X2,X1))),ld(X1,X2)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.181.0.0','0.1.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2.2','L')]).
% 4.94/5.33 cnf('0.181.0.2',plain,
% 4.94/5.33 ( mult(X1,mult(ld(X1,X2),X2)) = mult(mult(X2,X1),ld(X1,X2)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.181.0.1','0.1.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.1','L')]).
% 4.94/5.33 cnf('0.181.1.0',plain,
% 4.94/5.33 ( mult(X1,mult(ld(X1,X2),X2)) = mult(mult(X2,X1),ld(X1,X2)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.181.0.2']),
% 4.94/5.33 [weight('<119,134,23,[1,0,0,3]>')]).
% 4.94/5.33 cnf('0.181.2.0',plain,
% 4.94/5.33 ( mult(mult(X1,X2),ld(X2,X1)) = mult(X2,mult(ld(X2,X1),X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.181.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_180]).
% 4.94/5.33 cnf('0.182.0.0',plain,
% 4.94/5.33 ( mult(rd(X1,X2),mult(X2,mult(rd(X1,X2),X2))) = mult(mult(rd(X1,X2),rd(mult(X2,X1),X2)),X2) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.134.2.0','0.27.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.2','L')]).
% 4.94/5.33 cnf('0.182.0.1',plain,
% 4.94/5.33 ( mult(rd(X1,X2),mult(X2,X1)) = mult(mult(rd(X1,X2),rd(mult(X2,X1),X2)),X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.182.0.0','0.5.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2.2','L')]).
% 4.94/5.33 cnf('0.182.0.2',plain,
% 4.94/5.33 ( mult(rd(X1,X2),mult(X2,X1)) = mult(mult(X1,rd(X1,X2)),X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.182.0.1','0.107.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.1','L')]).
% 4.94/5.33 cnf('0.182.1.0',plain,
% 4.94/5.33 ( mult(rd(X1,X2),mult(X2,X1)) = mult(mult(X1,rd(X1,X2)),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.182.0.2']),
% 4.94/5.33 [weight('<119,134,27,[1,0,0,3]>')]).
% 4.94/5.33 cnf('0.182.2.0',plain,
% 4.94/5.33 ( mult(mult(X1,rd(X1,X2)),X2) = mult(rd(X1,X2),mult(X2,X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.182.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_181]).
% 4.94/5.33 cnf('0.309.0.0',plain,
% 4.94/5.33 ( mult(mult(X1,ld(X2,X3)),mult(X2,mult(ld(X2,X3),X2))) = mult(mult(X1,mult(ld(X2,X3),X3)),X2) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.9.2.0','0.1.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.2.2','L')]).
% 4.94/5.33 cnf('0.309.1.0',plain,
% 4.94/5.33 ( mult(mult(X1,ld(X2,X3)),mult(X2,mult(ld(X2,X3),X2))) = mult(mult(X1,mult(ld(X2,X3),X3)),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.309.0.0']),
% 4.94/5.33 [weight('<?,9,1,[1,0,0,5]>')]).
% 4.94/5.33 cnf('0.309.1.1',plain,
% 4.94/5.33 ( mult(mult(X1,ld(X2,X3)),mult(X2,ld(X2,mult(X3,X2)))) = mult(mult(X1,mult(ld(X2,X3),X3)),X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.309.1.0','0.23.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2.2','L')]).
% 4.94/5.33 cnf('0.309.1.2',plain,
% 4.94/5.33 ( mult(mult(X1,ld(X2,X3)),mult(X3,X2)) = mult(mult(X1,mult(ld(X2,X3),X3)),X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.309.1.1','0.1.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.309.2.0',plain,
% 4.94/5.33 ( mult(mult(X1,mult(ld(X2,X3),X3)),X2) = mult(mult(X1,ld(X2,X3)),mult(X3,X2)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.309.1.2',theory(equality)]),
% 4.94/5.33 [x,rule_308]).
% 4.94/5.33 cnf('0.379.0.0',plain,
% 4.94/5.33 ( mult(mult(X1,ld(X1,X2)),mult(X2,X1)) = mult(X1,mult(mult(ld(X1,X2),X2),X1)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.309.2.0','0.8.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.379.0.1',plain,
% 4.94/5.33 ( mult(X2,mult(X2,X1)) = mult(X1,mult(mult(ld(X1,X2),X2),X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.379.0.0','0.1.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.379.0.2',plain,
% 4.94/5.33 ( mult(X2,mult(X2,X1)) = mult(X1,mult(ld(X1,X2),mult(X2,X1))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.379.0.1','0.179.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2','L')]).
% 4.94/5.33 cnf('0.379.1.0',plain,
% 4.94/5.33 ( mult(X2,mult(X2,X1)) = mult(X1,mult(ld(X1,X2),mult(X2,X1))) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.379.0.2']),
% 4.94/5.33 [weight('<149,309,8,[1,0,0,0]>')]).
% 4.94/5.33 cnf('0.379.2.0',plain,
% 4.94/5.33 ( mult(X1,mult(ld(X1,X2),mult(X2,X1))) = mult(X2,mult(X2,X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.379.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_378]).
% 4.94/5.33 cnf('0.380.0.0',plain,
% 4.94/5.33 ( mult(ld(X1,X2),mult(X2,X1)) = ld(X1,mult(X2,mult(X2,X1))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.7.2.0','0.379.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.380.1.0',plain,
% 4.94/5.33 ( mult(ld(X1,X2),mult(X2,X1)) = ld(X1,mult(X2,mult(X2,X1))) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.380.0.0']),
% 4.94/5.33 [weight('<119,379,7,[0,0,0,2]>')]).
% 4.94/5.33 cnf('0.380.2.0',plain,
% 4.94/5.33 ( mult(ld(X1,X2),mult(X2,X1)) = ld(X1,mult(X2,mult(X2,X1))) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.380.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_379]).
% 4.94/5.33 cnf('0.381.0.0',plain,
% 4.94/5.33 ( mult(mult(ld(X1,X2),X2),X1) = mult(ld(X1,X2),mult(X2,X1)) ),
% 4.94/5.33 inference(interreduction_right,[status(thm)],['0.179.2.0'])).
% 4.94/5.33 cnf('0.381.0.1',plain,
% 4.94/5.33 ( mult(mult(ld(X1,X2),X2),X1) = ld(X1,mult(X2,mult(X2,X1))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.381.0.0','0.380.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.381.1.0',plain,
% 4.94/5.33 ( mult(mult(ld(X1,X2),X2),X1) = ld(X1,mult(X2,mult(X2,X1))) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.381.0.1']),
% 4.94/5.33 [weight('<119,179,380,[0,0,0,0]>')]).
% 4.94/5.33 cnf('0.381.2.0',plain,
% 4.94/5.33 ( mult(mult(ld(X1,X2),X2),X1) = ld(X1,mult(X2,mult(X2,X1))) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.381.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_380]).
% 4.94/5.33 cnf('0.385.0.0',plain,
% 4.94/5.33 ( mult(X1,mult(ld(X1,X2),X2)) = rd(mult(X1,ld(X1,mult(X2,mult(X2,X1)))),X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.26.2.0','0.381.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.2','L')]).
% 4.94/5.33 cnf('0.385.0.1',plain,
% 4.94/5.33 ( mult(X1,mult(ld(X1,X2),X2)) = rd(mult(X2,mult(X2,X1)),X1) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.385.0.0','0.1.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.1','L')]).
% 4.94/5.33 cnf('0.385.1.0',plain,
% 4.94/5.33 ( mult(X1,mult(ld(X1,X2),X2)) = rd(mult(X2,mult(X2,X1)),X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.385.0.1']),
% 4.94/5.33 [weight('<119,381,26,[0,0,0,3]>')]).
% 4.94/5.33 cnf('0.385.2.0',plain,
% 4.94/5.33 ( mult(X1,mult(ld(X1,X2),X2)) = rd(mult(X2,mult(X2,X1)),X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.385.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_384]).
% 4.94/5.33 cnf('0.386.0.0',plain,
% 4.94/5.33 ( mult(mult(X1,X2),ld(X2,X1)) = mult(X2,mult(ld(X2,X1),X1)) ),
% 4.94/5.33 inference(interreduction_right,[status(thm)],['0.181.2.0'])).
% 4.94/5.33 cnf('0.386.0.1',plain,
% 4.94/5.33 ( mult(mult(X1,X2),ld(X2,X1)) = rd(mult(X1,mult(X1,X2)),X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.386.0.0','0.385.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.386.1.0',plain,
% 4.94/5.33 ( mult(mult(X1,X2),ld(X2,X1)) = rd(mult(X1,mult(X1,X2)),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.386.0.1']),
% 4.94/5.33 [weight('<119,181,385,[0,0,0,0]>')]).
% 4.94/5.33 cnf('0.386.2.0',plain,
% 4.94/5.33 ( mult(mult(X1,X2),ld(X2,X1)) = rd(mult(X1,mult(X1,X2)),X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.386.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_385]).
% 4.94/5.33 cnf('0.511.0.0',plain,
% 4.94/5.33 ( mult(mult(rd(X1,mult(X2,mult(X3,X2))),X2),mult(X3,mult(X2,X3))) = mult(X1,X3) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.9.2.0','0.5.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.511.1.0',plain,
% 4.94/5.33 ( mult(mult(rd(X1,mult(X2,mult(X3,X2))),X2),mult(X3,mult(X2,X3))) = mult(X1,X3) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.511.0.0']),
% 4.94/5.33 [weight('<?,9,5,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.511.2.0',plain,
% 4.94/5.33 ( mult(mult(rd(X1,mult(X2,mult(X3,X2))),X2),mult(X3,mult(X2,X3))) = mult(X1,X3) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.511.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_510]).
% 4.94/5.33 cnf('0.839.0.0',plain,
% 4.94/5.33 ( ld(X1,X2) = ld(mult(X2,X1),rd(mult(X2,mult(X2,X1)),X1)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.7.2.0','0.386.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.839.1.0',plain,
% 4.94/5.33 ( ld(X1,X2) = ld(mult(X2,X1),rd(mult(X2,mult(X2,X1)),X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.839.0.0']),
% 4.94/5.33 [weight('<179,386,7,[0,0,0,2]>')]).
% 4.94/5.33 cnf('0.839.2.0',plain,
% 4.94/5.33 ( ld(mult(X1,X2),rd(mult(X1,mult(X1,X2)),X2)) = ld(X2,X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.839.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_837]).
% 4.94/5.33 cnf('0.845.0.0',plain,
% 4.94/5.33 ( mult(X1,X2) = mult(mult(rd(X1,mult(ld(f(X2),unit),f(X2))),ld(f(X2),unit)),mult(X2,mult(ld(f(X2),unit),X2))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.511.2.0','0.40.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.1.2.2','L')]).
% 4.94/5.33 cnf('0.845.0.1',plain,
% 4.94/5.33 ( mult(X1,X2) = mult(mult(rd(X1,ld(f(X2),mult(unit,f(X2)))),ld(f(X2),unit)),mult(X2,mult(ld(f(X2),unit),X2))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.845.0.0','0.23.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.1.1.2','L')]).
% 4.94/5.33 cnf('0.845.0.2',plain,
% 4.94/5.33 ( mult(X1,X2) = mult(mult(rd(X1,ld(f(X2),f(X2))),ld(f(X2),unit)),mult(X2,mult(ld(f(X2),unit),X2))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.845.0.1','0.3.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.1.1.2.2','L')]).
% 4.94/5.33 cnf('0.845.0.3',plain,
% 4.94/5.33 ( mult(X1,X2) = mult(mult(rd(X1,unit),ld(f(X2),unit)),mult(X2,mult(ld(f(X2),unit),X2))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.845.0.2','0.13.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.1.1.2','L')]).
% 4.94/5.33 cnf('0.845.0.4',plain,
% 4.94/5.33 ( mult(X1,X2) = mult(mult(X1,ld(f(X2),unit)),mult(X2,mult(ld(f(X2),unit),X2))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.845.0.3','0.11.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.1.1','L')]).
% 4.94/5.33 cnf('0.845.0.5',plain,
% 4.94/5.33 ( mult(X1,X2) = mult(mult(X1,ld(f(X2),unit)),mult(X2,ld(f(X2),mult(unit,X2)))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.845.0.4','0.159.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2.2','L')]).
% 4.94/5.33 cnf('0.845.0.6',plain,
% 4.94/5.33 ( mult(X1,X2) = mult(mult(X1,ld(f(X2),unit)),mult(X2,ld(f(X2),X2))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.845.0.5','0.3.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2.2.2','L')]).
% 4.94/5.33 cnf('0.845.0.7',plain,
% 4.94/5.33 ( mult(X1,X2) = mult(mult(X1,ld(f(X2),unit)),mult(X2,f(X2))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.845.0.6','0.15.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2.2','L')]).
% 4.94/5.33 cnf('0.845.1.0',plain,
% 4.94/5.33 ( mult(X1,X2) = mult(mult(X1,ld(f(X2),unit)),mult(X2,f(X2))) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.845.0.7']),
% 4.94/5.33 [weight('<179,511,40,[1,0,0,6]>')]).
% 4.94/5.33 cnf('0.845.2.0',plain,
% 4.94/5.33 ( mult(mult(X1,ld(f(X2),unit)),mult(X2,f(X2))) = mult(X1,X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.845.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_843]).
% 4.94/5.33 cnf('0.1013.0.0',plain,
% 4.94/5.33 ( mult(mult(X1,X2),mult(ld(X2,X3),mult(X2,ld(X2,X3)))) = mult(mult(X1,mult(X2,ld(X2,mult(X3,X2)))),ld(X2,X3)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.9.2.0','0.23.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.2.2','L')]).
% 4.94/5.33 cnf('0.1013.0.1',plain,
% 4.94/5.33 ( mult(mult(X1,X2),mult(ld(X2,X3),X3)) = mult(mult(X1,mult(X2,ld(X2,mult(X3,X2)))),ld(X2,X3)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1013.0.0','0.1.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2.2','L')]).
% 4.94/5.33 cnf('0.1013.0.2',plain,
% 4.94/5.33 ( mult(mult(X1,X2),mult(ld(X2,X3),X3)) = mult(mult(X1,mult(X3,X2)),ld(X2,X3)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1013.0.1','0.1.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.1.2','L')]).
% 4.94/5.33 cnf('0.1013.1.0',plain,
% 4.94/5.33 ( mult(mult(X1,X2),mult(ld(X2,X3),X3)) = mult(mult(X1,mult(X3,X2)),ld(X2,X3)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1013.0.2']),
% 4.94/5.33 [weight('<189,23,9,[0,0,0,5]>')]).
% 4.94/5.33 cnf('0.1013.2.0',plain,
% 4.94/5.33 ( mult(mult(X1,mult(X2,X3)),ld(X3,X2)) = mult(mult(X1,X3),mult(ld(X3,X2),X2)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1013.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_1011]).
% 4.94/5.33 cnf('0.1014.0.0',plain,
% 4.94/5.33 ( mult(mult(X1,ld(X2,unit)),mult(ld(ld(X2,unit),f(X2)),f(X2))) = mult(mult(X1,ld(f(X2),unit)),ld(ld(X2,unit),f(X2))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1013.2.0','0.66.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.2','L')]).
% 4.94/5.33 cnf('0.1014.0.1',plain,
% 4.94/5.33 ( mult(mult(X1,ld(X2,unit)),mult(mult(X2,f(X2)),f(X2))) = mult(mult(X1,ld(f(X2),unit)),ld(ld(X2,unit),f(X2))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1014.0.0','0.144.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2.1','L')]).
% 4.94/5.33 cnf('0.1014.0.2',plain,
% 4.94/5.33 ( mult(mult(X1,ld(X2,unit)),mult(X2,mult(f(X2),f(X2)))) = mult(mult(X1,ld(f(X2),unit)),ld(ld(X2,unit),f(X2))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1014.0.1','0.20.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.1014.0.3',plain,
% 4.94/5.33 ( mult(mult(X1,ld(X2,unit)),mult(X2,X2)) = mult(mult(X1,ld(f(X2),unit)),ld(ld(X2,unit),f(X2))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1014.0.2','0.4.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2.2','L')]).
% 4.94/5.33 cnf('0.1014.0.4',plain,
% 4.94/5.33 ( mult(mult(X1,ld(X2,unit)),mult(X2,X2)) = mult(mult(X1,ld(f(X2),unit)),mult(X2,f(X2))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1014.0.3','0.144.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2','L')]).
% 4.94/5.33 cnf('0.1014.0.5',plain,
% 4.94/5.33 ( mult(mult(X1,ld(X2,unit)),mult(X2,X2)) = mult(X1,X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1014.0.4','0.845.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.1014.1.0',plain,
% 4.94/5.33 ( mult(mult(X1,ld(X2,unit)),mult(X2,X2)) = mult(X1,X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1014.0.5']),
% 4.94/5.33 [weight('<129,1013,66,[1,0,0,3]>')]).
% 4.94/5.33 cnf('0.1014.2.0',plain,
% 4.94/5.33 ( mult(mult(X1,ld(X2,unit)),mult(X2,X2)) = mult(X1,X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1014.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_1012]).
% 4.94/5.33 cnf('0.1015.0.0',plain,
% 4.94/5.33 ( mult(X1,ld(X2,unit)) = rd(mult(X1,X2),mult(X2,X2)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.6.2.0','0.1014.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.1015.0.1',plain,
% 4.94/5.33 ( mult(X1,ld(X2,unit)) = rd(X1,X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1015.0.0','0.70.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.1015.1.0',plain,
% 4.94/5.33 ( mult(X1,ld(X2,unit)) = rd(X1,X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1015.0.1']),
% 4.94/5.33 [weight('<53,1014,6,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.1015.2.0',plain,
% 4.94/5.33 ( mult(X1,ld(X2,unit)) = rd(X1,X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1015.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_1013]).
% 4.94/5.33 cnf('0.1017.0.0',plain,
% 4.94/5.33 ( ld(X1,unit) = ld(X2,rd(X2,X1)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.7.2.0','0.1015.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.1017.1.0',plain,
% 4.94/5.33 ( ld(X1,unit) = ld(X2,rd(X2,X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1017.0.0']),
% 4.94/5.33 [weight('<53,1015,7,[0,0,0,2]>')]).
% 4.94/5.33 cnf('0.1017.2.0',plain,
% 4.94/5.33 ( ld(X1,rd(X1,X2)) = ld(X2,unit) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1017.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_1015]).
% 4.94/5.33 cnf('0.1018.0.0',plain,
% 4.94/5.33 ( rd(X1,rd(unit,X2)) = mult(X1,X2) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1015.2.0','0.17.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.1018.0.1',plain,
% 4.94/5.33 ( rd(X1,ld(X2,unit)) = mult(X1,X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1018.0.0','0.55.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.1018.1.0',plain,
% 4.94/5.33 ( rd(X1,ld(X2,unit)) = mult(X1,X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1018.0.1']),
% 4.94/5.33 [weight('<53,1015,17,[1,0,0,2]>')]).
% 4.94/5.33 cnf('0.1018.2.0',plain,
% 4.94/5.33 ( rd(X1,ld(X2,unit)) = mult(X1,X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1018.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_1016]).
% 4.94/5.33 cnf('0.1019.0.0',plain,
% 4.94/5.33 ( ld(X1,unit) = ld(mult(X2,X1),X2) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1017.2.0','0.6.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.1019.1.0',plain,
% 4.94/5.33 ( ld(X1,unit) = ld(mult(X2,X1),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1019.0.0']),
% 4.94/5.33 [weight('<53,1017,6,[1,0,0,2]>')]).
% 4.94/5.33 cnf('0.1019.2.0',plain,
% 4.94/5.33 ( ld(mult(X1,X2),X1) = ld(X2,unit) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1019.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_1017]).
% 4.94/5.33 cnf('0.1020.0.0',plain,
% 4.94/5.33 ( ld(ld(X1,X2),unit) = ld(X2,X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1017.2.0','0.16.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.1020.1.0',plain,
% 4.94/5.33 ( ld(ld(X1,X2),unit) = ld(X2,X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1020.0.0']),
% 4.94/5.33 [weight('<53,1017,16,[1,0,0,2]>')]).
% 4.94/5.33 cnf('0.1020.2.0',plain,
% 4.94/5.33 ( ld(ld(X1,X2),unit) = ld(X2,X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1020.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_1018]).
% 4.94/5.33 cnf('0.1021.0.0',plain,
% 4.94/5.33 ( ld(ld(X1,unit),X2) = ld(mult(X2,ld(X1,unit)),mult(mult(X2,mult(X2,ld(X1,unit))),X1)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.839.2.0','0.1018.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.1021.0.1',plain,
% 4.94/5.33 ( ld(ld(X1,unit),X2) = ld(rd(X2,X1),mult(mult(X2,mult(X2,ld(X1,unit))),X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1021.0.0','0.1015.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.1','L')]).
% 4.94/5.33 cnf('0.1021.0.2',plain,
% 4.94/5.33 ( ld(ld(X1,unit),X2) = ld(rd(X2,X1),mult(mult(X2,rd(X2,X1)),X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1021.0.1','0.1015.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2.1.2','L')]).
% 4.94/5.33 cnf('0.1021.0.3',plain,
% 4.94/5.33 ( ld(ld(X1,unit),X2) = ld(rd(X2,X1),mult(rd(X2,X1),mult(X1,X2))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1021.0.2','0.182.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2','L')]).
% 4.94/5.33 cnf('0.1021.0.4',plain,
% 4.94/5.33 ( ld(ld(X1,unit),X2) = mult(X1,X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1021.0.3','0.7.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.1021.1.0',plain,
% 4.94/5.33 ( ld(ld(X1,unit),X2) = mult(X1,X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1021.0.4']),
% 4.94/5.33 [weight('<53,1018,839,[0,0,0,4]>')]).
% 4.94/5.33 cnf('0.1021.2.0',plain,
% 4.94/5.33 ( ld(ld(X1,unit),X2) = mult(X1,X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1021.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_1019]).
% 4.94/5.33 cnf('0.1023.0.0',plain,
% 4.94/5.33 ( ld(X1,unit) = rd(X2,mult(X1,X2)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.16.2.0','0.1021.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.1023.1.0',plain,
% 4.94/5.33 ( ld(X1,unit) = rd(X2,mult(X1,X2)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1023.0.0']),
% 4.94/5.33 [weight('<53,1021,16,[0,0,0,2]>')]).
% 4.94/5.33 cnf('0.1023.2.0',plain,
% 4.94/5.33 ( rd(X1,mult(X2,X1)) = ld(X2,unit) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1023.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_1021]).
% 4.94/5.33 cnf('0.1024.0.0',plain,
% 4.94/5.33 ( mult(rd(unit,X1),X2) = ld(X1,X2) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1021.2.0','0.17.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.1024.0.1',plain,
% 4.94/5.33 ( mult(ld(X1,unit),X2) = ld(X1,X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1024.0.0','0.55.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.1024.1.0',plain,
% 4.94/5.33 ( mult(ld(X1,unit),X2) = ld(X1,X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1024.0.1']),
% 4.94/5.33 [weight('<53,1021,17,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.1024.2.0',plain,
% 4.94/5.33 ( mult(ld(X1,unit),X2) = ld(X1,X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1024.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_1022]).
% 4.94/5.33 cnf('0.1025.0.0',plain,
% 4.94/5.33 ( ld(X1,unit) = rd(ld(X1,X2),X2) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1023.2.0','0.1.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.1025.1.0',plain,
% 4.94/5.33 ( ld(X1,unit) = rd(ld(X1,X2),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1025.0.0']),
% 4.94/5.33 [weight('<53,1023,1,[1,0,0,2]>')]).
% 4.94/5.33 cnf('0.1025.2.0',plain,
% 4.94/5.33 ( rd(ld(X1,X2),X2) = ld(X1,unit) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1025.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_1023]).
% 4.94/5.33 cnf('0.1026.0.0',plain,
% 4.94/5.33 ( ld(rd(X1,X2),unit) = rd(X2,X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1023.2.0','0.5.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.1026.1.0',plain,
% 4.94/5.33 ( ld(rd(X1,X2),unit) = rd(X2,X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1026.0.0']),
% 4.94/5.33 [weight('<53,1023,5,[1,0,0,2]>')]).
% 4.94/5.33 cnf('0.1026.2.0',plain,
% 4.94/5.33 ( ld(rd(X1,X2),unit) = rd(X2,X1) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1026.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_1024]).
% 4.94/5.33 cnf('0.1027.0.0',plain,
% 4.94/5.33 ( rd(X1,ld(X2,X3)) = mult(X1,ld(X3,X2)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1015.2.0','0.1020.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.1027.1.0',plain,
% 4.94/5.33 ( rd(X1,ld(X2,X3)) = mult(X1,ld(X3,X2)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1027.0.0']),
% 4.94/5.33 [weight('<65,1020,1015,[0,0,0,2]>')]).
% 4.94/5.33 cnf('0.1027.2.0',plain,
% 4.94/5.33 ( mult(X1,ld(X2,X3)) = rd(X1,ld(X3,X2)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1027.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_1025]).
% 4.94/5.33 cnf('0.1028.0.0',plain,
% 4.94/5.33 ( ld(X1,ld(X2,unit)) = ld(mult(X2,X1),unit) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1020.2.0','0.1021.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.1028.1.0',plain,
% 4.94/5.33 ( ld(X1,ld(X2,unit)) = ld(mult(X2,X1),unit) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1028.0.0']),
% 4.94/5.33 [weight('<65,1021,1020,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.1028.2.0',plain,
% 4.94/5.33 ( ld(mult(X1,X2),unit) = ld(X2,ld(X1,unit)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1028.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_1026]).
% 4.94/5.33 cnf('0.1029.0.0',plain,
% 4.94/5.33 ( mult(ld(X1,X2),X3) = ld(ld(X2,X1),X3) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1021.2.0','0.1020.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.1029.1.0',plain,
% 4.94/5.33 ( mult(ld(X1,X2),X3) = ld(ld(X2,X1),X3) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1029.0.0']),
% 4.94/5.33 [weight('<65,1021,1020,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.1029.2.0',plain,
% 4.94/5.33 ( mult(ld(X1,X2),X3) = ld(ld(X2,X1),X3) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1029.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_1027]).
% 4.94/5.33 cnf('0.1031.0.0',plain,
% 4.94/5.33 ( mult(ld(X1,X2),X2) = mult(ld(X1,unit),mult(X2,X2)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.29.2.0','0.1025.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.1031.0.1',plain,
% 4.94/5.33 ( mult(ld(X1,X2),X2) = ld(X1,mult(X2,X2)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1031.0.0','0.1024.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.1031.1.0',plain,
% 4.94/5.33 ( mult(ld(X1,X2),X2) = ld(X1,mult(X2,X2)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1031.0.1']),
% 4.94/5.33 [weight('<65,1025,29,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.1031.1.1',plain,
% 4.94/5.33 ( ld(ld(X2,X1),X2) = ld(X1,mult(X2,X2)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1031.1.0','0.1029.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.1031.2.0',plain,
% 4.94/5.33 ( ld(ld(X1,X2),X1) = ld(X2,mult(X1,X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1031.1.1',theory(equality)]),
% 4.94/5.33 [u,rule_1029]).
% 4.94/5.33 cnf('0.1034.0.0',plain,
% 4.94/5.33 ( ld(mult(X1,X2),unit) = rd(ld(X2,unit),X1) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1025.2.0','0.1019.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.1034.1.0',plain,
% 4.94/5.33 ( ld(mult(X1,X2),unit) = rd(ld(X2,unit),X1) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1034.0.0']),
% 4.94/5.33 [weight('<65,1025,1019,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.1034.1.1',plain,
% 4.94/5.33 ( ld(X2,ld(X1,unit)) = rd(ld(X2,unit),X1) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1034.1.0','0.1028.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.1034.2.0',plain,
% 4.94/5.33 ( rd(ld(X1,unit),X2) = ld(X1,ld(X2,unit)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1034.1.1',theory(equality)]),
% 4.94/5.33 [x,rule_1032]).
% 4.94/5.33 cnf('0.1038.0.0',plain,
% 4.94/5.33 ( mult(rd(X1,X2),X3) = ld(rd(X2,X1),X3) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1021.2.0','0.1026.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.1038.1.0',plain,
% 4.94/5.33 ( mult(rd(X1,X2),X3) = ld(rd(X2,X1),X3) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1038.0.0']),
% 4.94/5.33 [weight('<65,1026,1021,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.1038.2.0',plain,
% 4.94/5.33 ( mult(rd(X1,X2),X3) = ld(rd(X2,X1),X3) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1038.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_1036]).
% 4.94/5.33 cnf('0.1040.0.0',plain,
% 4.94/5.33 ( ld(X1,ld(X1,X2)) = ld(ld(X2,mult(X1,X1)),unit) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1020.2.0','0.1031.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.1040.0.1',plain,
% 4.94/5.33 ( ld(X1,ld(X1,X2)) = ld(mult(X1,X1),X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1040.0.0','0.1020.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.1040.1.0',plain,
% 4.94/5.33 ( ld(X1,ld(X1,X2)) = ld(mult(X1,X1),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1040.0.1']),
% 4.94/5.33 [weight('<65,1031,1020,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.1040.2.0',plain,
% 4.94/5.33 ( ld(mult(X1,X1),X2) = ld(X1,ld(X1,X2)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1040.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_1038]).
% 4.94/5.33 cnf('0.1043.0.0',plain,
% 4.94/5.33 ( mult(rd(X1,f(X2)),X2) = mult(X1,f(X2)) ),
% 4.94/5.33 inference(interreduction_right,[status(thm)],['0.30.2.0'])).
% 4.94/5.33 cnf('0.1043.0.1',plain,
% 4.94/5.33 ( ld(rd(f(X2),X1),X2) = mult(X1,f(X2)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1043.0.0','0.1038.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.1043.1.0',plain,
% 4.94/5.33 ( ld(rd(f(X2),X1),X2) = mult(X1,f(X2)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1043.0.1']),
% 4.94/5.33 [weight('<76,30,1038,[0,0,0,0]>')]).
% 4.94/5.33 cnf('0.1043.2.0',plain,
% 4.94/5.33 ( ld(rd(f(X1),X2),X1) = mult(X2,f(X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1043.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_1041]).
% 4.94/5.33 cnf('0.1049.0.0',plain,
% 4.94/5.33 ( mult(ld(X1,unit),f(X2)) = ld(mult(f(X2),X1),X2) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1043.2.0','0.1018.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.1049.0.1',plain,
% 4.94/5.33 ( ld(ld(unit,X1),f(X2)) = ld(mult(f(X2),X1),X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1049.0.0','0.1029.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.1049.0.2',plain,
% 4.94/5.33 ( ld(X1,f(X2)) = ld(mult(f(X2),X1),X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1049.0.1','0.10.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.1049.1.0',plain,
% 4.94/5.33 ( ld(X1,f(X2)) = ld(mult(f(X2),X1),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1049.0.2']),
% 4.94/5.33 [weight('<76,1043,1018,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.1049.2.0',plain,
% 4.94/5.33 ( ld(mult(f(X1),X2),X1) = ld(X2,f(X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1049.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_1047]).
% 4.94/5.33 cnf('0.1052.0.0',plain,
% 4.94/5.33 ( mult(f(X1),X2) = rd(X1,ld(X2,f(X1))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.16.2.0','0.1049.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.1052.1.0',plain,
% 4.94/5.33 ( mult(f(X1),X2) = rd(X1,ld(X2,f(X1))) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1052.0.0']),
% 4.94/5.33 [weight('<76,1049,16,[0,0,0,2]>')]).
% 4.94/5.33 cnf('0.1052.2.0',plain,
% 4.94/5.33 ( rd(X1,ld(X2,f(X1))) = mult(f(X1),X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1052.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_1050]).
% 4.94/5.33 cnf('0.1053.0.0',plain,
% 4.94/5.33 ( ld(X1,mult(f(X1),X2)) = ld(ld(X2,f(X1)),unit) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1020.2.0','0.1049.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.1053.0.1',plain,
% 4.94/5.33 ( ld(X1,mult(f(X1),X2)) = ld(f(X1),X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1053.0.0','0.1020.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.1053.1.0',plain,
% 4.94/5.33 ( ld(X1,mult(f(X1),X2)) = ld(f(X1),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1053.0.1']),
% 4.94/5.33 [weight('<76,1049,1020,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.1053.2.0',plain,
% 4.94/5.33 ( ld(X1,mult(f(X1),X2)) = ld(f(X1),X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1053.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_1051]).
% 4.94/5.33 cnf('0.1066.0.0',plain,
% 4.94/5.33 ( ld(f(X1),ld(f(X1),X2)) = ld(X1,X2) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1040.2.0','0.4.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.1066.1.0',plain,
% 4.94/5.33 ( ld(f(X1),ld(f(X1),X2)) = ld(X1,X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1066.0.0']),
% 4.94/5.33 [weight('<87,1040,4,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.1066.2.0',plain,
% 4.94/5.33 ( ld(f(X1),ld(f(X1),X2)) = ld(X1,X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1066.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_1064]).
% 4.94/5.33 cnf('0.1068.0.0',plain,
% 4.94/5.33 ( mult(f(X1),mult(f(X1),X2)) = rd(X1,ld(X2,unit)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1052.2.0','0.1019.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.1068.0.1',plain,
% 4.94/5.33 ( mult(f(X1),mult(f(X1),X2)) = mult(X1,X2) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.1068.0.0','0.1018.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.1068.1.0',plain,
% 4.94/5.33 ( mult(f(X1),mult(f(X1),X2)) = mult(X1,X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1068.0.1']),
% 4.94/5.33 [weight('<87,1052,1019,[1,0,0,2]>')]).
% 4.94/5.33 cnf('0.1068.2.0',plain,
% 4.94/5.33 ( mult(f(X1),mult(f(X1),X2)) = mult(X1,X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1068.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_1066]).
% 4.94/5.33 cnf('0.1110.0.0',plain,
% 4.94/5.33 ( rd(X1,ld(X2,ld(X3,unit))) = mult(X1,mult(X3,X2)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1027.2.0','0.1021.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.1110.1.0',plain,
% 4.94/5.33 ( rd(X1,ld(X2,ld(X3,unit))) = mult(X1,mult(X3,X2)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1110.0.0']),
% 4.94/5.33 [weight('<103,1027,1021,[1,0,0,2]>')]).
% 4.94/5.33 cnf('0.1110.2.0',plain,
% 4.94/5.33 ( rd(X1,ld(X2,ld(X3,unit))) = mult(X1,mult(X3,X2)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1110.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_1108]).
% 4.94/5.33 cnf('0.1111.0.0',plain,
% 4.94/5.33 ( mult(mult(X1,X2),X3) = ld(ld(X2,ld(X1,unit)),X3) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1021.2.0','0.1028.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.1111.1.0',plain,
% 4.94/5.33 ( mult(mult(X1,X2),X3) = ld(ld(X2,ld(X1,unit)),X3) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1111.0.0']),
% 4.94/5.33 [weight('<103,1028,1021,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.1111.2.0',plain,
% 4.94/5.33 ( ld(ld(X1,ld(X2,unit)),X3) = mult(mult(X2,X1),X3) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1111.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_1109]).
% 4.94/5.33 cnf('0.1706.0.0',plain,
% 4.94/5.33 ( mult(X1,mult(mult(X2,X3),X4)) = rd(X1,ld(X4,ld(X3,ld(X2,unit)))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1110.2.0','0.1028.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2.2','L')]).
% 4.94/5.33 cnf('0.1706.1.0',plain,
% 4.94/5.33 ( mult(X1,mult(mult(X2,X3),X4)) = rd(X1,ld(X4,ld(X3,ld(X2,unit)))) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.1706.0.0']),
% 4.94/5.33 [weight('<169,1110,1028,[1,0,0,4]>')]).
% 4.94/5.33 cnf('0.1706.2.0',plain,
% 4.94/5.33 ( rd(X1,ld(X2,ld(X3,ld(X4,unit)))) = mult(X1,mult(mult(X4,X3),X2)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.1706.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_1700]).
% 4.94/5.33 cnf('0.2385.0.0',plain,
% 4.94/5.33 ( mult(mult(X1,mult(X2,X3)),ld(X3,X2)) = mult(mult(X1,X3),mult(ld(X3,X2),X2)) ),
% 4.94/5.33 inference(interreduction_right,[status(thm)],['0.1013.2.0'])).
% 4.94/5.33 cnf('0.2385.0.1',plain,
% 4.94/5.33 ( rd(mult(X1,mult(X2,X3)),ld(X2,X3)) = mult(mult(X1,X3),mult(ld(X3,X2),X2)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2385.0.0','0.1027.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.2385.1.0',plain,
% 4.94/5.33 ( rd(mult(X1,mult(X2,X3)),ld(X2,X3)) = mult(mult(X1,X3),mult(ld(X3,X2),X2)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.2385.0.1']),
% 4.94/5.33 [weight('<189,1013,1027,[0,0,0,0]>')]).
% 4.94/5.33 cnf('0.2385.1.1',plain,
% 4.94/5.33 ( rd(mult(X1,mult(X2,X3)),ld(X2,X3)) = mult(mult(X1,X3),ld(ld(X2,X3),X2)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2385.1.0','0.1029.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2','L')]).
% 4.94/5.33 cnf('0.2385.1.2',plain,
% 4.94/5.33 ( rd(mult(X1,mult(X2,X3)),ld(X2,X3)) = mult(mult(X1,X3),ld(X3,mult(X2,X2))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2385.1.1','0.1031.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2','L')]).
% 4.94/5.33 cnf('0.2385.1.3',plain,
% 4.94/5.33 ( rd(mult(X1,mult(X2,X3)),ld(X2,X3)) = rd(mult(X1,X3),ld(mult(X2,X2),X3)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2385.1.2','0.1027.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.2385.1.4',plain,
% 4.94/5.33 ( rd(mult(X1,mult(X2,X3)),ld(X2,X3)) = rd(mult(X1,X3),ld(X2,ld(X2,X3))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2385.1.3','0.1040.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2','L')]).
% 4.94/5.33 cnf('0.2385.2.0',plain,
% 4.94/5.33 ( rd(mult(X1,mult(X2,X3)),ld(X2,X3)) = rd(mult(X1,X3),ld(X2,ld(X2,X3))) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.2385.1.4',theory(equality)]),
% 4.94/5.33 [u,rule_2378]).
% 4.94/5.33 cnf('0.2386.0.0',plain,
% 4.94/5.33 ( rd(mult(X1,mult(f(X2),X3)),ld(f(X2),ld(f(X2),mult(f(X2),X3)))) = rd(mult(X1,mult(X2,X3)),ld(f(X2),mult(f(X2),X3))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.2385.2.0','0.1068.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1.2','L')]).
% 4.94/5.33 cnf('0.2386.0.1',plain,
% 4.94/5.33 ( rd(mult(X1,mult(f(X2),X3)),ld(X2,mult(f(X2),X3))) = rd(mult(X1,mult(X2,X3)),ld(f(X2),mult(f(X2),X3))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2386.0.0','0.1066.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.2386.0.2',plain,
% 4.94/5.33 ( rd(mult(X1,mult(f(X2),X3)),ld(f(X2),X3)) = rd(mult(X1,mult(X2,X3)),ld(f(X2),mult(f(X2),X3))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2386.0.1','0.1053.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.2386.0.3',plain,
% 4.94/5.33 ( rd(mult(X1,X3),ld(f(X2),ld(f(X2),X3))) = rd(mult(X1,mult(X2,X3)),ld(f(X2),mult(f(X2),X3))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2386.0.2','0.2385.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.2386.0.4',plain,
% 4.94/5.33 ( rd(mult(X1,X3),ld(X2,X3)) = rd(mult(X1,mult(X2,X3)),ld(f(X2),mult(f(X2),X3))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2386.0.3','0.1066.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.2386.0.5',plain,
% 4.94/5.33 ( rd(mult(X1,X3),ld(X2,X3)) = rd(mult(X1,mult(X2,X3)),X3) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2386.0.4','0.7.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2','L')]).
% 4.94/5.33 cnf('0.2386.1.0',plain,
% 4.94/5.33 ( rd(mult(X1,X3),ld(X2,X3)) = rd(mult(X1,mult(X2,X3)),X3) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.2386.0.5']),
% 4.94/5.33 [weight('<119,2385,1068,[1,0,0,3]>')]).
% 4.94/5.33 cnf('0.2386.2.0',plain,
% 4.94/5.33 ( rd(mult(X1,mult(X2,X3)),X3) = rd(mult(X1,X3),ld(X2,X3)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.2386.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_2379]).
% 4.94/5.33 cnf('0.2388.0.0',plain,
% 4.94/5.33 ( rd(X1,mult(X2,mult(X3,X1))) = ld(rd(mult(X2,X1),ld(X3,X1)),unit) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.1026.2.0','0.2386.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.2388.0.1',plain,
% 4.94/5.33 ( rd(X1,mult(X2,mult(X3,X1))) = rd(ld(X3,X1),mult(X2,X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2388.0.0','0.1026.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.2388.1.0',plain,
% 4.94/5.33 ( rd(X1,mult(X2,mult(X3,X1))) = rd(ld(X3,X1),mult(X2,X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.2388.0.1']),
% 4.94/5.33 [weight('<119,2386,1026,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.2388.2.0',plain,
% 4.94/5.33 ( rd(ld(X1,X2),mult(X3,X2)) = rd(X2,mult(X3,mult(X1,X2))) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.2388.1.0',theory(equality)]),
% 4.94/5.33 [x,rule_2381]).
% 4.94/5.33 cnf('0.2423.0.0',plain,
% 4.94/5.33 ( rd(X1,mult(X2,mult(rd(X1,X3),X1))) = rd(X3,mult(X2,X1)) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.2388.2.0','0.17.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.2423.0.1',plain,
% 4.94/5.33 ( rd(X1,mult(X2,ld(rd(X3,X1),X1))) = rd(X3,mult(X2,X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2423.0.0','0.1038.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2.2','L')]).
% 4.94/5.33 cnf('0.2423.0.2',plain,
% 4.94/5.33 ( rd(X1,rd(X2,ld(X1,rd(X3,X1)))) = rd(X3,mult(X2,X1)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2423.0.1','0.1027.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2','L')]).
% 4.94/5.33 cnf('0.2423.1.0',plain,
% 4.94/5.33 ( rd(X1,rd(X2,ld(X1,rd(X3,X1)))) = rd(X3,mult(X2,X1)) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.2423.0.2']),
% 4.94/5.33 [weight('<149,2388,17,[1,0,0,1]>')]).
% 4.94/5.33 cnf('0.2423.2.0',plain,
% 4.94/5.33 ( rd(X1,rd(X2,ld(X1,rd(X3,X1)))) = rd(X3,mult(X2,X1)) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.2423.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_2416]).
% 4.94/5.33 cnf('0.2424.0.0',plain,
% 4.94/5.33 ( rd(X1,ld(X2,rd(X3,X2))) = ld(rd(X3,mult(X1,X2)),X2) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.17.2.0','0.2423.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.2424.1.0',plain,
% 4.94/5.33 ( rd(X1,ld(X2,rd(X3,X2))) = ld(rd(X3,mult(X1,X2)),X2) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.2424.0.0']),
% 4.94/5.33 [weight('<119,2423,17,[0,0,0,1]>')]).
% 4.94/5.33 cnf('0.2424.2.0',plain,
% 4.94/5.33 ( rd(X1,ld(X2,rd(X3,X2))) = ld(rd(X3,mult(X1,X2)),X2) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.2424.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_2417]).
% 4.94/5.33 cnf('0.2428.0.0',plain,
% 4.94/5.33 ( ld(rd(ld(X1,unit),mult(X2,X3)),X3) = rd(X2,ld(X3,ld(X1,ld(X3,unit)))) ),
% 4.94/5.33 inference(cp,[status(thm)],['0.2424.2.0','0.1034.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.2.2','L')]).
% 4.94/5.33 cnf('0.2428.0.1',plain,
% 4.94/5.33 ( ld(ld(X1,ld(mult(X2,X3),unit)),X3) = rd(X2,ld(X3,ld(X1,ld(X3,unit)))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2428.0.0','0.1034.2.0',theory(equality)]),
% 4.94/5.33 [pos('L.1','L')]).
% 4.94/5.33 cnf('0.2428.0.2',plain,
% 4.94/5.33 ( mult(mult(mult(X2,X3),X1),X3) = rd(X2,ld(X3,ld(X1,ld(X3,unit)))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2428.0.1','0.1111.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('0.2428.0.3',plain,
% 4.94/5.33 ( mult(mult(mult(X2,X3),X1),X3) = mult(X2,mult(mult(X3,X1),X3)) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2428.0.2','0.1706.2.0',theory(equality)]),
% 4.94/5.33 [pos('R','L')]).
% 4.94/5.33 cnf('0.2428.0.4',plain,
% 4.94/5.33 ( mult(mult(mult(X2,X3),X1),X3) = mult(X2,mult(X3,mult(X1,X3))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['0.2428.0.3','0.8.2.0',theory(equality)]),
% 4.94/5.33 [pos('R.2','L')]).
% 4.94/5.33 cnf('0.2428.1.0',plain,
% 4.94/5.33 ( mult(mult(mult(X2,X3),X1),X3) = mult(X2,mult(X3,mult(X1,X3))) ),
% 4.94/5.33 inference(weigh,[status(thm)],['0.2428.0.4']),
% 4.94/5.33 [weight('<119,2424,1034,[1,0,0,4]>')]).
% 4.94/5.33 cnf('0.2428.2.0',plain,
% 4.94/5.33 ( mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(X2,mult(X3,X2))) ),
% 4.94/5.33 inference(orient,[status(thm)],['0.2428.1.0',theory(equality)]),
% 4.94/5.33 [u,rule_2421]).
% 4.94/5.33 cnf('1.0.0.0',conjecture,
% 4.94/5.33 ( mult(mult(mult(a,b),c),b) = mult(a,mult(b,mult(c,b))) ),
% 4.94/5.33 file('/tmp/WALDMEISTER_4579_n020',conjecture_1)).
% 4.94/5.33 cnf('1.0.0.1',plain,
% 4.94/5.33 ( mult(a,mult(b,mult(c,b))) = mult(a,mult(b,mult(c,b))) ),
% 4.94/5.33 inference(reduction,[status(thm)],['1.0.0.0','0.2428.2.0',theory(equality)]),
% 4.94/5.33 [pos('L','L')]).
% 4.94/5.33 cnf('1.0.0.2',plain,
% 4.94/5.33 ( $true ),
% 4.94/5.33 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 4.94/5.33 [conjecture_1]).
% 4.94/5.33
% 4.94/5.33 Proved Goals:
% 4.94/5.33 No. 1: mult(mult(mult(a,b),c),b) ?= mult(a,mult(b,mult(c,b))) joined, current: mult(a,mult(b,mult(c,b))) = mult(a,mult(b,mult(c,b)))
% 4.94/5.33 1 goal was specified, which was proved.
% 4.94/5.33 % SZS output end CNFRefutation
% 4.94/5.33 #END OF PROOF
% 4.94/5.33
% 4.94/5.33 Problem WALDMEISTER_4579_n020
% 4.94/5.33 CPs.gen 864049
% 4.94/5.33 CPs.reexp 0
% 4.94/5.33 Select 18654
% 4.94/5.33 R 2421
% 4.94/5.33 E 7
% 4.94/5.33 vsize 9.8M
% 4.94/5.33 rss 5.4M
% 4.94/5.33 process.time 4.339s
% 4.94/5.33 wallclock.time 4.339s
% 4.94/5.33 status S
% 4.94/5.33
% 4.94/5.33
% 4.94/5.33 Waldmeister states: Goal proved.
% 4.94/5.33 % SZS status Unsatisfiable
%------------------------------------------------------------------------------