TSTP Solution File: GRP707-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP707-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 12:28:11 EDT 2022
% Result : Unsatisfiable 0.62s 1.03s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP707-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 07:44:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.98 * |/ | \/ | *
% 0.58/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.98 * A. Jaeger and B. Loechner | | *
% 0.58/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.98
% 0.58/0.98 Goals:
% 0.58/0.98 ------
% 0.58/0.98
% 0.58/0.98 ( 1) mult(mult(a,b),a) ?=? mult(a,mult(b,a))
% 0.58/0.98
% 0.58/0.98 Detected structure: Loop
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.62/1.03 joined goal: 1 mult(mult(a,b),a) ?= mult(a,mult(b,a)) to ld(a,rd(b,a))
% 0.62/1.03 goal joined
% 0.62/1.03 % SZS status Unsatisfiable
% 0.62/1.03 #START OF PROOF
% 0.62/1.03 % SZS output start CNFRefutation
% 0.62/1.03 cnf('0.1.0.0',axiom,
% 0.62/1.03 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_16745_n009')).
% 0.62/1.03 cnf('0.1.1.0',plain,
% 0.62/1.03 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.62/1.03 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.62/1.03 cnf('0.1.2.0',plain,
% 0.62/1.03 ( mult(X1,ld(X1,X2)) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_1]).
% 0.62/1.03 cnf('0.2.0.0',axiom,
% 0.62/1.03 ( X1 = mult(X1,unit) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_16745_n009')).
% 0.62/1.03 cnf('0.2.1.0',plain,
% 0.62/1.03 ( X1 = mult(X1,unit) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.62/1.04 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.2.2.0',plain,
% 0.62/1.04 ( mult(X1,unit) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_2]).
% 0.62/1.04 cnf('0.3.0.0',axiom,
% 0.62/1.04 ( X1 = mult(unit,X1) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_16745_n009')).
% 0.62/1.04 cnf('0.3.1.0',plain,
% 0.62/1.04 ( X1 = mult(unit,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.62/1.04 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.62/1.04 cnf('0.3.2.0',plain,
% 0.62/1.04 ( mult(unit,X1) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_3]).
% 0.62/1.04 cnf('0.4.0.0',axiom,
% 0.62/1.04 ( X1 = mult(rd(X1,X2),X2) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_16745_n009')).
% 0.62/1.04 cnf('0.4.1.0',plain,
% 0.62/1.04 ( X1 = mult(rd(X1,X2),X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.62/1.04 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.62/1.04 cnf('0.4.2.0',plain,
% 0.62/1.04 ( mult(rd(X1,X2),X2) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_4]).
% 0.62/1.04 cnf('0.5.0.0',axiom,
% 0.62/1.04 ( X1 = rd(mult(X1,X2),X2) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_16745_n009')).
% 0.62/1.04 cnf('0.5.1.0',plain,
% 0.62/1.04 ( X1 = rd(mult(X1,X2),X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.62/1.04 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.62/1.04 cnf('0.5.2.0',plain,
% 0.62/1.04 ( rd(mult(X1,X2),X2) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_5]).
% 0.62/1.04 cnf('0.6.0.0',axiom,
% 0.62/1.04 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_16745_n009')).
% 0.62/1.04 cnf('0.6.1.0',plain,
% 0.62/1.04 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.62/1.04 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.62/1.04 cnf('0.6.2.0',plain,
% 0.62/1.04 ( ld(X1,mult(X1,X2)) = X2 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_6]).
% 0.62/1.04 cnf('0.7.0.0',axiom,
% 0.62/1.04 ( mult(X1,mult(X2,X2)) = mult(mult(X2,X2),X1) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_16745_n009')).
% 0.62/1.04 cnf('0.7.1.0',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X2)) = mult(mult(X2,X2),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.62/1.04 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.62/1.04 cnf('0.7.2.0',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X2)) = mult(mult(X2,X2),X1) ),
% 0.62/1.04 inference(activate,[status(thm)],['0.7.1.0']),
% 0.62/1.04 [equation_1]).
% 0.62/1.04 cnf('0.8.0.0',axiom,
% 0.62/1.04 ( mult(X1,mult(X2,mult(X2,X3))) = mult(mult(mult(X1,X2),X2),X3) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_16745_n009')).
% 0.62/1.04 cnf('0.8.1.0',plain,
% 0.62/1.04 ( mult(X1,mult(X2,mult(X2,X3))) = mult(mult(mult(X1,X2),X2),X3) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.62/1.04 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.62/1.04 cnf('0.8.2.0',plain,
% 0.62/1.04 ( mult(mult(mult(X1,X2),X2),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_7]).
% 0.62/1.04 cnf('0.9.0.0',axiom,
% 0.62/1.04 ( mult(X1,mult(X1,mult(X1,X1))) = unit ),
% 0.62/1.04 file('/tmp/WALDMEISTER_16745_n009')).
% 0.62/1.04 cnf('0.9.1.0',plain,
% 0.62/1.04 ( mult(X1,mult(X1,mult(X1,X1))) = unit ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.62/1.04 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.62/1.04 cnf('0.9.2.0',plain,
% 0.62/1.04 ( mult(X1,mult(X1,mult(X1,X1))) = unit ),
% 0.62/1.04 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_8]).
% 0.62/1.04 cnf('0.13.0.0',plain,
% 0.62/1.04 ( unit = ld(X1,X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.13.1.0',plain,
% 0.62/1.04 ( unit = ld(X1,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.62/1.04 [weight('<19,6,2,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.13.2.0',plain,
% 0.62/1.04 ( ld(X1,X1) = unit ),
% 0.62/1.04 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_12]).
% 0.62/1.04 cnf('0.14.0.0',plain,
% 0.62/1.04 ( X1 = rd(X2,ld(X1,X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.14.1.0',plain,
% 0.62/1.04 ( X1 = rd(X2,ld(X1,X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.62/1.04 [weight('<41,5,1,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.14.2.0',plain,
% 0.62/1.04 ( rd(X1,ld(X2,X1)) = X2 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_13]).
% 0.62/1.04 cnf('0.15.0.0',plain,
% 0.62/1.04 ( X1 = ld(rd(X2,X1),X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.15.1.0',plain,
% 0.62/1.04 ( X1 = ld(rd(X2,X1),X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.62/1.04 [weight('<41,6,4,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.15.2.0',plain,
% 0.62/1.04 ( ld(rd(X1,X2),X1) = X2 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_14]).
% 0.62/1.04 cnf('0.16.0.0',plain,
% 0.62/1.04 ( mult(X1,mult(X1,X1)) = ld(X1,unit) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.6.2.0','0.9.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.16.1.0',plain,
% 0.62/1.04 ( mult(X1,mult(X1,X1)) = ld(X1,unit) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.62/1.04 [weight('<53,9,6,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.16.2.0',plain,
% 0.62/1.04 ( mult(X1,mult(X1,X1)) = ld(X1,unit) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_15]).
% 0.62/1.04 cnf('0.18.0.0',plain,
% 0.62/1.04 ( mult(X1,mult(X2,mult(X2,unit))) = mult(mult(X1,X2),X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.18.0.1',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.18.0.0','0.2.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2.2','L')]).
% 0.62/1.04 cnf('0.18.1.0',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.62/1.04 [weight('<65,8,2,[1,0,0,0]>')]).
% 0.62/1.04 cnf('0.18.2.0',plain,
% 0.62/1.04 ( mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_17]).
% 0.62/1.04 cnf('0.20.0.0',plain,
% 0.62/1.04 ( mult(X1,X1) = rd(mult(X2,mult(X1,X1)),X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.5.2.0','0.7.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','R')]).
% 0.62/1.04 cnf('0.20.1.0',plain,
% 0.62/1.04 ( mult(X1,X1) = rd(mult(X2,mult(X1,X1)),X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.62/1.04 [weight('<87,7,5,[0,1,0,1]>')]).
% 0.62/1.04 cnf('0.20.2.0',plain,
% 0.62/1.04 ( rd(mult(X1,mult(X2,X2)),X1) = mult(X2,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_19]).
% 0.62/1.04 cnf('0.21.0.0',plain,
% 0.62/1.04 ( mult(X1,X1) = rd(ld(X1,unit),X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.20.2.0','0.16.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.21.1.0',plain,
% 0.62/1.04 ( mult(X1,X1) = rd(ld(X1,unit),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.62/1.04 [weight('<53,20,16,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.21.2.0',plain,
% 0.62/1.04 ( rd(ld(X1,unit),X1) = mult(X1,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_20]).
% 0.62/1.04 cnf('0.23.0.0',plain,
% 0.62/1.04 ( mult(X1,X1) = ld(X2,mult(mult(X1,X1),X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.23.1.0',plain,
% 0.62/1.04 ( mult(X1,X1) = ld(X2,mult(mult(X1,X1),X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.62/1.04 [weight('<87,7,6,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.23.2.0',plain,
% 0.62/1.04 ( ld(X1,mult(mult(X2,X2),X1)) = mult(X2,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_22]).
% 0.62/1.04 cnf('0.24.0.0',plain,
% 0.62/1.04 ( mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.18.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.24.1.0',plain,
% 0.62/1.04 ( mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.62/1.04 [weight('<87,18,4,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.24.2.0',plain,
% 0.62/1.04 ( mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_23]).
% 0.62/1.04 cnf('0.25.0.0',plain,
% 0.62/1.04 ( mult(X1,X2) = rd(mult(X1,mult(X2,X2)),X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.5.2.0','0.18.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.25.1.0',plain,
% 0.62/1.04 ( mult(X1,X2) = rd(mult(X1,mult(X2,X2)),X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.62/1.04 [weight('<87,18,5,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.25.2.0',plain,
% 0.62/1.04 ( rd(mult(X1,mult(X2,X2)),X2) = mult(X1,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_24]).
% 0.62/1.04 cnf('0.26.0.0',plain,
% 0.62/1.04 ( mult(X1,X1) = rd(X2,rd(X2,mult(X1,X1))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.20.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.26.1.0',plain,
% 0.62/1.04 ( mult(X1,X1) = rd(X2,rd(X2,mult(X1,X1))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.62/1.04 [weight('<87,20,4,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.26.2.0',plain,
% 0.62/1.04 ( rd(X1,rd(X1,mult(X2,X2))) = mult(X2,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_25]).
% 0.62/1.04 cnf('0.27.0.0',plain,
% 0.62/1.04 ( rd(X1,mult(X2,X2)) = ld(mult(X2,X2),X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.15.2.0','0.26.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.27.1.0',plain,
% 0.62/1.04 ( rd(X1,mult(X2,X2)) = ld(mult(X2,X2),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.62/1.04 [weight('<65,26,15,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.27.2.0',plain,
% 0.62/1.04 ( rd(X1,mult(X2,X2)) = ld(mult(X2,X2),X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_26]).
% 0.62/1.04 cnf('0.29.0.0',plain,
% 0.62/1.04 ( rd(X1,X2) = rd(mult(X1,X2),mult(X2,X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.5.2.0','0.24.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.29.1.0',plain,
% 0.62/1.04 ( rd(X1,X2) = rd(mult(X1,X2),mult(X2,X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.62/1.04 [weight('<87,24,5,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.29.1.1',plain,
% 0.62/1.04 ( rd(X1,X2) = ld(mult(X2,X2),mult(X1,X2)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.29.1.0','0.27.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.29.2.0',plain,
% 0.62/1.04 ( ld(mult(X1,X1),mult(X2,X1)) = rd(X2,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.29.1.1',theory(equality)]),
% 0.62/1.04 [x,rule_28]).
% 0.62/1.04 cnf('0.30.0.0',plain,
% 0.62/1.04 ( rd(unit,X1) = ld(mult(X1,X1),X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.29.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.30.1.0',plain,
% 0.62/1.04 ( rd(unit,X1) = ld(mult(X1,X1),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.62/1.04 [weight('<53,29,3,[1,0,0,4]>')]).
% 0.62/1.04 cnf('0.30.2.0',plain,
% 0.62/1.04 ( ld(mult(X1,X1),X1) = rd(unit,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_29]).
% 0.62/1.04 cnf('0.31.0.0',plain,
% 0.62/1.04 ( mult(X1,X1) = rd(X1,rd(unit,X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.14.2.0','0.30.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.31.1.0',plain,
% 0.62/1.04 ( mult(X1,X1) = rd(X1,rd(unit,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.62/1.04 [weight('<53,30,14,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.31.2.0',plain,
% 0.62/1.04 ( rd(X1,rd(unit,X1)) = mult(X1,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_30]).
% 0.62/1.04 cnf('0.34.0.0',plain,
% 0.62/1.04 ( mult(X1,X1) = ld(rd(X2,X1),mult(X2,X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.6.2.0','0.24.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.34.1.0',plain,
% 0.62/1.04 ( mult(X1,X1) = ld(rd(X2,X1),mult(X2,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.62/1.04 [weight('<87,24,6,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.34.2.0',plain,
% 0.62/1.04 ( ld(rd(X1,X2),mult(X1,X2)) = mult(X2,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_33]).
% 0.62/1.04 cnf('0.35.0.0',plain,
% 0.62/1.04 ( mult(X1,X2) = mult(mult(X2,X2),rd(X1,X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.24.2.0','0.7.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.35.1.0',plain,
% 0.62/1.04 ( mult(X1,X2) = mult(mult(X2,X2),rd(X1,X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.62/1.04 [weight('<87,24,7,[1,0,0,0]>')]).
% 0.62/1.04 cnf('0.35.2.0',plain,
% 0.62/1.04 ( mult(mult(X1,X1),rd(X2,X1)) = mult(X2,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_34]).
% 0.62/1.04 cnf('0.36.0.0',plain,
% 0.62/1.04 ( mult(X1,X1) = rd(mult(X2,X1),rd(X2,X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.20.2.0','0.24.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.36.1.0',plain,
% 0.62/1.04 ( mult(X1,X1) = rd(mult(X2,X1),rd(X2,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.62/1.04 [weight('<87,24,20,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.36.2.0',plain,
% 0.62/1.04 ( rd(mult(X1,X2),rd(X1,X2)) = mult(X2,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_35]).
% 0.62/1.04 cnf('0.37.0.0',plain,
% 0.62/1.04 ( mult(rd(X1,mult(X2,X2)),X2) = rd(X1,X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.25.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.37.1.0',plain,
% 0.62/1.04 ( mult(rd(X1,mult(X2,X2)),X2) = rd(X1,X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.62/1.04 [weight('<87,25,4,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.37.1.1',plain,
% 0.62/1.04 ( mult(ld(mult(X2,X2),X1),X2) = rd(X1,X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.37.1.0','0.27.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.37.2.0',plain,
% 0.62/1.04 ( mult(ld(mult(X1,X1),X2),X1) = rd(X2,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.37.1.1',theory(equality)]),
% 0.62/1.04 [u,rule_36]).
% 0.62/1.04 cnf('0.39.0.0',plain,
% 0.62/1.04 ( mult(ld(X1,unit),ld(X1,unit)) = rd(ld(X1,unit),X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.31.2.0','0.14.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.39.0.1',plain,
% 0.62/1.04 ( mult(ld(X1,unit),ld(X1,unit)) = mult(X1,X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.39.0.0','0.21.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.39.1.0',plain,
% 0.62/1.04 ( mult(ld(X1,unit),ld(X1,unit)) = mult(X1,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.39.0.1']),
% 0.62/1.04 [weight('<87,31,14,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.39.2.0',plain,
% 0.62/1.04 ( mult(ld(X1,unit),ld(X1,unit)) = mult(X1,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_38]).
% 0.62/1.04 cnf('0.42.0.0',plain,
% 0.62/1.04 ( mult(rd(unit,X1),rd(unit,X1)) = mult(X1,ld(rd(unit,X1),unit)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.39.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.42.0.1',plain,
% 0.62/1.04 ( mult(rd(unit,X1),rd(unit,X1)) = mult(X1,X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.42.0.0','0.15.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2','L')]).
% 0.62/1.04 cnf('0.42.1.0',plain,
% 0.62/1.04 ( mult(rd(unit,X1),rd(unit,X1)) = mult(X1,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.42.0.1']),
% 0.62/1.04 [weight('<87,39,15,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.42.2.0',plain,
% 0.62/1.04 ( mult(rd(unit,X1),rd(unit,X1)) = mult(X1,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_41]).
% 0.62/1.04 cnf('0.45.0.0',plain,
% 0.62/1.04 ( mult(ld(X1,unit),X1) = mult(mult(X1,X1),mult(X1,X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.24.2.0','0.21.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.45.1.0',plain,
% 0.62/1.04 ( mult(ld(X1,unit),X1) = mult(mult(X1,X1),mult(X1,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.62/1.04 [weight('<103,24,21,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.45.2.0',plain,
% 0.62/1.04 ( mult(mult(X1,X1),mult(X1,X1)) = mult(ld(X1,unit),X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_44]).
% 0.62/1.04 cnf('0.46.0.0',plain,
% 0.62/1.04 ( mult(ld(rd(unit,X1),unit),rd(unit,X1)) = mult(mult(X1,X1),mult(rd(unit,X1),rd(unit,X1))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.45.2.0','0.42.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.46.0.1',plain,
% 0.62/1.04 ( mult(X1,rd(unit,X1)) = mult(mult(X1,X1),mult(rd(unit,X1),rd(unit,X1))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.46.0.0','0.15.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.46.0.2',plain,
% 0.62/1.04 ( mult(X1,rd(unit,X1)) = mult(mult(X1,X1),mult(X1,X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.46.0.1','0.42.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2','L')]).
% 0.62/1.04 cnf('0.46.0.3',plain,
% 0.62/1.04 ( mult(X1,rd(unit,X1)) = mult(ld(X1,unit),X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.46.0.2','0.45.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.46.1.0',plain,
% 0.62/1.04 ( mult(X1,rd(unit,X1)) = mult(ld(X1,unit),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.46.0.3']),
% 0.62/1.04 [weight('<65,45,42,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.46.2.0',plain,
% 0.62/1.04 ( mult(ld(X1,unit),X1) = mult(X1,rd(unit,X1)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_45]).
% 0.62/1.04 cnf('0.47.0.0',plain,
% 0.62/1.04 ( ld(X1,unit) = rd(mult(X1,rd(unit,X1)),X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.5.2.0','0.46.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.47.1.0',plain,
% 0.62/1.04 ( ld(X1,unit) = rd(mult(X1,rd(unit,X1)),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.47.0.0']),
% 0.62/1.04 [weight('<87,46,5,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.47.2.0',plain,
% 0.62/1.04 ( rd(mult(X1,rd(unit,X1)),X1) = ld(X1,unit) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_46]).
% 0.62/1.04 cnf('0.48.0.0',plain,
% 0.62/1.04 ( mult(ld(X1,unit),X1) = mult(mult(X1,X1),mult(X1,X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.35.2.0','0.21.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.48.1.0',plain,
% 0.62/1.04 ( mult(ld(X1,unit),X1) = mult(mult(X1,X1),mult(X1,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.48.0.0']),
% 0.62/1.04 [weight('<103,35,21,[1,0,0,4]>')]).
% 0.62/1.04 cnf('0.48.1.1',plain,
% 0.62/1.04 ( mult(X1,rd(unit,X1)) = mult(mult(X1,X1),mult(X1,X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.48.1.0','0.46.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.48.2.0',plain,
% 0.62/1.04 ( mult(mult(X1,X1),mult(X1,X1)) = mult(X1,rd(unit,X1)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.48.1.1',theory(equality)]),
% 0.62/1.04 [x,rule_47]).
% 0.62/1.04 cnf('0.86.0.0',plain,
% 0.62/1.04 ( mult(mult(mult(X1,X2),X2),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.8.2.0'])).
% 0.62/1.04 cnf('0.86.0.1',plain,
% 0.62/1.04 ( mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.86.0.0','0.18.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.86.1.0',plain,
% 0.62/1.04 ( mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.86.0.1']),
% 0.62/1.04 [weight('<119,8,18,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.86.2.0',plain,
% 0.62/1.04 ( mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_85]).
% 0.62/1.04 cnf('0.87.0.0',plain,
% 0.62/1.04 ( mult(unit,mult(X1,mult(X1,X2))) = mult(mult(X1,X1),X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.86.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.87.0.1',plain,
% 0.62/1.04 ( mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.87.0.0','0.3.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.87.1.0',plain,
% 0.62/1.04 ( mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.87.0.1']),
% 0.62/1.04 [weight('<65,86,3,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.87.2.0',plain,
% 0.62/1.04 ( mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_86]).
% 0.62/1.04 cnf('0.88.0.0',plain,
% 0.62/1.04 ( mult(mult(X1,X1),mult(X1,X1)) = mult(X1,rd(unit,X1)) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.48.2.0'])).
% 0.62/1.04 cnf('0.88.0.1',plain,
% 0.62/1.04 ( mult(X1,mult(X1,mult(X1,X1))) = mult(X1,rd(unit,X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.88.0.0','0.87.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.88.0.2',plain,
% 0.62/1.04 ( mult(X1,ld(X1,unit)) = mult(X1,rd(unit,X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.88.0.1','0.16.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.88.0.3',plain,
% 0.62/1.04 ( unit = mult(X1,rd(unit,X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.88.0.2','0.1.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.88.1.0',plain,
% 0.62/1.04 ( unit = mult(X1,rd(unit,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.88.0.3']),
% 0.62/1.04 [weight('<41,48,87,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.88.2.0',plain,
% 0.62/1.04 ( mult(X1,rd(unit,X1)) = unit ),
% 0.62/1.04 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_87]).
% 0.62/1.04 cnf('0.89.0.0',plain,
% 0.62/1.04 ( rd(mult(X1,rd(unit,X1)),X1) = ld(X1,unit) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.47.2.0'])).
% 0.62/1.04 cnf('0.89.0.1',plain,
% 0.62/1.04 ( rd(unit,X1) = ld(X1,unit) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.89.0.0','0.88.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.89.1.0',plain,
% 0.62/1.04 ( rd(unit,X1) = ld(X1,unit) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.89.0.1']),
% 0.62/1.04 [weight('<27,47,88,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.89.2.0',plain,
% 0.62/1.04 ( rd(unit,X1) = ld(X1,unit) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_88]).
% 0.62/1.04 cnf('0.92.0.0',plain,
% 0.62/1.04 ( ld(mult(X1,X1),X1) = rd(unit,X1) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.30.2.0'])).
% 0.62/1.04 cnf('0.92.0.1',plain,
% 0.62/1.04 ( ld(mult(X1,X1),X1) = ld(X1,unit) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.92.0.0','0.89.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.92.1.0',plain,
% 0.62/1.04 ( ld(mult(X1,X1),X1) = ld(X1,unit) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.92.0.1']),
% 0.62/1.04 [weight('<53,30,89,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.92.2.0',plain,
% 0.62/1.04 ( ld(mult(X1,X1),X1) = ld(X1,unit) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.92.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_91]).
% 0.62/1.04 cnf('0.96.0.0',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X2)) = mult(rd(X1,mult(X2,X2)),mult(X2,mult(X2,mult(X2,X2)))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.24.2.0','0.87.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.96.0.1',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X2)) = mult(ld(mult(X2,X2),X1),mult(X2,mult(X2,mult(X2,X2)))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.96.0.0','0.27.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.1','L')]).
% 0.62/1.04 cnf('0.96.0.2',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X2)) = mult(ld(mult(X2,X2),X1),mult(X2,ld(X2,unit))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.96.0.1','0.16.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2.2','L')]).
% 0.62/1.04 cnf('0.96.0.3',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X2)) = mult(ld(mult(X2,X2),X1),unit) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.96.0.2','0.1.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2','L')]).
% 0.62/1.04 cnf('0.96.0.4',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X2)) = ld(mult(X2,X2),X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.96.0.3','0.2.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.96.1.0',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X2)) = ld(mult(X2,X2),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.96.0.4']),
% 0.62/1.04 [weight('<65,87,24,[0,0,0,4]>')]).
% 0.62/1.04 cnf('0.96.2.0',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X2)) = ld(mult(X2,X2),X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_95]).
% 0.62/1.04 cnf('0.97.0.0',plain,
% 0.62/1.04 ( mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.18.2.0'])).
% 0.62/1.04 cnf('0.97.0.1',plain,
% 0.62/1.04 ( mult(mult(X1,X2),X2) = ld(mult(X2,X2),X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.97.0.0','0.96.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.97.1.0',plain,
% 0.62/1.04 ( mult(mult(X1,X2),X2) = ld(mult(X2,X2),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.97.0.1']),
% 0.62/1.04 [weight('<65,18,96,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.97.2.0',plain,
% 0.62/1.04 ( mult(mult(X1,X2),X2) = ld(mult(X2,X2),X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_96]).
% 0.62/1.04 cnf('0.98.0.0',plain,
% 0.62/1.04 ( rd(mult(X1,mult(X2,X2)),X1) = mult(X2,X2) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.20.2.0'])).
% 0.62/1.04 cnf('0.98.0.1',plain,
% 0.62/1.04 ( rd(ld(mult(X2,X2),X1),X1) = mult(X2,X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.98.0.0','0.96.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.98.1.0',plain,
% 0.62/1.04 ( rd(ld(mult(X2,X2),X1),X1) = mult(X2,X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.98.0.1']),
% 0.62/1.04 [weight('<87,20,96,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.98.2.0',plain,
% 0.62/1.04 ( rd(ld(mult(X1,X1),X2),X2) = mult(X1,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_97]).
% 0.62/1.04 cnf('0.99.0.0',plain,
% 0.62/1.04 ( ld(mult(X1,X1),X2) = mult(mult(X1,X1),X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.4.2.0','0.98.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.99.0.1',plain,
% 0.62/1.04 ( ld(mult(X1,X1),X2) = mult(X1,mult(X1,X2)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.99.0.0','0.87.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.99.1.0',plain,
% 0.62/1.04 ( ld(mult(X1,X1),X2) = mult(X1,mult(X1,X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.99.0.1']),
% 0.62/1.04 [weight('<65,98,4,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.99.2.0',plain,
% 0.62/1.04 ( mult(X1,mult(X1,X2)) = ld(mult(X1,X1),X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_98]).
% 0.62/1.04 cnf('0.101.0.0',plain,
% 0.62/1.04 ( ld(X1,mult(mult(X2,X2),X1)) = mult(X2,X2) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.23.2.0'])).
% 0.62/1.04 cnf('0.101.0.1',plain,
% 0.62/1.04 ( ld(X1,mult(X2,mult(X2,X1))) = mult(X2,X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.101.0.0','0.87.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.101.1.0',plain,
% 0.62/1.04 ( ld(X1,mult(X2,mult(X2,X1))) = mult(X2,X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.101.0.1']),
% 0.62/1.04 [weight('<87,23,87,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.101.1.1',plain,
% 0.62/1.04 ( ld(X1,ld(mult(X2,X2),X1)) = mult(X2,X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.101.1.0','0.99.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.101.2.0',plain,
% 0.62/1.04 ( ld(X1,ld(mult(X2,X2),X1)) = mult(X2,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.101.1.1',theory(equality)]),
% 0.62/1.04 [u,rule_100]).
% 0.62/1.04 cnf('0.103.0.0',plain,
% 0.62/1.04 ( rd(mult(X1,mult(X2,X2)),X2) = mult(X1,X2) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.25.2.0'])).
% 0.62/1.04 cnf('0.103.0.1',plain,
% 0.62/1.04 ( rd(ld(mult(X2,X2),X1),X2) = mult(X1,X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.103.0.0','0.96.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.103.1.0',plain,
% 0.62/1.04 ( rd(ld(mult(X2,X2),X1),X2) = mult(X1,X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.103.0.1']),
% 0.62/1.04 [weight('<87,25,96,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.103.2.0',plain,
% 0.62/1.04 ( rd(ld(mult(X1,X1),X2),X1) = mult(X2,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_102]).
% 0.62/1.04 cnf('0.105.0.0',plain,
% 0.62/1.04 ( ld(mult(X1,X1),ld(X1,X2)) = mult(X1,X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.99.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.105.1.0',plain,
% 0.62/1.04 ( ld(mult(X1,X1),ld(X1,X2)) = mult(X1,X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.105.0.0']),
% 0.62/1.04 [weight('<87,99,1,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.105.2.0',plain,
% 0.62/1.04 ( ld(mult(X1,X1),ld(X1,X2)) = mult(X1,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_104]).
% 0.62/1.04 cnf('0.106.0.0',plain,
% 0.62/1.04 ( rd(ld(X1,X2),X1) = mult(mult(X1,X2),X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.37.2.0','0.105.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.106.1.0',plain,
% 0.62/1.04 ( rd(ld(X1,X2),X1) = mult(mult(X1,X2),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.106.0.0']),
% 0.62/1.04 [weight('<65,105,37,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.106.2.0',plain,
% 0.62/1.04 ( mult(mult(X1,X2),X1) = rd(ld(X1,X2),X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_105]).
% 0.62/1.04 cnf('0.107.0.0',plain,
% 0.62/1.04 ( mult(mult(mult(X1,X2),X2),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.8.2.0'])).
% 0.62/1.04 cnf('0.107.0.1',plain,
% 0.62/1.04 ( mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.107.0.0','0.18.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.107.1.0',plain,
% 0.62/1.04 ( mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.107.0.1']),
% 0.62/1.04 [weight('<?,8,18,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.107.1.1',plain,
% 0.62/1.04 ( mult(ld(mult(X2,X2),X1),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.107.1.0','0.96.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.107.1.2',plain,
% 0.62/1.04 ( mult(ld(mult(X2,X2),X1),X3) = mult(X1,ld(mult(X2,X2),X3)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.107.1.1','0.99.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2','L')]).
% 0.62/1.04 cnf('0.107.2.0',plain,
% 0.62/1.04 ( mult(ld(mult(X1,X1),X2),X3) = mult(X2,ld(mult(X1,X1),X3)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.107.1.2',theory(equality)]),
% 0.62/1.04 [u,rule_106]).
% 0.62/1.04 cnf('0.108.0.0',plain,
% 0.62/1.04 ( mult(ld(mult(X1,X1),X2),X1) = rd(X2,X1) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.37.2.0'])).
% 0.62/1.04 cnf('0.108.0.1',plain,
% 0.62/1.04 ( mult(X2,ld(mult(X1,X1),X1)) = rd(X2,X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.108.0.0','0.107.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.108.0.2',plain,
% 0.62/1.04 ( mult(X2,ld(X1,unit)) = rd(X2,X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.108.0.1','0.92.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.108.1.0',plain,
% 0.62/1.04 ( mult(X2,ld(X1,unit)) = rd(X2,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.108.0.2']),
% 0.62/1.04 [weight('<53,37,107,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.108.2.0',plain,
% 0.62/1.04 ( mult(X1,ld(X2,unit)) = rd(X1,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_107]).
% 0.62/1.04 cnf('0.109.0.0',plain,
% 0.62/1.04 ( ld(X1,unit) = ld(X2,rd(X2,X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.6.2.0','0.108.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.109.1.0',plain,
% 0.62/1.04 ( ld(X1,unit) = ld(X2,rd(X2,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.109.0.0']),
% 0.62/1.04 [weight('<53,108,6,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.109.2.0',plain,
% 0.62/1.04 ( ld(X1,rd(X1,X2)) = ld(X2,unit) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_108]).
% 0.62/1.04 cnf('0.110.0.0',plain,
% 0.62/1.04 ( rd(X1,rd(unit,X2)) = mult(X1,X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.108.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.110.0.1',plain,
% 0.62/1.04 ( rd(X1,ld(X2,unit)) = mult(X1,X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.110.0.0','0.89.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.110.1.0',plain,
% 0.62/1.04 ( rd(X1,ld(X2,unit)) = mult(X1,X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.110.0.1']),
% 0.62/1.04 [weight('<53,108,15,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.110.2.0',plain,
% 0.62/1.04 ( rd(X1,ld(X2,unit)) = mult(X1,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_109]).
% 0.62/1.04 cnf('0.111.0.0',plain,
% 0.62/1.04 ( ld(X1,unit) = ld(mult(X2,X1),X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.109.2.0','0.5.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.111.1.0',plain,
% 0.62/1.04 ( ld(X1,unit) = ld(mult(X2,X1),X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.111.0.0']),
% 0.62/1.04 [weight('<53,109,5,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.111.2.0',plain,
% 0.62/1.04 ( ld(mult(X1,X2),X1) = ld(X2,unit) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_110]).
% 0.62/1.04 cnf('0.112.0.0',plain,
% 0.62/1.04 ( ld(ld(X1,X2),unit) = ld(X2,X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.109.2.0','0.14.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.112.1.0',plain,
% 0.62/1.04 ( ld(ld(X1,X2),unit) = ld(X2,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.112.0.0']),
% 0.62/1.04 [weight('<53,109,14,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.112.2.0',plain,
% 0.62/1.04 ( ld(ld(X1,X2),unit) = ld(X2,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_111]).
% 0.62/1.04 cnf('0.113.0.0',plain,
% 0.62/1.04 ( mult(ld(X1,X2),X1) = rd(mult(X1,X2),X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.103.2.0','0.105.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.113.1.0',plain,
% 0.62/1.04 ( mult(ld(X1,X2),X1) = rd(mult(X1,X2),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.113.0.0']),
% 0.62/1.04 [weight('<65,105,103,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.113.2.0',plain,
% 0.62/1.04 ( mult(ld(X1,X2),X1) = rd(mult(X1,X2),X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_112]).
% 0.62/1.04 cnf('0.114.0.0',plain,
% 0.62/1.04 ( rd(X1,ld(X2,X3)) = mult(X1,ld(X3,X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.108.2.0','0.112.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.114.1.0',plain,
% 0.62/1.04 ( rd(X1,ld(X2,X3)) = mult(X1,ld(X3,X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.114.0.0']),
% 0.62/1.04 [weight('<65,112,108,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.114.2.0',plain,
% 0.62/1.04 ( mult(X1,ld(X2,X3)) = rd(X1,ld(X3,X2)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_113]).
% 0.62/1.04 cnf('0.115.0.0',plain,
% 0.62/1.04 ( mult(X1,X2) = ld(X1,ld(mult(X1,X1),X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.6.2.0','0.99.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.115.1.0',plain,
% 0.62/1.04 ( mult(X1,X2) = ld(X1,ld(mult(X1,X1),X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.115.0.0']),
% 0.62/1.04 [weight('<87,99,6,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.115.2.0',plain,
% 0.62/1.04 ( ld(X1,ld(mult(X1,X1),X2)) = mult(X1,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_114]).
% 0.62/1.04 cnf('0.116.0.0',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X1)) = ld(X1,rd(X2,X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.115.2.0','0.29.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.116.1.0',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X1)) = ld(X1,rd(X2,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.116.0.0']),
% 0.62/1.04 [weight('<65,115,29,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.116.2.0',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X1)) = ld(X1,rd(X2,X1)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_115]).
% 0.62/1.04 cnf('0.118.0.0',plain,
% 0.62/1.04 ( mult(X1,X1) = ld(mult(X2,X1),rd(X2,X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.101.2.0','0.29.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.118.1.0',plain,
% 0.62/1.04 ( mult(X1,X1) = ld(mult(X2,X1),rd(X2,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.118.0.0']),
% 0.62/1.04 [weight('<87,101,29,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.118.2.0',plain,
% 0.62/1.04 ( ld(mult(X1,X2),rd(X1,X2)) = mult(X2,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.118.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_117]).
% 0.62/1.04 cnf('0.121.0.0',plain,
% 0.62/1.04 ( mult(X1,X1) = rd(mult(X1,X2),ld(X1,X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.98.2.0','0.105.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.121.1.0',plain,
% 0.62/1.04 ( mult(X1,X1) = rd(mult(X1,X2),ld(X1,X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.121.0.0']),
% 0.62/1.04 [weight('<87,105,98,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.121.2.0',plain,
% 0.62/1.04 ( rd(mult(X1,X2),ld(X1,X2)) = mult(X1,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.121.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_120]).
% 0.62/1.04 cnf('0.122.0.0',plain,
% 0.62/1.04 ( mult(X1,X1) = ld(ld(X1,X2),mult(X1,X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.101.2.0','0.105.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.122.1.0',plain,
% 0.62/1.04 ( mult(X1,X1) = ld(ld(X1,X2),mult(X1,X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.122.0.0']),
% 0.62/1.04 [weight('<87,105,101,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.122.2.0',plain,
% 0.62/1.04 ( ld(ld(X1,X2),mult(X1,X2)) = mult(X1,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.122.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_121]).
% 0.62/1.04 cnf('0.123.0.0',plain,
% 0.62/1.04 ( ld(mult(X1,X1),mult(X1,X2)) = mult(rd(ld(X1,X2),X1),X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.97.2.0','0.106.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.123.0.1',plain,
% 0.62/1.04 ( ld(mult(X1,X1),mult(X1,X2)) = ld(X1,X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.123.0.0','0.4.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.123.1.0',plain,
% 0.62/1.04 ( ld(mult(X1,X1),mult(X1,X2)) = ld(X1,X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.123.0.1']),
% 0.62/1.04 [weight('<87,106,97,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.123.2.0',plain,
% 0.62/1.04 ( ld(mult(X1,X1),mult(X1,X2)) = ld(X1,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.123.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_122]).
% 0.62/1.04 cnf('0.124.0.0',plain,
% 0.62/1.04 ( mult(X1,mult(X1,X2)) = ld(X1,ld(X1,X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.115.2.0','0.123.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.124.0.1',plain,
% 0.62/1.04 ( ld(mult(X1,X1),X2) = ld(X1,ld(X1,X2)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.124.0.0','0.99.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.124.1.0',plain,
% 0.62/1.04 ( ld(mult(X1,X1),X2) = ld(X1,ld(X1,X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.124.0.1']),
% 0.62/1.04 [weight('<65,123,115,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.124.2.0',plain,
% 0.62/1.04 ( ld(mult(X1,X1),X2) = ld(X1,ld(X1,X2)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.124.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_123]).
% 0.62/1.04 cnf('0.125.0.0',plain,
% 0.62/1.04 ( rd(X1,mult(X2,X2)) = ld(mult(X2,X2),X1) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.27.2.0'])).
% 0.62/1.04 cnf('0.125.0.1',plain,
% 0.62/1.04 ( rd(X1,mult(X2,X2)) = ld(X2,ld(X2,X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.125.0.0','0.124.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.125.1.0',plain,
% 0.62/1.04 ( rd(X1,mult(X2,X2)) = ld(X2,ld(X2,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.125.0.1']),
% 0.62/1.04 [weight('<65,27,124,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.125.2.0',plain,
% 0.62/1.04 ( rd(X1,mult(X2,X2)) = ld(X2,ld(X2,X1)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.125.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_124]).
% 0.62/1.04 cnf('0.127.0.0',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X2)) = ld(mult(X2,X2),X1) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.96.2.0'])).
% 0.62/1.04 cnf('0.127.0.1',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X2)) = ld(X2,ld(X2,X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.127.0.0','0.124.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.127.1.0',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X2)) = ld(X2,ld(X2,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.127.0.1']),
% 0.62/1.04 [weight('<65,96,124,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.127.2.0',plain,
% 0.62/1.04 ( mult(X1,mult(X2,X2)) = ld(X2,ld(X2,X1)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.127.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_126]).
% 0.62/1.04 cnf('0.129.0.0',plain,
% 0.62/1.04 ( mult(X1,mult(X1,X2)) = ld(mult(X1,X1),X2) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.99.2.0'])).
% 0.62/1.04 cnf('0.129.0.1',plain,
% 0.62/1.04 ( mult(X1,mult(X1,X2)) = ld(X1,ld(X1,X2)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.129.0.0','0.124.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.129.1.0',plain,
% 0.62/1.04 ( mult(X1,mult(X1,X2)) = ld(X1,ld(X1,X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.129.0.1']),
% 0.62/1.04 [weight('<65,99,124,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.129.2.0',plain,
% 0.62/1.04 ( mult(X1,mult(X1,X2)) = ld(X1,ld(X1,X2)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.129.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_128]).
% 0.62/1.04 cnf('0.131.0.0',plain,
% 0.62/1.04 ( ld(X1,mult(X2,X2)) = ld(ld(X2,ld(X2,X1)),unit) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.112.2.0','0.124.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.131.0.1',plain,
% 0.62/1.04 ( ld(X1,mult(X2,X2)) = ld(ld(X2,X1),X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.131.0.0','0.112.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.131.1.0',plain,
% 0.62/1.04 ( ld(X1,mult(X2,X2)) = ld(ld(X2,X1),X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.131.0.1']),
% 0.62/1.04 [weight('<65,124,112,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.131.2.0',plain,
% 0.62/1.04 ( ld(ld(X1,X2),X1) = ld(X2,mult(X1,X1)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_130]).
% 0.62/1.04 cnf('0.134.0.0',plain,
% 0.62/1.04 ( rd(ld(mult(X1,X1),X2),X2) = mult(X1,X1) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.98.2.0'])).
% 0.62/1.04 cnf('0.134.0.1',plain,
% 0.62/1.04 ( rd(ld(X1,ld(X1,X2)),X2) = mult(X1,X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.134.0.0','0.124.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.134.1.0',plain,
% 0.62/1.04 ( rd(ld(X1,ld(X1,X2)),X2) = mult(X1,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.134.0.1']),
% 0.62/1.04 [weight('<87,98,124,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.134.2.0',plain,
% 0.62/1.04 ( rd(ld(X1,ld(X1,X2)),X2) = mult(X1,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.134.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_133]).
% 0.62/1.04 cnf('0.138.0.0',plain,
% 0.62/1.04 ( ld(mult(X1,X1),ld(X1,X2)) = mult(X1,X2) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.105.2.0'])).
% 0.62/1.04 cnf('0.138.0.1',plain,
% 0.62/1.04 ( ld(X1,ld(X1,ld(X1,X2))) = mult(X1,X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.138.0.0','0.124.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.138.1.0',plain,
% 0.62/1.04 ( ld(X1,ld(X1,ld(X1,X2))) = mult(X1,X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.138.0.1']),
% 0.62/1.04 [weight('<87,105,124,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.138.2.0',plain,
% 0.62/1.04 ( ld(X1,ld(X1,ld(X1,X2))) = mult(X1,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.138.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_137]).
% 0.62/1.04 cnf('0.139.0.0',plain,
% 0.62/1.04 ( ld(ld(X1,X2),unit) = ld(mult(X1,X2),mult(X1,X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.109.2.0','0.121.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.139.0.1',plain,
% 0.62/1.04 ( ld(X2,X1) = ld(mult(X1,X2),mult(X1,X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.139.0.0','0.112.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.139.1.0',plain,
% 0.62/1.04 ( ld(X2,X1) = ld(mult(X1,X2),mult(X1,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.139.0.1']),
% 0.62/1.04 [weight('<87,121,109,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.139.2.0',plain,
% 0.62/1.04 ( ld(mult(X1,X2),mult(X1,X1)) = ld(X2,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.139.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_138]).
% 0.62/1.04 cnf('0.140.0.0',plain,
% 0.62/1.04 ( mult(X1,X1) = rd(mult(X1,rd(X1,X2)),ld(X2,unit)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.121.2.0','0.109.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.140.0.1',plain,
% 0.62/1.04 ( mult(X1,X1) = mult(mult(X1,rd(X1,X2)),X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.140.0.0','0.110.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.140.1.0',plain,
% 0.62/1.04 ( mult(X1,X1) = mult(mult(X1,rd(X1,X2)),X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.140.0.1']),
% 0.62/1.04 [weight('<87,121,109,[1,0,0,4]>')]).
% 0.62/1.04 cnf('0.140.2.0',plain,
% 0.62/1.04 ( mult(mult(X1,rd(X1,X2)),X2) = mult(X1,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.140.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_139]).
% 0.62/1.04 cnf('0.141.0.0',plain,
% 0.62/1.04 ( mult(X1,rd(X1,X2)) = rd(mult(X1,X1),X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.5.2.0','0.140.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.141.1.0',plain,
% 0.62/1.04 ( mult(X1,rd(X1,X2)) = rd(mult(X1,X1),X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.141.0.0']),
% 0.62/1.04 [weight('<65,140,5,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.141.2.0',plain,
% 0.62/1.04 ( mult(X1,rd(X1,X2)) = rd(mult(X1,X1),X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_140]).
% 0.62/1.04 cnf('0.143.0.0',plain,
% 0.62/1.04 ( ld(X1,X2) = rd(X1,ld(X2,mult(X1,X1))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.14.2.0','0.131.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.143.1.0',plain,
% 0.62/1.04 ( ld(X1,X2) = rd(X1,ld(X2,mult(X1,X1))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.143.0.0']),
% 0.62/1.04 [weight('<87,131,14,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.143.2.0',plain,
% 0.62/1.04 ( rd(X1,ld(X2,mult(X1,X1))) = ld(X1,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.143.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_142]).
% 0.62/1.04 cnf('0.145.0.0',plain,
% 0.62/1.04 ( rd(mult(mult(X1,X2),mult(X1,X1)),mult(X1,X2)) = mult(ld(X2,X1),mult(X1,X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.113.2.0','0.139.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.145.0.1',plain,
% 0.62/1.04 ( rd(ld(X1,ld(X1,mult(X1,X2))),mult(X1,X2)) = mult(ld(X2,X1),mult(X1,X2)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.145.0.0','0.127.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.145.0.2',plain,
% 0.62/1.04 ( mult(X1,X1) = mult(ld(X2,X1),mult(X1,X2)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.145.0.1','0.134.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.145.1.0',plain,
% 0.62/1.04 ( mult(X1,X1) = mult(ld(X2,X1),mult(X1,X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.145.0.2']),
% 0.62/1.04 [weight('<87,139,113,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.145.2.0',plain,
% 0.62/1.04 ( mult(ld(X1,X2),mult(X2,X1)) = mult(X2,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.145.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_144]).
% 0.62/1.04 cnf('0.146.0.0',plain,
% 0.62/1.04 ( rd(X1,X2) = ld(X1,rd(mult(X1,X1),X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.6.2.0','0.141.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.146.1.0',plain,
% 0.62/1.04 ( rd(X1,X2) = ld(X1,rd(mult(X1,X1),X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.146.0.0']),
% 0.62/1.04 [weight('<87,141,6,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.146.2.0',plain,
% 0.62/1.04 ( ld(X1,rd(mult(X1,X1),X2)) = rd(X1,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.146.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_145]).
% 0.62/1.04 cnf('0.147.0.0',plain,
% 0.62/1.04 ( ld(X1,X2) = rd(mult(X2,X2),mult(X2,X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.5.2.0','0.145.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.147.1.0',plain,
% 0.62/1.04 ( ld(X1,X2) = rd(mult(X2,X2),mult(X2,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.147.0.0']),
% 0.62/1.04 [weight('<87,145,5,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.147.2.0',plain,
% 0.62/1.04 ( rd(mult(X1,X1),mult(X1,X2)) = ld(X2,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_146]).
% 0.62/1.04 cnf('0.148.0.0',plain,
% 0.62/1.04 ( rd(X1,mult(X1,X2)) = ld(X1,ld(X2,X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.146.2.0','0.147.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.148.1.0',plain,
% 0.62/1.04 ( rd(X1,mult(X1,X2)) = ld(X1,ld(X2,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.148.0.0']),
% 0.62/1.04 [weight('<65,147,146,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.148.2.0',plain,
% 0.62/1.04 ( rd(X1,mult(X1,X2)) = ld(X1,ld(X2,X1)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.148.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_147]).
% 0.62/1.04 cnf('0.149.0.0',plain,
% 0.62/1.04 ( mult(X1,X2) = ld(ld(X2,X1),mult(X1,X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.6.2.0','0.145.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.149.1.0',plain,
% 0.62/1.04 ( mult(X1,X2) = ld(ld(X2,X1),mult(X1,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.149.0.0']),
% 0.62/1.04 [weight('<87,145,6,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.149.2.0',plain,
% 0.62/1.04 ( ld(ld(X1,X2),mult(X2,X2)) = mult(X2,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.149.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_148]).
% 0.62/1.04 cnf('0.150.0.0',plain,
% 0.62/1.04 ( mult(X1,rd(X1,X2)) = ld(X2,mult(X1,X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.149.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.150.0.1',plain,
% 0.62/1.04 ( rd(mult(X1,X1),X2) = ld(X2,mult(X1,X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.150.0.0','0.141.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.150.1.0',plain,
% 0.62/1.04 ( rd(mult(X1,X1),X2) = ld(X2,mult(X1,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.150.0.1']),
% 0.62/1.04 [weight('<65,149,15,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.150.2.0',plain,
% 0.62/1.04 ( rd(mult(X1,X1),X2) = ld(X2,mult(X1,X1)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.150.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_149]).
% 0.62/1.04 cnf('0.151.0.0',plain,
% 0.62/1.04 ( mult(X1,rd(X1,X2)) = rd(mult(X1,X1),X2) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.141.2.0'])).
% 0.62/1.04 cnf('0.151.0.1',plain,
% 0.62/1.04 ( mult(X1,rd(X1,X2)) = ld(X2,mult(X1,X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.151.0.0','0.150.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.151.1.0',plain,
% 0.62/1.04 ( mult(X1,rd(X1,X2)) = ld(X2,mult(X1,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.151.0.1']),
% 0.62/1.04 [weight('<65,141,150,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.151.2.0',plain,
% 0.62/1.04 ( mult(X1,rd(X1,X2)) = ld(X2,mult(X1,X1)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.151.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_150]).
% 0.62/1.04 cnf('0.152.0.0',plain,
% 0.62/1.04 ( ld(X1,rd(mult(X1,X1),X2)) = rd(X1,X2) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.146.2.0'])).
% 0.62/1.04 cnf('0.152.0.1',plain,
% 0.62/1.04 ( ld(X1,ld(X2,mult(X1,X1))) = rd(X1,X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.152.0.0','0.150.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.152.1.0',plain,
% 0.62/1.04 ( ld(X1,ld(X2,mult(X1,X1))) = rd(X1,X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.152.0.1']),
% 0.62/1.04 [weight('<87,146,150,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.152.2.0',plain,
% 0.62/1.04 ( ld(X1,ld(X2,mult(X1,X1))) = rd(X1,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_151]).
% 0.62/1.04 cnf('0.153.0.0',plain,
% 0.62/1.04 ( ld(rd(X1,X2),unit) = ld(mult(X1,X2),mult(X2,X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.109.2.0','0.36.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.153.1.0',plain,
% 0.62/1.04 ( ld(rd(X1,X2),unit) = ld(mult(X1,X2),mult(X2,X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.153.0.0']),
% 0.62/1.04 [weight('<103,109,36,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.153.2.0',plain,
% 0.62/1.04 ( ld(mult(X1,X2),mult(X2,X2)) = ld(rd(X1,X2),unit) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_152]).
% 0.62/1.04 cnf('0.155.0.0',plain,
% 0.62/1.04 ( rd(mult(X1,rd(X1,X2)),X1) = mult(ld(X2,unit),X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.113.2.0','0.109.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.155.1.0',plain,
% 0.62/1.04 ( rd(mult(X1,rd(X1,X2)),X1) = mult(ld(X2,unit),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.155.0.0']),
% 0.62/1.04 [weight('<103,113,109,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.155.1.1',plain,
% 0.62/1.04 ( rd(ld(X2,mult(X1,X1)),X1) = mult(ld(X2,unit),X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.155.1.0','0.151.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.155.2.0',plain,
% 0.62/1.04 ( rd(ld(X1,mult(X2,X2)),X2) = mult(ld(X1,unit),X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.155.1.1',theory(equality)]),
% 0.62/1.04 [u,rule_154]).
% 0.62/1.04 cnf('0.157.0.0',plain,
% 0.62/1.04 ( ld(rd(X1,X2),mult(X1,X1)) = ld(ld(X2,unit),X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.131.2.0','0.109.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.157.1.0',plain,
% 0.62/1.04 ( ld(rd(X1,X2),mult(X1,X1)) = ld(ld(X2,unit),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.157.0.0']),
% 0.62/1.04 [weight('<103,131,109,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.157.2.0',plain,
% 0.62/1.04 ( ld(rd(X1,X2),mult(X1,X1)) = ld(ld(X2,unit),X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_156]).
% 0.62/1.04 cnf('0.159.0.0',plain,
% 0.62/1.04 ( mult(X1,rd(X1,X2)) = ld(X1,ld(X1,ld(X2,unit))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.138.2.0','0.109.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2.2','L')]).
% 0.62/1.04 cnf('0.159.1.0',plain,
% 0.62/1.04 ( mult(X1,rd(X1,X2)) = ld(X1,ld(X1,ld(X2,unit))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.159.0.0']),
% 0.62/1.04 [weight('<103,138,109,[1,0,0,4]>')]).
% 0.62/1.04 cnf('0.159.1.1',plain,
% 0.62/1.04 ( ld(X2,mult(X1,X1)) = ld(X1,ld(X1,ld(X2,unit))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.159.1.0','0.151.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.159.2.0',plain,
% 0.62/1.04 ( ld(X1,ld(X1,ld(X2,unit))) = ld(X2,mult(X1,X1)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.159.1.1',theory(equality)]),
% 0.62/1.04 [x,rule_158]).
% 0.62/1.04 cnf('0.161.0.0',plain,
% 0.62/1.04 ( ld(X1,ld(mult(X1,X2),X1)) = rd(X1,ld(X1,ld(X1,X2))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.148.2.0','0.129.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.161.0.1',plain,
% 0.62/1.04 ( ld(X1,ld(X2,unit)) = rd(X1,ld(X1,ld(X1,X2))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.161.0.0','0.111.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.161.1.0',plain,
% 0.62/1.04 ( ld(X1,ld(X2,unit)) = rd(X1,ld(X1,ld(X1,X2))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.161.0.1']),
% 0.62/1.04 [weight('<103,148,129,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.161.2.0',plain,
% 0.62/1.04 ( rd(X1,ld(X1,ld(X1,X2))) = ld(X1,ld(X2,unit)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.161.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_160]).
% 0.62/1.04 cnf('0.167.0.0',plain,
% 0.62/1.04 ( mult(ld(mult(X1,X2),unit),X1) = rd(ld(X2,X1),X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.155.2.0','0.139.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.167.1.0',plain,
% 0.62/1.04 ( mult(ld(mult(X1,X2),unit),X1) = rd(ld(X2,X1),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.167.0.0']),
% 0.62/1.04 [weight('<103,155,139,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.167.2.0',plain,
% 0.62/1.04 ( mult(ld(mult(X1,X2),unit),X1) = rd(ld(X2,X1),X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.167.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_166]).
% 0.62/1.04 cnf('0.170.0.0',plain,
% 0.62/1.04 ( rd(X1,rd(X1,X2)) = ld(X1,ld(ld(X2,unit),X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.152.2.0','0.157.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.170.1.0',plain,
% 0.62/1.04 ( rd(X1,rd(X1,X2)) = ld(X1,ld(ld(X2,unit),X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.170.0.0']),
% 0.62/1.04 [weight('<103,157,152,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.170.2.0',plain,
% 0.62/1.04 ( ld(X1,ld(ld(X2,unit),X1)) = rd(X1,rd(X1,X2)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.170.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_169]).
% 0.62/1.04 cnf('0.182.0.0',plain,
% 0.62/1.04 ( mult(ld(X1,X2),ld(X1,X2)) = ld(X1,mult(X2,ld(X1,X2))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.34.2.0','0.14.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.182.1.0',plain,
% 0.62/1.04 ( mult(ld(X1,X2),ld(X1,X2)) = ld(X1,mult(X2,ld(X1,X2))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.182.0.0']),
% 0.62/1.04 [weight('<119,34,14,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.182.1.1',plain,
% 0.62/1.04 ( rd(ld(X1,X2),ld(X2,X1)) = ld(X1,mult(X2,ld(X1,X2))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.182.1.0','0.114.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.182.1.2',plain,
% 0.62/1.04 ( rd(ld(X1,X2),ld(X2,X1)) = ld(X1,rd(X2,ld(X2,X1))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.182.1.1','0.114.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2','L')]).
% 0.62/1.04 cnf('0.182.2.0',plain,
% 0.62/1.04 ( rd(ld(X1,X2),ld(X2,X1)) = ld(X1,rd(X2,ld(X2,X1))) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.182.1.2',theory(equality)]),
% 0.62/1.04 [u,rule_181]).
% 0.62/1.04 cnf('0.184.0.0',plain,
% 0.62/1.04 ( mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.86.2.0'])).
% 0.62/1.04 cnf('0.184.0.1',plain,
% 0.62/1.04 ( mult(ld(mult(X2,X2),X1),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.184.0.0','0.96.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.184.1.0',plain,
% 0.62/1.04 ( mult(ld(mult(X2,X2),X1),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.184.0.1']),
% 0.62/1.04 [weight('<119,86,96,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.184.1.1',plain,
% 0.62/1.04 ( mult(ld(X2,ld(X2,X1)),X3) = mult(X1,mult(X2,mult(X2,X3))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.184.1.0','0.124.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.184.1.2',plain,
% 0.62/1.04 ( mult(ld(X2,ld(X2,X1)),X3) = mult(X1,ld(X2,ld(X2,X3))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.184.1.1','0.129.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2','L')]).
% 0.62/1.04 cnf('0.184.1.3',plain,
% 0.62/1.04 ( mult(ld(X2,ld(X2,X1)),X3) = rd(X1,ld(ld(X2,X3),X2)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.184.1.2','0.114.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.184.1.4',plain,
% 0.62/1.04 ( mult(ld(X2,ld(X2,X1)),X3) = rd(X1,ld(X3,mult(X2,X2))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.184.1.3','0.131.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2','L')]).
% 0.62/1.04 cnf('0.184.2.0',plain,
% 0.62/1.04 ( mult(ld(X1,ld(X1,X2)),X3) = rd(X2,ld(X3,mult(X1,X1))) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.184.1.4',theory(equality)]),
% 0.62/1.04 [u,rule_183]).
% 0.62/1.04 cnf('0.185.0.0',plain,
% 0.62/1.04 ( rd(X1,ld(X2,mult(X1,X1))) = mult(ld(X1,unit),X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.184.2.0','0.13.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1.2','L')]).
% 0.62/1.04 cnf('0.185.0.1',plain,
% 0.62/1.04 ( ld(X1,X2) = mult(ld(X1,unit),X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.185.0.0','0.143.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.185.1.0',plain,
% 0.62/1.04 ( ld(X1,X2) = mult(ld(X1,unit),X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.185.0.1']),
% 0.62/1.04 [weight('<53,184,13,[1,0,0,3]>')]).
% 0.62/1.04 cnf('0.185.2.0',plain,
% 0.62/1.04 ( mult(ld(X1,unit),X2) = ld(X1,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.185.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_184]).
% 0.62/1.04 cnf('0.186.0.0',plain,
% 0.62/1.04 ( mult(ld(mult(X1,X2),unit),X1) = rd(ld(X2,X1),X1) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.167.2.0'])).
% 0.62/1.04 cnf('0.186.0.1',plain,
% 0.62/1.04 ( ld(mult(X1,X2),X1) = rd(ld(X2,X1),X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.186.0.0','0.185.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.186.0.2',plain,
% 0.62/1.04 ( ld(X2,unit) = rd(ld(X2,X1),X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.186.0.1','0.111.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.186.1.0',plain,
% 0.62/1.04 ( ld(X2,unit) = rd(ld(X2,X1),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.186.0.2']),
% 0.62/1.04 [weight('<53,167,185,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.186.2.0',plain,
% 0.62/1.04 ( rd(ld(X1,X2),X2) = ld(X1,unit) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.186.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_185]).
% 0.62/1.04 cnf('0.187.0.0',plain,
% 0.62/1.04 ( rd(ld(X1,unit),ld(X2,mult(ld(X1,unit),ld(X1,unit)))) = mult(rd(ld(X1,unit),rd(ld(X1,unit),X1)),X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.184.2.0','0.170.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.187.0.1',plain,
% 0.62/1.04 ( ld(ld(X1,unit),X2) = mult(rd(ld(X1,unit),rd(ld(X1,unit),X1)),X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.187.0.0','0.143.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.187.0.2',plain,
% 0.62/1.04 ( ld(ld(X1,unit),X2) = mult(rd(ld(X1,unit),mult(X1,X1)),X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.187.0.1','0.21.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.1.2','L')]).
% 0.62/1.04 cnf('0.187.0.3',plain,
% 0.62/1.04 ( ld(ld(X1,unit),X2) = mult(ld(X1,ld(X1,ld(X1,unit))),X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.187.0.2','0.125.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.1','L')]).
% 0.62/1.04 cnf('0.187.0.4',plain,
% 0.62/1.04 ( ld(ld(X1,unit),X2) = mult(ld(X1,mult(X1,X1)),X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.187.0.3','0.159.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.1','L')]).
% 0.62/1.04 cnf('0.187.0.5',plain,
% 0.62/1.04 ( ld(ld(X1,unit),X2) = mult(X1,X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.187.0.4','0.6.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.1','L')]).
% 0.62/1.04 cnf('0.187.1.0',plain,
% 0.62/1.04 ( ld(ld(X1,unit),X2) = mult(X1,X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.187.0.5']),
% 0.62/1.04 [weight('<53,184,170,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.187.2.0',plain,
% 0.62/1.04 ( ld(ld(X1,unit),X2) = mult(X1,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_186]).
% 0.62/1.04 cnf('0.189.0.0',plain,
% 0.62/1.04 ( ld(rd(X1,X2),unit) = rd(X2,X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.186.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.189.1.0',plain,
% 0.62/1.04 ( ld(rd(X1,X2),unit) = rd(X2,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.189.0.0']),
% 0.62/1.04 [weight('<53,186,15,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.189.2.0',plain,
% 0.62/1.04 ( ld(rd(X1,X2),unit) = rd(X2,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.189.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_188]).
% 0.62/1.04 cnf('0.191.0.0',plain,
% 0.62/1.04 ( ld(ld(X1,X2),X3) = mult(ld(X2,X1),X3) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.185.2.0','0.112.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.191.1.0',plain,
% 0.62/1.04 ( ld(ld(X1,X2),X3) = mult(ld(X2,X1),X3) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.191.0.0']),
% 0.62/1.04 [weight('<65,185,112,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.191.2.0',plain,
% 0.62/1.04 ( mult(ld(X1,X2),X3) = ld(ld(X2,X1),X3) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.191.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_190]).
% 0.62/1.04 cnf('0.196.0.0',plain,
% 0.62/1.04 ( mult(X1,rd(X2,X3)) = rd(X1,rd(X3,X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.110.2.0','0.189.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.196.1.0',plain,
% 0.62/1.04 ( mult(X1,rd(X2,X3)) = rd(X1,rd(X3,X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.196.0.0']),
% 0.62/1.04 [weight('<65,189,110,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.196.2.0',plain,
% 0.62/1.04 ( mult(X1,rd(X2,X3)) = rd(X1,rd(X3,X2)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.196.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_195]).
% 0.62/1.04 cnf('0.198.0.0',plain,
% 0.62/1.04 ( mult(rd(X1,X2),X3) = ld(rd(X2,X1),X3) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.187.2.0','0.189.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.198.1.0',plain,
% 0.62/1.04 ( mult(rd(X1,X2),X3) = ld(rd(X2,X1),X3) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.198.0.0']),
% 0.62/1.04 [weight('<65,189,187,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.198.2.0',plain,
% 0.62/1.04 ( mult(rd(X1,X2),X3) = ld(rd(X2,X1),X3) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.198.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_197]).
% 0.62/1.04 cnf('0.200.0.0',plain,
% 0.62/1.04 ( ld(mult(X1,X2),mult(X2,X2)) = ld(rd(X1,X2),unit) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.153.2.0'])).
% 0.62/1.04 cnf('0.200.0.1',plain,
% 0.62/1.04 ( ld(mult(X1,X2),mult(X2,X2)) = rd(X2,X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.200.0.0','0.189.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.200.1.0',plain,
% 0.62/1.04 ( ld(mult(X1,X2),mult(X2,X2)) = rd(X2,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.200.0.1']),
% 0.62/1.04 [weight('<87,153,189,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.200.2.0',plain,
% 0.62/1.04 ( ld(mult(X1,X2),mult(X2,X2)) = rd(X2,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.200.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_199]).
% 0.62/1.04 cnf('0.212.0.0',plain,
% 0.62/1.04 ( rd(X1,ld(X2,ld(X3,unit))) = mult(X1,mult(X3,X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.114.2.0','0.187.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.212.1.0',plain,
% 0.62/1.04 ( rd(X1,ld(X2,ld(X3,unit))) = mult(X1,mult(X3,X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.212.0.0']),
% 0.62/1.04 [weight('<103,187,114,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.212.2.0',plain,
% 0.62/1.04 ( rd(X1,ld(X2,ld(X3,unit))) = mult(X1,mult(X3,X2)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.212.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_211]).
% 0.62/1.04 cnf('0.213.0.0',plain,
% 0.62/1.04 ( ld(ld(X1,ld(X2,unit)),X3) = mult(mult(X2,X1),X3) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.191.2.0','0.187.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.213.1.0',plain,
% 0.62/1.04 ( ld(ld(X1,ld(X2,unit)),X3) = mult(mult(X2,X1),X3) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.213.0.0']),
% 0.62/1.04 [weight('<103,191,187,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.213.2.0',plain,
% 0.62/1.04 ( ld(ld(X1,ld(X2,unit)),X3) = mult(mult(X2,X1),X3) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.213.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_212]).
% 0.62/1.04 cnf('0.226.0.0',plain,
% 0.62/1.04 ( mult(ld(mult(X1,X1),X2),X3) = mult(X2,ld(mult(X1,X1),X3)) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.107.2.0'])).
% 0.62/1.04 cnf('0.226.0.1',plain,
% 0.62/1.04 ( mult(ld(mult(X1,X1),X2),X3) = rd(X2,ld(X3,mult(X1,X1))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.226.0.0','0.114.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.226.1.0',plain,
% 0.62/1.04 ( mult(ld(mult(X1,X1),X2),X3) = rd(X2,ld(X3,mult(X1,X1))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.226.0.1']),
% 0.62/1.04 [weight('<119,107,114,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.226.1.1',plain,
% 0.62/1.04 ( ld(ld(X2,mult(X1,X1)),X3) = rd(X2,ld(X3,mult(X1,X1))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.226.1.0','0.191.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.226.2.0',plain,
% 0.62/1.04 ( rd(X1,ld(X2,mult(X3,X3))) = ld(ld(X1,mult(X3,X3)),X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.226.1.1',theory(equality)]),
% 0.62/1.04 [x,rule_225]).
% 0.62/1.04 cnf('0.229.0.0',plain,
% 0.62/1.04 ( mult(ld(X1,X2),ld(X1,X2)) = ld(mult(X2,ld(X1,X2)),X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.118.2.0','0.14.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.229.0.1',plain,
% 0.62/1.04 ( rd(ld(X1,X2),ld(X2,X1)) = ld(mult(X2,ld(X1,X2)),X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.229.0.0','0.114.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.229.0.2',plain,
% 0.62/1.04 ( rd(ld(X1,X2),ld(X2,X1)) = ld(rd(X2,ld(X2,X1)),X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.229.0.1','0.114.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.1','L')]).
% 0.62/1.04 cnf('0.229.1.0',plain,
% 0.62/1.04 ( rd(ld(X1,X2),ld(X2,X1)) = ld(rd(X2,ld(X2,X1)),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.229.0.2']),
% 0.62/1.04 [weight('<119,118,14,[1,0,0,4]>')]).
% 0.62/1.04 cnf('0.229.1.1',plain,
% 0.62/1.04 ( ld(X1,rd(X2,ld(X2,X1))) = ld(rd(X2,ld(X2,X1)),X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.229.1.0','0.182.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.229.2.0',plain,
% 0.62/1.04 ( ld(rd(X1,ld(X1,X2)),X2) = ld(X2,rd(X1,ld(X1,X2))) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.229.1.1',theory(equality)]),
% 0.62/1.04 [x,rule_227]).
% 0.62/1.04 cnf('0.233.0.0',plain,
% 0.62/1.04 ( mult(mult(X1,X2),mult(X1,X2)) = rd(rd(ld(X1,X2),X1),ld(mult(X1,X2),X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.121.2.0','0.106.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.233.0.1',plain,
% 0.62/1.04 ( mult(mult(X1,X2),mult(X1,X2)) = rd(rd(ld(X1,X2),X1),ld(X2,unit)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.233.0.0','0.111.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2','L')]).
% 0.62/1.04 cnf('0.233.0.2',plain,
% 0.62/1.04 ( mult(mult(X1,X2),mult(X1,X2)) = mult(rd(ld(X1,X2),X1),X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.233.0.1','0.110.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.233.1.0',plain,
% 0.62/1.04 ( mult(mult(X1,X2),mult(X1,X2)) = mult(rd(ld(X1,X2),X1),X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.233.0.2']),
% 0.62/1.04 [weight('<119,121,106,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.233.1.1',plain,
% 0.62/1.04 ( mult(mult(X1,X2),mult(X1,X2)) = ld(rd(X1,ld(X1,X2)),X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.233.1.0','0.198.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.233.1.2',plain,
% 0.62/1.04 ( mult(mult(X1,X2),mult(X1,X2)) = ld(X2,rd(X1,ld(X1,X2))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.233.1.1','0.229.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.233.2.0',plain,
% 0.62/1.04 ( mult(mult(X1,X2),mult(X1,X2)) = ld(X2,rd(X1,ld(X1,X2))) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.233.1.2',theory(equality)]),
% 0.62/1.04 [u,rule_231]).
% 0.62/1.04 cnf('0.234.0.0',plain,
% 0.62/1.04 ( mult(rd(X1,X2),rd(X1,X2)) = ld(X2,mult(rd(X1,X2),X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.122.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.234.1.0',plain,
% 0.62/1.04 ( mult(rd(X1,X2),rd(X1,X2)) = ld(X2,mult(rd(X1,X2),X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.234.0.0']),
% 0.62/1.04 [weight('<119,122,15,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.234.1.1',plain,
% 0.62/1.04 ( ld(rd(X2,X1),rd(X1,X2)) = ld(X2,mult(rd(X1,X2),X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.234.1.0','0.198.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.234.1.2',plain,
% 0.62/1.04 ( ld(rd(X2,X1),rd(X1,X2)) = ld(X2,ld(rd(X2,X1),X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.234.1.1','0.198.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2','L')]).
% 0.62/1.04 cnf('0.234.2.0',plain,
% 0.62/1.04 ( ld(rd(X1,X2),rd(X2,X1)) = ld(X1,ld(rd(X1,X2),X2)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.234.1.2',theory(equality)]),
% 0.62/1.04 [u,rule_232]).
% 0.62/1.04 cnf('0.235.0.0',plain,
% 0.62/1.04 ( ld(X1,ld(rd(X1,ld(X1,ld(X1,X2))),ld(X1,ld(X1,X2)))) = ld(ld(X1,ld(X2,unit)),rd(ld(X1,ld(X1,X2)),X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.234.2.0','0.161.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.235.0.1',plain,
% 0.62/1.04 ( ld(X1,ld(ld(X1,ld(X2,unit)),ld(X1,ld(X1,X2)))) = ld(ld(X1,ld(X2,unit)),rd(ld(X1,ld(X1,X2)),X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.235.0.0','0.161.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2.1','L')]).
% 0.62/1.04 cnf('0.235.0.2',plain,
% 0.62/1.04 ( ld(X1,mult(mult(X2,X1),ld(X1,ld(X1,X2)))) = ld(ld(X1,ld(X2,unit)),rd(ld(X1,ld(X1,X2)),X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.235.0.1','0.213.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.235.0.3',plain,
% 0.62/1.04 ( ld(X1,rd(mult(X2,X1),ld(ld(X1,X2),X1))) = ld(ld(X1,ld(X2,unit)),rd(ld(X1,ld(X1,X2)),X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.235.0.2','0.114.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.235.0.4',plain,
% 0.62/1.04 ( ld(X1,rd(mult(X2,X1),ld(X2,mult(X1,X1)))) = ld(ld(X1,ld(X2,unit)),rd(ld(X1,ld(X1,X2)),X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.235.0.3','0.131.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2.2','L')]).
% 0.62/1.04 cnf('0.235.0.5',plain,
% 0.62/1.04 ( ld(X1,ld(ld(mult(X2,X1),mult(X1,X1)),X2)) = ld(ld(X1,ld(X2,unit)),rd(ld(X1,ld(X1,X2)),X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.235.0.4','0.226.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.235.0.6',plain,
% 0.62/1.04 ( ld(X1,ld(rd(X1,X2),X2)) = ld(ld(X1,ld(X2,unit)),rd(ld(X1,ld(X1,X2)),X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.235.0.5','0.200.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2.1','L')]).
% 0.62/1.04 cnf('0.235.0.7',plain,
% 0.62/1.04 ( ld(X1,ld(rd(X1,X2),X2)) = mult(mult(X2,X1),rd(ld(X1,ld(X1,X2)),X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.235.0.6','0.213.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.235.0.8',plain,
% 0.62/1.04 ( ld(X1,ld(rd(X1,X2),X2)) = rd(mult(X2,X1),rd(X1,ld(X1,ld(X1,X2)))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.235.0.7','0.196.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.235.0.9',plain,
% 0.62/1.04 ( ld(X1,ld(rd(X1,X2),X2)) = rd(mult(X2,X1),ld(X1,ld(X2,unit))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.235.0.8','0.161.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2','L')]).
% 0.62/1.04 cnf('0.235.0.10',plain,
% 0.62/1.04 ( ld(X1,ld(rd(X1,X2),X2)) = mult(mult(X2,X1),mult(X2,X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.235.0.9','0.212.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.235.0.11',plain,
% 0.62/1.04 ( ld(X1,ld(rd(X1,X2),X2)) = ld(X1,rd(X2,ld(X2,X1))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.235.0.10','0.233.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.235.1.0',plain,
% 0.62/1.04 ( ld(rd(X1,X2),X2) = rd(X2,ld(X2,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.235.0.11']),
% 0.62/1.04 [weight('<65,234,161,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.235.2.0',plain,
% 0.62/1.04 ( rd(X1,ld(X1,X2)) = ld(rd(X2,X1),X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.235.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_233]).
% 0.62/1.04 cnf('0.240.0.0',plain,
% 0.62/1.04 ( rd(ld(X1,X2),X1) = ld(ld(rd(X2,X1),X1),unit) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.189.2.0','0.235.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.240.0.1',plain,
% 0.62/1.04 ( rd(ld(X1,X2),X1) = ld(X1,rd(X2,X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.240.0.0','0.112.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.240.1.0',plain,
% 0.62/1.04 ( rd(ld(X1,X2),X1) = ld(X1,rd(X2,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.240.0.1']),
% 0.62/1.04 [weight('<65,235,189,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.240.2.0',plain,
% 0.62/1.04 ( rd(ld(X1,X2),X1) = ld(X1,rd(X2,X1)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.240.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_238]).
% 0.62/1.04 cnf('1.0.0.0',conjecture,
% 0.62/1.04 ( mult(mult(a,b),a) = mult(a,mult(b,a)) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_16745_n009',conjecture_1)).
% 0.62/1.04 cnf('1.0.0.1',plain,
% 0.62/1.04 ( rd(ld(a,b),a) = mult(a,mult(b,a)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['1.0.0.0','0.106.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('1.0.0.2',plain,
% 0.62/1.04 ( rd(ld(a,b),a) = ld(a,rd(b,a)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['1.0.0.1','0.116.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('1.0.0.3',plain,
% 0.62/1.04 ( ld(a,rd(b,a)) = ld(a,rd(b,a)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['1.0.0.2','0.240.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('1.0.0.4',plain,
% 0.62/1.04 ( $true ),
% 0.62/1.04 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.62/1.04 [conjecture_1]).
% 0.62/1.04
% 0.62/1.04 Proved Goals:
% 0.62/1.04 No. 1: mult(mult(a,b),a) ?= mult(a,mult(b,a)) joined, current: ld(a,rd(b,a)) = ld(a,rd(b,a))
% 0.62/1.04 1 goal was specified, which was proved.
% 0.62/1.04 % SZS output end CNFRefutation
% 0.62/1.04 #END OF PROOF
% 0.62/1.04
% 0.62/1.04 Problem WALDMEISTER_16745_n009
% 0.62/1.04 CPs.gen 10289
% 0.62/1.04 CPs.reexp 0
% 0.62/1.04 Select 748
% 0.62/1.04 R 238
% 0.62/1.04 E 2
% 0.62/1.04 vsize 6.5M
% 0.62/1.04 rss 3.8M
% 0.62/1.04 process.time 0.060s
% 0.62/1.04 wallclock.time 0.060s
% 0.62/1.04 status S
% 0.62/1.04
% 0.62/1.04
% 0.62/1.04 Waldmeister states: Goal proved.
% 0.62/1.04 % SZS status Unsatisfiable
%------------------------------------------------------------------------------