%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP721-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n021.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 12:28:15 EDT 2022
% Result : Unsatisfiable 126.73s 127.20s
% Output : CNFRefutation 126.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP721-1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12 % Command : woody %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 02:26:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.56/0.97 ********************************************************************************
% 0.56/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.97 * |/ | \/ | *
% 0.56/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.97 * A. Jaeger and B. Loechner | | *
% 0.56/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.97 ********************************************************************************
% 0.56/0.97
% 0.56/0.97
% 0.56/0.97 Goals:
% 0.56/0.97 ------
% 0.56/0.97
% 0.56/0.97 ( 1) mult(mult(a,a),mult(b,b)) ?=? mult(f(a,b),f(a,b))
% 0.56/0.97
% 0.56/0.97 Detected structure: Praeloop
% 0.56/0.97 ********************************************************************************
% 0.56/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.97 ********************************************************************************
% 0.56/0.97
% 126.73/127.20 joined goal: 1 mult(mult(a,a),mult(b,b)) ?= mult(f(a,b),f(a,b)) to f(f(b,a),f(b,a))
% 126.73/127.20 goal joined
% 126.73/127.20 % SZS status Unsatisfiable
% 126.73/127.20 #START OF PROOF
% 126.73/127.20 % SZS output start CNFRefutation
% 126.73/127.20 cnf('0.1.0.0',axiom,
% 126.73/127.20 ( X1 = mult(X2,ld(X2,X1)) ),
% 126.73/127.20 file('/tmp/WALDMEISTER_8048_n021')).
% 126.73/127.20 cnf('0.1.1.0',plain,
% 126.73/127.20 ( X1 = mult(X2,ld(X2,X1)) ),
% 126.73/127.20 inference(weigh,[status(thm)],['0.1.0.0']),
% 126.73/127.20 [weight('<0,0,0,[0,0,0,1]>')]).
% 126.73/127.20 cnf('0.1.2.0',plain,
% 126.73/127.20 ( mult(X1,ld(X1,X2)) = X2 ),
% 126.73/127.20 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 126.73/127.20 [x,rule_1]).
% 126.73/127.20 cnf('0.2.0.0',axiom,
% 126.73/127.20 ( X1 = mult(X1,unit) ),
% 126.73/127.20 file('/tmp/WALDMEISTER_8048_n021')).
% 126.73/127.20 cnf('0.2.1.0',plain,
% 126.73/127.20 ( X1 = mult(X1,unit) ),
% 126.73/127.20 inference(weigh,[status(thm)],['0.2.0.0']),
% 126.73/127.20 [weight('<1,0,0,[0,0,0,2]>')]).
% 126.73/127.20 cnf('0.2.2.0',plain,
% 126.73/127.20 ( mult(X1,unit) = X1 ),
% 126.73/127.20 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 126.73/127.20 [x,rule_2]).
% 126.73/127.20 cnf('0.3.0.0',axiom,
% 126.73/127.20 ( X1 = mult(unit,X1) ),
% 126.73/127.20 file('/tmp/WALDMEISTER_8048_n021')).
% 126.73/127.20 cnf('0.3.1.0',plain,
% 126.73/127.20 ( X1 = mult(unit,X1) ),
% 126.73/127.20 inference(weigh,[status(thm)],['0.3.0.0']),
% 126.73/127.20 [weight('<2,0,0,[0,0,0,3]>')]).
% 126.73/127.20 cnf('0.3.2.0',plain,
% 126.73/127.20 ( mult(unit,X1) = X1 ),
% 126.73/127.20 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 126.73/127.20 [x,rule_3]).
% 126.73/127.20 cnf('0.4.0.0',axiom,
% 126.73/127.20 ( X1 = ld(X2,mult(X2,X1)) ),
% 126.73/127.20 file('/tmp/WALDMEISTER_8048_n021')).
% 126.73/127.20 cnf('0.4.1.0',plain,
% 126.73/127.20 ( X1 = ld(X2,mult(X2,X1)) ),
% 126.73/127.20 inference(weigh,[status(thm)],['0.4.0.0']),
% 126.73/127.20 [weight('<3,0,0,[0,0,0,4]>')]).
% 126.73/127.20 cnf('0.4.2.0',plain,
% 126.73/127.20 ( ld(X1,mult(X1,X2)) = X2 ),
% 126.73/127.20 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 126.73/127.20 [x,rule_4]).
% 126.73/127.20 cnf('0.5.0.0',axiom,
% 126.73/127.20 ( mult(X1,X2) = mult(X2,X1) ),
% 126.73/127.20 file('/tmp/WALDMEISTER_8048_n021')).
% 126.73/127.20 cnf('0.5.1.0',plain,
% 126.73/127.20 ( mult(X1,X2) = mult(X2,X1) ),
% 126.73/127.20 inference(weigh,[status(thm)],['0.5.0.0']),
% 126.73/127.20 [weight('<4,0,0,[0,0,0,5]>')]).
% 126.73/127.20 cnf('0.5.2.0',plain,
% 126.73/127.20 ( mult(X1,X2) = mult(X2,X1) ),
% 126.73/127.20 inference(activate,[status(thm)],['0.5.1.0']),
% 126.73/127.20 [equation_1]).
% 126.73/127.20 cnf('0.7.0.0',axiom,
% 126.73/127.20 ( mult(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),mult(X1,mult(X2,X4)))) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,X4)))) ),
% 126.73/127.20 file('/tmp/WALDMEISTER_8048_n021')).
% 126.73/127.20 cnf('0.7.1.0',plain,
% 126.73/127.20 ( mult(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),mult(X1,mult(X2,X4)))) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,X4)))) ),
% 126.73/127.20 inference(weigh,[status(thm)],['0.7.0.0']),
% 126.73/127.20 [weight('<6,0,0,[0,0,0,7]>')]).
% 126.73/127.20 cnf('0.7.2.0',plain,
% 126.73/127.20 ( mult(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),mult(X1,mult(X2,X4)))) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,X4)))) ),
% 126.73/127.20 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 126.73/127.20 [u,rule_6]).
% 126.73/127.20 cnf('0.8.0.0',axiom,
% 126.73/127.20 ( ld(mult(ld(mult(X1,X2),X1),ld(mult(X1,X2),X2)),unit) = f(X1,X2) ),
% 126.73/127.20 file('/tmp/WALDMEISTER_8048_n021')).
% 126.73/127.20 cnf('0.8.1.0',plain,
% 126.73/127.20 ( ld(mult(ld(mult(X1,X2),X1),ld(mult(X1,X2),X2)),unit) = f(X1,X2) ),
% 126.73/127.20 inference(weigh,[status(thm)],['0.8.0.0']),
% 126.73/127.20 [weight('<7,0,0,[0,0,0,8]>')]).
% 126.73/127.20 cnf('0.8.2.0',plain,
% 126.73/127.20 ( ld(mult(ld(mult(X1,X2),X1),ld(mult(X1,X2),X2)),unit) = f(X1,X2) ),
% 126.73/127.20 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 126.73/127.20 [u,rule_7]).
% 126.73/127.20 cnf('0.9.0.0',plain,
% 126.73/127.20 ( ld(unit,X1) = X1 ),
% 126.73/127.20 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 126.73/127.20 [pos('L','L')]).
% 126.73/127.20 cnf('0.9.1.0',plain,
% 126.73/127.20 ( ld(unit,X1) = X1 ),
% 126.73/127.20 inference(weigh,[status(thm)],['0.9.0.0']),
% 126.73/127.20 [weight('<19,3,1,[1,0,0,0]>')]).
% 126.73/127.20 cnf('0.9.2.0',plain,
% 126.73/127.20 ( ld(unit,X1) = X1 ),
% 126.73/127.20 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 126.73/127.20 [u,rule_8]).
% 126.73/127.20 cnf('0.10.0.0',plain,
% 126.73/127.20 ( unit = ld(X1,X1) ),
% 126.73/127.20 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 126.73/127.20 [pos('L.2','L')]).
% 126.73/127.20 cnf('0.10.1.0',plain,
% 126.73/127.20 ( unit = ld(X1,X1) ),
% 126.73/127.20 inference(weigh,[status(thm)],['0.10.0.0']),
% 126.73/127.20 [weight('<19,4,2,[1,0,0,2]>')]).
% 126.73/127.20 cnf('0.10.2.0',plain,
% 126.73/127.20 ( ld(X1,X1) = unit ),
% 126.73/127.20 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 126.73/127.20 [x,rule_9]).
% 126.73/127.20 cnf('0.11.0.0',plain,
% 126.73/127.20 ( X1 = ld(X2,mult(X1,X2)) ),
% 126.73/127.20 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 126.73/127.20 [pos('L.2','L')]).
% 126.73/127.20 cnf('0.11.1.0',plain,
% 126.73/127.20 ( X1 = ld(X2,mult(X1,X2)) ),
% 126.73/127.20 inference(weigh,[status(thm)],['0.11.0.0']),
% 126.73/127.20 [weight('<41,5,4,[0,0,0,2]>')]).
% 126.73/127.20 cnf('0.11.2.0',plain,
% 126.73/127.20 ( ld(X1,mult(X2,X1)) = X2 ),
% 126.73/127.20 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 126.73/127.20 [x,rule_10]).
% 126.73/127.20 cnf('0.12.0.0',plain,
% 126.73/127.20 ( X1 = ld(ld(X1,X2),X2) ),
% 126.73/127.20 inference(cp,[status(thm)],['0.11.2.0','0.1.2.0',theory(equality)]),
% 126.73/127.20 [pos('L.2','L')]).
% 126.73/127.20 cnf('0.12.1.0',plain,
% 126.73/127.20 ( X1 = ld(ld(X1,X2),X2) ),
% 126.73/127.20 inference(weigh,[status(thm)],['0.12.0.0']),
% 126.73/127.20 [weight('<41,11,1,[1,0,0,2]>')]).
% 126.73/127.20 cnf('0.12.2.0',plain,
% 126.73/127.20 ( ld(ld(X1,X2),X2) = X1 ),
% 126.73/127.20 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 126.73/127.20 [x,rule_11]).
% 126.73/127.20 cnf('0.15.0.0',plain,
% 126.73/127.20 ( f(X1,ld(X1,X2)) = ld(mult(ld(X2,X1),ld(mult(X1,ld(X1,X2)),ld(X1,X2))),unit) ),
% 126.73/127.20 inference(cp,[status(thm)],['0.8.2.0','0.1.2.0',theory(equality)]),
% 126.73/127.20 [pos('L.1.1.1','L')]).
% 126.73/127.20 cnf('0.15.0.1',plain,
% 126.73/127.20 ( f(X1,ld(X1,X2)) = ld(mult(ld(X2,X1),ld(X2,ld(X1,X2))),unit) ),
% 126.73/127.20 inference(reduction,[status(thm)],['0.15.0.0','0.1.2.0',theory(equality)]),
% 126.73/127.20 [pos('R.1.2.1','L')]).
% 126.73/127.20 cnf('0.15.1.0',plain,
% 126.73/127.20 ( f(X1,ld(X1,X2)) = ld(mult(ld(X2,X1),ld(X2,ld(X1,X2))),unit) ),
% 126.73/127.20 inference(weigh,[status(thm)],['0.15.0.1']),
% 126.73/127.20 [weight('<203,8,1,[1,0,0,3]>')]).
% 126.73/127.20 cnf('0.15.2.0',plain,
% 126.73/127.20 ( ld(mult(ld(X1,X2),ld(X1,ld(X2,X1))),unit) = f(X2,ld(X2,X1)) ),
% 126.73/127.20 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 126.73/127.20 [x,rule_14]).
% 126.73/127.20 cnf('0.16.0.0',plain,
% 126.73/127.20 ( f(X1,ld(X1,unit)) = ld(mult(X1,ld(unit,ld(X1,unit))),unit) ),
% 126.73/127.20 inference(cp,[status(thm)],['0.15.2.0','0.9.2.0',theory(equality)]),
% 126.73/127.20 [pos('L.1.1','L')]).
% 126.73/127.20 cnf('0.16.0.1',plain,
% 126.73/127.20 ( f(X1,ld(X1,unit)) = ld(mult(X1,ld(X1,unit)),unit) ),
% 126.73/127.20 inference(reduction,[status(thm)],['0.16.0.0','0.9.2.0',theory(equality)]),
% 126.73/127.20 [pos('R.1.2','L')]).
% 126.73/127.20 cnf('0.16.0.2',plain,
% 126.73/127.20 ( f(X1,ld(X1,unit)) = ld(unit,unit) ),
% 126.73/127.20 inference(reduction,[status(thm)],['0.16.0.1','0.1.2.0',theory(equality)]),
% 126.73/127.20 [pos('R.1','L')]).
% 126.73/127.20 cnf('0.16.0.3',plain,
% 126.73/127.20 ( f(X1,ld(X1,unit)) = unit ),
% 126.73/127.20 inference(reduction,[status(thm)],['0.16.0.2','0.9.2.0',theory(equality)]),
% 126.73/127.20 [pos('R','L')]).
% 126.73/127.20 cnf('0.16.1.0',plain,
% 126.73/127.20 ( f(X1,ld(X1,unit)) = unit ),
% 126.73/127.20 inference(weigh,[status(thm)],['0.16.0.3']),
% 126.73/127.20 [weight('<41,15,9,[1,0,0,2]>')]).
% 126.73/127.20 cnf('0.16.2.0',plain,
% 126.73/127.20 ( f(X1,ld(X1,unit)) = unit ),
% 126.73/127.20 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 126.73/127.20 [u,rule_15]).
% 126.73/127.20 cnf('0.18.0.0',plain,
% 126.73/127.20 ( mult(ld(X1,X2),ld(X1,ld(X2,X1))) = ld(f(X2,ld(X2,X1)),unit) ),
% 126.73/127.20 inference(cp,[status(thm)],['0.12.2.0','0.15.2.0',theory(equality)]),
% 126.73/127.20 [pos('L.1','L')]).
% 126.73/127.20 cnf('0.18.1.0',plain,
% 126.73/127.20 ( mult(ld(X1,X2),ld(X1,ld(X2,X1))) = ld(f(X2,ld(X2,X1)),unit) ),
% 126.73/127.20 inference(weigh,[status(thm)],['0.18.0.0']),
% 126.73/127.20 [weight('<169,15,12,[0,0,0,1]>')]).
% 126.73/127.20 cnf('0.18.2.0',plain,
% 126.73/127.20 ( mult(ld(X1,X2),ld(X1,ld(X2,X1))) = ld(f(X2,ld(X2,X1)),unit) ),
% 126.73/127.20 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 126.73/127.20 [u,rule_17]).
% 126.73/127.20 cnf('0.19.0.0',plain,
% 126.73/127.20 ( ld(f(ld(X1,X2),ld(ld(X1,X2),X2)),unit) = mult(ld(X2,ld(X1,X2)),ld(X2,X1)) ),
% 126.73/127.20 inference(cp,[status(thm)],['0.18.2.0','0.12.2.0',theory(equality)]),
% 126.73/127.20 [pos('L.2.2','L')]).
% 126.73/127.20 cnf('0.19.0.1',plain,
% 126.73/127.20 ( ld(f(ld(X1,X2),X1),unit) = mult(ld(X2,ld(X1,X2)),ld(X2,X1)) ),
% 126.73/127.20 inference(reduction,[status(thm)],['0.19.0.0','0.12.2.0',theory(equality)]),
% 126.73/127.20 [pos('L.1.2','L')]).
% 126.73/127.20 cnf('0.19.1.0',plain,
% 126.73/127.20 ( ld(f(ld(X1,X2),X1),unit) = mult(ld(X2,ld(X1,X2)),ld(X2,X1)) ),
% 126.73/127.20 inference(weigh,[status(thm)],['0.19.0.1']),
% 126.73/127.20 [weight('<169,18,12,[1,0,0,6]>')]).
% 126.73/127.21 cnf('0.19.1.1',plain,
% 126.73/127.21 ( ld(f(ld(X1,X2),X1),unit) = mult(ld(X2,X1),ld(X2,ld(X1,X2))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.19.1.0','0.5.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.19.1.2',plain,
% 126.73/127.21 ( ld(f(ld(X1,X2),X1),unit) = ld(f(X1,ld(X1,X2)),unit) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.19.1.1','0.18.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.19.2.0',plain,
% 126.73/127.21 ( ld(f(ld(X1,X2),X1),unit) = ld(f(X1,ld(X1,X2)),unit) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.19.1.2',theory(equality)]),
% 126.73/127.21 [u,rule_18]).
% 126.73/127.21 cnf('0.20.0.0',plain,
% 126.73/127.21 ( f(ld(X1,X2),X1) = ld(ld(f(X1,ld(X1,X2)),unit),unit) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.12.2.0','0.19.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.20.0.1',plain,
% 126.73/127.21 ( f(ld(X1,X2),X1) = f(X1,ld(X1,X2)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.20.0.0','0.12.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.20.1.0',plain,
% 126.73/127.21 ( f(ld(X1,X2),X1) = f(X1,ld(X1,X2)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.20.0.1']),
% 126.73/127.21 [weight('<65,19,12,[0,0,0,1]>')]).
% 126.73/127.21 cnf('0.20.2.0',plain,
% 126.73/127.21 ( f(ld(X1,X2),X1) = f(X1,ld(X1,X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_19]).
% 126.73/127.21 cnf('0.21.0.0',plain,
% 126.73/127.21 ( f(X1,ld(X1,mult(X1,X2))) = f(X2,X1) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.20.2.0','0.4.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.21.0.1',plain,
% 126.73/127.21 ( f(X1,X2) = f(X2,X1) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.21.0.0','0.4.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.21.1.0',plain,
% 126.73/127.21 ( f(X1,X2) = f(X2,X1) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.21.0.1']),
% 126.73/127.21 [weight('<48,20,4,[1,0,0,1]>')]).
% 126.73/127.21 cnf('0.21.2.0',plain,
% 126.73/127.21 ( f(X1,X2) = f(X2,X1) ),
% 126.73/127.21 inference(activate,[status(thm)],['0.21.1.0']),
% 126.73/127.21 [equation_2]).
% 126.73/127.21 cnf('0.22.0.0',plain,
% 126.73/127.21 ( mult(ld(mult(X1,X2),X1),ld(mult(X1,X2),X2)) = ld(f(X1,X2),unit) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.12.2.0','0.8.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.22.1.0',plain,
% 126.73/127.21 ( mult(ld(mult(X1,X2),X1),ld(mult(X1,X2),X2)) = ld(f(X1,X2),unit) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.22.0.0']),
% 126.73/127.21 [weight('<203,12,8,[1,0,0,1]>')]).
% 126.73/127.21 cnf('0.22.2.0',plain,
% 126.73/127.21 ( mult(ld(mult(X1,X2),X1),ld(mult(X1,X2),X2)) = ld(f(X1,X2),unit) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_20]).
% 126.73/127.21 cnf('0.23.0.0',plain,
% 126.73/127.21 ( ld(X1,ld(X2,X1)) = ld(ld(X1,X2),ld(f(X2,ld(X2,X1)),unit)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.4.2.0','0.18.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.23.1.0',plain,
% 126.73/127.21 ( ld(X1,ld(X2,X1)) = ld(ld(X1,X2),ld(f(X2,ld(X2,X1)),unit)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.23.0.0']),
% 126.73/127.21 [weight('<203,18,4,[0,0,0,2]>')]).
% 126.73/127.21 cnf('0.23.2.0',plain,
% 126.73/127.21 ( ld(ld(X1,X2),ld(f(X2,ld(X2,X1)),unit)) = ld(X1,ld(X2,X1)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_21]).
% 126.73/127.21 cnf('0.24.0.0',plain,
% 126.73/127.21 ( ld(f(X1,ld(X1,mult(X2,X1))),unit) = mult(ld(mult(X2,X1),X1),ld(mult(X2,X1),X2)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.18.2.0','0.11.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2','L')]).
% 126.73/127.21 cnf('0.24.0.1',plain,
% 126.73/127.21 ( ld(f(X1,X2),unit) = mult(ld(mult(X2,X1),X1),ld(mult(X2,X1),X2)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.24.0.0','0.11.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1.2','L')]).
% 126.73/127.21 cnf('0.24.1.0',plain,
% 126.73/127.21 ( ld(f(X1,X2),unit) = mult(ld(mult(X2,X1),X1),ld(mult(X2,X1),X2)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.24.0.1']),
% 126.73/127.21 [weight('<203,18,11,[1,0,0,6]>')]).
% 126.73/127.21 cnf('0.24.2.0',plain,
% 126.73/127.21 ( mult(ld(mult(X1,X2),X2),ld(mult(X1,X2),X1)) = ld(f(X2,X1),unit) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_22]).
% 126.73/127.21 cnf('0.34.0.0',plain,
% 126.73/127.21 ( ld(f(X1,ld(X1,ld(X2,X1))),unit) = mult(X2,ld(ld(X2,X1),ld(X1,ld(X2,X1)))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.18.2.0','0.12.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.34.1.0',plain,
% 126.73/127.21 ( ld(f(X1,ld(X1,ld(X2,X1))),unit) = mult(X2,ld(ld(X2,X1),ld(X1,ld(X2,X1)))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.34.0.0']),
% 126.73/127.21 [weight('<251,18,12,[1,0,0,1]>')]).
% 126.73/127.21 cnf('0.34.2.0',plain,
% 126.73/127.21 ( mult(X1,ld(ld(X1,X2),ld(X2,ld(X1,X2)))) = ld(f(X2,ld(X2,ld(X1,X2))),unit) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_32]).
% 126.73/127.21 cnf('0.42.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,X1),mult(X1,mult(X1,mult(X1,X2)))) = mult(X1,ld(mult(X1,X1),mult(X1,mult(X1,X2)))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.7.2.0','0.11.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.42.1.0',plain,
% 126.73/127.21 ( ld(mult(X1,X1),mult(X1,mult(X1,mult(X1,X2)))) = mult(X1,ld(mult(X1,X1),mult(X1,mult(X1,X2)))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.42.0.0']),
% 126.73/127.21 [weight('<275,11,7,[0,0,0,1]>')]).
% 126.73/127.21 cnf('0.42.2.0',plain,
% 126.73/127.21 ( mult(X1,ld(mult(X1,X1),mult(X1,mult(X1,X2)))) = ld(mult(X1,X1),mult(X1,mult(X1,mult(X1,X2)))) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_39]).
% 126.73/127.21 cnf('0.45.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,X1),mult(X1,mult(X1,mult(X1,ld(X1,X2))))) = mult(X1,ld(mult(X1,X1),mult(X1,X2))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.42.2.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2.2','L')]).
% 126.73/127.21 cnf('0.45.0.1',plain,
% 126.73/127.21 ( ld(mult(X1,X1),mult(X1,mult(X1,X2))) = mult(X1,ld(mult(X1,X1),mult(X1,X2))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.45.0.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2.2','L')]).
% 126.73/127.21 cnf('0.45.1.0',plain,
% 126.73/127.21 ( ld(mult(X1,X1),mult(X1,mult(X1,X2))) = mult(X1,ld(mult(X1,X1),mult(X1,X2))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.45.0.1']),
% 126.73/127.21 [weight('<189,42,1,[1,0,0,8]>')]).
% 126.73/127.21 cnf('0.45.2.0',plain,
% 126.73/127.21 ( mult(X1,ld(mult(X1,X1),mult(X1,X2))) = ld(mult(X1,X1),mult(X1,mult(X1,X2))) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_42]).
% 126.73/127.21 cnf('0.46.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,X1),mult(X1,mult(X1,unit))) = mult(X1,ld(mult(X1,X1),X1)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.45.2.0','0.2.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2','L')]).
% 126.73/127.21 cnf('0.46.0.1',plain,
% 126.73/127.21 ( ld(mult(X1,X1),mult(X1,X1)) = mult(X1,ld(mult(X1,X1),X1)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.46.0.0','0.2.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2','L')]).
% 126.73/127.21 cnf('0.46.0.2',plain,
% 126.73/127.21 ( unit = mult(X1,ld(mult(X1,X1),X1)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.46.0.1','0.10.2.0',theory(equality)]),
% 126.73/127.21 [pos('L','L')]).
% 126.73/127.21 cnf('0.46.1.0',plain,
% 126.73/127.21 ( unit = mult(X1,ld(mult(X1,X1),X1)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.46.0.2']),
% 126.73/127.21 [weight('<71,45,2,[1,0,0,6]>')]).
% 126.73/127.21 cnf('0.46.2.0',plain,
% 126.73/127.21 ( mult(X1,ld(mult(X1,X1),X1)) = unit ),
% 126.73/127.21 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_43]).
% 126.73/127.21 cnf('0.47.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,X1),X1) = ld(X1,unit) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.4.2.0','0.46.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.47.1.0',plain,
% 126.73/127.21 ( ld(mult(X1,X1),X1) = ld(X1,unit) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.47.0.0']),
% 126.73/127.21 [weight('<53,46,4,[0,0,0,2]>')]).
% 126.73/127.21 cnf('0.47.2.0',plain,
% 126.73/127.21 ( ld(mult(X1,X1),X1) = ld(X1,unit) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_44]).
% 126.73/127.21 cnf('0.48.0.0',plain,
% 126.73/127.21 ( mult(X1,X1) = ld(ld(X1,unit),X1) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.12.2.0','0.47.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.48.1.0',plain,
% 126.73/127.21 ( mult(X1,X1) = ld(ld(X1,unit),X1) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.48.0.0']),
% 126.73/127.21 [weight('<53,47,12,[0,0,0,1]>')]).
% 126.73/127.21 cnf('0.48.2.0',plain,
% 126.73/127.21 ( ld(ld(X1,unit),X1) = mult(X1,X1) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_45]).
% 126.73/127.21 cnf('0.50.0.0',plain,
% 126.73/127.21 ( X1 = mult(mult(X1,X1),ld(X1,unit)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.1.2.0','0.47.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.50.1.0',plain,
% 126.73/127.21 ( X1 = mult(mult(X1,X1),ld(X1,unit)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.50.0.0']),
% 126.73/127.21 [weight('<71,47,1,[0,0,0,2]>')]).
% 126.73/127.21 cnf('0.50.1.1',plain,
% 126.73/127.21 ( X1 = mult(ld(X1,unit),mult(X1,X1)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.50.1.0','0.5.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.50.2.0',plain,
% 126.73/127.21 ( mult(ld(X1,unit),mult(X1,X1)) = X1 ),
% 126.73/127.21 inference(orient,[status(thm)],['0.50.1.1',theory(equality)]),
% 126.73/127.21 [x,rule_47]).
% 126.73/127.21 cnf('0.52.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,X1),X1) = mult(ld(ld(mult(X1,X1),X1),unit),ld(f(X1,X1),unit)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.50.2.0','0.22.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.52.0.1',plain,
% 126.73/127.21 ( ld(X1,unit) = mult(ld(ld(mult(X1,X1),X1),unit),ld(f(X1,X1),unit)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.52.0.0','0.47.2.0',theory(equality)]),
% 126.73/127.21 [pos('L','L')]).
% 126.73/127.21 cnf('0.52.0.2',plain,
% 126.73/127.21 ( ld(X1,unit) = mult(ld(ld(X1,unit),unit),ld(f(X1,X1),unit)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.52.0.1','0.47.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.1.1','L')]).
% 126.73/127.21 cnf('0.52.0.3',plain,
% 126.73/127.21 ( ld(X1,unit) = mult(X1,ld(f(X1,X1),unit)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.52.0.2','0.12.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.1','L')]).
% 126.73/127.21 cnf('0.52.1.0',plain,
% 126.73/127.21 ( ld(X1,unit) = mult(X1,ld(f(X1,X1),unit)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.52.0.3']),
% 126.73/127.21 [weight('<87,50,22,[1,0,0,4]>')]).
% 126.73/127.21 cnf('0.52.2.0',plain,
% 126.73/127.21 ( mult(X1,ld(f(X1,X1),unit)) = ld(X1,unit) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_49]).
% 126.73/127.21 cnf('0.53.0.0',plain,
% 126.73/127.21 ( ld(f(X1,X1),unit) = ld(X1,ld(X1,unit)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.4.2.0','0.52.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.53.1.0',plain,
% 126.73/127.21 ( ld(f(X1,X1),unit) = ld(X1,ld(X1,unit)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.53.0.0']),
% 126.73/127.21 [weight('<65,52,4,[0,0,0,2]>')]).
% 126.73/127.21 cnf('0.53.2.0',plain,
% 126.73/127.21 ( ld(f(X1,X1),unit) = ld(X1,ld(X1,unit)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_50]).
% 126.73/127.21 cnf('0.55.0.0',plain,
% 126.73/127.21 ( f(X1,X1) = ld(ld(X1,ld(X1,unit)),unit) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.12.2.0','0.53.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.55.1.0',plain,
% 126.73/127.21 ( f(X1,X1) = ld(ld(X1,ld(X1,unit)),unit) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.55.0.0']),
% 126.73/127.21 [weight('<87,53,12,[0,0,0,1]>')]).
% 126.73/127.21 cnf('0.55.2.0',plain,
% 126.73/127.21 ( ld(ld(X1,ld(X1,unit)),unit) = f(X1,X1) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_52]).
% 126.73/127.21 cnf('0.56.0.0',plain,
% 126.73/127.21 ( ld(f(X1,ld(X1,mult(X1,X1))),unit) = mult(ld(X1,unit),ld(mult(X1,X1),ld(X1,mult(X1,X1)))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.18.2.0','0.47.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.56.0.1',plain,
% 126.73/127.21 ( ld(f(X1,X1),unit) = mult(ld(X1,unit),ld(mult(X1,X1),ld(X1,mult(X1,X1)))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.56.0.0','0.11.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1.2','L')]).
% 126.73/127.21 cnf('0.56.0.2',plain,
% 126.73/127.21 ( ld(f(X1,X1),unit) = mult(ld(X1,unit),ld(mult(X1,X1),X1)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.56.0.1','0.11.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.2.2','L')]).
% 126.73/127.21 cnf('0.56.0.3',plain,
% 126.73/127.21 ( ld(f(X1,X1),unit) = mult(ld(X1,unit),ld(X1,unit)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.56.0.2','0.47.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.2','L')]).
% 126.73/127.21 cnf('0.56.1.0',plain,
% 126.73/127.21 ( ld(f(X1,X1),unit) = mult(ld(X1,unit),ld(X1,unit)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.56.0.3']),
% 126.73/127.21 [weight('<103,47,18,[0,0,0,1]>')]).
% 126.73/127.21 cnf('0.56.1.1',plain,
% 126.73/127.21 ( ld(X1,ld(X1,unit)) = mult(ld(X1,unit),ld(X1,unit)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.56.1.0','0.53.2.0',theory(equality)]),
% 126.73/127.21 [pos('L','L')]).
% 126.73/127.21 cnf('0.56.2.0',plain,
% 126.73/127.21 ( mult(ld(X1,unit),ld(X1,unit)) = ld(X1,ld(X1,unit)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.56.1.1',theory(equality)]),
% 126.73/127.21 [x,rule_53]).
% 126.73/127.21 cnf('0.60.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,X1),mult(X1,mult(X1,ld(X1,X2)))) = mult(X1,ld(mult(X1,X1),X2)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.45.2.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2','L')]).
% 126.73/127.21 cnf('0.60.0.1',plain,
% 126.73/127.21 ( ld(mult(X1,X1),mult(X1,X2)) = mult(X1,ld(mult(X1,X1),X2)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.60.0.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2','L')]).
% 126.73/127.21 cnf('0.60.1.0',plain,
% 126.73/127.21 ( ld(mult(X1,X1),mult(X1,X2)) = mult(X1,ld(mult(X1,X1),X2)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.60.0.1']),
% 126.73/127.21 [weight('<119,45,1,[1,0,0,6]>')]).
% 126.73/127.21 cnf('0.60.2.0',plain,
% 126.73/127.21 ( mult(X1,ld(mult(X1,X1),X2)) = ld(mult(X1,X1),mult(X1,X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_57]).
% 126.73/127.21 cnf('0.62.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,X1),X2) = ld(X1,ld(mult(X1,X1),mult(X1,X2))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.4.2.0','0.60.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.62.1.0',plain,
% 126.73/127.21 ( ld(mult(X1,X1),X2) = ld(X1,ld(mult(X1,X1),mult(X1,X2))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.62.0.0']),
% 126.73/127.21 [weight('<149,60,4,[0,0,0,2]>')]).
% 126.73/127.21 cnf('0.62.2.0',plain,
% 126.73/127.21 ( ld(X1,ld(mult(X1,X1),mult(X1,X2))) = ld(mult(X1,X1),X2) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_59]).
% 126.73/127.21 cnf('0.63.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,X1),unit) = ld(X1,ld(mult(X1,X1),X1)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.62.2.0','0.2.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2','L')]).
% 126.73/127.21 cnf('0.63.0.1',plain,
% 126.73/127.21 ( ld(mult(X1,X1),unit) = ld(X1,ld(X1,unit)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.63.0.0','0.47.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.2','L')]).
% 126.73/127.21 cnf('0.63.1.0',plain,
% 126.73/127.21 ( ld(mult(X1,X1),unit) = ld(X1,ld(X1,unit)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.63.0.1']),
% 126.73/127.21 [weight('<65,62,2,[1,0,0,6]>')]).
% 126.73/127.21 cnf('0.63.2.0',plain,
% 126.73/127.21 ( ld(mult(X1,X1),unit) = ld(X1,ld(X1,unit)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_60]).
% 126.73/127.21 cnf('0.64.0.0',plain,
% 126.73/127.21 ( mult(X1,X1) = ld(ld(X1,ld(X1,unit)),unit) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.12.2.0','0.63.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.64.0.1',plain,
% 126.73/127.21 ( mult(X1,X1) = f(X1,X1) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.64.0.0','0.55.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.64.1.0',plain,
% 126.73/127.21 ( mult(X1,X1) = f(X1,X1) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.64.0.1']),
% 126.73/127.21 [weight('<27,63,12,[0,0,0,1]>')]).
% 126.73/127.21 cnf('0.64.2.0',plain,
% 126.73/127.21 ( mult(X1,X1) = f(X1,X1) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_61]).
% 126.73/127.21 cnf('0.65.0.0',plain,
% 126.73/127.21 ( X1 = ld(X1,f(X1,X1)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.4.2.0','0.64.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.65.1.0',plain,
% 126.73/127.21 ( X1 = ld(X1,f(X1,X1)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.65.0.0']),
% 126.73/127.21 [weight('<41,64,4,[0,0,0,2]>')]).
% 126.73/127.21 cnf('0.65.2.0',plain,
% 126.73/127.21 ( ld(X1,f(X1,X1)) = X1 ),
% 126.73/127.21 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_62]).
% 126.73/127.21 cnf('0.67.0.0',plain,
% 126.73/127.21 ( ld(ld(X1,unit),X1) = mult(X1,X1) ),
% 126.73/127.21 inference(interreduction_right,[status(thm)],['0.48.2.0'])).
% 126.73/127.21 cnf('0.67.0.1',plain,
% 126.73/127.21 ( ld(ld(X1,unit),X1) = f(X1,X1) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.67.0.0','0.64.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.67.1.0',plain,
% 126.73/127.21 ( ld(ld(X1,unit),X1) = f(X1,X1) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.67.0.1']),
% 126.73/127.21 [weight('<53,48,64,[0,0,0,0]>')]).
% 126.73/127.21 cnf('0.67.2.0',plain,
% 126.73/127.21 ( ld(ld(X1,unit),X1) = f(X1,X1) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_64]).
% 126.73/127.21 cnf('0.72.0.0',plain,
% 126.73/127.21 ( mult(ld(X1,unit),ld(X1,unit)) = ld(X1,ld(X1,unit)) ),
% 126.73/127.21 inference(interreduction_right,[status(thm)],['0.56.2.0'])).
% 126.73/127.21 cnf('0.72.0.1',plain,
% 126.73/127.21 ( f(ld(X1,unit),ld(X1,unit)) = ld(X1,ld(X1,unit)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.72.0.0','0.64.2.0',theory(equality)]),
% 126.73/127.21 [pos('L','L')]).
% 126.73/127.21 cnf('0.72.1.0',plain,
% 126.73/127.21 ( f(ld(X1,unit),ld(X1,unit)) = ld(X1,ld(X1,unit)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.72.0.1']),
% 126.73/127.21 [weight('<103,56,64,[0,0,0,0]>')]).
% 126.73/127.21 cnf('0.72.2.0',plain,
% 126.73/127.21 ( f(ld(X1,unit),ld(X1,unit)) = ld(X1,ld(X1,unit)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_69]).
% 126.73/127.21 cnf('0.74.0.0',plain,
% 126.73/127.21 ( mult(X1,ld(mult(X1,X1),X2)) = ld(mult(X1,X1),mult(X1,X2)) ),
% 126.73/127.21 inference(interreduction_right,[status(thm)],['0.60.2.0'])).
% 126.73/127.21 cnf('0.74.0.1',plain,
% 126.73/127.21 ( mult(X1,ld(f(X1,X1),X2)) = ld(mult(X1,X1),mult(X1,X2)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.74.0.0','0.64.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.1','L')]).
% 126.73/127.21 cnf('0.74.0.2',plain,
% 126.73/127.21 ( mult(X1,ld(f(X1,X1),X2)) = ld(f(X1,X1),mult(X1,X2)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.74.0.1','0.64.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.1','L')]).
% 126.73/127.21 cnf('0.74.1.0',plain,
% 126.73/127.21 ( mult(X1,ld(f(X1,X1),X2)) = ld(f(X1,X1),mult(X1,X2)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.74.0.2']),
% 126.73/127.21 [weight('<119,60,64,[0,0,0,0]>')]).
% 126.73/127.21 cnf('0.74.2.0',plain,
% 126.73/127.21 ( mult(X1,ld(f(X1,X1),X2)) = ld(f(X1,X1),mult(X1,X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_71]).
% 126.73/127.21 cnf('0.75.0.0',plain,
% 126.73/127.21 ( ld(X1,ld(mult(X1,X1),mult(X1,X2))) = ld(mult(X1,X1),X2) ),
% 126.73/127.21 inference(interreduction_right,[status(thm)],['0.62.2.0'])).
% 126.73/127.21 cnf('0.75.0.1',plain,
% 126.73/127.21 ( ld(X1,ld(f(X1,X1),mult(X1,X2))) = ld(mult(X1,X1),X2) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.75.0.0','0.64.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.1','L')]).
% 126.73/127.21 cnf('0.75.0.2',plain,
% 126.73/127.21 ( ld(X1,ld(f(X1,X1),mult(X1,X2))) = ld(f(X1,X1),X2) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.75.0.1','0.64.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.1','L')]).
% 126.73/127.21 cnf('0.75.1.0',plain,
% 126.73/127.21 ( ld(X1,ld(f(X1,X1),mult(X1,X2))) = ld(f(X1,X1),X2) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.75.0.2']),
% 126.73/127.21 [weight('<149,62,64,[0,0,0,0]>')]).
% 126.73/127.21 cnf('0.75.2.0',plain,
% 126.73/127.21 ( ld(X1,ld(f(X1,X1),mult(X1,X2))) = ld(f(X1,X1),X2) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_72]).
% 126.73/127.21 cnf('0.80.0.0',plain,
% 126.73/127.21 ( ld(f(X1,X1),mult(X1,mult(f(X1,X1),X2))) = mult(X1,X2) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.74.2.0','0.4.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.80.1.0',plain,
% 126.73/127.21 ( ld(f(X1,X1),mult(X1,mult(f(X1,X1),X2))) = mult(X1,X2) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.80.0.0']),
% 126.73/127.21 [weight('<179,74,4,[1,0,0,2]>')]).
% 126.73/127.21 cnf('0.80.2.0',plain,
% 126.73/127.21 ( ld(f(X1,X1),mult(X1,mult(f(X1,X1),X2))) = mult(X1,X2) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_77]).
% 126.73/127.21 cnf('0.81.0.0',plain,
% 126.73/127.21 ( mult(X1,mult(f(X1,X1),X2)) = mult(f(X1,X1),mult(X1,X2)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.1.2.0','0.80.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.81.1.0',plain,
% 126.73/127.21 ( mult(X1,mult(f(X1,X1),X2)) = mult(f(X1,X1),mult(X1,X2)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.81.0.0']),
% 126.73/127.21 [weight('<119,80,1,[0,0,0,2]>')]).
% 126.73/127.21 cnf('0.81.2.0',plain,
% 126.73/127.21 ( mult(f(X1,X1),mult(X1,X2)) = mult(X1,mult(f(X1,X1),X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_78]).
% 126.73/127.21 cnf('0.82.0.0',plain,
% 126.73/127.21 ( mult(X1,mult(f(X1,X1),X2)) = mult(mult(X1,X2),f(X1,X1)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.81.2.0','0.5.2.0',theory(equality)]),
% 126.73/127.21 [pos('L','L')]).
% 126.73/127.21 cnf('0.82.1.0',plain,
% 126.73/127.21 ( mult(X1,mult(f(X1,X1),X2)) = mult(mult(X1,X2),f(X1,X1)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.82.0.0']),
% 126.73/127.21 [weight('<119,81,5,[1,0,0,0]>')]).
% 126.73/127.21 cnf('0.82.2.0',plain,
% 126.73/127.21 ( mult(mult(X1,X2),f(X1,X1)) = mult(X1,mult(f(X1,X1),X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_79]).
% 126.73/127.21 cnf('0.83.0.0',plain,
% 126.73/127.21 ( mult(X1,mult(f(X1,X1),X2)) = mult(f(X1,X1),mult(X2,X1)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.81.2.0','0.5.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.83.1.0',plain,
% 126.73/127.21 ( mult(X1,mult(f(X1,X1),X2)) = mult(f(X1,X1),mult(X2,X1)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.83.0.0']),
% 126.73/127.21 [weight('<119,81,5,[1,0,0,4]>')]).
% 126.73/127.21 cnf('0.83.2.0',plain,
% 126.73/127.21 ( mult(f(X1,X1),mult(X2,X1)) = mult(X1,mult(f(X1,X1),X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_80]).
% 126.73/127.21 cnf('0.85.0.0',plain,
% 126.73/127.21 ( mult(X1,mult(f(X1,X1),ld(X1,X2))) = mult(f(X1,X1),X2) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.81.2.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.85.1.0',plain,
% 126.73/127.21 ( mult(X1,mult(f(X1,X1),ld(X1,X2))) = mult(f(X1,X1),X2) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.85.0.0']),
% 126.73/127.21 [weight('<149,81,1,[1,0,0,4]>')]).
% 126.73/127.21 cnf('0.85.2.0',plain,
% 126.73/127.21 ( mult(X1,mult(f(X1,X1),ld(X1,X2))) = mult(f(X1,X1),X2) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_82]).
% 126.73/127.21 cnf('0.86.0.0',plain,
% 126.73/127.21 ( mult(f(X1,X1),ld(X1,X2)) = ld(X1,mult(f(X1,X1),X2)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.4.2.0','0.85.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.86.1.0',plain,
% 126.73/127.21 ( mult(f(X1,X1),ld(X1,X2)) = ld(X1,mult(f(X1,X1),X2)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.86.0.0']),
% 126.73/127.21 [weight('<119,85,4,[0,0,0,2]>')]).
% 126.73/127.21 cnf('0.86.2.0',plain,
% 126.73/127.21 ( mult(f(X1,X1),ld(X1,X2)) = ld(X1,mult(f(X1,X1),X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_83]).
% 126.73/127.21 cnf('0.87.0.0',plain,
% 126.73/127.21 ( ld(X1,mult(f(X1,X1),X2)) = mult(ld(X1,X2),f(X1,X1)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.86.2.0','0.5.2.0',theory(equality)]),
% 126.73/127.21 [pos('L','L')]).
% 126.73/127.21 cnf('0.87.1.0',plain,
% 126.73/127.21 ( ld(X1,mult(f(X1,X1),X2)) = mult(ld(X1,X2),f(X1,X1)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.87.0.0']),
% 126.73/127.21 [weight('<119,86,5,[1,0,0,0]>')]).
% 126.73/127.21 cnf('0.87.2.0',plain,
% 126.73/127.21 ( mult(ld(X1,X2),f(X1,X1)) = ld(X1,mult(f(X1,X1),X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_84]).
% 126.73/127.21 cnf('0.106.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,ld(X1,X2)),mult(X1,mult(ld(X1,X2),mult(X3,X4)))) = mult(ld(X2,mult(X1,mult(ld(X1,X2),X3))),ld(mult(X1,ld(X1,X2)),mult(X1,mult(ld(X1,X2),X4)))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1.1','L')]).
% 126.73/127.21 cnf('0.106.0.1',plain,
% 126.73/127.21 ( ld(X2,mult(X1,mult(ld(X1,X2),mult(X3,X4)))) = mult(ld(X2,mult(X1,mult(ld(X1,X2),X3))),ld(mult(X1,ld(X1,X2)),mult(X1,mult(ld(X1,X2),X4)))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.106.0.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.106.0.2',plain,
% 126.73/127.21 ( ld(X2,mult(X1,mult(ld(X1,X2),mult(X3,X4)))) = mult(ld(X2,mult(X1,mult(ld(X1,X2),X3))),ld(X2,mult(X1,mult(ld(X1,X2),X4)))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.106.0.1','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.2.1','L')]).
% 126.73/127.21 cnf('0.106.1.0',plain,
% 126.73/127.21 ( ld(X2,mult(X1,mult(ld(X1,X2),mult(X3,X4)))) = mult(ld(X2,mult(X1,mult(ld(X1,X2),X3))),ld(X2,mult(X1,mult(ld(X1,X2),X4)))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.106.0.2']),
% 126.73/127.21 [weight('<?,7,1,[1,0,0,2]>')]).
% 126.73/127.21 cnf('0.106.2.0',plain,
% 126.73/127.21 ( mult(ld(X1,mult(X2,mult(ld(X2,X1),X3))),ld(X1,mult(X2,mult(ld(X2,X1),X4)))) = ld(X1,mult(X2,mult(ld(X2,X1),mult(X3,X4)))) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_103]).
% 126.73/127.21 cnf('0.199.0.0',plain,
% 126.73/127.21 ( mult(ld(X1,X2),mult(f(ld(X1,X2),ld(X1,X2)),X1)) = mult(f(ld(X1,X2),ld(X1,X2)),X2) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.83.2.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.199.1.0',plain,
% 126.73/127.21 ( mult(ld(X1,X2),mult(f(ld(X1,X2),ld(X1,X2)),X1)) = mult(f(ld(X1,X2),ld(X1,X2)),X2) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.199.0.0']),
% 126.73/127.21 [weight('<321,83,1,[1,0,0,4]>')]).
% 126.73/127.21 cnf('0.199.1.1',plain,
% 126.73/127.21 ( mult(ld(X1,X2),mult(X1,f(ld(X1,X2),ld(X1,X2)))) = mult(f(ld(X1,X2),ld(X1,X2)),X2) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.199.1.0','0.5.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.199.1.2',plain,
% 126.73/127.21 ( mult(ld(X1,X2),mult(X1,f(ld(X1,X2),ld(X1,X2)))) = mult(X2,f(ld(X1,X2),ld(X1,X2))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.199.1.1','0.5.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.199.2.0',plain,
% 126.73/127.21 ( mult(ld(X1,X2),mult(X1,f(ld(X1,X2),ld(X1,X2)))) = mult(X2,f(ld(X1,X2),ld(X1,X2))) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.199.1.2',theory(equality)]),
% 126.73/127.21 [u,rule_196]).
% 126.73/127.21 cnf('0.207.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(ld(X2,X3),X4)))) = mult(ld(mult(X1,X2),mult(X1,X3)),ld(mult(X1,X2),mult(X1,mult(X2,X4)))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1.2.2','L')]).
% 126.73/127.21 cnf('0.207.1.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(ld(X2,X3),X4)))) = mult(ld(mult(X1,X2),mult(X1,X3)),ld(mult(X1,X2),mult(X1,mult(X2,X4)))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.207.0.0']),
% 126.73/127.21 [weight('<?,7,1,[1,0,0,7]>')]).
% 126.73/127.21 cnf('0.207.2.0',plain,
% 126.73/127.21 ( mult(ld(mult(X1,X2),mult(X1,X3)),ld(mult(X1,X2),mult(X1,mult(X2,X4)))) = ld(mult(X1,X2),mult(X1,mult(X2,mult(ld(X2,X3),X4)))) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.207.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_204]).
% 126.73/127.21 cnf('0.208.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(ld(X2,mult(X1,X2)),X3)))) = mult(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3)))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.207.2.0','0.11.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.208.0.1',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3)))) = mult(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3)))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.208.0.0','0.11.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2.2.1','L')]).
% 126.73/127.21 cnf('0.208.1.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3)))) = mult(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3)))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.208.0.1']),
% 126.73/127.21 [weight('<275,207,11,[1,0,0,1]>')]).
% 126.73/127.21 cnf('0.208.2.0',plain,
% 126.73/127.21 ( mult(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3)))) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3)))) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.208.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_205]).
% 126.73/127.21 cnf('0.209.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,unit)))) = mult(X1,ld(mult(X1,X2),mult(X1,X2))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.208.2.0','0.2.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2.2','L')]).
% 126.73/127.21 cnf('0.209.0.1',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,X1))) = mult(X1,ld(mult(X1,X2),mult(X1,X2))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.209.0.0','0.2.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2.2','L')]).
% 126.73/127.21 cnf('0.209.0.2',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,X1))) = mult(X1,unit) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.209.0.1','0.10.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.2','L')]).
% 126.73/127.21 cnf('0.209.0.3',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,X1))) = X1 ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.209.0.2','0.2.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.209.1.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,X1))) = X1 ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.209.0.3']),
% 126.73/127.21 [weight('<109,208,2,[1,0,0,8]>')]).
% 126.73/127.21 cnf('0.209.2.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,X1))) = X1 ),
% 126.73/127.21 inference(orient,[status(thm)],['0.209.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_206]).
% 126.73/127.21 cnf('0.279.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,ld(X1,X2)),mult(X1,mult(ld(X1,X2),mult(X1,X3)))) = mult(X1,ld(X2,mult(X1,mult(ld(X1,X2),X3)))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.208.2.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.1','L')]).
% 126.73/127.21 cnf('0.279.0.1',plain,
% 126.73/127.21 ( ld(X2,mult(X1,mult(ld(X1,X2),mult(X1,X3)))) = mult(X1,ld(X2,mult(X1,mult(ld(X1,X2),X3)))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.279.0.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.279.1.0',plain,
% 126.73/127.21 ( ld(X2,mult(X1,mult(ld(X1,X2),mult(X1,X3)))) = mult(X1,ld(X2,mult(X1,mult(ld(X1,X2),X3)))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.279.0.1']),
% 126.73/127.21 [weight('<275,208,1,[1,0,0,3]>')]).
% 126.73/127.21 cnf('0.279.2.0',plain,
% 126.73/127.21 ( mult(X1,ld(X2,mult(X1,mult(ld(X1,X2),X3)))) = ld(X2,mult(X1,mult(ld(X1,X2),mult(X1,X3)))) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.279.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_276]).
% 126.73/127.21 cnf('0.280.0.0',plain,
% 126.73/127.21 ( ld(unit,mult(X1,mult(ld(X1,unit),mult(X1,X2)))) = mult(X1,mult(X1,mult(ld(X1,unit),X2))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.279.2.0','0.9.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.280.0.1',plain,
% 126.73/127.21 ( mult(X1,mult(ld(X1,unit),mult(X1,X2))) = mult(X1,mult(X1,mult(ld(X1,unit),X2))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.280.0.0','0.9.2.0',theory(equality)]),
% 126.73/127.21 [pos('L','L')]).
% 126.73/127.21 cnf('0.280.1.0',plain,
% 126.73/127.21 ( mult(X1,mult(ld(X1,unit),mult(X1,X2))) = mult(X1,mult(X1,mult(ld(X1,unit),X2))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.280.0.1']),
% 126.73/127.21 [weight('<189,279,9,[1,0,0,2]>')]).
% 126.73/127.21 cnf('0.280.2.0',plain,
% 126.73/127.21 ( mult(X1,mult(ld(X1,unit),mult(X1,X2))) = mult(X1,mult(X1,mult(ld(X1,unit),X2))) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.280.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_277]).
% 126.73/127.21 cnf('0.281.0.0',plain,
% 126.73/127.21 ( mult(ld(X1,unit),mult(X1,X2)) = ld(X1,mult(X1,mult(X1,mult(ld(X1,unit),X2)))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.4.2.0','0.280.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.281.0.1',plain,
% 126.73/127.21 ( mult(ld(X1,unit),mult(X1,X2)) = mult(X1,mult(ld(X1,unit),X2)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.281.0.0','0.4.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.281.1.0',plain,
% 126.73/127.21 ( mult(ld(X1,unit),mult(X1,X2)) = mult(X1,mult(ld(X1,unit),X2)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.281.0.1']),
% 126.73/127.21 [weight('<119,280,4,[0,0,0,2]>')]).
% 126.73/127.21 cnf('0.281.2.0',plain,
% 126.73/127.21 ( mult(ld(X1,unit),mult(X1,X2)) = mult(X1,mult(ld(X1,unit),X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.281.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_278]).
% 126.73/127.21 cnf('0.282.0.0',plain,
% 126.73/127.21 ( mult(X1,mult(ld(X1,unit),X2)) = mult(ld(X1,unit),mult(X2,X1)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.281.2.0','0.5.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.282.1.0',plain,
% 126.73/127.21 ( mult(X1,mult(ld(X1,unit),X2)) = mult(ld(X1,unit),mult(X2,X1)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.282.0.0']),
% 126.73/127.21 [weight('<119,281,5,[1,0,0,4]>')]).
% 126.73/127.21 cnf('0.282.2.0',plain,
% 126.73/127.21 ( mult(ld(X1,unit),mult(X2,X1)) = mult(X1,mult(ld(X1,unit),X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.282.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_279]).
% 126.73/127.21 cnf('0.283.0.0',plain,
% 126.73/127.21 ( mult(X1,mult(ld(X1,unit),ld(X1,X2))) = mult(ld(X1,unit),X2) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.281.2.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.283.1.0',plain,
% 126.73/127.21 ( mult(X1,mult(ld(X1,unit),ld(X1,X2))) = mult(ld(X1,unit),X2) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.283.0.0']),
% 126.73/127.21 [weight('<149,281,1,[1,0,0,4]>')]).
% 126.73/127.21 cnf('0.283.2.0',plain,
% 126.73/127.21 ( mult(X1,mult(ld(X1,unit),ld(X1,X2))) = mult(ld(X1,unit),X2) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.283.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_280]).
% 126.73/127.21 cnf('0.284.0.0',plain,
% 126.73/127.21 ( mult(ld(X1,unit),ld(X1,X2)) = ld(X1,mult(ld(X1,unit),X2)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.4.2.0','0.283.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.284.1.0',plain,
% 126.73/127.21 ( mult(ld(X1,unit),ld(X1,X2)) = ld(X1,mult(ld(X1,unit),X2)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.284.0.0']),
% 126.73/127.21 [weight('<119,283,4,[0,0,0,2]>')]).
% 126.73/127.21 cnf('0.284.2.0',plain,
% 126.73/127.21 ( mult(ld(X1,unit),ld(X1,X2)) = ld(X1,mult(ld(X1,unit),X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.284.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_281]).
% 126.73/127.21 cnf('0.285.0.0',plain,
% 126.73/127.21 ( ld(X1,mult(ld(X1,unit),X2)) = mult(ld(X1,X2),ld(X1,unit)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.284.2.0','0.5.2.0',theory(equality)]),
% 126.73/127.21 [pos('L','L')]).
% 126.73/127.21 cnf('0.285.1.0',plain,
% 126.73/127.21 ( ld(X1,mult(ld(X1,unit),X2)) = mult(ld(X1,X2),ld(X1,unit)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.285.0.0']),
% 126.73/127.21 [weight('<119,284,5,[1,0,0,0]>')]).
% 126.73/127.21 cnf('0.285.2.0',plain,
% 126.73/127.21 ( mult(ld(X1,X2),ld(X1,unit)) = ld(X1,mult(ld(X1,unit),X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.285.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_282]).
% 126.73/127.21 cnf('0.286.0.0',plain,
% 126.73/127.21 ( ld(ld(X1,unit),mult(ld(ld(X1,unit),unit),X2)) = mult(X1,ld(ld(X1,unit),X2)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.284.2.0','0.12.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.286.0.1',plain,
% 126.73/127.21 ( ld(ld(X1,unit),mult(X1,X2)) = mult(X1,ld(ld(X1,unit),X2)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.286.0.0','0.12.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.1','L')]).
% 126.73/127.21 cnf('0.286.1.0',plain,
% 126.73/127.21 ( ld(ld(X1,unit),mult(X1,X2)) = mult(X1,ld(ld(X1,unit),X2)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.286.0.1']),
% 126.73/127.21 [weight('<119,284,12,[1,0,0,1]>')]).
% 126.73/127.21 cnf('0.286.2.0',plain,
% 126.73/127.21 ( mult(X1,ld(ld(X1,unit),X2)) = ld(ld(X1,unit),mult(X1,X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.286.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_283]).
% 126.73/127.21 cnf('0.287.0.0',plain,
% 126.73/127.21 ( ld(ld(X1,unit),X2) = ld(X1,ld(ld(X1,unit),mult(X1,X2))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.4.2.0','0.286.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.287.1.0',plain,
% 126.73/127.21 ( ld(ld(X1,unit),X2) = ld(X1,ld(ld(X1,unit),mult(X1,X2))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.287.0.0']),
% 126.73/127.21 [weight('<149,286,4,[0,0,0,2]>')]).
% 126.73/127.21 cnf('0.287.2.0',plain,
% 126.73/127.21 ( ld(X1,ld(ld(X1,unit),mult(X1,X2))) = ld(ld(X1,unit),X2) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.287.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_284]).
% 126.73/127.21 cnf('0.288.0.0',plain,
% 126.73/127.21 ( ld(ld(X1,unit),ld(X1,X2)) = ld(X1,ld(ld(X1,unit),X2)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.287.2.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2','L')]).
% 126.73/127.21 cnf('0.288.1.0',plain,
% 126.73/127.21 ( ld(ld(X1,unit),ld(X1,X2)) = ld(X1,ld(ld(X1,unit),X2)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.288.0.0']),
% 126.73/127.21 [weight('<119,287,1,[1,0,0,6]>')]).
% 126.73/127.21 cnf('0.288.2.0',plain,
% 126.73/127.21 ( ld(ld(X1,unit),ld(X1,X2)) = ld(X1,ld(ld(X1,unit),X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.288.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_285]).
% 126.73/127.21 cnf('0.289.0.0',plain,
% 126.73/127.21 ( ld(ld(X1,unit),X2) = ld(X1,ld(ld(X1,unit),mult(X2,X1))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.287.2.0','0.5.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2','L')]).
% 126.73/127.21 cnf('0.289.1.0',plain,
% 126.73/127.21 ( ld(ld(X1,unit),X2) = ld(X1,ld(ld(X1,unit),mult(X2,X1))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.289.0.0']),
% 126.73/127.21 [weight('<149,287,5,[1,0,0,6]>')]).
% 126.73/127.21 cnf('0.289.2.0',plain,
% 126.73/127.21 ( ld(X1,ld(ld(X1,unit),mult(X2,X1))) = ld(ld(X1,unit),X2) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.289.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_286]).
% 126.73/127.21 cnf('0.294.0.0',plain,
% 126.73/127.21 ( ld(ld(X1,unit),mult(X1,mult(X2,ld(X1,unit)))) = mult(X1,X2) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.286.2.0','0.11.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.294.1.0',plain,
% 126.73/127.21 ( ld(ld(X1,unit),mult(X1,mult(X2,ld(X1,unit)))) = mult(X1,X2) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.294.0.0']),
% 126.73/127.21 [weight('<179,286,11,[1,0,0,2]>')]).
% 126.73/127.21 cnf('0.294.2.0',plain,
% 126.73/127.21 ( ld(ld(X1,unit),mult(X1,mult(X2,ld(X1,unit)))) = mult(X1,X2) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.294.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_291]).
% 126.73/127.21 cnf('0.300.0.0',plain,
% 126.73/127.21 ( X1 = ld(ld(ld(X1,unit),X2),ld(ld(X1,unit),mult(X2,X1))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.12.2.0','0.289.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.300.1.0',plain,
% 126.73/127.21 ( X1 = ld(ld(ld(X1,unit),X2),ld(ld(X1,unit),mult(X2,X1))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.300.0.0']),
% 126.73/127.21 [weight('<209,289,12,[0,0,0,1]>')]).
% 126.73/127.21 cnf('0.300.2.0',plain,
% 126.73/127.21 ( ld(ld(ld(X1,unit),X2),ld(ld(X1,unit),mult(X2,X1))) = X1 ),
% 126.73/127.21 inference(orient,[status(thm)],['0.300.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_297]).
% 126.73/127.21 cnf('0.302.0.0',plain,
% 126.73/127.21 ( mult(ld(X1,X2),mult(ld(ld(X1,X2),unit),X1)) = mult(ld(ld(X1,X2),unit),X2) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.282.2.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.302.1.0',plain,
% 126.73/127.21 ( mult(ld(X1,X2),mult(ld(ld(X1,X2),unit),X1)) = mult(ld(ld(X1,X2),unit),X2) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.302.0.0']),
% 126.73/127.21 [weight('<227,282,1,[1,0,0,4]>')]).
% 126.73/127.21 cnf('0.302.1.1',plain,
% 126.73/127.21 ( mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),unit))) = mult(ld(ld(X1,X2),unit),X2) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.302.1.0','0.5.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.302.1.2',plain,
% 126.73/127.21 ( mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),unit))) = mult(X2,ld(ld(X1,X2),unit)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.302.1.1','0.5.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.302.2.0',plain,
% 126.73/127.21 ( mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),unit))) = mult(X2,ld(ld(X1,X2),unit)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.302.1.2',theory(equality)]),
% 126.73/127.21 [u,rule_299]).
% 126.73/127.21 cnf('0.304.0.0',plain,
% 126.73/127.21 ( ld(ld(X1,X2),ld(ld(ld(X1,X2),unit),X2)) = ld(ld(ld(X1,X2),unit),X1) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.288.2.0','0.12.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.304.1.0',plain,
% 126.73/127.21 ( ld(ld(X1,X2),ld(ld(ld(X1,X2),unit),X2)) = ld(ld(ld(X1,X2),unit),X1) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.304.0.0']),
% 126.73/127.21 [weight('<227,288,12,[1,0,0,4]>')]).
% 126.73/127.21 cnf('0.304.2.0',plain,
% 126.73/127.21 ( ld(ld(X1,X2),ld(ld(ld(X1,X2),unit),X2)) = ld(ld(ld(X1,X2),unit),X1) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.304.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_301]).
% 126.73/127.21 cnf('0.313.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3)))) = mult(X1,ld(mult(X2,X1),mult(X1,mult(X2,X3)))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.208.2.0','0.5.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.1','L')]).
% 126.73/127.21 cnf('0.313.1.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3)))) = mult(X1,ld(mult(X2,X1),mult(X1,mult(X2,X3)))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.313.0.0']),
% 126.73/127.21 [weight('<275,208,5,[1,0,0,3]>')]).
% 126.73/127.21 cnf('0.313.2.0',plain,
% 126.73/127.21 ( mult(X1,ld(mult(X2,X1),mult(X1,mult(X2,X3)))) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3)))) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.313.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_310]).
% 126.73/127.21 cnf('0.314.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,unit)))) = mult(X1,ld(mult(X2,X1),mult(X1,X2))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.313.2.0','0.2.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2.2','L')]).
% 126.73/127.21 cnf('0.314.0.1',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,X1))) = mult(X1,ld(mult(X2,X1),mult(X1,X2))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.314.0.0','0.2.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2.2','L')]).
% 126.73/127.21 cnf('0.314.0.2',plain,
% 126.73/127.21 ( X1 = mult(X1,ld(mult(X2,X1),mult(X1,X2))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.314.0.1','0.209.2.0',theory(equality)]),
% 126.73/127.21 [pos('L','L')]).
% 126.73/127.21 cnf('0.314.1.0',plain,
% 126.73/127.21 ( X1 = mult(X1,ld(mult(X2,X1),mult(X1,X2))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.314.0.2']),
% 126.73/127.21 [weight('<109,313,2,[1,0,0,8]>')]).
% 126.73/127.21 cnf('0.314.2.0',plain,
% 126.73/127.21 ( mult(X1,ld(mult(X2,X1),mult(X1,X2))) = X1 ),
% 126.73/127.21 inference(orient,[status(thm)],['0.314.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_311]).
% 126.73/127.21 cnf('0.315.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X2,X1)) = ld(X2,X2) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.4.2.0','0.314.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.315.0.1',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X2,X1)) = unit ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.315.0.0','0.10.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.315.1.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X2,X1)) = unit ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.315.0.1']),
% 126.73/127.21 [weight('<71,314,4,[0,0,0,2]>')]).
% 126.73/127.21 cnf('0.315.2.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X2,X1)) = unit ),
% 126.73/127.21 inference(orient,[status(thm)],['0.315.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_312]).
% 126.73/127.21 cnf('0.316.0.0',plain,
% 126.73/127.21 ( ld(f(mult(X1,X2),ld(mult(X1,X2),ld(mult(X2,X1),mult(X1,X2)))),unit) = mult(mult(X2,X1),ld(unit,ld(mult(X1,X2),ld(mult(X2,X1),mult(X1,X2))))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.34.2.0','0.315.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.1','L')]).
% 126.73/127.21 cnf('0.316.0.1',plain,
% 126.73/127.21 ( ld(f(mult(X1,X2),ld(mult(X1,X2),unit)),unit) = mult(mult(X2,X1),ld(unit,ld(mult(X1,X2),ld(mult(X2,X1),mult(X1,X2))))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.316.0.0','0.315.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1.2.2','L')]).
% 126.73/127.21 cnf('0.316.0.2',plain,
% 126.73/127.21 ( ld(unit,unit) = mult(mult(X2,X1),ld(unit,ld(mult(X1,X2),ld(mult(X2,X1),mult(X1,X2))))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.316.0.1','0.16.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.316.0.3',plain,
% 126.73/127.21 ( unit = mult(mult(X2,X1),ld(unit,ld(mult(X1,X2),ld(mult(X2,X1),mult(X1,X2))))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.316.0.2','0.9.2.0',theory(equality)]),
% 126.73/127.21 [pos('L','L')]).
% 126.73/127.21 cnf('0.316.0.4',plain,
% 126.73/127.21 ( unit = mult(mult(X2,X1),ld(mult(X1,X2),ld(mult(X2,X1),mult(X1,X2)))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.316.0.3','0.9.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.2','L')]).
% 126.73/127.21 cnf('0.316.0.5',plain,
% 126.73/127.21 ( unit = mult(mult(X2,X1),ld(mult(X1,X2),unit)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.316.0.4','0.315.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.2.2','L')]).
% 126.73/127.21 cnf('0.316.1.0',plain,
% 126.73/127.21 ( unit = mult(mult(X2,X1),ld(mult(X1,X2),unit)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.316.0.5']),
% 126.73/127.21 [weight('<109,315,34,[0,0,0,3]>')]).
% 126.73/127.21 cnf('0.316.2.0',plain,
% 126.73/127.21 ( mult(mult(X1,X2),ld(mult(X2,X1),unit)) = unit ),
% 126.73/127.21 inference(orient,[status(thm)],['0.316.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_313]).
% 126.73/127.21 cnf('0.317.0.0',plain,
% 126.73/127.21 ( unit = mult(ld(f(X1,X2),unit),ld(mult(ld(mult(X1,X2),X2),ld(mult(X1,X2),X1)),unit)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.316.2.0','0.22.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.317.0.1',plain,
% 126.73/127.21 ( unit = mult(ld(f(X1,X2),unit),ld(ld(f(X2,X1),unit),unit)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.317.0.0','0.24.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.2.1','L')]).
% 126.73/127.21 cnf('0.317.0.2',plain,
% 126.73/127.21 ( unit = mult(ld(f(X1,X2),unit),f(X2,X1)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.317.0.1','0.12.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.2','L')]).
% 126.73/127.21 cnf('0.317.1.0',plain,
% 126.73/127.21 ( unit = mult(ld(f(X1,X2),unit),f(X2,X1)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.317.0.2']),
% 126.73/127.21 [weight('<109,316,22,[1,0,0,1]>')]).
% 126.73/127.21 cnf('0.317.1.1',plain,
% 126.73/127.21 ( unit = mult(f(X2,X1),ld(f(X1,X2),unit)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.317.1.0','0.5.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.317.2.0',plain,
% 126.73/127.21 ( mult(f(X1,X2),ld(f(X2,X1),unit)) = unit ),
% 126.73/127.21 inference(orient,[status(thm)],['0.317.1.1',theory(equality)]),
% 126.73/127.21 [x,rule_314]).
% 126.73/127.21 cnf('0.318.0.0',plain,
% 126.73/127.21 ( ld(ld(ld(f(X1,X2),unit),unit),f(X2,X1)) = ld(ld(f(X1,X2),unit),ld(ld(ld(f(X1,X2),unit),unit),unit)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.289.2.0','0.317.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2','L')]).
% 126.73/127.21 cnf('0.318.0.1',plain,
% 126.73/127.21 ( ld(f(X1,X2),f(X2,X1)) = ld(ld(f(X1,X2),unit),ld(ld(ld(f(X1,X2),unit),unit),unit)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.318.0.0','0.12.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1','L')]).
% 126.73/127.21 cnf('0.318.0.2',plain,
% 126.73/127.21 ( ld(f(X1,X2),f(X2,X1)) = ld(ld(ld(f(X1,X2),unit),unit),f(X1,X2)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.318.0.1','0.304.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.318.0.3',plain,
% 126.73/127.21 ( ld(f(X1,X2),f(X2,X1)) = ld(f(X1,X2),f(X1,X2)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.318.0.2','0.12.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.1','L')]).
% 126.73/127.21 cnf('0.318.0.4',plain,
% 126.73/127.21 ( ld(f(X1,X2),f(X2,X1)) = unit ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.318.0.3','0.10.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.318.1.0',plain,
% 126.73/127.21 ( ld(f(X1,X2),f(X2,X1)) = unit ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.318.0.4']),
% 126.73/127.21 [weight('<71,317,289,[0,0,0,6]>')]).
% 126.73/127.21 cnf('0.318.2.0',plain,
% 126.73/127.21 ( ld(f(X1,X2),f(X2,X1)) = unit ),
% 126.73/127.21 inference(orient,[status(thm)],['0.318.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_315]).
% 126.73/127.21 cnf('0.319.0.0',plain,
% 126.73/127.21 ( mult(mult(X1,X2),mult(X2,X1)) = ld(ld(mult(X1,X2),unit),mult(mult(X1,X2),unit)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.294.2.0','0.316.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2','L')]).
% 126.73/127.21 cnf('0.319.0.1',plain,
% 126.73/127.21 ( mult(mult(X1,X2),mult(X2,X1)) = ld(ld(mult(X1,X2),unit),mult(X1,X2)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.319.0.0','0.2.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.2','L')]).
% 126.73/127.21 cnf('0.319.0.2',plain,
% 126.73/127.21 ( mult(mult(X1,X2),mult(X2,X1)) = f(mult(X1,X2),mult(X1,X2)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.319.0.1','0.67.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.319.1.0',plain,
% 126.73/127.21 ( mult(mult(X1,X2),mult(X2,X1)) = f(mult(X1,X2),mult(X1,X2)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.319.0.2']),
% 126.73/127.21 [weight('<119,316,294,[0,0,0,6]>')]).
% 126.73/127.21 cnf('0.319.2.0',plain,
% 126.73/127.21 ( mult(mult(X1,X2),mult(X2,X1)) = f(mult(X1,X2),mult(X1,X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.319.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_316]).
% 126.73/127.21 cnf('0.320.0.0',plain,
% 126.73/127.21 ( mult(f(X1,X2),f(X2,X1)) = ld(ld(f(X1,X2),unit),mult(f(X1,X2),unit)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.294.2.0','0.317.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2','L')]).
% 126.73/127.21 cnf('0.320.0.1',plain,
% 126.73/127.21 ( mult(f(X1,X2),f(X2,X1)) = ld(ld(f(X1,X2),unit),f(X1,X2)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.320.0.0','0.2.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.2','L')]).
% 126.73/127.21 cnf('0.320.0.2',plain,
% 126.73/127.21 ( mult(f(X1,X2),f(X2,X1)) = f(f(X1,X2),f(X1,X2)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.320.0.1','0.67.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.320.1.0',plain,
% 126.73/127.21 ( mult(f(X1,X2),f(X2,X1)) = f(f(X1,X2),f(X1,X2)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.320.0.2']),
% 126.73/127.21 [weight('<119,317,294,[0,0,0,6]>')]).
% 126.73/127.21 cnf('0.320.2.0',plain,
% 126.73/127.21 ( mult(f(X1,X2),f(X2,X1)) = f(f(X1,X2),f(X1,X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.320.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_317]).
% 126.73/127.21 cnf('0.340.0.0',plain,
% 126.73/127.21 ( f(mult(X1,X2),mult(X1,X2)) = mult(mult(X2,X1),mult(X1,X2)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.319.2.0','0.5.2.0',theory(equality)]),
% 126.73/127.21 [pos('L','L')]).
% 126.73/127.21 cnf('0.340.0.1',plain,
% 126.73/127.21 ( f(mult(X1,X2),mult(X1,X2)) = f(mult(X2,X1),mult(X2,X1)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.340.0.0','0.319.2.0',theory(equality)]),
% 126.73/127.21 [pos('R','L')]).
% 126.73/127.21 cnf('0.340.1.0',plain,
% 126.73/127.21 ( f(mult(X1,X2),mult(X1,X2)) = f(mult(X2,X1),mult(X2,X1)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.340.0.1']),
% 126.73/127.21 [weight('<224,319,5,[1,0,0,0]>')]).
% 126.73/127.21 cnf('0.340.2.0',plain,
% 126.73/127.21 ( f(mult(X1,X2),mult(X1,X2)) = f(mult(X2,X1),mult(X2,X1)) ),
% 126.73/127.21 inference(activate,[status(thm)],['0.340.1.0']),
% 126.73/127.21 [equation_4]).
% 126.73/127.21 cnf('0.380.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X2)))) = mult(X1,ld(mult(X1,X2),mult(X1,f(X2,X2)))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.208.2.0','0.64.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2.2','L')]).
% 126.73/127.21 cnf('0.380.1.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X2)))) = mult(X1,ld(mult(X1,X2),mult(X1,f(X2,X2)))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.380.0.0']),
% 126.73/127.21 [weight('<275,208,64,[1,0,0,8]>')]).
% 126.73/127.21 cnf('0.380.2.0',plain,
% 126.73/127.21 ( mult(X1,ld(mult(X1,X2),mult(X1,f(X2,X2)))) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X2)))) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.380.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_375]).
% 126.73/127.21 cnf('0.454.0.0',plain,
% 126.73/127.21 ( ld(X1,X2) = ld(ld(ld(ld(X1,X2),unit),X1),ld(ld(ld(X1,X2),unit),X2)) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.300.2.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2','L')]).
% 126.73/127.21 cnf('0.454.1.0',plain,
% 126.73/127.21 ( ld(X1,X2) = ld(ld(ld(ld(X1,X2),unit),X1),ld(ld(ld(X1,X2),unit),X2)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.454.0.0']),
% 126.73/127.21 [weight('<303,300,1,[1,0,0,10]>')]).
% 126.73/127.21 cnf('0.454.2.0',plain,
% 126.73/127.21 ( ld(ld(ld(ld(X1,X2),unit),X1),ld(ld(ld(X1,X2),unit),X2)) = ld(X1,X2) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.454.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_447]).
% 126.73/127.21 cnf('0.455.0.0',plain,
% 126.73/127.21 ( ld(X1,X2) = ld(mult(X1,ld(ld(X1,X2),unit)),mult(X2,ld(ld(X1,X2),unit))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.11.2.0','0.302.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.455.1.0',plain,
% 126.73/127.21 ( ld(X1,X2) = ld(mult(X1,ld(ld(X1,X2),unit)),mult(X2,ld(ld(X1,X2),unit))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.455.0.0']),
% 126.73/127.21 [weight('<303,302,11,[0,0,0,2]>')]).
% 126.73/127.21 cnf('0.455.2.0',plain,
% 126.73/127.21 ( ld(mult(X1,ld(ld(X1,X2),unit)),mult(X2,ld(ld(X1,X2),unit))) = ld(X1,X2) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.455.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_448]).
% 126.73/127.21 cnf('0.456.0.0',plain,
% 126.73/127.21 ( ld(ld(X1,X2),X2) = ld(mult(ld(X1,X2),ld(X1,unit)),mult(X2,ld(ld(ld(X1,X2),X2),unit))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.455.2.0','0.12.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1.2.1','L')]).
% 126.73/127.21 cnf('0.456.0.1',plain,
% 126.73/127.21 ( X1 = ld(mult(ld(X1,X2),ld(X1,unit)),mult(X2,ld(ld(ld(X1,X2),X2),unit))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.456.0.0','0.12.2.0',theory(equality)]),
% 126.73/127.21 [pos('L','L')]).
% 126.73/127.21 cnf('0.456.0.2',plain,
% 126.73/127.21 ( X1 = ld(ld(X1,mult(ld(X1,unit),X2)),mult(X2,ld(ld(ld(X1,X2),X2),unit))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.456.0.1','0.285.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.1','L')]).
% 126.73/127.21 cnf('0.456.0.3',plain,
% 126.73/127.21 ( X1 = ld(ld(X1,mult(ld(X1,unit),X2)),mult(X2,ld(X1,unit))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.456.0.2','0.12.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.2.2.1','L')]).
% 126.73/127.21 cnf('0.456.1.0',plain,
% 126.73/127.21 ( X1 = ld(ld(X1,mult(ld(X1,unit),X2)),mult(X2,ld(X1,unit))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.456.0.3']),
% 126.73/127.21 [weight('<209,455,12,[1,0,0,4]>')]).
% 126.73/127.21 cnf('0.456.2.0',plain,
% 126.73/127.21 ( ld(ld(X1,mult(ld(X1,unit),X2)),mult(X2,ld(X1,unit))) = X1 ),
% 126.73/127.21 inference(orient,[status(thm)],['0.456.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_449]).
% 126.73/127.21 cnf('0.457.0.0',plain,
% 126.73/127.21 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(X1,X2)),mult(X2,ld(ld(X1,unit),unit))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.456.2.0','0.12.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.1.2.1','L')]).
% 126.73/127.21 cnf('0.457.0.1',plain,
% 126.73/127.21 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(X1,X2)),mult(X2,X1)) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.457.0.0','0.12.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.2.2','L')]).
% 126.73/127.21 cnf('0.457.1.0',plain,
% 126.73/127.21 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(X1,X2)),mult(X2,X1)) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.457.0.1']),
% 126.73/127.21 [weight('<179,456,12,[1,0,0,4]>')]).
% 126.73/127.21 cnf('0.457.2.0',plain,
% 126.73/127.21 ( ld(ld(ld(X1,unit),mult(X1,X2)),mult(X2,X1)) = ld(X1,unit) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.457.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_450]).
% 126.73/127.21 cnf('0.496.0.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,ld(X2,X3))))) = mult(X1,ld(mult(X1,X2),mult(X1,X3))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.208.2.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2.2','L')]).
% 126.73/127.21 cnf('0.496.1.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,ld(X2,X3))))) = mult(X1,ld(mult(X1,X2),mult(X1,X3))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.496.0.0']),
% 126.73/127.21 [weight('<321,208,1,[1,0,0,8]>')]).
% 126.73/127.21 cnf('0.496.2.0',plain,
% 126.73/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,ld(X2,X3))))) = mult(X1,ld(mult(X1,X2),mult(X1,X3))) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.496.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_483]).
% 126.73/127.21 cnf('0.497.0.0',plain,
% 126.73/127.21 ( mult(X1,ld(mult(X1,ld(X1,X2)),mult(X1,unit))) = ld(mult(X1,ld(X1,X2)),mult(X1,mult(X2,ld(ld(X1,X2),unit)))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.496.2.0','0.302.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2','L')]).
% 126.73/127.21 cnf('0.497.0.1',plain,
% 126.73/127.21 ( mult(X1,ld(X2,mult(X1,unit))) = ld(mult(X1,ld(X1,X2)),mult(X1,mult(X2,ld(ld(X1,X2),unit)))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.497.0.0','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.1','L')]).
% 126.73/127.21 cnf('0.497.0.2',plain,
% 126.73/127.21 ( mult(X1,ld(X2,X1)) = ld(mult(X1,ld(X1,X2)),mult(X1,mult(X2,ld(ld(X1,X2),unit)))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.497.0.1','0.2.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2','L')]).
% 126.73/127.21 cnf('0.497.0.3',plain,
% 126.73/127.21 ( mult(X1,ld(X2,X1)) = ld(X2,mult(X1,mult(X2,ld(ld(X1,X2),unit)))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.497.0.2','0.1.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.1','L')]).
% 126.73/127.21 cnf('0.497.1.0',plain,
% 126.73/127.21 ( mult(X1,ld(X2,X1)) = ld(X2,mult(X1,mult(X2,ld(ld(X1,X2),unit)))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.497.0.3']),
% 126.73/127.21 [weight('<203,496,302,[1,0,0,6]>')]).
% 126.73/127.21 cnf('0.497.2.0',plain,
% 126.73/127.21 ( ld(X1,mult(X2,mult(X1,ld(ld(X2,X1),unit)))) = mult(X2,ld(X1,X2)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.497.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_484]).
% 126.73/127.21 cnf('0.498.0.0',plain,
% 126.73/127.21 ( mult(X1,mult(X2,ld(ld(X1,X2),unit))) = mult(X2,mult(X1,ld(X2,X1))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.1.2.0','0.497.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.498.1.0',plain,
% 126.73/127.21 ( mult(X1,mult(X2,ld(ld(X1,X2),unit))) = mult(X2,mult(X1,ld(X2,X1))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.498.0.0']),
% 126.73/127.21 [weight('<169,497,1,[0,0,0,2]>')]).
% 126.73/127.21 cnf('0.498.2.0',plain,
% 126.73/127.21 ( mult(X1,mult(X2,ld(ld(X1,X2),unit))) = mult(X2,mult(X1,ld(X2,X1))) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.498.1.0',theory(equality)]),
% 126.73/127.21 [u,rule_485]).
% 126.73/127.21 cnf('0.499.0.0',plain,
% 126.73/127.21 ( mult(X1,ld(ld(X2,X1),unit)) = ld(X2,mult(X1,mult(X2,ld(X1,X2)))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.4.2.0','0.498.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2','L')]).
% 126.73/127.21 cnf('0.499.1.0',plain,
% 126.73/127.21 ( mult(X1,ld(ld(X2,X1),unit)) = ld(X2,mult(X1,mult(X2,ld(X1,X2)))) ),
% 126.73/127.21 inference(weigh,[status(thm)],['0.499.0.0']),
% 126.73/127.21 [weight('<169,498,4,[0,0,0,2]>')]).
% 126.73/127.21 cnf('0.499.2.0',plain,
% 126.73/127.21 ( ld(X1,mult(X2,mult(X1,ld(X2,X1)))) = mult(X2,ld(ld(X1,X2),unit)) ),
% 126.73/127.21 inference(orient,[status(thm)],['0.499.1.0',theory(equality)]),
% 126.73/127.21 [x,rule_486]).
% 126.73/127.21 cnf('0.500.0.0',plain,
% 126.73/127.21 ( mult(X1,ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2)))) = ld(mult(X1,mult(X2,X3)),mult(X1,mult(mult(X2,X3),mult(X1,unit)))) ),
% 126.73/127.21 inference(cp,[status(thm)],['0.496.2.0','0.315.2.0',theory(equality)]),
% 126.73/127.21 [pos('L.2.2.2.2','L')]).
% 126.73/127.21 cnf('0.500.0.1',plain,
% 126.73/127.21 ( mult(X1,ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2)))) = ld(mult(X1,mult(X2,X3)),mult(X1,mult(mult(X2,X3),X1))) ),
% 126.73/127.21 inference(reduction,[status(thm)],['0.500.0.0','0.2.2.0',theory(equality)]),
% 126.73/127.21 [pos('R.2.2.2','L')]).
% 126.83/127.21 cnf('0.500.0.2',plain,
% 126.83/127.21 ( mult(X1,ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2)))) = X1 ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.500.0.1','0.209.2.0',theory(equality)]),
% 126.83/127.21 [pos('R','L')]).
% 126.83/127.21 cnf('0.500.1.0',plain,
% 126.83/127.21 ( mult(X1,ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2)))) = X1 ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.500.0.2']),
% 126.83/127.21 [weight('<209,496,315,[1,0,0,10]>')]).
% 126.83/127.21 cnf('0.500.2.0',plain,
% 126.83/127.21 ( mult(X1,ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2)))) = X1 ),
% 126.83/127.21 inference(orient,[status(thm)],['0.500.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_487]).
% 126.83/127.21 cnf('0.501.0.0',plain,
% 126.83/127.21 ( ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2))) = ld(X1,X1) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.4.2.0','0.500.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.501.0.1',plain,
% 126.83/127.21 ( ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2))) = unit ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.501.0.0','0.10.2.0',theory(equality)]),
% 126.83/127.21 [pos('R','L')]).
% 126.83/127.21 cnf('0.501.1.0',plain,
% 126.83/127.21 ( ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2))) = unit ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.501.0.1']),
% 126.83/127.21 [weight('<155,500,4,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.501.2.0',plain,
% 126.83/127.21 ( ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2))) = unit ),
% 126.83/127.21 inference(orient,[status(thm)],['0.501.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_488]).
% 126.83/127.21 cnf('0.502.0.0',plain,
% 126.83/127.21 ( unit = ld(mult(mult(X1,X2),X3),mult(X3,mult(X2,X1))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.501.2.0','0.5.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.502.1.0',plain,
% 126.83/127.21 ( unit = ld(mult(mult(X1,X2),X3),mult(X3,mult(X2,X1))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.502.0.0']),
% 126.83/127.21 [weight('<155,501,5,[1,0,0,1]>')]).
% 126.83/127.21 cnf('0.502.2.0',plain,
% 126.83/127.21 ( ld(mult(mult(X1,X2),X3),mult(X3,mult(X2,X1))) = unit ),
% 126.83/127.21 inference(orient,[status(thm)],['0.502.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_489]).
% 126.83/127.21 cnf('0.503.0.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,X3)) = mult(mult(mult(X3,X2),X1),unit) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1.2.0','0.502.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.503.0.1',plain,
% 126.83/127.21 ( mult(X1,mult(X2,X3)) = mult(mult(X3,X2),X1) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.503.0.0','0.2.2.0',theory(equality)]),
% 126.83/127.21 [pos('R','L')]).
% 126.83/127.21 cnf('0.503.1.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,X3)) = mult(mult(X3,X2),X1) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.503.0.1']),
% 126.83/127.21 [weight('<120,502,1,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.503.2.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,X3)) = mult(mult(X3,X2),X1) ),
% 126.83/127.21 inference(activate,[status(thm)],['0.503.1.0']),
% 126.83/127.21 [equation_14]).
% 126.83/127.21 cnf('0.507.0.0',plain,
% 126.83/127.21 ( unit = ld(mult(mult(X1,X2),X3),mult(mult(X2,X1),X3)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.502.2.0','0.5.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.507.1.0',plain,
% 126.83/127.21 ( unit = ld(mult(mult(X1,X2),X3),mult(mult(X2,X1),X3)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.507.0.0']),
% 126.83/127.21 [weight('<155,502,5,[1,0,0,6]>')]).
% 126.83/127.21 cnf('0.507.2.0',plain,
% 126.83/127.21 ( ld(mult(mult(X1,X2),X3),mult(mult(X2,X1),X3)) = unit ),
% 126.83/127.21 inference(orient,[status(thm)],['0.507.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_493]).
% 126.83/127.21 cnf('0.508.0.0',plain,
% 126.83/127.21 ( unit = ld(X1,mult(mult(X2,X3),ld(mult(X3,X2),X1))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.507.2.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.508.1.0',plain,
% 126.83/127.21 ( unit = ld(X1,mult(mult(X2,X3),ld(mult(X3,X2),X1))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.508.0.0']),
% 126.83/127.21 [weight('<155,507,1,[1,0,0,1]>')]).
% 126.83/127.21 cnf('0.508.2.0',plain,
% 126.83/127.21 ( ld(X1,mult(mult(X2,X3),ld(mult(X3,X2),X1))) = unit ),
% 126.83/127.21 inference(orient,[status(thm)],['0.508.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_494]).
% 126.83/127.21 cnf('0.509.0.0',plain,
% 126.83/127.21 ( mult(mult(X1,X2),ld(mult(X2,X1),X3)) = mult(X3,unit) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1.2.0','0.508.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.509.0.1',plain,
% 126.83/127.21 ( mult(mult(X1,X2),ld(mult(X2,X1),X3)) = X3 ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.509.0.0','0.2.2.0',theory(equality)]),
% 126.83/127.21 [pos('R','L')]).
% 126.83/127.21 cnf('0.509.1.0',plain,
% 126.83/127.21 ( mult(mult(X1,X2),ld(mult(X2,X1),X3)) = X3 ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.509.0.1']),
% 126.83/127.21 [weight('<109,508,1,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.509.2.0',plain,
% 126.83/127.21 ( mult(mult(X1,X2),ld(mult(X2,X1),X3)) = X3 ),
% 126.83/127.21 inference(orient,[status(thm)],['0.509.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_495]).
% 126.83/127.21 cnf('0.511.0.0',plain,
% 126.83/127.21 ( mult(X1,ld(mult(X1,f(X2,X3)),mult(X1,f(X3,X2)))) = ld(mult(X1,f(X2,X3)),mult(X1,mult(f(X2,X3),mult(X1,unit)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.496.2.0','0.318.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.2.2','L')]).
% 126.83/127.21 cnf('0.511.0.1',plain,
% 126.83/127.21 ( mult(X1,ld(mult(X1,f(X2,X3)),mult(X1,f(X3,X2)))) = ld(mult(X1,f(X2,X3)),mult(X1,mult(f(X2,X3),X1))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.511.0.0','0.2.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.2.2','L')]).
% 126.83/127.21 cnf('0.511.0.2',plain,
% 126.83/127.21 ( mult(X1,ld(mult(X1,f(X2,X3)),mult(X1,f(X3,X2)))) = X1 ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.511.0.1','0.209.2.0',theory(equality)]),
% 126.83/127.21 [pos('R','L')]).
% 126.83/127.21 cnf('0.511.1.0',plain,
% 126.83/127.21 ( mult(X1,ld(mult(X1,f(X2,X3)),mult(X1,f(X3,X2)))) = X1 ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.511.0.2']),
% 126.83/127.21 [weight('<209,496,318,[1,0,0,10]>')]).
% 126.83/127.21 cnf('0.511.2.0',plain,
% 126.83/127.21 ( mult(X1,ld(mult(X1,f(X2,X3)),mult(X1,f(X3,X2)))) = X1 ),
% 126.83/127.21 inference(orient,[status(thm)],['0.511.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_497]).
% 126.83/127.21 cnf('0.512.0.0',plain,
% 126.83/127.21 ( ld(mult(X1,f(X2,X3)),mult(X1,f(X3,X2))) = ld(X1,X1) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.4.2.0','0.511.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.512.0.1',plain,
% 126.83/127.21 ( ld(mult(X1,f(X2,X3)),mult(X1,f(X3,X2))) = unit ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.512.0.0','0.10.2.0',theory(equality)]),
% 126.83/127.21 [pos('R','L')]).
% 126.83/127.21 cnf('0.512.1.0',plain,
% 126.83/127.21 ( ld(mult(X1,f(X2,X3)),mult(X1,f(X3,X2))) = unit ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.512.0.1']),
% 126.83/127.21 [weight('<155,511,4,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.512.2.0',plain,
% 126.83/127.21 ( ld(mult(X1,f(X2,X3)),mult(X1,f(X3,X2))) = unit ),
% 126.83/127.21 inference(orient,[status(thm)],['0.512.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_498]).
% 126.83/127.21 cnf('0.513.0.0',plain,
% 126.83/127.21 ( mult(X1,f(X2,X3)) = mult(mult(f(X3,X2),X1),unit) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.509.2.0','0.512.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.513.0.1',plain,
% 126.83/127.21 ( mult(X1,f(X2,X3)) = mult(f(X3,X2),X1) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.513.0.0','0.2.2.0',theory(equality)]),
% 126.83/127.21 [pos('R','L')]).
% 126.83/127.21 cnf('0.513.1.0',plain,
% 126.83/127.21 ( mult(X1,f(X2,X3)) = mult(f(X3,X2),X1) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.513.0.1']),
% 126.83/127.21 [weight('<120,512,509,[0,0,0,4]>')]).
% 126.83/127.21 cnf('0.513.2.0',plain,
% 126.83/127.21 ( mult(X1,f(X2,X3)) = mult(f(X3,X2),X1) ),
% 126.83/127.21 inference(activate,[status(thm)],['0.513.1.0']),
% 126.83/127.21 [equation_15]).
% 126.83/127.21 cnf('0.582.0.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(mult(X1,X2),X1),unit)) = ld(mult(X1,X2),mult(X1,mult(mult(X1,X2),X2))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.499.2.0','0.4.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.2','L')]).
% 126.83/127.21 cnf('0.582.1.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(mult(X1,X2),X1),unit)) = ld(mult(X1,X2),mult(X1,mult(mult(X1,X2),X2))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.582.0.0']),
% 126.83/127.21 [weight('<251,499,4,[1,0,0,6]>')]).
% 126.83/127.21 cnf('0.582.1.1',plain,
% 126.83/127.21 ( mult(X1,ld(ld(mult(X1,X2),X1),unit)) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X2,X1)))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.582.1.0','0.503.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.2','R')]).
% 126.83/127.21 cnf('0.582.2.0',plain,
% 126.83/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X2,X1)))) = mult(X1,ld(ld(mult(X1,X2),X1),unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.582.1.1',theory(equality)]),
% 126.83/127.21 [x,rule_551]).
% 126.83/127.21 cnf('0.590.0.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(mult(X1,X2),X1),unit)) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X2)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.582.2.0','0.5.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.2','L')]).
% 126.83/127.21 cnf('0.590.1.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(mult(X1,X2),X1),unit)) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X2)))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.590.0.0']),
% 126.83/127.21 [weight('<251,582,5,[1,0,0,8]>')]).
% 126.83/127.21 cnf('0.590.2.0',plain,
% 126.83/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X2)))) = mult(X1,ld(ld(mult(X1,X2),X1),unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.590.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_559]).
% 126.83/127.21 cnf('0.591.0.0',plain,
% 126.83/127.21 ( mult(X1,ld(mult(X1,X2),mult(X1,f(X2,X2)))) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X2)))) ),
% 126.83/127.21 inference(interreduction_right,[status(thm)],['0.380.2.0'])).
% 126.83/127.21 cnf('0.591.0.1',plain,
% 126.83/127.21 ( mult(X1,ld(mult(X1,X2),mult(X1,f(X2,X2)))) = mult(X1,ld(ld(mult(X1,X2),X1),unit)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.591.0.0','0.590.2.0',theory(equality)]),
% 126.83/127.21 [pos('R','L')]).
% 126.83/127.21 cnf('0.591.1.0',plain,
% 126.83/127.21 ( mult(X1,ld(mult(X1,X2),mult(X1,f(X2,X2)))) = mult(X1,ld(ld(mult(X1,X2),X1),unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.591.0.1']),
% 126.83/127.21 [weight('<251,380,590,[0,0,0,0]>')]).
% 126.83/127.21 cnf('0.591.2.0',plain,
% 126.83/127.21 ( mult(X1,ld(mult(X1,X2),mult(X1,f(X2,X2)))) = mult(X1,ld(ld(mult(X1,X2),X1),unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.591.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_560]).
% 126.83/127.21 cnf('0.592.0.0',plain,
% 126.83/127.21 ( ld(mult(X1,X2),mult(X1,f(X2,X2))) = ld(X1,mult(X1,ld(ld(mult(X1,X2),X1),unit))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.4.2.0','0.591.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.592.0.1',plain,
% 126.83/127.21 ( ld(mult(X1,X2),mult(X1,f(X2,X2))) = ld(ld(mult(X1,X2),X1),unit) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.592.0.0','0.4.2.0',theory(equality)]),
% 126.83/127.21 [pos('R','L')]).
% 126.83/127.21 cnf('0.592.1.0',plain,
% 126.83/127.21 ( ld(mult(X1,X2),mult(X1,f(X2,X2))) = ld(ld(mult(X1,X2),X1),unit) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.592.0.1']),
% 126.83/127.21 [weight('<169,591,4,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.592.2.0',plain,
% 126.83/127.21 ( ld(mult(X1,X2),mult(X1,f(X2,X2))) = ld(ld(mult(X1,X2),X1),unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.592.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_561]).
% 126.83/127.21 cnf('0.593.0.0',plain,
% 126.83/127.21 ( ld(ld(mult(X1,X2),X1),unit) = ld(mult(X2,X1),mult(X1,f(X2,X2))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.592.2.0','0.5.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.593.1.0',plain,
% 126.83/127.21 ( ld(ld(mult(X1,X2),X1),unit) = ld(mult(X2,X1),mult(X1,f(X2,X2))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.593.0.0']),
% 126.83/127.21 [weight('<169,592,5,[1,0,0,1]>')]).
% 126.83/127.21 cnf('0.593.2.0',plain,
% 126.83/127.21 ( ld(mult(X1,X2),mult(X2,f(X1,X1))) = ld(ld(mult(X2,X1),X2),unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.593.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_562]).
% 126.83/127.21 cnf('0.596.0.0',plain,
% 126.83/127.21 ( mult(X1,f(X2,X2)) = mult(mult(X1,X2),ld(ld(mult(X1,X2),X1),unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1.2.0','0.592.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.596.1.0',plain,
% 126.83/127.21 ( mult(X1,f(X2,X2)) = mult(mult(X1,X2),ld(ld(mult(X1,X2),X1),unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.596.0.0']),
% 126.83/127.21 [weight('<203,592,1,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.596.2.0',plain,
% 126.83/127.21 ( mult(mult(X1,X2),ld(ld(mult(X1,X2),X1),unit)) = mult(X1,f(X2,X2)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.596.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_565]).
% 126.83/127.21 cnf('0.597.0.0',plain,
% 126.83/127.21 ( mult(X1,f(ld(X1,X2),ld(X1,X2))) = mult(X2,ld(ld(mult(X1,ld(X1,X2)),X1),unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.596.2.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.597.0.1',plain,
% 126.83/127.21 ( mult(X1,f(ld(X1,X2),ld(X1,X2))) = mult(X2,ld(ld(X2,X1),unit)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.597.0.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.1.1','L')]).
% 126.83/127.21 cnf('0.597.1.0',plain,
% 126.83/127.21 ( mult(X1,f(ld(X1,X2),ld(X1,X2))) = mult(X2,ld(ld(X2,X1),unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.597.0.1']),
% 126.83/127.21 [weight('<169,596,1,[1,0,0,1]>')]).
% 126.83/127.21 cnf('0.597.2.0',plain,
% 126.83/127.21 ( mult(X1,f(ld(X1,X2),ld(X1,X2))) = mult(X2,ld(ld(X2,X1),unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.597.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_566]).
% 126.83/127.21 cnf('0.606.0.0',plain,
% 126.83/127.21 ( mult(ld(X1,X2),mult(X1,f(ld(X1,X2),ld(X1,X2)))) = mult(X2,f(ld(X1,X2),ld(X1,X2))) ),
% 126.83/127.21 inference(interreduction_right,[status(thm)],['0.199.2.0'])).
% 126.83/127.21 cnf('0.606.0.1',plain,
% 126.83/127.21 ( mult(ld(X1,X2),mult(X2,ld(ld(X2,X1),unit))) = mult(X2,f(ld(X1,X2),ld(X1,X2))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.606.0.0','0.597.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.606.1.0',plain,
% 126.83/127.21 ( mult(ld(X1,X2),mult(X2,ld(ld(X2,X1),unit))) = mult(X2,f(ld(X1,X2),ld(X1,X2))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.606.0.1']),
% 126.83/127.21 [weight('<251,199,597,[0,0,0,0]>')]).
% 126.83/127.21 cnf('0.606.2.0',plain,
% 126.83/127.21 ( mult(ld(X1,X2),mult(X2,ld(ld(X2,X1),unit))) = mult(X2,f(ld(X1,X2),ld(X1,X2))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.606.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_575]).
% 126.83/127.21 cnf('0.607.0.0',plain,
% 126.83/127.21 ( mult(X1,f(ld(ld(X2,X1),X1),ld(ld(X2,X1),X1))) = mult(X2,mult(X1,ld(ld(X1,ld(X2,X1)),unit))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.606.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.607.0.1',plain,
% 126.83/127.21 ( mult(X1,f(X2,ld(ld(X2,X1),X1))) = mult(X2,mult(X1,ld(ld(X1,ld(X2,X1)),unit))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.607.0.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1','L')]).
% 126.83/127.21 cnf('0.607.0.2',plain,
% 126.83/127.21 ( mult(X1,f(X2,X2)) = mult(X2,mult(X1,ld(ld(X1,ld(X2,X1)),unit))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.607.0.1','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2','L')]).
% 126.83/127.21 cnf('0.607.1.0',plain,
% 126.83/127.21 ( mult(X1,f(X2,X2)) = mult(X2,mult(X1,ld(ld(X1,ld(X2,X1)),unit))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.607.0.2']),
% 126.83/127.21 [weight('<203,606,12,[1,0,0,1]>')]).
% 126.83/127.21 cnf('0.607.2.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(ld(X2,ld(X1,X2)),unit))) = mult(X2,f(X1,X1)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.607.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_576]).
% 126.83/127.21 cnf('0.614.0.0',plain,
% 126.83/127.21 ( ld(ld(mult(ld(X1,X2),X1),ld(X1,X2)),unit) = ld(X2,mult(ld(X1,X2),f(X1,X1))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.593.2.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.614.0.1',plain,
% 126.83/127.21 ( ld(ld(mult(ld(X1,X2),X1),ld(X1,X2)),unit) = ld(X2,ld(X1,mult(f(X1,X1),X2))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.614.0.0','0.87.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2','L')]).
% 126.83/127.21 cnf('0.614.1.0',plain,
% 126.83/127.21 ( ld(ld(mult(ld(X1,X2),X1),ld(X1,X2)),unit) = ld(X2,ld(X1,mult(f(X1,X1),X2))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.614.0.1']),
% 126.83/127.21 [weight('<251,593,1,[1,0,0,1]>')]).
% 126.83/127.21 cnf('0.614.1.1',plain,
% 126.83/127.21 ( ld(ld(mult(X1,ld(X1,X2)),ld(X1,X2)),unit) = ld(X2,ld(X1,mult(f(X1,X1),X2))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.614.1.0','0.5.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.1','L')]).
% 126.83/127.21 cnf('0.614.1.2',plain,
% 126.83/127.21 ( ld(ld(X2,ld(X1,X2)),unit) = ld(X2,ld(X1,mult(f(X1,X1),X2))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.614.1.1','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.1','L')]).
% 126.83/127.21 cnf('0.614.2.0',plain,
% 126.83/127.21 ( ld(X1,ld(X2,mult(f(X2,X2),X1))) = ld(ld(X1,ld(X2,X1)),unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.614.1.2',theory(equality)]),
% 126.83/127.21 [x,rule_583]).
% 126.83/127.21 cnf('0.615.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,X1)),unit) = ld(X1,ld(X2,mult(X1,f(X2,X2)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.614.2.0','0.5.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2','L')]).
% 126.83/127.21 cnf('0.615.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,X1)),unit) = ld(X1,ld(X2,mult(X1,f(X2,X2)))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.615.0.0']),
% 126.83/127.21 [weight('<169,614,5,[1,0,0,4]>')]).
% 126.83/127.21 cnf('0.615.2.0',plain,
% 126.83/127.21 ( ld(X1,ld(X2,mult(X1,f(X2,X2)))) = ld(ld(X1,ld(X2,X1)),unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.615.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_584]).
% 126.83/127.21 cnf('0.741.0.0',plain,
% 126.83/127.21 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(mult(X2,X3),X1)),mult(mult(X3,X2),X1)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.457.2.0','0.503.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.2','L')]).
% 126.83/127.21 cnf('0.741.1.0',plain,
% 126.83/127.21 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(mult(X2,X3),X1)),mult(mult(X3,X2),X1)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.741.0.0']),
% 126.83/127.21 [weight('<303,503,457,[0,0,0,5]>')]).
% 126.83/127.21 cnf('0.741.2.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,unit),mult(mult(X2,X3),X1)),mult(mult(X3,X2),X1)) = ld(X1,unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.741.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_695]).
% 126.83/127.21 cnf('0.742.0.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,unit),mult(mult(X2,X3),X1)),mult(mult(X3,X2),X1)) = ld(ld(ld(ld(X1,unit),unit),ld(ld(X1,unit),mult(mult(X2,X3),X1))),ld(ld(ld(ld(ld(X1,unit),mult(mult(X2,X3),X1)),mult(mult(X3,X2),X1)),unit),mult(mult(X3,X2),X1))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.454.2.0','0.741.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.1.1','L')]).
% 126.83/127.21 cnf('0.742.0.1',plain,
% 126.83/127.21 ( ld(X1,unit) = ld(ld(ld(ld(X1,unit),unit),ld(ld(X1,unit),mult(mult(X2,X3),X1))),ld(ld(ld(ld(ld(X1,unit),mult(mult(X2,X3),X1)),mult(mult(X3,X2),X1)),unit),mult(mult(X3,X2),X1))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.742.0.0','0.741.2.0',theory(equality)]),
% 126.83/127.21 [pos('L','L')]).
% 126.83/127.21 cnf('0.742.0.2',plain,
% 126.83/127.21 ( ld(X1,unit) = ld(ld(ld(X1,unit),ld(ld(ld(X1,unit),unit),mult(mult(X2,X3),X1))),ld(ld(ld(ld(ld(X1,unit),mult(mult(X2,X3),X1)),mult(mult(X3,X2),X1)),unit),mult(mult(X3,X2),X1))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.742.0.1','0.288.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.1','L')]).
% 126.83/127.21 cnf('0.742.0.3',plain,
% 126.83/127.21 ( ld(X1,unit) = ld(ld(ld(X1,unit),ld(X1,mult(mult(X2,X3),X1))),ld(ld(ld(ld(ld(X1,unit),mult(mult(X2,X3),X1)),mult(mult(X3,X2),X1)),unit),mult(mult(X3,X2),X1))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.742.0.2','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.1.2.1','L')]).
% 126.83/127.21 cnf('0.742.0.4',plain,
% 126.83/127.21 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(X2,X3)),ld(ld(ld(ld(ld(X1,unit),mult(mult(X2,X3),X1)),mult(mult(X3,X2),X1)),unit),mult(mult(X3,X2),X1))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.742.0.3','0.11.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.1.2','L')]).
% 126.83/127.21 cnf('0.742.0.5',plain,
% 126.83/127.21 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(X2,X3)),ld(ld(ld(X1,unit),unit),mult(mult(X3,X2),X1))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.742.0.4','0.741.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.1.1','L')]).
% 126.83/127.21 cnf('0.742.0.6',plain,
% 126.83/127.21 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(X2,X3)),ld(X1,mult(mult(X3,X2),X1))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.742.0.5','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.1','L')]).
% 126.83/127.21 cnf('0.742.0.7',plain,
% 126.83/127.21 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(X2,X3)),mult(X3,X2)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.742.0.6','0.11.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2','L')]).
% 126.83/127.21 cnf('0.742.1.0',plain,
% 126.83/127.21 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(X2,X3)),mult(X3,X2)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.742.0.7']),
% 126.83/127.21 [weight('<179,741,454,[0,0,0,3]>')]).
% 126.83/127.21 cnf('0.742.2.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,unit),mult(X2,X3)),mult(X3,X2)) = ld(X1,unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.742.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_696]).
% 126.83/127.21 cnf('0.743.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),unit) = ld(ld(X1,mult(X2,X3)),mult(X3,X2)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.742.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.1','L')]).
% 126.83/127.21 cnf('0.743.0.1',plain,
% 126.83/127.21 ( X1 = ld(ld(X1,mult(X2,X3)),mult(X3,X2)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.743.0.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L','L')]).
% 126.83/127.21 cnf('0.743.1.0',plain,
% 126.83/127.21 ( X1 = ld(ld(X1,mult(X2,X3)),mult(X3,X2)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.743.0.1']),
% 126.83/127.21 [weight('<109,742,12,[1,0,0,2]>')]).
% 126.83/127.21 cnf('0.743.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,mult(X2,X3)),mult(X3,X2)) = X1 ),
% 126.83/127.21 inference(orient,[status(thm)],['0.743.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_697]).
% 126.83/127.21 cnf('0.747.0.0',plain,
% 126.83/127.21 ( X1 = ld(ld(X1,mult(f(X2,X3),X4)),mult(f(X3,X2),X4)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.743.2.0','0.513.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.2','L')]).
% 126.83/127.21 cnf('0.747.1.0',plain,
% 126.83/127.21 ( X1 = ld(ld(X1,mult(f(X2,X3),X4)),mult(f(X3,X2),X4)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.747.0.0']),
% 126.83/127.21 [weight('<209,743,513,[1,0,0,3]>')]).
% 126.83/127.21 cnf('0.747.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,mult(f(X2,X3),X4)),mult(f(X3,X2),X4)) = X1 ),
% 126.83/127.21 inference(orient,[status(thm)],['0.747.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_701]).
% 126.83/127.21 cnf('0.748.0.0',plain,
% 126.83/127.21 ( X1 = ld(ld(X1,f(X2,X3)),mult(f(X3,X2),unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.747.2.0','0.2.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.2','L')]).
% 126.83/127.21 cnf('0.748.0.1',plain,
% 126.83/127.21 ( X1 = ld(ld(X1,f(X2,X3)),f(X3,X2)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.748.0.0','0.2.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2','L')]).
% 126.83/127.21 cnf('0.748.1.0',plain,
% 126.83/127.21 ( X1 = ld(ld(X1,f(X2,X3)),f(X3,X2)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.748.0.1']),
% 126.83/127.21 [weight('<109,747,2,[1,0,0,3]>')]).
% 126.83/127.21 cnf('0.748.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,f(X2,X3)),f(X3,X2)) = X1 ),
% 126.83/127.21 inference(orient,[status(thm)],['0.748.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_702]).
% 126.83/127.21 cnf('0.752.0.0',plain,
% 126.83/127.21 ( X1 = ld(ld(X1,mult(X2,f(X3,X4))),mult(f(X4,X3),X2)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.747.2.0','0.5.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.2','L')]).
% 126.83/127.21 cnf('0.752.1.0',plain,
% 126.83/127.21 ( X1 = ld(ld(X1,mult(X2,f(X3,X4))),mult(f(X4,X3),X2)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.752.0.0']),
% 126.83/127.21 [weight('<209,747,5,[1,0,0,3]>')]).
% 126.83/127.21 cnf('0.752.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,mult(X2,f(X3,X4))),mult(f(X4,X3),X2)) = X1 ),
% 126.83/127.21 inference(orient,[status(thm)],['0.752.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_706]).
% 126.83/127.21 cnf('0.766.0.0',plain,
% 126.83/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,X3))) = ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3))))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.4.2.0','0.208.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.766.1.0',plain,
% 126.83/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,X3))) = ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3))))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.766.0.0']),
% 126.83/127.21 [weight('<321,208,4,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.766.2.0',plain,
% 126.83/127.21 ( ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3))))) = ld(mult(X1,X2),mult(X1,mult(X2,X3))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.766.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_720]).
% 126.83/127.21 cnf('0.767.0.0',plain,
% 126.83/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,ld(X1,X3)))) = ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.766.2.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.2.2','L')]).
% 126.83/127.21 cnf('0.767.1.0',plain,
% 126.83/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,ld(X1,X3)))) = ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3)))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.767.0.0']),
% 126.83/127.21 [weight('<275,766,1,[1,0,0,10]>')]).
% 126.83/127.21 cnf('0.767.2.0',plain,
% 126.83/127.21 ( ld(mult(X1,X2),mult(X1,mult(X2,ld(X1,X3)))) = ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3)))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.767.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_721]).
% 126.83/127.21 cnf('0.1159.0.0',plain,
% 126.83/127.21 ( ld(unit,mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),X3)))) = mult(ld(unit,mult(X1,ld(X1,mult(ld(X1,unit),X2)))),ld(unit,mult(X1,mult(ld(X1,unit),X3)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.106.2.0','0.284.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.2.2','L')]).
% 126.83/127.21 cnf('0.1159.0.1',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),X3))) = mult(ld(unit,mult(X1,ld(X1,mult(ld(X1,unit),X2)))),ld(unit,mult(X1,mult(ld(X1,unit),X3)))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1159.0.0','0.9.2.0',theory(equality)]),
% 126.83/127.21 [pos('L','L')]).
% 126.83/127.21 cnf('0.1159.0.2',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),X3))) = mult(mult(X1,ld(X1,mult(ld(X1,unit),X2))),ld(unit,mult(X1,mult(ld(X1,unit),X3)))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1159.0.1','0.9.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.1','L')]).
% 126.83/127.21 cnf('0.1159.0.3',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),X3))) = mult(mult(ld(X1,unit),X2),ld(unit,mult(X1,mult(ld(X1,unit),X3)))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1159.0.2','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.1','L')]).
% 126.83/127.21 cnf('0.1159.0.4',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),X3))) = mult(mult(ld(X1,unit),X2),mult(X1,mult(ld(X1,unit),X3))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1159.0.3','0.9.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2','L')]).
% 126.83/127.21 cnf('0.1159.1.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),X3))) = mult(mult(ld(X1,unit),X2),mult(X1,mult(ld(X1,unit),X3))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1159.0.4']),
% 126.83/127.21 [weight('<349,284,106,[0,0,0,5]>')]).
% 126.83/127.21 cnf('0.1159.2.0',plain,
% 126.83/127.21 ( mult(mult(ld(X1,unit),X2),mult(X1,mult(ld(X1,unit),X3))) = mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),X3))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1159.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1108]).
% 126.83/127.21 cnf('0.1322.0.0',plain,
% 126.83/127.21 ( mult(ld(X1,unit),mult(ld(ld(X1,unit),unit),mult(ld(ld(X1,unit),X2),X3))) = mult(mult(X1,X2),mult(ld(X1,unit),mult(ld(ld(X1,unit),unit),X3))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1159.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.1','L')]).
% 126.83/127.21 cnf('0.1322.0.1',plain,
% 126.83/127.21 ( mult(ld(X1,unit),mult(X1,mult(ld(ld(X1,unit),X2),X3))) = mult(mult(X1,X2),mult(ld(X1,unit),mult(ld(ld(X1,unit),unit),X3))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1322.0.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1','L')]).
% 126.83/127.21 cnf('0.1322.0.2',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),mult(ld(ld(X1,unit),X2),X3))) = mult(mult(X1,X2),mult(ld(X1,unit),mult(ld(ld(X1,unit),unit),X3))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1322.0.1','0.281.2.0',theory(equality)]),
% 126.83/127.21 [pos('L','L')]).
% 126.83/127.21 cnf('0.1322.0.3',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),mult(ld(ld(X1,unit),X2),X3))) = mult(mult(X1,X2),mult(ld(X1,unit),mult(X1,X3))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1322.0.2','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.2.1','L')]).
% 126.83/127.21 cnf('0.1322.0.4',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),mult(ld(ld(X1,unit),X2),X3))) = mult(mult(X1,X2),mult(X1,mult(ld(X1,unit),X3))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1322.0.3','0.281.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2','L')]).
% 126.83/127.21 cnf('0.1322.1.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),mult(ld(ld(X1,unit),X2),X3))) = mult(mult(X1,X2),mult(X1,mult(ld(X1,unit),X3))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1322.0.4']),
% 126.83/127.21 [weight('<349,1159,12,[1,0,0,2]>')]).
% 126.83/127.21 cnf('0.1322.2.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),mult(ld(ld(X1,unit),X2),X3))) = mult(mult(X1,X2),mult(X1,mult(ld(X1,unit),X3))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1322.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1247]).
% 126.83/127.21 cnf('0.1323.0.0',plain,
% 126.83/127.21 ( mult(mult(X1,X2),mult(X1,mult(ld(X1,unit),ld(ld(X1,unit),X2)))) = mult(X1,mult(ld(X1,unit),f(ld(ld(X1,unit),X2),ld(ld(X1,unit),X2)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1322.2.0','0.64.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2','L')]).
% 126.83/127.21 cnf('0.1323.0.1',plain,
% 126.83/127.21 ( mult(mult(X1,X2),mult(X1,X2)) = mult(X1,mult(ld(X1,unit),f(ld(ld(X1,unit),X2),ld(ld(X1,unit),X2)))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1323.0.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2','L')]).
% 126.83/127.21 cnf('0.1323.0.2',plain,
% 126.83/127.21 ( f(mult(X1,X2),mult(X1,X2)) = mult(X1,mult(ld(X1,unit),f(ld(ld(X1,unit),X2),ld(ld(X1,unit),X2)))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1323.0.1','0.64.2.0',theory(equality)]),
% 126.83/127.21 [pos('L','L')]).
% 126.83/127.21 cnf('0.1323.0.3',plain,
% 126.83/127.21 ( f(mult(X1,X2),mult(X1,X2)) = mult(X1,mult(X2,ld(ld(X2,ld(X1,unit)),unit))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1323.0.2','0.597.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2','L')]).
% 126.83/127.21 cnf('0.1323.1.0',plain,
% 126.83/127.21 ( f(mult(X1,X2),mult(X1,X2)) = mult(X1,mult(X2,ld(ld(X2,ld(X1,unit)),unit))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1323.0.3']),
% 126.83/127.21 [weight('<227,1322,64,[1,0,0,6]>')]).
% 126.83/127.21 cnf('0.1323.2.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(ld(X2,ld(X1,unit)),unit))) = f(mult(X1,X2),mult(X1,X2)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1323.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1248]).
% 126.83/127.21 cnf('0.1324.0.0',plain,
% 126.83/127.21 ( f(mult(ld(X1,unit),X2),mult(ld(X1,unit),X2)) = mult(ld(X1,unit),mult(X2,ld(ld(X2,X1),unit))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1323.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.1.2','L')]).
% 126.83/127.21 cnf('0.1324.1.0',plain,
% 126.83/127.21 ( f(mult(ld(X1,unit),X2),mult(ld(X1,unit),X2)) = mult(ld(X1,unit),mult(X2,ld(ld(X2,X1),unit))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1324.0.0']),
% 126.83/127.21 [weight('<275,1323,12,[1,0,0,7]>')]).
% 126.83/127.21 cnf('0.1324.2.0',plain,
% 126.83/127.21 ( mult(ld(X1,unit),mult(X2,ld(ld(X2,X1),unit))) = f(mult(ld(X1,unit),X2),mult(ld(X1,unit),X2)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1324.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1249]).
% 126.83/127.21 cnf('0.1325.0.0',plain,
% 126.83/127.21 ( X1 = ld(mult(X2,ld(ld(X2,ld(X1,unit)),unit)),f(mult(X1,X2),mult(X1,X2))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.11.2.0','0.1323.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1325.1.0',plain,
% 126.83/127.21 ( X1 = ld(mult(X2,ld(ld(X2,ld(X1,unit)),unit)),f(mult(X1,X2),mult(X1,X2))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1325.0.0']),
% 126.83/127.21 [weight('<341,1323,11,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.1325.2.0',plain,
% 126.83/127.21 ( ld(mult(X1,ld(ld(X1,ld(X2,unit)),unit)),f(mult(X2,X1),mult(X2,X1))) = X2 ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1325.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1250]).
% 126.83/127.21 cnf('0.1326.0.0',plain,
% 126.83/127.21 ( X1 = ld(mult(ld(X1,X2),ld(ld(ld(X1,X2),ld(X1,unit)),unit)),f(X2,mult(X1,ld(X1,X2)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1325.2.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1','L')]).
% 126.83/127.21 cnf('0.1326.0.1',plain,
% 126.83/127.21 ( X1 = ld(mult(ld(X1,X2),ld(ld(ld(X1,X2),ld(X1,unit)),unit)),f(X2,X2)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1326.0.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.2','L')]).
% 126.83/127.21 cnf('0.1326.1.0',plain,
% 126.83/127.21 ( X1 = ld(mult(ld(X1,X2),ld(ld(ld(X1,X2),ld(X1,unit)),unit)),f(X2,X2)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1326.0.1']),
% 126.83/127.21 [weight('<341,1325,1,[1,0,0,11]>')]).
% 126.83/127.21 cnf('0.1326.2.0',plain,
% 126.83/127.21 ( ld(mult(ld(X1,X2),ld(ld(ld(X1,X2),ld(X1,unit)),unit)),f(X2,X2)) = X1 ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1326.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1251]).
% 126.83/127.21 cnf('0.1327.0.0',plain,
% 126.83/127.21 ( mult(ld(X1,X2),ld(ld(ld(X1,X2),ld(X1,unit)),unit)) = ld(X1,f(X2,X2)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.12.2.0','0.1326.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1327.1.0',plain,
% 126.83/127.21 ( mult(ld(X1,X2),ld(ld(ld(X1,X2),ld(X1,unit)),unit)) = ld(X1,f(X2,X2)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1327.0.0']),
% 126.83/127.21 [weight('<265,1326,12,[0,0,0,1]>')]).
% 126.83/127.21 cnf('0.1327.2.0',plain,
% 126.83/127.21 ( mult(ld(X1,X2),ld(ld(ld(X1,X2),ld(X1,unit)),unit)) = ld(X1,f(X2,X2)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1327.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1252]).
% 126.83/127.21 cnf('0.1328.0.0',plain,
% 126.83/127.21 ( ld(X1,X2) = ld(ld(ld(ld(X1,X2),ld(X1,unit)),unit),ld(X1,f(X2,X2))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.11.2.0','0.1327.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1328.1.0',plain,
% 126.83/127.21 ( ld(X1,X2) = ld(ld(ld(ld(X1,X2),ld(X1,unit)),unit),ld(X1,f(X2,X2))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1328.0.0']),
% 126.83/127.21 [weight('<303,1327,11,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.1328.2.0',plain,
% 126.83/127.21 ( ld(ld(ld(ld(X1,X2),ld(X1,unit)),unit),ld(X1,f(X2,X2))) = ld(X1,X2) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1328.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1253]).
% 126.83/127.21 cnf('0.1331.0.0',plain,
% 126.83/127.21 ( X1 = ld(mult(X2,ld(ld(X2,ld(X1,unit)),unit)),f(mult(X2,X1),mult(X2,X1))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1325.2.0','0.340.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1331.1.0',plain,
% 126.83/127.21 ( X1 = ld(mult(X2,ld(ld(X2,ld(X1,unit)),unit)),f(mult(X2,X1),mult(X2,X1))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1331.0.0']),
% 126.83/127.21 [weight('<341,1325,340,[1,0,0,10]>')]).
% 126.83/127.21 cnf('0.1331.2.0',plain,
% 126.83/127.21 ( ld(mult(X1,ld(ld(X1,ld(X2,unit)),unit)),f(mult(X1,X2),mult(X1,X2))) = X2 ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1331.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1256]).
% 126.83/127.21 cnf('0.1332.0.0',plain,
% 126.83/127.21 ( ld(X1,X2) = ld(mult(X1,ld(ld(X1,ld(ld(X1,X2),unit)),unit)),f(X2,mult(X1,ld(X1,X2)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1331.2.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1','L')]).
% 126.83/127.21 cnf('0.1332.0.1',plain,
% 126.83/127.21 ( ld(X1,X2) = ld(mult(X1,ld(ld(X1,ld(ld(X1,X2),unit)),unit)),f(X2,X2)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1332.0.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.2','L')]).
% 126.83/127.21 cnf('0.1332.1.0',plain,
% 126.83/127.21 ( ld(X1,X2) = ld(mult(X1,ld(ld(X1,ld(ld(X1,X2),unit)),unit)),f(X2,X2)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1332.0.1']),
% 126.83/127.21 [weight('<303,1331,1,[1,0,0,11]>')]).
% 126.83/127.21 cnf('0.1332.2.0',plain,
% 126.83/127.21 ( ld(mult(X1,ld(ld(X1,ld(ld(X1,X2),unit)),unit)),f(X2,X2)) = ld(X1,X2) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1332.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1257]).
% 126.83/127.21 cnf('0.1333.0.0',plain,
% 126.83/127.21 ( ld(X1,mult(X1,X2)) = ld(ld(ld(X2,ld(X1,unit)),unit),ld(X1,f(mult(X1,X2),mult(X1,X2)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1328.2.0','0.4.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.1.1','L')]).
% 126.83/127.21 cnf('0.1333.0.1',plain,
% 126.83/127.21 ( X2 = ld(ld(ld(X2,ld(X1,unit)),unit),ld(X1,f(mult(X1,X2),mult(X1,X2)))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1333.0.0','0.4.2.0',theory(equality)]),
% 126.83/127.21 [pos('L','L')]).
% 126.83/127.21 cnf('0.1333.1.0',plain,
% 126.83/127.21 ( X2 = ld(ld(ld(X2,ld(X1,unit)),unit),ld(X1,f(mult(X1,X2),mult(X1,X2)))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1333.0.1']),
% 126.83/127.21 [weight('<341,1328,4,[1,0,0,3]>')]).
% 126.83/127.21 cnf('0.1333.2.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,ld(X2,unit)),unit),ld(X2,f(mult(X2,X1),mult(X2,X1)))) = X1 ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1333.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1258]).
% 126.83/127.21 cnf('0.1334.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,unit)),unit) = ld(X1,ld(X2,f(mult(X2,X1),mult(X2,X1)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.12.2.0','0.1333.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1334.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,unit)),unit) = ld(X1,ld(X2,f(mult(X2,X1),mult(X2,X1)))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1334.0.0']),
% 126.83/127.21 [weight('<227,1333,12,[0,0,0,1]>')]).
% 126.83/127.21 cnf('0.1334.2.0',plain,
% 126.83/127.21 ( ld(X1,ld(X2,f(mult(X2,X1),mult(X2,X1)))) = ld(ld(X1,ld(X2,unit)),unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1334.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1259]).
% 126.83/127.21 cnf('0.1335.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,unit)),unit) = ld(X1,ld(X2,f(mult(X1,X2),mult(X2,X1)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1334.2.0','0.5.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.1','L')]).
% 126.83/127.21 cnf('0.1335.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,unit)),unit) = ld(X1,ld(X2,f(mult(X1,X2),mult(X2,X1)))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1335.0.0']),
% 126.83/127.21 [weight('<227,1334,5,[1,0,0,5]>')]).
% 126.83/127.21 cnf('0.1335.2.0',plain,
% 126.83/127.21 ( ld(X1,ld(X2,f(mult(X1,X2),mult(X2,X1)))) = ld(ld(X1,ld(X2,unit)),unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1335.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1260]).
% 126.83/127.21 cnf('0.1337.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,unit)),unit) = ld(X1,ld(X2,f(mult(X1,X2),mult(X1,X2)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1334.2.0','0.340.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2','L')]).
% 126.83/127.21 cnf('0.1337.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,unit)),unit) = ld(X1,ld(X2,f(mult(X1,X2),mult(X1,X2)))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1337.0.0']),
% 126.83/127.21 [weight('<227,1334,340,[1,0,0,4]>')]).
% 126.83/127.21 cnf('0.1337.2.0',plain,
% 126.83/127.21 ( ld(X1,ld(X2,f(mult(X1,X2),mult(X1,X2)))) = ld(ld(X1,ld(X2,unit)),unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1337.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1262]).
% 126.83/127.21 cnf('0.1338.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(ld(X1,X2),f(X2,mult(ld(X1,X2),X1)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1335.2.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.1','L')]).
% 126.83/127.21 cnf('0.1338.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(ld(X1,X2),f(X2,mult(ld(X1,X2),X1)))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1338.0.0']),
% 126.83/127.21 [weight('<321,1335,1,[1,0,0,5]>')]).
% 126.83/127.21 cnf('0.1338.1.1',plain,
% 126.83/127.21 ( ld(ld(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(ld(X1,X2),f(X2,mult(X1,ld(X1,X2))))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1338.1.0','0.5.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.2.2','L')]).
% 126.83/127.21 cnf('0.1338.1.2',plain,
% 126.83/127.21 ( ld(ld(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(ld(X1,X2),f(X2,X2))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1338.1.1','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.2.2','L')]).
% 126.83/127.21 cnf('0.1338.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(ld(X1,X2),f(X2,X2))) ),
% 126.83/127.21 inference(activate,[status(thm)],['0.1338.1.2']),
% 126.83/127.21 [equation_76]).
% 126.83/127.21 cnf('0.1341.0.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,X2),ld(X1,unit)),unit) = ld(ld(X1,X2),ld(X1,f(mult(ld(X1,X2),X1),X2))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1335.2.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.2','L')]).
% 126.83/127.21 cnf('0.1341.1.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,X2),ld(X1,unit)),unit) = ld(ld(X1,X2),ld(X1,f(mult(ld(X1,X2),X1),X2))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1341.0.0']),
% 126.83/127.21 [weight('<321,1335,1,[1,0,0,8]>')]).
% 126.83/127.21 cnf('0.1341.1.1',plain,
% 126.83/127.21 ( ld(ld(ld(X1,X2),ld(X1,unit)),unit) = ld(ld(X1,X2),ld(X1,f(X2,mult(ld(X1,X2),X1)))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1341.1.0','0.21.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.2','L')]).
% 126.83/127.21 cnf('0.1341.1.2',plain,
% 126.83/127.21 ( ld(ld(ld(X1,X2),ld(X1,unit)),unit) = ld(ld(X1,X2),ld(X1,f(X2,mult(X1,ld(X1,X2))))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1341.1.1','0.5.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.2.2','L')]).
% 126.83/127.21 cnf('0.1341.1.3',plain,
% 126.83/127.21 ( ld(ld(ld(X1,X2),ld(X1,unit)),unit) = ld(ld(X1,X2),ld(X1,f(X2,X2))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1341.1.2','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.2.2','L')]).
% 126.83/127.21 cnf('0.1341.2.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,X2),ld(X1,unit)),unit) = ld(ld(X1,X2),ld(X1,f(X2,X2))) ),
% 126.83/127.21 inference(activate,[status(thm)],['0.1341.1.3']),
% 126.83/127.21 [equation_77]).
% 126.83/127.21 cnf('0.1351.0.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),ld(X1,X3)))) = mult(mult(ld(X1,unit),X2),mult(X1,ld(X1,mult(ld(X1,unit),X3)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1159.2.0','0.284.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2','L')]).
% 126.83/127.21 cnf('0.1351.0.1',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),ld(X1,X3)))) = mult(mult(ld(X1,unit),X2),mult(ld(X1,unit),X3)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1351.0.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2','L')]).
% 126.83/127.21 cnf('0.1351.1.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),ld(X1,X3)))) = mult(mult(ld(X1,unit),X2),mult(ld(X1,unit),X3)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1351.0.1']),
% 126.83/127.21 [weight('<349,1159,284,[1,0,0,8]>')]).
% 126.83/127.21 cnf('0.1351.2.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),ld(X1,X3)))) = mult(mult(ld(X1,unit),X2),mult(ld(X1,unit),X3)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1351.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1274]).
% 126.83/127.21 cnf('0.1596.0.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,ld(X2,unit)),ld(X1,unit)),unit) = ld(ld(X1,ld(X2,unit)),ld(X1,ld(X2,ld(X2,unit)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1341.2.0','0.72.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.2','L')]).
% 126.83/127.21 cnf('0.1596.1.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,ld(X2,unit)),ld(X1,unit)),unit) = ld(ld(X1,ld(X2,unit)),ld(X1,ld(X2,ld(X2,unit)))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1596.0.0']),
% 126.83/127.21 [weight('<349,1341,72,[1,1,0,6]>')]).
% 126.83/127.21 cnf('0.1596.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,unit)),ld(X1,ld(X2,ld(X2,unit)))) = ld(ld(ld(X1,ld(X2,unit)),ld(X1,unit)),unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1596.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1514]).
% 126.83/127.21 cnf('0.1597.0.0',plain,
% 126.83/127.21 ( mult(ld(X1,unit),mult(ld(X1,X2),ld(X1,X3))) = ld(X1,mult(mult(ld(X1,unit),X2),mult(ld(X1,unit),X3))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.4.2.0','0.1351.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1597.1.0',plain,
% 126.83/127.21 ( mult(ld(X1,unit),mult(ld(X1,X2),ld(X1,X3))) = ld(X1,mult(mult(ld(X1,unit),X2),mult(ld(X1,unit),X3))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1597.0.0']),
% 126.83/127.21 [weight('<349,1351,4,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.1597.2.0',plain,
% 126.83/127.21 ( ld(X1,mult(mult(ld(X1,unit),X2),mult(ld(X1,unit),X3))) = mult(ld(X1,unit),mult(ld(X1,X2),ld(X1,X3))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1597.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1515]).
% 126.83/127.21 cnf('0.1614.0.0',plain,
% 126.83/127.21 ( mult(ld(ld(X1,unit),unit),mult(ld(ld(X1,unit),X2),ld(ld(X1,unit),X3))) = ld(ld(X1,unit),mult(mult(X1,X2),mult(ld(ld(X1,unit),unit),X3))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1597.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1.1','L')]).
% 126.83/127.21 cnf('0.1614.0.1',plain,
% 126.83/127.21 ( mult(X1,mult(ld(ld(X1,unit),X2),ld(ld(X1,unit),X3))) = ld(ld(X1,unit),mult(mult(X1,X2),mult(ld(ld(X1,unit),unit),X3))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1614.0.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1614.0.2',plain,
% 126.83/127.21 ( mult(X1,mult(ld(ld(X1,unit),X2),ld(ld(X1,unit),X3))) = ld(ld(X1,unit),mult(mult(X1,X2),mult(X1,X3))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1614.0.1','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.2.1','L')]).
% 126.83/127.21 cnf('0.1614.1.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(ld(X1,unit),X2),ld(ld(X1,unit),X3))) = ld(ld(X1,unit),mult(mult(X1,X2),mult(X1,X3))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1614.0.2']),
% 126.83/127.21 [weight('<349,1597,12,[1,0,0,4]>')]).
% 126.83/127.21 cnf('0.1614.2.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(ld(X1,unit),X2),ld(ld(X1,unit),X3))) = ld(ld(X1,unit),mult(mult(X1,X2),mult(X1,X3))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1614.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1532]).
% 126.83/127.21 cnf('0.1623.0.0',plain,
% 126.83/127.21 ( mult(ld(ld(X1,unit),X2),ld(ld(X1,unit),X3)) = ld(X1,ld(ld(X1,unit),mult(mult(X1,X2),mult(X1,X3)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.4.2.0','0.1614.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1623.1.0',plain,
% 126.83/127.21 ( mult(ld(ld(X1,unit),X2),ld(ld(X1,unit),X3)) = ld(X1,ld(ld(X1,unit),mult(mult(X1,X2),mult(X1,X3)))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1623.0.0']),
% 126.83/127.21 [weight('<349,1614,4,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.1623.2.0',plain,
% 126.83/127.21 ( ld(X1,ld(ld(X1,unit),mult(mult(X1,X2),mult(X1,X3)))) = mult(ld(ld(X1,unit),X2),ld(ld(X1,unit),X3)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1623.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1541]).
% 126.83/127.21 cnf('0.1636.0.0',plain,
% 126.83/127.21 ( mult(ld(ld(X1,unit),X2),ld(ld(X1,unit),ld(X1,X3))) = ld(X1,ld(ld(X1,unit),mult(mult(X1,X2),X3))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1623.2.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.2','L')]).
% 126.83/127.21 cnf('0.1636.0.1',plain,
% 126.83/127.21 ( mult(ld(ld(X1,unit),X2),ld(X1,ld(ld(X1,unit),X3))) = ld(X1,ld(ld(X1,unit),mult(mult(X1,X2),X3))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1636.0.0','0.288.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1636.1.0',plain,
% 126.83/127.21 ( mult(ld(ld(X1,unit),X2),ld(X1,ld(ld(X1,unit),X3))) = ld(X1,ld(ld(X1,unit),mult(mult(X1,X2),X3))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1636.0.1']),
% 126.83/127.21 [weight('<349,1623,1,[1,0,0,10]>')]).
% 126.83/127.21 cnf('0.1636.2.0',plain,
% 126.83/127.21 ( mult(ld(ld(X1,unit),X2),ld(X1,ld(ld(X1,unit),X3))) = ld(X1,ld(ld(X1,unit),mult(mult(X1,X2),X3))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1636.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1554]).
% 126.83/127.21 cnf('0.1767.0.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(X1,ld(X2,unit)),unit)) = ld(X2,f(mult(X2,X1),mult(X2,X1))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.4.2.0','0.1323.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1767.1.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(X1,ld(X2,unit)),unit)) = ld(X2,f(mult(X2,X1),mult(X2,X1))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1767.0.0']),
% 126.83/127.21 [weight('<360,1323,4,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.1767.2.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(X1,ld(X2,unit)),unit)) = ld(X2,f(mult(X2,X1),mult(X2,X1))) ),
% 126.83/127.21 inference(activate,[status(thm)],['0.1767.1.0']),
% 126.83/127.21 [equation_202]).
% 126.83/127.21 cnf('0.1842.0.0',plain,
% 126.83/127.21 ( ld(X1,mult(X2,mult(ld(X2,X1),mult(X2,ld(ld(X2,X1),X3))))) = mult(X2,ld(X1,mult(X2,X3))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.279.2.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.2','L')]).
% 126.83/127.21 cnf('0.1842.1.0',plain,
% 126.83/127.21 ( ld(X1,mult(X2,mult(ld(X2,X1),mult(X2,ld(ld(X2,X1),X3))))) = mult(X2,ld(X1,mult(X2,X3))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1842.0.0']),
% 126.83/127.21 [weight('<367,279,1,[1,0,0,6]>')]).
% 126.83/127.21 cnf('0.1842.2.0',plain,
% 126.83/127.21 ( ld(X1,mult(X2,mult(ld(X2,X1),mult(X2,ld(ld(X2,X1),X3))))) = mult(X2,ld(X1,mult(X2,X3))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1842.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1574]).
% 126.83/127.21 cnf('0.1843.0.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),X3)))) = mult(X2,mult(X1,ld(X2,mult(X1,X3)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1.2.0','0.1842.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1843.1.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),X3)))) = mult(X2,mult(X1,ld(X2,mult(X1,X3)))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1843.0.0']),
% 126.83/127.21 [weight('<321,1842,1,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.1843.2.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),X3)))) = mult(X2,mult(X1,ld(X2,mult(X1,X3)))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1843.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1575]).
% 126.83/127.21 cnf('0.1844.0.0',plain,
% 126.83/127.21 ( mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),X3))) = ld(X1,mult(X2,mult(X1,ld(X2,mult(X1,X3))))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.4.2.0','0.1843.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1844.1.0',plain,
% 126.83/127.21 ( mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),X3))) = ld(X1,mult(X2,mult(X1,ld(X2,mult(X1,X3))))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1844.0.0']),
% 126.83/127.21 [weight('<275,1843,4,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.1844.2.0',plain,
% 126.83/127.21 ( mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),X3))) = ld(X1,mult(X2,mult(X1,ld(X2,mult(X1,X3))))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1844.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1576]).
% 126.83/127.21 cnf('0.1874.0.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(X1,X3))) = mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3))))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1.2.0','0.767.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1874.1.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(X1,X3))) = mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3))))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1874.0.0']),
% 126.83/127.21 [weight('<367,767,1,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.1874.2.0',plain,
% 126.83/127.21 ( mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3))))) = mult(X1,mult(X2,ld(X1,X3))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1874.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1606]).
% 126.83/127.21 cnf('0.1875.0.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(X1,ld(ld(X2,ld(X1,unit)),unit)))) = mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),f(mult(X1,X2),mult(X1,X2))))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1874.2.0','0.1323.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.2','L')]).
% 126.83/127.21 cnf('0.1875.0.1',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(X1,ld(ld(X2,ld(X1,unit)),unit)))) = mult(mult(X1,X2),ld(X1,mult(X1,X2))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1875.0.0','0.65.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.2','L')]).
% 126.83/127.21 cnf('0.1875.0.2',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(X1,ld(ld(X2,ld(X1,unit)),unit)))) = mult(mult(X1,X2),X2) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1875.0.1','0.4.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2','L')]).
% 126.83/127.21 cnf('0.1875.1.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(X1,ld(ld(X2,ld(X1,unit)),unit)))) = mult(mult(X1,X2),X2) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1875.0.2']),
% 126.83/127.21 [weight('<265,1874,1323,[1,0,0,10]>')]).
% 126.83/127.21 cnf('0.1875.1.1',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(X1,ld(ld(X2,ld(X1,unit)),unit)))) = mult(X2,mult(X2,X1)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1875.1.0','0.503.2.0',theory(equality)]),
% 126.83/127.21 [pos('R','R')]).
% 126.83/127.21 cnf('0.1875.2.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(X1,ld(ld(X2,ld(X1,unit)),unit)))) = mult(X2,mult(X2,X1)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1875.1.1',theory(equality)]),
% 126.83/127.21 [u,rule_1607]).
% 126.83/127.21 cnf('0.1876.0.0',plain,
% 126.83/127.21 ( mult(X1,ld(X2,ld(ld(X1,ld(X2,unit)),unit))) = ld(X2,mult(X1,mult(X1,X2))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.4.2.0','0.1875.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1876.1.0',plain,
% 126.83/127.21 ( mult(X1,ld(X2,ld(ld(X1,ld(X2,unit)),unit))) = ld(X2,mult(X1,mult(X1,X2))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1876.0.0']),
% 126.83/127.21 [weight('<227,1875,4,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.1876.2.0',plain,
% 126.83/127.21 ( mult(X1,ld(X2,ld(ld(X1,ld(X2,unit)),unit))) = ld(X2,mult(X1,mult(X1,X2))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1876.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1608]).
% 126.83/127.21 cnf('0.1877.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),mult(X2,mult(X2,ld(X1,unit)))) = mult(X2,ld(ld(X1,unit),ld(ld(X2,X1),unit))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1876.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.1.2','L')]).
% 126.83/127.21 cnf('0.1877.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),mult(X2,mult(X2,ld(X1,unit)))) = mult(X2,ld(ld(X1,unit),ld(ld(X2,X1),unit))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1877.0.0']),
% 126.83/127.21 [weight('<275,1876,12,[1,0,0,7]>')]).
% 126.83/127.21 cnf('0.1877.2.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(X2,unit),ld(ld(X1,X2),unit))) = ld(ld(X2,unit),mult(X1,mult(X1,ld(X2,unit)))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1877.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1609]).
% 126.83/127.21 cnf('0.1885.0.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(X1,ld(X2,X3)))) = mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),mult(X1,X3)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1874.2.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.2.2','L')]).
% 126.83/127.21 cnf('0.1885.1.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(X1,ld(X2,X3)))) = mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),mult(X1,X3)))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1885.0.0']),
% 126.83/127.21 [weight('<321,1874,1,[1,0,0,12]>')]).
% 126.83/127.21 cnf('0.1885.2.0',plain,
% 126.83/127.21 ( mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),mult(X1,X3)))) = mult(X1,mult(X2,ld(X1,ld(X2,X3)))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1885.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1617]).
% 126.83/127.21 cnf('0.1893.0.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(X1,ld(X2,ld(X1,X3))))) = mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),X3))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1885.2.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.2','L')]).
% 126.83/127.21 cnf('0.1893.1.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(X1,ld(X2,ld(X1,X3))))) = mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),X3))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1893.0.0']),
% 126.83/127.21 [weight('<275,1885,1,[1,0,0,10]>')]).
% 126.83/127.21 cnf('0.1893.2.0',plain,
% 126.83/127.21 ( mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),X3))) = mult(X1,mult(X2,ld(X1,ld(X2,ld(X1,X3))))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1893.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1625]).
% 126.83/127.21 cnf('0.1894.0.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(X1,ld(X2,ld(X1,X3))))) = mult(mult(X2,X1),ld(X1,ld(mult(X1,X2),X3))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1893.2.0','0.5.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1894.1.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(X1,ld(X2,ld(X1,X3))))) = mult(mult(X2,X1),ld(X1,ld(mult(X1,X2),X3))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1894.0.0']),
% 126.83/127.21 [weight('<275,1893,5,[1,0,0,1]>')]).
% 126.83/127.21 cnf('0.1894.2.0',plain,
% 126.83/127.21 ( mult(mult(X1,X2),ld(X2,ld(mult(X2,X1),X3))) = mult(X2,mult(X1,ld(X2,ld(X1,ld(X2,X3))))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1894.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1626]).
% 126.83/127.21 cnf('0.1897.0.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(X1,ld(X2,ld(X1,X3))))) = mult(mult(X2,X1),ld(X1,ld(mult(X2,X1),X3))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1894.2.0','0.5.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.1','L')]).
% 126.83/127.21 cnf('0.1897.1.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(X1,ld(X2,ld(X1,X3))))) = mult(mult(X2,X1),ld(X1,ld(mult(X2,X1),X3))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1897.0.0']),
% 126.83/127.21 [weight('<275,1894,5,[1,0,0,7]>')]).
% 126.83/127.21 cnf('0.1897.2.0',plain,
% 126.83/127.21 ( mult(mult(X1,X2),ld(X2,ld(mult(X1,X2),X3))) = mult(X2,mult(X1,ld(X2,ld(X1,ld(X2,X3))))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1897.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1629]).
% 126.83/127.21 cnf('0.1901.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(ld(X2,X1),unit)) = ld(X2,ld(ld(X1,unit),mult(X2,mult(X2,ld(X1,unit))))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.4.2.0','0.1877.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1901.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(ld(X2,X1),unit)) = ld(X2,ld(ld(X1,unit),mult(X2,mult(X2,ld(X1,unit))))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1901.0.0']),
% 126.83/127.21 [weight('<321,1877,4,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.1901.2.0',plain,
% 126.83/127.21 ( ld(X1,ld(ld(X2,unit),mult(X1,mult(X1,ld(X2,unit))))) = ld(ld(X2,unit),ld(ld(X1,X2),unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1901.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1633]).
% 126.83/127.21 cnf('0.1927.0.0',plain,
% 126.83/127.21 ( mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),ld(X1,ld(ld(X1,X2),X3))))) = mult(X2,ld(ld(X1,X2),ld(mult(X1,ld(X1,X2)),X3))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1897.2.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1927.0.1',plain,
% 126.83/127.21 ( ld(X1,mult(X2,mult(X1,ld(X2,mult(X1,ld(X1,ld(ld(X1,X2),X3))))))) = mult(X2,ld(ld(X1,X2),ld(mult(X1,ld(X1,X2)),X3))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1927.0.0','0.1844.2.0',theory(equality)]),
% 126.83/127.21 [pos('L','L')]).
% 126.83/127.21 cnf('0.1927.0.2',plain,
% 126.83/127.21 ( ld(X1,mult(X2,mult(X1,ld(X2,ld(ld(X1,X2),X3))))) = mult(X2,ld(ld(X1,X2),ld(mult(X1,ld(X1,X2)),X3))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1927.0.1','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.2.2','L')]).
% 126.83/127.21 cnf('0.1927.0.3',plain,
% 126.83/127.21 ( ld(X1,mult(X2,mult(X1,ld(X2,ld(ld(X1,X2),X3))))) = mult(X2,ld(ld(X1,X2),ld(X2,X3))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1927.0.2','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.2.1','L')]).
% 126.83/127.21 cnf('0.1927.1.0',plain,
% 126.83/127.21 ( ld(X1,mult(X2,mult(X1,ld(X2,ld(ld(X1,X2),X3))))) = mult(X2,ld(ld(X1,X2),ld(X2,X3))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1927.0.3']),
% 126.83/127.21 [weight('<321,1897,1,[1,0,0,1]>')]).
% 126.83/127.21 cnf('0.1927.2.0',plain,
% 126.83/127.21 ( ld(X1,mult(X2,mult(X1,ld(X2,ld(ld(X1,X2),X3))))) = mult(X2,ld(ld(X1,X2),ld(X2,X3))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1927.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1659]).
% 126.83/127.21 cnf('0.1929.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(ld(X2,X1),unit)) = ld(X2,ld(ld(X1,unit),mult(X2,mult(ld(X1,unit),X2)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1901.2.0','0.5.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.2','L')]).
% 126.83/127.21 cnf('0.1929.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(ld(X2,X1),unit)) = ld(X2,ld(ld(X1,unit),mult(X2,mult(ld(X1,unit),X2)))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1929.0.0']),
% 126.83/127.21 [weight('<321,1901,5,[1,0,0,8]>')]).
% 126.83/127.21 cnf('0.1929.2.0',plain,
% 126.83/127.21 ( ld(X1,ld(ld(X2,unit),mult(X1,mult(ld(X2,unit),X1)))) = ld(ld(X2,unit),ld(ld(X1,X2),unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1929.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1661]).
% 126.83/127.21 cnf('0.1932.0.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(X2,X1),ld(X1,mult(ld(X2,X1),X3)))) = ld(X2,mult(X1,mult(X2,ld(X1,X3)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1927.2.0','0.4.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.2.2','L')]).
% 126.83/127.21 cnf('0.1932.1.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(X2,X1),ld(X1,mult(ld(X2,X1),X3)))) = ld(X2,mult(X1,mult(X2,ld(X1,X3)))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1932.0.0']),
% 126.83/127.21 [weight('<321,1927,4,[1,0,0,8]>')]).
% 126.83/127.21 cnf('0.1932.2.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(X2,X1),ld(X1,mult(ld(X2,X1),X3)))) = ld(X2,mult(X1,mult(X2,ld(X1,X3)))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1932.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1664]).
% 126.83/127.21 cnf('0.1933.0.0',plain,
% 126.83/127.21 ( ld(X1,mult(ld(X2,unit),mult(X1,ld(ld(X2,unit),mult(ld(X1,ld(X2,unit)),ld(X2,unit)))))) = mult(ld(X2,unit),ld(ld(X2,unit),ld(ld(ld(X1,ld(X2,unit)),X2),unit))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1932.2.0','0.1901.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1933.0.1',plain,
% 126.83/127.21 ( ld(X1,mult(ld(X2,unit),mult(X1,ld(X1,ld(X2,unit))))) = mult(ld(X2,unit),ld(ld(X2,unit),ld(ld(ld(X1,ld(X2,unit)),X2),unit))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1933.0.0','0.11.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.2','L')]).
% 126.83/127.21 cnf('0.1933.0.2',plain,
% 126.83/127.21 ( ld(X1,mult(ld(X2,unit),ld(X2,unit))) = mult(ld(X2,unit),ld(ld(X2,unit),ld(ld(ld(X1,ld(X2,unit)),X2),unit))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1933.0.1','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2','L')]).
% 126.83/127.21 cnf('0.1933.0.3',plain,
% 126.83/127.21 ( ld(X1,ld(X2,mult(ld(X2,unit),unit))) = mult(ld(X2,unit),ld(ld(X2,unit),ld(ld(ld(X1,ld(X2,unit)),X2),unit))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1933.0.2','0.284.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1933.0.4',plain,
% 126.83/127.21 ( ld(X1,ld(X2,ld(X2,unit))) = mult(ld(X2,unit),ld(ld(X2,unit),ld(ld(ld(X1,ld(X2,unit)),X2),unit))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1933.0.3','0.2.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2','L')]).
% 126.83/127.21 cnf('0.1933.0.5',plain,
% 126.83/127.21 ( ld(X1,ld(X2,ld(X2,unit))) = ld(ld(ld(X1,ld(X2,unit)),X2),unit) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1933.0.4','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('R','L')]).
% 126.83/127.21 cnf('0.1933.1.0',plain,
% 126.83/127.21 ( ld(X1,ld(X2,ld(X2,unit))) = ld(ld(ld(X1,ld(X2,unit)),X2),unit) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1933.0.5']),
% 126.83/127.21 [weight('<169,1932,1901,[1,0,0,2]>')]).
% 126.83/127.21 cnf('0.1933.2.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,ld(X2,unit)),X2),unit) = ld(X1,ld(X2,ld(X2,unit))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1933.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1665]).
% 126.83/127.21 cnf('0.1934.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,unit)),X2) = ld(mult(ld(X1,ld(X2,unit)),ld(ld(ld(X1,ld(X2,unit)),ld(X1,ld(X2,ld(X2,unit)))),unit)),f(X2,X2)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1332.2.0','0.1933.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.2.1.2','L')]).
% 126.83/127.21 cnf('0.1934.0.1',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,unit)),X2) = ld(mult(ld(X1,ld(X2,unit)),ld(ld(ld(ld(X1,ld(X2,unit)),ld(X1,unit)),unit),unit)),f(X2,X2)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1934.0.0','0.1596.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.1.2.1','L')]).
% 126.83/127.21 cnf('0.1934.0.2',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,unit)),X2) = ld(mult(ld(X1,ld(X2,unit)),ld(ld(X1,ld(X2,unit)),ld(X1,unit))),f(X2,X2)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1934.0.1','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.1.2','L')]).
% 126.83/127.21 cnf('0.1934.0.3',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,unit)),X2) = ld(ld(X1,unit),f(X2,X2)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1934.0.2','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.1','L')]).
% 126.83/127.21 cnf('0.1934.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,unit)),X2) = ld(ld(X1,unit),f(X2,X2)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1934.0.3']),
% 126.83/127.21 [weight('<119,1933,1332,[0,0,0,6]>')]).
% 126.83/127.21 cnf('0.1934.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,unit)),X2) = ld(ld(X1,unit),f(X2,X2)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1934.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1666]).
% 126.83/127.21 cnf('0.1935.0.0',plain,
% 126.83/127.21 ( ld(X1,ld(X2,unit)) = ld(ld(ld(X1,unit),f(X2,X2)),X2) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.12.2.0','0.1934.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1935.1.0',plain,
% 126.83/127.21 ( ld(X1,ld(X2,unit)) = ld(ld(ld(X1,unit),f(X2,X2)),X2) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1935.0.0']),
% 126.83/127.21 [weight('<149,1934,12,[0,0,0,1]>')]).
% 126.83/127.21 cnf('0.1935.2.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,unit),f(X2,X2)),X2) = ld(X1,ld(X2,unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1935.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1667]).
% 126.83/127.21 cnf('0.1936.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(X2,unit)) = ld(ld(X1,f(X2,X2)),X2) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1935.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.1','L')]).
% 126.83/127.21 cnf('0.1936.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(X2,unit)) = ld(ld(X1,f(X2,X2)),X2) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1936.0.0']),
% 126.83/127.21 [weight('<119,1935,12,[1,0,0,2]>')]).
% 126.83/127.21 cnf('0.1936.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,f(X2,X2)),X2) = ld(ld(X1,unit),ld(X2,unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1936.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1668]).
% 126.83/127.21 cnf('0.1937.0.0',plain,
% 126.83/127.21 ( ld(X1,mult(ld(X2,unit),mult(X1,ld(ld(X2,unit),mult(ld(X2,unit),ld(X1,ld(X2,unit))))))) = mult(ld(X2,unit),ld(ld(X2,unit),ld(ld(ld(X1,ld(X2,unit)),X2),unit))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1932.2.0','0.1929.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1937.0.1',plain,
% 126.83/127.21 ( ld(X1,mult(ld(X2,unit),mult(X1,ld(X1,ld(X2,unit))))) = mult(ld(X2,unit),ld(ld(X2,unit),ld(ld(ld(X1,ld(X2,unit)),X2),unit))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1937.0.0','0.4.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.2','L')]).
% 126.83/127.21 cnf('0.1937.0.2',plain,
% 126.83/127.21 ( ld(X1,mult(ld(X2,unit),ld(X2,unit))) = mult(ld(X2,unit),ld(ld(X2,unit),ld(ld(ld(X1,ld(X2,unit)),X2),unit))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1937.0.1','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2','L')]).
% 126.83/127.21 cnf('0.1937.0.3',plain,
% 126.83/127.21 ( ld(X1,ld(X2,mult(ld(X2,unit),unit))) = mult(ld(X2,unit),ld(ld(X2,unit),ld(ld(ld(X1,ld(X2,unit)),X2),unit))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1937.0.2','0.284.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1937.0.4',plain,
% 126.83/127.21 ( ld(X1,ld(X2,ld(X2,unit))) = mult(ld(X2,unit),ld(ld(X2,unit),ld(ld(ld(X1,ld(X2,unit)),X2),unit))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1937.0.3','0.2.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2','L')]).
% 126.83/127.21 cnf('0.1937.0.5',plain,
% 126.83/127.21 ( ld(X1,ld(X2,ld(X2,unit))) = ld(ld(ld(X1,ld(X2,unit)),X2),unit) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1937.0.4','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('R','L')]).
% 126.83/127.21 cnf('0.1937.1.0',plain,
% 126.83/127.21 ( ld(X1,ld(X2,ld(X2,unit))) = ld(ld(ld(X1,ld(X2,unit)),X2),unit) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1937.0.5']),
% 126.83/127.21 [weight('<169,1932,1929,[1,0,0,2]>')]).
% 126.83/127.21 cnf('0.1937.1.1',plain,
% 126.83/127.21 ( ld(X1,ld(X2,ld(X2,unit))) = ld(ld(ld(X1,unit),f(X2,X2)),unit) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1937.1.0','0.1934.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.1','L')]).
% 126.83/127.21 cnf('0.1937.2.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,unit),f(X2,X2)),unit) = ld(X1,ld(X2,ld(X2,unit))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1937.1.1',theory(equality)]),
% 126.83/127.21 [x,rule_1669]).
% 126.83/127.21 cnf('0.1938.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),f(ld(X2,unit),ld(X2,unit))) = ld(ld(X1,X2),ld(X2,unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1934.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.2','L')]).
% 126.83/127.21 cnf('0.1938.0.1',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(X2,ld(X2,unit))) = ld(ld(X1,X2),ld(X2,unit)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1938.0.0','0.72.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1938.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(X2,ld(X2,unit))) = ld(ld(X1,X2),ld(X2,unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1938.0.1']),
% 126.83/127.21 [weight('<169,1934,12,[1,0,0,3]>')]).
% 126.83/127.21 cnf('0.1938.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(X2,ld(X2,unit))) = ld(ld(X1,X2),ld(X2,unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1938.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1670]).
% 126.83/127.21 cnf('0.1939.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),f(X2,X2)) = ld(ld(X1,ld(X2,ld(X2,unit))),unit) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.12.2.0','0.1937.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1939.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),f(X2,X2)) = ld(ld(X1,ld(X2,ld(X2,unit))),unit) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1939.0.0']),
% 126.83/127.21 [weight('<169,1937,12,[0,0,0,1]>')]).
% 126.83/127.21 cnf('0.1939.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,ld(X2,unit))),unit) = ld(ld(X1,unit),f(X2,X2)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1939.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1671]).
% 126.83/127.21 cnf('0.1940.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),f(ld(X2,unit),ld(X2,unit))) = ld(ld(X1,ld(ld(X2,unit),X2)),unit) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1939.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.2.2','L')]).
% 126.83/127.21 cnf('0.1940.0.1',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(X2,ld(X2,unit))) = ld(ld(X1,ld(ld(X2,unit),X2)),unit) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1940.0.0','0.72.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1940.0.2',plain,
% 126.83/127.21 ( ld(ld(X1,X2),ld(X2,unit)) = ld(ld(X1,ld(ld(X2,unit),X2)),unit) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1940.0.1','0.1938.2.0',theory(equality)]),
% 126.83/127.21 [pos('L','L')]).
% 126.83/127.21 cnf('0.1940.0.3',plain,
% 126.83/127.21 ( ld(ld(X1,X2),ld(X2,unit)) = ld(ld(X1,f(X2,X2)),unit) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1940.0.2','0.67.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.1.2','L')]).
% 126.83/127.21 cnf('0.1940.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,X2),ld(X2,unit)) = ld(ld(X1,f(X2,X2)),unit) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1940.0.3']),
% 126.83/127.21 [weight('<119,1939,12,[1,0,0,5]>')]).
% 126.83/127.21 cnf('0.1940.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,f(X2,X2)),unit) = ld(ld(X1,X2),ld(X2,unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1940.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1672]).
% 126.83/127.21 cnf('0.1941.0.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,unit),unit),f(X2,X2)) = ld(ld(ld(X1,X2),ld(X2,unit)),unit) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1939.2.0','0.1938.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1941.0.1',plain,
% 126.83/127.21 ( ld(X1,f(X2,X2)) = ld(ld(ld(X1,X2),ld(X2,unit)),unit) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1941.0.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1941.1.0',plain,
% 126.83/127.21 ( ld(X1,f(X2,X2)) = ld(ld(ld(X1,X2),ld(X2,unit)),unit) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1941.0.1']),
% 126.83/127.21 [weight('<149,1939,1938,[1,0,0,1]>')]).
% 126.83/127.21 cnf('0.1941.2.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,X2),ld(X2,unit)),unit) = ld(X1,f(X2,X2)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1941.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1673]).
% 126.83/127.21 cnf('0.1942.0.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,unit),f(X2,X2)),unit) = ld(X1,ld(X2,ld(X2,unit))) ),
% 126.83/127.21 inference(interreduction_right,[status(thm)],['0.1937.2.0'])).
% 126.83/127.21 cnf('0.1942.0.1',plain,
% 126.83/127.21 ( ld(ld(ld(X1,unit),X2),ld(X2,unit)) = ld(X1,ld(X2,ld(X2,unit))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1942.0.0','0.1940.2.0',theory(equality)]),
% 126.83/127.21 [pos('L','L')]).
% 126.83/127.21 cnf('0.1942.1.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,unit),X2),ld(X2,unit)) = ld(X1,ld(X2,ld(X2,unit))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1942.0.1']),
% 126.83/127.21 [weight('<169,1937,1940,[0,0,0,0]>')]).
% 126.83/127.21 cnf('0.1942.2.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,unit),X2),ld(X2,unit)) = ld(X1,ld(X2,ld(X2,unit))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1942.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1674]).
% 126.83/127.21 cnf('0.1943.0.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,ld(X2,unit)),unit),f(X2,X2)) = ld(X1,X2) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1934.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1943.1.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,ld(X2,unit)),unit),f(X2,X2)) = ld(X1,X2) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1943.0.0']),
% 126.83/127.21 [weight('<179,1934,12,[1,0,0,1]>')]).
% 126.83/127.21 cnf('0.1943.2.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,ld(X2,unit)),unit),f(X2,X2)) = ld(X1,X2) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1943.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1675]).
% 126.83/127.21 cnf('0.1945.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(ld(X2,unit),unit)) = ld(ld(X1,ld(X2,ld(X2,unit))),ld(X2,unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1936.2.0','0.72.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.2','L')]).
% 126.83/127.21 cnf('0.1945.0.1',plain,
% 126.83/127.21 ( ld(ld(X1,unit),X2) = ld(ld(X1,ld(X2,ld(X2,unit))),ld(X2,unit)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1945.0.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1945.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),X2) = ld(ld(X1,ld(X2,ld(X2,unit))),ld(X2,unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1945.0.1']),
% 126.83/127.21 [weight('<203,1936,72,[1,0,0,3]>')]).
% 126.83/127.21 cnf('0.1945.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,ld(X2,unit))),ld(X2,unit)) = ld(ld(X1,unit),X2) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1945.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1677]).
% 126.83/127.21 cnf('0.1947.0.0',plain,
% 126.83/127.21 ( ld(ld(ld(ld(X1,ld(X2,unit)),unit),X2),ld(X2,unit)) = ld(ld(X1,X2),unit) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1940.2.0','0.1943.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1947.0.1',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,unit)),ld(X2,ld(X2,unit))) = ld(ld(X1,X2),unit) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1947.0.0','0.1942.2.0',theory(equality)]),
% 126.83/127.21 [pos('L','L')]).
% 126.83/127.21 cnf('0.1947.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,unit)),ld(X2,ld(X2,unit))) = ld(ld(X1,X2),unit) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1947.0.1']),
% 126.83/127.21 [weight('<203,1943,1940,[0,0,0,1]>')]).
% 126.83/127.21 cnf('0.1947.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,unit)),ld(X2,ld(X2,unit))) = ld(ld(X1,X2),unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1947.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1679]).
% 126.83/127.21 cnf('0.1948.0.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,ld(X2,unit)),unit),X2) = ld(ld(ld(X1,X2),unit),ld(X2,unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1945.2.0','0.1947.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1948.1.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,ld(X2,unit)),unit),X2) = ld(ld(ld(X1,X2),unit),ld(X2,unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1948.0.0']),
% 126.83/127.21 [weight('<189,1947,1945,[0,0,0,1]>')]).
% 126.83/127.21 cnf('0.1948.2.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,ld(X2,unit)),unit),X2) = ld(ld(ld(X1,X2),unit),ld(X2,unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1948.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1680]).
% 126.83/127.21 cnf('0.1950.0.0',plain,
% 126.83/127.21 ( X1 = mult(ld(X2,ld(X1,unit)),ld(ld(X2,unit),f(X1,X1))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1.2.0','0.1934.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1950.1.0',plain,
% 126.83/127.21 ( X1 = mult(ld(X2,ld(X1,unit)),ld(ld(X2,unit),f(X1,X1))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1950.0.0']),
% 126.83/127.21 [weight('<209,1934,1,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.1950.2.0',plain,
% 126.83/127.21 ( mult(ld(X1,ld(X2,unit)),ld(ld(X1,unit),f(X2,X2))) = X2 ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1950.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1682]).
% 126.83/127.21 cnf('0.1957.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,X2),f(X2,X2)) = ld(ld(X1,ld(X2,unit)),unit) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1941.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.1','L')]).
% 126.83/127.21 cnf('0.1957.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,X2),f(X2,X2)) = ld(ld(X1,ld(X2,unit)),unit) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1957.0.0']),
% 126.83/127.21 [weight('<224,1941,12,[1,0,0,2]>')]).
% 126.83/127.21 cnf('0.1957.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,X2),f(X2,X2)) = ld(ld(X1,ld(X2,unit)),unit) ),
% 126.83/127.21 inference(activate,[status(thm)],['0.1957.1.0']),
% 126.83/127.21 [equation_269]).
% 126.83/127.21 cnf('0.1958.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(ld(X1,ld(X2,unit)),unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1338.2.0','0.1957.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2','L')]).
% 126.83/127.21 cnf('0.1958.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(ld(X1,ld(X2,unit)),unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1958.0.0']),
% 126.83/127.21 [weight('<189,1957,1338,[0,0,1,2]>')]).
% 126.83/127.21 cnf('0.1958.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(ld(X1,ld(X2,unit)),unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1958.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1689]).
% 126.83/127.21 cnf('0.1960.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,mult(X1,X2)),ld(mult(X1,X2),unit)) = ld(mult(X2,ld(ld(X2,ld(X1,unit)),unit)),unit) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1940.2.0','0.1767.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','R')]).
% 126.83/127.21 cnf('0.1960.0.1',plain,
% 126.83/127.21 ( ld(X2,ld(mult(X1,X2),unit)) = ld(mult(X2,ld(ld(X2,ld(X1,unit)),unit)),unit) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1960.0.0','0.4.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1960.1.0',plain,
% 126.83/127.21 ( ld(X2,ld(mult(X1,X2),unit)) = ld(mult(X2,ld(ld(X2,ld(X1,unit)),unit)),unit) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1960.0.1']),
% 126.83/127.21 [weight('<227,1940,1767,[1,0,1,1]>')]).
% 126.83/127.21 cnf('0.1960.2.0',plain,
% 126.83/127.21 ( ld(mult(X1,ld(ld(X1,ld(X2,unit)),unit)),unit) = ld(X1,ld(mult(X2,X1),unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1960.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1691]).
% 126.83/127.21 cnf('0.1961.0.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(X1,ld(X2,unit)),unit)) = ld(ld(X1,ld(mult(X2,X1),unit)),unit) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.12.2.0','0.1960.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1961.1.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(X1,ld(X2,unit)),unit)) = ld(ld(X1,ld(mult(X2,X1),unit)),unit) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1961.0.0']),
% 126.83/127.21 [weight('<189,1960,12,[0,0,0,1]>')]).
% 126.83/127.21 cnf('0.1961.2.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(X1,ld(X2,unit)),unit)) = ld(ld(X1,ld(mult(X2,X1),unit)),unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1961.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1692]).
% 126.83/127.21 cnf('0.1962.0.0',plain,
% 126.83/127.21 ( mult(X1,mult(X2,ld(ld(X2,ld(X1,unit)),unit))) = f(mult(X1,X2),mult(X1,X2)) ),
% 126.83/127.21 inference(interreduction_right,[status(thm)],['0.1323.2.0'])).
% 126.83/127.21 cnf('0.1962.0.1',plain,
% 126.83/127.21 ( mult(X1,ld(ld(X2,ld(mult(X1,X2),unit)),unit)) = f(mult(X1,X2),mult(X1,X2)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1962.0.0','0.1961.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1962.1.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(X2,ld(mult(X1,X2),unit)),unit)) = f(mult(X1,X2),mult(X1,X2)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1962.0.1']),
% 126.83/127.21 [weight('<227,1323,1961,[0,0,0,0]>')]).
% 126.83/127.21 cnf('0.1962.2.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(X2,ld(mult(X1,X2),unit)),unit)) = f(mult(X1,X2),mult(X1,X2)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1962.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1693]).
% 126.83/127.21 cnf('0.1965.0.0',plain,
% 126.83/127.21 ( ld(X1,ld(ld(X1,ld(mult(X1,X2),unit)),unit)) = ld(ld(X1,ld(X2,unit)),unit) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1958.2.0','0.4.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.2.1','L')]).
% 126.83/127.21 cnf('0.1965.1.0',plain,
% 126.83/127.21 ( ld(X1,ld(ld(X1,ld(mult(X1,X2),unit)),unit)) = ld(ld(X1,ld(X2,unit)),unit) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1965.0.0']),
% 126.83/127.21 [weight('<227,1958,4,[1,0,0,4]>')]).
% 126.83/127.21 cnf('0.1965.2.0',plain,
% 126.83/127.21 ( ld(X1,ld(ld(X1,ld(mult(X1,X2),unit)),unit)) = ld(ld(X1,ld(X2,unit)),unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1965.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1696]).
% 126.83/127.21 cnf('0.1967.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(mult(ld(X2,unit),X1),unit)),unit) = mult(X1,ld(ld(X1,X2),unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1961.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1.2','L')]).
% 126.83/127.21 cnf('0.1967.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(mult(ld(X2,unit),X1),unit)),unit) = mult(X1,ld(ld(X1,X2),unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1967.0.0']),
% 126.83/127.21 [weight('<227,1961,12,[1,0,0,5]>')]).
% 126.83/127.21 cnf('0.1967.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(mult(ld(X2,unit),X1),unit)),unit) = mult(X1,ld(ld(X1,X2),unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1967.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1698]).
% 126.83/127.21 cnf('0.1968.0.0',plain,
% 126.83/127.21 ( ld(X1,ld(mult(ld(X2,unit),X1),unit)) = ld(mult(X1,ld(ld(X1,X2),unit)),unit) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.12.2.0','0.1967.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1968.1.0',plain,
% 126.83/127.21 ( ld(X1,ld(mult(ld(X2,unit),X1),unit)) = ld(mult(X1,ld(ld(X1,X2),unit)),unit) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1968.0.0']),
% 126.83/127.21 [weight('<189,1967,12,[0,0,0,1]>')]).
% 126.83/127.21 cnf('0.1968.2.0',plain,
% 126.83/127.21 ( ld(mult(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(mult(ld(X2,unit),X1),unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1968.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1699]).
% 126.83/127.21 cnf('0.1985.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(mult(f(X2,X2),X1),unit)),unit) = mult(X1,ld(ld(X1,ld(X2,ld(X2,unit))),unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1961.2.0','0.53.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1.2','L')]).
% 126.83/127.21 cnf('0.1985.0.1',plain,
% 126.83/127.21 ( ld(ld(X1,ld(mult(f(X2,X2),X1),unit)),unit) = mult(X1,ld(ld(X1,unit),f(X2,X2))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1985.0.0','0.1939.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2','L')]).
% 126.83/127.21 cnf('0.1985.0.2',plain,
% 126.83/127.21 ( ld(ld(X1,ld(mult(f(X2,X2),X1),unit)),unit) = ld(ld(X1,unit),mult(X1,f(X2,X2))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1985.0.1','0.286.2.0',theory(equality)]),
% 126.83/127.21 [pos('R','L')]).
% 126.83/127.21 cnf('0.1985.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(mult(f(X2,X2),X1),unit)),unit) = ld(ld(X1,unit),mult(X1,f(X2,X2))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1985.0.2']),
% 126.83/127.21 [weight('<251,1961,53,[1,0,0,5]>')]).
% 126.83/127.21 cnf('0.1985.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(mult(f(X2,X2),X1),unit)),unit) = ld(ld(X1,unit),mult(X1,f(X2,X2))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1985.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1716]).
% 126.83/127.21 cnf('0.1986.0.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,mult(f(X2,X2),X1)),unit),ld(mult(f(X2,X2),X1),unit)) = ld(ld(ld(X1,unit),mult(X1,f(X2,X2))),mult(f(X2,X2),X1)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1948.2.0','0.1985.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1986.0.1',plain,
% 126.83/127.21 ( ld(ld(f(X2,X2),unit),ld(mult(f(X2,X2),X1),unit)) = ld(ld(ld(X1,unit),mult(X1,f(X2,X2))),mult(f(X2,X2),X1)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1986.0.0','0.11.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.1','L')]).
% 126.83/127.21 cnf('0.1986.0.2',plain,
% 126.83/127.21 ( ld(ld(X2,ld(X2,unit)),ld(mult(f(X2,X2),X1),unit)) = ld(ld(ld(X1,unit),mult(X1,f(X2,X2))),mult(f(X2,X2),X1)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1986.0.1','0.53.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.1986.0.3',plain,
% 126.83/127.21 ( ld(ld(X2,ld(X2,unit)),ld(mult(f(X2,X2),X1),unit)) = ld(X1,unit) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.1986.0.2','0.752.2.0',theory(equality)]),
% 126.83/127.21 [pos('R','L')]).
% 126.83/127.21 cnf('0.1986.1.0',plain,
% 126.83/127.21 ( ld(ld(X2,ld(X2,unit)),ld(mult(f(X2,X2),X1),unit)) = ld(X1,unit) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1986.0.3']),
% 126.83/127.21 [weight('<237,1985,1948,[0,0,0,1]>')]).
% 126.83/127.21 cnf('0.1986.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X1,unit)),ld(mult(f(X1,X1),X2),unit)) = ld(X2,unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1986.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1717]).
% 126.83/127.21 cnf('0.1987.0.0',plain,
% 126.83/127.21 ( ld(mult(f(X1,X1),X2),unit) = mult(ld(X1,ld(X1,unit)),ld(X2,unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1.2.0','0.1986.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.1987.1.0',plain,
% 126.83/127.21 ( ld(mult(f(X1,X1),X2),unit) = mult(ld(X1,ld(X1,unit)),ld(X2,unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1987.0.0']),
% 126.83/127.21 [weight('<169,1986,1,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.1987.2.0',plain,
% 126.83/127.21 ( mult(ld(X1,ld(X1,unit)),ld(X2,unit)) = ld(mult(f(X1,X1),X2),unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1987.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1718]).
% 126.83/127.21 cnf('0.1989.0.0',plain,
% 126.83/127.21 ( ld(mult(f(X1,X1),X2),unit) = mult(ld(X2,unit),ld(X1,ld(X1,unit))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1987.2.0','0.5.2.0',theory(equality)]),
% 126.83/127.21 [pos('L','L')]).
% 126.83/127.21 cnf('0.1989.1.0',plain,
% 126.83/127.21 ( ld(mult(f(X1,X1),X2),unit) = mult(ld(X2,unit),ld(X1,ld(X1,unit))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.1989.0.0']),
% 126.83/127.21 [weight('<169,1987,5,[1,0,0,0]>')]).
% 126.83/127.21 cnf('0.1989.2.0',plain,
% 126.83/127.21 ( mult(ld(X1,unit),ld(X2,ld(X2,unit))) = ld(mult(f(X2,X2),X1),unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.1989.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1720]).
% 126.83/127.21 cnf('0.2048.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,X2),ld(X2,mult(ld(X1,X2),X3))) = ld(X2,ld(X1,mult(X2,mult(X1,ld(X2,X3))))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.4.2.0','0.1932.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.2048.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,X2),ld(X2,mult(ld(X1,X2),X3))) = ld(X2,ld(X1,mult(X2,mult(X1,ld(X2,X3))))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.2048.0.0']),
% 126.83/127.21 [weight('<275,1932,4,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.2048.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,X2),ld(X2,mult(ld(X1,X2),X3))) = ld(X2,ld(X1,mult(X2,mult(X1,ld(X2,X3))))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.2048.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1779]).
% 126.83/127.21 cnf('0.2049.0.0',plain,
% 126.83/127.21 ( ld(X1,ld(X2,mult(X1,mult(X2,ld(X1,f(X1,X1)))))) = ld(ld(ld(X2,X1),ld(X1,ld(X2,X1))),unit) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.2048.2.0','0.615.2.0',theory(equality)]),
% 126.83/127.21 [pos('L','L')]).
% 126.83/127.21 cnf('0.2049.0.1',plain,
% 126.83/127.21 ( ld(X1,ld(X2,mult(X1,mult(X2,X1)))) = ld(ld(ld(X2,X1),ld(X1,ld(X2,X1))),unit) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2049.0.0','0.65.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.2.2','L')]).
% 126.83/127.21 cnf('0.2049.1.0',plain,
% 126.83/127.21 ( ld(X1,ld(X2,mult(X1,mult(X2,X1)))) = ld(ld(ld(X2,X1),ld(X1,ld(X2,X1))),unit) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.2049.0.1']),
% 126.83/127.21 [weight('<251,2048,615,[1,0,0,0]>')]).
% 126.83/127.21 cnf('0.2049.2.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,X2),ld(X2,ld(X1,X2))),unit) = ld(X2,ld(X1,mult(X2,mult(X1,X2)))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.2049.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1780]).
% 126.83/127.21 cnf('0.2050.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,X2),ld(X2,ld(X1,X2))) = ld(ld(X2,ld(X1,mult(X2,mult(X1,X2)))),unit) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.12.2.0','0.2049.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.2050.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,X2),ld(X2,ld(X1,X2))) = ld(ld(X2,ld(X1,mult(X2,mult(X1,X2)))),unit) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.2050.0.0']),
% 126.83/127.21 [weight('<251,2049,12,[0,0,0,1]>')]).
% 126.83/127.21 cnf('0.2050.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(X2,mult(X1,mult(X2,X1)))),unit) = ld(ld(X2,X1),ld(X1,ld(X2,X1))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.2050.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1781]).
% 126.83/127.21 cnf('0.2054.0.0',plain,
% 126.83/127.21 ( f(mult(ld(ld(X1,unit),unit),ld(X2,X1)),mult(ld(ld(X1,unit),unit),ld(X2,X1))) = mult(ld(ld(X1,unit),unit),mult(ld(X2,X1),ld(X2,f(X1,X1)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1324.2.0','0.1941.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2','L')]).
% 126.83/127.21 cnf('0.2054.0.1',plain,
% 126.83/127.21 ( f(mult(X1,ld(X2,X1)),mult(ld(ld(X1,unit),unit),ld(X2,X1))) = mult(ld(ld(X1,unit),unit),mult(ld(X2,X1),ld(X2,f(X1,X1)))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2054.0.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.1','L')]).
% 126.83/127.21 cnf('0.2054.0.2',plain,
% 126.83/127.21 ( f(mult(X1,ld(X2,X1)),mult(X1,ld(X2,X1))) = mult(ld(ld(X1,unit),unit),mult(ld(X2,X1),ld(X2,f(X1,X1)))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2054.0.1','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1','L')]).
% 126.83/127.21 cnf('0.2054.0.3',plain,
% 126.83/127.21 ( f(mult(X1,ld(X2,X1)),mult(X1,ld(X2,X1))) = mult(X1,mult(ld(X2,X1),ld(X2,f(X1,X1)))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2054.0.2','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.1','L')]).
% 126.83/127.21 cnf('0.2054.1.0',plain,
% 126.83/127.21 ( f(mult(X1,ld(X2,X1)),mult(X1,ld(X2,X1))) = mult(X1,mult(ld(X2,X1),ld(X2,f(X1,X1)))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.2054.0.3']),
% 126.83/127.21 [weight('<275,1941,1324,[0,0,0,6]>')]).
% 126.83/127.21 cnf('0.2054.2.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X2,X1),ld(X2,f(X1,X1)))) = f(mult(X1,ld(X2,X1)),mult(X1,ld(X2,X1))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.2054.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1785]).
% 126.83/127.21 cnf('0.2086.0.0',plain,
% 126.83/127.21 ( mult(mult(X1,ld(X2,unit)),mult(X1,mult(ld(X1,unit),ld(ld(ld(X1,unit),unit),f(X2,X2))))) = mult(X1,mult(ld(X1,unit),X2)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1322.2.0','0.1950.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2','L')]).
% 126.83/127.21 cnf('0.2086.0.1',plain,
% 126.83/127.21 ( mult(mult(X1,ld(X2,unit)),mult(X1,ld(ld(ld(X1,unit),unit),mult(ld(X1,unit),f(X2,X2))))) = mult(X1,mult(ld(X1,unit),X2)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2086.0.0','0.286.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2','L')]).
% 126.83/127.21 cnf('0.2086.0.2',plain,
% 126.83/127.21 ( mult(mult(X1,ld(X2,unit)),mult(X1,ld(X1,mult(ld(X1,unit),f(X2,X2))))) = mult(X1,mult(ld(X1,unit),X2)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2086.0.1','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.2.1','L')]).
% 126.83/127.21 cnf('0.2086.0.3',plain,
% 126.83/127.21 ( mult(mult(X1,ld(X2,unit)),mult(ld(X1,unit),f(X2,X2))) = mult(X1,mult(ld(X1,unit),X2)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2086.0.2','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.2086.1.0',plain,
% 126.83/127.21 ( mult(mult(X1,ld(X2,unit)),mult(ld(X1,unit),f(X2,X2))) = mult(X1,mult(ld(X1,unit),X2)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.2086.0.3']),
% 126.83/127.21 [weight('<293,1950,1322,[0,0,0,6]>')]).
% 126.83/127.21 cnf('0.2086.2.0',plain,
% 126.83/127.21 ( mult(mult(X1,ld(X2,unit)),mult(ld(X1,unit),f(X2,X2))) = mult(X1,mult(ld(X1,unit),X2)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.2086.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1817]).
% 126.83/127.21 cnf('0.2087.0.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),ld(X2,unit))) = mult(mult(X1,X2),mult(ld(X1,unit),f(ld(X2,unit),ld(X2,unit)))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.2086.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.2','L')]).
% 126.83/127.21 cnf('0.2087.0.1',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),ld(X2,unit))) = mult(mult(X1,X2),mult(ld(X1,unit),ld(X2,ld(X2,unit)))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2087.0.0','0.72.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.2','L')]).
% 126.83/127.21 cnf('0.2087.0.2',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),ld(X2,unit))) = mult(mult(X1,X2),ld(mult(f(X2,X2),X1),unit)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2087.0.1','0.1989.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2','L')]).
% 126.83/127.21 cnf('0.2087.1.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),ld(X2,unit))) = mult(mult(X1,X2),ld(mult(f(X2,X2),X1),unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.2087.0.2']),
% 126.83/127.21 [weight('<251,2086,12,[1,0,0,3]>')]).
% 126.83/127.21 cnf('0.2087.2.0',plain,
% 126.83/127.21 ( mult(mult(X1,X2),ld(mult(f(X2,X2),X1),unit)) = mult(X1,mult(ld(X1,unit),ld(X2,unit))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.2087.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1818]).
% 126.83/127.21 cnf('0.2089.0.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),ld(X2,unit))) = mult(mult(X1,X2),ld(mult(X1,f(X2,X2)),unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.2087.2.0','0.5.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1','L')]).
% 126.83/127.21 cnf('0.2089.1.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),ld(X2,unit))) = mult(mult(X1,X2),ld(mult(X1,f(X2,X2)),unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.2089.0.0']),
% 126.83/127.21 [weight('<251,2087,5,[1,0,0,5]>')]).
% 126.83/127.21 cnf('0.2089.2.0',plain,
% 126.83/127.21 ( mult(mult(X1,X2),ld(mult(X1,f(X2,X2)),unit)) = mult(X1,mult(ld(X1,unit),ld(X2,unit))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.2089.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1820]).
% 126.83/127.21 cnf('0.2090.0.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),ld(ld(X1,X2),unit))) = mult(X2,ld(mult(X1,f(ld(X1,X2),ld(X1,X2))),unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.2089.2.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.2090.0.1',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),ld(ld(X1,X2),unit))) = mult(X2,ld(mult(X2,ld(ld(X2,X1),unit)),unit)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2090.0.0','0.597.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2.1','L')]).
% 126.83/127.21 cnf('0.2090.0.2',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),ld(ld(X1,X2),unit))) = mult(X2,ld(X2,ld(mult(ld(X1,unit),X2),unit))) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2090.0.1','0.1968.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.2','L')]).
% 126.83/127.21 cnf('0.2090.0.3',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),ld(ld(X1,X2),unit))) = ld(mult(ld(X1,unit),X2),unit) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2090.0.2','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('R','L')]).
% 126.83/127.21 cnf('0.2090.1.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),ld(ld(X1,X2),unit))) = ld(mult(ld(X1,unit),X2),unit) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.2090.0.3']),
% 126.83/127.21 [weight('<227,2089,1,[1,0,0,1]>')]).
% 126.83/127.21 cnf('0.2090.2.0',plain,
% 126.83/127.21 ( mult(X1,mult(ld(X1,unit),ld(ld(X1,X2),unit))) = ld(mult(ld(X1,unit),X2),unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.2090.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1821]).
% 126.83/127.21 cnf('0.2091.0.0',plain,
% 126.83/127.21 ( mult(ld(X1,unit),ld(ld(X1,X2),unit)) = ld(X1,ld(mult(ld(X1,unit),X2),unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.4.2.0','0.2090.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.2091.1.0',plain,
% 126.83/127.21 ( mult(ld(X1,unit),ld(ld(X1,X2),unit)) = ld(X1,ld(mult(ld(X1,unit),X2),unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.2091.0.0']),
% 126.83/127.21 [weight('<189,2090,4,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.2091.2.0',plain,
% 126.83/127.21 ( mult(ld(X1,unit),ld(ld(X1,X2),unit)) = ld(X1,ld(mult(ld(X1,unit),X2),unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.2091.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1822]).
% 126.83/127.21 cnf('0.2092.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(mult(ld(ld(X1,unit),unit),X2),unit)) = mult(X1,ld(ld(ld(X1,unit),X2),unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.2091.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1','L')]).
% 126.83/127.21 cnf('0.2092.0.1',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(mult(X1,X2),unit)) = mult(X1,ld(ld(ld(X1,unit),X2),unit)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2092.0.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1.1','L')]).
% 126.83/127.21 cnf('0.2092.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(mult(X1,X2),unit)) = mult(X1,ld(ld(ld(X1,unit),X2),unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.2092.0.1']),
% 126.83/127.21 [weight('<189,2091,12,[1,0,0,1]>')]).
% 126.83/127.21 cnf('0.2092.2.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(ld(X1,unit),X2),unit)) = ld(ld(X1,unit),ld(mult(X1,X2),unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.2092.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1823]).
% 126.83/127.21 cnf('0.2093.0.0',plain,
% 126.83/127.21 ( ld(X1,ld(mult(ld(X1,unit),mult(X1,X2)),unit)) = mult(ld(X1,unit),ld(X2,unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.2091.2.0','0.4.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1','L')]).
% 126.83/127.21 cnf('0.2093.0.1',plain,
% 126.83/127.21 ( ld(X1,ld(mult(X1,mult(ld(X1,unit),X2)),unit)) = mult(ld(X1,unit),ld(X2,unit)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2093.0.0','0.281.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1','L')]).
% 126.83/127.21 cnf('0.2093.1.0',plain,
% 126.83/127.21 ( ld(X1,ld(mult(X1,mult(ld(X1,unit),X2)),unit)) = mult(ld(X1,unit),ld(X2,unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.2093.0.1']),
% 126.83/127.21 [weight('<227,2091,4,[1,0,0,5]>')]).
% 126.83/127.21 cnf('0.2093.2.0',plain,
% 126.83/127.21 ( ld(X1,ld(mult(X1,mult(ld(X1,unit),X2)),unit)) = mult(ld(X1,unit),ld(X2,unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.2093.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1824]).
% 126.83/127.21 cnf('0.2096.0.0',plain,
% 126.83/127.21 ( ld(X1,ld(mult(ld(X1,unit),ld(ld(X1,unit),mult(X1,X2))),unit)) = mult(ld(X1,unit),ld(ld(ld(X1,unit),X2),unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.2091.2.0','0.287.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1','L')]).
% 126.83/127.21 cnf('0.2096.0.1',plain,
% 126.83/127.21 ( ld(X1,ld(mult(X1,X2),unit)) = mult(ld(X1,unit),ld(ld(ld(X1,unit),X2),unit)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2096.0.0','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1','L')]).
% 126.83/127.21 cnf('0.2096.1.0',plain,
% 126.83/127.21 ( ld(X1,ld(mult(X1,X2),unit)) = mult(ld(X1,unit),ld(ld(ld(X1,unit),X2),unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.2096.0.1']),
% 126.83/127.21 [weight('<227,2091,287,[1,0,0,5]>')]).
% 126.83/127.21 cnf('0.2096.2.0',plain,
% 126.83/127.21 ( mult(ld(X1,unit),ld(ld(ld(X1,unit),X2),unit)) = ld(X1,ld(mult(X1,X2),unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.2096.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1827]).
% 126.83/127.21 cnf('0.2097.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(mult(ld(ld(X1,unit),unit),ld(X1,X2)),unit)) = mult(ld(ld(X1,unit),unit),ld(ld(X1,ld(ld(X1,unit),X2)),unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.2091.2.0','0.288.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1','L')]).
% 126.83/127.21 cnf('0.2097.0.1',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(mult(X1,ld(X1,X2)),unit)) = mult(ld(ld(X1,unit),unit),ld(ld(X1,ld(ld(X1,unit),X2)),unit)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2097.0.0','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1.1','L')]).
% 126.83/127.21 cnf('0.2097.0.2',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(X2,unit)) = mult(ld(ld(X1,unit),unit),ld(ld(X1,ld(ld(X1,unit),X2)),unit)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2097.0.1','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1','L')]).
% 126.83/127.21 cnf('0.2097.0.3',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(X2,unit)) = mult(X1,ld(ld(X1,ld(ld(X1,unit),X2)),unit)) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2097.0.2','0.12.2.0',theory(equality)]),
% 126.83/127.21 [pos('R.1','L')]).
% 126.83/127.21 cnf('0.2097.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,unit),ld(X2,unit)) = mult(X1,ld(ld(X1,ld(ld(X1,unit),X2)),unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.2097.0.3']),
% 126.83/127.21 [weight('<227,2091,288,[1,0,0,5]>')]).
% 126.83/127.21 cnf('0.2097.2.0',plain,
% 126.83/127.21 ( mult(X1,ld(ld(X1,ld(ld(X1,unit),X2)),unit)) = ld(ld(X1,unit),ld(X2,unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.2097.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1828]).
% 126.83/127.21 cnf('0.2098.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(ld(X1,unit),X2)),unit) = ld(X1,ld(ld(X1,unit),ld(X2,unit))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.4.2.0','0.2097.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.2098.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(ld(X1,unit),X2)),unit) = ld(X1,ld(ld(X1,unit),ld(X2,unit))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.2098.0.0']),
% 126.83/127.21 [weight('<189,2097,4,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.2098.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(ld(X1,unit),X2)),unit) = ld(X1,ld(ld(X1,unit),ld(X2,unit))) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.2098.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1829]).
% 126.83/127.21 cnf('0.2100.0.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,unit),X2),unit) = ld(X1,ld(ld(X1,unit),ld(mult(X1,X2),unit))) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.4.2.0','0.2092.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2','L')]).
% 126.83/127.21 cnf('0.2100.1.0',plain,
% 126.83/127.21 ( ld(ld(ld(X1,unit),X2),unit) = ld(X1,ld(ld(X1,unit),ld(mult(X1,X2),unit))) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.2100.0.0']),
% 126.83/127.21 [weight('<227,2092,4,[0,0,0,2]>')]).
% 126.83/127.21 cnf('0.2100.2.0',plain,
% 126.83/127.21 ( ld(X1,ld(ld(X1,unit),ld(mult(X1,X2),unit))) = ld(ld(ld(X1,unit),X2),unit) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.2100.1.0',theory(equality)]),
% 126.83/127.21 [x,rule_1831]).
% 126.83/127.21 cnf('0.2138.0.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(mult(ld(X1,unit),X2),unit)),unit) = ld(X1,ld(mult(ld(X1,unit),ld(X2,unit)),unit)) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.1965.2.0','0.2093.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1','L')]).
% 126.83/127.21 cnf('0.2138.1.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(mult(ld(X1,unit),X2),unit)),unit) = ld(X1,ld(mult(ld(X1,unit),ld(X2,unit)),unit)) ),
% 126.83/127.21 inference(weigh,[status(thm)],['0.2138.0.0']),
% 126.83/127.21 [weight('<275,2093,1965,[0,0,0,3]>')]).
% 126.83/127.21 cnf('0.2138.2.0',plain,
% 126.83/127.21 ( ld(ld(X1,ld(mult(ld(X1,unit),X2),unit)),unit) = ld(X1,ld(mult(ld(X1,unit),ld(X2,unit)),unit)) ),
% 126.83/127.21 inference(orient,[status(thm)],['0.2138.1.0',theory(equality)]),
% 126.83/127.21 [u,rule_1869]).
% 126.83/127.21 cnf('0.2139.0.0',plain,
% 126.83/127.21 ( ld(X1,ld(mult(ld(X1,unit),ld(ld(ld(ld(X1,unit),X2),ld(X2,ld(ld(X1,unit),X2))),unit)),unit)) = ld(ld(X1,ld(ld(f(X2,ld(X2,ld(ld(X1,unit),X2))),unit),unit)),unit) ),
% 126.83/127.21 inference(cp,[status(thm)],['0.2138.2.0','0.34.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.1.2.1','L')]).
% 126.83/127.21 cnf('0.2139.0.1',plain,
% 126.83/127.21 ( ld(X1,ld(mult(ld(X1,unit),ld(X2,ld(ld(X1,unit),mult(X2,mult(ld(X1,unit),X2))))),unit)) = ld(ld(X1,ld(ld(f(X2,ld(X2,ld(ld(X1,unit),X2))),unit),unit)),unit) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2139.0.0','0.2049.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1.2','L')]).
% 126.83/127.21 cnf('0.2139.0.2',plain,
% 126.83/127.21 ( ld(X1,ld(mult(ld(X1,unit),ld(ld(X1,unit),ld(ld(X2,X1),unit))),unit)) = ld(ld(X1,ld(ld(f(X2,ld(X2,ld(ld(X1,unit),X2))),unit),unit)),unit) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2139.0.1','0.1929.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1.2','L')]).
% 126.83/127.21 cnf('0.2139.0.3',plain,
% 126.83/127.21 ( ld(X1,ld(ld(ld(X2,X1),unit),unit)) = ld(ld(X1,ld(ld(f(X2,ld(X2,ld(ld(X1,unit),X2))),unit),unit)),unit) ),
% 126.83/127.21 inference(reduction,[status(thm)],['0.2139.0.2','0.1.2.0',theory(equality)]),
% 126.83/127.21 [pos('L.2.1','L')]).
% 126.83/127.21 cnf('0.2139.0.4',plain,
% 126.83/127.21 ( ld(X1,ld(X2,X1)) = ld(ld(X1,ld(ld(f(X2,ld(X2,ld(ld(X1,unit),X2))),unit),unit)),unit) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.2139.0.3','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.2139.0.5',plain,
% 126.83/127.22 ( ld(X1,ld(X2,X1)) = ld(ld(X1,f(X2,ld(X2,ld(ld(X1,unit),X2)))),unit) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.2139.0.4','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.1.2','L')]).
% 126.83/127.22 cnf('0.2139.1.0',plain,
% 126.83/127.22 ( ld(X1,ld(X2,X1)) = ld(ld(X1,f(X2,ld(X2,ld(ld(X1,unit),X2)))),unit) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2139.0.5']),
% 126.83/127.22 [weight('<265,2138,34,[1,0,0,4]>')]).
% 126.83/127.22 cnf('0.2139.2.0',plain,
% 126.83/127.22 ( ld(ld(X1,f(X2,ld(X2,ld(ld(X1,unit),X2)))),unit) = ld(X1,ld(X2,X1)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2139.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_1870]).
% 126.83/127.22 cnf('0.2140.0.0',plain,
% 126.83/127.22 ( ld(X1,f(X2,ld(X2,ld(ld(X1,unit),X2)))) = ld(ld(X1,ld(X2,X1)),unit) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.12.2.0','0.2139.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1','L')]).
% 126.83/127.22 cnf('0.2140.1.0',plain,
% 126.83/127.22 ( ld(X1,f(X2,ld(X2,ld(ld(X1,unit),X2)))) = ld(ld(X1,ld(X2,X1)),unit) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2140.0.0']),
% 126.83/127.22 [weight('<227,2139,12,[0,0,0,1]>')]).
% 126.83/127.22 cnf('0.2140.2.0',plain,
% 126.83/127.22 ( ld(X1,f(X2,ld(X2,ld(ld(X1,unit),X2)))) = ld(ld(X1,ld(X2,X1)),unit) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2140.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_1871]).
% 126.83/127.22 cnf('0.2141.0.0',plain,
% 126.83/127.22 ( ld(X1,ld(mult(X1,f(X2,ld(X2,ld(ld(ld(X1,unit),unit),X2)))),unit)) = mult(ld(X1,unit),ld(ld(ld(ld(X1,unit),ld(X2,ld(X1,unit))),unit),unit)) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.2096.2.0','0.2140.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.1','L')]).
% 126.83/127.22 cnf('0.2141.0.1',plain,
% 126.83/127.22 ( ld(X1,ld(mult(X1,f(X2,ld(X2,ld(X1,X2)))),unit)) = mult(ld(X1,unit),ld(ld(ld(ld(X1,unit),ld(X2,ld(X1,unit))),unit),unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.2141.0.0','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.1.2.2.2.1','L')]).
% 126.83/127.22 cnf('0.2141.0.2',plain,
% 126.83/127.22 ( ld(X1,ld(mult(X1,f(X2,ld(X2,ld(X1,X2)))),unit)) = mult(ld(X1,unit),ld(ld(X1,unit),ld(X2,ld(X1,unit)))) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.2141.0.1','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.2','L')]).
% 126.83/127.22 cnf('0.2141.0.3',plain,
% 126.83/127.22 ( ld(X1,ld(mult(X1,f(X2,ld(X2,ld(X1,X2)))),unit)) = ld(X2,ld(X1,unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.2141.0.2','0.1.2.0',theory(equality)]),
% 126.83/127.22 [pos('R','L')]).
% 126.83/127.22 cnf('0.2141.1.0',plain,
% 126.83/127.22 ( ld(X1,ld(mult(X1,f(X2,ld(X2,ld(X1,X2)))),unit)) = ld(X2,ld(X1,unit)) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2141.0.3']),
% 126.83/127.22 [weight('<265,2140,2096,[0,0,0,5]>')]).
% 126.83/127.22 cnf('0.2141.2.0',plain,
% 126.83/127.22 ( ld(X1,ld(mult(X1,f(X2,ld(X2,ld(X1,X2)))),unit)) = ld(X2,ld(X1,unit)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2141.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_1872]).
% 126.83/127.22 cnf('0.2142.0.0',plain,
% 126.83/127.22 ( ld(mult(X1,f(X2,ld(X2,ld(X1,X2)))),unit) = mult(X1,ld(X2,ld(X1,unit))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.1.2.0','0.2141.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.2142.1.0',plain,
% 126.83/127.22 ( ld(mult(X1,f(X2,ld(X2,ld(X1,X2)))),unit) = mult(X1,ld(X2,ld(X1,unit))) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2142.0.0']),
% 126.83/127.22 [weight('<227,2141,1,[0,0,0,2]>')]).
% 126.83/127.22 cnf('0.2142.2.0',plain,
% 126.83/127.22 ( ld(mult(X1,f(X2,ld(X2,ld(X1,X2)))),unit) = mult(X1,ld(X2,ld(X1,unit))) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2142.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_1873]).
% 126.83/127.22 cnf('0.2143.0.0',plain,
% 126.83/127.22 ( mult(X1,f(X2,ld(X2,ld(X1,X2)))) = ld(mult(X1,ld(X2,ld(X1,unit))),unit) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.12.2.0','0.2142.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1','L')]).
% 126.83/127.22 cnf('0.2143.1.0',plain,
% 126.83/127.22 ( mult(X1,f(X2,ld(X2,ld(X1,X2)))) = ld(mult(X1,ld(X2,ld(X1,unit))),unit) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2143.0.0']),
% 126.83/127.22 [weight('<189,2142,12,[0,0,0,1]>')]).
% 126.83/127.22 cnf('0.2143.2.0',plain,
% 126.83/127.22 ( mult(X1,f(X2,ld(X2,ld(X1,X2)))) = ld(mult(X1,ld(X2,ld(X1,unit))),unit) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2143.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_1874]).
% 126.83/127.22 cnf('0.2194.0.0',plain,
% 126.83/127.22 ( mult(ld(X1,unit),f(X2,X2)) = mult(X2,ld(X1,ld(mult(X1,ld(X2,ld(X1,unit))),unit))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.607.2.0','0.2096.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.2194.1.0',plain,
% 126.83/127.22 ( mult(ld(X1,unit),f(X2,X2)) = mult(X2,ld(X1,ld(mult(X1,ld(X2,ld(X1,unit))),unit))) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2194.0.0']),
% 126.83/127.22 [weight('<293,2096,607,[0,0,0,2]>')]).
% 126.83/127.22 cnf('0.2194.2.0',plain,
% 126.83/127.22 ( mult(X1,ld(X2,ld(mult(X2,ld(X1,ld(X2,unit))),unit))) = mult(ld(X2,unit),f(X1,X1)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2194.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_1925]).
% 126.83/127.22 cnf('0.2294.0.0',plain,
% 126.83/127.22 ( ld(ld(X1,X2),ld(mult(ld(ld(X1,X2),unit),X2),unit)) = mult(ld(ld(X1,X2),unit),ld(X1,unit)) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.2091.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.1','L')]).
% 126.83/127.22 cnf('0.2294.1.0',plain,
% 126.83/127.22 ( ld(ld(X1,X2),ld(mult(ld(ld(X1,X2),unit),X2),unit)) = mult(ld(ld(X1,X2),unit),ld(X1,unit)) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2294.0.0']),
% 126.83/127.22 [weight('<321,2091,12,[1,0,0,5]>')]).
% 126.83/127.22 cnf('0.2294.1.1',plain,
% 126.83/127.22 ( ld(ld(X1,X2),ld(mult(X2,ld(ld(X1,X2),unit)),unit)) = mult(ld(ld(X1,X2),unit),ld(X1,unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.2294.1.0','0.5.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.1','L')]).
% 126.83/127.22 cnf('0.2294.1.2',plain,
% 126.83/127.22 ( ld(ld(X1,X2),ld(mult(X2,ld(ld(X1,X2),unit)),unit)) = mult(ld(X1,unit),ld(ld(X1,X2),unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.2294.1.1','0.5.2.0',theory(equality)]),
% 126.83/127.22 [pos('R','L')]).
% 126.83/127.22 cnf('0.2294.1.3',plain,
% 126.83/127.22 ( ld(ld(X1,X2),ld(mult(X2,ld(ld(X1,X2),unit)),unit)) = ld(X1,ld(mult(ld(X1,unit),X2),unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.2294.1.2','0.2091.2.0',theory(equality)]),
% 126.83/127.22 [pos('R','L')]).
% 126.83/127.22 cnf('0.2294.2.0',plain,
% 126.83/127.22 ( ld(ld(X1,X2),ld(mult(X2,ld(ld(X1,X2),unit)),unit)) = ld(X1,ld(mult(ld(X1,unit),X2),unit)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2294.1.3',theory(equality)]),
% 126.83/127.22 [u,rule_2023]).
% 126.83/127.22 cnf('0.2324.0.0',plain,
% 126.83/127.22 ( ld(mult(ld(X1,X2),ld(X2,ld(ld(X1,X2),unit))),unit) = mult(ld(X1,X2),f(X2,ld(X2,X1))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.2143.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.2.2','L')]).
% 126.83/127.22 cnf('0.2324.1.0',plain,
% 126.83/127.22 ( ld(mult(ld(X1,X2),ld(X2,ld(ld(X1,X2),unit))),unit) = mult(ld(X1,X2),f(X2,ld(X2,X1))) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2324.0.0']),
% 126.83/127.22 [weight('<321,2143,12,[1,0,0,6]>')]).
% 126.83/127.22 cnf('0.2324.2.0',plain,
% 126.83/127.22 ( ld(mult(ld(X1,X2),ld(X2,ld(ld(X1,X2),unit))),unit) = mult(ld(X1,X2),f(X2,ld(X2,X1))) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2324.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_2053]).
% 126.83/127.22 cnf('0.2325.0.0',plain,
% 126.83/127.22 ( mult(ld(ld(X1,X2),unit),f(X2,X2)) = mult(X2,ld(ld(X1,X2),mult(ld(X1,X2),f(X2,ld(X2,X1))))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.2194.2.0','0.2324.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.2','L')]).
% 126.83/127.22 cnf('0.2325.0.1',plain,
% 126.83/127.22 ( mult(ld(ld(X1,X2),unit),f(X2,X2)) = mult(X2,f(X2,ld(X2,X1))) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.2325.0.0','0.4.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.2','L')]).
% 126.83/127.22 cnf('0.2325.1.0',plain,
% 126.83/127.22 ( mult(ld(ld(X1,X2),unit),f(X2,X2)) = mult(X2,f(X2,ld(X2,X1))) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2325.0.1']),
% 126.83/127.22 [weight('<169,2324,2194,[0,0,0,4]>')]).
% 126.83/127.22 cnf('0.2325.2.0',plain,
% 126.83/127.22 ( mult(ld(ld(X1,X2),unit),f(X2,X2)) = mult(X2,f(X2,ld(X2,X1))) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2325.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_2054]).
% 126.83/127.22 cnf('0.2327.0.0',plain,
% 126.83/127.22 ( mult(X1,f(X1,ld(X1,ld(X2,X1)))) = mult(ld(X2,unit),f(X1,X1)) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.2325.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1.1','L')]).
% 126.83/127.22 cnf('0.2327.1.0',plain,
% 126.83/127.22 ( mult(X1,f(X1,ld(X1,ld(X2,X1)))) = mult(ld(X2,unit),f(X1,X1)) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2327.0.0']),
% 126.83/127.22 [weight('<169,2325,12,[1,0,0,2]>')]).
% 126.83/127.22 cnf('0.2327.2.0',plain,
% 126.83/127.22 ( mult(X1,f(X1,ld(X1,ld(X2,X1)))) = mult(ld(X2,unit),f(X1,X1)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2327.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_2056]).
% 126.83/127.22 cnf('0.2329.0.0',plain,
% 126.83/127.22 ( f(X1,ld(X1,ld(X2,X1))) = ld(X1,mult(ld(X2,unit),f(X1,X1))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.4.2.0','0.2327.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.2329.1.0',plain,
% 126.83/127.22 ( f(X1,ld(X1,ld(X2,X1))) = ld(X1,mult(ld(X2,unit),f(X1,X1))) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2329.0.0']),
% 126.83/127.22 [weight('<169,2327,4,[0,0,0,2]>')]).
% 126.83/127.22 cnf('0.2329.2.0',plain,
% 126.83/127.22 ( ld(X1,mult(ld(X2,unit),f(X1,X1))) = f(X1,ld(X1,ld(X2,X1))) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2329.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_2058]).
% 126.83/127.22 cnf('0.2334.0.0',plain,
% 126.83/127.22 ( ld(ld(X1,X2),unit) = ld(f(X2,X2),mult(X2,f(X2,ld(X2,X1)))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.11.2.0','0.2325.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.2334.1.0',plain,
% 126.83/127.22 ( ld(ld(X1,X2),unit) = ld(f(X2,X2),mult(X2,f(X2,ld(X2,X1)))) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2334.0.0']),
% 126.83/127.22 [weight('<203,2325,11,[0,0,0,2]>')]).
% 126.83/127.22 cnf('0.2334.2.0',plain,
% 126.83/127.22 ( ld(f(X1,X1),mult(X1,f(X1,ld(X1,X2)))) = ld(ld(X2,X1),unit) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2334.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_2063]).
% 126.83/127.22 cnf('0.2335.0.0',plain,
% 126.83/127.22 ( ld(ld(mult(X1,X2),X1),unit) = ld(f(X1,X1),mult(X1,f(X1,X2))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.2334.2.0','0.4.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.2.2','L')]).
% 126.83/127.22 cnf('0.2335.1.0',plain,
% 126.83/127.22 ( ld(ld(mult(X1,X2),X1),unit) = ld(f(X1,X1),mult(X1,f(X1,X2))) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2335.0.0']),
% 126.83/127.22 [weight('<169,2334,4,[1,0,0,8]>')]).
% 126.83/127.22 cnf('0.2335.2.0',plain,
% 126.83/127.22 ( ld(f(X1,X1),mult(X1,f(X1,X2))) = ld(ld(mult(X1,X2),X1),unit) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2335.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_2064]).
% 126.83/127.22 cnf('0.2337.0.0',plain,
% 126.83/127.22 ( ld(f(X1,X1),f(X1,X2)) = ld(X1,ld(ld(mult(X1,X2),X1),unit)) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.75.2.0','0.2335.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.2337.1.0',plain,
% 126.83/127.22 ( ld(f(X1,X1),f(X1,X2)) = ld(X1,ld(ld(mult(X1,X2),X1),unit)) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2337.0.0']),
% 126.83/127.22 [weight('<169,2335,75,[0,0,0,2]>')]).
% 126.83/127.22 cnf('0.2337.2.0',plain,
% 126.83/127.22 ( ld(X1,ld(ld(mult(X1,X2),X1),unit)) = ld(f(X1,X1),f(X1,X2)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2337.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_2066]).
% 126.83/127.22 cnf('0.2368.0.0',plain,
% 126.83/127.22 ( mult(ld(X1,X2),ld(X2,ld(ld(X1,X2),unit))) = ld(mult(ld(X1,X2),f(X2,ld(X2,X1))),unit) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.12.2.0','0.2324.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1','L')]).
% 126.83/127.22 cnf('0.2368.1.0',plain,
% 126.83/127.22 ( mult(ld(X1,X2),ld(X2,ld(ld(X1,X2),unit))) = ld(mult(ld(X1,X2),f(X2,ld(X2,X1))),unit) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2368.0.0']),
% 126.83/127.22 [weight('<275,2324,12,[0,0,0,1]>')]).
% 126.83/127.22 cnf('0.2368.2.0',plain,
% 126.83/127.22 ( mult(ld(X1,X2),ld(X2,ld(ld(X1,X2),unit))) = ld(mult(ld(X1,X2),f(X2,ld(X2,X1))),unit) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2368.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_2097]).
% 126.83/127.22 cnf('0.2470.0.0',plain,
% 126.83/127.22 ( ld(ld(ld(X1,X2),ld(ld(X2,ld(ld(X1,X2),unit)),unit)),unit) = ld(ld(X1,X2),ld(ld(ld(X1,X2),ld(ld(mult(ld(X1,X2),f(X2,ld(X2,X1))),unit),unit)),unit)) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.1965.2.0','0.2368.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.1.2.1','L')]).
% 126.83/127.22 cnf('0.2470.0.1',plain,
% 126.83/127.22 ( ld(ld(ld(X1,X2),ld(ld(X2,ld(ld(X1,X2),unit)),unit)),unit) = ld(ld(X1,X2),ld(ld(ld(X1,X2),mult(ld(X1,X2),f(X2,ld(X2,X1)))),unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.2470.0.0','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.2.1.2','L')]).
% 126.83/127.22 cnf('0.2470.0.2',plain,
% 126.83/127.22 ( ld(ld(ld(X1,X2),ld(ld(X2,ld(ld(X1,X2),unit)),unit)),unit) = ld(ld(X1,X2),ld(f(X2,ld(X2,X1)),unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.2470.0.1','0.4.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.2.1','L')]).
% 126.83/127.22 cnf('0.2470.0.3',plain,
% 126.83/127.22 ( ld(ld(ld(X1,X2),ld(ld(X2,ld(ld(X1,X2),unit)),unit)),unit) = ld(X1,ld(X2,X1)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.2470.0.2','0.23.2.0',theory(equality)]),
% 126.83/127.22 [pos('R','L')]).
% 126.83/127.22 cnf('0.2470.1.0',plain,
% 126.83/127.22 ( ld(ld(ld(X1,X2),ld(ld(X2,ld(ld(X1,X2),unit)),unit)),unit) = ld(X1,ld(X2,X1)) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2470.0.3']),
% 126.83/127.22 [weight('<335,2368,1965,[0,0,0,6]>')]).
% 126.83/127.22 cnf('0.2470.2.0',plain,
% 126.83/127.22 ( ld(ld(ld(X1,X2),ld(ld(X2,ld(ld(X1,X2),unit)),unit)),unit) = ld(X1,ld(X2,X1)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2470.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_2197]).
% 126.83/127.22 cnf('0.2471.0.0',plain,
% 126.83/127.22 ( ld(ld(X1,X2),ld(ld(X2,ld(ld(X1,X2),unit)),unit)) = ld(ld(X1,ld(X2,X1)),unit) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.12.2.0','0.2470.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1','L')]).
% 126.83/127.22 cnf('0.2471.1.0',plain,
% 126.83/127.22 ( ld(ld(X1,X2),ld(ld(X2,ld(ld(X1,X2),unit)),unit)) = ld(ld(X1,ld(X2,X1)),unit) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2471.0.0']),
% 126.83/127.22 [weight('<293,2470,12,[0,0,0,1]>')]).
% 126.83/127.22 cnf('0.2471.2.0',plain,
% 126.83/127.22 ( ld(ld(X1,X2),ld(ld(X2,ld(ld(X1,X2),unit)),unit)) = ld(ld(X1,ld(X2,X1)),unit) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2471.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_2198]).
% 126.83/127.22 cnf('0.2472.0.0',plain,
% 126.83/127.22 ( ld(ld(X1,ld(ld(X2,X1),unit)),unit) = mult(ld(X2,X1),ld(ld(X2,ld(X1,X2)),unit)) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.1.2.0','0.2471.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.2472.1.0',plain,
% 126.83/127.22 ( ld(ld(X1,ld(ld(X2,X1),unit)),unit) = mult(ld(X2,X1),ld(ld(X2,ld(X1,X2)),unit)) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.2472.0.0']),
% 126.83/127.22 [weight('<251,2471,1,[0,0,0,2]>')]).
% 126.83/127.22 cnf('0.2472.2.0',plain,
% 126.83/127.22 ( mult(ld(X1,X2),ld(ld(X1,ld(X2,X1)),unit)) = ld(ld(X2,ld(ld(X1,X2),unit)),unit) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.2472.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_2199]).
% 126.83/127.22 cnf('0.3094.0.0',plain,
% 126.83/127.22 ( ld(X1,ld(X2,mult(X1,mult(X2,ld(X1,f(X2,X2)))))) = ld(ld(X2,X1),ld(X1,ld(X2,mult(f(X2,X2),X1)))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.2048.2.0','0.87.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.2','L')]).
% 126.83/127.22 cnf('0.3094.0.1',plain,
% 126.83/127.22 ( ld(X1,ld(X2,mult(X1,mult(X2,ld(X1,f(X2,X2)))))) = ld(ld(X2,X1),ld(ld(X1,ld(X2,X1)),unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.3094.0.0','0.614.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.2','L')]).
% 126.83/127.22 cnf('0.3094.1.0',plain,
% 126.83/127.22 ( ld(X1,ld(X2,mult(X1,mult(X2,ld(X1,f(X2,X2)))))) = ld(ld(X2,X1),ld(ld(X1,ld(X2,X1)),unit)) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.3094.0.1']),
% 126.83/127.22 [weight('<349,2048,87,[1,0,0,6]>')]).
% 126.83/127.22 cnf('0.3094.2.0',plain,
% 126.83/127.22 ( ld(X1,ld(X2,mult(X1,mult(X2,ld(X1,f(X2,X2)))))) = ld(ld(X2,X1),ld(ld(X1,ld(X2,X1)),unit)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.3094.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_2784]).
% 126.83/127.22 cnf('0.3095.0.0',plain,
% 126.83/127.22 ( ld(ld(ld(X1,unit),X2),ld(X2,ld(ld(X1,unit),X2))) = ld(ld(ld(X1,unit),ld(ld(X2,X1),unit)),unit) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.2050.2.0','0.1929.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1','L')]).
% 126.83/127.22 cnf('0.3095.1.0',plain,
% 126.83/127.22 ( ld(ld(ld(X1,unit),X2),ld(X2,ld(ld(X1,unit),X2))) = ld(ld(ld(X1,unit),ld(ld(X2,X1),unit)),unit) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.3095.0.0']),
% 126.83/127.22 [weight('<349,2050,1929,[1,0,0,1]>')]).
% 126.83/127.22 cnf('0.3095.2.0',plain,
% 126.83/127.22 ( ld(ld(ld(X1,unit),X2),ld(X2,ld(ld(X1,unit),X2))) = ld(ld(ld(X1,unit),ld(ld(X2,X1),unit)),unit) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.3095.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_2785]).
% 126.83/127.22 cnf('0.3262.0.0',plain,
% 126.83/127.22 ( ld(ld(ld(X1,X2),ld(ld(X2,ld(X1,X2)),unit)),unit) = mult(ld(X2,ld(X1,X2)),ld(ld(X2,X1),unit)) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.2472.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.1.2','L')]).
% 126.83/127.22 cnf('0.3262.1.0',plain,
% 126.83/127.22 ( ld(ld(ld(X1,X2),ld(ld(X2,ld(X1,X2)),unit)),unit) = mult(ld(X2,ld(X1,X2)),ld(ld(X2,X1),unit)) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.3262.0.0']),
% 126.83/127.22 [weight('<349,2472,12,[1,0,0,7]>')]).
% 126.83/127.22 cnf('0.3262.2.0',plain,
% 126.83/127.22 ( ld(ld(ld(X1,X2),ld(ld(X2,ld(X1,X2)),unit)),unit) = mult(ld(X2,ld(X1,X2)),ld(ld(X2,X1),unit)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.3262.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_2950]).
% 126.83/127.22 cnf('0.5592.0.0',plain,
% 126.83/127.22 ( mult(X1,ld(ld(ld(X2,X1),X1),ld(X1,X3))) = ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),ld(X1,ld(X2,X3))))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.1927.2.0','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.2.2.2.1','L')]).
% 126.83/127.22 cnf('0.5592.0.1',plain,
% 126.83/127.22 ( mult(X1,ld(X2,ld(X1,X3))) = ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),ld(X1,ld(X2,X3))))) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5592.0.0','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.1','L')]).
% 126.83/127.22 cnf('0.5592.1.0',plain,
% 126.83/127.22 ( mult(X1,ld(X2,ld(X1,X3))) = ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),ld(X1,ld(X2,X3))))) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5592.0.1']),
% 126.83/127.22 [weight('<367,1927,12,[1,0,0,9]>')]).
% 126.83/127.22 cnf('0.5592.2.0',plain,
% 126.83/127.22 ( ld(ld(X1,X2),mult(X2,mult(ld(X1,X2),ld(X2,ld(X1,X3))))) = mult(X2,ld(X1,ld(X2,X3))) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5592.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_4543]).
% 126.83/127.22 cnf('0.5594.0.0',plain,
% 126.83/127.22 ( mult(X1,ld(X2,ld(X1,mult(X2,X3)))) = ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),ld(X1,X3)))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.5592.2.0','0.4.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.2.2.2','L')]).
% 126.83/127.22 cnf('0.5594.1.0',plain,
% 126.83/127.22 ( mult(X1,ld(X2,ld(X1,mult(X2,X3)))) = ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),ld(X1,X3)))) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5594.0.0']),
% 126.83/127.22 [weight('<321,5592,4,[1,0,0,12]>')]).
% 126.83/127.22 cnf('0.5594.2.0',plain,
% 126.83/127.22 ( ld(ld(X1,X2),mult(X2,mult(ld(X1,X2),ld(X2,X3)))) = mult(X2,ld(X1,ld(X2,mult(X1,X3)))) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5594.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_4545]).
% 126.83/127.22 cnf('0.5595.0.0',plain,
% 126.83/127.22 ( mult(X1,ld(X2,ld(X1,mult(X2,mult(X1,X3))))) = ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),X3))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.5594.2.0','0.4.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.2.2','L')]).
% 126.83/127.22 cnf('0.5595.1.0',plain,
% 126.83/127.22 ( mult(X1,ld(X2,ld(X1,mult(X2,mult(X1,X3))))) = ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),X3))) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5595.0.0']),
% 126.83/127.22 [weight('<275,5594,4,[1,0,0,10]>')]).
% 126.83/127.22 cnf('0.5595.2.0',plain,
% 126.83/127.22 ( mult(X1,ld(X2,ld(X1,mult(X2,mult(X1,X3))))) = ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),X3))) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5595.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_4546]).
% 126.83/127.22 cnf('0.5606.0.0',plain,
% 126.83/127.22 ( ld(X1,ld(X2,mult(X1,mult(X2,X3)))) = ld(X2,ld(ld(X1,X2),mult(X2,mult(ld(X1,X2),X3)))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.4.2.0','0.5595.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.5606.1.0',plain,
% 126.83/127.22 ( ld(X1,ld(X2,mult(X1,mult(X2,X3)))) = ld(X2,ld(ld(X1,X2),mult(X2,mult(ld(X1,X2),X3)))) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5606.0.0']),
% 126.83/127.22 [weight('<321,5595,4,[0,0,0,2]>')]).
% 126.83/127.22 cnf('0.5606.2.0',plain,
% 126.83/127.22 ( ld(X1,ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),X3)))) = ld(X2,ld(X1,mult(X2,mult(X1,X3)))) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5606.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_4557]).
% 126.83/127.22 cnf('0.5607.0.0',plain,
% 126.83/127.22 ( ld(X1,ld(X2,mult(X1,mult(X2,ld(X1,f(X2,X2)))))) = ld(X2,ld(ld(X1,X2),f(mult(X2,ld(X1,X2)),mult(X2,ld(X1,X2))))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.5606.2.0','0.2054.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.2','L')]).
% 126.83/127.22 cnf('0.5607.0.1',plain,
% 126.83/127.22 ( ld(ld(X2,X1),ld(ld(X1,ld(X2,X1)),unit)) = ld(X2,ld(ld(X1,X2),f(mult(X2,ld(X1,X2)),mult(X2,ld(X1,X2))))) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5607.0.0','0.3094.2.0',theory(equality)]),
% 126.83/127.22 [pos('L','L')]).
% 126.83/127.22 cnf('0.5607.0.2',plain,
% 126.83/127.22 ( ld(ld(X2,X1),ld(ld(X1,ld(X2,X1)),unit)) = ld(ld(X2,ld(ld(X1,X2),unit)),unit) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5607.0.1','0.1337.2.0',theory(equality)]),
% 126.83/127.22 [pos('R','L')]).
% 126.83/127.22 cnf('0.5607.1.0',plain,
% 126.83/127.22 ( ld(ld(X2,X1),ld(ld(X1,ld(X2,X1)),unit)) = ld(ld(X2,ld(ld(X1,X2),unit)),unit) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5607.0.2']),
% 126.83/127.22 [weight('<251,5606,2054,[1,0,0,6]>')]).
% 126.83/127.22 cnf('0.5607.2.0',plain,
% 126.83/127.22 ( ld(ld(X1,X2),ld(ld(X2,ld(X1,X2)),unit)) = ld(ld(X1,ld(ld(X2,X1),unit)),unit) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5607.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_4558]).
% 126.83/127.22 cnf('0.5608.0.0',plain,
% 126.83/127.22 ( ld(ld(ld(X1,X2),ld(ld(X2,ld(X1,X2)),unit)),unit) = mult(ld(X2,ld(X1,X2)),ld(ld(X2,X1),unit)) ),
% 126.83/127.22 inference(interreduction_right,[status(thm)],['0.3262.2.0'])).
% 126.83/127.22 cnf('0.5608.0.1',plain,
% 126.83/127.22 ( ld(ld(ld(X1,ld(ld(X2,X1),unit)),unit),unit) = mult(ld(X2,ld(X1,X2)),ld(ld(X2,X1),unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5608.0.0','0.5607.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1','L')]).
% 126.83/127.22 cnf('0.5608.0.2',plain,
% 126.83/127.22 ( ld(X1,ld(ld(X2,X1),unit)) = mult(ld(X2,ld(X1,X2)),ld(ld(X2,X1),unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5608.0.1','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('L','L')]).
% 126.83/127.22 cnf('0.5608.1.0',plain,
% 126.83/127.22 ( ld(X1,ld(ld(X2,X1),unit)) = mult(ld(X2,ld(X1,X2)),ld(ld(X2,X1),unit)) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5608.0.2']),
% 126.83/127.22 [weight('<227,3262,5607,[0,0,0,0]>')]).
% 126.83/127.22 cnf('0.5608.2.0',plain,
% 126.83/127.22 ( mult(ld(X1,ld(X2,X1)),ld(ld(X1,X2),unit)) = ld(X2,ld(ld(X1,X2),unit)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5608.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_4559]).
% 126.83/127.22 cnf('0.5614.0.0',plain,
% 126.83/127.22 ( ld(X1,ld(ld(ld(ld(X2,unit),X1),X1),unit)) = mult(ld(ld(ld(X2,unit),ld(ld(X1,X2),unit)),unit),ld(ld(ld(ld(X2,unit),X1),X1),unit)) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.5608.2.0','0.3095.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1','L')]).
% 126.83/127.22 cnf('0.5614.0.1',plain,
% 126.83/127.22 ( ld(X1,ld(ld(X2,unit),unit)) = mult(ld(ld(ld(X2,unit),ld(ld(X1,X2),unit)),unit),ld(ld(ld(ld(X2,unit),X1),X1),unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5614.0.0','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.1','L')]).
% 126.83/127.22 cnf('0.5614.0.2',plain,
% 126.83/127.22 ( ld(X1,X2) = mult(ld(ld(ld(X2,unit),ld(ld(X1,X2),unit)),unit),ld(ld(ld(ld(X2,unit),X1),X1),unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5614.0.1','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.5614.0.3',plain,
% 126.83/127.22 ( ld(X1,X2) = mult(ld(ld(ld(X2,unit),ld(ld(X1,X2),unit)),unit),ld(ld(X2,unit),unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5614.0.2','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.2.1','L')]).
% 126.83/127.22 cnf('0.5614.0.4',plain,
% 126.83/127.22 ( ld(X1,X2) = mult(ld(ld(ld(X2,unit),ld(ld(X1,X2),unit)),unit),X2) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5614.0.3','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.2','L')]).
% 126.83/127.22 cnf('0.5614.1.0',plain,
% 126.83/127.22 ( ld(X1,X2) = mult(ld(ld(ld(X2,unit),ld(ld(X1,X2),unit)),unit),X2) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5614.0.4']),
% 126.83/127.22 [weight('<237,5608,3095,[1,0,0,1]>')]).
% 126.83/127.22 cnf('0.5614.1.1',plain,
% 126.83/127.22 ( ld(X1,X2) = mult(X2,ld(ld(ld(X2,unit),ld(ld(X1,X2),unit)),unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5614.1.0','0.5.2.0',theory(equality)]),
% 126.83/127.22 [pos('R','L')]).
% 126.83/127.22 cnf('0.5614.1.2',plain,
% 126.83/127.22 ( ld(X1,X2) = ld(ld(X2,unit),ld(mult(X2,ld(ld(X1,X2),unit)),unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5614.1.1','0.2092.2.0',theory(equality)]),
% 126.83/127.22 [pos('R','L')]).
% 126.83/127.22 cnf('0.5614.2.0',plain,
% 126.83/127.22 ( ld(ld(X1,unit),ld(mult(X1,ld(ld(X2,X1),unit)),unit)) = ld(X2,X1) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5614.1.2',theory(equality)]),
% 126.83/127.22 [x,rule_4565]).
% 126.83/127.22 cnf('0.5615.0.0',plain,
% 126.83/127.22 ( ld(X1,unit) = ld(ld(X2,X1),ld(mult(X1,ld(ld(X2,X1),unit)),unit)) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.12.2.0','0.5614.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1','L')]).
% 126.83/127.22 cnf('0.5615.0.1',plain,
% 126.83/127.22 ( ld(X1,unit) = ld(X2,ld(mult(ld(X2,unit),X1),unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5615.0.0','0.2294.2.0',theory(equality)]),
% 126.83/127.22 [pos('R','L')]).
% 126.83/127.22 cnf('0.5615.1.0',plain,
% 126.83/127.22 ( ld(X1,unit) = ld(X2,ld(mult(ld(X2,unit),X1),unit)) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5615.0.1']),
% 126.83/127.22 [weight('<129,5614,12,[0,0,0,1]>')]).
% 126.83/127.22 cnf('0.5615.2.0',plain,
% 126.83/127.22 ( ld(X1,ld(mult(ld(X1,unit),X2),unit)) = ld(X2,unit) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5615.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_4566]).
% 126.83/127.22 cnf('0.5616.0.0',plain,
% 126.83/127.22 ( ld(mult(ld(X1,unit),X2),unit) = mult(X1,ld(X2,unit)) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.1.2.0','0.5615.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.5616.1.0',plain,
% 126.83/127.22 ( ld(mult(ld(X1,unit),X2),unit) = mult(X1,ld(X2,unit)) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5616.0.0']),
% 126.83/127.22 [weight('<103,5615,1,[0,0,0,2]>')]).
% 126.83/127.22 cnf('0.5616.2.0',plain,
% 126.83/127.22 ( ld(mult(ld(X1,unit),X2),unit) = mult(X1,ld(X2,unit)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5616.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_4567]).
% 126.83/127.22 cnf('0.5617.0.0',plain,
% 126.83/127.22 ( mult(X1,ld(X2,unit)) = ld(mult(X2,ld(X1,unit)),unit) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.5616.2.0','0.5.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1','L')]).
% 126.83/127.22 cnf('0.5617.1.0',plain,
% 126.83/127.22 ( mult(X1,ld(X2,unit)) = ld(mult(X2,ld(X1,unit)),unit) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5617.0.0']),
% 126.83/127.22 [weight('<103,5616,5,[1,0,0,1]>')]).
% 126.83/127.22 cnf('0.5617.2.0',plain,
% 126.83/127.22 ( ld(mult(X1,ld(X2,unit)),unit) = mult(X2,ld(X1,unit)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5617.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_4568]).
% 126.83/127.22 cnf('0.5619.0.0',plain,
% 126.83/127.22 ( mult(ld(X1,unit),ld(ld(X1,ld(ld(X1,unit),X2)),unit)) = ld(ld(X1,ld(ld(X1,unit),mult(mult(X1,unit),X2))),unit) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.5616.2.0','0.1636.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1','L')]).
% 126.83/127.22 cnf('0.5619.0.1',plain,
% 126.83/127.22 ( mult(ld(X1,unit),ld(X1,ld(ld(X1,unit),ld(X2,unit)))) = ld(ld(X1,ld(ld(X1,unit),mult(mult(X1,unit),X2))),unit) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5619.0.0','0.2098.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.5619.0.2',plain,
% 126.83/127.22 ( ld(X1,mult(ld(X1,unit),ld(ld(X1,unit),ld(X2,unit)))) = ld(ld(X1,ld(ld(X1,unit),mult(mult(X1,unit),X2))),unit) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5619.0.1','0.284.2.0',theory(equality)]),
% 126.83/127.22 [pos('L','L')]).
% 126.83/127.22 cnf('0.5619.0.3',plain,
% 126.83/127.22 ( ld(X1,ld(X2,unit)) = ld(ld(X1,ld(ld(X1,unit),mult(mult(X1,unit),X2))),unit) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5619.0.2','0.1.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.5619.0.4',plain,
% 126.83/127.22 ( ld(X1,ld(X2,unit)) = ld(X1,ld(ld(X1,unit),ld(mult(mult(X1,unit),X2),unit))) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5619.0.3','0.2098.2.0',theory(equality)]),
% 126.83/127.22 [pos('R','L')]).
% 126.83/127.22 cnf('0.5619.0.5',plain,
% 126.83/127.22 ( ld(X1,ld(X2,unit)) = ld(X1,ld(ld(X1,unit),ld(mult(X1,X2),unit))) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5619.0.4','0.2.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.2.2.1.1','L')]).
% 126.83/127.22 cnf('0.5619.0.6',plain,
% 126.83/127.22 ( ld(X1,ld(X2,unit)) = ld(ld(ld(X1,unit),X2),unit) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5619.0.5','0.2100.2.0',theory(equality)]),
% 126.83/127.22 [pos('R','L')]).
% 126.83/127.22 cnf('0.5619.1.0',plain,
% 126.83/127.22 ( ld(X1,ld(X2,unit)) = ld(ld(ld(X1,unit),X2),unit) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5619.0.6']),
% 126.83/127.22 [weight('<103,5616,1636,[1,0,0,1]>')]).
% 126.83/127.22 cnf('0.5619.2.0',plain,
% 126.83/127.22 ( ld(ld(ld(X1,unit),X2),unit) = ld(X1,ld(X2,unit)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5619.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_4570]).
% 126.83/127.22 cnf('0.5622.0.0',plain,
% 126.83/127.22 ( ld(ld(X1,unit),X2) = ld(ld(X1,ld(X2,unit)),unit) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.12.2.0','0.5619.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1','L')]).
% 126.83/127.22 cnf('0.5622.1.0',plain,
% 126.83/127.22 ( ld(ld(X1,unit),X2) = ld(ld(X1,ld(X2,unit)),unit) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5622.0.0']),
% 126.83/127.22 [weight('<103,5619,12,[0,0,0,1]>')]).
% 126.83/127.22 cnf('0.5622.2.0',plain,
% 126.83/127.22 ( ld(ld(X1,ld(X2,unit)),unit) = ld(ld(X1,unit),X2) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5622.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_4573]).
% 126.83/127.22 cnf('0.5638.0.0',plain,
% 126.83/127.22 ( mult(X1,ld(ld(X2,ld(mult(X1,X2),unit)),unit)) = f(mult(X1,X2),mult(X1,X2)) ),
% 126.83/127.22 inference(interreduction_right,[status(thm)],['0.1962.2.0'])).
% 126.83/127.22 cnf('0.5638.0.1',plain,
% 126.83/127.22 ( mult(X1,ld(ld(X2,unit),mult(X1,X2))) = f(mult(X1,X2),mult(X1,X2)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5638.0.0','0.5622.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.5638.1.0',plain,
% 126.83/127.22 ( mult(X1,ld(ld(X2,unit),mult(X1,X2))) = f(mult(X1,X2),mult(X1,X2)) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5638.0.1']),
% 126.83/127.22 [weight('<169,1962,5622,[0,0,0,0]>')]).
% 126.83/127.22 cnf('0.5638.2.0',plain,
% 126.83/127.22 ( mult(X1,ld(ld(X2,unit),mult(X1,X2))) = f(mult(X1,X2),mult(X1,X2)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5638.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_4589]).
% 126.83/127.22 cnf('0.5664.0.0',plain,
% 126.83/127.22 ( ld(mult(ld(X1,unit),X2),ld(X3,unit)) = ld(ld(mult(X1,ld(X2,unit)),X3),unit) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.5619.2.0','0.5616.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1.1','L')]).
% 126.83/127.22 cnf('0.5664.1.0',plain,
% 126.83/127.22 ( ld(mult(ld(X1,unit),X2),ld(X3,unit)) = ld(ld(mult(X1,ld(X2,unit)),X3),unit) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5664.0.0']),
% 126.83/127.22 [weight('<189,5619,5616,[1,0,0,2]>')]).
% 126.83/127.22 cnf('0.5664.2.0',plain,
% 126.83/127.22 ( ld(ld(mult(X1,ld(X2,unit)),X3),unit) = ld(mult(ld(X1,unit),X2),ld(X3,unit)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5664.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_4615]).
% 126.83/127.22 cnf('0.5667.0.0',plain,
% 126.83/127.22 ( ld(ld(ld(X1,unit),X2),ld(X3,unit)) = ld(ld(ld(X1,ld(X2,unit)),X3),unit) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.5619.2.0','0.5619.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1.1','L')]).
% 126.83/127.22 cnf('0.5667.1.0',plain,
% 126.83/127.22 ( ld(ld(ld(X1,unit),X2),ld(X3,unit)) = ld(ld(ld(X1,ld(X2,unit)),X3),unit) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5667.0.0']),
% 126.83/127.22 [weight('<189,5619,5619,[0,0,0,2]>')]).
% 126.83/127.22 cnf('0.5667.2.0',plain,
% 126.83/127.22 ( ld(ld(ld(X1,ld(X2,unit)),X3),unit) = ld(ld(ld(X1,unit),X2),ld(X3,unit)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5667.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_4618]).
% 126.83/127.22 cnf('0.5674.0.0',plain,
% 126.83/127.22 ( ld(ld(X1,unit),ld(mult(X1,X2),X1)) = ld(ld(f(X1,X1),f(X1,X2)),unit) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.5622.2.0','0.2337.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1','L')]).
% 126.83/127.22 cnf('0.5674.1.0',plain,
% 126.83/127.22 ( ld(ld(X1,unit),ld(mult(X1,X2),X1)) = ld(ld(f(X1,X1),f(X1,X2)),unit) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5674.0.0']),
% 126.83/127.22 [weight('<189,5622,2337,[1,0,0,1]>')]).
% 126.83/127.22 cnf('0.5674.2.0',plain,
% 126.83/127.22 ( ld(ld(f(X1,X1),f(X1,X2)),unit) = ld(ld(X1,unit),ld(mult(X1,X2),X1)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5674.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_4625]).
% 126.83/127.22 cnf('0.5729.0.0',plain,
% 126.83/127.22 ( ld(ld(X1,X2),ld(ld(X2,ld(X1,X2)),unit)) = ld(ld(X1,ld(ld(X2,X1),unit)),unit) ),
% 126.83/127.22 inference(interreduction_right,[status(thm)],['0.5607.2.0'])).
% 126.83/127.22 cnf('0.5729.0.1',plain,
% 126.83/127.22 ( ld(ld(X1,X2),ld(ld(X2,ld(X1,X2)),unit)) = ld(ld(X1,unit),ld(X2,X1)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5729.0.0','0.5622.2.0',theory(equality)]),
% 126.83/127.22 [pos('R','L')]).
% 126.83/127.22 cnf('0.5729.1.0',plain,
% 126.83/127.22 ( ld(ld(X1,X2),ld(ld(X2,ld(X1,X2)),unit)) = ld(ld(X1,unit),ld(X2,X1)) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5729.0.1']),
% 126.83/127.22 [weight('<227,5607,5622,[0,0,0,0]>')]).
% 126.83/127.22 cnf('0.5729.2.0',plain,
% 126.83/127.22 ( ld(ld(X1,X2),ld(ld(X2,ld(X1,X2)),unit)) = ld(ld(X1,unit),ld(X2,X1)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5729.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_4680]).
% 126.83/127.22 cnf('0.5744.0.0',plain,
% 126.83/127.22 ( ld(ld(X1,ld(X2,X1)),unit) = mult(ld(X2,X1),ld(ld(X2,unit),ld(X1,X2))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.1.2.0','0.5729.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.5744.1.0',plain,
% 126.83/127.22 ( ld(ld(X1,ld(X2,X1)),unit) = mult(ld(X2,X1),ld(ld(X2,unit),ld(X1,X2))) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5744.0.0']),
% 126.83/127.22 [weight('<227,5729,1,[0,0,0,2]>')]).
% 126.83/127.22 cnf('0.5744.2.0',plain,
% 126.83/127.22 ( mult(ld(X1,X2),ld(ld(X1,unit),ld(X2,X1))) = ld(ld(X2,ld(X1,X2)),unit) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5744.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_4695]).
% 126.83/127.22 cnf('0.5752.0.0',plain,
% 126.83/127.22 ( ld(ld(mult(X1,X2),ld(X1,mult(X1,X2))),unit) = mult(X2,ld(ld(X1,unit),ld(mult(X1,X2),X1))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.5744.2.0','0.4.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1','L')]).
% 126.83/127.22 cnf('0.5752.0.1',plain,
% 126.83/127.22 ( ld(ld(mult(X1,X2),X2),unit) = mult(X2,ld(ld(X1,unit),ld(mult(X1,X2),X1))) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5752.0.0','0.4.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1.2','L')]).
% 126.83/127.22 cnf('0.5752.1.0',plain,
% 126.83/127.22 ( ld(ld(mult(X1,X2),X2),unit) = mult(X2,ld(ld(X1,unit),ld(mult(X1,X2),X1))) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5752.0.1']),
% 126.83/127.22 [weight('<227,5744,4,[1,0,0,1]>')]).
% 126.83/127.22 cnf('0.5752.2.0',plain,
% 126.83/127.22 ( mult(X1,ld(ld(X2,unit),ld(mult(X2,X1),X2))) = ld(ld(mult(X2,X1),X1),unit) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5752.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_4703]).
% 126.83/127.22 cnf('0.5842.0.0',plain,
% 126.83/127.22 ( mult(X1,ld(ld(ld(X2,unit),ld(mult(X2,ld(X1,unit)),X2)),unit)) = ld(ld(ld(mult(X2,ld(X1,unit)),ld(X1,unit)),unit),unit) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.5616.2.0','0.5752.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1','L')]).
% 126.83/127.22 cnf('0.5842.0.1',plain,
% 126.83/127.22 ( mult(X1,ld(X2,ld(ld(mult(X2,ld(X1,unit)),X2),unit))) = ld(ld(ld(mult(X2,ld(X1,unit)),ld(X1,unit)),unit),unit) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5842.0.0','0.5619.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.5842.0.2',plain,
% 126.83/127.22 ( mult(X1,ld(f(X2,X2),f(X2,ld(X1,unit)))) = ld(ld(ld(mult(X2,ld(X1,unit)),ld(X1,unit)),unit),unit) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5842.0.1','0.2337.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.5842.0.3',plain,
% 126.83/127.22 ( mult(X1,ld(f(X2,X2),f(X2,ld(X1,unit)))) = ld(ld(ld(mult(X2,ld(X1,unit)),unit),X1),ld(unit,unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5842.0.2','0.5667.2.0',theory(equality)]),
% 126.83/127.22 [pos('R','L')]).
% 126.83/127.22 cnf('0.5842.0.4',plain,
% 126.83/127.22 ( mult(X1,ld(f(X2,X2),f(X2,ld(X1,unit)))) = ld(ld(mult(X1,ld(X2,unit)),X1),ld(unit,unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5842.0.3','0.5617.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.1.1','L')]).
% 126.83/127.22 cnf('0.5842.0.5',plain,
% 126.83/127.22 ( mult(X1,ld(f(X2,X2),f(X2,ld(X1,unit)))) = ld(ld(mult(X1,ld(X2,unit)),X1),unit) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5842.0.4','0.9.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.2','L')]).
% 126.83/127.22 cnf('0.5842.0.6',plain,
% 126.83/127.22 ( mult(X1,ld(f(X2,X2),f(X2,ld(X1,unit)))) = ld(mult(ld(X1,unit),X2),ld(X1,unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.5842.0.5','0.5664.2.0',theory(equality)]),
% 126.83/127.22 [pos('R','L')]).
% 126.83/127.22 cnf('0.5842.1.0',plain,
% 126.83/127.22 ( mult(X1,ld(f(X2,X2),f(X2,ld(X1,unit)))) = ld(mult(ld(X1,unit),X2),ld(X1,unit)) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.5842.0.6']),
% 126.83/127.22 [weight('<251,5752,5616,[0,0,0,1]>')]).
% 126.83/127.22 cnf('0.5842.2.0',plain,
% 126.83/127.22 ( mult(X1,ld(f(X2,X2),f(X2,ld(X1,unit)))) = ld(mult(ld(X1,unit),X2),ld(X1,unit)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.5842.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_4789]).
% 126.83/127.22 cnf('0.6018.0.0',plain,
% 126.83/127.22 ( f(X1,ld(X1,ld(mult(ld(X2,unit),X3),X1))) = ld(X1,mult(mult(X2,ld(X3,unit)),f(X1,X1))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.2329.2.0','0.5616.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.1','L')]).
% 126.83/127.22 cnf('0.6018.1.0',plain,
% 126.83/127.22 ( f(X1,ld(X1,ld(mult(ld(X2,unit),X3),X1))) = ld(X1,mult(mult(X2,ld(X3,unit)),f(X1,X1))) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.6018.0.0']),
% 126.83/127.22 [weight('<275,5616,2329,[0,0,0,3]>')]).
% 126.83/127.22 cnf('0.6018.2.0',plain,
% 126.83/127.22 ( ld(X1,mult(mult(X2,ld(X3,unit)),f(X1,X1))) = f(X1,ld(X1,ld(mult(ld(X2,unit),X3),X1))) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.6018.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_4965]).
% 126.83/127.22 cnf('0.6019.0.0',plain,
% 126.83/127.22 ( f(X1,ld(X1,ld(mult(ld(X1,unit),X2),X1))) = ld(X1,mult(X1,mult(f(X1,X1),ld(X2,unit)))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.6018.2.0','0.82.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.6019.0.1',plain,
% 126.83/127.22 ( f(X1,ld(X1,ld(mult(ld(X1,unit),X2),X1))) = mult(f(X1,X1),ld(X2,unit)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.6019.0.0','0.4.2.0',theory(equality)]),
% 126.83/127.22 [pos('R','L')]).
% 126.83/127.22 cnf('0.6019.1.0',plain,
% 126.83/127.22 ( f(X1,ld(X1,ld(mult(ld(X1,unit),X2),X1))) = mult(f(X1,X1),ld(X2,unit)) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.6019.0.1']),
% 126.83/127.22 [weight('<227,6018,82,[1,0,0,2]>')]).
% 126.83/127.22 cnf('0.6019.2.0',plain,
% 126.83/127.22 ( f(X1,ld(X1,ld(mult(ld(X1,unit),X2),X1))) = mult(f(X1,X1),ld(X2,unit)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.6019.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_4966]).
% 126.83/127.22 cnf('0.6021.0.0',plain,
% 126.83/127.22 ( mult(f(X1,X1),ld(ld(f(X2,X2),f(X2,ld(ld(X1,unit),unit))),unit)) = f(X1,ld(X1,ld(ld(mult(ld(ld(X1,unit),unit),X2),ld(ld(X1,unit),unit)),X1))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.6019.2.0','0.5842.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.2.1','L')]).
% 126.83/127.22 cnf('0.6021.0.1',plain,
% 126.83/127.22 ( mult(f(X1,X1),ld(ld(X2,unit),ld(mult(X2,ld(ld(X1,unit),unit)),X2))) = f(X1,ld(X1,ld(ld(mult(ld(ld(X1,unit),unit),X2),ld(ld(X1,unit),unit)),X1))) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.6021.0.0','0.5674.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.6021.0.2',plain,
% 126.83/127.22 ( mult(f(X1,X1),ld(ld(X2,unit),ld(mult(X2,X1),X2))) = f(X1,ld(X1,ld(ld(mult(ld(ld(X1,unit),unit),X2),ld(ld(X1,unit),unit)),X1))) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.6021.0.1','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.2.1.2','L')]).
% 126.83/127.22 cnf('0.6021.0.3',plain,
% 126.83/127.22 ( mult(f(X1,X1),ld(ld(X2,unit),ld(mult(X2,X1),X2))) = f(X1,ld(X1,ld(ld(mult(X1,X2),ld(ld(X1,unit),unit)),X1))) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.6021.0.2','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.2.2.1.1.1','L')]).
% 126.83/127.22 cnf('0.6021.0.4',plain,
% 126.83/127.22 ( mult(f(X1,X1),ld(ld(X2,unit),ld(mult(X2,X1),X2))) = f(X1,ld(X1,ld(ld(mult(X1,X2),X1),X1))) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.6021.0.3','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.2.2.1.2','L')]).
% 126.83/127.22 cnf('0.6021.0.5',plain,
% 126.83/127.22 ( mult(f(X1,X1),ld(ld(X2,unit),ld(mult(X2,X1),X2))) = f(X1,ld(X1,mult(X1,X2))) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.6021.0.4','0.12.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.2.2','L')]).
% 126.83/127.22 cnf('0.6021.0.6',plain,
% 126.83/127.22 ( mult(f(X1,X1),ld(ld(X2,unit),ld(mult(X2,X1),X2))) = f(X1,X2) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.6021.0.5','0.4.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.2','L')]).
% 126.83/127.22 cnf('0.6021.1.0',plain,
% 126.83/127.22 ( mult(f(X1,X1),ld(ld(X2,unit),ld(mult(X2,X1),X2))) = f(X1,X2) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.6021.0.6']),
% 126.83/127.22 [weight('<237,6019,5842,[1,0,0,5]>')]).
% 126.83/127.22 cnf('0.6021.2.0',plain,
% 126.83/127.22 ( mult(f(X1,X1),ld(ld(X2,unit),ld(mult(X2,X1),X2))) = f(X1,X2) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.6021.1.0',theory(equality)]),
% 126.83/127.22 [u,rule_4968]).
% 126.83/127.22 cnf('0.6022.0.0',plain,
% 126.83/127.22 ( f(mult(f(X1,X1),ld(ld(X2,unit),ld(mult(X2,X1),X2))),mult(f(X1,X1),ld(ld(X2,unit),ld(mult(X2,X1),X2)))) = mult(f(X1,X1),ld(ld(ld(ld(X2,unit),ld(mult(X2,X1),X2)),unit),f(X1,X2))) ),
% 126.83/127.22 inference(cp,[status(thm)],['0.5638.2.0','0.6021.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2.2','L')]).
% 126.83/127.22 cnf('0.6022.0.1',plain,
% 126.83/127.22 ( f(f(X1,X2),mult(f(X1,X1),ld(ld(X2,unit),ld(mult(X2,X1),X2)))) = mult(f(X1,X1),ld(ld(ld(ld(X2,unit),ld(mult(X2,X1),X2)),unit),f(X1,X2))) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.6022.0.0','0.6021.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1','L')]).
% 126.83/127.22 cnf('0.6022.0.2',plain,
% 126.83/127.22 ( f(f(X1,X2),f(X1,X2)) = mult(f(X1,X1),ld(ld(ld(ld(X2,unit),ld(mult(X2,X1),X2)),unit),f(X1,X2))) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.6022.0.1','0.6021.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('0.6022.0.3',plain,
% 126.83/127.22 ( f(f(X1,X2),f(X1,X2)) = mult(f(X1,X1),ld(ld(X2,ld(ld(mult(X2,X1),X2),unit)),f(X1,X2))) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.6022.0.2','0.5619.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.2.1','L')]).
% 126.83/127.22 cnf('0.6022.0.4',plain,
% 126.83/127.22 ( f(f(X1,X2),f(X1,X2)) = mult(f(X1,X1),ld(ld(f(X2,X2),f(X2,X1)),f(X1,X2))) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.6022.0.3','0.2337.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.2.1','L')]).
% 126.83/127.22 cnf('0.6022.0.5',plain,
% 126.83/127.22 ( f(f(X1,X2),f(X1,X2)) = mult(f(X1,X1),f(X2,X2)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['0.6022.0.4','0.748.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.2','L')]).
% 126.83/127.22 cnf('0.6022.1.0',plain,
% 126.83/127.22 ( f(f(X1,X2),f(X1,X2)) = mult(f(X1,X1),f(X2,X2)) ),
% 126.83/127.22 inference(weigh,[status(thm)],['0.6022.0.5']),
% 126.83/127.22 [weight('<119,6021,5638,[0,0,0,6]>')]).
% 126.83/127.22 cnf('0.6022.2.0',plain,
% 126.83/127.22 ( mult(f(X1,X1),f(X2,X2)) = f(f(X1,X2),f(X1,X2)) ),
% 126.83/127.22 inference(orient,[status(thm)],['0.6022.1.0',theory(equality)]),
% 126.83/127.22 [x,rule_4969]).
% 126.83/127.22 cnf('1.0.0.0',conjecture,
% 126.83/127.22 ( mult(mult(a,a),mult(b,b)) = mult(f(a,b),f(a,b)) ),
% 126.83/127.22 file('/tmp/WALDMEISTER_8048_n021',conjecture_1)).
% 126.83/127.22 cnf('1.0.0.1',plain,
% 126.83/127.22 ( mult(mult(b,b),mult(a,a)) = mult(f(a,b),f(a,b)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['1.0.0.0','0.5.2.0',theory(equality)]),
% 126.83/127.22 [pos('L','L')]).
% 126.83/127.22 cnf('1.0.0.2',plain,
% 126.83/127.22 ( mult(mult(b,b),mult(a,a)) = mult(f(b,a),f(a,b)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['1.0.0.1','0.21.2.0',theory(equality)]),
% 126.83/127.22 [pos('R.1','L')]).
% 126.83/127.22 cnf('1.0.0.3',plain,
% 126.83/127.22 ( mult(mult(b,b),f(a,a)) = mult(f(b,a),f(a,b)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['1.0.0.2','0.64.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.2','L')]).
% 126.83/127.22 cnf('1.0.0.4',plain,
% 126.83/127.22 ( mult(mult(b,b),f(a,a)) = f(f(b,a),f(b,a)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['1.0.0.3','0.320.2.0',theory(equality)]),
% 126.83/127.22 [pos('R','L')]).
% 126.83/127.22 cnf('1.0.0.5',plain,
% 126.83/127.22 ( mult(f(b,b),f(a,a)) = f(f(b,a),f(b,a)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['1.0.0.4','0.64.2.0',theory(equality)]),
% 126.83/127.22 [pos('L.1','L')]).
% 126.83/127.22 cnf('1.0.0.6',plain,
% 126.83/127.22 ( f(f(b,a),f(b,a)) = f(f(b,a),f(b,a)) ),
% 126.83/127.22 inference(reduction,[status(thm)],['1.0.0.5','0.6022.2.0',theory(equality)]),
% 126.83/127.22 [pos('L','L')]).
% 126.83/127.22 cnf('1.0.0.7',plain,
% 126.83/127.22 ( $true ),
% 126.83/127.22 inference(trivial,[status(thm)],['1.0.0.6',theory(equality)]),
% 126.83/127.22 [conjecture_1]).
% 126.83/127.22
% 126.83/127.22 Proved Goals:
% 126.83/127.22 No. 1: mult(mult(a,a),mult(b,b)) ?= mult(f(a,b),f(a,b)) joined, current: f(f(b,a),f(b,a)) = f(f(b,a),f(b,a))
% 126.83/127.22 1 goal was specified, which was proved.
% 126.83/127.22 % SZS output end CNFRefutation
% 126.83/127.22 #END OF PROOF
% 126.83/127.22
% 126.83/127.22 Problem WALDMEISTER_8048_n021
% 126.83/127.22 CPs.gen 24741907
% 126.83/127.22 CPs.reexp 0
% 126.83/127.22 Select 678335
% 126.83/127.22 R 4969
% 126.83/127.22 E 1053
% 126.83/127.22 vsize 13.6M
% 126.83/127.22 rss 9.0M
% 126.83/127.22 process.time 126.237s
% 126.83/127.22 wallclock.time 126.246s
% 126.83/127.22 status S
% 126.83/127.22
% 126.83/127.22
% 126.83/127.22 Waldmeister states: Goal proved.
% 126.83/127.22 % SZS status Unsatisfiable
%------------------------------------------------------------------------------