TSTP Solution File: GRP720-2 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP720-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n014.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 82.04s 82.45s
% Output : CNFRefutation 82.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP720-2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 16:47:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.58/0.95 ********************************************************************************
% 0.58/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.95 * |/ | \/ | *
% 0.58/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.95 * A. Jaeger and B. Loechner | | *
% 0.58/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.95 ********************************************************************************
% 0.58/0.95
% 0.58/0.95
% 0.58/0.95 Goals:
% 0.58/0.95 ------
% 0.58/0.95
% 0.58/0.95 ( 1) true ?= false
% 0.58/0.95 using narrowing to prove mult(x1,x1) ?= mult(mult(op_a,op_a),mult(op_b,op_b))
% 0.58/0.95
% 0.58/0.95 Detected structure: Praeloop
% 0.58/0.95 ********************************************************************************
% 0.58/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.95 ********************************************************************************
% 0.58/0.95
% 82.04/82.45 joined goal: 1 mult(x1,x1) ?= mult(mult(op_a,op_a),mult(op_b,op_b)) to false
% 82.04/82.45 goal joined
% 82.04/82.45 % SZS status Unsatisfiable
% 82.04/82.45 #START OF PROOF
% 82.04/82.45 % SZS output start CNFRefutation
% 82.04/82.45 cnf('0.1.0.0',axiom,
% 82.04/82.45 ( X1 = mult(X2,ld(X2,X1)) ),
% 82.04/82.45 file('/tmp/WALDMEISTER_7272_n014')).
% 82.04/82.45 cnf('0.1.1.0',plain,
% 82.04/82.45 ( X1 = mult(X2,ld(X2,X1)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1.0.0']),
% 82.04/82.45 [weight('<0,0,0,[0,0,0,1]>')]).
% 82.04/82.45 cnf('0.1.2.0',plain,
% 82.04/82.45 ( mult(X1,ld(X1,X2)) = X2 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1]).
% 82.04/82.45 cnf('0.2.0.0',axiom,
% 82.04/82.45 ( X1 = mult(X1,unit) ),
% 82.04/82.45 file('/tmp/WALDMEISTER_7272_n014')).
% 82.04/82.45 cnf('0.2.1.0',plain,
% 82.04/82.45 ( X1 = mult(X1,unit) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.2.0.0']),
% 82.04/82.45 [weight('<1,0,0,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.2.2.0',plain,
% 82.04/82.45 ( mult(X1,unit) = X1 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_2]).
% 82.04/82.45 cnf('0.3.0.0',axiom,
% 82.04/82.45 ( X1 = mult(unit,X1) ),
% 82.04/82.45 file('/tmp/WALDMEISTER_7272_n014')).
% 82.04/82.45 cnf('0.3.1.0',plain,
% 82.04/82.45 ( X1 = mult(unit,X1) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.3.0.0']),
% 82.04/82.45 [weight('<2,0,0,[0,0,0,3]>')]).
% 82.04/82.45 cnf('0.3.2.0',plain,
% 82.04/82.45 ( mult(unit,X1) = X1 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_3]).
% 82.04/82.45 cnf('0.4.0.0',axiom,
% 82.04/82.45 ( X1 = ld(X2,mult(X2,X1)) ),
% 82.04/82.45 file('/tmp/WALDMEISTER_7272_n014')).
% 82.04/82.45 cnf('0.4.1.0',plain,
% 82.04/82.45 ( X1 = ld(X2,mult(X2,X1)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.4.0.0']),
% 82.04/82.45 [weight('<3,0,0,[0,0,0,4]>')]).
% 82.04/82.45 cnf('0.4.2.0',plain,
% 82.04/82.45 ( ld(X1,mult(X1,X2)) = X2 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_4]).
% 82.04/82.45 cnf('0.5.0.0',axiom,
% 82.04/82.45 ( mult(X1,X2) = mult(X2,X1) ),
% 82.04/82.45 file('/tmp/WALDMEISTER_7272_n014')).
% 82.04/82.45 cnf('0.5.1.0',plain,
% 82.04/82.45 ( mult(X1,X2) = mult(X2,X1) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.5.0.0']),
% 82.04/82.45 [weight('<4,0,0,[0,0,0,5]>')]).
% 82.04/82.45 cnf('0.5.2.0',plain,
% 82.04/82.45 ( mult(X1,X2) = mult(X2,X1) ),
% 82.04/82.45 inference(activate,[status(thm)],['0.5.1.0']),
% 82.04/82.45 [equation_1]).
% 82.04/82.45 cnf('0.7.0.0',axiom,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 file('/tmp/WALDMEISTER_7272_n014')).
% 82.04/82.45 cnf('0.7.1.0',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.7.0.0']),
% 82.04/82.45 [weight('<6,0,0,[0,0,0,7]>')]).
% 82.04/82.45 cnf('0.7.2.0',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_6]).
% 82.04/82.45 cnf('0.8.0.0',axiom,
% 82.04/82.45 ( eq(X1,X1) = true ),
% 82.04/82.45 file('/tmp/WALDMEISTER_7272_n014')).
% 82.04/82.45 cnf('0.8.1.0',plain,
% 82.04/82.45 ( eq(X1,X1) = true ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.8.0.0']),
% 82.04/82.45 [weight('<7,0,0,[0,0,0,8]>')]).
% 82.04/82.45 cnf('0.8.2.0',plain,
% 82.04/82.45 ( eq(X1,X1) = true ),
% 82.04/82.45 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_7]).
% 82.04/82.45 cnf('0.9.0.0',axiom,
% 82.04/82.45 ( eq(mult(X1,X1),mult(mult(op_a,op_a),mult(op_b,op_b))) = false ),
% 82.04/82.45 file('/tmp/WALDMEISTER_7272_n014')).
% 82.04/82.45 cnf('0.9.1.0',plain,
% 82.04/82.45 ( eq(mult(X1,X1),mult(mult(op_a,op_a),mult(op_b,op_b))) = false ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.9.0.0']),
% 82.04/82.45 [weight('<8,0,0,[0,0,0,9]>')]).
% 82.04/82.45 cnf('0.9.1.1',plain,
% 82.04/82.45 ( eq(mult(X1,X1),mult(mult(op_b,op_b),mult(op_a,op_a))) = false ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.9.1.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.9.2.0',plain,
% 82.04/82.45 ( eq(mult(X1,X1),mult(mult(op_b,op_b),mult(op_a,op_a))) = false ),
% 82.04/82.45 inference(orient,[status(thm)],['0.9.1.1',theory(equality)]),
% 82.04/82.45 [u,rule_8]).
% 82.04/82.45 cnf('0.10.0.0',plain,
% 82.04/82.45 ( ld(unit,X1) = X1 ),
% 82.04/82.45 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L','L')]).
% 82.04/82.45 cnf('0.10.1.0',plain,
% 82.04/82.45 ( ld(unit,X1) = X1 ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.10.0.0']),
% 82.04/82.45 [weight('<19,3,1,[1,0,0,0]>')]).
% 82.04/82.45 cnf('0.10.2.0',plain,
% 82.04/82.45 ( ld(unit,X1) = X1 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_9]).
% 82.04/82.45 cnf('0.12.0.0',plain,
% 82.04/82.45 ( unit = ld(X1,X1) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.12.1.0',plain,
% 82.04/82.45 ( unit = ld(X1,X1) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.12.0.0']),
% 82.04/82.45 [weight('<19,4,2,[1,0,0,2]>')]).
% 82.04/82.45 cnf('0.12.2.0',plain,
% 82.04/82.45 ( ld(X1,X1) = unit ),
% 82.04/82.45 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_11]).
% 82.04/82.45 cnf('0.14.0.0',plain,
% 82.04/82.45 ( X1 = ld(X2,mult(X1,X2)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.14.1.0',plain,
% 82.04/82.45 ( X1 = ld(X2,mult(X1,X2)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.14.0.0']),
% 82.04/82.45 [weight('<41,5,4,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.14.2.0',plain,
% 82.04/82.45 ( ld(X1,mult(X2,X1)) = X2 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_13]).
% 82.04/82.45 cnf('0.15.0.0',plain,
% 82.04/82.45 ( false = eq(ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,X3)))),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.9.2.0','0.7.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.15.1.0',plain,
% 82.04/82.45 ( false = eq(ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,X3)))),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.15.0.0']),
% 82.04/82.45 [weight('<90,9,7,[1,0,0,1]>')]).
% 82.04/82.45 cnf('0.15.2.0',plain,
% 82.04/82.45 ( eq(ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,X3)))),mult(mult(op_b,op_b),mult(op_a,op_a))) = false ),
% 82.04/82.45 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_14]).
% 82.04/82.45 cnf('0.16.0.0',plain,
% 82.04/82.45 ( X1 = ld(ld(X1,X2),X2) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.14.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.16.1.0',plain,
% 82.04/82.45 ( X1 = ld(ld(X1,X2),X2) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.16.0.0']),
% 82.04/82.45 [weight('<41,14,1,[1,0,0,2]>')]).
% 82.04/82.45 cnf('0.16.2.0',plain,
% 82.04/82.45 ( ld(ld(X1,X2),X2) = X1 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_15]).
% 82.04/82.45 cnf('0.18.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),mult(X1,mult(X1,mult(X1,X2)))) = mult(X1,ld(mult(X1,X1),mult(X1,mult(X1,X2)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.7.2.0','0.14.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.18.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),mult(X1,mult(X1,mult(X1,X2)))) = mult(X1,ld(mult(X1,X1),mult(X1,mult(X1,X2)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.18.0.0']),
% 82.04/82.45 [weight('<275,14,7,[0,0,0,1]>')]).
% 82.04/82.45 cnf('0.18.2.0',plain,
% 82.04/82.45 ( mult(X1,ld(mult(X1,X1),mult(X1,mult(X1,X2)))) = ld(mult(X1,X1),mult(X1,mult(X1,mult(X1,X2)))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_17]).
% 82.04/82.45 cnf('0.24.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),mult(X1,mult(X1,mult(X1,ld(X1,X2))))) = mult(X1,ld(mult(X1,X1),mult(X1,X2))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.18.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.2','L')]).
% 82.04/82.45 cnf('0.24.0.1',plain,
% 82.04/82.45 ( ld(mult(X1,X1),mult(X1,mult(X1,X2))) = mult(X1,ld(mult(X1,X1),mult(X1,X2))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.24.0.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.2','L')]).
% 82.04/82.45 cnf('0.24.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),mult(X1,mult(X1,X2))) = mult(X1,ld(mult(X1,X1),mult(X1,X2))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.24.0.1']),
% 82.04/82.45 [weight('<189,18,1,[1,0,0,8]>')]).
% 82.04/82.45 cnf('0.24.2.0',plain,
% 82.04/82.45 ( mult(X1,ld(mult(X1,X1),mult(X1,X2))) = ld(mult(X1,X1),mult(X1,mult(X1,X2))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_23]).
% 82.04/82.45 cnf('0.26.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),mult(X1,mult(X1,unit))) = mult(X1,ld(mult(X1,X1),X1)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.24.2.0','0.2.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.26.0.1',plain,
% 82.04/82.45 ( ld(mult(X1,X1),mult(X1,X1)) = mult(X1,ld(mult(X1,X1),X1)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.26.0.0','0.2.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.26.0.2',plain,
% 82.04/82.45 ( unit = mult(X1,ld(mult(X1,X1),X1)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.26.0.1','0.12.2.0',theory(equality)]),
% 82.04/82.45 [pos('L','L')]).
% 82.04/82.45 cnf('0.26.1.0',plain,
% 82.04/82.45 ( unit = mult(X1,ld(mult(X1,X1),X1)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.26.0.2']),
% 82.04/82.45 [weight('<71,24,2,[1,0,0,6]>')]).
% 82.04/82.45 cnf('0.26.2.0',plain,
% 82.04/82.45 ( mult(X1,ld(mult(X1,X1),X1)) = unit ),
% 82.04/82.45 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_25]).
% 82.04/82.45 cnf('0.28.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),X1) = ld(X1,unit) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.26.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.28.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),X1) = ld(X1,unit) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.28.0.0']),
% 82.04/82.45 [weight('<53,26,4,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.28.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),X1) = ld(X1,unit) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_27]).
% 82.04/82.45 cnf('0.30.0.0',plain,
% 82.04/82.45 ( mult(X1,X1) = ld(ld(X1,unit),X1) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.16.2.0','0.28.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.30.1.0',plain,
% 82.04/82.45 ( mult(X1,X1) = ld(ld(X1,unit),X1) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.30.0.0']),
% 82.04/82.45 [weight('<53,28,16,[0,0,0,1]>')]).
% 82.04/82.45 cnf('0.30.2.0',plain,
% 82.04/82.45 ( ld(ld(X1,unit),X1) = mult(X1,X1) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_29]).
% 82.04/82.45 cnf('0.34.0.0',plain,
% 82.04/82.45 ( mult(ld(X1,unit),ld(X1,unit)) = ld(X1,ld(X1,unit)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.30.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.34.1.0',plain,
% 82.04/82.45 ( mult(ld(X1,unit),ld(X1,unit)) = ld(X1,ld(X1,unit)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.34.0.0']),
% 82.04/82.45 [weight('<103,30,16,[1,0,0,1]>')]).
% 82.04/82.45 cnf('0.34.2.0',plain,
% 82.04/82.45 ( mult(ld(X1,unit),ld(X1,unit)) = ld(X1,ld(X1,unit)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_33]).
% 82.04/82.45 cnf('0.36.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),mult(X1,mult(X1,ld(X1,X2)))) = mult(X1,ld(mult(X1,X1),X2)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.24.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.36.0.1',plain,
% 82.04/82.45 ( ld(mult(X1,X1),mult(X1,X2)) = mult(X1,ld(mult(X1,X1),X2)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.36.0.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.36.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),mult(X1,X2)) = mult(X1,ld(mult(X1,X1),X2)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.36.0.1']),
% 82.04/82.45 [weight('<119,24,1,[1,0,0,6]>')]).
% 82.04/82.45 cnf('0.36.2.0',plain,
% 82.04/82.45 ( mult(X1,ld(mult(X1,X1),X2)) = ld(mult(X1,X1),mult(X1,X2)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_35]).
% 82.04/82.45 cnf('0.40.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),X2) = ld(X1,ld(mult(X1,X1),mult(X1,X2))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.36.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.40.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),X2) = ld(X1,ld(mult(X1,X1),mult(X1,X2))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.40.0.0']),
% 82.04/82.45 [weight('<149,36,4,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.40.2.0',plain,
% 82.04/82.45 ( ld(X1,ld(mult(X1,X1),mult(X1,X2))) = ld(mult(X1,X1),X2) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_39]).
% 82.04/82.45 cnf('0.42.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),unit) = ld(X1,ld(mult(X1,X1),X1)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.40.2.0','0.2.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.42.0.1',plain,
% 82.04/82.45 ( ld(mult(X1,X1),unit) = ld(X1,ld(X1,unit)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.42.0.0','0.28.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2','L')]).
% 82.04/82.45 cnf('0.42.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),unit) = ld(X1,ld(X1,unit)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.42.0.1']),
% 82.04/82.45 [weight('<65,40,2,[1,0,0,6]>')]).
% 82.04/82.45 cnf('0.42.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),unit) = ld(X1,ld(X1,unit)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_41]).
% 82.04/82.45 cnf('0.54.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),mult(X1,mult(mult(X1,X1),X2))) = mult(X1,X2) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.36.2.0','0.4.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.54.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),mult(X1,mult(mult(X1,X1),X2))) = mult(X1,X2) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.54.0.0']),
% 82.04/82.45 [weight('<179,36,4,[1,0,0,2]>')]).
% 82.04/82.45 cnf('0.54.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,X1),mult(X1,mult(mult(X1,X1),X2))) = mult(X1,X2) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_53]).
% 82.04/82.45 cnf('0.56.0.0',plain,
% 82.04/82.45 ( mult(X1,mult(mult(X1,X1),X2)) = mult(mult(X1,X1),mult(X1,X2)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1.2.0','0.54.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.56.1.0',plain,
% 82.04/82.45 ( mult(X1,mult(mult(X1,X1),X2)) = mult(mult(X1,X1),mult(X1,X2)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.56.0.0']),
% 82.04/82.45 [weight('<119,54,1,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.56.2.0',plain,
% 82.04/82.45 ( mult(mult(X1,X1),mult(X1,X2)) = mult(X1,mult(mult(X1,X1),X2)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_55]).
% 82.04/82.45 cnf('0.64.0.0',plain,
% 82.04/82.45 ( mult(X1,mult(mult(X1,X1),ld(X1,X2))) = mult(mult(X1,X1),X2) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.56.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.64.1.0',plain,
% 82.04/82.45 ( mult(X1,mult(mult(X1,X1),ld(X1,X2))) = mult(mult(X1,X1),X2) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.64.0.0']),
% 82.04/82.45 [weight('<149,56,1,[1,0,0,4]>')]).
% 82.04/82.45 cnf('0.64.2.0',plain,
% 82.04/82.45 ( mult(X1,mult(mult(X1,X1),ld(X1,X2))) = mult(mult(X1,X1),X2) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_63]).
% 82.04/82.45 cnf('0.66.0.0',plain,
% 82.04/82.45 ( mult(mult(X1,X1),ld(X1,X2)) = ld(X1,mult(mult(X1,X1),X2)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.64.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.66.1.0',plain,
% 82.04/82.45 ( mult(mult(X1,X1),ld(X1,X2)) = ld(X1,mult(mult(X1,X1),X2)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.66.0.0']),
% 82.04/82.45 [weight('<119,64,4,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.66.2.0',plain,
% 82.04/82.45 ( mult(mult(X1,X1),ld(X1,X2)) = ld(X1,mult(mult(X1,X1),X2)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_65]).
% 82.04/82.45 cnf('0.68.0.0',plain,
% 82.04/82.45 ( ld(X1,mult(mult(X1,X1),X2)) = mult(ld(X1,X2),mult(X1,X1)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.66.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L','L')]).
% 82.04/82.45 cnf('0.68.1.0',plain,
% 82.04/82.45 ( ld(X1,mult(mult(X1,X1),X2)) = mult(ld(X1,X2),mult(X1,X1)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.68.0.0']),
% 82.04/82.45 [weight('<119,66,5,[1,0,0,0]>')]).
% 82.04/82.45 cnf('0.68.2.0',plain,
% 82.04/82.45 ( mult(ld(X1,X2),mult(X1,X1)) = ld(X1,mult(mult(X1,X1),X2)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_67]).
% 82.04/82.45 cnf('0.204.0.0',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.1','L')]).
% 82.04/82.45 cnf('0.204.0.1',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.204.0.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.204.0.2',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.204.0.1','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.1','L')]).
% 82.04/82.45 cnf('0.204.1.0',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.204.0.2']),
% 82.04/82.45 [weight('<?,7,1,[1,0,0,2]>')]).
% 82.04/82.45 cnf('0.204.2.0',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.204.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_203]).
% 82.04/82.45 cnf('0.206.0.0',plain,
% 82.04/82.45 ( ld(unit,mult(X1,mult(ld(X1,unit),mult(ld(X1,unit),X2)))) = mult(ld(unit,mult(X1,ld(X1,ld(X1,unit)))),ld(unit,mult(X1,mult(ld(X1,unit),X2)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.204.2.0','0.34.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.2.2','L')]).
% 82.04/82.45 cnf('0.206.0.1',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,unit),X2))) = mult(ld(unit,mult(X1,ld(X1,ld(X1,unit)))),ld(unit,mult(X1,mult(ld(X1,unit),X2)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.206.0.0','0.10.2.0',theory(equality)]),
% 82.04/82.45 [pos('L','L')]).
% 82.04/82.45 cnf('0.206.0.2',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,unit),X2))) = mult(mult(X1,ld(X1,ld(X1,unit))),ld(unit,mult(X1,mult(ld(X1,unit),X2)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.206.0.1','0.10.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.1','L')]).
% 82.04/82.45 cnf('0.206.0.3',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,unit),X2))) = mult(ld(X1,unit),ld(unit,mult(X1,mult(ld(X1,unit),X2)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.206.0.2','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.1','L')]).
% 82.04/82.45 cnf('0.206.0.4',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,unit),X2))) = mult(ld(X1,unit),mult(X1,mult(ld(X1,unit),X2))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.206.0.3','0.10.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2','L')]).
% 82.04/82.45 cnf('0.206.1.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,unit),X2))) = mult(ld(X1,unit),mult(X1,mult(ld(X1,unit),X2))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.206.0.4']),
% 82.04/82.45 [weight('<275,204,34,[1,0,0,5]>')]).
% 82.04/82.45 cnf('0.206.2.0',plain,
% 82.04/82.45 ( mult(ld(X1,unit),mult(X1,mult(ld(X1,unit),X2))) = mult(X1,mult(ld(X1,unit),mult(ld(X1,unit),X2))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.206.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_205]).
% 82.04/82.45 cnf('0.208.0.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,unit),ld(ld(X1,unit),X2)))) = mult(ld(X1,unit),mult(X1,X2)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.206.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.208.0.1',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),X2)) = mult(ld(X1,unit),mult(X1,X2)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.208.0.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.208.1.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),X2)) = mult(ld(X1,unit),mult(X1,X2)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.208.0.1']),
% 82.04/82.45 [weight('<119,206,1,[1,0,0,6]>')]).
% 82.04/82.45 cnf('0.208.2.0',plain,
% 82.04/82.45 ( mult(ld(X1,unit),mult(X1,X2)) = mult(X1,mult(ld(X1,unit),X2)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.208.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_207]).
% 82.04/82.45 cnf('0.210.0.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),X2)) = mult(ld(X1,unit),mult(X2,X1)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.208.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.210.1.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),X2)) = mult(ld(X1,unit),mult(X2,X1)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.210.0.0']),
% 82.04/82.45 [weight('<119,208,5,[1,0,0,4]>')]).
% 82.04/82.45 cnf('0.210.2.0',plain,
% 82.04/82.45 ( mult(ld(X1,unit),mult(X2,X1)) = mult(X1,mult(ld(X1,unit),X2)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.210.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_209]).
% 82.04/82.45 cnf('0.212.0.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),ld(X1,X2))) = mult(ld(X1,unit),X2) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.208.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.212.1.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),ld(X1,X2))) = mult(ld(X1,unit),X2) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.212.0.0']),
% 82.04/82.45 [weight('<149,208,1,[1,0,0,4]>')]).
% 82.04/82.45 cnf('0.212.2.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),ld(X1,X2))) = mult(ld(X1,unit),X2) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.212.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_211]).
% 82.04/82.45 cnf('0.214.0.0',plain,
% 82.04/82.45 ( mult(ld(X1,unit),ld(X1,X2)) = ld(X1,mult(ld(X1,unit),X2)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.212.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.214.1.0',plain,
% 82.04/82.45 ( mult(ld(X1,unit),ld(X1,X2)) = ld(X1,mult(ld(X1,unit),X2)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.214.0.0']),
% 82.04/82.45 [weight('<119,212,4,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.214.2.0',plain,
% 82.04/82.45 ( mult(ld(X1,unit),ld(X1,X2)) = ld(X1,mult(ld(X1,unit),X2)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.214.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_213]).
% 82.04/82.45 cnf('0.216.0.0',plain,
% 82.04/82.45 ( ld(X1,mult(ld(X1,unit),X2)) = mult(ld(X1,X2),ld(X1,unit)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.214.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L','L')]).
% 82.04/82.45 cnf('0.216.1.0',plain,
% 82.04/82.45 ( ld(X1,mult(ld(X1,unit),X2)) = mult(ld(X1,X2),ld(X1,unit)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.216.0.0']),
% 82.04/82.45 [weight('<119,214,5,[1,0,0,0]>')]).
% 82.04/82.45 cnf('0.216.2.0',plain,
% 82.04/82.45 ( mult(ld(X1,X2),ld(X1,unit)) = ld(X1,mult(ld(X1,unit),X2)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.216.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_215]).
% 82.04/82.45 cnf('0.218.0.0',plain,
% 82.04/82.45 ( ld(ld(X1,unit),mult(ld(ld(X1,unit),unit),X2)) = mult(X1,ld(ld(X1,unit),X2)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.214.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.218.0.1',plain,
% 82.04/82.45 ( ld(ld(X1,unit),mult(X1,X2)) = mult(X1,ld(ld(X1,unit),X2)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.218.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.1','L')]).
% 82.04/82.45 cnf('0.218.1.0',plain,
% 82.04/82.45 ( ld(ld(X1,unit),mult(X1,X2)) = mult(X1,ld(ld(X1,unit),X2)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.218.0.1']),
% 82.04/82.45 [weight('<119,214,16,[1,0,0,1]>')]).
% 82.04/82.45 cnf('0.218.2.0',plain,
% 82.04/82.45 ( mult(X1,ld(ld(X1,unit),X2)) = ld(ld(X1,unit),mult(X1,X2)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.218.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_217]).
% 82.04/82.45 cnf('0.220.0.0',plain,
% 82.04/82.45 ( ld(ld(X1,unit),X2) = ld(X1,ld(ld(X1,unit),mult(X1,X2))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.218.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.220.1.0',plain,
% 82.04/82.45 ( ld(ld(X1,unit),X2) = ld(X1,ld(ld(X1,unit),mult(X1,X2))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.220.0.0']),
% 82.04/82.45 [weight('<149,218,4,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.220.2.0',plain,
% 82.04/82.45 ( ld(X1,ld(ld(X1,unit),mult(X1,X2))) = ld(ld(X1,unit),X2) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.220.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_219]).
% 82.04/82.45 cnf('0.222.0.0',plain,
% 82.04/82.45 ( ld(ld(X1,unit),ld(X1,X2)) = ld(X1,ld(ld(X1,unit),X2)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.220.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.222.1.0',plain,
% 82.04/82.45 ( ld(ld(X1,unit),ld(X1,X2)) = ld(X1,ld(ld(X1,unit),X2)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.222.0.0']),
% 82.04/82.45 [weight('<119,220,1,[1,0,0,6]>')]).
% 82.04/82.45 cnf('0.222.2.0',plain,
% 82.04/82.45 ( ld(ld(X1,unit),ld(X1,X2)) = ld(X1,ld(ld(X1,unit),X2)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.222.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_221]).
% 82.04/82.45 cnf('0.224.0.0',plain,
% 82.04/82.45 ( ld(ld(X1,unit),X2) = ld(X1,ld(ld(X1,unit),mult(X2,X1))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.220.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.224.1.0',plain,
% 82.04/82.45 ( ld(ld(X1,unit),X2) = ld(X1,ld(ld(X1,unit),mult(X2,X1))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.224.0.0']),
% 82.04/82.45 [weight('<149,220,5,[1,0,0,6]>')]).
% 82.04/82.45 cnf('0.224.2.0',plain,
% 82.04/82.45 ( ld(X1,ld(ld(X1,unit),mult(X2,X1))) = ld(ld(X1,unit),X2) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.224.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_223]).
% 82.04/82.45 cnf('0.226.0.0',plain,
% 82.04/82.45 ( mult(X1,X2) = ld(ld(X1,unit),mult(X1,mult(ld(X1,unit),X2))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.208.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.226.1.0',plain,
% 82.04/82.45 ( mult(X1,X2) = ld(ld(X1,unit),mult(X1,mult(ld(X1,unit),X2))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.226.0.0']),
% 82.04/82.45 [weight('<179,208,4,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.226.2.0',plain,
% 82.04/82.45 ( ld(ld(X1,unit),mult(X1,mult(ld(X1,unit),X2))) = mult(X1,X2) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.226.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_225]).
% 82.04/82.45 cnf('0.246.0.0',plain,
% 82.04/82.45 ( X1 = ld(ld(ld(X1,unit),X2),ld(ld(X1,unit),mult(X2,X1))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.16.2.0','0.224.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.246.1.0',plain,
% 82.04/82.45 ( X1 = ld(ld(ld(X1,unit),X2),ld(ld(X1,unit),mult(X2,X1))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.246.0.0']),
% 82.04/82.45 [weight('<209,224,16,[0,0,0,1]>')]).
% 82.04/82.45 cnf('0.246.2.0',plain,
% 82.04/82.45 ( ld(ld(ld(X1,unit),X2),ld(ld(X1,unit),mult(X2,X1))) = X1 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.246.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_245]).
% 82.04/82.45 cnf('0.250.0.0',plain,
% 82.04/82.45 ( mult(ld(X1,X2),mult(ld(ld(X1,X2),unit),X1)) = mult(ld(ld(X1,X2),unit),X2) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.210.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.250.1.0',plain,
% 82.04/82.45 ( mult(ld(X1,X2),mult(ld(ld(X1,X2),unit),X1)) = mult(ld(ld(X1,X2),unit),X2) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.250.0.0']),
% 82.04/82.45 [weight('<227,210,1,[1,0,0,4]>')]).
% 82.04/82.45 cnf('0.250.1.1',plain,
% 82.04/82.45 ( mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),unit))) = mult(ld(ld(X1,X2),unit),X2) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.250.1.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.250.1.2',plain,
% 82.04/82.45 ( mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),unit))) = mult(X2,ld(ld(X1,X2),unit)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.250.1.1','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('R','L')]).
% 82.04/82.45 cnf('0.250.2.0',plain,
% 82.04/82.45 ( mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),unit))) = mult(X2,ld(ld(X1,X2),unit)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.250.1.2',theory(equality)]),
% 82.04/82.45 [u,rule_249]).
% 82.04/82.45 cnf('0.254.0.0',plain,
% 82.04/82.45 ( ld(ld(X1,X2),ld(ld(ld(X1,X2),unit),X2)) = ld(ld(ld(X1,X2),unit),X1) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.222.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.254.1.0',plain,
% 82.04/82.45 ( ld(ld(X1,X2),ld(ld(ld(X1,X2),unit),X2)) = ld(ld(ld(X1,X2),unit),X1) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.254.0.0']),
% 82.04/82.45 [weight('<227,222,16,[1,0,0,4]>')]).
% 82.04/82.45 cnf('0.254.2.0',plain,
% 82.04/82.45 ( ld(ld(X1,X2),ld(ld(ld(X1,X2),unit),X2)) = ld(ld(ld(X1,X2),unit),X1) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.254.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_253]).
% 82.04/82.45 cnf('0.296.0.0',plain,
% 82.04/82.45 ( ld(X1,X2) = ld(ld(ld(ld(X1,X2),unit),X1),ld(ld(ld(X1,X2),unit),X2)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.246.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.296.1.0',plain,
% 82.04/82.45 ( ld(X1,X2) = ld(ld(ld(ld(X1,X2),unit),X1),ld(ld(ld(X1,X2),unit),X2)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.296.0.0']),
% 82.04/82.45 [weight('<303,246,1,[1,0,0,10]>')]).
% 82.04/82.45 cnf('0.296.2.0',plain,
% 82.04/82.45 ( ld(ld(ld(ld(X1,X2),unit),X1),ld(ld(ld(X1,X2),unit),X2)) = ld(X1,X2) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.296.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_295]).
% 82.04/82.45 cnf('0.298.0.0',plain,
% 82.04/82.45 ( ld(X1,X2) = ld(mult(X1,ld(ld(X1,X2),unit)),mult(X2,ld(ld(X1,X2),unit))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.14.2.0','0.250.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.298.1.0',plain,
% 82.04/82.45 ( ld(X1,X2) = ld(mult(X1,ld(ld(X1,X2),unit)),mult(X2,ld(ld(X1,X2),unit))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.298.0.0']),
% 82.04/82.45 [weight('<303,250,14,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.298.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,ld(ld(X1,X2),unit)),mult(X2,ld(ld(X1,X2),unit))) = ld(X1,X2) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.298.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_297]).
% 82.04/82.45 cnf('0.300.0.0',plain,
% 82.04/82.45 ( ld(ld(X1,X2),X2) = ld(mult(ld(X1,X2),ld(X1,unit)),mult(X2,ld(ld(ld(X1,X2),X2),unit))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.298.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.2.1','L')]).
% 82.04/82.45 cnf('0.300.0.1',plain,
% 82.04/82.45 ( X1 = ld(mult(ld(X1,X2),ld(X1,unit)),mult(X2,ld(ld(ld(X1,X2),X2),unit))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.300.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('L','L')]).
% 82.04/82.45 cnf('0.300.0.2',plain,
% 82.04/82.45 ( X1 = ld(ld(X1,mult(ld(X1,unit),X2)),mult(X2,ld(ld(ld(X1,X2),X2),unit))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.300.0.1','0.216.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.1','L')]).
% 82.04/82.45 cnf('0.300.0.3',plain,
% 82.04/82.45 ( X1 = ld(ld(X1,mult(ld(X1,unit),X2)),mult(X2,ld(X1,unit))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.300.0.2','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.2.1','L')]).
% 82.04/82.45 cnf('0.300.1.0',plain,
% 82.04/82.45 ( X1 = ld(ld(X1,mult(ld(X1,unit),X2)),mult(X2,ld(X1,unit))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.300.0.3']),
% 82.04/82.45 [weight('<209,298,16,[1,0,0,4]>')]).
% 82.04/82.45 cnf('0.300.2.0',plain,
% 82.04/82.45 ( ld(ld(X1,mult(ld(X1,unit),X2)),mult(X2,ld(X1,unit))) = X1 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.300.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_299]).
% 82.04/82.45 cnf('0.302.0.0',plain,
% 82.04/82.45 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(X1,X2)),mult(X2,ld(ld(X1,unit),unit))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.300.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.2.1','L')]).
% 82.04/82.45 cnf('0.302.0.1',plain,
% 82.04/82.45 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(X1,X2)),mult(X2,X1)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.302.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.2','L')]).
% 82.04/82.45 cnf('0.302.1.0',plain,
% 82.04/82.45 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(X1,X2)),mult(X2,X1)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.302.0.1']),
% 82.04/82.45 [weight('<179,300,16,[1,0,0,4]>')]).
% 82.04/82.45 cnf('0.302.2.0',plain,
% 82.04/82.45 ( ld(ld(ld(X1,unit),mult(X1,X2)),mult(X2,X1)) = ld(X1,unit) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.302.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_301]).
% 82.04/82.45 cnf('0.334.0.0',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.204.2.0','0.214.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.2.2','L')]).
% 82.04/82.45 cnf('0.334.0.1',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.334.0.0','0.10.2.0',theory(equality)]),
% 82.04/82.45 [pos('L','L')]).
% 82.04/82.45 cnf('0.334.0.2',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.334.0.1','0.10.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.1','L')]).
% 82.04/82.45 cnf('0.334.0.3',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.334.0.2','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.1','L')]).
% 82.04/82.45 cnf('0.334.0.4',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),X3))) = mult(mult(ld(X1,unit),X2),mult(X1,mult(ld(X1,unit),X3))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.334.0.3','0.10.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2','L')]).
% 82.04/82.45 cnf('0.334.1.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),X3))) = mult(mult(ld(X1,unit),X2),mult(X1,mult(ld(X1,unit),X3))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.334.0.4']),
% 82.04/82.45 [weight('<349,214,204,[0,0,0,5]>')]).
% 82.04/82.45 cnf('0.334.2.0',plain,
% 82.04/82.45 ( mult(mult(ld(X1,unit),X2),mult(X1,mult(ld(X1,unit),X3))) = mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),X3))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.334.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_333]).
% 82.04/82.45 cnf('0.406.0.0',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.2.2','L')]).
% 82.04/82.45 cnf('0.406.1.0',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.406.0.0']),
% 82.04/82.45 [weight('<?,7,1,[1,0,0,7]>')]).
% 82.04/82.45 cnf('0.406.2.0',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.406.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_405]).
% 82.04/82.45 cnf('0.408.0.0',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.406.2.0','0.14.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.408.0.1',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3)))) = mult(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.408.0.0','0.14.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.2.1','L')]).
% 82.04/82.45 cnf('0.408.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3)))) = mult(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.408.0.1']),
% 82.04/82.45 [weight('<275,406,14,[1,0,0,1]>')]).
% 82.04/82.45 cnf('0.408.2.0',plain,
% 82.04/82.45 ( mult(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3)))) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3)))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.408.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_407]).
% 82.04/82.45 cnf('0.410.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,unit)))) = mult(X1,ld(mult(X1,X2),mult(X1,X2))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.408.2.0','0.2.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.2','L')]).
% 82.04/82.45 cnf('0.410.0.1',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,X1))) = mult(X1,ld(mult(X1,X2),mult(X1,X2))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.410.0.0','0.2.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.2','L')]).
% 82.04/82.45 cnf('0.410.0.2',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,X1))) = mult(X1,unit) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.410.0.1','0.12.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2','L')]).
% 82.04/82.45 cnf('0.410.0.3',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,X1))) = X1 ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.410.0.2','0.2.2.0',theory(equality)]),
% 82.04/82.45 [pos('R','L')]).
% 82.04/82.45 cnf('0.410.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,X1))) = X1 ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.410.0.3']),
% 82.04/82.45 [weight('<109,408,2,[1,0,0,8]>')]).
% 82.04/82.45 cnf('0.410.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,X1))) = X1 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.410.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_409]).
% 82.04/82.45 cnf('0.458.0.0',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.408.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.1','L')]).
% 82.04/82.45 cnf('0.458.0.1',plain,
% 82.04/82.45 ( ld(X2,mult(X1,mult(ld(X1,X2),mult(X1,X3)))) = mult(X1,ld(X2,mult(X1,mult(ld(X1,X2),X3)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.458.0.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.458.1.0',plain,
% 82.04/82.45 ( ld(X2,mult(X1,mult(ld(X1,X2),mult(X1,X3)))) = mult(X1,ld(X2,mult(X1,mult(ld(X1,X2),X3)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.458.0.1']),
% 82.04/82.45 [weight('<275,408,1,[1,0,0,3]>')]).
% 82.04/82.45 cnf('0.458.2.0',plain,
% 82.04/82.45 ( mult(X1,ld(X2,mult(X1,mult(ld(X1,X2),X3)))) = ld(X2,mult(X1,mult(ld(X1,X2),mult(X1,X3)))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.458.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_457]).
% 82.04/82.45 cnf('0.460.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3)))) = mult(X1,ld(mult(X2,X1),mult(X1,mult(X2,X3)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.408.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.1','L')]).
% 82.04/82.45 cnf('0.460.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3)))) = mult(X1,ld(mult(X2,X1),mult(X1,mult(X2,X3)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.460.0.0']),
% 82.04/82.45 [weight('<275,408,5,[1,0,0,3]>')]).
% 82.04/82.45 cnf('0.460.2.0',plain,
% 82.04/82.45 ( mult(X1,ld(mult(X2,X1),mult(X1,mult(X2,X3)))) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3)))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.460.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_459]).
% 82.04/82.45 cnf('0.462.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,unit)))) = mult(X1,ld(mult(X2,X1),mult(X1,X2))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.460.2.0','0.2.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.2','L')]).
% 82.04/82.45 cnf('0.462.0.1',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,X1))) = mult(X1,ld(mult(X2,X1),mult(X1,X2))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.462.0.0','0.2.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.2','L')]).
% 82.04/82.45 cnf('0.462.0.2',plain,
% 82.04/82.45 ( X1 = mult(X1,ld(mult(X2,X1),mult(X1,X2))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.462.0.1','0.410.2.0',theory(equality)]),
% 82.04/82.45 [pos('L','L')]).
% 82.04/82.45 cnf('0.462.1.0',plain,
% 82.04/82.45 ( X1 = mult(X1,ld(mult(X2,X1),mult(X1,X2))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.462.0.2']),
% 82.04/82.45 [weight('<109,460,2,[1,0,0,8]>')]).
% 82.04/82.45 cnf('0.462.2.0',plain,
% 82.04/82.45 ( mult(X1,ld(mult(X2,X1),mult(X1,X2))) = X1 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.462.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_461]).
% 82.04/82.45 cnf('0.464.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X2,X1)) = ld(X2,X2) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.462.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.464.0.1',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X2,X1)) = unit ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.464.0.0','0.12.2.0',theory(equality)]),
% 82.04/82.45 [pos('R','L')]).
% 82.04/82.45 cnf('0.464.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X2,X1)) = unit ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.464.0.1']),
% 82.04/82.45 [weight('<71,462,4,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.464.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X2,X1)) = unit ),
% 82.04/82.45 inference(orient,[status(thm)],['0.464.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_463]).
% 82.04/82.45 cnf('0.466.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),ld(ld(mult(X1,X2),unit),mult(X2,X1))) = ld(ld(mult(X1,X2),unit),unit) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.222.2.0','0.464.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.466.0.1',plain,
% 82.04/82.45 ( ld(mult(X1,X2),ld(ld(mult(X1,X2),unit),mult(X2,X1))) = mult(X1,X2) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.466.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('R','L')]).
% 82.04/82.45 cnf('0.466.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),ld(ld(mult(X1,X2),unit),mult(X2,X1))) = mult(X1,X2) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.466.0.1']),
% 82.04/82.45 [weight('<237,464,222,[0,0,0,4]>')]).
% 82.04/82.45 cnf('0.466.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),ld(ld(mult(X1,X2),unit),mult(X2,X1))) = mult(X1,X2) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.466.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_465]).
% 82.04/82.45 cnf('0.468.0.0',plain,
% 82.04/82.45 ( ld(ld(mult(X1,X2),unit),mult(X2,X1)) = mult(mult(X1,X2),mult(X1,X2)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1.2.0','0.466.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.468.1.0',plain,
% 82.04/82.45 ( ld(ld(mult(X1,X2),unit),mult(X2,X1)) = mult(mult(X1,X2),mult(X1,X2)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.468.0.0']),
% 82.04/82.45 [weight('<169,466,1,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.468.2.0',plain,
% 82.04/82.45 ( ld(ld(mult(X1,X2),unit),mult(X2,X1)) = mult(mult(X1,X2),mult(X1,X2)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.468.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_467]).
% 82.04/82.45 cnf('0.470.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),unit) = ld(mult(mult(X1,X2),mult(X1,X2)),mult(X2,X1)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.16.2.0','0.468.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.470.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),unit) = ld(mult(mult(X1,X2),mult(X1,X2)),mult(X2,X1)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.470.0.0']),
% 82.04/82.45 [weight('<203,468,16,[0,0,0,1]>')]).
% 82.04/82.45 cnf('0.470.2.0',plain,
% 82.04/82.45 ( ld(mult(mult(X1,X2),mult(X1,X2)),mult(X2,X1)) = ld(mult(X1,X2),unit) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.470.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_469]).
% 82.04/82.45 cnf('0.474.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),unit) = ld(mult(mult(X1,X2),mult(X2,X1)),mult(X2,X1)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.470.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.2','L')]).
% 82.04/82.45 cnf('0.474.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),unit) = ld(mult(mult(X1,X2),mult(X2,X1)),mult(X2,X1)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.474.0.0']),
% 82.04/82.45 [weight('<203,470,5,[1,0,0,5]>')]).
% 82.04/82.45 cnf('0.474.2.0',plain,
% 82.04/82.45 ( ld(mult(mult(X1,X2),mult(X2,X1)),mult(X2,X1)) = ld(mult(X1,X2),unit) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.474.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_473]).
% 82.04/82.45 cnf('0.516.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3)))) = mult(X1,ld(mult(X2,X1),mult(mult(X2,X3),X1))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.460.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.516.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3)))) = mult(X1,ld(mult(X2,X1),mult(mult(X2,X3),X1))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.516.0.0']),
% 82.04/82.45 [weight('<275,460,5,[1,0,0,6]>')]).
% 82.04/82.45 cnf('0.516.2.0',plain,
% 82.04/82.45 ( mult(X1,ld(mult(X2,X1),mult(mult(X2,X3),X1))) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3)))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.516.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_513]).
% 82.04/82.45 cnf('0.562.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,ld(X2,X3))))) = mult(X1,ld(mult(X1,X2),mult(X1,X3))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.408.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.2','L')]).
% 82.04/82.45 cnf('0.562.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,ld(X2,X3))))) = mult(X1,ld(mult(X1,X2),mult(X1,X3))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.562.0.0']),
% 82.04/82.45 [weight('<321,408,1,[1,0,0,8]>')]).
% 82.04/82.45 cnf('0.562.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,ld(X2,X3))))) = mult(X1,ld(mult(X1,X2),mult(X1,X3))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.562.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_559]).
% 82.04/82.45 cnf('0.564.0.0',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.562.2.0','0.250.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.564.0.1',plain,
% 82.04/82.45 ( mult(X1,ld(X2,mult(X1,unit))) = ld(mult(X1,ld(X1,X2)),mult(X1,mult(X2,ld(ld(X1,X2),unit)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.564.0.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.1','L')]).
% 82.04/82.45 cnf('0.564.0.2',plain,
% 82.04/82.45 ( mult(X1,ld(X2,X1)) = ld(mult(X1,ld(X1,X2)),mult(X1,mult(X2,ld(ld(X1,X2),unit)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.564.0.1','0.2.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.564.0.3',plain,
% 82.04/82.45 ( mult(X1,ld(X2,X1)) = ld(X2,mult(X1,mult(X2,ld(ld(X1,X2),unit)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.564.0.2','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.1','L')]).
% 82.04/82.45 cnf('0.564.1.0',plain,
% 82.04/82.45 ( mult(X1,ld(X2,X1)) = ld(X2,mult(X1,mult(X2,ld(ld(X1,X2),unit)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.564.0.3']),
% 82.04/82.45 [weight('<203,562,250,[1,0,0,6]>')]).
% 82.04/82.45 cnf('0.564.2.0',plain,
% 82.04/82.45 ( ld(X1,mult(X2,mult(X1,ld(ld(X2,X1),unit)))) = mult(X2,ld(X1,X2)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.564.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_561]).
% 82.04/82.45 cnf('0.566.0.0',plain,
% 82.04/82.45 ( mult(X1,mult(X2,ld(ld(X1,X2),unit))) = mult(X2,mult(X1,ld(X2,X1))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1.2.0','0.564.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.566.1.0',plain,
% 82.04/82.45 ( mult(X1,mult(X2,ld(ld(X1,X2),unit))) = mult(X2,mult(X1,ld(X2,X1))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.566.0.0']),
% 82.04/82.45 [weight('<169,564,1,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.566.2.0',plain,
% 82.04/82.45 ( mult(X1,mult(X2,ld(ld(X1,X2),unit))) = mult(X2,mult(X1,ld(X2,X1))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.566.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_563]).
% 82.04/82.45 cnf('0.568.0.0',plain,
% 82.04/82.45 ( mult(X1,ld(ld(X2,X1),unit)) = ld(X2,mult(X1,mult(X2,ld(X1,X2)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.566.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.568.1.0',plain,
% 82.04/82.45 ( mult(X1,ld(ld(X2,X1),unit)) = ld(X2,mult(X1,mult(X2,ld(X1,X2)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.568.0.0']),
% 82.04/82.45 [weight('<169,566,4,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.568.2.0',plain,
% 82.04/82.45 ( ld(X1,mult(X2,mult(X1,ld(X2,X1)))) = mult(X2,ld(ld(X1,X2),unit)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.568.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_565]).
% 82.04/82.45 cnf('0.570.0.0',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.562.2.0','0.464.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.2.2','L')]).
% 82.04/82.45 cnf('0.570.0.1',plain,
% 82.04/82.45 ( 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))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.570.0.0','0.2.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.2.2','L')]).
% 82.04/82.45 cnf('0.570.0.2',plain,
% 82.04/82.45 ( mult(X1,ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2)))) = X1 ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.570.0.1','0.410.2.0',theory(equality)]),
% 82.04/82.45 [pos('R','L')]).
% 82.04/82.45 cnf('0.570.1.0',plain,
% 82.04/82.45 ( mult(X1,ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2)))) = X1 ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.570.0.2']),
% 82.04/82.45 [weight('<209,562,464,[1,0,0,10]>')]).
% 82.04/82.45 cnf('0.570.2.0',plain,
% 82.04/82.45 ( mult(X1,ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2)))) = X1 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.570.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_567]).
% 82.04/82.45 cnf('0.572.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2))) = ld(X1,X1) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.570.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.572.0.1',plain,
% 82.04/82.45 ( ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2))) = unit ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.572.0.0','0.12.2.0',theory(equality)]),
% 82.04/82.45 [pos('R','L')]).
% 82.04/82.45 cnf('0.572.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2))) = unit ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.572.0.1']),
% 82.04/82.45 [weight('<155,570,4,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.572.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,mult(X2,X3)),mult(X1,mult(X3,X2))) = unit ),
% 82.04/82.45 inference(orient,[status(thm)],['0.572.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_569]).
% 82.04/82.45 cnf('0.574.0.0',plain,
% 82.04/82.45 ( unit = ld(mult(mult(X1,X2),X3),mult(X3,mult(X2,X1))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.572.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.574.1.0',plain,
% 82.04/82.45 ( unit = ld(mult(mult(X1,X2),X3),mult(X3,mult(X2,X1))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.574.0.0']),
% 82.04/82.45 [weight('<155,572,5,[1,0,0,1]>')]).
% 82.04/82.45 cnf('0.574.2.0',plain,
% 82.04/82.45 ( ld(mult(mult(X1,X2),X3),mult(X3,mult(X2,X1))) = unit ),
% 82.04/82.45 inference(orient,[status(thm)],['0.574.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_571]).
% 82.04/82.45 cnf('0.576.0.0',plain,
% 82.04/82.45 ( mult(X1,mult(X2,X3)) = mult(mult(mult(X3,X2),X1),unit) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1.2.0','0.574.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.576.0.1',plain,
% 82.04/82.45 ( mult(X1,mult(X2,X3)) = mult(mult(X3,X2),X1) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.576.0.0','0.2.2.0',theory(equality)]),
% 82.04/82.45 [pos('R','L')]).
% 82.04/82.45 cnf('0.576.1.0',plain,
% 82.04/82.45 ( mult(X1,mult(X2,X3)) = mult(mult(X3,X2),X1) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.576.0.1']),
% 82.04/82.45 [weight('<120,574,1,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.576.2.0',plain,
% 82.04/82.45 ( mult(X1,mult(X2,X3)) = mult(mult(X3,X2),X1) ),
% 82.04/82.45 inference(activate,[status(thm)],['0.576.1.0']),
% 82.04/82.45 [equation_4]).
% 82.04/82.45 cnf('0.578.0.0',plain,
% 82.04/82.45 ( X1 = ld(mult(X2,X3),mult(X1,mult(X3,X2))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.576.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','R')]).
% 82.04/82.45 cnf('0.578.1.0',plain,
% 82.04/82.45 ( X1 = ld(mult(X2,X3),mult(X1,mult(X3,X2))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.578.0.0']),
% 82.04/82.45 [weight('<109,576,4,[0,1,0,2]>')]).
% 82.04/82.45 cnf('0.578.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X3,mult(X2,X1))) = X3 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.578.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_574]).
% 82.04/82.45 cnf('0.584.0.0',plain,
% 82.04/82.45 ( unit = ld(mult(mult(X1,X2),X3),mult(mult(X2,X1),X3)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.574.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.584.1.0',plain,
% 82.04/82.45 ( unit = ld(mult(mult(X1,X2),X3),mult(mult(X2,X1),X3)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.584.0.0']),
% 82.04/82.45 [weight('<155,574,5,[1,0,0,6]>')]).
% 82.04/82.45 cnf('0.584.2.0',plain,
% 82.04/82.45 ( ld(mult(mult(X1,X2),X3),mult(mult(X2,X1),X3)) = unit ),
% 82.04/82.45 inference(orient,[status(thm)],['0.584.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_580]).
% 82.04/82.45 cnf('0.586.0.0',plain,
% 82.04/82.45 ( unit = ld(X1,mult(mult(X2,X3),ld(mult(X3,X2),X1))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.584.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.586.1.0',plain,
% 82.04/82.45 ( unit = ld(X1,mult(mult(X2,X3),ld(mult(X3,X2),X1))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.586.0.0']),
% 82.04/82.45 [weight('<155,584,1,[1,0,0,1]>')]).
% 82.04/82.45 cnf('0.586.2.0',plain,
% 82.04/82.45 ( ld(X1,mult(mult(X2,X3),ld(mult(X3,X2),X1))) = unit ),
% 82.04/82.45 inference(orient,[status(thm)],['0.586.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_582]).
% 82.04/82.45 cnf('0.588.0.0',plain,
% 82.04/82.45 ( mult(mult(X1,X2),ld(mult(X2,X1),X3)) = mult(X3,unit) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1.2.0','0.586.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.588.0.1',plain,
% 82.04/82.45 ( mult(mult(X1,X2),ld(mult(X2,X1),X3)) = X3 ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.588.0.0','0.2.2.0',theory(equality)]),
% 82.04/82.45 [pos('R','L')]).
% 82.04/82.45 cnf('0.588.1.0',plain,
% 82.04/82.45 ( mult(mult(X1,X2),ld(mult(X2,X1),X3)) = X3 ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.588.0.1']),
% 82.04/82.45 [weight('<109,586,1,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.588.2.0',plain,
% 82.04/82.45 ( mult(mult(X1,X2),ld(mult(X2,X1),X3)) = X3 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.588.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_584]).
% 82.04/82.45 cnf('0.620.0.0',plain,
% 82.04/82.45 ( mult(mult(X1,X2),mult(X3,X4)) = mult(mult(X2,X1),mult(X4,X3)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.576.2.0','0.576.2.0',theory(equality)]),
% 82.04/82.45 [pos('R','L')]).
% 82.04/82.45 cnf('0.620.1.0',plain,
% 82.04/82.45 ( mult(mult(X1,X2),mult(X3,X4)) = mult(mult(X2,X1),mult(X4,X3)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.620.0.0']),
% 82.04/82.45 [weight('<224,576,576,[1,1,0,0]>')]).
% 82.04/82.45 cnf('0.620.2.0',plain,
% 82.04/82.45 ( mult(mult(X1,X2),mult(X3,X4)) = mult(mult(X2,X1),mult(X4,X3)) ),
% 82.04/82.45 inference(activate,[status(thm)],['0.620.1.0']),
% 82.04/82.45 [equation_7]).
% 82.04/82.45 cnf('0.634.0.0',plain,
% 82.04/82.45 ( mult(X1,ld(ld(mult(X1,X2),X1),unit)) = ld(mult(X1,X2),mult(X1,mult(mult(X1,X2),X2))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.568.2.0','0.4.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.2','L')]).
% 82.04/82.45 cnf('0.634.1.0',plain,
% 82.04/82.45 ( mult(X1,ld(ld(mult(X1,X2),X1),unit)) = ld(mult(X1,X2),mult(X1,mult(mult(X1,X2),X2))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.634.0.0']),
% 82.04/82.45 [weight('<251,568,4,[1,0,0,6]>')]).
% 82.04/82.45 cnf('0.634.1.1',plain,
% 82.04/82.45 ( mult(X1,ld(ld(mult(X1,X2),X1),unit)) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X2,X1)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.634.1.0','0.576.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.2','R')]).
% 82.04/82.45 cnf('0.634.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X2,X1)))) = mult(X1,ld(ld(mult(X1,X2),X1),unit)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.634.1.1',theory(equality)]),
% 82.04/82.45 [x,rule_624]).
% 82.04/82.45 cnf('0.650.0.0',plain,
% 82.04/82.45 ( mult(X1,ld(ld(mult(X1,X2),X1),unit)) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X2)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.634.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.2','L')]).
% 82.04/82.45 cnf('0.650.1.0',plain,
% 82.04/82.45 ( mult(X1,ld(ld(mult(X1,X2),X1),unit)) = ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X2)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.650.0.0']),
% 82.04/82.45 [weight('<251,634,5,[1,0,0,8]>')]).
% 82.04/82.45 cnf('0.650.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X2)))) = mult(X1,ld(ld(mult(X1,X2),X1),unit)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.650.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_640]).
% 82.04/82.45 cnf('0.750.0.0',plain,
% 82.04/82.45 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(mult(X2,X3),X1)),mult(mult(X3,X2),X1)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.302.2.0','0.576.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.2','L')]).
% 82.04/82.45 cnf('0.750.1.0',plain,
% 82.04/82.45 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(mult(X2,X3),X1)),mult(mult(X3,X2),X1)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.750.0.0']),
% 82.04/82.45 [weight('<303,576,302,[0,0,0,5]>')]).
% 82.04/82.45 cnf('0.750.2.0',plain,
% 82.04/82.45 ( ld(ld(ld(X1,unit),mult(mult(X2,X3),X1)),mult(mult(X3,X2),X1)) = ld(X1,unit) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.750.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_740]).
% 82.04/82.45 cnf('0.752.0.0',plain,
% 82.04/82.45 ( 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))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.296.2.0','0.750.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.1.1','L')]).
% 82.04/82.45 cnf('0.752.0.1',plain,
% 82.04/82.45 ( 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))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.752.0.0','0.750.2.0',theory(equality)]),
% 82.04/82.45 [pos('L','L')]).
% 82.04/82.45 cnf('0.752.0.2',plain,
% 82.04/82.45 ( 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))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.752.0.1','0.222.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.1','L')]).
% 82.04/82.45 cnf('0.752.0.3',plain,
% 82.04/82.45 ( 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))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.752.0.2','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.1.2.1','L')]).
% 82.04/82.45 cnf('0.752.0.4',plain,
% 82.04/82.45 ( 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))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.752.0.3','0.14.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.1.2','L')]).
% 82.04/82.45 cnf('0.752.0.5',plain,
% 82.04/82.45 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(X2,X3)),ld(ld(ld(X1,unit),unit),mult(mult(X3,X2),X1))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.752.0.4','0.750.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.1.1','L')]).
% 82.04/82.45 cnf('0.752.0.6',plain,
% 82.04/82.45 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(X2,X3)),ld(X1,mult(mult(X3,X2),X1))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.752.0.5','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.1','L')]).
% 82.04/82.45 cnf('0.752.0.7',plain,
% 82.04/82.45 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(X2,X3)),mult(X3,X2)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.752.0.6','0.14.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2','L')]).
% 82.04/82.45 cnf('0.752.1.0',plain,
% 82.04/82.45 ( ld(X1,unit) = ld(ld(ld(X1,unit),mult(X2,X3)),mult(X3,X2)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.752.0.7']),
% 82.04/82.45 [weight('<179,750,296,[0,0,0,3]>')]).
% 82.04/82.45 cnf('0.752.2.0',plain,
% 82.04/82.45 ( ld(ld(ld(X1,unit),mult(X2,X3)),mult(X3,X2)) = ld(X1,unit) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.752.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_742]).
% 82.04/82.45 cnf('0.754.0.0',plain,
% 82.04/82.45 ( ld(ld(X1,unit),unit) = ld(ld(X1,mult(X2,X3)),mult(X3,X2)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.752.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.1','L')]).
% 82.04/82.45 cnf('0.754.0.1',plain,
% 82.04/82.45 ( X1 = ld(ld(X1,mult(X2,X3)),mult(X3,X2)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.754.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('L','L')]).
% 82.04/82.45 cnf('0.754.1.0',plain,
% 82.04/82.45 ( X1 = ld(ld(X1,mult(X2,X3)),mult(X3,X2)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.754.0.1']),
% 82.04/82.45 [weight('<109,752,16,[1,0,0,2]>')]).
% 82.04/82.45 cnf('0.754.2.0',plain,
% 82.04/82.45 ( ld(ld(X1,mult(X2,X3)),mult(X3,X2)) = X1 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.754.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_744]).
% 82.04/82.45 cnf('0.756.0.0',plain,
% 82.04/82.45 ( X1 = ld(ld(X1,mult(mult(X2,X3),X4)),mult(mult(X3,X2),X4)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.754.2.0','0.576.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.2','L')]).
% 82.04/82.45 cnf('0.756.1.0',plain,
% 82.04/82.45 ( X1 = ld(ld(X1,mult(mult(X2,X3),X4)),mult(mult(X3,X2),X4)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.756.0.0']),
% 82.04/82.45 [weight('<209,754,576,[1,0,0,3]>')]).
% 82.04/82.45 cnf('0.756.2.0',plain,
% 82.04/82.45 ( ld(ld(X1,mult(mult(X2,X3),X4)),mult(mult(X3,X2),X4)) = X1 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.756.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_746]).
% 82.04/82.45 cnf('0.760.0.0',plain,
% 82.04/82.45 ( X1 = ld(ld(X1,mult(X2,mult(X3,X4))),mult(mult(X4,X3),X2)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.756.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.2','L')]).
% 82.04/82.45 cnf('0.760.1.0',plain,
% 82.04/82.45 ( X1 = ld(ld(X1,mult(X2,mult(X3,X4))),mult(mult(X4,X3),X2)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.760.0.0']),
% 82.04/82.45 [weight('<209,756,5,[1,0,0,3]>')]).
% 82.04/82.45 cnf('0.760.2.0',plain,
% 82.04/82.45 ( ld(ld(X1,mult(X2,mult(X3,X4))),mult(mult(X4,X3),X2)) = X1 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.760.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_750]).
% 82.04/82.45 cnf('0.764.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,X3))) = ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3))))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.408.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.764.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,X3))) = ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3))))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.764.0.0']),
% 82.04/82.45 [weight('<321,408,4,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.764.2.0',plain,
% 82.04/82.45 ( ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,X3))))) = ld(mult(X1,X2),mult(X1,mult(X2,X3))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.764.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_754]).
% 82.04/82.45 cnf('0.766.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,X2))) = ld(X1,mult(X1,ld(ld(mult(X1,X2),X1),unit))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.764.2.0','0.650.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.766.0.1',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,X2))) = ld(ld(mult(X1,X2),X1),unit) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.766.0.0','0.4.2.0',theory(equality)]),
% 82.04/82.45 [pos('R','L')]).
% 82.04/82.45 cnf('0.766.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,X2))) = ld(ld(mult(X1,X2),X1),unit) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.766.0.1']),
% 82.04/82.45 [weight('<169,764,650,[1,0,0,2]>')]).
% 82.04/82.45 cnf('0.766.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,X2))) = ld(ld(mult(X1,X2),X1),unit) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.766.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_756]).
% 82.04/82.45 cnf('0.768.0.0',plain,
% 82.04/82.45 ( ld(ld(mult(X1,X2),X1),unit) = ld(mult(X2,X1),mult(X1,mult(X2,X2))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.766.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.768.1.0',plain,
% 82.04/82.45 ( ld(ld(mult(X1,X2),X1),unit) = ld(mult(X2,X1),mult(X1,mult(X2,X2))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.768.0.0']),
% 82.04/82.45 [weight('<169,766,5,[1,0,0,1]>')]).
% 82.04/82.45 cnf('0.768.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X2,mult(X1,X1))) = ld(ld(mult(X2,X1),X2),unit) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.768.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_758]).
% 82.04/82.45 cnf('0.774.0.0',plain,
% 82.04/82.45 ( mult(X1,mult(X2,X2)) = mult(mult(X1,X2),ld(ld(mult(X1,X2),X1),unit)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1.2.0','0.766.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.774.1.0',plain,
% 82.04/82.45 ( mult(X1,mult(X2,X2)) = mult(mult(X1,X2),ld(ld(mult(X1,X2),X1),unit)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.774.0.0']),
% 82.04/82.45 [weight('<203,766,1,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.774.2.0',plain,
% 82.04/82.45 ( mult(mult(X1,X2),ld(ld(mult(X1,X2),X1),unit)) = mult(X1,mult(X2,X2)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.774.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_764]).
% 82.04/82.45 cnf('0.776.0.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,X2),ld(X1,X2))) = mult(X2,ld(ld(mult(X1,ld(X1,X2)),X1),unit)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.774.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.776.0.1',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,X2),ld(X1,X2))) = mult(X2,ld(ld(X2,X1),unit)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.776.0.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.1.1','L')]).
% 82.04/82.45 cnf('0.776.1.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,X2),ld(X1,X2))) = mult(X2,ld(ld(X2,X1),unit)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.776.0.1']),
% 82.04/82.45 [weight('<169,774,1,[1,0,0,1]>')]).
% 82.04/82.45 cnf('0.776.2.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,X2),ld(X1,X2))) = mult(X2,ld(ld(X2,X1),unit)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.776.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_766]).
% 82.04/82.45 cnf('0.778.0.0',plain,
% 82.04/82.45 ( mult(ld(X1,X2),ld(X1,X2)) = ld(X1,mult(X2,ld(ld(X2,X1),unit))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.776.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.778.1.0',plain,
% 82.04/82.45 ( mult(ld(X1,X2),ld(X1,X2)) = ld(X1,mult(X2,ld(ld(X2,X1),unit))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.778.0.0']),
% 82.04/82.45 [weight('<169,776,4,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.778.2.0',plain,
% 82.04/82.45 ( ld(X1,mult(X2,ld(ld(X2,X1),unit))) = mult(ld(X1,X2),ld(X1,X2)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.778.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_768]).
% 82.04/82.45 cnf('0.802.0.0',plain,
% 82.04/82.45 ( ld(ld(mult(ld(X1,X2),X1),ld(X1,X2)),unit) = ld(X2,mult(ld(X1,X2),mult(X1,X1))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.768.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.802.0.1',plain,
% 82.04/82.45 ( ld(ld(mult(ld(X1,X2),X1),ld(X1,X2)),unit) = ld(X2,ld(X1,mult(mult(X1,X1),X2))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.802.0.0','0.68.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2','L')]).
% 82.04/82.45 cnf('0.802.1.0',plain,
% 82.04/82.45 ( ld(ld(mult(ld(X1,X2),X1),ld(X1,X2)),unit) = ld(X2,ld(X1,mult(mult(X1,X1),X2))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.802.0.1']),
% 82.04/82.45 [weight('<251,768,1,[1,0,0,1]>')]).
% 82.04/82.45 cnf('0.802.1.1',plain,
% 82.04/82.45 ( ld(ld(mult(X1,ld(X1,X2)),ld(X1,X2)),unit) = ld(X2,ld(X1,mult(mult(X1,X1),X2))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.802.1.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.1','L')]).
% 82.04/82.45 cnf('0.802.1.2',plain,
% 82.04/82.45 ( ld(ld(X2,ld(X1,X2)),unit) = ld(X2,ld(X1,mult(mult(X1,X1),X2))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.802.1.1','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.1','L')]).
% 82.04/82.45 cnf('0.802.2.0',plain,
% 82.04/82.45 ( ld(X1,ld(X2,mult(mult(X2,X2),X1))) = ld(ld(X1,ld(X2,X1)),unit) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.802.1.2',theory(equality)]),
% 82.04/82.45 [x,rule_792]).
% 82.04/82.45 cnf('0.804.0.0',plain,
% 82.04/82.45 ( ld(ld(X1,ld(X2,X1)),unit) = ld(X1,ld(X2,mult(X1,mult(X2,X2)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.802.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.804.1.0',plain,
% 82.04/82.45 ( ld(ld(X1,ld(X2,X1)),unit) = ld(X1,ld(X2,mult(X1,mult(X2,X2)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.804.0.0']),
% 82.04/82.45 [weight('<169,802,5,[1,0,0,4]>')]).
% 82.04/82.45 cnf('0.804.2.0',plain,
% 82.04/82.45 ( ld(X1,ld(X2,mult(X1,mult(X2,X2)))) = ld(ld(X1,ld(X2,X1)),unit) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.804.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_794]).
% 82.04/82.45 cnf('0.812.0.0',plain,
% 82.04/82.45 ( mult(ld(mult(X1,X2),X1),ld(mult(X1,X2),X1)) = ld(mult(X1,X2),mult(X1,ld(X2,unit))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.778.2.0','0.4.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.1','L')]).
% 82.04/82.45 cnf('0.812.1.0',plain,
% 82.04/82.45 ( mult(ld(mult(X1,X2),X1),ld(mult(X1,X2),X1)) = ld(mult(X1,X2),mult(X1,ld(X2,unit))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.812.0.0']),
% 82.04/82.45 [weight('<251,778,4,[1,0,0,5]>')]).
% 82.04/82.45 cnf('0.812.2.0',plain,
% 82.04/82.45 ( mult(ld(mult(X1,X2),X1),ld(mult(X1,X2),X1)) = ld(mult(X1,X2),mult(X1,ld(X2,unit))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.812.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_802]).
% 82.04/82.45 cnf('0.826.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,ld(X2,unit))) = mult(ld(mult(X2,X1),X1),ld(mult(X1,X2),X1)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.812.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.1','L')]).
% 82.04/82.45 cnf('0.826.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,ld(X2,unit))) = mult(ld(mult(X2,X1),X1),ld(mult(X1,X2),X1)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.826.0.0']),
% 82.04/82.45 [weight('<251,812,5,[1,0,0,2]>')]).
% 82.04/82.45 cnf('0.826.2.0',plain,
% 82.04/82.45 ( mult(ld(mult(X1,X2),X2),ld(mult(X2,X1),X2)) = ld(mult(X2,X1),mult(X2,ld(X1,unit))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.826.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_816]).
% 82.04/82.45 cnf('0.842.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,ld(X1,X3)))) = ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.764.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.2.2','L')]).
% 82.04/82.45 cnf('0.842.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,ld(X1,X3)))) = ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.842.0.0']),
% 82.04/82.45 [weight('<275,764,1,[1,0,0,10]>')]).
% 82.04/82.45 cnf('0.842.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,ld(X1,X3)))) = ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3)))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.842.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_832]).
% 82.04/82.45 cnf('0.858.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,ld(X2,X3))))) = mult(X1,ld(mult(X2,X1),mult(X3,X1))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.516.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.1','L')]).
% 82.04/82.45 cnf('0.858.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,mult(X2,mult(X1,ld(X2,X3))))) = mult(X1,ld(mult(X2,X1),mult(X3,X1))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.858.0.0']),
% 82.04/82.45 [weight('<321,516,1,[1,0,0,7]>')]).
% 82.04/82.45 cnf('0.858.1.1',plain,
% 82.04/82.45 ( mult(X1,ld(mult(X1,X2),mult(X1,X3))) = mult(X1,ld(mult(X2,X1),mult(X3,X1))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.858.1.0','0.562.2.0',theory(equality)]),
% 82.04/82.45 [pos('L','L')]).
% 82.04/82.45 cnf('0.858.2.0',plain,
% 82.04/82.45 ( mult(X1,ld(mult(X1,X2),mult(X1,X3))) = mult(X1,ld(mult(X2,X1),mult(X3,X1))) ),
% 82.04/82.45 inference(activate,[status(thm)],['0.858.1.1']),
% 82.04/82.45 [equation_14]).
% 82.04/82.45 cnf('0.860.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,X3)) = ld(X1,mult(X1,ld(mult(X2,X1),mult(X3,X1)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.858.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.860.0.1',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,X3)) = ld(mult(X2,X1),mult(X3,X1)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.860.0.0','0.4.2.0',theory(equality)]),
% 82.04/82.45 [pos('R','L')]).
% 82.04/82.45 cnf('0.860.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,X3)) = ld(mult(X2,X1),mult(X3,X1)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.860.0.1']),
% 82.04/82.45 [weight('<224,858,4,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.860.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),mult(X1,X3)) = ld(mult(X2,X1),mult(X3,X1)) ),
% 82.04/82.45 inference(activate,[status(thm)],['0.860.1.0']),
% 82.04/82.45 [equation_15]).
% 82.04/82.45 cnf('0.964.0.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),X1) = ld(ld(mult(X2,X1),X1),ld(mult(X1,X2),mult(X1,ld(X2,unit)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.826.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.964.1.0',plain,
% 82.04/82.45 ( ld(mult(X1,X2),X1) = ld(ld(mult(X2,X1),X1),ld(mult(X1,X2),mult(X1,ld(X2,unit)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.964.0.0']),
% 82.04/82.45 [weight('<335,826,4,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.964.2.0',plain,
% 82.04/82.45 ( ld(ld(mult(X1,X2),X2),ld(mult(X2,X1),mult(X2,ld(X1,unit)))) = ld(mult(X2,X1),X2) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.964.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_947]).
% 82.04/82.45 cnf('0.1168.0.0',plain,
% 82.04/82.45 ( ld(unit,mult(X1,mult(ld(X1,unit),mult(X2,ld(X1,X3))))) = mult(ld(unit,mult(X1,mult(ld(X1,unit),X2))),ld(unit,mult(X1,ld(X1,mult(ld(X1,unit),X3))))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.204.2.0','0.214.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.2','L')]).
% 82.04/82.45 cnf('0.1168.0.1',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(X2,ld(X1,X3)))) = mult(ld(unit,mult(X1,mult(ld(X1,unit),X2))),ld(unit,mult(X1,ld(X1,mult(ld(X1,unit),X3))))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1168.0.0','0.10.2.0',theory(equality)]),
% 82.04/82.45 [pos('L','L')]).
% 82.04/82.45 cnf('0.1168.0.2',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(X2,ld(X1,X3)))) = mult(mult(X1,mult(ld(X1,unit),X2)),ld(unit,mult(X1,ld(X1,mult(ld(X1,unit),X3))))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1168.0.1','0.10.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.1','L')]).
% 82.04/82.45 cnf('0.1168.0.3',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(X2,ld(X1,X3)))) = mult(mult(X1,mult(ld(X1,unit),X2)),mult(X1,ld(X1,mult(ld(X1,unit),X3)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1168.0.2','0.10.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2','L')]).
% 82.04/82.45 cnf('0.1168.0.4',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(X2,ld(X1,X3)))) = mult(mult(X1,mult(ld(X1,unit),X2)),mult(ld(X1,unit),X3)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1168.0.3','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2','L')]).
% 82.04/82.45 cnf('0.1168.1.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(X2,ld(X1,X3)))) = mult(mult(X1,mult(ld(X1,unit),X2)),mult(ld(X1,unit),X3)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1168.0.4']),
% 82.04/82.45 [weight('<349,214,204,[0,0,0,14]>')]).
% 82.04/82.45 cnf('0.1168.2.0',plain,
% 82.04/82.45 ( mult(mult(X1,mult(ld(X1,unit),X2)),mult(ld(X1,unit),X3)) = mult(X1,mult(ld(X1,unit),mult(X2,ld(X1,X3)))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1168.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1151]).
% 82.04/82.45 cnf('0.1176.0.0',plain,
% 82.04/82.45 ( 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))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.334.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.1','L')]).
% 82.04/82.45 cnf('0.1176.0.1',plain,
% 82.04/82.45 ( 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))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1176.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.1','L')]).
% 82.04/82.45 cnf('0.1176.0.2',plain,
% 82.04/82.45 ( 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))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1176.0.1','0.208.2.0',theory(equality)]),
% 82.04/82.45 [pos('L','L')]).
% 82.04/82.45 cnf('0.1176.0.3',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(ld(ld(X1,unit),X2),X3))) = mult(mult(X1,X2),mult(ld(X1,unit),mult(X1,X3))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1176.0.2','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.2.1','L')]).
% 82.04/82.45 cnf('0.1176.0.4',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(ld(ld(X1,unit),X2),X3))) = mult(mult(X1,X2),mult(X1,mult(ld(X1,unit),X3))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1176.0.3','0.208.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2','L')]).
% 82.04/82.45 cnf('0.1176.1.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(ld(ld(X1,unit),X2),X3))) = mult(mult(X1,X2),mult(X1,mult(ld(X1,unit),X3))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1176.0.4']),
% 82.04/82.45 [weight('<349,334,16,[1,0,0,2]>')]).
% 82.04/82.45 cnf('0.1176.2.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(ld(ld(X1,unit),X2),X3))) = mult(mult(X1,X2),mult(X1,mult(ld(X1,unit),X3))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1176.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_1159]).
% 82.04/82.45 cnf('0.1178.0.0',plain,
% 82.04/82.45 ( mult(mult(X1,X2),mult(X1,mult(ld(X1,unit),ld(ld(X1,unit),X2)))) = mult(X1,mult(X2,ld(ld(X2,ld(X1,unit)),unit))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1176.2.0','0.776.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.1178.0.1',plain,
% 82.04/82.45 ( mult(mult(X1,X2),mult(X1,X2)) = mult(X1,mult(X2,ld(ld(X2,ld(X1,unit)),unit))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1178.0.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.1178.1.0',plain,
% 82.04/82.45 ( mult(mult(X1,X2),mult(X1,X2)) = mult(X1,mult(X2,ld(ld(X2,ld(X1,unit)),unit))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1178.0.1']),
% 82.04/82.45 [weight('<227,1176,776,[1,0,0,2]>')]).
% 82.04/82.45 cnf('0.1178.2.0',plain,
% 82.04/82.45 ( mult(X1,mult(X2,ld(ld(X2,ld(X1,unit)),unit))) = mult(mult(X1,X2),mult(X1,X2)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1178.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1161]).
% 82.04/82.45 cnf('0.1180.0.0',plain,
% 82.04/82.45 ( mult(mult(ld(X1,unit),X2),mult(ld(X1,unit),X2)) = mult(ld(X1,unit),mult(X2,ld(ld(X2,X1),unit))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1178.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.1.2','L')]).
% 82.04/82.45 cnf('0.1180.1.0',plain,
% 82.04/82.45 ( mult(mult(ld(X1,unit),X2),mult(ld(X1,unit),X2)) = mult(ld(X1,unit),mult(X2,ld(ld(X2,X1),unit))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1180.0.0']),
% 82.04/82.45 [weight('<275,1178,16,[1,0,0,7]>')]).
% 82.04/82.45 cnf('0.1180.2.0',plain,
% 82.04/82.45 ( mult(mult(ld(X1,unit),X2),mult(ld(X1,unit),X2)) = mult(ld(X1,unit),mult(X2,ld(ld(X2,X1),unit))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1180.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_1163]).
% 82.04/82.45 cnf('0.1188.0.0',plain,
% 82.04/82.45 ( X1 = ld(mult(X2,ld(ld(X2,ld(X1,unit)),unit)),mult(mult(X1,X2),mult(X1,X2))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.14.2.0','0.1178.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.1188.1.0',plain,
% 82.04/82.45 ( X1 = ld(mult(X2,ld(ld(X2,ld(X1,unit)),unit)),mult(mult(X1,X2),mult(X1,X2))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1188.0.0']),
% 82.04/82.45 [weight('<341,1178,14,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.1188.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,ld(ld(X1,ld(X2,unit)),unit)),mult(mult(X2,X1),mult(X2,X1))) = X2 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1188.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1171]).
% 82.04/82.45 cnf('0.1190.0.0',plain,
% 82.04/82.45 ( X1 = ld(mult(ld(X1,X2),ld(ld(ld(X1,X2),ld(X1,unit)),unit)),mult(X2,mult(X1,ld(X1,X2)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1188.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.1','L')]).
% 82.04/82.45 cnf('0.1190.0.1',plain,
% 82.04/82.45 ( X1 = ld(mult(ld(X1,X2),ld(ld(ld(X1,X2),ld(X1,unit)),unit)),mult(X2,X2)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1190.0.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.2','L')]).
% 82.04/82.45 cnf('0.1190.1.0',plain,
% 82.04/82.45 ( X1 = ld(mult(ld(X1,X2),ld(ld(ld(X1,X2),ld(X1,unit)),unit)),mult(X2,X2)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1190.0.1']),
% 82.04/82.45 [weight('<341,1188,1,[1,0,0,11]>')]).
% 82.04/82.45 cnf('0.1190.2.0',plain,
% 82.04/82.45 ( ld(mult(ld(X1,X2),ld(ld(ld(X1,X2),ld(X1,unit)),unit)),mult(X2,X2)) = X1 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1190.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1173]).
% 82.04/82.45 cnf('0.1192.0.0',plain,
% 82.04/82.45 ( mult(ld(X1,X2),ld(ld(ld(X1,X2),ld(X1,unit)),unit)) = ld(X1,mult(X2,X2)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.16.2.0','0.1190.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.1192.1.0',plain,
% 82.04/82.45 ( mult(ld(X1,X2),ld(ld(ld(X1,X2),ld(X1,unit)),unit)) = ld(X1,mult(X2,X2)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1192.0.0']),
% 82.04/82.45 [weight('<265,1190,16,[0,0,0,1]>')]).
% 82.04/82.45 cnf('0.1192.2.0',plain,
% 82.04/82.45 ( mult(ld(X1,X2),ld(ld(ld(X1,X2),ld(X1,unit)),unit)) = ld(X1,mult(X2,X2)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1192.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_1175]).
% 82.04/82.45 cnf('0.1194.0.0',plain,
% 82.04/82.45 ( ld(X1,X2) = ld(ld(ld(ld(X1,X2),ld(X1,unit)),unit),ld(X1,mult(X2,X2))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.14.2.0','0.1192.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.1194.1.0',plain,
% 82.04/82.45 ( ld(X1,X2) = ld(ld(ld(ld(X1,X2),ld(X1,unit)),unit),ld(X1,mult(X2,X2))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1194.0.0']),
% 82.04/82.45 [weight('<303,1192,14,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.1194.2.0',plain,
% 82.04/82.45 ( ld(ld(ld(ld(X1,X2),ld(X1,unit)),unit),ld(X1,mult(X2,X2))) = ld(X1,X2) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1194.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1177]).
% 82.04/82.45 cnf('0.1200.0.0',plain,
% 82.04/82.45 ( X1 = ld(mult(X2,ld(ld(X2,ld(X1,unit)),unit)),mult(mult(X2,X1),mult(X2,X1))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1188.2.0','0.620.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.1200.1.0',plain,
% 82.04/82.45 ( X1 = ld(mult(X2,ld(ld(X2,ld(X1,unit)),unit)),mult(mult(X2,X1),mult(X2,X1))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1200.0.0']),
% 82.04/82.45 [weight('<341,1188,620,[1,0,0,10]>')]).
% 82.04/82.45 cnf('0.1200.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,ld(ld(X1,ld(X2,unit)),unit)),mult(mult(X1,X2),mult(X1,X2))) = X2 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1200.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1183]).
% 82.04/82.45 cnf('0.1202.0.0',plain,
% 82.04/82.45 ( ld(X1,X2) = ld(mult(X1,ld(ld(X1,ld(ld(X1,X2),unit)),unit)),mult(X2,mult(X1,ld(X1,X2)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1200.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.1','L')]).
% 82.04/82.45 cnf('0.1202.0.1',plain,
% 82.04/82.45 ( ld(X1,X2) = ld(mult(X1,ld(ld(X1,ld(ld(X1,X2),unit)),unit)),mult(X2,X2)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1202.0.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.2','L')]).
% 82.04/82.45 cnf('0.1202.1.0',plain,
% 82.04/82.45 ( ld(X1,X2) = ld(mult(X1,ld(ld(X1,ld(ld(X1,X2),unit)),unit)),mult(X2,X2)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1202.0.1']),
% 82.04/82.45 [weight('<303,1200,1,[1,0,0,11]>')]).
% 82.04/82.45 cnf('0.1202.2.0',plain,
% 82.04/82.45 ( ld(mult(X1,ld(ld(X1,ld(ld(X1,X2),unit)),unit)),mult(X2,X2)) = ld(X1,X2) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1202.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1185]).
% 82.04/82.45 cnf('0.1204.0.0',plain,
% 82.04/82.45 ( ld(X1,mult(X1,X2)) = ld(ld(ld(X2,ld(X1,unit)),unit),ld(X1,mult(mult(X1,X2),mult(X1,X2)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1194.2.0','0.4.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.1.1','L')]).
% 82.04/82.45 cnf('0.1204.0.1',plain,
% 82.04/82.45 ( X2 = ld(ld(ld(X2,ld(X1,unit)),unit),ld(X1,mult(mult(X1,X2),mult(X1,X2)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1204.0.0','0.4.2.0',theory(equality)]),
% 82.04/82.45 [pos('L','L')]).
% 82.04/82.45 cnf('0.1204.1.0',plain,
% 82.04/82.45 ( X2 = ld(ld(ld(X2,ld(X1,unit)),unit),ld(X1,mult(mult(X1,X2),mult(X1,X2)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1204.0.1']),
% 82.04/82.45 [weight('<341,1194,4,[1,0,0,3]>')]).
% 82.04/82.45 cnf('0.1204.2.0',plain,
% 82.04/82.45 ( ld(ld(ld(X1,ld(X2,unit)),unit),ld(X2,mult(mult(X2,X1),mult(X2,X1)))) = X1 ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1204.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1187]).
% 82.04/82.45 cnf('0.1206.0.0',plain,
% 82.04/82.45 ( ld(ld(X1,ld(X2,unit)),unit) = ld(X1,ld(X2,mult(mult(X2,X1),mult(X2,X1)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.16.2.0','0.1204.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.1206.1.0',plain,
% 82.04/82.45 ( ld(ld(X1,ld(X2,unit)),unit) = ld(X1,ld(X2,mult(mult(X2,X1),mult(X2,X1)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1206.0.0']),
% 82.04/82.45 [weight('<227,1204,16,[0,0,0,1]>')]).
% 82.04/82.45 cnf('0.1206.2.0',plain,
% 82.04/82.45 ( ld(X1,ld(X2,mult(mult(X2,X1),mult(X2,X1)))) = ld(ld(X1,ld(X2,unit)),unit) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1206.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1189]).
% 82.04/82.45 cnf('0.1208.0.0',plain,
% 82.04/82.45 ( ld(ld(X1,ld(X2,unit)),unit) = ld(X1,ld(X2,mult(mult(X1,X2),mult(X2,X1)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1206.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.1','L')]).
% 82.04/82.45 cnf('0.1208.1.0',plain,
% 82.04/82.45 ( ld(ld(X1,ld(X2,unit)),unit) = ld(X1,ld(X2,mult(mult(X1,X2),mult(X2,X1)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1208.0.0']),
% 82.04/82.45 [weight('<227,1206,5,[1,0,0,5]>')]).
% 82.04/82.45 cnf('0.1208.2.0',plain,
% 82.04/82.45 ( ld(X1,ld(X2,mult(mult(X1,X2),mult(X2,X1)))) = ld(ld(X1,ld(X2,unit)),unit) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1208.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1191]).
% 82.04/82.45 cnf('0.1212.0.0',plain,
% 82.04/82.45 ( ld(ld(X1,ld(X2,unit)),unit) = ld(X1,ld(X2,mult(mult(X1,X2),mult(X1,X2)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1206.2.0','0.620.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.1212.1.0',plain,
% 82.04/82.45 ( ld(ld(X1,ld(X2,unit)),unit) = ld(X1,ld(X2,mult(mult(X1,X2),mult(X1,X2)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1212.0.0']),
% 82.04/82.45 [weight('<227,1206,620,[1,0,0,4]>')]).
% 82.04/82.45 cnf('0.1212.2.0',plain,
% 82.04/82.45 ( ld(X1,ld(X2,mult(mult(X1,X2),mult(X1,X2)))) = ld(ld(X1,ld(X2,unit)),unit) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1212.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1195]).
% 82.04/82.45 cnf('0.1216.0.0',plain,
% 82.04/82.45 ( ld(ld(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(ld(X1,X2),mult(X2,mult(ld(X1,X2),X1)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1208.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.1','L')]).
% 82.04/82.45 cnf('0.1216.1.0',plain,
% 82.04/82.45 ( ld(ld(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(ld(X1,X2),mult(X2,mult(ld(X1,X2),X1)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1216.0.0']),
% 82.04/82.45 [weight('<321,1208,1,[1,0,0,5]>')]).
% 82.04/82.45 cnf('0.1216.1.1',plain,
% 82.04/82.45 ( ld(ld(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(ld(X1,X2),mult(X2,mult(X1,ld(X1,X2))))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1216.1.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.2.2','L')]).
% 82.04/82.45 cnf('0.1216.1.2',plain,
% 82.04/82.45 ( ld(ld(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(ld(X1,X2),mult(X2,X2))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1216.1.1','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.2.2','L')]).
% 82.04/82.45 cnf('0.1216.2.0',plain,
% 82.04/82.45 ( ld(ld(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(ld(X1,X2),mult(X2,X2))) ),
% 82.04/82.45 inference(activate,[status(thm)],['0.1216.1.2']),
% 82.04/82.45 [equation_18]).
% 82.04/82.45 cnf('0.1218.0.0',plain,
% 82.04/82.45 ( ld(X1,ld(ld(X1,X2),unit)) = ld(ld(X1,ld(ld(X1,X2),mult(X2,X2))),unit) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.16.2.0','0.1216.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.1218.1.0',plain,
% 82.04/82.45 ( ld(X1,ld(ld(X1,X2),unit)) = ld(ld(X1,ld(ld(X1,X2),mult(X2,X2))),unit) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1218.0.0']),
% 82.04/82.45 [weight('<227,1216,16,[0,0,0,1]>')]).
% 82.04/82.45 cnf('0.1218.2.0',plain,
% 82.04/82.45 ( ld(ld(X1,ld(ld(X1,X2),mult(X2,X2))),unit) = ld(X1,ld(ld(X1,X2),unit)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1218.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1200]).
% 82.04/82.45 cnf('0.1220.0.0',plain,
% 82.04/82.45 ( ld(ld(X1,X2),ld(ld(ld(X1,X2),X2),unit)) = ld(ld(ld(X1,X2),ld(X1,mult(X2,X2))),unit) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1218.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.2.1','L')]).
% 82.04/82.45 cnf('0.1220.0.1',plain,
% 82.04/82.45 ( ld(ld(X1,X2),ld(X1,unit)) = ld(ld(ld(X1,X2),ld(X1,mult(X2,X2))),unit) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1220.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.1','L')]).
% 82.04/82.45 cnf('0.1220.1.0',plain,
% 82.04/82.45 ( ld(ld(X1,X2),ld(X1,unit)) = ld(ld(ld(X1,X2),ld(X1,mult(X2,X2))),unit) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1220.0.1']),
% 82.04/82.45 [weight('<227,1218,16,[1,0,0,4]>')]).
% 82.04/82.45 cnf('0.1220.2.0',plain,
% 82.04/82.45 ( ld(ld(ld(X1,X2),ld(X1,mult(X2,X2))),unit) = ld(ld(X1,X2),ld(X1,unit)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1220.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1202]).
% 82.04/82.45 cnf('0.1222.0.0',plain,
% 82.04/82.45 ( ld(ld(ld(X1,X2),ld(X1,unit)),unit) = ld(ld(X1,X2),ld(X1,mult(mult(ld(X1,X2),X1),X2))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1208.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2.2','L')]).
% 82.04/82.45 cnf('0.1222.1.0',plain,
% 82.04/82.45 ( ld(ld(ld(X1,X2),ld(X1,unit)),unit) = ld(ld(X1,X2),ld(X1,mult(mult(ld(X1,X2),X1),X2))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1222.0.0']),
% 82.04/82.45 [weight('<321,1208,1,[1,0,0,8]>')]).
% 82.04/82.45 cnf('0.1222.1.1',plain,
% 82.04/82.45 ( ld(ld(ld(X1,X2),ld(X1,unit)),unit) = ld(ld(X1,X2),ld(X1,mult(X2,mult(X1,ld(X1,X2))))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1222.1.0','0.576.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.2','R')]).
% 82.04/82.45 cnf('0.1222.1.2',plain,
% 82.04/82.45 ( ld(ld(ld(X1,X2),ld(X1,unit)),unit) = ld(ld(X1,X2),ld(X1,mult(X2,X2))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1222.1.1','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.2.2','L')]).
% 82.04/82.45 cnf('0.1222.2.0',plain,
% 82.04/82.45 ( ld(ld(ld(X1,X2),ld(X1,unit)),unit) = ld(ld(X1,X2),ld(X1,mult(X2,X2))) ),
% 82.04/82.45 inference(activate,[status(thm)],['0.1222.1.2']),
% 82.04/82.45 [equation_19]).
% 82.04/82.45 cnf('0.1234.0.0',plain,
% 82.04/82.45 ( unit = mult(ld(X1,ld(ld(X1,X2),unit)),ld(X1,ld(ld(X1,X2),mult(X2,X2)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1.2.0','0.1216.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.1234.1.0',plain,
% 82.04/82.45 ( unit = mult(ld(X1,ld(ld(X1,X2),unit)),ld(X1,ld(ld(X1,X2),mult(X2,X2)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1234.0.0']),
% 82.04/82.45 [weight('<341,1216,1,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.1234.2.0',plain,
% 82.04/82.45 ( mult(ld(X1,ld(ld(X1,X2),unit)),ld(X1,ld(ld(X1,X2),mult(X2,X2)))) = unit ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1234.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1215]).
% 82.04/82.45 cnf('0.1236.0.0',plain,
% 82.04/82.45 ( unit = mult(ld(ld(X1,X2),ld(X1,mult(X2,X2))),ld(ld(X1,X2),ld(X1,unit))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1.2.0','0.1220.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.1236.1.0',plain,
% 82.04/82.45 ( unit = mult(ld(ld(X1,X2),ld(X1,mult(X2,X2))),ld(ld(X1,X2),ld(X1,unit))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1236.0.0']),
% 82.04/82.45 [weight('<341,1220,1,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.1236.1.1',plain,
% 82.04/82.45 ( unit = mult(ld(ld(X1,X2),ld(X1,unit)),ld(ld(X1,X2),ld(X1,mult(X2,X2)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1236.1.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('R','L')]).
% 82.04/82.45 cnf('0.1236.2.0',plain,
% 82.04/82.45 ( mult(ld(ld(X1,X2),ld(X1,unit)),ld(ld(X1,X2),ld(X1,mult(X2,X2)))) = unit ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1236.1.1',theory(equality)]),
% 82.04/82.45 [x,rule_1217]).
% 82.04/82.45 cnf('0.1238.0.0',plain,
% 82.04/82.45 ( 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)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.334.2.0','0.214.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.2','L')]).
% 82.04/82.45 cnf('0.1238.0.1',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),ld(X1,X3)))) = mult(mult(ld(X1,unit),X2),mult(ld(X1,unit),X3)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1238.0.0','0.1.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2','L')]).
% 82.04/82.45 cnf('0.1238.1.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),ld(X1,X3)))) = mult(mult(ld(X1,unit),X2),mult(ld(X1,unit),X3)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1238.0.1']),
% 82.04/82.45 [weight('<349,334,214,[1,0,0,8]>')]).
% 82.04/82.45 cnf('0.1238.2.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(ld(X1,X2),ld(X1,X3)))) = mult(mult(ld(X1,unit),X2),mult(ld(X1,unit),X3)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1238.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_1219]).
% 82.04/82.45 cnf('0.1412.0.0',plain,
% 82.04/82.45 ( ld(ld(mult(X1,X2),X1),ld(ld(mult(X1,X2),X1),unit)) = ld(ld(mult(X1,X2),mult(X1,ld(X2,unit))),unit) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.42.2.0','0.812.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1','L')]).
% 82.04/82.45 cnf('0.1412.1.0',plain,
% 82.04/82.45 ( ld(ld(mult(X1,X2),X1),ld(ld(mult(X1,X2),X1),unit)) = ld(ld(mult(X1,X2),mult(X1,ld(X2,unit))),unit) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1412.0.0']),
% 82.04/82.45 [weight('<349,812,42,[0,0,0,1]>')]).
% 82.04/82.45 cnf('0.1412.2.0',plain,
% 82.04/82.45 ( ld(ld(mult(X1,X2),X1),ld(ld(mult(X1,X2),X1),unit)) = ld(ld(mult(X1,X2),mult(X1,ld(X2,unit))),unit) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1412.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_1381]).
% 82.04/82.45 cnf('0.1442.0.0',plain,
% 82.04/82.45 ( mult(ld(X1,unit),mult(ld(ld(X1,unit),unit),mult(X2,ld(ld(X1,unit),X3)))) = mult(mult(ld(X1,unit),mult(X1,X2)),mult(ld(ld(X1,unit),unit),X3)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1168.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.2.1','L')]).
% 82.04/82.45 cnf('0.1442.0.1',plain,
% 82.04/82.45 ( mult(ld(X1,unit),mult(X1,mult(X2,ld(ld(X1,unit),X3)))) = mult(mult(ld(X1,unit),mult(X1,X2)),mult(ld(ld(X1,unit),unit),X3)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1442.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2.1','L')]).
% 82.04/82.45 cnf('0.1442.0.2',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(X2,ld(ld(X1,unit),X3)))) = mult(mult(ld(X1,unit),mult(X1,X2)),mult(ld(ld(X1,unit),unit),X3)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1442.0.1','0.208.2.0',theory(equality)]),
% 82.04/82.45 [pos('L','L')]).
% 82.04/82.45 cnf('0.1442.0.3',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(X2,ld(ld(X1,unit),X3)))) = mult(mult(X1,mult(ld(X1,unit),X2)),mult(ld(ld(X1,unit),unit),X3)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1442.0.2','0.208.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.1','L')]).
% 82.04/82.45 cnf('0.1442.0.4',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(X2,ld(ld(X1,unit),X3)))) = mult(mult(X1,mult(ld(X1,unit),X2)),mult(X1,X3)) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1442.0.3','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.1','L')]).
% 82.04/82.45 cnf('0.1442.1.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(X2,ld(ld(X1,unit),X3)))) = mult(mult(X1,mult(ld(X1,unit),X2)),mult(X1,X3)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1442.0.4']),
% 82.04/82.45 [weight('<349,1168,16,[1,0,0,4]>')]).
% 82.04/82.45 cnf('0.1442.2.0',plain,
% 82.04/82.45 ( mult(X1,mult(ld(X1,unit),mult(X2,ld(ld(X1,unit),X3)))) = mult(mult(X1,mult(ld(X1,unit),X2)),mult(X1,X3)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1442.1.0',theory(equality)]),
% 82.04/82.45 [u,rule_1407]).
% 82.04/82.45 cnf('0.1444.0.0',plain,
% 82.04/82.45 ( mult(ld(X1,unit),mult(ld(ld(X1,unit),X2),X3)) = ld(X1,mult(mult(X1,X2),mult(X1,mult(ld(X1,unit),X3)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.1176.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.1444.1.0',plain,
% 82.04/82.45 ( mult(ld(X1,unit),mult(ld(ld(X1,unit),X2),X3)) = ld(X1,mult(mult(X1,X2),mult(X1,mult(ld(X1,unit),X3)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1444.0.0']),
% 82.04/82.45 [weight('<349,1176,4,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.1444.2.0',plain,
% 82.04/82.45 ( ld(X1,mult(mult(X1,X2),mult(X1,mult(ld(X1,unit),X3)))) = mult(ld(X1,unit),mult(ld(ld(X1,unit),X2),X3)) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1444.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1409]).
% 82.04/82.45 cnf('0.1456.0.0',plain,
% 82.04/82.45 ( ld(ld(ld(X1,ld(X2,unit)),ld(X1,unit)),unit) = ld(ld(X1,ld(X2,unit)),ld(X1,ld(X2,mult(ld(X2,unit),unit)))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1222.2.0','0.214.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.2','L')]).
% 82.04/82.45 cnf('0.1456.0.1',plain,
% 82.04/82.45 ( ld(ld(ld(X1,ld(X2,unit)),ld(X1,unit)),unit) = ld(ld(X1,ld(X2,unit)),ld(X1,ld(X2,ld(X2,unit)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1456.0.0','0.2.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.2.2','L')]).
% 82.04/82.45 cnf('0.1456.1.0',plain,
% 82.04/82.45 ( ld(ld(ld(X1,ld(X2,unit)),ld(X1,unit)),unit) = ld(ld(X1,ld(X2,unit)),ld(X1,ld(X2,ld(X2,unit)))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1456.0.1']),
% 82.04/82.45 [weight('<349,1222,214,[1,1,0,6]>')]).
% 82.04/82.45 cnf('0.1456.2.0',plain,
% 82.04/82.45 ( ld(ld(X1,ld(X2,unit)),ld(X1,ld(X2,ld(X2,unit)))) = ld(ld(ld(X1,ld(X2,unit)),ld(X1,unit)),unit) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1456.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1421]).
% 82.04/82.45 cnf('0.1458.0.0',plain,
% 82.04/82.45 ( mult(ld(X1,unit),mult(ld(X1,X2),ld(X1,X3))) = ld(X1,mult(mult(ld(X1,unit),X2),mult(ld(X1,unit),X3))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.4.2.0','0.1238.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.2','L')]).
% 82.04/82.45 cnf('0.1458.1.0',plain,
% 82.04/82.45 ( mult(ld(X1,unit),mult(ld(X1,X2),ld(X1,X3))) = ld(X1,mult(mult(ld(X1,unit),X2),mult(ld(X1,unit),X3))) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1458.0.0']),
% 82.04/82.45 [weight('<349,1238,4,[0,0,0,2]>')]).
% 82.04/82.45 cnf('0.1458.2.0',plain,
% 82.04/82.45 ( ld(X1,mult(mult(ld(X1,unit),X2),mult(ld(X1,unit),X3))) = mult(ld(X1,unit),mult(ld(X1,X2),ld(X1,X3))) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1458.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1423]).
% 82.04/82.45 cnf('0.1494.0.0',plain,
% 82.04/82.45 ( ld(ld(mult(X1,X2),mult(X1,ld(X2,unit))),unit) = ld(ld(mult(X2,X1),X1),ld(ld(mult(X1,X2),X1),unit)) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1412.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.1','L')]).
% 82.04/82.45 cnf('0.1494.1.0',plain,
% 82.04/82.45 ( ld(ld(mult(X1,X2),mult(X1,ld(X2,unit))),unit) = ld(ld(mult(X2,X1),X1),ld(ld(mult(X1,X2),X1),unit)) ),
% 82.04/82.45 inference(weigh,[status(thm)],['0.1494.0.0']),
% 82.04/82.45 [weight('<349,1412,5,[1,0,0,2]>')]).
% 82.04/82.45 cnf('0.1494.2.0',plain,
% 82.04/82.45 ( ld(ld(mult(X1,X2),X2),ld(ld(mult(X2,X1),X2),unit)) = ld(ld(mult(X2,X1),mult(X2,ld(X1,unit))),unit) ),
% 82.04/82.45 inference(orient,[status(thm)],['0.1494.1.0',theory(equality)]),
% 82.04/82.45 [x,rule_1455]).
% 82.04/82.45 cnf('0.1496.0.0',plain,
% 82.04/82.45 ( unit = mult(ld(ld(mult(X1,X2),X2),ld(ld(ld(mult(X2,X1),mult(X2,ld(X1,unit))),unit),unit)),ld(ld(mult(X1,X2),X2),ld(ld(ld(mult(X1,X2),X2),ld(ld(mult(X2,X1),X2),unit)),mult(ld(ld(mult(X2,X1),X2),unit),ld(ld(mult(X2,X1),X2),unit))))) ),
% 82.04/82.45 inference(cp,[status(thm)],['0.1234.2.0','0.1494.2.0',theory(equality)]),
% 82.04/82.45 [pos('L.1.2.1','L')]).
% 82.04/82.45 cnf('0.1496.0.1',plain,
% 82.04/82.45 ( unit = mult(ld(ld(mult(X1,X2),X2),ld(mult(X2,X1),mult(X2,ld(X1,unit)))),ld(ld(mult(X1,X2),X2),ld(ld(ld(mult(X1,X2),X2),ld(ld(mult(X2,X1),X2),unit)),mult(ld(ld(mult(X2,X1),X2),unit),ld(ld(mult(X2,X1),X2),unit))))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1496.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.1.2','L')]).
% 82.04/82.45 cnf('0.1496.0.2',plain,
% 82.04/82.45 ( unit = mult(ld(mult(X2,X1),X2),ld(ld(mult(X1,X2),X2),ld(ld(ld(mult(X1,X2),X2),ld(ld(mult(X2,X1),X2),unit)),mult(ld(ld(mult(X2,X1),X2),unit),ld(ld(mult(X2,X1),X2),unit))))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1496.0.1','0.964.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.1','L')]).
% 82.04/82.45 cnf('0.1496.0.3',plain,
% 82.04/82.45 ( unit = mult(ld(mult(X2,X1),X2),ld(ld(mult(X1,X2),X2),ld(ld(ld(mult(X2,X1),mult(X2,ld(X1,unit))),unit),mult(ld(ld(mult(X2,X1),X2),unit),ld(ld(mult(X2,X1),X2),unit))))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1496.0.2','0.1494.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.2.1','L')]).
% 82.04/82.45 cnf('0.1496.0.4',plain,
% 82.04/82.45 ( unit = mult(ld(mult(X2,X1),X2),ld(ld(mult(X1,X2),X2),ld(ld(ld(mult(X2,X1),mult(X2,ld(X1,unit))),unit),ld(ld(mult(X2,X1),X2),mult(ld(ld(mult(X2,X1),X2),unit),unit))))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1496.0.3','0.214.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.2.2','L')]).
% 82.04/82.45 cnf('0.1496.0.5',plain,
% 82.04/82.45 ( unit = mult(ld(mult(X2,X1),X2),ld(ld(mult(X1,X2),X2),ld(ld(ld(mult(X2,X1),mult(X2,ld(X1,unit))),unit),ld(ld(mult(X2,X1),X2),ld(ld(mult(X2,X1),X2),unit))))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1496.0.4','0.2.2.0',theory(equality)]),
% 82.04/82.45 [pos('R.2.2.2.2','L')]).
% 82.04/82.45 cnf('0.1496.0.6',plain,
% 82.04/82.45 ( unit = mult(ld(mult(X2,X1),X2),ld(ld(mult(X1,X2),X2),ld(ld(ld(mult(X2,X1),mult(X2,ld(X1,unit))),unit),ld(ld(mult(X2,X1),mult(X2,ld(X1,unit))),unit)))) ),
% 82.04/82.45 inference(reduction,[status(thm)],['0.1496.0.5','0.1412.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.2','L')]).
% 82.04/82.46 cnf('0.1496.0.7',plain,
% 82.04/82.46 ( unit = mult(ld(mult(X2,X1),X2),ld(ld(mult(X1,X2),X2),ld(ld(mult(X2,X1),mult(X2,ld(X1,unit))),ld(ld(ld(mult(X2,X1),mult(X2,ld(X1,unit))),unit),unit)))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1496.0.6','0.222.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2','L')]).
% 82.04/82.46 cnf('0.1496.0.8',plain,
% 82.04/82.46 ( unit = mult(ld(mult(X2,X1),X2),ld(ld(mult(X1,X2),X2),ld(ld(mult(X2,X1),mult(X2,ld(X1,unit))),ld(mult(X2,X1),mult(X2,ld(X1,unit)))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1496.0.7','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.2','L')]).
% 82.04/82.46 cnf('0.1496.0.9',plain,
% 82.04/82.46 ( unit = mult(ld(mult(X2,X1),X2),ld(ld(mult(X1,X2),X2),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1496.0.8','0.12.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2','L')]).
% 82.04/82.46 cnf('0.1496.1.0',plain,
% 82.04/82.46 ( unit = mult(ld(mult(X2,X1),X2),ld(ld(mult(X1,X2),X2),unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1496.0.9']),
% 82.04/82.46 [weight('<209,1494,1234,[0,0,0,4]>')]).
% 82.04/82.46 cnf('0.1496.2.0',plain,
% 82.04/82.46 ( mult(ld(mult(X1,X2),X1),ld(ld(mult(X2,X1),X1),unit)) = unit ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1496.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_1457]).
% 82.04/82.46 cnf('0.1498.0.0',plain,
% 82.04/82.46 ( ld(ld(ld(ld(mult(X1,X2),X2),unit),unit),ld(mult(X2,X1),X2)) = ld(ld(ld(mult(X1,X2),X2),unit),ld(ld(ld(ld(mult(X1,X2),X2),unit),unit),unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.224.2.0','0.1496.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.1498.0.1',plain,
% 82.04/82.46 ( ld(ld(mult(X1,X2),X2),ld(mult(X2,X1),X2)) = ld(ld(ld(mult(X1,X2),X2),unit),ld(ld(ld(ld(mult(X1,X2),X2),unit),unit),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1498.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.1498.0.2',plain,
% 82.04/82.46 ( ld(ld(mult(X1,X2),X2),ld(mult(X2,X1),X2)) = ld(ld(ld(ld(mult(X1,X2),X2),unit),unit),ld(mult(X1,X2),X2)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1498.0.1','0.254.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.1498.0.3',plain,
% 82.04/82.46 ( ld(ld(mult(X1,X2),X2),ld(mult(X2,X1),X2)) = ld(ld(mult(X1,X2),X2),ld(mult(X1,X2),X2)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1498.0.2','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1','L')]).
% 82.04/82.46 cnf('0.1498.0.4',plain,
% 82.04/82.46 ( ld(ld(mult(X1,X2),X2),ld(mult(X2,X1),X2)) = unit ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1498.0.3','0.12.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.1498.1.0',plain,
% 82.04/82.46 ( ld(ld(mult(X1,X2),X2),ld(mult(X2,X1),X2)) = unit ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1498.0.4']),
% 82.04/82.46 [weight('<155,1496,224,[0,0,0,6]>')]).
% 82.04/82.46 cnf('0.1498.2.0',plain,
% 82.04/82.46 ( ld(ld(mult(X1,X2),X2),ld(mult(X2,X1),X2)) = unit ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1498.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_1459]).
% 82.04/82.46 cnf('0.1524.0.0',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X1,ld(mult(X2,X3),X3)),mult(X1,ld(mult(X3,X2),X3)))) = ld(mult(X1,ld(mult(X2,X3),X3)),mult(X1,mult(ld(mult(X2,X3),X3),mult(X1,unit)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.562.2.0','0.1498.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2.2','L')]).
% 82.04/82.46 cnf('0.1524.0.1',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X1,ld(mult(X2,X3),X3)),mult(X1,ld(mult(X3,X2),X3)))) = ld(mult(X1,ld(mult(X2,X3),X3)),mult(X1,mult(ld(mult(X2,X3),X3),X1))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1524.0.0','0.2.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.2','L')]).
% 82.04/82.46 cnf('0.1524.0.2',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X1,ld(mult(X2,X3),X3)),mult(X1,ld(mult(X3,X2),X3)))) = X1 ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1524.0.1','0.578.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.1524.1.0',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X1,ld(mult(X2,X3),X3)),mult(X1,ld(mult(X3,X2),X3)))) = X1 ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1524.0.2']),
% 82.04/82.46 [weight('<341,1498,562,[0,0,0,10]>')]).
% 82.04/82.46 cnf('0.1524.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X1,ld(mult(X2,X3),X3)),mult(X1,ld(mult(X3,X2),X3)))) = X1 ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1524.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_1485]).
% 82.04/82.46 cnf('0.1526.0.0',plain,
% 82.04/82.46 ( ld(mult(X1,ld(mult(X2,X3),X3)),mult(X1,ld(mult(X3,X2),X3))) = ld(X1,X1) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4.2.0','0.1524.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.1526.0.1',plain,
% 82.04/82.46 ( ld(mult(X1,ld(mult(X2,X3),X3)),mult(X1,ld(mult(X3,X2),X3))) = unit ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1526.0.0','0.12.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.1526.1.0',plain,
% 82.04/82.46 ( ld(mult(X1,ld(mult(X2,X3),X3)),mult(X1,ld(mult(X3,X2),X3))) = unit ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1526.0.1']),
% 82.04/82.46 [weight('<271,1524,4,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.1526.2.0',plain,
% 82.04/82.46 ( ld(mult(X1,ld(mult(X2,X3),X3)),mult(X1,ld(mult(X3,X2),X3))) = unit ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1526.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_1487]).
% 82.04/82.46 cnf('0.1528.0.0',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X2,X3),X2)) = mult(mult(ld(mult(X3,X2),X2),X1),unit) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.588.2.0','0.1526.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.1528.0.1',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X2,X3),X2)) = mult(ld(mult(X3,X2),X2),X1) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1528.0.0','0.2.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.1528.1.0',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X2,X3),X2)) = mult(ld(mult(X3,X2),X2),X1) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1528.0.1']),
% 82.04/82.46 [weight('<224,1526,588,[0,0,0,4]>')]).
% 82.04/82.46 cnf('0.1528.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X2,X3),X2)) = mult(ld(mult(X3,X2),X2),X1) ),
% 82.04/82.46 inference(activate,[status(thm)],['0.1528.1.0']),
% 82.04/82.46 [equation_40]).
% 82.04/82.46 cnf('0.1530.0.0',plain,
% 82.04/82.46 ( X1 = ld(ld(mult(X2,X3),X3),mult(X1,ld(mult(X3,X2),X3))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4.2.0','0.1528.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','R')]).
% 82.04/82.46 cnf('0.1530.1.0',plain,
% 82.04/82.46 ( X1 = ld(ld(mult(X2,X3),X3),mult(X1,ld(mult(X3,X2),X3))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1530.0.0']),
% 82.04/82.46 [weight('<209,1528,4,[0,1,0,2]>')]).
% 82.04/82.46 cnf('0.1530.2.0',plain,
% 82.04/82.46 ( ld(ld(mult(X1,X2),X2),mult(X3,ld(mult(X2,X1),X2))) = X3 ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1530.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_1490]).
% 82.04/82.46 cnf('0.1614.0.0',plain,
% 82.04/82.46 ( X1 = ld(ld(mult(mult(X2,X3),X4),X4),mult(X1,ld(mult(mult(X3,X2),X4),X4))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1530.2.0','0.576.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.1','L')]).
% 82.04/82.46 cnf('0.1614.1.0',plain,
% 82.04/82.46 ( X1 = ld(ld(mult(mult(X2,X3),X4),X4),mult(X1,ld(mult(mult(X3,X2),X4),X4))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1614.0.0']),
% 82.04/82.46 [weight('<341,1530,576,[1,0,0,9]>')]).
% 82.04/82.46 cnf('0.1614.2.0',plain,
% 82.04/82.46 ( ld(ld(mult(mult(X1,X2),X3),X3),mult(X4,ld(mult(mult(X2,X1),X3),X3))) = X4 ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1614.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_1573]).
% 82.04/82.46 cnf('0.1620.0.0',plain,
% 82.04/82.46 ( X1 = ld(ld(mult(mult(X2,X3),mult(X3,X2)),mult(X3,X2)),mult(ld(mult(mult(X3,X2),mult(X3,X2)),mult(X3,X2)),X1)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1614.2.0','0.1528.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.1620.0.1',plain,
% 82.04/82.46 ( X1 = ld(ld(mult(X2,X3),unit),mult(ld(mult(mult(X3,X2),mult(X3,X2)),mult(X3,X2)),X1)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1620.0.0','0.474.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1','L')]).
% 82.04/82.46 cnf('0.1620.0.2',plain,
% 82.04/82.46 ( X1 = ld(ld(mult(X2,X3),unit),mult(ld(mult(X3,X2),unit),X1)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1620.0.1','0.28.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.1','L')]).
% 82.04/82.46 cnf('0.1620.1.0',plain,
% 82.04/82.46 ( X1 = ld(ld(mult(X2,X3),unit),mult(ld(mult(X3,X2),unit),X1)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1620.0.2']),
% 82.04/82.46 [weight('<209,1614,1528,[1,0,0,8]>')]).
% 82.04/82.46 cnf('0.1620.2.0',plain,
% 82.04/82.46 ( ld(ld(mult(X1,X2),unit),mult(ld(mult(X2,X1),unit),X3)) = X3 ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1620.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_1579]).
% 82.04/82.46 cnf('0.1622.0.0',plain,
% 82.04/82.46 ( unit = mult(ld(ld(ld(mult(X1,X2),unit),mult(ld(mult(X2,X1),unit),X3)),ld(ld(mult(X1,X2),unit),unit)),ld(X3,ld(ld(mult(X1,X2),unit),mult(mult(ld(mult(X2,X1),unit),X3),mult(ld(mult(X2,X1),unit),X3))))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1236.2.0','0.1620.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1','L')]).
% 82.04/82.46 cnf('0.1622.0.1',plain,
% 82.04/82.46 ( unit = mult(ld(X3,ld(ld(mult(X1,X2),unit),unit)),ld(X3,ld(ld(mult(X1,X2),unit),mult(mult(ld(mult(X2,X1),unit),X3),mult(ld(mult(X2,X1),unit),X3))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1622.0.0','0.1620.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1.1','L')]).
% 82.04/82.46 cnf('0.1622.0.2',plain,
% 82.04/82.46 ( unit = mult(ld(X3,mult(X1,X2)),ld(X3,ld(ld(mult(X1,X2),unit),mult(mult(ld(mult(X2,X1),unit),X3),mult(ld(mult(X2,X1),unit),X3))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1622.0.1','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1.2','L')]).
% 82.04/82.46 cnf('0.1622.0.3',plain,
% 82.04/82.46 ( unit = mult(ld(X3,mult(X1,X2)),ld(X3,ld(ld(mult(X1,X2),unit),mult(ld(mult(X2,X1),unit),mult(X3,ld(ld(X3,mult(X2,X1)),unit)))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1622.0.2','0.1180.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.2','L')]).
% 82.04/82.46 cnf('0.1622.0.4',plain,
% 82.04/82.46 ( unit = mult(ld(X3,mult(X1,X2)),ld(X3,mult(X3,ld(ld(X3,mult(X2,X1)),unit)))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1622.0.3','0.1620.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2','L')]).
% 82.04/82.46 cnf('0.1622.0.5',plain,
% 82.04/82.46 ( unit = mult(ld(X3,mult(X1,X2)),ld(ld(X3,mult(X2,X1)),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1622.0.4','0.4.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2','L')]).
% 82.04/82.46 cnf('0.1622.1.0',plain,
% 82.04/82.46 ( unit = mult(ld(X3,mult(X1,X2)),ld(ld(X3,mult(X2,X1)),unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1622.0.5']),
% 82.04/82.46 [weight('<209,1620,1236,[0,0,0,9]>')]).
% 82.04/82.46 cnf('0.1622.2.0',plain,
% 82.04/82.46 ( mult(ld(X1,mult(X2,X3)),ld(ld(X1,mult(X3,X2)),unit)) = unit ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1622.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_1581]).
% 82.04/82.46 cnf('0.1624.0.0',plain,
% 82.04/82.46 ( ld(ld(ld(ld(X1,mult(X2,X3)),unit),unit),ld(X1,mult(X3,X2))) = ld(ld(ld(X1,mult(X2,X3)),unit),ld(ld(ld(ld(X1,mult(X2,X3)),unit),unit),unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.224.2.0','0.1622.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.1624.0.1',plain,
% 82.04/82.46 ( ld(ld(X1,mult(X2,X3)),ld(X1,mult(X3,X2))) = ld(ld(ld(X1,mult(X2,X3)),unit),ld(ld(ld(ld(X1,mult(X2,X3)),unit),unit),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1624.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.1624.0.2',plain,
% 82.04/82.46 ( ld(ld(X1,mult(X2,X3)),ld(X1,mult(X3,X2))) = ld(ld(ld(ld(X1,mult(X2,X3)),unit),unit),ld(X1,mult(X2,X3))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1624.0.1','0.254.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.1624.0.3',plain,
% 82.04/82.46 ( ld(ld(X1,mult(X2,X3)),ld(X1,mult(X3,X2))) = ld(ld(X1,mult(X2,X3)),ld(X1,mult(X2,X3))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1624.0.2','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1','L')]).
% 82.04/82.46 cnf('0.1624.0.4',plain,
% 82.04/82.46 ( ld(ld(X1,mult(X2,X3)),ld(X1,mult(X3,X2))) = unit ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1624.0.3','0.12.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.1624.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,mult(X2,X3)),ld(X1,mult(X3,X2))) = unit ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1624.0.4']),
% 82.04/82.46 [weight('<155,1622,224,[0,0,0,6]>')]).
% 82.04/82.46 cnf('0.1624.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,mult(X2,X3)),ld(X1,mult(X3,X2))) = unit ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1624.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_1583]).
% 82.04/82.46 cnf('0.1638.0.0',plain,
% 82.04/82.46 ( unit = ld(ld(mult(X1,X2),mult(X1,X3)),ld(mult(X2,X1),mult(X1,X3))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1624.2.0','0.860.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','R')]).
% 82.04/82.46 cnf('0.1638.1.0',plain,
% 82.04/82.46 ( unit = ld(ld(mult(X1,X2),mult(X1,X3)),ld(mult(X2,X1),mult(X1,X3))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1638.0.0']),
% 82.04/82.46 [weight('<271,1624,860,[1,0,1,1]>')]).
% 82.04/82.46 cnf('0.1638.2.0',plain,
% 82.04/82.46 ( ld(ld(mult(X1,X2),mult(X1,X3)),ld(mult(X2,X1),mult(X1,X3))) = unit ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1638.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_1596]).
% 82.04/82.46 cnf('0.1640.0.0',plain,
% 82.04/82.46 ( unit = ld(ld(mult(X1,X2),X3),ld(mult(X2,X1),mult(X1,ld(X1,X3)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1638.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.2','L')]).
% 82.04/82.46 cnf('0.1640.0.1',plain,
% 82.04/82.46 ( unit = ld(ld(mult(X1,X2),X3),ld(mult(X2,X1),X3)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1640.0.0','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2','L')]).
% 82.04/82.46 cnf('0.1640.1.0',plain,
% 82.04/82.46 ( unit = ld(ld(mult(X1,X2),X3),ld(mult(X2,X1),X3)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1640.0.1']),
% 82.04/82.46 [weight('<155,1638,1,[1,0,0,5]>')]).
% 82.04/82.46 cnf('0.1640.2.0',plain,
% 82.04/82.46 ( ld(ld(mult(X1,X2),X3),ld(mult(X2,X1),X3)) = unit ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1640.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_1598]).
% 82.04/82.46 cnf('0.1752.0.0',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X1,ld(X2,mult(X3,X4))),mult(X1,ld(X2,mult(X4,X3))))) = ld(mult(X1,ld(X2,mult(X3,X4))),mult(X1,mult(ld(X2,mult(X3,X4)),mult(X1,unit)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.562.2.0','0.1624.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2.2','L')]).
% 82.04/82.46 cnf('0.1752.0.1',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X1,ld(X2,mult(X3,X4))),mult(X1,ld(X2,mult(X4,X3))))) = ld(mult(X1,ld(X2,mult(X3,X4))),mult(X1,mult(ld(X2,mult(X3,X4)),X1))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1752.0.0','0.2.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.2','L')]).
% 82.04/82.46 cnf('0.1752.0.2',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X1,ld(X2,mult(X3,X4))),mult(X1,ld(X2,mult(X4,X3))))) = X1 ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1752.0.1','0.578.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.1752.1.0',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X1,ld(X2,mult(X3,X4))),mult(X1,ld(X2,mult(X4,X3))))) = X1 ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1752.0.2']),
% 82.04/82.46 [weight('<341,1624,562,[0,0,0,10]>')]).
% 82.04/82.46 cnf('0.1752.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X1,ld(X2,mult(X3,X4))),mult(X1,ld(X2,mult(X4,X3))))) = X1 ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1752.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_1709]).
% 82.04/82.46 cnf('0.1754.0.0',plain,
% 82.04/82.46 ( ld(mult(X1,ld(X2,mult(X3,X4))),mult(X1,ld(X2,mult(X4,X3)))) = ld(X1,X1) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4.2.0','0.1752.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.1754.0.1',plain,
% 82.04/82.46 ( ld(mult(X1,ld(X2,mult(X3,X4))),mult(X1,ld(X2,mult(X4,X3)))) = unit ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1754.0.0','0.12.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.1754.1.0',plain,
% 82.04/82.46 ( ld(mult(X1,ld(X2,mult(X3,X4))),mult(X1,ld(X2,mult(X4,X3)))) = unit ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1754.0.1']),
% 82.04/82.46 [weight('<271,1752,4,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.1754.2.0',plain,
% 82.04/82.46 ( ld(mult(X1,ld(X2,mult(X3,X4))),mult(X1,ld(X2,mult(X4,X3)))) = unit ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1754.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_1711]).
% 82.04/82.46 cnf('0.1756.0.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,mult(X3,X4))) = mult(mult(ld(X2,mult(X4,X3)),X1),unit) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.588.2.0','0.1754.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.1756.0.1',plain,
% 82.04/82.46 ( mult(X1,ld(X2,mult(X3,X4))) = mult(ld(X2,mult(X4,X3)),X1) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1756.0.0','0.2.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.1756.1.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,mult(X3,X4))) = mult(ld(X2,mult(X4,X3)),X1) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1756.0.1']),
% 82.04/82.46 [weight('<224,1754,588,[0,0,0,4]>')]).
% 82.04/82.46 cnf('0.1756.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,mult(X3,X4))) = mult(ld(X2,mult(X4,X3)),X1) ),
% 82.04/82.46 inference(activate,[status(thm)],['0.1756.1.0']),
% 82.04/82.46 [equation_44]).
% 82.04/82.46 cnf('0.1792.0.0',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X1,ld(mult(X2,X3),X4)),mult(X1,ld(mult(X3,X2),X4)))) = ld(mult(X1,ld(mult(X2,X3),X4)),mult(X1,mult(ld(mult(X2,X3),X4),mult(X1,unit)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.562.2.0','0.1640.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2.2','L')]).
% 82.04/82.46 cnf('0.1792.0.1',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X1,ld(mult(X2,X3),X4)),mult(X1,ld(mult(X3,X2),X4)))) = ld(mult(X1,ld(mult(X2,X3),X4)),mult(X1,mult(ld(mult(X2,X3),X4),X1))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1792.0.0','0.2.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.2','L')]).
% 82.04/82.46 cnf('0.1792.0.2',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X1,ld(mult(X2,X3),X4)),mult(X1,ld(mult(X3,X2),X4)))) = X1 ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1792.0.1','0.578.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.1792.1.0',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X1,ld(mult(X2,X3),X4)),mult(X1,ld(mult(X3,X2),X4)))) = X1 ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1792.0.2']),
% 82.04/82.46 [weight('<341,1640,562,[0,0,0,10]>')]).
% 82.04/82.46 cnf('0.1792.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X1,ld(mult(X2,X3),X4)),mult(X1,ld(mult(X3,X2),X4)))) = X1 ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1792.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_1747]).
% 82.04/82.46 cnf('0.1794.0.0',plain,
% 82.04/82.46 ( ld(mult(X1,ld(mult(X2,X3),X4)),mult(X1,ld(mult(X3,X2),X4))) = ld(X1,X1) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4.2.0','0.1792.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.1794.0.1',plain,
% 82.04/82.46 ( ld(mult(X1,ld(mult(X2,X3),X4)),mult(X1,ld(mult(X3,X2),X4))) = unit ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1794.0.0','0.12.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.1794.1.0',plain,
% 82.04/82.46 ( ld(mult(X1,ld(mult(X2,X3),X4)),mult(X1,ld(mult(X3,X2),X4))) = unit ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1794.0.1']),
% 82.04/82.46 [weight('<271,1792,4,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.1794.2.0',plain,
% 82.04/82.46 ( ld(mult(X1,ld(mult(X2,X3),X4)),mult(X1,ld(mult(X3,X2),X4))) = unit ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1794.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_1749]).
% 82.04/82.46 cnf('0.1796.0.0',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X2,X3),X4)) = mult(mult(ld(mult(X3,X2),X4),X1),unit) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.588.2.0','0.1794.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.1796.0.1',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X2,X3),X4)) = mult(ld(mult(X3,X2),X4),X1) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.1796.0.0','0.2.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.1796.1.0',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X2,X3),X4)) = mult(ld(mult(X3,X2),X4),X1) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1796.0.1']),
% 82.04/82.46 [weight('<224,1794,588,[0,0,0,4]>')]).
% 82.04/82.46 cnf('0.1796.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(mult(X2,X3),X4)) = mult(ld(mult(X3,X2),X4),X1) ),
% 82.04/82.46 inference(activate,[status(thm)],['0.1796.1.0']),
% 82.04/82.46 [equation_46]).
% 82.04/82.46 cnf('0.1800.0.0',plain,
% 82.04/82.46 ( X1 = ld(ld(mult(X2,X3),X4),mult(ld(mult(X3,X2),X4),X1)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.14.2.0','0.1796.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.1800.1.0',plain,
% 82.04/82.46 ( X1 = ld(ld(mult(X2,X3),X4),mult(ld(mult(X3,X2),X4),X1)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1800.0.0']),
% 82.04/82.46 [weight('<209,1796,14,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.1800.2.0',plain,
% 82.04/82.46 ( ld(ld(mult(X1,X2),X3),mult(ld(mult(X2,X1),X3),X4)) = X4 ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1800.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_1754]).
% 82.04/82.46 cnf('0.1855.0.0',plain,
% 82.04/82.46 ( false = eq(ld(mult(X1,X2),mult(X1,mult(X3,ld(ld(X3,X2),unit)))),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.15.2.0','0.776.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.2.2','L')]).
% 82.04/82.46 cnf('0.1855.1.0',plain,
% 82.04/82.46 ( false = eq(ld(mult(X1,X2),mult(X1,mult(X3,ld(ld(X3,X2),unit)))),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1855.0.0']),
% 82.04/82.46 [weight('<120,776,15,[0,0,0,7]>')]).
% 82.04/82.46 cnf('0.1855.2.0',plain,
% 82.04/82.46 ( eq(ld(mult(X1,X2),mult(X1,mult(X3,ld(ld(X3,X2),unit)))),mult(mult(op_b,op_b),mult(op_a,op_a))) = false ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1855.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_1809]).
% 82.04/82.46 cnf('0.1899.0.0',plain,
% 82.04/82.46 ( false = eq(ld(mult(X1,mult(X2,X3)),mult(X1,mult(X2,ld(X3,unit)))),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1855.2.0','0.4.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.2.2.2.1','L')]).
% 82.04/82.46 cnf('0.1899.1.0',plain,
% 82.04/82.46 ( false = eq(ld(mult(X1,mult(X2,X3)),mult(X1,mult(X2,ld(X3,unit)))),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1899.0.0']),
% 82.04/82.46 [weight('<100,1855,4,[1,0,0,10]>')]).
% 82.04/82.46 cnf('0.1899.2.0',plain,
% 82.04/82.46 ( eq(ld(mult(X1,mult(X2,X3)),mult(X1,mult(X2,ld(X3,unit)))),mult(mult(op_b,op_b),mult(op_a,op_a))) = false ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1899.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_1844]).
% 82.04/82.46 cnf('0.1941.0.0',plain,
% 82.04/82.46 ( false = eq(ld(mult(X1,mult(X2,X3)),mult(X1,mult(ld(X3,unit),X2))),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1899.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.2.2','L')]).
% 82.04/82.46 cnf('0.1941.1.0',plain,
% 82.04/82.46 ( false = eq(ld(mult(X1,mult(X2,X3)),mult(X1,mult(ld(X3,unit),X2))),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.1941.0.0']),
% 82.04/82.46 [weight('<100,1899,5,[1,0,0,9]>')]).
% 82.04/82.46 cnf('0.1941.2.0',plain,
% 82.04/82.46 ( eq(ld(mult(X1,mult(X2,X3)),mult(X1,mult(ld(X3,unit),X2))),mult(mult(op_b,op_b),mult(op_a,op_a))) = false ),
% 82.04/82.46 inference(orient,[status(thm)],['0.1941.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_1877]).
% 82.04/82.46 cnf('0.2001.0.0',plain,
% 82.04/82.46 ( false = eq(ld(mult(mult(X1,X2),X3),mult(X3,mult(ld(X1,unit),X2))),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1941.2.0','0.576.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.1','L')]).
% 82.04/82.46 cnf('0.2001.1.0',plain,
% 82.04/82.46 ( false = eq(ld(mult(mult(X1,X2),X3),mult(X3,mult(ld(X1,unit),X2))),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2001.0.0']),
% 82.04/82.46 [weight('<100,1941,576,[1,0,0,2]>')]).
% 82.04/82.46 cnf('0.2001.2.0',plain,
% 82.04/82.46 ( eq(ld(mult(mult(X1,X2),X3),mult(X3,mult(ld(X1,unit),X2))),mult(mult(op_b,op_b),mult(op_a,op_a))) = false ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2001.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_1935]).
% 82.04/82.46 cnf('0.2077.0.0',plain,
% 82.04/82.46 ( false = eq(ld(mult(mult(X1,ld(ld(X1,unit),X2)),X3),mult(X3,X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2001.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.2.2','L')]).
% 82.04/82.46 cnf('0.2077.0.1',plain,
% 82.04/82.46 ( false = eq(ld(mult(ld(ld(X1,unit),mult(X1,X2)),X3),mult(X3,X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2077.0.0','0.218.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1.1.1','L')]).
% 82.04/82.46 cnf('0.2077.1.0',plain,
% 82.04/82.46 ( false = eq(ld(mult(ld(ld(X1,unit),mult(X1,X2)),X3),mult(X3,X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2077.0.1']),
% 82.04/82.46 [weight('<100,2001,1,[1,0,0,9]>')]).
% 82.04/82.46 cnf('0.2077.2.0',plain,
% 82.04/82.46 ( eq(ld(mult(ld(ld(X1,unit),mult(X1,X2)),X3),mult(X3,X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) = false ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2077.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2008]).
% 82.04/82.46 cnf('0.2078.0.0',plain,
% 82.04/82.46 ( mult(ld(X1,unit),mult(X2,ld(ld(X1,unit),X3))) = ld(X1,mult(mult(X1,mult(ld(X1,unit),X2)),mult(X1,X3))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4.2.0','0.1442.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2078.1.0',plain,
% 82.04/82.46 ( mult(ld(X1,unit),mult(X2,ld(ld(X1,unit),X3))) = ld(X1,mult(mult(X1,mult(ld(X1,unit),X2)),mult(X1,X3))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2078.0.0']),
% 82.04/82.46 [weight('<349,1442,4,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2078.2.0',plain,
% 82.04/82.46 ( ld(X1,mult(mult(X1,mult(ld(X1,unit),X2)),mult(X1,X3))) = mult(ld(X1,unit),mult(X2,ld(ld(X1,unit),X3))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2078.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2009]).
% 82.04/82.46 cnf('0.2080.0.0',plain,
% 82.04/82.46 ( mult(ld(X1,unit),mult(ld(ld(X1,unit),ld(X1,X2)),X3)) = ld(X1,mult(X2,mult(X1,mult(ld(X1,unit),X3)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1444.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1','L')]).
% 82.04/82.46 cnf('0.2080.0.1',plain,
% 82.04/82.46 ( mult(ld(X1,unit),mult(ld(X1,ld(ld(X1,unit),X2)),X3)) = ld(X1,mult(X2,mult(X1,mult(ld(X1,unit),X3)))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2080.0.0','0.222.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1','L')]).
% 82.04/82.46 cnf('0.2080.1.0',plain,
% 82.04/82.46 ( mult(ld(X1,unit),mult(ld(X1,ld(ld(X1,unit),X2)),X3)) = ld(X1,mult(X2,mult(X1,mult(ld(X1,unit),X3)))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2080.0.1']),
% 82.04/82.46 [weight('<349,1444,1,[1,0,0,3]>')]).
% 82.04/82.46 cnf('0.2080.2.0',plain,
% 82.04/82.46 ( mult(ld(X1,unit),mult(ld(X1,ld(ld(X1,unit),X2)),X3)) = ld(X1,mult(X2,mult(X1,mult(ld(X1,unit),X3)))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2080.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2011]).
% 82.04/82.46 cnf('0.2100.0.0',plain,
% 82.04/82.46 ( 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))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1458.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1.1','L')]).
% 82.04/82.46 cnf('0.2100.0.1',plain,
% 82.04/82.46 ( 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))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2100.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2100.0.2',plain,
% 82.04/82.46 ( mult(X1,mult(ld(ld(X1,unit),X2),ld(ld(X1,unit),X3))) = ld(ld(X1,unit),mult(mult(X1,X2),mult(X1,X3))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2100.0.1','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.1','L')]).
% 82.04/82.46 cnf('0.2100.1.0',plain,
% 82.04/82.46 ( mult(X1,mult(ld(ld(X1,unit),X2),ld(ld(X1,unit),X3))) = ld(ld(X1,unit),mult(mult(X1,X2),mult(X1,X3))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2100.0.2']),
% 82.04/82.46 [weight('<349,1458,16,[1,0,0,4]>')]).
% 82.04/82.46 cnf('0.2100.2.0',plain,
% 82.04/82.46 ( mult(X1,mult(ld(ld(X1,unit),X2),ld(ld(X1,unit),X3))) = ld(ld(X1,unit),mult(mult(X1,X2),mult(X1,X3))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2100.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2031]).
% 82.04/82.46 cnf('0.2114.0.0',plain,
% 82.04/82.46 ( mult(ld(X1,unit),mult(X2,ld(ld(X1,unit),ld(X1,X3)))) = ld(X1,mult(mult(X1,mult(ld(X1,unit),X2)),X3)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2078.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.2114.0.1',plain,
% 82.04/82.46 ( mult(ld(X1,unit),mult(X2,ld(X1,ld(ld(X1,unit),X3)))) = ld(X1,mult(mult(X1,mult(ld(X1,unit),X2)),X3)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2114.0.0','0.222.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.2114.1.0',plain,
% 82.04/82.46 ( mult(ld(X1,unit),mult(X2,ld(X1,ld(ld(X1,unit),X3)))) = ld(X1,mult(mult(X1,mult(ld(X1,unit),X2)),X3)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2114.0.1']),
% 82.04/82.46 [weight('<349,2078,1,[1,0,0,10]>')]).
% 82.04/82.46 cnf('0.2114.2.0',plain,
% 82.04/82.46 ( mult(ld(X1,unit),mult(X2,ld(X1,ld(ld(X1,unit),X3)))) = ld(X1,mult(mult(X1,mult(ld(X1,unit),X2)),X3)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2114.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2044]).
% 82.04/82.46 cnf('0.2118.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(X2,mult(ld(X1,unit),mult(ld(ld(X1,unit),unit),X3)))) = mult(X1,mult(ld(ld(X1,unit),ld(ld(ld(X1,unit),unit),X2)),X3)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2080.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2118.0.1',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(X2,mult(ld(X1,unit),mult(X1,X3)))) = mult(X1,mult(ld(ld(X1,unit),ld(ld(ld(X1,unit),unit),X2)),X3)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2118.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2.1','L')]).
% 82.04/82.46 cnf('0.2118.0.2',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(X2,mult(X1,mult(ld(X1,unit),X3)))) = mult(X1,mult(ld(ld(X1,unit),ld(ld(ld(X1,unit),unit),X2)),X3)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2118.0.1','0.208.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.2118.0.3',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(X2,mult(X1,mult(ld(X1,unit),X3)))) = mult(X1,mult(ld(ld(X1,unit),ld(X1,X2)),X3)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2118.0.2','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.1.2.1','L')]).
% 82.04/82.46 cnf('0.2118.0.4',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(X2,mult(X1,mult(ld(X1,unit),X3)))) = mult(X1,mult(ld(X1,ld(ld(X1,unit),X2)),X3)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2118.0.3','0.222.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.1','L')]).
% 82.04/82.46 cnf('0.2118.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(X2,mult(X1,mult(ld(X1,unit),X3)))) = mult(X1,mult(ld(X1,ld(ld(X1,unit),X2)),X3)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2118.0.4']),
% 82.04/82.46 [weight('<349,2080,16,[1,0,0,1]>')]).
% 82.04/82.46 cnf('0.2118.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(X2,mult(X1,mult(ld(X1,unit),X3)))) = mult(X1,mult(ld(X1,ld(ld(X1,unit),X2)),X3)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2118.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2048]).
% 82.04/82.46 cnf('0.2126.0.0',plain,
% 82.04/82.46 ( mult(ld(ld(X1,unit),X2),ld(ld(X1,unit),X3)) = ld(X1,ld(ld(X1,unit),mult(mult(X1,X2),mult(X1,X3)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4.2.0','0.2100.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2126.1.0',plain,
% 82.04/82.46 ( mult(ld(ld(X1,unit),X2),ld(ld(X1,unit),X3)) = ld(X1,ld(ld(X1,unit),mult(mult(X1,X2),mult(X1,X3)))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2126.0.0']),
% 82.04/82.46 [weight('<349,2100,4,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2126.2.0',plain,
% 82.04/82.46 ( ld(X1,ld(ld(X1,unit),mult(mult(X1,X2),mult(X1,X3)))) = mult(ld(ld(X1,unit),X2),ld(ld(X1,unit),X3)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2126.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2056]).
% 82.04/82.46 cnf('0.2130.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(mult(X1,X2),mult(X1,ld(ld(ld(X1,unit),unit),mult(X3,ld(X1,unit)))))) = mult(X1,mult(ld(ld(X1,unit),X2),ld(ld(ld(X1,unit),unit),X3))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2100.2.0','0.224.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.2130.0.1',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(mult(X1,X2),mult(X1,ld(X1,mult(X3,ld(X1,unit)))))) = mult(X1,mult(ld(ld(X1,unit),X2),ld(ld(ld(X1,unit),unit),X3))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2130.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2.1','L')]).
% 82.04/82.46 cnf('0.2130.0.2',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(mult(X1,X2),mult(X3,ld(X1,unit)))) = mult(X1,mult(ld(ld(X1,unit),X2),ld(ld(ld(X1,unit),unit),X3))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2130.0.1','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.2130.0.3',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(mult(X1,X2),mult(X3,ld(X1,unit)))) = mult(X1,mult(ld(ld(X1,unit),X2),ld(X1,X3))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2130.0.2','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.1','L')]).
% 82.04/82.46 cnf('0.2130.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(mult(X1,X2),mult(X3,ld(X1,unit)))) = mult(X1,mult(ld(ld(X1,unit),X2),ld(X1,X3))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2130.0.3']),
% 82.04/82.46 [weight('<349,2100,224,[1,0,0,8]>')]).
% 82.04/82.46 cnf('0.2130.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(mult(X1,X2),mult(X3,ld(X1,unit)))) = mult(X1,mult(ld(ld(X1,unit),X2),ld(X1,X3))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2130.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2060]).
% 82.04/82.46 cnf('0.2134.0.0',plain,
% 82.04/82.46 ( mult(ld(ld(X1,unit),unit),mult(ld(X1,ld(ld(X1,unit),X2)),ld(ld(ld(X1,unit),unit),X3))) = ld(ld(X1,unit),mult(ld(X1,mult(mult(X1,mult(ld(X1,unit),ld(ld(X1,unit),unit))),X2)),mult(ld(X1,unit),X3))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2078.2.0','0.2114.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1','L')]).
% 82.04/82.46 cnf('0.2134.0.1',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,ld(ld(X1,unit),X2)),ld(ld(ld(X1,unit),unit),X3))) = ld(ld(X1,unit),mult(ld(X1,mult(mult(X1,mult(ld(X1,unit),ld(ld(X1,unit),unit))),X2)),mult(ld(X1,unit),X3))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2134.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2134.0.2',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,ld(ld(X1,unit),X2)),ld(X1,X3))) = ld(ld(X1,unit),mult(ld(X1,mult(mult(X1,mult(ld(X1,unit),ld(ld(X1,unit),unit))),X2)),mult(ld(X1,unit),X3))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2134.0.1','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.1','L')]).
% 82.04/82.46 cnf('0.2134.0.3',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,ld(ld(X1,unit),X2)),ld(X1,X3))) = ld(ld(X1,unit),mult(ld(X1,mult(mult(X1,unit),X2)),mult(ld(X1,unit),X3))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2134.0.2','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.1.2.1.2','L')]).
% 82.04/82.46 cnf('0.2134.0.4',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,ld(ld(X1,unit),X2)),ld(X1,X3))) = ld(ld(X1,unit),mult(ld(X1,mult(X1,X2)),mult(ld(X1,unit),X3))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2134.0.3','0.2.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.1.2.1','L')]).
% 82.04/82.46 cnf('0.2134.0.5',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,ld(ld(X1,unit),X2)),ld(X1,X3))) = ld(ld(X1,unit),mult(X2,mult(ld(X1,unit),X3))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2134.0.4','0.4.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.1','L')]).
% 82.04/82.46 cnf('0.2134.1.0',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,ld(ld(X1,unit),X2)),ld(X1,X3))) = ld(ld(X1,unit),mult(X2,mult(ld(X1,unit),X3))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2134.0.5']),
% 82.04/82.46 [weight('<349,2114,2078,[0,0,0,3]>')]).
% 82.04/82.46 cnf('0.2134.2.0',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,ld(ld(X1,unit),X2)),ld(X1,X3))) = ld(ld(X1,unit),mult(X2,mult(ld(X1,unit),X3))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2134.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2064]).
% 82.04/82.46 cnf('0.2152.0.0',plain,
% 82.04/82.46 ( mult(ld(ld(X1,unit),X2),ld(ld(X1,unit),ld(X1,X3))) = ld(X1,ld(ld(X1,unit),mult(mult(X1,X2),X3))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2126.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2','L')]).
% 82.04/82.46 cnf('0.2152.0.1',plain,
% 82.04/82.46 ( mult(ld(ld(X1,unit),X2),ld(X1,ld(ld(X1,unit),X3))) = ld(X1,ld(ld(X1,unit),mult(mult(X1,X2),X3))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2152.0.0','0.222.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2152.1.0',plain,
% 82.04/82.46 ( mult(ld(ld(X1,unit),X2),ld(X1,ld(ld(X1,unit),X3))) = ld(X1,ld(ld(X1,unit),mult(mult(X1,X2),X3))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2152.0.1']),
% 82.04/82.46 [weight('<349,2126,1,[1,0,0,10]>')]).
% 82.04/82.46 cnf('0.2152.2.0',plain,
% 82.04/82.46 ( mult(ld(ld(X1,unit),X2),ld(X1,ld(ld(X1,unit),X3))) = ld(X1,ld(ld(X1,unit),mult(mult(X1,X2),X3))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2152.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2082]).
% 82.04/82.46 cnf('0.2160.0.0',plain,
% 82.04/82.46 ( mult(ld(X1,ld(ld(X1,unit),X2)),ld(X1,X3)) = ld(X1,ld(ld(X1,unit),mult(X2,mult(ld(X1,unit),X3)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4.2.0','0.2134.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2160.1.0',plain,
% 82.04/82.46 ( mult(ld(X1,ld(ld(X1,unit),X2)),ld(X1,X3)) = ld(X1,ld(ld(X1,unit),mult(X2,mult(ld(X1,unit),X3)))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2160.0.0']),
% 82.04/82.46 [weight('<349,2134,4,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2160.2.0',plain,
% 82.04/82.46 ( ld(X1,ld(ld(X1,unit),mult(X2,mult(ld(X1,unit),X3)))) = mult(ld(X1,ld(ld(X1,unit),X2)),ld(X1,X3)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2160.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2090]).
% 82.04/82.46 cnf('0.2208.0.0',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X1,ld(X2,unit)),unit)) = ld(X2,mult(mult(X2,X1),mult(X2,X1))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4.2.0','0.1178.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2208.1.0',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X1,ld(X2,unit)),unit)) = ld(X2,mult(mult(X2,X1),mult(X2,X1))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2208.0.0']),
% 82.04/82.46 [weight('<360,1178,4,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2208.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X1,ld(X2,unit)),unit)) = ld(X2,mult(mult(X2,X1),mult(X2,X1))) ),
% 82.04/82.46 inference(activate,[status(thm)],['0.2208.1.0']),
% 82.04/82.46 [equation_92]).
% 82.04/82.46 cnf('0.2300.0.0',plain,
% 82.04/82.46 ( ld(X1,mult(X2,mult(ld(X2,X1),mult(X2,ld(ld(X2,X1),X3))))) = mult(X2,ld(X1,mult(X2,X3))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.458.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2','L')]).
% 82.04/82.46 cnf('0.2300.1.0',plain,
% 82.04/82.46 ( ld(X1,mult(X2,mult(ld(X2,X1),mult(X2,ld(ld(X2,X1),X3))))) = mult(X2,ld(X1,mult(X2,X3))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2300.0.0']),
% 82.04/82.46 [weight('<367,458,1,[1,0,0,6]>')]).
% 82.04/82.46 cnf('0.2300.2.0',plain,
% 82.04/82.46 ( ld(X1,mult(X2,mult(ld(X2,X1),mult(X2,ld(ld(X2,X1),X3))))) = mult(X2,ld(X1,mult(X2,X3))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2300.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2178]).
% 82.04/82.46 cnf('0.2302.0.0',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),X3)))) = mult(X2,mult(X1,ld(X2,mult(X1,X3)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1.2.0','0.2300.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2302.1.0',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),X3)))) = mult(X2,mult(X1,ld(X2,mult(X1,X3)))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2302.0.0']),
% 82.04/82.46 [weight('<321,2300,1,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2302.2.0',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),X3)))) = mult(X2,mult(X1,ld(X2,mult(X1,X3)))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2302.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2180]).
% 82.04/82.46 cnf('0.2304.0.0',plain,
% 82.04/82.46 ( mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),X3))) = ld(X1,mult(X2,mult(X1,ld(X2,mult(X1,X3))))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4.2.0','0.2302.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2304.1.0',plain,
% 82.04/82.46 ( mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),X3))) = ld(X1,mult(X2,mult(X1,ld(X2,mult(X1,X3))))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2304.0.0']),
% 82.04/82.46 [weight('<275,2302,4,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2304.2.0',plain,
% 82.04/82.46 ( mult(ld(X1,X2),mult(X1,ld(ld(X1,X2),X3))) = ld(X1,mult(X2,mult(X1,ld(X2,mult(X1,X3))))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2304.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2182]).
% 82.04/82.46 cnf('0.2328.0.0',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(X1,X3))) = mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3))))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1.2.0','0.842.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2328.1.0',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(X1,X3))) = mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3))))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2328.0.0']),
% 82.04/82.46 [weight('<367,842,1,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2328.2.0',plain,
% 82.04/82.46 ( mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),mult(X1,mult(X2,X3))))) = mult(X1,mult(X2,ld(X1,X3))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2328.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2206]).
% 82.04/82.46 cnf('0.2334.0.0',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(X1,ld(ld(X2,ld(X1,unit)),unit)))) = mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),mult(mult(X1,X2),mult(X1,X2))))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2328.2.0','0.1178.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2','L')]).
% 82.04/82.46 cnf('0.2334.0.1',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(X1,ld(ld(X2,ld(X1,unit)),unit)))) = mult(mult(X1,X2),ld(X1,mult(X1,X2))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2334.0.0','0.14.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2','L')]).
% 82.04/82.46 cnf('0.2334.0.2',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(X1,ld(ld(X2,ld(X1,unit)),unit)))) = mult(mult(X1,X2),X2) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2334.0.1','0.4.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2','L')]).
% 82.04/82.46 cnf('0.2334.1.0',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(X1,ld(ld(X2,ld(X1,unit)),unit)))) = mult(mult(X1,X2),X2) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2334.0.2']),
% 82.04/82.46 [weight('<265,2328,1178,[1,0,0,10]>')]).
% 82.04/82.46 cnf('0.2334.1.1',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(X1,ld(ld(X2,ld(X1,unit)),unit)))) = mult(X2,mult(X2,X1)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2334.1.0','0.576.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','R')]).
% 82.04/82.46 cnf('0.2334.2.0',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(X1,ld(ld(X2,ld(X1,unit)),unit)))) = mult(X2,mult(X2,X1)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2334.1.1',theory(equality)]),
% 82.04/82.46 [u,rule_2212]).
% 82.04/82.46 cnf('0.2336.0.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,ld(ld(X1,ld(X2,unit)),unit))) = ld(X2,mult(X1,mult(X1,X2))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4.2.0','0.2334.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2336.1.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,ld(ld(X1,ld(X2,unit)),unit))) = ld(X2,mult(X1,mult(X1,X2))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2336.0.0']),
% 82.04/82.46 [weight('<227,2334,4,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2336.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,ld(ld(X1,ld(X2,unit)),unit))) = ld(X2,mult(X1,mult(X1,X2))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2336.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2214]).
% 82.04/82.46 cnf('0.2338.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(X2,mult(X2,ld(X1,unit)))) = mult(X2,ld(ld(X1,unit),ld(ld(X2,X1),unit))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2336.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.1.2','L')]).
% 82.04/82.46 cnf('0.2338.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(X2,mult(X2,ld(X1,unit)))) = mult(X2,ld(ld(X1,unit),ld(ld(X2,X1),unit))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2338.0.0']),
% 82.04/82.46 [weight('<275,2336,16,[1,0,0,7]>')]).
% 82.04/82.46 cnf('0.2338.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X2,unit),ld(ld(X1,X2),unit))) = ld(ld(X2,unit),mult(X1,mult(X1,ld(X2,unit)))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2338.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2216]).
% 82.04/82.46 cnf('0.2348.0.0',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,X2),ld(X1,X3))) = mult(X2,ld(X1,ld(mult(X1,ld(X1,X2)),mult(X1,mult(ld(X1,X2),X3))))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2328.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2348.0.1',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,X2),ld(X1,X3))) = mult(X2,ld(X1,ld(X2,mult(X1,mult(ld(X1,X2),X3))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2348.0.0','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.1','L')]).
% 82.04/82.46 cnf('0.2348.1.0',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,X2),ld(X1,X3))) = mult(X2,ld(X1,ld(X2,mult(X1,mult(ld(X1,X2),X3))))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2348.0.1']),
% 82.04/82.46 [weight('<321,2328,1,[1,0,0,1]>')]).
% 82.04/82.46 cnf('0.2348.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,ld(X1,mult(X2,mult(ld(X2,X1),X3))))) = mult(X2,mult(ld(X2,X1),ld(X2,X3))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2348.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2226]).
% 82.04/82.46 cnf('0.2350.0.0',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(X1,ld(X2,X3)))) = mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),mult(X1,X3)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2328.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2.2','L')]).
% 82.04/82.46 cnf('0.2350.1.0',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(X1,ld(X2,X3)))) = mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),mult(X1,X3)))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2350.0.0']),
% 82.04/82.46 [weight('<321,2328,1,[1,0,0,12]>')]).
% 82.04/82.46 cnf('0.2350.2.0',plain,
% 82.04/82.46 ( mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),mult(X1,X3)))) = mult(X1,mult(X2,ld(X1,ld(X2,X3)))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2350.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2228]).
% 82.04/82.46 cnf('0.2366.0.0',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(X1,ld(X2,ld(X1,X3))))) = mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),X3))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2350.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2','L')]).
% 82.04/82.46 cnf('0.2366.1.0',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(X1,ld(X2,ld(X1,X3))))) = mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),X3))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2366.0.0']),
% 82.04/82.46 [weight('<275,2350,1,[1,0,0,10]>')]).
% 82.04/82.46 cnf('0.2366.2.0',plain,
% 82.04/82.46 ( mult(mult(X1,X2),ld(X1,ld(mult(X1,X2),X3))) = mult(X1,mult(X2,ld(X1,ld(X2,ld(X1,X3))))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2366.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2244]).
% 82.04/82.46 cnf('0.2368.0.0',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(X1,ld(X2,ld(X1,X3))))) = mult(mult(X2,X1),ld(X1,ld(mult(X1,X2),X3))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2366.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2368.1.0',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(X1,ld(X2,ld(X1,X3))))) = mult(mult(X2,X1),ld(X1,ld(mult(X1,X2),X3))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2368.0.0']),
% 82.04/82.46 [weight('<275,2366,5,[1,0,0,1]>')]).
% 82.04/82.46 cnf('0.2368.2.0',plain,
% 82.04/82.46 ( mult(mult(X1,X2),ld(X2,ld(mult(X2,X1),X3))) = mult(X2,mult(X1,ld(X2,ld(X1,ld(X2,X3))))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2368.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2246]).
% 82.04/82.46 cnf('0.2372.0.0',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(X1,ld(X2,ld(X1,X3))))) = mult(mult(X2,X1),ld(X1,ld(mult(X2,X1),X3))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2368.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.1','L')]).
% 82.04/82.46 cnf('0.2372.1.0',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(X1,ld(X2,ld(X1,X3))))) = mult(mult(X2,X1),ld(X1,ld(mult(X2,X1),X3))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2372.0.0']),
% 82.04/82.46 [weight('<275,2368,5,[1,0,0,7]>')]).
% 82.04/82.46 cnf('0.2372.2.0',plain,
% 82.04/82.46 ( mult(mult(X1,X2),ld(X2,ld(mult(X1,X2),X3))) = mult(X2,mult(X1,ld(X2,ld(X1,ld(X2,X3))))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2372.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2250]).
% 82.04/82.46 cnf('0.2382.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(ld(X2,X1),unit)) = ld(X2,ld(ld(X1,unit),mult(X2,mult(X2,ld(X1,unit))))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4.2.0','0.2338.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2382.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(ld(X2,X1),unit)) = ld(X2,ld(ld(X1,unit),mult(X2,mult(X2,ld(X1,unit))))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2382.0.0']),
% 82.04/82.46 [weight('<321,2338,4,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2382.2.0',plain,
% 82.04/82.46 ( ld(X1,ld(ld(X2,unit),mult(X1,mult(X1,ld(X2,unit))))) = ld(ld(X2,unit),ld(ld(X1,X2),unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2382.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2260]).
% 82.04/82.46 cnf('0.2384.0.0',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,X2),ld(X1,ld(ld(X1,X2),X3)))) = mult(X2,ld(X1,ld(X2,mult(X1,X3)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2348.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2.2','L')]).
% 82.04/82.46 cnf('0.2384.1.0',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,X2),ld(X1,ld(ld(X1,X2),X3)))) = mult(X2,ld(X1,ld(X2,mult(X1,X3)))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2384.0.0']),
% 82.04/82.46 [weight('<321,2348,1,[1,0,0,8]>')]).
% 82.04/82.46 cnf('0.2384.2.0',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,X2),ld(X1,ld(ld(X1,X2),X3)))) = mult(X2,ld(X1,ld(X2,mult(X1,X3)))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2384.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2262]).
% 82.04/82.46 cnf('0.2386.0.0',plain,
% 82.04/82.46 ( mult(ld(X1,X2),ld(X1,ld(ld(X1,X2),X3))) = ld(X1,mult(X2,ld(X1,ld(X2,mult(X1,X3))))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4.2.0','0.2384.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2386.1.0',plain,
% 82.04/82.46 ( mult(ld(X1,X2),ld(X1,ld(ld(X1,X2),X3))) = ld(X1,mult(X2,ld(X1,ld(X2,mult(X1,X3))))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2386.0.0']),
% 82.04/82.46 [weight('<275,2384,4,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2386.2.0',plain,
% 82.04/82.46 ( mult(ld(X1,X2),ld(X1,ld(ld(X1,X2),X3))) = ld(X1,mult(X2,ld(X1,ld(X2,mult(X1,X3))))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2386.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2264]).
% 82.04/82.46 cnf('0.2390.0.0',plain,
% 82.04/82.46 ( 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))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2372.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2390.0.1',plain,
% 82.04/82.46 ( 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))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2390.0.0','0.2304.2.0',theory(equality)]),
% 82.04/82.46 [pos('L','L')]).
% 82.04/82.46 cnf('0.2390.0.2',plain,
% 82.04/82.46 ( 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))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2390.0.1','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2.2','L')]).
% 82.04/82.46 cnf('0.2390.0.3',plain,
% 82.04/82.46 ( ld(X1,mult(X2,mult(X1,ld(X2,ld(ld(X1,X2),X3))))) = mult(X2,ld(ld(X1,X2),ld(X2,X3))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2390.0.2','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.1','L')]).
% 82.04/82.46 cnf('0.2390.1.0',plain,
% 82.04/82.46 ( ld(X1,mult(X2,mult(X1,ld(X2,ld(ld(X1,X2),X3))))) = mult(X2,ld(ld(X1,X2),ld(X2,X3))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2390.0.3']),
% 82.04/82.46 [weight('<321,2372,1,[1,0,0,1]>')]).
% 82.04/82.46 cnf('0.2390.2.0',plain,
% 82.04/82.46 ( ld(X1,mult(X2,mult(X1,ld(X2,ld(ld(X1,X2),X3))))) = mult(X2,ld(ld(X1,X2),ld(X2,X3))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2390.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2268]).
% 82.04/82.46 cnf('0.2392.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(ld(X2,X1),unit)) = ld(X2,ld(ld(X1,unit),mult(X2,mult(ld(X1,unit),X2)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2382.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2','L')]).
% 82.04/82.46 cnf('0.2392.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(ld(X2,X1),unit)) = ld(X2,ld(ld(X1,unit),mult(X2,mult(ld(X1,unit),X2)))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2392.0.0']),
% 82.04/82.46 [weight('<321,2382,5,[1,0,0,8]>')]).
% 82.04/82.46 cnf('0.2392.2.0',plain,
% 82.04/82.46 ( ld(X1,ld(ld(X2,unit),mult(X1,mult(ld(X2,unit),X1)))) = ld(ld(X2,unit),ld(ld(X1,X2),unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2392.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2270]).
% 82.04/82.46 cnf('0.2394.0.0',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X2,X1),ld(X1,mult(ld(X2,X1),X3)))) = ld(X2,mult(X1,mult(X2,ld(X1,X3)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2390.2.0','0.4.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2.2','L')]).
% 82.04/82.46 cnf('0.2394.1.0',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X2,X1),ld(X1,mult(ld(X2,X1),X3)))) = ld(X2,mult(X1,mult(X2,ld(X1,X3)))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2394.0.0']),
% 82.04/82.46 [weight('<321,2390,4,[1,0,0,8]>')]).
% 82.04/82.46 cnf('0.2394.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X2,X1),ld(X1,mult(ld(X2,X1),X3)))) = ld(X2,mult(X1,mult(X2,ld(X1,X3)))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2394.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2272]).
% 82.04/82.46 cnf('0.2396.0.0',plain,
% 82.04/82.46 ( 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))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2394.2.0','0.2382.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2396.0.1',plain,
% 82.04/82.46 ( 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))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2396.0.0','0.14.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2','L')]).
% 82.04/82.46 cnf('0.2396.0.2',plain,
% 82.04/82.46 ( 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))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2396.0.1','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.2396.0.3',plain,
% 82.04/82.46 ( 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))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2396.0.2','0.214.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2396.0.4',plain,
% 82.04/82.46 ( ld(X1,ld(X2,ld(X2,unit))) = mult(ld(X2,unit),ld(ld(X2,unit),ld(ld(ld(X1,ld(X2,unit)),X2),unit))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2396.0.3','0.2.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.2396.0.5',plain,
% 82.04/82.46 ( ld(X1,ld(X2,ld(X2,unit))) = ld(ld(ld(X1,ld(X2,unit)),X2),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2396.0.4','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.2396.1.0',plain,
% 82.04/82.46 ( ld(X1,ld(X2,ld(X2,unit))) = ld(ld(ld(X1,ld(X2,unit)),X2),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2396.0.5']),
% 82.04/82.46 [weight('<169,2394,2382,[1,0,0,2]>')]).
% 82.04/82.46 cnf('0.2396.2.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,ld(X2,unit)),X2),unit) = ld(X1,ld(X2,ld(X2,unit))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2396.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2274]).
% 82.04/82.46 cnf('0.2398.0.0',plain,
% 82.04/82.46 ( 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)),mult(X2,X2)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1202.2.0','0.2396.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.2.1.2','L')]).
% 82.04/82.46 cnf('0.2398.0.1',plain,
% 82.04/82.46 ( 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)),mult(X2,X2)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2398.0.0','0.1456.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1.2.1','L')]).
% 82.04/82.46 cnf('0.2398.0.2',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,unit)),X2) = ld(mult(ld(X1,ld(X2,unit)),ld(ld(X1,ld(X2,unit)),ld(X1,unit))),mult(X2,X2)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2398.0.1','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1.2','L')]).
% 82.04/82.46 cnf('0.2398.0.3',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,unit)),X2) = ld(ld(X1,unit),mult(X2,X2)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2398.0.2','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1','L')]).
% 82.04/82.46 cnf('0.2398.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,unit)),X2) = ld(ld(X1,unit),mult(X2,X2)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2398.0.3']),
% 82.04/82.46 [weight('<119,2396,1202,[0,0,0,6]>')]).
% 82.04/82.46 cnf('0.2398.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,unit)),X2) = ld(ld(X1,unit),mult(X2,X2)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2398.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2276]).
% 82.04/82.46 cnf('0.2400.0.0',plain,
% 82.04/82.46 ( ld(X1,ld(X2,unit)) = ld(ld(ld(X1,unit),mult(X2,X2)),X2) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.16.2.0','0.2398.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2400.1.0',plain,
% 82.04/82.46 ( ld(X1,ld(X2,unit)) = ld(ld(ld(X1,unit),mult(X2,X2)),X2) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2400.0.0']),
% 82.04/82.46 [weight('<149,2398,16,[0,0,0,1]>')]).
% 82.04/82.46 cnf('0.2400.2.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,unit),mult(X2,X2)),X2) = ld(X1,ld(X2,unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2400.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2278]).
% 82.04/82.46 cnf('0.2402.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(X2,unit)) = ld(ld(X1,mult(X2,X2)),X2) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2400.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.1','L')]).
% 82.04/82.46 cnf('0.2402.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(X2,unit)) = ld(ld(X1,mult(X2,X2)),X2) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2402.0.0']),
% 82.04/82.46 [weight('<119,2400,16,[1,0,0,2]>')]).
% 82.04/82.46 cnf('0.2402.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,mult(X2,X2)),X2) = ld(ld(X1,unit),ld(X2,unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2402.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2280]).
% 82.04/82.46 cnf('0.2404.0.0',plain,
% 82.04/82.46 ( 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))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2394.2.0','0.2392.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2404.0.1',plain,
% 82.04/82.46 ( 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))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2404.0.0','0.4.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2','L')]).
% 82.04/82.46 cnf('0.2404.0.2',plain,
% 82.04/82.46 ( 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))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2404.0.1','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.2404.0.3',plain,
% 82.04/82.46 ( 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))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2404.0.2','0.214.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2404.0.4',plain,
% 82.04/82.46 ( ld(X1,ld(X2,ld(X2,unit))) = mult(ld(X2,unit),ld(ld(X2,unit),ld(ld(ld(X1,ld(X2,unit)),X2),unit))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2404.0.3','0.2.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.2404.0.5',plain,
% 82.04/82.46 ( ld(X1,ld(X2,ld(X2,unit))) = ld(ld(ld(X1,ld(X2,unit)),X2),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2404.0.4','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.2404.1.0',plain,
% 82.04/82.46 ( ld(X1,ld(X2,ld(X2,unit))) = ld(ld(ld(X1,ld(X2,unit)),X2),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2404.0.5']),
% 82.04/82.46 [weight('<169,2394,2392,[1,0,0,2]>')]).
% 82.04/82.46 cnf('0.2404.1.1',plain,
% 82.04/82.46 ( ld(X1,ld(X2,ld(X2,unit))) = ld(ld(ld(X1,unit),mult(X2,X2)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2404.1.0','0.2398.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1','L')]).
% 82.04/82.46 cnf('0.2404.2.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,unit),mult(X2,X2)),unit) = ld(X1,ld(X2,ld(X2,unit))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2404.1.1',theory(equality)]),
% 82.04/82.46 [x,rule_2282]).
% 82.04/82.46 cnf('0.2406.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(ld(X2,unit),ld(X2,unit))) = ld(ld(X1,X2),ld(X2,unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2398.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.2','L')]).
% 82.04/82.46 cnf('0.2406.0.1',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(X2,mult(ld(X2,unit),unit))) = ld(ld(X1,X2),ld(X2,unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2406.0.0','0.214.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2406.0.2',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(X2,ld(X2,unit))) = ld(ld(X1,X2),ld(X2,unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2406.0.1','0.2.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.2406.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(X2,ld(X2,unit))) = ld(ld(X1,X2),ld(X2,unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2406.0.2']),
% 82.04/82.46 [weight('<169,2398,16,[1,0,0,3]>')]).
% 82.04/82.46 cnf('0.2406.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(X2,ld(X2,unit))) = ld(ld(X1,X2),ld(X2,unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2406.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2284]).
% 82.04/82.46 cnf('0.2408.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(X2,X2)) = ld(ld(X1,ld(X2,ld(X2,unit))),unit) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.16.2.0','0.2404.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2408.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(X2,X2)) = ld(ld(X1,ld(X2,ld(X2,unit))),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2408.0.0']),
% 82.04/82.46 [weight('<169,2404,16,[0,0,0,1]>')]).
% 82.04/82.46 cnf('0.2408.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,ld(X2,unit))),unit) = ld(ld(X1,unit),mult(X2,X2)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2408.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2286]).
% 82.04/82.46 cnf('0.2410.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),mult(ld(X2,unit),ld(X2,unit))) = ld(ld(X1,ld(ld(X2,unit),X2)),unit) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2408.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.2.2','L')]).
% 82.04/82.46 cnf('0.2410.0.1',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(X2,mult(ld(X2,unit),unit))) = ld(ld(X1,ld(ld(X2,unit),X2)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2410.0.0','0.214.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2410.0.2',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(X2,ld(X2,unit))) = ld(ld(X1,ld(ld(X2,unit),X2)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2410.0.1','0.2.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.2410.0.3',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(X2,unit)) = ld(ld(X1,ld(ld(X2,unit),X2)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2410.0.2','0.2406.2.0',theory(equality)]),
% 82.04/82.46 [pos('L','L')]).
% 82.04/82.46 cnf('0.2410.0.4',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(X2,unit)) = ld(ld(X1,mult(X2,X2)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2410.0.3','0.30.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1.2','L')]).
% 82.04/82.46 cnf('0.2410.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(X2,unit)) = ld(ld(X1,mult(X2,X2)),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2410.0.4']),
% 82.04/82.46 [weight('<119,2408,16,[1,0,0,5]>')]).
% 82.04/82.46 cnf('0.2410.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,mult(X2,X2)),unit) = ld(ld(X1,X2),ld(X2,unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2410.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2288]).
% 82.04/82.46 cnf('0.2412.0.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,unit),unit),mult(X2,X2)) = ld(ld(ld(X1,X2),ld(X2,unit)),unit) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2408.2.0','0.2406.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2412.0.1',plain,
% 82.04/82.46 ( ld(X1,mult(X2,X2)) = ld(ld(ld(X1,X2),ld(X2,unit)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2412.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2412.1.0',plain,
% 82.04/82.46 ( ld(X1,mult(X2,X2)) = ld(ld(ld(X1,X2),ld(X2,unit)),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2412.0.1']),
% 82.04/82.46 [weight('<149,2408,2406,[1,0,0,1]>')]).
% 82.04/82.46 cnf('0.2412.2.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,X2),ld(X2,unit)),unit) = ld(X1,mult(X2,X2)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2412.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2290]).
% 82.04/82.46 cnf('0.2414.0.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,unit),mult(X2,X2)),unit) = ld(X1,ld(X2,ld(X2,unit))) ),
% 82.04/82.46 inference(interreduction_right,[status(thm)],['0.2404.2.0'])).
% 82.04/82.46 cnf('0.2414.0.1',plain,
% 82.04/82.46 ( ld(ld(ld(X1,unit),X2),ld(X2,unit)) = ld(X1,ld(X2,ld(X2,unit))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2414.0.0','0.2410.2.0',theory(equality)]),
% 82.04/82.46 [pos('L','L')]).
% 82.04/82.46 cnf('0.2414.1.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,unit),X2),ld(X2,unit)) = ld(X1,ld(X2,ld(X2,unit))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2414.0.1']),
% 82.04/82.46 [weight('<169,2404,2410,[0,0,0,0]>')]).
% 82.04/82.46 cnf('0.2414.2.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,unit),X2),ld(X2,unit)) = ld(X1,ld(X2,ld(X2,unit))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2414.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2292]).
% 82.04/82.46 cnf('0.2416.0.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,ld(X2,unit)),unit),mult(X2,X2)) = ld(X1,X2) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2398.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2416.1.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,ld(X2,unit)),unit),mult(X2,X2)) = ld(X1,X2) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2416.0.0']),
% 82.04/82.46 [weight('<179,2398,16,[1,0,0,1]>')]).
% 82.04/82.46 cnf('0.2416.2.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,ld(X2,unit)),unit),mult(X2,X2)) = ld(X1,X2) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2416.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2294]).
% 82.04/82.46 cnf('0.2420.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(ld(X2,unit),unit)) = ld(ld(X1,ld(X2,mult(ld(X2,unit),unit))),ld(X2,unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2402.2.0','0.214.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.2','L')]).
% 82.04/82.46 cnf('0.2420.0.1',plain,
% 82.04/82.46 ( ld(ld(X1,unit),X2) = ld(ld(X1,ld(X2,mult(ld(X2,unit),unit))),ld(X2,unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2420.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2420.0.2',plain,
% 82.04/82.46 ( ld(ld(X1,unit),X2) = ld(ld(X1,ld(X2,ld(X2,unit))),ld(X2,unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2420.0.1','0.2.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1.2.2','L')]).
% 82.04/82.46 cnf('0.2420.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),X2) = ld(ld(X1,ld(X2,ld(X2,unit))),ld(X2,unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2420.0.2']),
% 82.04/82.46 [weight('<203,2402,214,[1,0,0,3]>')]).
% 82.04/82.46 cnf('0.2420.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,ld(X2,unit))),ld(X2,unit)) = ld(ld(X1,unit),X2) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2420.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2298]).
% 82.04/82.46 cnf('0.2424.0.0',plain,
% 82.04/82.46 ( ld(ld(ld(ld(X1,ld(X2,unit)),unit),X2),ld(X2,unit)) = ld(ld(X1,X2),unit) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2410.2.0','0.2416.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2424.0.1',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,unit)),ld(X2,ld(X2,unit))) = ld(ld(X1,X2),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2424.0.0','0.2414.2.0',theory(equality)]),
% 82.04/82.46 [pos('L','L')]).
% 82.04/82.46 cnf('0.2424.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,unit)),ld(X2,ld(X2,unit))) = ld(ld(X1,X2),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2424.0.1']),
% 82.04/82.46 [weight('<203,2416,2410,[0,0,0,1]>')]).
% 82.04/82.46 cnf('0.2424.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,unit)),ld(X2,ld(X2,unit))) = ld(ld(X1,X2),unit) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2424.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2302]).
% 82.04/82.46 cnf('0.2428.0.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,ld(X2,unit)),unit),X2) = ld(ld(ld(X1,X2),unit),ld(X2,unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2420.2.0','0.2424.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2428.1.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,ld(X2,unit)),unit),X2) = ld(ld(ld(X1,X2),unit),ld(X2,unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2428.0.0']),
% 82.04/82.46 [weight('<189,2424,2420,[0,0,0,1]>')]).
% 82.04/82.46 cnf('0.2428.2.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,ld(X2,unit)),unit),X2) = ld(ld(ld(X1,X2),unit),ld(X2,unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2428.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2306]).
% 82.04/82.46 cnf('0.2432.0.0',plain,
% 82.04/82.46 ( X1 = mult(ld(X2,ld(X1,unit)),ld(ld(X2,unit),mult(X1,X1))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1.2.0','0.2398.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2432.1.0',plain,
% 82.04/82.46 ( X1 = mult(ld(X2,ld(X1,unit)),ld(ld(X2,unit),mult(X1,X1))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2432.0.0']),
% 82.04/82.46 [weight('<209,2398,1,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2432.2.0',plain,
% 82.04/82.46 ( mult(ld(X1,ld(X2,unit)),ld(ld(X1,unit),mult(X2,X2))) = X2 ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2432.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2310]).
% 82.04/82.46 cnf('0.2434.0.0',plain,
% 82.04/82.46 ( X1 = mult(ld(X2,mult(X1,X1)),ld(ld(X2,unit),ld(X1,unit))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1.2.0','0.2402.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2434.1.0',plain,
% 82.04/82.46 ( X1 = mult(ld(X2,mult(X1,X1)),ld(ld(X2,unit),ld(X1,unit))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2434.0.0']),
% 82.04/82.46 [weight('<209,2402,1,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2434.2.0',plain,
% 82.04/82.46 ( mult(ld(X1,mult(X2,X2)),ld(ld(X1,unit),ld(X2,unit))) = X2 ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2434.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2312]).
% 82.04/82.46 cnf('0.2442.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),mult(X2,X2)) = ld(ld(X1,ld(X2,unit)),unit) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2412.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.1','L')]).
% 82.04/82.46 cnf('0.2442.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),mult(X2,X2)) = ld(ld(X1,ld(X2,unit)),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2442.0.0']),
% 82.04/82.46 [weight('<224,2412,16,[1,0,0,2]>')]).
% 82.04/82.46 cnf('0.2442.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),mult(X2,X2)) = ld(ld(X1,ld(X2,unit)),unit) ),
% 82.04/82.46 inference(activate,[status(thm)],['0.2442.1.0']),
% 82.04/82.46 [equation_123]).
% 82.04/82.46 cnf('0.2444.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(ld(X1,ld(X2,unit)),unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1216.2.0','0.2442.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2','L')]).
% 82.04/82.46 cnf('0.2444.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(ld(X1,ld(X2,unit)),unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2444.0.0']),
% 82.04/82.46 [weight('<189,2442,1216,[0,0,1,2]>')]).
% 82.04/82.46 cnf('0.2444.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(ld(X1,X2),unit)),unit) = ld(X1,ld(ld(X1,ld(X2,unit)),unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2444.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2321]).
% 82.04/82.46 cnf('0.2448.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,mult(X1,X2)),ld(mult(X1,X2),unit)) = ld(mult(X2,ld(ld(X2,ld(X1,unit)),unit)),unit) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2410.2.0','0.2208.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','R')]).
% 82.04/82.46 cnf('0.2448.0.1',plain,
% 82.04/82.46 ( ld(X2,ld(mult(X1,X2),unit)) = ld(mult(X2,ld(ld(X2,ld(X1,unit)),unit)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2448.0.0','0.4.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2448.1.0',plain,
% 82.04/82.46 ( ld(X2,ld(mult(X1,X2),unit)) = ld(mult(X2,ld(ld(X2,ld(X1,unit)),unit)),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2448.0.1']),
% 82.04/82.46 [weight('<227,2410,2208,[1,0,1,1]>')]).
% 82.04/82.46 cnf('0.2448.2.0',plain,
% 82.04/82.46 ( ld(mult(X1,ld(ld(X1,ld(X2,unit)),unit)),unit) = ld(X1,ld(mult(X2,X1),unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2448.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2325]).
% 82.04/82.46 cnf('0.2450.0.0',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X1,ld(X2,unit)),unit)) = ld(ld(X1,ld(mult(X2,X1),unit)),unit) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.16.2.0','0.2448.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2450.1.0',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X1,ld(X2,unit)),unit)) = ld(ld(X1,ld(mult(X2,X1),unit)),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2450.0.0']),
% 82.04/82.46 [weight('<189,2448,16,[0,0,0,1]>')]).
% 82.04/82.46 cnf('0.2450.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X1,ld(X2,unit)),unit)) = ld(ld(X1,ld(mult(X2,X1),unit)),unit) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2450.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2327]).
% 82.04/82.46 cnf('0.2452.0.0',plain,
% 82.04/82.46 ( mult(X1,mult(X2,ld(ld(X2,ld(X1,unit)),unit))) = mult(mult(X1,X2),mult(X1,X2)) ),
% 82.04/82.46 inference(interreduction_right,[status(thm)],['0.1178.2.0'])).
% 82.04/82.46 cnf('0.2452.0.1',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X2,ld(mult(X1,X2),unit)),unit)) = mult(mult(X1,X2),mult(X1,X2)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2452.0.0','0.2450.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2452.1.0',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X2,ld(mult(X1,X2),unit)),unit)) = mult(mult(X1,X2),mult(X1,X2)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2452.0.1']),
% 82.04/82.46 [weight('<227,1178,2450,[0,0,0,0]>')]).
% 82.04/82.46 cnf('0.2452.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X2,ld(mult(X1,X2),unit)),unit)) = mult(mult(X1,X2),mult(X1,X2)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2452.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2329]).
% 82.04/82.46 cnf('0.2498.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(mult(mult(X2,X2),X1),unit)),unit) = mult(X1,ld(ld(X1,ld(X2,ld(X2,unit))),unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2450.2.0','0.42.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1.2','L')]).
% 82.04/82.46 cnf('0.2498.0.1',plain,
% 82.04/82.46 ( ld(ld(X1,ld(mult(mult(X2,X2),X1),unit)),unit) = mult(X1,ld(ld(X1,unit),mult(X2,X2))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2498.0.0','0.2408.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2','L')]).
% 82.04/82.46 cnf('0.2498.0.2',plain,
% 82.04/82.46 ( ld(ld(X1,ld(mult(mult(X2,X2),X1),unit)),unit) = ld(ld(X1,unit),mult(X1,mult(X2,X2))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2498.0.1','0.218.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.2498.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(mult(mult(X2,X2),X1),unit)),unit) = ld(ld(X1,unit),mult(X1,mult(X2,X2))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2498.0.2']),
% 82.04/82.46 [weight('<251,2450,42,[1,0,0,5]>')]).
% 82.04/82.46 cnf('0.2498.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(mult(mult(X2,X2),X1),unit)),unit) = ld(ld(X1,unit),mult(X1,mult(X2,X2))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2498.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2375]).
% 82.04/82.46 cnf('0.2500.0.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,mult(mult(X2,X2),X1)),unit),ld(mult(mult(X2,X2),X1),unit)) = ld(ld(ld(X1,unit),mult(X1,mult(X2,X2))),mult(mult(X2,X2),X1)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2428.2.0','0.2498.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2500.0.1',plain,
% 82.04/82.46 ( ld(ld(mult(X2,X2),unit),ld(mult(mult(X2,X2),X1),unit)) = ld(ld(ld(X1,unit),mult(X1,mult(X2,X2))),mult(mult(X2,X2),X1)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2500.0.0','0.14.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.1','L')]).
% 82.04/82.46 cnf('0.2500.0.2',plain,
% 82.04/82.46 ( ld(ld(X2,ld(X2,unit)),ld(mult(mult(X2,X2),X1),unit)) = ld(ld(ld(X1,unit),mult(X1,mult(X2,X2))),mult(mult(X2,X2),X1)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2500.0.1','0.42.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2500.0.3',plain,
% 82.04/82.46 ( ld(ld(X2,ld(X2,unit)),ld(mult(mult(X2,X2),X1),unit)) = ld(X1,unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2500.0.2','0.760.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.2500.1.0',plain,
% 82.04/82.46 ( ld(ld(X2,ld(X2,unit)),ld(mult(mult(X2,X2),X1),unit)) = ld(X1,unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2500.0.3']),
% 82.04/82.46 [weight('<237,2498,2428,[0,0,0,1]>')]).
% 82.04/82.46 cnf('0.2500.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X1,unit)),ld(mult(mult(X1,X1),X2),unit)) = ld(X2,unit) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2500.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2377]).
% 82.04/82.46 cnf('0.2502.0.0',plain,
% 82.04/82.46 ( ld(mult(mult(X1,X1),X2),unit) = mult(ld(X1,ld(X1,unit)),ld(X2,unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1.2.0','0.2500.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2502.1.0',plain,
% 82.04/82.46 ( ld(mult(mult(X1,X1),X2),unit) = mult(ld(X1,ld(X1,unit)),ld(X2,unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2502.0.0']),
% 82.04/82.46 [weight('<169,2500,1,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2502.2.0',plain,
% 82.04/82.46 ( mult(ld(X1,ld(X1,unit)),ld(X2,unit)) = ld(mult(mult(X1,X1),X2),unit) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2502.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2379]).
% 82.04/82.46 cnf('0.2506.0.0',plain,
% 82.04/82.46 ( ld(mult(mult(X1,X1),X2),unit) = mult(ld(X2,unit),ld(X1,ld(X1,unit))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2502.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.46 [pos('L','L')]).
% 82.04/82.46 cnf('0.2506.1.0',plain,
% 82.04/82.46 ( ld(mult(mult(X1,X1),X2),unit) = mult(ld(X2,unit),ld(X1,ld(X1,unit))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2506.0.0']),
% 82.04/82.46 [weight('<169,2502,5,[1,0,0,0]>')]).
% 82.04/82.46 cnf('0.2506.2.0',plain,
% 82.04/82.46 ( mult(ld(X1,unit),ld(X2,ld(X2,unit))) = ld(mult(mult(X2,X2),X1),unit) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2506.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2383]).
% 82.04/82.46 cnf('0.2606.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(X2,mult(ld(X1,X2),X3))) = ld(X2,ld(X1,mult(X2,mult(X1,ld(X2,X3))))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4.2.0','0.2394.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2606.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(X2,mult(ld(X1,X2),X3))) = ld(X2,ld(X1,mult(X2,mult(X1,ld(X2,X3))))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2606.0.0']),
% 82.04/82.46 [weight('<275,2394,4,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2606.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(X2,mult(ld(X1,X2),X3))) = ld(X2,ld(X1,mult(X2,mult(X1,ld(X2,X3))))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2606.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2483]).
% 82.04/82.46 cnf('0.2608.0.0',plain,
% 82.04/82.46 ( ld(X1,ld(X2,mult(X1,mult(X2,ld(X1,mult(X1,X1)))))) = ld(ld(ld(X2,X1),ld(X1,ld(X2,X1))),unit) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2606.2.0','0.804.2.0',theory(equality)]),
% 82.04/82.46 [pos('L','L')]).
% 82.04/82.46 cnf('0.2608.0.1',plain,
% 82.04/82.46 ( ld(X1,ld(X2,mult(X1,mult(X2,X1)))) = ld(ld(ld(X2,X1),ld(X1,ld(X2,X1))),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2608.0.0','0.14.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2.2','L')]).
% 82.04/82.46 cnf('0.2608.1.0',plain,
% 82.04/82.46 ( ld(X1,ld(X2,mult(X1,mult(X2,X1)))) = ld(ld(ld(X2,X1),ld(X1,ld(X2,X1))),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2608.0.1']),
% 82.04/82.46 [weight('<251,2606,804,[1,0,0,0]>')]).
% 82.04/82.46 cnf('0.2608.2.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,X2),ld(X2,ld(X1,X2))),unit) = ld(X2,ld(X1,mult(X2,mult(X1,X2)))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2608.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2485]).
% 82.04/82.46 cnf('0.2610.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(X2,ld(X1,X2))) = ld(ld(X2,ld(X1,mult(X2,mult(X1,X2)))),unit) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.16.2.0','0.2608.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2610.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(X2,ld(X1,X2))) = ld(ld(X2,ld(X1,mult(X2,mult(X1,X2)))),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2610.0.0']),
% 82.04/82.46 [weight('<251,2608,16,[0,0,0,1]>')]).
% 82.04/82.46 cnf('0.2610.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,mult(X1,mult(X2,X1)))),unit) = ld(ld(X2,X1),ld(X1,ld(X2,X1))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2610.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2487]).
% 82.04/82.46 cnf('0.2686.0.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,unit),mult(X1,mult(ld(X1,unit),X2))),ld(mult(X1,mult(ld(X1,unit),X2)),unit)) = ld(mult(X1,mult(ld(X1,ld(ld(X1,unit),mult(X1,mult(ld(X1,unit),X2)))),X2)),unit) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2410.2.0','0.2118.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2686.0.1',plain,
% 82.04/82.46 ( ld(mult(X1,X2),ld(mult(X1,mult(ld(X1,unit),X2)),unit)) = ld(mult(X1,mult(ld(X1,ld(ld(X1,unit),mult(X1,mult(ld(X1,unit),X2)))),X2)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2686.0.0','0.226.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2686.0.2',plain,
% 82.04/82.46 ( ld(mult(X1,X2),ld(mult(X1,mult(ld(X1,unit),X2)),unit)) = ld(mult(X1,mult(mult(ld(X1,ld(ld(X1,unit),X1)),ld(X1,X2)),X2)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2686.0.1','0.2160.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1.2.1','L')]).
% 82.04/82.46 cnf('0.2686.0.3',plain,
% 82.04/82.46 ( ld(mult(X1,X2),ld(mult(X1,mult(ld(X1,unit),X2)),unit)) = ld(mult(X1,mult(mult(ld(X1,mult(X1,X1)),ld(X1,X2)),X2)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2686.0.2','0.30.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1.2.1.1.2','L')]).
% 82.04/82.46 cnf('0.2686.0.4',plain,
% 82.04/82.46 ( ld(mult(X1,X2),ld(mult(X1,mult(ld(X1,unit),X2)),unit)) = ld(mult(X1,mult(mult(X1,ld(X1,X2)),X2)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2686.0.3','0.14.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1.2.1.1','L')]).
% 82.04/82.46 cnf('0.2686.0.5',plain,
% 82.04/82.46 ( ld(mult(X1,X2),ld(mult(X1,mult(ld(X1,unit),X2)),unit)) = ld(mult(X1,mult(X2,X2)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2686.0.4','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1.2.1','L')]).
% 82.04/82.46 cnf('0.2686.1.0',plain,
% 82.04/82.46 ( ld(mult(X1,X2),ld(mult(X1,mult(ld(X1,unit),X2)),unit)) = ld(mult(X1,mult(X2,X2)),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2686.0.5']),
% 82.04/82.46 [weight('<293,2410,2118,[1,0,0,1]>')]).
% 82.04/82.46 cnf('0.2686.2.0',plain,
% 82.04/82.46 ( ld(mult(X1,X2),ld(mult(X1,mult(ld(X1,unit),X2)),unit)) = ld(mult(X1,mult(X2,X2)),unit) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2686.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2562]).
% 82.04/82.46 cnf('0.2688.0.0',plain,
% 82.04/82.46 ( ld(mult(X1,mult(ld(X1,unit),X2)),unit) = mult(mult(X1,X2),ld(mult(X1,mult(X2,X2)),unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1.2.0','0.2686.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2688.1.0',plain,
% 82.04/82.46 ( ld(mult(X1,mult(ld(X1,unit),X2)),unit) = mult(mult(X1,X2),ld(mult(X1,mult(X2,X2)),unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2688.0.0']),
% 82.04/82.46 [weight('<251,2686,1,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2688.2.0',plain,
% 82.04/82.46 ( mult(mult(X1,X2),ld(mult(X1,mult(X2,X2)),unit)) = ld(mult(X1,mult(ld(X1,unit),X2)),unit) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2688.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2564]).
% 82.04/82.46 cnf('0.2692.0.0',plain,
% 82.04/82.46 ( ld(mult(X1,mult(ld(X1,unit),X2)),unit) = mult(mult(X1,X2),ld(mult(mult(X2,X2),X1),unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2688.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1','L')]).
% 82.04/82.46 cnf('0.2692.1.0',plain,
% 82.04/82.46 ( ld(mult(X1,mult(ld(X1,unit),X2)),unit) = mult(mult(X1,X2),ld(mult(mult(X2,X2),X1),unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2692.0.0']),
% 82.04/82.46 [weight('<251,2688,5,[1,0,0,5]>')]).
% 82.04/82.46 cnf('0.2692.2.0',plain,
% 82.04/82.46 ( mult(mult(X1,X2),ld(mult(mult(X2,X2),X1),unit)) = ld(mult(X1,mult(ld(X1,unit),X2)),unit) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2692.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2568]).
% 82.04/82.46 cnf('0.2704.0.0',plain,
% 82.04/82.46 ( mult(mult(X1,ld(X2,unit)),mult(X1,mult(ld(X1,unit),ld(ld(ld(X1,unit),unit),mult(X2,X2))))) = mult(X1,mult(ld(X1,unit),X2)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1176.2.0','0.2432.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.2704.0.1',plain,
% 82.04/82.46 ( mult(mult(X1,ld(X2,unit)),mult(X1,ld(ld(ld(X1,unit),unit),mult(ld(X1,unit),mult(X2,X2))))) = mult(X1,mult(ld(X1,unit),X2)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2704.0.0','0.218.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.2704.0.2',plain,
% 82.04/82.46 ( mult(mult(X1,ld(X2,unit)),mult(X1,ld(X1,mult(ld(X1,unit),mult(X2,X2))))) = mult(X1,mult(ld(X1,unit),X2)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2704.0.1','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.1','L')]).
% 82.04/82.46 cnf('0.2704.0.3',plain,
% 82.04/82.46 ( mult(mult(X1,ld(X2,unit)),mult(ld(X1,unit),mult(X2,X2))) = mult(X1,mult(ld(X1,unit),X2)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2704.0.2','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2704.1.0',plain,
% 82.04/82.46 ( mult(mult(X1,ld(X2,unit)),mult(ld(X1,unit),mult(X2,X2))) = mult(X1,mult(ld(X1,unit),X2)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2704.0.3']),
% 82.04/82.46 [weight('<293,2432,1176,[0,0,0,6]>')]).
% 82.04/82.46 cnf('0.2704.2.0',plain,
% 82.04/82.46 ( mult(mult(X1,ld(X2,unit)),mult(ld(X1,unit),mult(X2,X2))) = mult(X1,mult(ld(X1,unit),X2)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2704.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2580]).
% 82.04/82.46 cnf('0.2706.0.0',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,unit),ld(X2,unit))) = mult(mult(X1,X2),mult(ld(X1,unit),mult(ld(X2,unit),ld(X2,unit)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2704.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.2','L')]).
% 82.04/82.46 cnf('0.2706.0.1',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,unit),ld(X2,unit))) = mult(mult(X1,X2),mult(ld(X1,unit),ld(X2,mult(ld(X2,unit),unit)))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2706.0.0','0.214.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2','L')]).
% 82.04/82.46 cnf('0.2706.0.2',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,unit),ld(X2,unit))) = mult(mult(X1,X2),mult(ld(X1,unit),ld(X2,ld(X2,unit)))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2706.0.1','0.2.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.2','L')]).
% 82.04/82.46 cnf('0.2706.0.3',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,unit),ld(X2,unit))) = mult(mult(X1,X2),ld(mult(mult(X2,X2),X1),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2706.0.2','0.2506.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2','L')]).
% 82.04/82.46 cnf('0.2706.0.4',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,unit),ld(X2,unit))) = ld(mult(X1,mult(ld(X1,unit),X2)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2706.0.3','0.2692.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.2706.1.0',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,unit),ld(X2,unit))) = ld(mult(X1,mult(ld(X1,unit),X2)),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2706.0.4']),
% 82.04/82.46 [weight('<189,2704,16,[1,0,0,3]>')]).
% 82.04/82.46 cnf('0.2706.2.0',plain,
% 82.04/82.46 ( mult(X1,mult(ld(X1,unit),ld(X2,unit))) = ld(mult(X1,mult(ld(X1,unit),X2)),unit) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2706.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2582]).
% 82.04/82.46 cnf('0.2710.0.0',plain,
% 82.04/82.46 ( mult(ld(X1,unit),ld(X2,unit)) = ld(X1,ld(mult(X1,mult(ld(X1,unit),X2)),unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4.2.0','0.2706.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2710.1.0',plain,
% 82.04/82.46 ( mult(ld(X1,unit),ld(X2,unit)) = ld(X1,ld(mult(X1,mult(ld(X1,unit),X2)),unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2710.0.0']),
% 82.04/82.46 [weight('<227,2706,4,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2710.2.0',plain,
% 82.04/82.46 ( ld(X1,ld(mult(X1,mult(ld(X1,unit),X2)),unit)) = mult(ld(X1,unit),ld(X2,unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2710.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2586]).
% 82.04/82.46 cnf('0.2712.0.0',plain,
% 82.04/82.46 ( mult(ld(X1,unit),ld(ld(X1,X2),unit)) = ld(X1,ld(mult(X1,ld(X1,mult(ld(X1,unit),X2))),unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2710.2.0','0.214.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1.2','L')]).
% 82.04/82.46 cnf('0.2712.0.1',plain,
% 82.04/82.46 ( mult(ld(X1,unit),ld(ld(X1,X2),unit)) = ld(X1,ld(mult(ld(X1,unit),X2),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2712.0.0','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.1','L')]).
% 82.04/82.46 cnf('0.2712.1.0',plain,
% 82.04/82.46 ( mult(ld(X1,unit),ld(ld(X1,X2),unit)) = ld(X1,ld(mult(ld(X1,unit),X2),unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2712.0.1']),
% 82.04/82.46 [weight('<189,2710,214,[1,0,0,5]>')]).
% 82.04/82.46 cnf('0.2712.2.0',plain,
% 82.04/82.46 ( mult(ld(X1,unit),ld(ld(X1,X2),unit)) = ld(X1,ld(mult(ld(X1,unit),X2),unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2712.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2588]).
% 82.04/82.46 cnf('0.2714.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(mult(ld(ld(X1,unit),unit),X2),unit)) = mult(X1,ld(ld(ld(X1,unit),X2),unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2712.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2714.0.1',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(mult(X1,X2),unit)) = mult(X1,ld(ld(ld(X1,unit),X2),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2714.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1.1','L')]).
% 82.04/82.46 cnf('0.2714.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(mult(X1,X2),unit)) = mult(X1,ld(ld(ld(X1,unit),X2),unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2714.0.1']),
% 82.04/82.46 [weight('<189,2712,16,[1,0,0,1]>')]).
% 82.04/82.46 cnf('0.2714.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(ld(ld(X1,unit),X2),unit)) = ld(ld(X1,unit),ld(mult(X1,X2),unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2714.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_2590]).
% 82.04/82.46 cnf('0.2722.0.0',plain,
% 82.04/82.46 ( mult(ld(ld(X1,unit),unit),ld(ld(X1,ld(ld(X1,unit),X2)),unit)) = ld(ld(X1,unit),ld(mult(ld(X1,unit),ld(X1,ld(ld(X1,unit),mult(mult(X1,unit),X2)))),unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2710.2.0','0.2152.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1.2','L')]).
% 82.04/82.46 cnf('0.2722.0.1',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X1,ld(ld(X1,unit),X2)),unit)) = ld(ld(X1,unit),ld(mult(ld(X1,unit),ld(X1,ld(ld(X1,unit),mult(mult(X1,unit),X2)))),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2722.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.2722.0.2',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X1,ld(ld(X1,unit),X2)),unit)) = ld(ld(X1,unit),ld(ld(X1,mult(ld(X1,unit),ld(ld(X1,unit),mult(mult(X1,unit),X2)))),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2722.0.1','0.214.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.1','L')]).
% 82.04/82.46 cnf('0.2722.0.3',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X1,ld(ld(X1,unit),X2)),unit)) = ld(ld(X1,unit),ld(ld(X1,mult(mult(X1,unit),X2)),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2722.0.2','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.1.2','L')]).
% 82.04/82.46 cnf('0.2722.0.4',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X1,ld(ld(X1,unit),X2)),unit)) = ld(ld(X1,unit),ld(ld(X1,mult(X1,X2)),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2722.0.3','0.2.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.1.2.1','L')]).
% 82.04/82.46 cnf('0.2722.0.5',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X1,ld(ld(X1,unit),X2)),unit)) = ld(ld(X1,unit),ld(X2,unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2722.0.4','0.4.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.1','L')]).
% 82.04/82.46 cnf('0.2722.1.0',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X1,ld(ld(X1,unit),X2)),unit)) = ld(ld(X1,unit),ld(X2,unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2722.0.5']),
% 82.04/82.46 [weight('<227,2710,2152,[1,0,0,5]>')]).
% 82.04/82.46 cnf('0.2722.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(ld(X1,ld(ld(X1,unit),X2)),unit)) = ld(ld(X1,unit),ld(X2,unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2722.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2598]).
% 82.04/82.46 cnf('0.2724.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(ld(X1,unit),X2)),unit) = ld(X1,ld(ld(X1,unit),ld(X2,unit))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4.2.0','0.2722.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2724.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(ld(X1,unit),X2)),unit) = ld(X1,ld(ld(X1,unit),ld(X2,unit))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2724.0.0']),
% 82.04/82.46 [weight('<189,2722,4,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2724.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(ld(X1,unit),X2)),unit) = ld(X1,ld(ld(X1,unit),ld(X2,unit))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2724.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2600]).
% 82.04/82.46 cnf('0.2870.0.0',plain,
% 82.04/82.46 ( ld(X1,ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),X1)))) = ld(ld(X2,ld(X1,ld(ld(X2,X1),X1))),unit) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2608.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.1','L')]).
% 82.04/82.46 cnf('0.2870.0.1',plain,
% 82.04/82.46 ( ld(X1,ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),X1)))) = ld(ld(X2,ld(X1,X2)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2870.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1.2.2','L')]).
% 82.04/82.46 cnf('0.2870.1.0',plain,
% 82.04/82.46 ( ld(X1,ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),X1)))) = ld(ld(X2,ld(X1,X2)),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2870.0.1']),
% 82.04/82.46 [weight('<293,2608,16,[1,0,0,2]>')]).
% 82.04/82.46 cnf('0.2870.1.1',plain,
% 82.04/82.46 ( ld(X1,ld(ld(X2,X1),mult(X1,mult(X1,ld(X2,X1))))) = ld(ld(X2,ld(X1,X2)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.2870.1.0','0.5.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2','L')]).
% 82.04/82.46 cnf('0.2870.2.0',plain,
% 82.04/82.46 ( ld(X1,ld(ld(X2,X1),mult(X1,mult(X1,ld(X2,X1))))) = ld(ld(X2,ld(X1,X2)),unit) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2870.1.1',theory(equality)]),
% 82.04/82.46 [u,rule_2746]).
% 82.04/82.46 cnf('0.2872.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),mult(X2,mult(X2,ld(X1,X2)))) = mult(X2,ld(ld(X1,ld(X2,X1)),unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1.2.0','0.2870.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.2872.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),mult(X2,mult(X2,ld(X1,X2)))) = mult(X2,ld(ld(X1,ld(X2,X1)),unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.2872.0.0']),
% 82.04/82.46 [weight('<251,2870,1,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.2872.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),mult(X2,mult(X2,ld(X1,X2)))) = mult(X2,ld(ld(X1,ld(X2,X1)),unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.2872.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_2748]).
% 82.04/82.46 cnf('0.3060.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(mult(ld(ld(X1,X2),unit),X2),unit)) = mult(ld(ld(X1,X2),unit),ld(X1,unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2712.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1','L')]).
% 82.04/82.46 cnf('0.3060.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(mult(ld(ld(X1,X2),unit),X2),unit)) = mult(ld(ld(X1,X2),unit),ld(X1,unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.3060.0.0']),
% 82.04/82.46 [weight('<321,2712,16,[1,0,0,5]>')]).
% 82.04/82.46 cnf('0.3060.1.1',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(mult(X2,ld(ld(X1,X2),unit)),unit)) = mult(ld(ld(X1,X2),unit),ld(X1,unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3060.1.0','0.5.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1','L')]).
% 82.04/82.46 cnf('0.3060.1.2',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(mult(X2,ld(ld(X1,X2),unit)),unit)) = mult(ld(X1,unit),ld(ld(X1,X2),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3060.1.1','0.5.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.3060.1.3',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(mult(X2,ld(ld(X1,X2),unit)),unit)) = ld(X1,ld(mult(ld(X1,unit),X2),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3060.1.2','0.2712.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.3060.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(mult(X2,ld(ld(X1,X2),unit)),unit)) = ld(X1,ld(mult(ld(X1,unit),X2),unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.3060.1.3',theory(equality)]),
% 82.04/82.46 [u,rule_2935]).
% 82.04/82.46 cnf('0.3438.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(ld(mult(X1,X2),X1),unit)) = ld(mult(X1,X2),mult(X1,mult(ld(ld(X1,unit),X2),ld(X1,mult(X1,X2))))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2382.2.0','0.2130.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.3438.0.1',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(ld(mult(X1,X2),X1),unit)) = ld(mult(X1,X2),mult(X1,mult(ld(ld(X1,unit),X2),X2))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3438.0.0','0.4.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.2','L')]).
% 82.04/82.46 cnf('0.3438.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(ld(mult(X1,X2),X1),unit)) = ld(mult(X1,X2),mult(X1,mult(ld(ld(X1,unit),X2),X2))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.3438.0.1']),
% 82.04/82.46 [weight('<349,2382,2130,[1,0,0,2]>')]).
% 82.04/82.46 cnf('0.3438.1.1',plain,
% 82.04/82.46 ( ld(ld(X1,unit),ld(ld(mult(X1,X2),X1),unit)) = ld(mult(X1,X2),mult(X1,mult(X2,ld(ld(X1,unit),X2)))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3438.1.0','0.5.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2','L')]).
% 82.04/82.46 cnf('0.3438.2.0',plain,
% 82.04/82.46 ( ld(mult(X1,X2),mult(X1,mult(X2,ld(ld(X1,unit),X2)))) = ld(ld(X1,unit),ld(ld(mult(X1,X2),X1),unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.3438.1.1',theory(equality)]),
% 82.04/82.46 [x,rule_3309]).
% 82.04/82.46 cnf('0.3440.0.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,unit),unit),ld(ld(mult(ld(X1,unit),ld(X1,ld(ld(X1,unit),X2))),ld(X1,unit)),unit)) = ld(mult(ld(X1,unit),ld(X1,ld(ld(X1,unit),X2))),ld(X1,mult(X2,mult(X1,mult(ld(X1,unit),ld(ld(ld(X1,unit),unit),ld(X1,ld(ld(X1,unit),X2)))))))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.3438.2.0','0.2080.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.3440.0.1',plain,
% 82.04/82.46 ( ld(X1,ld(ld(mult(ld(X1,unit),ld(X1,ld(ld(X1,unit),X2))),ld(X1,unit)),unit)) = ld(mult(ld(X1,unit),ld(X1,ld(ld(X1,unit),X2))),ld(X1,mult(X2,mult(X1,mult(ld(X1,unit),ld(ld(ld(X1,unit),unit),ld(X1,ld(ld(X1,unit),X2)))))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3440.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.3440.0.2',plain,
% 82.04/82.46 ( ld(X1,ld(ld(ld(X1,mult(ld(X1,unit),ld(ld(X1,unit),X2))),ld(X1,unit)),unit)) = ld(mult(ld(X1,unit),ld(X1,ld(ld(X1,unit),X2))),ld(X1,mult(X2,mult(X1,mult(ld(X1,unit),ld(ld(ld(X1,unit),unit),ld(X1,ld(ld(X1,unit),X2)))))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3440.0.1','0.214.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1.1','L')]).
% 82.04/82.46 cnf('0.3440.0.3',plain,
% 82.04/82.46 ( ld(X1,ld(ld(ld(X1,X2),ld(X1,unit)),unit)) = ld(mult(ld(X1,unit),ld(X1,ld(ld(X1,unit),X2))),ld(X1,mult(X2,mult(X1,mult(ld(X1,unit),ld(ld(ld(X1,unit),unit),ld(X1,ld(ld(X1,unit),X2)))))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3440.0.2','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1.1.2','L')]).
% 82.04/82.46 cnf('0.3440.0.4',plain,
% 82.04/82.46 ( ld(X1,ld(ld(ld(X1,X2),ld(X1,unit)),unit)) = ld(ld(X1,mult(ld(X1,unit),ld(ld(X1,unit),X2))),ld(X1,mult(X2,mult(X1,mult(ld(X1,unit),ld(ld(ld(X1,unit),unit),ld(X1,ld(ld(X1,unit),X2)))))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3440.0.3','0.214.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1','L')]).
% 82.04/82.46 cnf('0.3440.0.5',plain,
% 82.04/82.46 ( ld(X1,ld(ld(ld(X1,X2),ld(X1,unit)),unit)) = ld(ld(X1,X2),ld(X1,mult(X2,mult(X1,mult(ld(X1,unit),ld(ld(ld(X1,unit),unit),ld(X1,ld(ld(X1,unit),X2)))))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3440.0.4','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1.2','L')]).
% 82.04/82.46 cnf('0.3440.0.6',plain,
% 82.04/82.46 ( ld(X1,ld(ld(ld(X1,X2),ld(X1,unit)),unit)) = ld(ld(X1,X2),ld(X1,mult(X2,mult(X1,ld(ld(ld(X1,unit),unit),mult(ld(X1,unit),ld(X1,ld(ld(X1,unit),X2)))))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3440.0.5','0.218.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.2.2','L')]).
% 82.04/82.46 cnf('0.3440.0.7',plain,
% 82.04/82.46 ( ld(X1,ld(ld(ld(X1,X2),ld(X1,unit)),unit)) = ld(ld(X1,X2),ld(X1,mult(X2,mult(X1,ld(X1,mult(ld(X1,unit),ld(X1,ld(ld(X1,unit),X2)))))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3440.0.6','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.2.2.1','L')]).
% 82.04/82.46 cnf('0.3440.0.8',plain,
% 82.04/82.46 ( ld(X1,ld(ld(ld(X1,X2),ld(X1,unit)),unit)) = ld(ld(X1,X2),ld(X1,mult(X2,mult(ld(X1,unit),ld(X1,ld(ld(X1,unit),X2)))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3440.0.7','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.2','L')]).
% 82.04/82.46 cnf('0.3440.0.9',plain,
% 82.04/82.46 ( ld(X1,ld(ld(ld(X1,X2),ld(X1,unit)),unit)) = ld(ld(X1,X2),ld(X1,mult(X2,ld(X1,mult(ld(X1,unit),ld(ld(X1,unit),X2)))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3440.0.8','0.214.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.2','L')]).
% 82.04/82.46 cnf('0.3440.0.10',plain,
% 82.04/82.46 ( ld(X1,ld(ld(ld(X1,X2),ld(X1,unit)),unit)) = ld(ld(X1,X2),ld(X1,mult(X2,ld(X1,X2)))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3440.0.9','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.2.2','L')]).
% 82.04/82.46 cnf('0.3440.1.0',plain,
% 82.04/82.46 ( ld(X1,ld(ld(ld(X1,X2),ld(X1,unit)),unit)) = ld(ld(X1,X2),ld(X1,mult(X2,ld(X1,X2)))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.3440.0.10']),
% 82.04/82.46 [weight('<275,3438,2080,[1,0,0,4]>')]).
% 82.04/82.46 cnf('0.3440.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(X1,mult(X2,ld(X1,X2)))) = ld(X1,ld(ld(ld(X1,X2),ld(X1,unit)),unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.3440.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_3311]).
% 82.04/82.46 cnf('0.3442.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(ld(ld(ld(X1,X2),X2),ld(ld(X1,X2),unit)),unit)) = ld(X1,ld(ld(X1,X2),mult(X2,ld(ld(X1,X2),X2)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.3440.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.3442.0.1',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(ld(X1,ld(ld(X1,X2),unit)),unit)) = ld(X1,ld(ld(X1,X2),mult(X2,ld(ld(X1,X2),X2)))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3442.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1.1','L')]).
% 82.04/82.46 cnf('0.3442.0.2',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(X1,ld(ld(X1,ld(X2,unit)),unit))) = ld(X1,ld(ld(X1,X2),mult(X2,ld(ld(X1,X2),X2)))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3442.0.1','0.2444.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.3442.0.3',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(X1,ld(ld(X1,ld(X2,unit)),unit))) = ld(X1,ld(ld(X1,X2),mult(X2,X1))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3442.0.2','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.2','L')]).
% 82.04/82.46 cnf('0.3442.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(X1,ld(ld(X1,ld(X2,unit)),unit))) = ld(X1,ld(ld(X1,X2),mult(X2,X1))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.3442.0.3']),
% 82.04/82.46 [weight('<321,3440,16,[1,0,0,1]>')]).
% 82.04/82.46 cnf('0.3442.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(X1,ld(ld(X1,ld(X2,unit)),unit))) = ld(X1,ld(ld(X1,X2),mult(X2,X1))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.3442.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_3313]).
% 82.04/82.46 cnf('0.3444.0.0',plain,
% 82.04/82.46 ( ld(X1,ld(ld(X1,ld(X2,unit)),unit)) = mult(ld(X1,X2),ld(X1,ld(ld(X1,X2),mult(X2,X1)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1.2.0','0.3442.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.3444.0.1',plain,
% 82.04/82.46 ( ld(X1,ld(ld(X1,ld(X2,unit)),unit)) = ld(X1,mult(X2,ld(X1,ld(X2,mult(X1,mult(X2,X1)))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3444.0.0','0.2386.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.3444.1.0',plain,
% 82.04/82.46 ( ld(X1,ld(ld(X1,ld(X2,unit)),unit)) = ld(X1,mult(X2,ld(X1,ld(X2,mult(X1,mult(X2,X1)))))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.3444.0.1']),
% 82.04/82.46 [weight('<321,3442,1,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.3444.2.0',plain,
% 82.04/82.46 ( ld(X1,mult(X2,ld(X1,ld(X2,mult(X1,mult(X2,X1)))))) = ld(X1,ld(ld(X1,ld(X2,unit)),unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.3444.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_3315]).
% 82.04/82.46 cnf('0.3446.0.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,ld(X1,mult(X2,mult(X1,X2))))) = mult(X2,ld(X2,ld(ld(X2,ld(X1,unit)),unit))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.1.2.0','0.3444.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.3446.0.1',plain,
% 82.04/82.46 ( mult(X1,ld(X2,ld(X1,mult(X2,mult(X1,X2))))) = ld(ld(X2,ld(X1,unit)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3446.0.0','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.3446.1.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,ld(X1,mult(X2,mult(X1,X2))))) = ld(ld(X2,ld(X1,unit)),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.3446.0.1']),
% 82.04/82.46 [weight('<227,3444,1,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.3446.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,ld(X1,mult(X2,mult(X1,X2))))) = ld(ld(X2,ld(X1,unit)),unit) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.3446.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_3317]).
% 82.04/82.46 cnf('0.3448.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,unit)),unit) = mult(X2,ld(X1,ld(X2,mult(X1,mult(X1,X2))))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.3446.2.0','0.5.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2.2','L')]).
% 82.04/82.46 cnf('0.3448.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,unit)),unit) = mult(X2,ld(X1,ld(X2,mult(X1,mult(X1,X2))))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.3448.0.0']),
% 82.04/82.46 [weight('<227,3446,5,[1,0,0,8]>')]).
% 82.04/82.46 cnf('0.3448.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,ld(X1,mult(X2,mult(X2,X1))))) = ld(ld(X2,ld(X1,unit)),unit) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.3448.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_3319]).
% 82.04/82.46 cnf('0.3450.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(ld(X2,X1),unit)),unit) = mult(ld(X2,X1),ld(X1,mult(X1,ld(ld(X2,ld(X1,X2)),unit)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.3448.2.0','0.2872.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.3450.0.1',plain,
% 82.04/82.46 ( ld(ld(X1,ld(ld(X2,X1),unit)),unit) = mult(ld(X2,X1),ld(ld(X2,ld(X1,X2)),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3450.0.0','0.4.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2','L')]).
% 82.04/82.46 cnf('0.3450.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(ld(X2,X1),unit)),unit) = mult(ld(X2,X1),ld(ld(X2,ld(X1,X2)),unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.3450.0.1']),
% 82.04/82.46 [weight('<251,3448,2872,[1,0,0,4]>')]).
% 82.04/82.46 cnf('0.3450.2.0',plain,
% 82.04/82.46 ( mult(ld(X1,X2),ld(ld(X1,ld(X2,X1)),unit)) = ld(ld(X2,ld(ld(X1,X2),unit)),unit) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.3450.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_3321]).
% 82.04/82.46 cnf('0.3744.0.0',plain,
% 82.04/82.46 ( ld(X1,ld(X2,mult(X1,mult(X2,ld(X1,mult(X2,X2)))))) = ld(ld(X2,X1),ld(X1,ld(X2,mult(mult(X2,X2),X1)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2606.2.0','0.68.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2','L')]).
% 82.04/82.46 cnf('0.3744.0.1',plain,
% 82.04/82.46 ( ld(X1,ld(X2,mult(X1,mult(X2,ld(X1,mult(X2,X2)))))) = ld(ld(X2,X1),ld(ld(X1,ld(X2,X1)),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3744.0.0','0.802.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2','L')]).
% 82.04/82.46 cnf('0.3744.1.0',plain,
% 82.04/82.46 ( ld(X1,ld(X2,mult(X1,mult(X2,ld(X1,mult(X2,X2)))))) = ld(ld(X2,X1),ld(ld(X1,ld(X2,X1)),unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.3744.0.1']),
% 82.04/82.46 [weight('<349,2606,68,[1,0,0,6]>')]).
% 82.04/82.46 cnf('0.3744.2.0',plain,
% 82.04/82.46 ( ld(X1,ld(X2,mult(X1,mult(X2,ld(X1,mult(X2,X2)))))) = ld(ld(X2,X1),ld(ld(X1,ld(X2,X1)),unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.3744.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_3614]).
% 82.04/82.46 cnf('0.3746.0.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,unit),X2),ld(X2,ld(ld(X1,unit),X2))) = ld(ld(ld(X1,unit),ld(ld(X2,X1),unit)),unit) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2610.2.0','0.2392.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.3746.1.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,unit),X2),ld(X2,ld(ld(X1,unit),X2))) = ld(ld(ld(X1,unit),ld(ld(X2,X1),unit)),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.3746.0.0']),
% 82.04/82.46 [weight('<349,2610,2392,[1,0,0,1]>')]).
% 82.04/82.46 cnf('0.3746.2.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,unit),X2),ld(X2,ld(ld(X1,unit),X2))) = ld(ld(ld(X1,unit),ld(ld(X2,X1),unit)),unit) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.3746.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_3616]).
% 82.04/82.46 cnf('0.3789.0.0',plain,
% 82.04/82.46 ( false = eq(ld(mult(ld(ld(X1,unit),mult(X1,ld(X2,X3))),X2),X3),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2077.2.0','0.1.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.2','L')]).
% 82.04/82.46 cnf('0.3789.1.0',plain,
% 82.04/82.46 ( false = eq(ld(mult(ld(ld(X1,unit),mult(X1,ld(X2,X3))),X2),X3),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.3789.0.0']),
% 82.04/82.46 [weight('<120,2077,1,[1,0,0,11]>')]).
% 82.04/82.46 cnf('0.3789.1.1',plain,
% 82.04/82.46 ( false = eq(ld(mult(X2,ld(ld(X1,unit),mult(ld(X2,X3),X1))),X3),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.3789.1.0','0.1756.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.1.1','R')]).
% 82.04/82.46 cnf('0.3789.2.0',plain,
% 82.04/82.46 ( eq(ld(mult(X1,ld(ld(X2,unit),mult(ld(X1,X3),X2))),X3),mult(mult(op_b,op_b),mult(op_a,op_a))) = false ),
% 82.04/82.46 inference(orient,[status(thm)],['0.3789.1.1',theory(equality)]),
% 82.04/82.46 [x,rule_3659]).
% 82.04/82.46 cnf('0.3916.0.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,X2),ld(ld(X2,ld(X1,X2)),unit)),unit) = mult(ld(X2,ld(X1,X2)),ld(ld(X2,X1),unit)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.3450.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1.2','L')]).
% 82.04/82.46 cnf('0.3916.1.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,X2),ld(ld(X2,ld(X1,X2)),unit)),unit) = mult(ld(X2,ld(X1,X2)),ld(ld(X2,X1),unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.3916.0.0']),
% 82.04/82.46 [weight('<349,3450,16,[1,0,0,7]>')]).
% 82.04/82.46 cnf('0.3916.2.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,X2),ld(ld(X2,ld(X1,X2)),unit)),unit) = mult(ld(X2,ld(X1,X2)),ld(ld(X2,X1),unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.3916.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_3783]).
% 82.04/82.46 cnf('0.4626.0.0',plain,
% 82.04/82.46 ( 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))))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.2390.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2.2.1','L')]).
% 82.04/82.46 cnf('0.4626.0.1',plain,
% 82.04/82.46 ( mult(X1,ld(X2,ld(X1,X3))) = ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),ld(X1,ld(X2,X3))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.4626.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.1','L')]).
% 82.04/82.46 cnf('0.4626.1.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,ld(X1,X3))) = ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),ld(X1,ld(X2,X3))))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.4626.0.1']),
% 82.04/82.46 [weight('<367,2390,16,[1,0,0,9]>')]).
% 82.04/82.46 cnf('0.4626.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),mult(X2,mult(ld(X1,X2),ld(X2,ld(X1,X3))))) = mult(X2,ld(X1,ld(X2,X3))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.4626.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_4469]).
% 82.04/82.46 cnf('0.4630.0.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,ld(X1,mult(X2,X3)))) = ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),ld(X1,X3)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4626.2.0','0.4.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2.2','L')]).
% 82.04/82.46 cnf('0.4630.1.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,ld(X1,mult(X2,X3)))) = ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),ld(X1,X3)))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.4630.0.0']),
% 82.04/82.46 [weight('<321,4626,4,[1,0,0,12]>')]).
% 82.04/82.46 cnf('0.4630.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),mult(X2,mult(ld(X1,X2),ld(X2,X3)))) = mult(X2,ld(X1,ld(X2,mult(X1,X3)))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.4630.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_4473]).
% 82.04/82.46 cnf('0.4632.0.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,ld(X1,mult(X2,mult(X1,X3))))) = ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),X3))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4630.2.0','0.4.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2','L')]).
% 82.04/82.46 cnf('0.4632.1.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,ld(X1,mult(X2,mult(X1,X3))))) = ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),X3))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.4632.0.0']),
% 82.04/82.46 [weight('<275,4630,4,[1,0,0,10]>')]).
% 82.04/82.46 cnf('0.4632.2.0',plain,
% 82.04/82.46 ( mult(X1,ld(X2,ld(X1,mult(X2,mult(X1,X3))))) = ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),X3))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.4632.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_4475]).
% 82.04/82.46 cnf('0.4654.0.0',plain,
% 82.04/82.46 ( ld(X1,ld(X2,mult(X1,mult(X2,X3)))) = ld(X2,ld(ld(X1,X2),mult(X2,mult(ld(X1,X2),X3)))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4.2.0','0.4632.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.4654.1.0',plain,
% 82.04/82.46 ( ld(X1,ld(X2,mult(X1,mult(X2,X3)))) = ld(X2,ld(ld(X1,X2),mult(X2,mult(ld(X1,X2),X3)))) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.4654.0.0']),
% 82.04/82.46 [weight('<321,4632,4,[0,0,0,2]>')]).
% 82.04/82.46 cnf('0.4654.2.0',plain,
% 82.04/82.46 ( ld(X1,ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),X3)))) = ld(X2,ld(X1,mult(X2,mult(X1,X3)))) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.4654.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_4497]).
% 82.04/82.46 cnf('0.4748.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,X1)),ld(ld(ld(X2,X1),ld(X1,ld(X2,X1))),unit)) = ld(ld(X2,X1),ld(X1,mult(ld(X2,X1),mult(X1,ld(ld(X2,ld(X1,unit)),unit))))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.3744.2.0','0.2442.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2.2.2.2','L')]).
% 82.04/82.46 cnf('0.4748.0.1',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,X1)),ld(X1,ld(X2,mult(X1,mult(X2,X1))))) = ld(ld(X2,X1),ld(X1,mult(ld(X2,X1),mult(X1,ld(ld(X2,ld(X1,unit)),unit))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.4748.0.0','0.2608.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.2','L')]).
% 82.04/82.46 cnf('0.4748.0.2',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,X1)),ld(X1,ld(X2,mult(X1,mult(X2,X1))))) = ld(X1,ld(X2,mult(X1,mult(X2,ld(X1,mult(X1,ld(ld(X2,ld(X1,unit)),unit))))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.4748.0.1','0.2606.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.4748.0.3',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,X1)),ld(X1,ld(X2,mult(X1,mult(X2,X1))))) = ld(X1,ld(X2,mult(X1,mult(X2,ld(ld(X2,ld(X1,unit)),unit))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.4748.0.2','0.4.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.2.2','L')]).
% 82.04/82.46 cnf('0.4748.0.4',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,X1)),ld(X1,ld(X2,mult(X1,mult(X2,X1))))) = ld(X1,ld(X2,mult(X1,ld(ld(X2,ld(mult(X1,X2),unit)),unit)))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.4748.0.3','0.2450.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2.2','L')]).
% 82.04/82.46 cnf('0.4748.0.5',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,X1)),ld(X1,ld(X2,mult(X1,mult(X2,X1))))) = ld(X1,ld(X2,mult(mult(X1,X2),mult(X1,X2)))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.4748.0.4','0.2452.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2.2','L')]).
% 82.04/82.46 cnf('0.4748.0.6',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,X1)),ld(X1,ld(X2,mult(X1,mult(X2,X1))))) = ld(ld(X1,ld(X2,unit)),unit) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.4748.0.5','0.1212.2.0',theory(equality)]),
% 82.04/82.46 [pos('R','L')]).
% 82.04/82.46 cnf('0.4748.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,X1)),ld(X1,ld(X2,mult(X1,mult(X2,X1))))) = ld(ld(X1,ld(X2,unit)),unit) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.4748.0.6']),
% 82.04/82.46 [weight('<367,3744,2442,[1,0,0,8]>')]).
% 82.04/82.46 cnf('0.4748.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(X2,X1)),ld(X1,ld(X2,mult(X1,mult(X2,X1))))) = ld(ld(X1,ld(X2,unit)),unit) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.4748.1.0',theory(equality)]),
% 82.04/82.46 [u,rule_4591]).
% 82.04/82.46 cnf('0.4750.0.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(ld(X2,X1),unit)),unit) = ld(ld(X1,X2),ld(X1,ld(ld(X2,X1),mult(X1,mult(ld(X2,X1),X1))))) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4748.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1.2','L')]).
% 82.04/82.46 cnf('0.4750.0.1',plain,
% 82.04/82.46 ( ld(ld(X1,ld(ld(X2,X1),unit)),unit) = ld(ld(X1,X2),ld(X2,ld(X1,mult(X2,mult(X1,X1))))) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.4750.0.0','0.4654.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2','L')]).
% 82.04/82.46 cnf('0.4750.0.2',plain,
% 82.04/82.46 ( ld(ld(X1,ld(ld(X2,X1),unit)),unit) = ld(ld(X1,X2),ld(ld(X2,ld(X1,X2)),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.4750.0.1','0.804.2.0',theory(equality)]),
% 82.04/82.46 [pos('R.2','L')]).
% 82.04/82.46 cnf('0.4750.1.0',plain,
% 82.04/82.46 ( ld(ld(X1,ld(ld(X2,X1),unit)),unit) = ld(ld(X1,X2),ld(ld(X2,ld(X1,X2)),unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.4750.0.2']),
% 82.04/82.46 [weight('<251,4748,16,[1,0,0,3]>')]).
% 82.04/82.46 cnf('0.4750.2.0',plain,
% 82.04/82.46 ( ld(ld(X1,X2),ld(ld(X2,ld(X1,X2)),unit)) = ld(ld(X1,ld(ld(X2,X1),unit)),unit) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.4750.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_4593]).
% 82.04/82.46 cnf('0.4752.0.0',plain,
% 82.04/82.46 ( ld(ld(ld(X1,X2),ld(ld(X2,ld(X1,X2)),unit)),unit) = mult(ld(X2,ld(X1,X2)),ld(ld(X2,X1),unit)) ),
% 82.04/82.46 inference(interreduction_right,[status(thm)],['0.3916.2.0'])).
% 82.04/82.46 cnf('0.4752.0.1',plain,
% 82.04/82.46 ( ld(ld(ld(X1,ld(ld(X2,X1),unit)),unit),unit) = mult(ld(X2,ld(X1,X2)),ld(ld(X2,X1),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.4752.0.0','0.4750.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.4752.0.2',plain,
% 82.04/82.46 ( ld(X1,ld(ld(X2,X1),unit)) = mult(ld(X2,ld(X1,X2)),ld(ld(X2,X1),unit)) ),
% 82.04/82.46 inference(reduction,[status(thm)],['0.4752.0.1','0.16.2.0',theory(equality)]),
% 82.04/82.46 [pos('L','L')]).
% 82.04/82.46 cnf('0.4752.1.0',plain,
% 82.04/82.46 ( ld(X1,ld(ld(X2,X1),unit)) = mult(ld(X2,ld(X1,X2)),ld(ld(X2,X1),unit)) ),
% 82.04/82.46 inference(weigh,[status(thm)],['0.4752.0.2']),
% 82.04/82.46 [weight('<227,3916,4750,[0,0,0,0]>')]).
% 82.04/82.46 cnf('0.4752.2.0',plain,
% 82.04/82.46 ( mult(ld(X1,ld(X2,X1)),ld(ld(X1,X2),unit)) = ld(X2,ld(ld(X1,X2),unit)) ),
% 82.04/82.46 inference(orient,[status(thm)],['0.4752.1.0',theory(equality)]),
% 82.04/82.46 [x,rule_4595]).
% 82.04/82.46 cnf('0.4764.0.0',plain,
% 82.04/82.46 ( 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)) ),
% 82.04/82.46 inference(cp,[status(thm)],['0.4752.2.0','0.3746.2.0',theory(equality)]),
% 82.04/82.46 [pos('L.1','L')]).
% 82.04/82.46 cnf('0.4764.0.1',plain,
% 82.04/82.46 ( 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)) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4764.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.47 [pos('L.2.1','L')]).
% 82.04/82.47 cnf('0.4764.0.2',plain,
% 82.04/82.47 ( ld(X1,X2) = mult(ld(ld(ld(X2,unit),ld(ld(X1,X2),unit)),unit),ld(ld(ld(ld(X2,unit),X1),X1),unit)) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4764.0.1','0.16.2.0',theory(equality)]),
% 82.04/82.47 [pos('L.2','L')]).
% 82.04/82.47 cnf('0.4764.0.3',plain,
% 82.04/82.47 ( ld(X1,X2) = mult(ld(ld(ld(X2,unit),ld(ld(X1,X2),unit)),unit),ld(ld(X2,unit),unit)) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4764.0.2','0.16.2.0',theory(equality)]),
% 82.04/82.47 [pos('R.2.1','L')]).
% 82.04/82.47 cnf('0.4764.0.4',plain,
% 82.04/82.47 ( ld(X1,X2) = mult(ld(ld(ld(X2,unit),ld(ld(X1,X2),unit)),unit),X2) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4764.0.3','0.16.2.0',theory(equality)]),
% 82.04/82.47 [pos('R.2','L')]).
% 82.04/82.47 cnf('0.4764.1.0',plain,
% 82.04/82.47 ( ld(X1,X2) = mult(ld(ld(ld(X2,unit),ld(ld(X1,X2),unit)),unit),X2) ),
% 82.04/82.47 inference(weigh,[status(thm)],['0.4764.0.4']),
% 82.04/82.47 [weight('<237,4752,3746,[1,0,0,1]>')]).
% 82.04/82.47 cnf('0.4764.1.1',plain,
% 82.04/82.47 ( ld(X1,X2) = mult(X2,ld(ld(ld(X2,unit),ld(ld(X1,X2),unit)),unit)) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4764.1.0','0.5.2.0',theory(equality)]),
% 82.04/82.47 [pos('R','L')]).
% 82.04/82.47 cnf('0.4764.1.2',plain,
% 82.04/82.47 ( ld(X1,X2) = ld(ld(X2,unit),ld(mult(X2,ld(ld(X1,X2),unit)),unit)) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4764.1.1','0.2714.2.0',theory(equality)]),
% 82.04/82.47 [pos('R','L')]).
% 82.04/82.47 cnf('0.4764.2.0',plain,
% 82.04/82.47 ( ld(ld(X1,unit),ld(mult(X1,ld(ld(X2,X1),unit)),unit)) = ld(X2,X1) ),
% 82.04/82.47 inference(orient,[status(thm)],['0.4764.1.2',theory(equality)]),
% 82.04/82.47 [x,rule_4607]).
% 82.04/82.47 cnf('0.4766.0.0',plain,
% 82.04/82.47 ( ld(X1,unit) = ld(ld(X2,X1),ld(mult(X1,ld(ld(X2,X1),unit)),unit)) ),
% 82.04/82.47 inference(cp,[status(thm)],['0.16.2.0','0.4764.2.0',theory(equality)]),
% 82.04/82.47 [pos('L.1','L')]).
% 82.04/82.47 cnf('0.4766.0.1',plain,
% 82.04/82.47 ( ld(X1,unit) = ld(X2,ld(mult(ld(X2,unit),X1),unit)) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4766.0.0','0.3060.2.0',theory(equality)]),
% 82.04/82.47 [pos('R','L')]).
% 82.04/82.47 cnf('0.4766.1.0',plain,
% 82.04/82.47 ( ld(X1,unit) = ld(X2,ld(mult(ld(X2,unit),X1),unit)) ),
% 82.04/82.47 inference(weigh,[status(thm)],['0.4766.0.1']),
% 82.04/82.47 [weight('<129,4764,16,[0,0,0,1]>')]).
% 82.04/82.47 cnf('0.4766.2.0',plain,
% 82.04/82.47 ( ld(X1,ld(mult(ld(X1,unit),X2),unit)) = ld(X2,unit) ),
% 82.04/82.47 inference(orient,[status(thm)],['0.4766.1.0',theory(equality)]),
% 82.04/82.47 [x,rule_4609]).
% 82.04/82.47 cnf('0.4768.0.0',plain,
% 82.04/82.47 ( ld(mult(ld(X1,unit),X2),unit) = mult(X1,ld(X2,unit)) ),
% 82.04/82.47 inference(cp,[status(thm)],['0.1.2.0','0.4766.2.0',theory(equality)]),
% 82.04/82.47 [pos('L.2','L')]).
% 82.04/82.47 cnf('0.4768.1.0',plain,
% 82.04/82.47 ( ld(mult(ld(X1,unit),X2),unit) = mult(X1,ld(X2,unit)) ),
% 82.04/82.47 inference(weigh,[status(thm)],['0.4768.0.0']),
% 82.04/82.47 [weight('<103,4766,1,[0,0,0,2]>')]).
% 82.04/82.47 cnf('0.4768.2.0',plain,
% 82.04/82.47 ( ld(mult(ld(X1,unit),X2),unit) = mult(X1,ld(X2,unit)) ),
% 82.04/82.47 inference(orient,[status(thm)],['0.4768.1.0',theory(equality)]),
% 82.04/82.47 [u,rule_4611]).
% 82.04/82.47 cnf('0.4776.0.0',plain,
% 82.04/82.47 ( mult(X1,ld(ld(X1,ld(ld(X1,unit),X2)),unit)) = ld(ld(X1,mult(unit,ld(X1,ld(unit,mult(X1,X2))))),unit) ),
% 82.04/82.47 inference(cp,[status(thm)],['0.4768.2.0','0.2386.2.0',theory(equality)]),
% 82.04/82.47 [pos('L.1','L')]).
% 82.04/82.47 cnf('0.4776.0.1',plain,
% 82.04/82.47 ( mult(X1,ld(X1,ld(ld(X1,unit),ld(X2,unit)))) = ld(ld(X1,mult(unit,ld(X1,ld(unit,mult(X1,X2))))),unit) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4776.0.0','0.2724.2.0',theory(equality)]),
% 82.04/82.47 [pos('L.2','L')]).
% 82.04/82.47 cnf('0.4776.0.2',plain,
% 82.04/82.47 ( ld(ld(X1,unit),ld(X2,unit)) = ld(ld(X1,mult(unit,ld(X1,ld(unit,mult(X1,X2))))),unit) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4776.0.1','0.1.2.0',theory(equality)]),
% 82.04/82.47 [pos('L','L')]).
% 82.04/82.47 cnf('0.4776.0.3',plain,
% 82.04/82.47 ( ld(ld(X1,unit),ld(X2,unit)) = ld(ld(X1,ld(X1,ld(unit,mult(X1,X2)))),unit) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4776.0.2','0.3.2.0',theory(equality)]),
% 82.04/82.47 [pos('R.1.2','L')]).
% 82.04/82.47 cnf('0.4776.0.4',plain,
% 82.04/82.47 ( ld(ld(X1,unit),ld(X2,unit)) = ld(ld(X1,ld(X1,mult(X1,X2))),unit) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4776.0.3','0.10.2.0',theory(equality)]),
% 82.04/82.47 [pos('R.1.2.2','L')]).
% 82.04/82.47 cnf('0.4776.0.5',plain,
% 82.04/82.47 ( ld(ld(X1,unit),ld(X2,unit)) = ld(ld(X1,X2),unit) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4776.0.4','0.4.2.0',theory(equality)]),
% 82.04/82.47 [pos('R.1.2','L')]).
% 82.04/82.47 cnf('0.4776.1.0',plain,
% 82.04/82.47 ( ld(ld(X1,unit),ld(X2,unit)) = ld(ld(X1,X2),unit) ),
% 82.04/82.47 inference(weigh,[status(thm)],['0.4776.0.5']),
% 82.04/82.47 [weight('<103,4768,2386,[1,0,0,1]>')]).
% 82.04/82.47 cnf('0.4776.2.0',plain,
% 82.04/82.47 ( ld(ld(X1,unit),ld(X2,unit)) = ld(ld(X1,X2),unit) ),
% 82.04/82.47 inference(orient,[status(thm)],['0.4776.1.0',theory(equality)]),
% 82.04/82.47 [u,rule_4619]).
% 82.04/82.47 cnf('0.4788.0.0',plain,
% 82.04/82.47 ( mult(ld(X1,mult(X2,X2)),ld(ld(X1,unit),ld(X2,unit))) = X2 ),
% 82.04/82.47 inference(interreduction_right,[status(thm)],['0.2434.2.0'])).
% 82.04/82.47 cnf('0.4788.0.1',plain,
% 82.04/82.47 ( mult(ld(X1,mult(X2,X2)),ld(ld(X1,X2),unit)) = X2 ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4788.0.0','0.4776.2.0',theory(equality)]),
% 82.04/82.47 [pos('L.2','L')]).
% 82.04/82.47 cnf('0.4788.1.0',plain,
% 82.04/82.47 ( mult(ld(X1,mult(X2,X2)),ld(ld(X1,X2),unit)) = X2 ),
% 82.04/82.47 inference(weigh,[status(thm)],['0.4788.0.1']),
% 82.04/82.47 [weight('<155,2434,4776,[0,0,0,0]>')]).
% 82.04/82.47 cnf('0.4788.2.0',plain,
% 82.04/82.47 ( mult(ld(X1,mult(X2,X2)),ld(ld(X1,X2),unit)) = X2 ),
% 82.04/82.47 inference(orient,[status(thm)],['0.4788.1.0',theory(equality)]),
% 82.04/82.47 [u,rule_4631]).
% 82.04/82.47 cnf('0.4789.0.0',plain,
% 82.04/82.47 ( false = eq(ld(mult(X1,ld(ld(ld(ld(X1,X2),unit),unit),X2)),mult(X2,X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.47 inference(cp,[status(thm)],['0.3789.2.0','0.4788.2.0',theory(equality)]),
% 82.04/82.47 [pos('L.1.1.2.2','L')]).
% 82.04/82.47 cnf('0.4789.0.1',plain,
% 82.04/82.47 ( false = eq(ld(mult(X1,ld(ld(X1,X2),X2)),mult(X2,X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4789.0.0','0.16.2.0',theory(equality)]),
% 82.04/82.47 [pos('R.1.1.2.1','L')]).
% 82.04/82.47 cnf('0.4789.0.2',plain,
% 82.04/82.47 ( false = eq(ld(mult(X1,X1),mult(X2,X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4789.0.1','0.16.2.0',theory(equality)]),
% 82.04/82.47 [pos('R.1.1.2','L')]).
% 82.04/82.47 cnf('0.4789.1.0',plain,
% 82.04/82.47 ( false = eq(ld(mult(X1,X1),mult(X2,X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.47 inference(weigh,[status(thm)],['0.4789.0.2']),
% 82.04/82.47 [weight('<42,4788,3789,[0,0,0,8]>')]).
% 82.04/82.47 cnf('0.4789.2.0',plain,
% 82.04/82.47 ( eq(ld(mult(X1,X1),mult(X2,X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) = false ),
% 82.04/82.47 inference(orient,[status(thm)],['0.4789.1.0',theory(equality)]),
% 82.04/82.47 [x,rule_4632]).
% 82.04/82.47 cnf('0.4791.0.0',plain,
% 82.04/82.47 ( false = eq(mult(ld(mult(X1,X1),unit),mult(ld(ld(mult(X1,X1),unit),mult(ld(mult(X1,X1),unit),X2)),X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.47 inference(cp,[status(thm)],['0.4789.2.0','0.1444.2.0',theory(equality)]),
% 82.04/82.47 [pos('L.1','L')]).
% 82.04/82.47 cnf('0.4791.0.1',plain,
% 82.04/82.47 ( false = eq(mult(ld(X1,ld(X1,unit)),mult(ld(ld(mult(X1,X1),unit),mult(ld(mult(X1,X1),unit),X2)),X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4791.0.0','0.42.2.0',theory(equality)]),
% 82.04/82.47 [pos('R.1.1','L')]).
% 82.04/82.47 cnf('0.4791.0.2',plain,
% 82.04/82.47 ( false = eq(mult(ld(X1,ld(X1,unit)),mult(X2,X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4791.0.1','0.1800.2.0',theory(equality)]),
% 82.04/82.47 [pos('R.1.2.1','L')]).
% 82.04/82.47 cnf('0.4791.1.0',plain,
% 82.04/82.47 ( false = eq(mult(ld(X1,ld(X1,unit)),mult(X2,X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.47 inference(weigh,[status(thm)],['0.4791.0.2']),
% 82.04/82.47 [weight('<48,4789,1444,[1,0,0,1]>')]).
% 82.04/82.47 cnf('0.4791.2.0',plain,
% 82.04/82.47 ( eq(mult(ld(X1,ld(X1,unit)),mult(X2,X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) = false ),
% 82.04/82.47 inference(orient,[status(thm)],['0.4791.1.0',theory(equality)]),
% 82.04/82.47 [x,rule_4634]).
% 82.04/82.47 cnf('0.4793.0.0',plain,
% 82.04/82.47 ( false = eq(mult(ld(ld(X1,unit),X1),mult(X2,X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.47 inference(cp,[status(thm)],['0.4791.2.0','0.16.2.0',theory(equality)]),
% 82.04/82.47 [pos('L.1.1.2','L')]).
% 82.04/82.47 cnf('0.4793.0.1',plain,
% 82.04/82.47 ( false = eq(mult(mult(X1,X1),mult(X2,X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.47 inference(reduction,[status(thm)],['0.4793.0.0','0.30.2.0',theory(equality)]),
% 82.04/82.47 [pos('R.1.1','L')]).
% 82.04/82.47 cnf('0.4793.1.0',plain,
% 82.04/82.47 ( false = eq(mult(mult(X1,X1),mult(X2,X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) ),
% 82.04/82.47 inference(weigh,[status(thm)],['0.4793.0.1']),
% 82.04/82.47 [weight('<0,4791,16,[1,0,0,4]>')]).
% 82.04/82.47 cnf('0.4793.2.0',plain,
% 82.04/82.47 ( eq(mult(mult(X1,X1),mult(X2,X2)),mult(mult(op_b,op_b),mult(op_a,op_a))) = false ),
% 82.04/82.47 inference(orient,[status(thm)],['0.4793.1.0',theory(equality)]),
% 82.04/82.47 [x,rule_4636]).
% 82.04/82.47 cnf('0.4794.0.0',plain,
% 82.04/82.47 ( false = true ),
% 82.04/82.47 inference(cp,[status(thm)],['0.4793.2.0','0.8.2.0',theory(equality)]),
% 82.04/82.47 [pos('L','L')]).
% 82.04/82.47 cnf('0.4794.1.0',plain,
% 82.04/82.47 ( false = true ),
% 82.04/82.47 inference(weigh,[status(thm)],['0.4794.0.0']),
% 82.04/82.47 [weight('<5,4793,8,[1,0,0,0]>')]).
% 82.04/82.47 cnf('0.4794.2.0',plain,
% 82.04/82.47 ( true = false ),
% 82.04/82.47 inference(orient,[status(thm)],['0.4794.1.0',theory(equality)]),
% 82.04/82.47 [x,rule_4637]).
% 82.04/82.47 cnf('1.0.0.0',conjecture,
% 82.04/82.47 ( true = false ),
% 82.04/82.47 file('/tmp/WALDMEISTER_7272_n014',conjecture_1)).
% 82.04/82.47 cnf('1.0.0.1',plain,
% 82.04/82.47 ( false = false ),
% 82.04/82.47 inference(reduction,[status(thm)],['1.0.0.0','0.4794.2.0',theory(equality)]),
% 82.04/82.47 [pos('L','L')]).
% 82.04/82.47 cnf('1.0.0.2',plain,
% 82.04/82.47 ( $true ),
% 82.04/82.47 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 82.04/82.47 [conjecture_1]).
% 82.04/82.47
% 82.04/82.47 Proved Goals:
% 82.04/82.47 No. 1: true ?= false, current false ?= false
% 82.04/82.47 using narrowing to prove mult(x1,x1) ?= mult(mult(op_a,op_a),mult(op_b,op_b))
% 82.04/82.47
% 82.04/82.47 1 goal was specified, which was proved.
% 82.04/82.47 % SZS output end CNFRefutation
% 82.04/82.47 #END OF PROOF
% 82.04/82.47
% 82.04/82.47 Problem WALDMEISTER_7272_n014
% 82.04/82.47 CPs.gen 8510560
% 82.04/82.47 CPs.reexp 0
% 82.04/82.47 Select 191050
% 82.04/82.47 R 4637
% 82.04/82.47 E 157
% 82.04/82.47 vsize 14.5M
% 82.04/82.47 rss 9.9M
% 82.04/82.47 process.time 81.501s
% 82.04/82.47 wallclock.time 81.515s
% 82.04/82.47 status S
% 82.04/82.47
% 82.04/82.47
% 82.04/82.47 Waldmeister states: Goal proved.
% 82.04/82.47 % SZS status Unsatisfiable
%------------------------------------------------------------------------------