Twee---2.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : GRP655-14 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 10:11:35 AM UTC 2026

% Result   : Unsatisfiable 11.18s 2.02s
% Output   : CNFRefutation 16.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  118
%            Number of leaves      :    6
% Syntax   : Number of clauses     :  921 ( 921 unt;   0 nHn;   3 RR)
%            Number of literals    :  921 ( 920 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   : 2236 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
    mult(ld(x1,x1),x0) != x0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(c2,axiom,
    rd(mult(A,B),B) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).

cnf(c3,plain,
    rd(mult(ld(X,X),ld(X2,X2)),ld(X2,X2)) = ld(X,X),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c4,plain,
    ld(X,X) = rd(mult(ld(X,X),ld(X2,X2)),ld(X2,X2)),
    inference(symmetry,[status(thm)],[c3]) ).

cnf(c5,plain,
    rd(mult(ld(X2,rd(X2,X)),X),X) = ld(X2,rd(X2,X)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c6,plain,
    ld(X,rd(X,X2)) = rd(mult(ld(X,rd(X,X2)),X2),X2),
    inference(symmetry,[status(thm)],[c5]) ).

cnf(c7,axiom,
    ld(A2,mult(A2,B2)) = B2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).

cnf(c8,plain,
    ld(X,mult(X,mult(ld(X2,rd(X2,X)),X))) = mult(ld(X2,rd(X2,X)),X),
    inference(substitution,[status(thm)],[c7]) ).

cnf(c9,plain,
    mult(ld(X2,rd(X2,X)),X) = ld(X,mult(X,mult(ld(X2,rd(X2,X)),X))),
    inference(symmetry,[status(thm)],[c8]) ).

cnf(c10,axiom,
    mult(A2,ld(A2,B2)) = B2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).

cnf(c11,plain,
    mult(X2,ld(X2,X)) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c12,plain,
    X = mult(X2,ld(X2,X)),
    inference(symmetry,[status(thm)],[c11]) ).

cnf(c13,plain,
    mult(X,X2) = mult(mult(X3,ld(X3,X)),X2),
    inference(congruence,[status(thm)],[c12]) ).

cnf(c14,plain,
    ld(rd(X3,X2),mult(X,X2)) = ld(rd(X3,X2),mult(mult(X3,ld(X3,X)),X2)),
    inference(congruence,[status(thm)],[c13]) ).

cnf(c15,axiom,
    mult(A2,mult(B2,mult(C,B2))) = mult(mult(mult(A2,B2),C),B2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).

cnf(c16,plain,
    mult(rd(X3,X2),mult(X2,mult(X,X2))) = mult(mult(mult(rd(X3,X2),X2),X),X2),
    inference(substitution,[status(thm)],[c15]) ).

cnf(c17,axiom,
    mult(rd(A2,B2),B2) = A2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).

cnf(c18,plain,
    mult(rd(X2,X),X) = X2,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c19,plain,
    mult(mult(rd(X3,X2),X2),X) = mult(X3,X),
    inference(congruence,[status(thm)],[c18]) ).

cnf(c20,plain,
    mult(mult(mult(rd(X3,X2),X2),X),X2) = mult(mult(X3,X),X2),
    inference(congruence,[status(thm)],[c19]) ).

cnf(c21,plain,
    mult(rd(X3,X2),mult(X2,mult(X,X2))) = mult(mult(X3,X),X2),
    inference(transitivity,[status(thm)],[c16,c20]) ).

cnf(c22,plain,
    mult(mult(X3,X),X2) = mult(rd(X3,X2),mult(X2,mult(X,X2))),
    inference(symmetry,[status(thm)],[c21]) ).

cnf(c23,plain,
    ld(rd(X3,X2),mult(mult(X3,X),X2)) = ld(rd(X3,X2),mult(rd(X3,X2),mult(X2,mult(X,X2)))),
    inference(congruence,[status(thm)],[c22]) ).

cnf(c24,plain,
    ld(rd(X3,X2),mult(rd(X3,X2),mult(X2,mult(X,X2)))) = mult(X2,mult(X,X2)),
    inference(substitution,[status(thm)],[c7]) ).

cnf(c25,plain,
    ld(rd(X3,X2),mult(mult(X3,X),X2)) = mult(X2,mult(X,X2)),
    inference(transitivity,[status(thm)],[c23,c24]) ).

cnf(c26,plain,
    ld(rd(X3,X2),mult(mult(X3,ld(X3,X)),X2)) = mult(X2,mult(ld(X3,X),X2)),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c27,plain,
    ld(rd(X3,X2),mult(X,X2)) = mult(X2,mult(ld(X3,X),X2)),
    inference(transitivity,[status(thm)],[c14,c26]) ).

cnf(c28,plain,
    ld(rd(X,X2),mult(rd(X,X2),X2)) = mult(X2,mult(ld(X,rd(X,X2)),X2)),
    inference(substitution,[status(thm)],[c27]) ).

cnf(c29,plain,
    mult(X2,mult(ld(X,rd(X,X2)),X2)) = ld(rd(X,X2),mult(rd(X,X2),X2)),
    inference(symmetry,[status(thm)],[c28]) ).

cnf(c30,plain,
    ld(rd(X,X2),mult(rd(X,X2),X2)) = X2,
    inference(substitution,[status(thm)],[c7]) ).

cnf(c31,plain,
    mult(X2,mult(ld(X,rd(X,X2)),X2)) = X2,
    inference(transitivity,[status(thm)],[c29,c30]) ).

cnf(c32,plain,
    mult(X,mult(ld(X2,rd(X2,X)),X)) = X,
    inference(substitution,[status(thm)],[c31]) ).

cnf(c33,plain,
    ld(X,mult(X,mult(ld(X2,rd(X2,X)),X))) = ld(X,X),
    inference(congruence,[status(thm)],[c32]) ).

cnf(c34,plain,
    mult(ld(X2,rd(X2,X)),X) = ld(X,X),
    inference(transitivity,[status(thm)],[c9,c33]) ).

cnf(c35,plain,
    mult(ld(X,rd(X,X2)),X2) = ld(X2,X2),
    inference(substitution,[status(thm)],[c34]) ).

cnf(c36,plain,
    rd(mult(ld(X,rd(X,X2)),X2),X2) = rd(ld(X2,X2),X2),
    inference(congruence,[status(thm)],[c35]) ).

cnf(c37,plain,
    ld(X,X) = mult(ld(X2,rd(X2,X)),X),
    inference(symmetry,[status(thm)],[c34]) ).

cnf(c38,plain,
    rd(ld(X,X),X) = rd(mult(ld(X2,rd(X2,X)),X),X),
    inference(congruence,[status(thm)],[c37]) ).

cnf(c39,plain,
    rd(mult(ld(X2,rd(X2,X)),X),X) = ld(X2,rd(X2,X)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c40,plain,
    rd(ld(X,X),X) = ld(X2,rd(X2,X)),
    inference(transitivity,[status(thm)],[c38,c39]) ).

cnf(c41,plain,
    rd(mult(ld(X,rd(X,X2)),X2),X2) = ld(X3,rd(X3,X2)),
    inference(transitivity,[status(thm)],[c36,c40]) ).

cnf(c42,plain,
    ld(X,rd(X,X2)) = ld(X3,rd(X3,X2)),
    inference(transitivity,[status(thm)],[c6,c41]) ).

cnf(c43,plain,
    ld(X3,rd(X3,ld(X2,X))) = ld(X,rd(X,ld(X2,X))),
    inference(substitution,[status(thm)],[c42]) ).

cnf(c44,plain,
    mult(X,ld(X,X2)) = X2,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c45,plain,
    X2 = mult(X,ld(X,X2)),
    inference(symmetry,[status(thm)],[c44]) ).

cnf(c46,plain,
    rd(X2,ld(X,X2)) = rd(mult(X,ld(X,X2)),ld(X,X2)),
    inference(congruence,[status(thm)],[c45]) ).

cnf(c47,plain,
    rd(mult(X,ld(X,X2)),ld(X,X2)) = X,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c48,plain,
    rd(X2,ld(X,X2)) = X,
    inference(transitivity,[status(thm)],[c46,c47]) ).

cnf(c49,plain,
    rd(X,ld(X2,X)) = X2,
    inference(substitution,[status(thm)],[c48]) ).

cnf(c50,plain,
    ld(X,rd(X,ld(X2,X))) = ld(X,X2),
    inference(congruence,[status(thm)],[c49]) ).

cnf(c51,plain,
    ld(X3,rd(X3,ld(X2,X))) = ld(X,X2),
    inference(transitivity,[status(thm)],[c43,c50]) ).

cnf(c52,plain,
    ld(X,rd(X,ld(ld(X2,X2),ld(X3,X3)))) = ld(ld(X3,X3),ld(X2,X2)),
    inference(substitution,[status(thm)],[c51]) ).

cnf(c53,plain,
    ld(ld(X3,X3),ld(X2,X2)) = ld(X,rd(X,ld(ld(X2,X2),ld(X3,X3)))),
    inference(symmetry,[status(thm)],[c52]) ).

cnf(c54,plain,
    rd(mult(X2,X),X) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c55,plain,
    X2 = rd(mult(X2,X),X),
    inference(symmetry,[status(thm)],[c54]) ).

cnf(c56,plain,
    ld(mult(X2,X),X2) = ld(mult(X2,X),rd(mult(X2,X),X)),
    inference(congruence,[status(thm)],[c55]) ).

cnf(c57,plain,
    ld(X,rd(X,X2)) = ld(mult(X3,X2),rd(mult(X3,X2),X2)),
    inference(substitution,[status(thm)],[c42]) ).

cnf(c58,plain,
    ld(mult(X3,X2),rd(mult(X3,X2),X2)) = ld(X,rd(X,X2)),
    inference(symmetry,[status(thm)],[c57]) ).

cnf(c59,plain,
    ld(mult(X3,X2),X3) = ld(X,rd(X,X2)),
    inference(transitivity,[status(thm)],[c56,c58]) ).

cnf(c60,plain,
    ld(mult(X4,ld(ld(X2,X2),ld(X3,X3))),X4) = ld(X,rd(X,ld(ld(X2,X2),ld(X3,X3)))),
    inference(substitution,[status(thm)],[c59]) ).

cnf(c61,plain,
    ld(X2,rd(X2,ld(ld(X3,X3),ld(X4,X4)))) = ld(mult(X,ld(ld(X3,X3),ld(X4,X4))),X),
    inference(symmetry,[status(thm)],[c60]) ).

cnf(c62,plain,
    ld(X2,rd(X2,X)) = ld(X3,rd(X3,X)),
    inference(substitution,[status(thm)],[c42]) ).

cnf(c63,plain,
    mult(X3,ld(X2,rd(X2,X))) = mult(X3,ld(X3,rd(X3,X))),
    inference(congruence,[status(thm)],[c62]) ).

cnf(c64,plain,
    mult(X2,ld(X2,rd(X2,X))) = rd(X2,X),
    inference(substitution,[status(thm)],[c10]) ).

cnf(c65,plain,
    mult(X3,ld(X2,rd(X2,X))) = rd(X3,X),
    inference(transitivity,[status(thm)],[c63,c64]) ).

cnf(c66,plain,
    mult(X4,ld(X,rd(X,ld(X3,X2)))) = rd(X4,ld(X3,X2)),
    inference(substitution,[status(thm)],[c65]) ).

cnf(c67,plain,
    rd(X4,ld(X3,X2)) = mult(X4,ld(X,rd(X,ld(X3,X2)))),
    inference(symmetry,[status(thm)],[c66]) ).

cnf(c68,plain,
    ld(X,rd(X,ld(X3,X2))) = ld(X2,X3),
    inference(substitution,[status(thm)],[c51]) ).

cnf(c69,plain,
    mult(X4,ld(X,rd(X,ld(X3,X2)))) = mult(X4,ld(X2,X3)),
    inference(congruence,[status(thm)],[c68]) ).

cnf(c70,plain,
    rd(X3,ld(X2,X)) = mult(X3,ld(X,X2)),
    inference(transitivity,[status(thm)],[c67,c69]) ).

cnf(c71,plain,
    rd(ld(X2,X2),ld(X,X)) = mult(ld(X2,X2),ld(X,X)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c72,plain,
    mult(ld(X2,X2),ld(X,X)) = rd(ld(X2,X2),ld(X,X)),
    inference(symmetry,[status(thm)],[c71]) ).

cnf(c73,plain,
    rd(X3,mult(ld(X2,X2),ld(X,X))) = rd(X3,rd(ld(X2,X2),ld(X,X))),
    inference(congruence,[status(thm)],[c72]) ).

cnf(c74,plain,
    ld(rd(X,X),mult(X,X)) = mult(X,mult(ld(X,X),X)),
    inference(substitution,[status(thm)],[c27]) ).

cnf(c75,plain,
    mult(X,mult(ld(X,X),X)) = ld(rd(X,X),mult(X,X)),
    inference(symmetry,[status(thm)],[c74]) ).

cnf(c76,plain,
    mult(rd(X2,X),X) = X2,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c77,plain,
    X2 = mult(rd(X2,X),X),
    inference(symmetry,[status(thm)],[c76]) ).

cnf(c78,plain,
    ld(rd(X2,X),X2) = ld(rd(X2,X),mult(rd(X2,X),X)),
    inference(congruence,[status(thm)],[c77]) ).

cnf(c79,plain,
    ld(rd(X2,X),mult(rd(X2,X),X)) = X,
    inference(substitution,[status(thm)],[c7]) ).

cnf(c80,plain,
    ld(rd(X2,X),X2) = X,
    inference(transitivity,[status(thm)],[c78,c79]) ).

cnf(c81,plain,
    ld(rd(X,X2),X) = X2,
    inference(substitution,[status(thm)],[c80]) ).

cnf(c82,plain,
    X2 = ld(rd(X,X2),X),
    inference(symmetry,[status(thm)],[c81]) ).

cnf(c83,plain,
    mult(X2,X2) = mult(X2,ld(rd(X,X2),X)),
    inference(congruence,[status(thm)],[c82]) ).

cnf(c84,plain,
    ld(rd(X2,X2),mult(X2,X2)) = ld(rd(X2,X2),mult(X2,ld(rd(X,X2),X))),
    inference(congruence,[status(thm)],[c83]) ).

cnf(c85,plain,
    rd(X2,ld(X,rd(X,X2))) = mult(X2,ld(rd(X,X2),X)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c86,plain,
    mult(X2,ld(rd(X,X2),X)) = rd(X2,ld(X,rd(X,X2))),
    inference(symmetry,[status(thm)],[c85]) ).

cnf(c87,plain,
    ld(rd(X2,X2),mult(X2,ld(rd(X,X2),X))) = ld(rd(X2,X2),rd(X2,ld(X,rd(X,X2)))),
    inference(congruence,[status(thm)],[c86]) ).

cnf(c88,plain,
    mult(X2,ld(X,rd(X,X2))) = rd(X2,X2),
    inference(substitution,[status(thm)],[c65]) ).

cnf(c89,plain,
    rd(X2,X2) = mult(X2,ld(X,rd(X,X2))),
    inference(symmetry,[status(thm)],[c88]) ).

cnf(c90,plain,
    ld(rd(X2,X2),rd(X2,ld(X,rd(X,X2)))) = ld(mult(X2,ld(X,rd(X,X2))),rd(X2,ld(X,rd(X,X2)))),
    inference(congruence,[status(thm)],[c89]) ).

cnf(c91,plain,
    mult(rd(X,X2),X2) = X,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c92,plain,
    X = mult(rd(X,X2),X2),
    inference(symmetry,[status(thm)],[c91]) ).

cnf(c93,plain,
    mult(X2,X) = mult(X2,mult(rd(X,X2),X2)),
    inference(congruence,[status(thm)],[c92]) ).

cnf(c94,plain,
    mult(X3,mult(X2,X)) = mult(X3,mult(X2,mult(rd(X,X2),X2))),
    inference(congruence,[status(thm)],[c93]) ).

cnf(c95,plain,
    rd(mult(X3,mult(X2,X)),X2) = rd(mult(X3,mult(X2,mult(rd(X,X2),X2))),X2),
    inference(congruence,[status(thm)],[c94]) ).

cnf(c96,plain,
    mult(X3,mult(X2,mult(X,X2))) = mult(mult(mult(X3,X2),X),X2),
    inference(substitution,[status(thm)],[c15]) ).

cnf(c97,plain,
    rd(mult(X3,mult(X2,mult(X,X2))),X2) = rd(mult(mult(mult(X3,X2),X),X2),X2),
    inference(congruence,[status(thm)],[c96]) ).

cnf(c98,plain,
    rd(mult(mult(mult(X3,X2),X),X2),X2) = mult(mult(X3,X2),X),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c99,plain,
    rd(mult(X3,mult(X2,mult(X,X2))),X2) = mult(mult(X3,X2),X),
    inference(transitivity,[status(thm)],[c97,c98]) ).

cnf(c100,plain,
    rd(mult(X3,mult(X2,mult(rd(X,X2),X2))),X2) = mult(mult(X3,X2),rd(X,X2)),
    inference(substitution,[status(thm)],[c99]) ).

cnf(c101,plain,
    rd(mult(X3,mult(X2,X)),X2) = mult(mult(X3,X2),rd(X,X2)),
    inference(transitivity,[status(thm)],[c95,c100]) ).

cnf(c102,plain,
    rd(mult(X3,mult(X2,ld(X2,X))),X2) = mult(mult(X3,X2),rd(ld(X2,X),X2)),
    inference(substitution,[status(thm)],[c101]) ).

cnf(c103,plain,
    mult(mult(X3,X2),rd(ld(X2,X),X2)) = rd(mult(X3,mult(X2,ld(X2,X))),X2),
    inference(symmetry,[status(thm)],[c102]) ).

cnf(c104,plain,
    mult(X2,ld(X2,X)) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c105,plain,
    mult(X3,mult(X2,ld(X2,X))) = mult(X3,X),
    inference(congruence,[status(thm)],[c104]) ).

cnf(c106,plain,
    rd(mult(X3,mult(X2,ld(X2,X))),X2) = rd(mult(X3,X),X2),
    inference(congruence,[status(thm)],[c105]) ).

cnf(c107,plain,
    mult(mult(X3,X2),rd(ld(X2,X),X2)) = rd(mult(X3,X),X2),
    inference(transitivity,[status(thm)],[c103,c106]) ).

cnf(c108,plain,
    rd(mult(X3,X),X2) = mult(mult(X3,X2),rd(ld(X2,X),X2)),
    inference(symmetry,[status(thm)],[c107]) ).

cnf(c109,plain,
    ld(mult(X3,X2),rd(mult(X3,X),X2)) = ld(mult(X3,X2),mult(mult(X3,X2),rd(ld(X2,X),X2))),
    inference(congruence,[status(thm)],[c108]) ).

cnf(c110,plain,
    ld(mult(X3,X2),mult(mult(X3,X2),rd(ld(X2,X),X2))) = rd(ld(X2,X),X2),
    inference(substitution,[status(thm)],[c7]) ).

cnf(c111,plain,
    ld(mult(X3,X2),rd(mult(X3,X),X2)) = rd(ld(X2,X),X2),
    inference(transitivity,[status(thm)],[c109,c110]) ).

cnf(c112,plain,
    ld(mult(X2,X3),rd(mult(X2,ld(X2,X)),X3)) = rd(ld(X3,ld(X2,X)),X3),
    inference(substitution,[status(thm)],[c111]) ).

cnf(c113,plain,
    rd(ld(X3,ld(X2,X)),X3) = ld(mult(X2,X3),rd(mult(X2,ld(X2,X)),X3)),
    inference(symmetry,[status(thm)],[c112]) ).

cnf(c114,plain,
    mult(X2,ld(X2,X)) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c115,plain,
    rd(mult(X2,ld(X2,X)),X3) = rd(X,X3),
    inference(congruence,[status(thm)],[c114]) ).

cnf(c116,plain,
    ld(mult(X2,X3),rd(mult(X2,ld(X2,X)),X3)) = ld(mult(X2,X3),rd(X,X3)),
    inference(congruence,[status(thm)],[c115]) ).

cnf(c117,plain,
    rd(ld(X3,ld(X2,X)),X3) = ld(mult(X2,X3),rd(X,X3)),
    inference(transitivity,[status(thm)],[c113,c116]) ).

cnf(c118,plain,
    rd(ld(ld(X,rd(X,X2)),ld(X2,X2)),ld(X,rd(X,X2))) = ld(mult(X2,ld(X,rd(X,X2))),rd(X2,ld(X,rd(X,X2)))),
    inference(substitution,[status(thm)],[c117]) ).

cnf(c119,plain,
    ld(mult(X2,ld(X,rd(X,X2))),rd(X2,ld(X,rd(X,X2)))) = rd(ld(ld(X,rd(X,X2)),ld(X2,X2)),ld(X,rd(X,X2))),
    inference(symmetry,[status(thm)],[c118]) ).

cnf(c120,plain,
    ld(X,X) = mult(ld(X2,rd(X2,X)),X),
    inference(symmetry,[status(thm)],[c34]) ).

cnf(c121,plain,
    ld(ld(X2,rd(X2,X)),ld(X,X)) = ld(ld(X2,rd(X2,X)),mult(ld(X2,rd(X2,X)),X)),
    inference(congruence,[status(thm)],[c120]) ).

cnf(c122,plain,
    ld(ld(X2,rd(X2,X)),mult(ld(X2,rd(X2,X)),X)) = X,
    inference(substitution,[status(thm)],[c7]) ).

cnf(c123,plain,
    ld(ld(X2,rd(X2,X)),ld(X,X)) = X,
    inference(transitivity,[status(thm)],[c121,c122]) ).

cnf(c124,plain,
    ld(ld(X,rd(X,X2)),ld(X2,X2)) = X2,
    inference(substitution,[status(thm)],[c123]) ).

cnf(c125,plain,
    rd(ld(ld(X,rd(X,X2)),ld(X2,X2)),ld(X,rd(X,X2))) = rd(X2,ld(X,rd(X,X2))),
    inference(congruence,[status(thm)],[c124]) ).

cnf(c126,plain,
    rd(X2,ld(X,rd(X,X2))) = mult(X2,ld(rd(X,X2),X)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c127,plain,
    ld(rd(X,X2),X) = X2,
    inference(substitution,[status(thm)],[c80]) ).

cnf(c128,plain,
    mult(X2,ld(rd(X,X2),X)) = mult(X2,X2),
    inference(congruence,[status(thm)],[c127]) ).

cnf(c129,plain,
    rd(X2,ld(X,rd(X,X2))) = mult(X2,X2),
    inference(transitivity,[status(thm)],[c126,c128]) ).

cnf(c130,plain,
    rd(ld(ld(X,rd(X,X2)),ld(X2,X2)),ld(X,rd(X,X2))) = mult(X2,X2),
    inference(transitivity,[status(thm)],[c125,c129]) ).

cnf(c131,plain,
    ld(mult(X2,ld(X,rd(X,X2))),rd(X2,ld(X,rd(X,X2)))) = mult(X2,X2),
    inference(transitivity,[status(thm)],[c119,c130]) ).

cnf(c132,plain,
    ld(rd(X2,X2),rd(X2,ld(X,rd(X,X2)))) = mult(X2,X2),
    inference(transitivity,[status(thm)],[c90,c131]) ).

cnf(c133,plain,
    ld(rd(X2,X2),mult(X2,ld(rd(X,X2),X))) = mult(X2,X2),
    inference(transitivity,[status(thm)],[c87,c132]) ).

cnf(c134,plain,
    ld(rd(X,X),mult(X,X)) = mult(X,X),
    inference(transitivity,[status(thm)],[c84,c133]) ).

cnf(c135,plain,
    mult(X,mult(ld(X,X),X)) = mult(X,X),
    inference(transitivity,[status(thm)],[c75,c134]) ).

cnf(c136,plain,
    mult(X,X) = mult(X,mult(ld(X,X),X)),
    inference(symmetry,[status(thm)],[c135]) ).

cnf(c137,plain,
    ld(X,mult(X,X)) = ld(X,mult(X,mult(ld(X,X),X))),
    inference(congruence,[status(thm)],[c136]) ).

cnf(c138,plain,
    ld(X,mult(X,mult(ld(X,X),X))) = mult(ld(X,X),X),
    inference(substitution,[status(thm)],[c7]) ).

cnf(c139,plain,
    ld(X,mult(X,X)) = mult(ld(X,X),X),
    inference(transitivity,[status(thm)],[c137,c138]) ).

cnf(c140,plain,
    mult(ld(X,X),X) = ld(X,mult(X,X)),
    inference(symmetry,[status(thm)],[c139]) ).

cnf(c141,plain,
    ld(X,mult(X,X)) = X,
    inference(substitution,[status(thm)],[c7]) ).

cnf(c142,plain,
    mult(ld(X,X),X) = X,
    inference(transitivity,[status(thm)],[c140,c141]) ).

cnf(c143,plain,
    X = mult(ld(X,X),X),
    inference(symmetry,[status(thm)],[c142]) ).

cnf(c144,plain,
    rd(X,X) = rd(mult(ld(X,X),X),X),
    inference(congruence,[status(thm)],[c143]) ).

cnf(c145,plain,
    rd(mult(ld(X,X),X),X) = ld(X,X),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c146,plain,
    rd(X,X) = ld(X,X),
    inference(transitivity,[status(thm)],[c144,c145]) ).

cnf(c147,plain,
    ld(X,X) = rd(X,X),
    inference(symmetry,[status(thm)],[c146]) ).

cnf(c148,plain,
    mult(ld(X,X),ld(X,X)) = mult(rd(X,X),ld(X,X)),
    inference(congruence,[status(thm)],[c147]) ).

cnf(c149,plain,
    mult(X2,ld(X,rd(X,X2))) = rd(X2,X2),
    inference(substitution,[status(thm)],[c65]) ).

cnf(c150,plain,
    rd(X2,X2) = mult(X2,ld(X,rd(X,X2))),
    inference(symmetry,[status(thm)],[c149]) ).

cnf(c151,plain,
    mult(rd(X2,X2),ld(X2,X2)) = mult(mult(X2,ld(X,rd(X,X2))),ld(X2,X2)),
    inference(congruence,[status(thm)],[c150]) ).

cnf(c152,plain,
    mult(X3,mult(ld(X3,X2),mult(X,ld(X3,X2)))) = mult(mult(mult(X3,ld(X3,X2)),X),ld(X3,X2)),
    inference(substitution,[status(thm)],[c15]) ).

cnf(c153,plain,
    mult(X2,ld(X2,X)) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c154,plain,
    mult(mult(X3,ld(X3,X2)),X) = mult(X2,X),
    inference(congruence,[status(thm)],[c153]) ).

cnf(c155,plain,
    mult(mult(mult(X3,ld(X3,X2)),X),ld(X3,X2)) = mult(mult(X2,X),ld(X3,X2)),
    inference(congruence,[status(thm)],[c154]) ).

cnf(c156,plain,
    mult(X3,mult(ld(X3,X2),mult(X,ld(X3,X2)))) = mult(mult(X2,X),ld(X3,X2)),
    inference(transitivity,[status(thm)],[c152,c155]) ).

cnf(c157,plain,
    mult(X2,mult(ld(X2,X2),mult(ld(X,rd(X,X2)),ld(X2,X2)))) = mult(mult(X2,ld(X,rd(X,X2))),ld(X2,X2)),
    inference(substitution,[status(thm)],[c156]) ).

cnf(c158,plain,
    mult(mult(X2,ld(X,rd(X,X2))),ld(X2,X2)) = mult(X2,mult(ld(X2,X2),mult(ld(X,rd(X,X2)),ld(X2,X2)))),
    inference(symmetry,[status(thm)],[c157]) ).

cnf(c159,plain,
    ld(X,X) = rd(X,X),
    inference(symmetry,[status(thm)],[c146]) ).

cnf(c160,plain,
    mult(ld(X2,rd(X2,X)),ld(X,X)) = mult(ld(X2,rd(X2,X)),rd(X,X)),
    inference(congruence,[status(thm)],[c159]) ).

cnf(c161,plain,
    mult(X2,ld(X,rd(X,X2))) = rd(X2,X2),
    inference(substitution,[status(thm)],[c65]) ).

cnf(c162,plain,
    rd(X2,X2) = mult(X2,ld(X,rd(X,X2))),
    inference(symmetry,[status(thm)],[c161]) ).

cnf(c163,plain,
    mult(ld(X3,rd(X3,X2)),rd(X2,X2)) = mult(ld(X3,rd(X3,X2)),mult(X2,ld(X,rd(X,X2)))),
    inference(congruence,[status(thm)],[c162]) ).

cnf(c164,plain,
    ld(mult(X3,X),X3) = ld(X2,rd(X2,X)),
    inference(substitution,[status(thm)],[c59]) ).

cnf(c165,plain,
    ld(X3,rd(X3,X2)) = ld(mult(X,X2),X),
    inference(symmetry,[status(thm)],[c164]) ).

cnf(c166,plain,
    mult(ld(X4,rd(X4,X3)),mult(X3,ld(X2,rd(X2,X3)))) = mult(ld(mult(X,X3),X),mult(X3,ld(X2,rd(X2,X3)))),
    inference(congruence,[status(thm)],[c165]) ).

cnf(c167,plain,
    ld(mult(X,X3),X) = ld(X2,rd(X2,X3)),
    inference(substitution,[status(thm)],[c59]) ).

cnf(c168,plain,
    ld(X2,rd(X2,X3)) = ld(mult(X,X3),X),
    inference(symmetry,[status(thm)],[c167]) ).

cnf(c169,plain,
    mult(X3,ld(X2,rd(X2,X3))) = mult(X3,ld(mult(X,X3),X)),
    inference(congruence,[status(thm)],[c168]) ).

cnf(c170,plain,
    mult(ld(mult(X,X3),X),mult(X3,ld(X2,rd(X2,X3)))) = mult(ld(mult(X,X3),X),mult(X3,ld(mult(X,X3),X))),
    inference(congruence,[status(thm)],[c169]) ).

cnf(c171,plain,
    mult(mult(X2,X),ld(X3,X2)) = mult(X3,mult(ld(X3,X2),mult(X,ld(X3,X2)))),
    inference(symmetry,[status(thm)],[c156]) ).

cnf(c172,plain,
    ld(X3,mult(mult(X2,X),ld(X3,X2))) = ld(X3,mult(X3,mult(ld(X3,X2),mult(X,ld(X3,X2))))),
    inference(congruence,[status(thm)],[c171]) ).

cnf(c173,plain,
    ld(X3,mult(X3,mult(ld(X3,X2),mult(X,ld(X3,X2))))) = mult(ld(X3,X2),mult(X,ld(X3,X2))),
    inference(substitution,[status(thm)],[c7]) ).

cnf(c174,plain,
    ld(X3,mult(mult(X2,X),ld(X3,X2))) = mult(ld(X3,X2),mult(X,ld(X3,X2))),
    inference(transitivity,[status(thm)],[c172,c173]) ).

cnf(c175,plain,
    ld(mult(X,X2),mult(mult(X,X2),ld(mult(X,X2),X))) = mult(ld(mult(X,X2),X),mult(X2,ld(mult(X,X2),X))),
    inference(substitution,[status(thm)],[c174]) ).

cnf(c176,plain,
    mult(ld(mult(X,X2),X),mult(X2,ld(mult(X,X2),X))) = ld(mult(X,X2),mult(mult(X,X2),ld(mult(X,X2),X))),
    inference(symmetry,[status(thm)],[c175]) ).

cnf(c177,plain,
    mult(mult(X,X2),ld(mult(X,X2),X)) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c178,plain,
    ld(mult(X,X2),mult(mult(X,X2),ld(mult(X,X2),X))) = ld(mult(X,X2),X),
    inference(congruence,[status(thm)],[c177]) ).

cnf(c179,plain,
    ld(mult(X,X3),X) = ld(X2,rd(X2,X3)),
    inference(substitution,[status(thm)],[c59]) ).

cnf(c180,plain,
    ld(mult(X,X3),mult(mult(X,X3),ld(mult(X,X3),X))) = ld(X2,rd(X2,X3)),
    inference(transitivity,[status(thm)],[c178,c179]) ).

cnf(c181,plain,
    mult(ld(mult(X,X3),X),mult(X3,ld(mult(X,X3),X))) = ld(X2,rd(X2,X3)),
    inference(transitivity,[status(thm)],[c176,c180]) ).

cnf(c182,plain,
    mult(ld(mult(X,X4),X),mult(X4,ld(X2,rd(X2,X4)))) = ld(X3,rd(X3,X4)),
    inference(transitivity,[status(thm)],[c170,c181]) ).

cnf(c183,plain,
    mult(ld(X4,rd(X4,X3)),mult(X3,ld(X,rd(X,X3)))) = ld(X2,rd(X2,X3)),
    inference(transitivity,[status(thm)],[c166,c182]) ).

cnf(c184,plain,
    mult(ld(X3,rd(X3,X2)),rd(X2,X2)) = ld(X,rd(X,X2)),
    inference(transitivity,[status(thm)],[c163,c183]) ).

cnf(c185,plain,
    mult(ld(X3,rd(X3,X2)),ld(X2,X2)) = ld(X,rd(X,X2)),
    inference(transitivity,[status(thm)],[c160,c184]) ).

cnf(c186,plain,
    mult(ld(X2,rd(X2,X3)),ld(X3,X3)) = ld(X,rd(X,X3)),
    inference(substitution,[status(thm)],[c185]) ).

cnf(c187,plain,
    mult(ld(X3,X3),mult(ld(X2,rd(X2,X3)),ld(X3,X3))) = mult(ld(X3,X3),ld(X,rd(X,X3))),
    inference(congruence,[status(thm)],[c186]) ).

cnf(c188,plain,
    mult(X3,mult(ld(X3,X3),mult(ld(X2,rd(X2,X3)),ld(X3,X3)))) = mult(X3,mult(ld(X3,X3),ld(X,rd(X,X3)))),
    inference(congruence,[status(thm)],[c187]) ).

cnf(c189,plain,
    mult(ld(X2,X2),ld(X,rd(X,X2))) = rd(ld(X2,X2),X2),
    inference(substitution,[status(thm)],[c65]) ).

cnf(c190,plain,
    mult(X2,mult(ld(X2,X2),ld(X,rd(X,X2)))) = mult(X2,rd(ld(X2,X2),X2)),
    inference(congruence,[status(thm)],[c189]) ).

cnf(c191,plain,
    mult(ld(X,rd(X,X2)),X2) = ld(X2,X2),
    inference(substitution,[status(thm)],[c34]) ).

cnf(c192,plain,
    ld(X2,X2) = mult(ld(X,rd(X,X2)),X2),
    inference(symmetry,[status(thm)],[c191]) ).

cnf(c193,plain,
    rd(ld(X2,X2),X2) = rd(mult(ld(X,rd(X,X2)),X2),X2),
    inference(congruence,[status(thm)],[c192]) ).

cnf(c194,plain,
    rd(mult(ld(X,rd(X,X2)),X2),X2) = ld(X,rd(X,X2)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c195,plain,
    rd(ld(X2,X2),X2) = ld(X,rd(X,X2)),
    inference(transitivity,[status(thm)],[c193,c194]) ).

cnf(c196,plain,
    mult(X2,rd(ld(X2,X2),X2)) = mult(X2,ld(X,rd(X,X2))),
    inference(congruence,[status(thm)],[c195]) ).

cnf(c197,plain,
    mult(X2,ld(X,rd(X,X2))) = rd(X2,X2),
    inference(substitution,[status(thm)],[c65]) ).

cnf(c198,plain,
    mult(X2,ld(X,rd(X,X2))) = ld(X2,X2),
    inference(transitivity,[status(thm)],[c197,c146]) ).

cnf(c199,plain,
    mult(X,rd(ld(X,X),X)) = ld(X,X),
    inference(transitivity,[status(thm)],[c196,c198]) ).

cnf(c200,plain,
    mult(X2,mult(ld(X2,X2),ld(X,rd(X,X2)))) = ld(X2,X2),
    inference(transitivity,[status(thm)],[c190,c199]) ).

cnf(c201,plain,
    mult(X2,mult(ld(X2,X2),mult(ld(X,rd(X,X2)),ld(X2,X2)))) = ld(X2,X2),
    inference(transitivity,[status(thm)],[c188,c200]) ).

cnf(c202,plain,
    mult(mult(X2,ld(X,rd(X,X2))),ld(X2,X2)) = ld(X2,X2),
    inference(transitivity,[status(thm)],[c158,c201]) ).

cnf(c203,plain,
    mult(rd(X,X),ld(X,X)) = ld(X,X),
    inference(transitivity,[status(thm)],[c151,c202]) ).

cnf(c204,plain,
    mult(ld(X,X),ld(X,X)) = ld(X,X),
    inference(transitivity,[status(thm)],[c148,c203]) ).

cnf(c205,plain,
    ld(X,X) = mult(ld(X,X),ld(X,X)),
    inference(symmetry,[status(thm)],[c204]) ).

cnf(c206,plain,
    rd(ld(X2,X2),ld(X,X)) = rd(ld(X2,X2),mult(ld(X,X),ld(X,X))),
    inference(congruence,[status(thm)],[c205]) ).

cnf(c207,plain,
    rd(X3,rd(ld(X2,X2),ld(X,X))) = rd(X3,rd(ld(X2,X2),mult(ld(X,X),ld(X,X)))),
    inference(congruence,[status(thm)],[c206]) ).

cnf(c208,plain,
    mult(rd(X3,ld(X,X2)),mult(ld(X,X2),mult(ld(X2,X),ld(X,X2)))) = mult(mult(X3,ld(X2,X)),ld(X,X2)),
    inference(substitution,[status(thm)],[c21]) ).

cnf(c209,plain,
    mult(mult(X3,ld(X2,X)),ld(X,X2)) = mult(rd(X3,ld(X,X2)),mult(ld(X,X2),mult(ld(X2,X),ld(X,X2)))),
    inference(symmetry,[status(thm)],[c208]) ).

cnf(c210,plain,
    ld(X2,mult(mult(X,ld(X,X2)),ld(X2,X))) = mult(ld(X2,X),mult(ld(X,X2),ld(X2,X))),
    inference(substitution,[status(thm)],[c174]) ).

cnf(c211,plain,
    mult(ld(X2,X),mult(ld(X,X2),ld(X2,X))) = ld(X2,mult(mult(X,ld(X,X2)),ld(X2,X))),
    inference(symmetry,[status(thm)],[c210]) ).

cnf(c212,plain,
    mult(X,ld(X,X2)) = X2,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c213,plain,
    mult(mult(X,ld(X,X2)),ld(X2,X)) = mult(X2,ld(X2,X)),
    inference(congruence,[status(thm)],[c212]) ).

cnf(c214,plain,
    ld(X2,mult(mult(X,ld(X,X2)),ld(X2,X))) = ld(X2,mult(X2,ld(X2,X))),
    inference(congruence,[status(thm)],[c213]) ).

cnf(c215,plain,
    ld(X2,mult(X2,ld(X2,X))) = ld(X2,X),
    inference(substitution,[status(thm)],[c7]) ).

cnf(c216,plain,
    ld(X2,mult(mult(X,ld(X,X2)),ld(X2,X))) = ld(X2,X),
    inference(transitivity,[status(thm)],[c214,c215]) ).

cnf(c217,plain,
    mult(ld(X2,X),mult(ld(X,X2),ld(X2,X))) = ld(X2,X),
    inference(transitivity,[status(thm)],[c211,c216]) ).

cnf(c218,plain,
    mult(ld(X,X2),mult(ld(X2,X),ld(X,X2))) = ld(X,X2),
    inference(substitution,[status(thm)],[c217]) ).

cnf(c219,plain,
    mult(rd(X3,ld(X,X2)),mult(ld(X,X2),mult(ld(X2,X),ld(X,X2)))) = mult(rd(X3,ld(X,X2)),ld(X,X2)),
    inference(congruence,[status(thm)],[c218]) ).

cnf(c220,plain,
    mult(rd(X3,ld(X,X2)),ld(X,X2)) = X3,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c221,plain,
    mult(rd(X3,ld(X,X2)),mult(ld(X,X2),mult(ld(X2,X),ld(X,X2)))) = X3,
    inference(transitivity,[status(thm)],[c219,c220]) ).

cnf(c222,plain,
    mult(mult(X3,ld(X2,X)),ld(X,X2)) = X3,
    inference(transitivity,[status(thm)],[c209,c221]) ).

cnf(c223,plain,
    mult(mult(rd(ld(X2,X2),X),ld(X2,X2)),ld(X2,X2)) = rd(ld(X2,X2),X),
    inference(substitution,[status(thm)],[c222]) ).

cnf(c224,plain,
    rd(ld(X2,X2),X) = mult(mult(rd(ld(X2,X2),X),ld(X2,X2)),ld(X2,X2)),
    inference(symmetry,[status(thm)],[c223]) ).

cnf(c225,plain,
    mult(ld(X2,X2),rd(ld(X2,X2),X)) = mult(ld(X2,X2),mult(mult(rd(ld(X2,X2),X),ld(X2,X2)),ld(X2,X2))),
    inference(congruence,[status(thm)],[c224]) ).

cnf(c226,plain,
    mult(rd(ld(X2,X2),X),mult(ld(X2,X2),rd(ld(X2,X2),X))) = mult(rd(ld(X2,X2),X),mult(ld(X2,X2),mult(mult(rd(ld(X2,X2),X),ld(X2,X2)),ld(X2,X2)))),
    inference(congruence,[status(thm)],[c225]) ).

cnf(c227,plain,
    mult(rd(ld(X2,X2),X),mult(ld(X2,X2),mult(mult(rd(ld(X2,X2),X),ld(X2,X2)),ld(X2,X2)))) = mult(mult(mult(rd(ld(X2,X2),X),ld(X2,X2)),mult(rd(ld(X2,X2),X),ld(X2,X2))),ld(X2,X2)),
    inference(substitution,[status(thm)],[c15]) ).

cnf(c228,plain,
    mult(ld(X3,X3),ld(X,rd(X,X2))) = rd(ld(X3,X3),X2),
    inference(substitution,[status(thm)],[c65]) ).

cnf(c229,plain,
    rd(ld(X3,X3),X2) = mult(ld(X3,X3),ld(X,rd(X,X2))),
    inference(symmetry,[status(thm)],[c228]) ).

cnf(c230,plain,
    mult(rd(ld(X3,X3),X2),ld(X3,X3)) = mult(mult(ld(X3,X3),ld(X,rd(X,X2))),ld(X3,X3)),
    inference(congruence,[status(thm)],[c229]) ).

cnf(c231,plain,
    mult(mult(rd(ld(X3,X3),X2),ld(X3,X3)),mult(rd(ld(X3,X3),X2),ld(X3,X3))) = mult(mult(rd(ld(X3,X3),X2),ld(X3,X3)),mult(mult(ld(X3,X3),ld(X,rd(X,X2))),ld(X3,X3))),
    inference(congruence,[status(thm)],[c230]) ).

cnf(c232,plain,
    mult(ld(X3,X3),ld(X,rd(X,X2))) = rd(ld(X3,X3),X2),
    inference(substitution,[status(thm)],[c65]) ).

cnf(c233,plain,
    rd(ld(X3,X3),X2) = mult(ld(X3,X3),ld(X,rd(X,X2))),
    inference(symmetry,[status(thm)],[c232]) ).

cnf(c234,plain,
    mult(rd(ld(X3,X3),X2),ld(X3,X3)) = mult(mult(ld(X3,X3),ld(X,rd(X,X2))),ld(X3,X3)),
    inference(congruence,[status(thm)],[c233]) ).

cnf(c235,plain,
    mult(mult(rd(ld(X3,X3),X2),ld(X3,X3)),mult(mult(ld(X3,X3),ld(X,rd(X,X2))),ld(X3,X3))) = mult(mult(mult(ld(X3,X3),ld(X,rd(X,X2))),ld(X3,X3)),mult(mult(ld(X3,X3),ld(X,rd(X,X2))),ld(X3,X3))),
    inference(congruence,[status(thm)],[c234]) ).

cnf(c236,plain,
    ld(X3,mult(X3,mult(X,ld(X3,X2)))) = mult(X,ld(X3,X2)),
    inference(substitution,[status(thm)],[c7]) ).

cnf(c237,plain,
    mult(X,ld(X3,X2)) = ld(X3,mult(X3,mult(X,ld(X3,X2)))),
    inference(symmetry,[status(thm)],[c236]) ).

cnf(c238,plain,
    ld(ld(X3,X2),mult(X,ld(X3,X2))) = ld(ld(X3,X2),ld(X3,mult(X3,mult(X,ld(X3,X2))))),
    inference(congruence,[status(thm)],[c237]) ).

cnf(c239,plain,
    mult(X,mult(ld(X,X3),mult(rd(X2,ld(X,X3)),ld(X,X3)))) = mult(mult(X3,rd(X2,ld(X,X3))),ld(X,X3)),
    inference(substitution,[status(thm)],[c156]) ).

cnf(c240,plain,
    mult(mult(X3,rd(X2,ld(X,X3))),ld(X,X3)) = mult(X,mult(ld(X,X3),mult(rd(X2,ld(X,X3)),ld(X,X3)))),
    inference(symmetry,[status(thm)],[c239]) ).

cnf(c241,plain,
    mult(rd(X2,ld(X,X3)),ld(X,X3)) = X2,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c242,plain,
    mult(ld(X,X3),mult(rd(X2,ld(X,X3)),ld(X,X3))) = mult(ld(X,X3),X2),
    inference(congruence,[status(thm)],[c241]) ).

cnf(c243,plain,
    mult(X,mult(ld(X,X3),mult(rd(X2,ld(X,X3)),ld(X,X3)))) = mult(X,mult(ld(X,X3),X2)),
    inference(congruence,[status(thm)],[c242]) ).

cnf(c244,plain,
    mult(mult(X3,rd(X2,ld(X,X3))),ld(X,X3)) = mult(X,mult(ld(X,X3),X2)),
    inference(transitivity,[status(thm)],[c240,c243]) ).

cnf(c245,plain,
    mult(mult(X2,rd(X,ld(X3,X2))),ld(X3,X2)) = mult(X3,mult(ld(X3,X2),X)),
    inference(substitution,[status(thm)],[c244]) ).

cnf(c246,plain,
    mult(X3,mult(ld(X3,X2),X)) = mult(mult(X2,rd(X,ld(X3,X2))),ld(X3,X2)),
    inference(symmetry,[status(thm)],[c245]) ).

cnf(c247,plain,
    mult(mult(X3,mult(ld(X3,X2),X)),ld(X2,X3)) = mult(mult(mult(X2,rd(X,ld(X3,X2))),ld(X3,X2)),ld(X2,X3)),
    inference(congruence,[status(thm)],[c246]) ).

cnf(c248,plain,
    mult(mult(mult(X2,rd(X,ld(X3,X2))),ld(X3,X2)),ld(X2,X3)) = mult(X2,rd(X,ld(X3,X2))),
    inference(substitution,[status(thm)],[c222]) ).

cnf(c249,plain,
    rd(X,ld(X3,X2)) = mult(X,ld(X2,X3)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c250,plain,
    mult(X2,rd(X,ld(X3,X2))) = mult(X2,mult(X,ld(X2,X3))),
    inference(congruence,[status(thm)],[c249]) ).

cnf(c251,plain,
    mult(mult(mult(X2,rd(X,ld(X3,X2))),ld(X3,X2)),ld(X2,X3)) = mult(X2,mult(X,ld(X2,X3))),
    inference(transitivity,[status(thm)],[c248,c250]) ).

cnf(c252,plain,
    mult(mult(X3,mult(ld(X3,X2),X)),ld(X2,X3)) = mult(X2,mult(X,ld(X2,X3))),
    inference(transitivity,[status(thm)],[c247,c251]) ).

cnf(c253,plain,
    mult(mult(X2,mult(ld(X2,X3),X)),ld(X3,X2)) = mult(X3,mult(X,ld(X3,X2))),
    inference(substitution,[status(thm)],[c252]) ).

cnf(c254,plain,
    mult(X3,mult(X,ld(X3,X2))) = mult(mult(X2,mult(ld(X2,X3),X)),ld(X3,X2)),
    inference(symmetry,[status(thm)],[c253]) ).

cnf(c255,plain,
    ld(X3,mult(X3,mult(X,ld(X3,X2)))) = ld(X3,mult(mult(X2,mult(ld(X2,X3),X)),ld(X3,X2))),
    inference(congruence,[status(thm)],[c254]) ).

cnf(c256,plain,
    ld(ld(X3,X2),ld(X3,mult(X3,mult(X,ld(X3,X2))))) = ld(ld(X3,X2),ld(X3,mult(mult(X2,mult(ld(X2,X3),X)),ld(X3,X2)))),
    inference(congruence,[status(thm)],[c255]) ).

cnf(c257,plain,
    ld(X3,mult(mult(X2,ld(X2,X)),ld(X3,X2))) = mult(ld(X3,X2),mult(ld(X2,X),ld(X3,X2))),
    inference(substitution,[status(thm)],[c174]) ).

cnf(c258,plain,
    mult(ld(X3,X2),mult(ld(X2,X),ld(X3,X2))) = ld(X3,mult(mult(X2,ld(X2,X)),ld(X3,X2))),
    inference(symmetry,[status(thm)],[c257]) ).

cnf(c259,plain,
    mult(X2,ld(X2,X)) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c260,plain,
    mult(mult(X2,ld(X2,X)),ld(X3,X2)) = mult(X,ld(X3,X2)),
    inference(congruence,[status(thm)],[c259]) ).

cnf(c261,plain,
    ld(X3,mult(mult(X2,ld(X2,X)),ld(X3,X2))) = ld(X3,mult(X,ld(X3,X2))),
    inference(congruence,[status(thm)],[c260]) ).

cnf(c262,plain,
    mult(ld(X3,X2),mult(ld(X2,X),ld(X3,X2))) = ld(X3,mult(X,ld(X3,X2))),
    inference(transitivity,[status(thm)],[c258,c261]) ).

cnf(c263,plain,
    ld(X3,mult(X,ld(X3,X2))) = mult(ld(X3,X2),mult(ld(X2,X),ld(X3,X2))),
    inference(symmetry,[status(thm)],[c262]) ).

cnf(c264,plain,
    ld(ld(X3,X2),ld(X3,mult(X,ld(X3,X2)))) = ld(ld(X3,X2),mult(ld(X3,X2),mult(ld(X2,X),ld(X3,X2)))),
    inference(congruence,[status(thm)],[c263]) ).

cnf(c265,plain,
    ld(ld(X3,X2),mult(ld(X3,X2),mult(ld(X2,X),ld(X3,X2)))) = mult(ld(X2,X),ld(X3,X2)),
    inference(substitution,[status(thm)],[c7]) ).

cnf(c266,plain,
    ld(ld(X3,X2),ld(X3,mult(X,ld(X3,X2)))) = mult(ld(X2,X),ld(X3,X2)),
    inference(transitivity,[status(thm)],[c264,c265]) ).

cnf(c267,plain,
    ld(ld(X3,X2),ld(X3,mult(mult(X2,mult(ld(X2,X3),X)),ld(X3,X2)))) = mult(ld(X2,mult(X2,mult(ld(X2,X3),X))),ld(X3,X2)),
    inference(substitution,[status(thm)],[c266]) ).

cnf(c268,plain,
    ld(X2,mult(X2,mult(ld(X2,X3),X))) = mult(ld(X2,X3),X),
    inference(substitution,[status(thm)],[c7]) ).

cnf(c269,plain,
    mult(ld(X2,mult(X2,mult(ld(X2,X3),X))),ld(X3,X2)) = mult(mult(ld(X2,X3),X),ld(X3,X2)),
    inference(congruence,[status(thm)],[c268]) ).

cnf(c270,plain,
    ld(ld(X3,X2),ld(X3,mult(mult(X2,mult(ld(X2,X3),X)),ld(X3,X2)))) = mult(mult(ld(X2,X3),X),ld(X3,X2)),
    inference(transitivity,[status(thm)],[c267,c269]) ).

cnf(c271,plain,
    ld(ld(X3,X2),ld(X3,mult(X3,mult(X,ld(X3,X2))))) = mult(mult(ld(X2,X3),X),ld(X3,X2)),
    inference(transitivity,[status(thm)],[c256,c270]) ).

cnf(c272,plain,
    ld(ld(X3,X2),mult(X,ld(X3,X2))) = mult(mult(ld(X2,X3),X),ld(X3,X2)),
    inference(transitivity,[status(thm)],[c238,c271]) ).

cnf(c273,plain,
    ld(ld(X2,X2),mult(X,ld(X2,X2))) = mult(mult(ld(X2,X2),X),ld(X2,X2)),
    inference(substitution,[status(thm)],[c272]) ).

cnf(c274,plain,
    mult(mult(ld(X2,X2),X),ld(X2,X2)) = ld(ld(X2,X2),mult(X,ld(X2,X2))),
    inference(symmetry,[status(thm)],[c273]) ).

cnf(c275,plain,
    mult(mult(mult(ld(X2,X2),X),ld(X2,X2)),mult(mult(ld(X2,X2),X),ld(X2,X2))) = mult(mult(mult(ld(X2,X2),X),ld(X2,X2)),ld(ld(X2,X2),mult(X,ld(X2,X2)))),
    inference(congruence,[status(thm)],[c274]) ).

cnf(c276,plain,
    ld(X,X) = mult(ld(X,X),ld(X,X)),
    inference(symmetry,[status(thm)],[c204]) ).

cnf(c277,plain,
    mult(ld(X2,X2),mult(ld(X2,X2),X)) = mult(mult(ld(X2,X2),ld(X2,X2)),mult(ld(X2,X2),X)),
    inference(congruence,[status(thm)],[c276]) ).

cnf(c278,plain,
    rd(ld(X2,X),ld(X,X2)) = mult(ld(X2,X),ld(X2,X)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c279,plain,
    mult(ld(X2,X),ld(X2,X)) = rd(ld(X2,X),ld(X,X2)),
    inference(symmetry,[status(thm)],[c278]) ).

cnf(c280,plain,
    mult(mult(ld(X3,X2),ld(X3,X2)),mult(ld(X2,X3),X)) = mult(rd(ld(X3,X2),ld(X2,X3)),mult(ld(X2,X3),X)),
    inference(congruence,[status(thm)],[c279]) ).

cnf(c281,plain,
    mult(rd(X3,X),mult(X,mult(rd(X2,X),X))) = mult(mult(X3,rd(X2,X)),X),
    inference(substitution,[status(thm)],[c21]) ).

cnf(c282,plain,
    mult(mult(X3,rd(X2,X)),X) = mult(rd(X3,X),mult(X,mult(rd(X2,X),X))),
    inference(symmetry,[status(thm)],[c281]) ).

cnf(c283,plain,
    mult(rd(X2,X),X) = X2,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c284,plain,
    mult(X,mult(rd(X2,X),X)) = mult(X,X2),
    inference(congruence,[status(thm)],[c283]) ).

cnf(c285,plain,
    mult(rd(X3,X),mult(X,mult(rd(X2,X),X))) = mult(rd(X3,X),mult(X,X2)),
    inference(congruence,[status(thm)],[c284]) ).

cnf(c286,plain,
    mult(mult(X3,rd(X2,X)),X) = mult(rd(X3,X),mult(X,X2)),
    inference(transitivity,[status(thm)],[c282,c285]) ).

cnf(c287,plain,
    mult(mult(ld(X3,X2),rd(X,ld(X2,X3))),ld(X2,X3)) = mult(rd(ld(X3,X2),ld(X2,X3)),mult(ld(X2,X3),X)),
    inference(substitution,[status(thm)],[c286]) ).

cnf(c288,plain,
    mult(rd(ld(X3,X2),ld(X2,X3)),mult(ld(X2,X3),X)) = mult(mult(ld(X3,X2),rd(X,ld(X2,X3))),ld(X2,X3)),
    inference(symmetry,[status(thm)],[c287]) ).

cnf(c289,plain,
    ld(ld(X2,X3),mult(rd(X,ld(X2,X3)),ld(X2,X3))) = mult(mult(ld(X3,X2),rd(X,ld(X2,X3))),ld(X2,X3)),
    inference(substitution,[status(thm)],[c272]) ).

cnf(c290,plain,
    mult(mult(ld(X3,X2),rd(X,ld(X2,X3))),ld(X2,X3)) = ld(ld(X2,X3),mult(rd(X,ld(X2,X3)),ld(X2,X3))),
    inference(symmetry,[status(thm)],[c289]) ).

cnf(c291,plain,
    mult(rd(X,ld(X2,X3)),ld(X2,X3)) = X,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c292,plain,
    ld(ld(X2,X3),mult(rd(X,ld(X2,X3)),ld(X2,X3))) = ld(ld(X2,X3),X),
    inference(congruence,[status(thm)],[c291]) ).

cnf(c293,plain,
    mult(mult(ld(X3,X2),rd(X,ld(X2,X3))),ld(X2,X3)) = ld(ld(X2,X3),X),
    inference(transitivity,[status(thm)],[c290,c292]) ).

cnf(c294,plain,
    mult(rd(ld(X3,X2),ld(X2,X3)),mult(ld(X2,X3),X)) = ld(ld(X2,X3),X),
    inference(transitivity,[status(thm)],[c288,c293]) ).

cnf(c295,plain,
    mult(mult(ld(X3,X2),ld(X3,X2)),mult(ld(X2,X3),X)) = ld(ld(X2,X3),X),
    inference(transitivity,[status(thm)],[c280,c294]) ).

cnf(c296,plain,
    mult(mult(ld(X2,X2),ld(X2,X2)),mult(ld(X2,X2),X)) = ld(ld(X2,X2),X),
    inference(substitution,[status(thm)],[c295]) ).

cnf(c297,plain,
    mult(ld(X2,X2),mult(ld(X2,X2),X)) = ld(ld(X2,X2),X),
    inference(transitivity,[status(thm)],[c277,c296]) ).

cnf(c298,plain,
    mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2)))) = ld(ld(X2,X2),mult(X,ld(X2,X2))),
    inference(substitution,[status(thm)],[c297]) ).

cnf(c299,plain,
    ld(ld(X2,X2),mult(X,ld(X2,X2))) = mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2)))),
    inference(symmetry,[status(thm)],[c298]) ).

cnf(c300,plain,
    mult(mult(mult(ld(X2,X2),X),ld(X2,X2)),ld(ld(X2,X2),mult(X,ld(X2,X2)))) = mult(mult(mult(ld(X2,X2),X),ld(X2,X2)),mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2))))),
    inference(congruence,[status(thm)],[c299]) ).

cnf(c301,plain,
    rd(ld(ld(X3,X2),X),ld(X3,X2)) = mult(ld(ld(X3,X2),X),ld(X2,X3)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c302,plain,
    mult(ld(ld(X3,X2),X),ld(X2,X3)) = rd(ld(ld(X3,X2),X),ld(X3,X2)),
    inference(symmetry,[status(thm)],[c301]) ).

cnf(c303,plain,
    ld(X3,mult(X3,rd(ld(ld(X2,X3),X),ld(X2,X3)))) = rd(ld(ld(X2,X3),X),ld(X2,X3)),
    inference(substitution,[status(thm)],[c7]) ).

cnf(c304,plain,
    rd(ld(ld(X2,X3),X),ld(X2,X3)) = ld(X3,mult(X3,rd(ld(ld(X2,X3),X),ld(X2,X3)))),
    inference(symmetry,[status(thm)],[c303]) ).

cnf(c305,plain,
    mult(mult(X2,rd(X,ld(X3,X2))),ld(X3,X2)) = mult(X3,mult(ld(X3,X2),X)),
    inference(substitution,[status(thm)],[c244]) ).

cnf(c306,plain,
    mult(X3,mult(ld(X3,X2),X)) = mult(mult(X2,rd(X,ld(X3,X2))),ld(X3,X2)),
    inference(symmetry,[status(thm)],[c305]) ).

cnf(c307,plain,
    rd(mult(X3,mult(ld(X3,X2),X)),ld(X3,X2)) = rd(mult(mult(X2,rd(X,ld(X3,X2))),ld(X3,X2)),ld(X3,X2)),
    inference(congruence,[status(thm)],[c306]) ).

cnf(c308,plain,
    rd(mult(mult(X2,rd(X,ld(X3,X2))),ld(X3,X2)),ld(X3,X2)) = mult(X2,rd(X,ld(X3,X2))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c309,plain,
    rd(mult(X3,mult(ld(X3,X2),X)),ld(X3,X2)) = mult(X2,rd(X,ld(X3,X2))),
    inference(transitivity,[status(thm)],[c307,c308]) ).

cnf(c310,plain,
    rd(mult(X2,mult(ld(X2,X3),ld(ld(X2,X3),X))),ld(X2,X3)) = mult(X3,rd(ld(ld(X2,X3),X),ld(X2,X3))),
    inference(substitution,[status(thm)],[c309]) ).

cnf(c311,plain,
    mult(X3,rd(ld(ld(X2,X3),X),ld(X2,X3))) = rd(mult(X2,mult(ld(X2,X3),ld(ld(X2,X3),X))),ld(X2,X3)),
    inference(symmetry,[status(thm)],[c310]) ).

cnf(c312,plain,
    mult(ld(X2,X3),ld(ld(X2,X3),X)) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c313,plain,
    mult(X2,mult(ld(X2,X3),ld(ld(X2,X3),X))) = mult(X2,X),
    inference(congruence,[status(thm)],[c312]) ).

cnf(c314,plain,
    rd(mult(X2,mult(ld(X2,X3),ld(ld(X2,X3),X))),ld(X2,X3)) = rd(mult(X2,X),ld(X2,X3)),
    inference(congruence,[status(thm)],[c313]) ).

cnf(c315,plain,
    mult(X3,rd(ld(ld(X2,X3),X),ld(X2,X3))) = rd(mult(X2,X),ld(X2,X3)),
    inference(transitivity,[status(thm)],[c311,c314]) ).

cnf(c316,plain,
    ld(X3,mult(X3,rd(ld(ld(X2,X3),X),ld(X2,X3)))) = ld(X3,rd(mult(X2,X),ld(X2,X3))),
    inference(congruence,[status(thm)],[c315]) ).

cnf(c317,plain,
    rd(ld(ld(X2,X3),X),ld(X2,X3)) = ld(X3,rd(mult(X2,X),ld(X2,X3))),
    inference(transitivity,[status(thm)],[c304,c316]) ).

cnf(c318,plain,
    rd(ld(ld(X3,X2),X),ld(X3,X2)) = ld(X2,rd(mult(X3,X),ld(X3,X2))),
    inference(substitution,[status(thm)],[c317]) ).

cnf(c319,plain,
    rd(mult(X3,X),ld(X3,X2)) = mult(mult(X3,X),ld(X2,X3)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c320,plain,
    ld(X2,rd(mult(X3,X),ld(X3,X2))) = ld(X2,mult(mult(X3,X),ld(X2,X3))),
    inference(congruence,[status(thm)],[c319]) ).

cnf(c321,plain,
    ld(X2,mult(mult(X3,X),ld(X2,X3))) = mult(ld(X2,X3),mult(X,ld(X2,X3))),
    inference(substitution,[status(thm)],[c174]) ).

cnf(c322,plain,
    ld(X2,rd(mult(X3,X),ld(X3,X2))) = mult(ld(X2,X3),mult(X,ld(X2,X3))),
    inference(transitivity,[status(thm)],[c320,c321]) ).

cnf(c323,plain,
    rd(ld(ld(X3,X2),X),ld(X3,X2)) = mult(ld(X2,X3),mult(X,ld(X2,X3))),
    inference(transitivity,[status(thm)],[c318,c322]) ).

cnf(c324,plain,
    mult(ld(ld(X3,X2),X),ld(X2,X3)) = mult(ld(X2,X3),mult(X,ld(X2,X3))),
    inference(transitivity,[status(thm)],[c302,c323]) ).

cnf(c325,plain,
    mult(ld(ld(X2,X2),X),ld(X2,X2)) = mult(ld(X2,X2),mult(X,ld(X2,X2))),
    inference(substitution,[status(thm)],[c324]) ).

cnf(c326,plain,
    mult(ld(X2,X2),mult(X,ld(X2,X2))) = mult(ld(ld(X2,X2),X),ld(X2,X2)),
    inference(symmetry,[status(thm)],[c325]) ).

cnf(c327,plain,
    mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2)))) = mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2))),
    inference(congruence,[status(thm)],[c326]) ).

cnf(c328,plain,
    mult(mult(mult(ld(X2,X2),X),ld(X2,X2)),mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2))))) = mult(mult(mult(ld(X2,X2),X),ld(X2,X2)),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2)))),
    inference(congruence,[status(thm)],[c327]) ).

cnf(c329,plain,
    ld(ld(X2,X2),mult(X,ld(X2,X2))) = mult(mult(ld(X2,X2),X),ld(X2,X2)),
    inference(substitution,[status(thm)],[c272]) ).

cnf(c330,plain,
    mult(mult(ld(X2,X2),X),ld(X2,X2)) = ld(ld(X2,X2),mult(X,ld(X2,X2))),
    inference(symmetry,[status(thm)],[c329]) ).

cnf(c331,plain,
    mult(mult(mult(ld(X2,X2),X),ld(X2,X2)),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2)))) = mult(ld(ld(X2,X2),mult(X,ld(X2,X2))),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2)))),
    inference(congruence,[status(thm)],[c330]) ).

cnf(c332,plain,
    mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2)))) = ld(ld(X2,X2),mult(X,ld(X2,X2))),
    inference(substitution,[status(thm)],[c297]) ).

cnf(c333,plain,
    ld(ld(X2,X2),mult(X,ld(X2,X2))) = mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2)))),
    inference(symmetry,[status(thm)],[c332]) ).

cnf(c334,plain,
    mult(ld(ld(X2,X2),mult(X,ld(X2,X2))),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2)))) = mult(mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2)))),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2)))),
    inference(congruence,[status(thm)],[c333]) ).

cnf(c335,plain,
    mult(ld(ld(X2,X2),X),ld(X2,X2)) = mult(ld(X2,X2),mult(X,ld(X2,X2))),
    inference(substitution,[status(thm)],[c324]) ).

cnf(c336,plain,
    mult(ld(X2,X2),mult(X,ld(X2,X2))) = mult(ld(ld(X2,X2),X),ld(X2,X2)),
    inference(symmetry,[status(thm)],[c335]) ).

cnf(c337,plain,
    mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2)))) = mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2))),
    inference(congruence,[status(thm)],[c336]) ).

cnf(c338,plain,
    mult(mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2)))),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2)))) = mult(mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2))),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2)))),
    inference(congruence,[status(thm)],[c337]) ).

cnf(c339,plain,
    mult(ld(X2,X2),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),X))) = ld(ld(X2,X2),mult(ld(ld(X2,X2),X),X)),
    inference(substitution,[status(thm)],[c297]) ).

cnf(c340,plain,
    ld(ld(X2,X2),mult(ld(ld(X2,X2),X),X)) = mult(ld(X2,X2),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),X))),
    inference(symmetry,[status(thm)],[c339]) ).

cnf(c341,plain,
    mult(X,mult(ld(X,X2),mult(X,ld(X,X2)))) = mult(mult(X2,X),ld(X,X2)),
    inference(substitution,[status(thm)],[c156]) ).

cnf(c342,plain,
    mult(mult(X2,X),ld(X,X2)) = mult(X,mult(ld(X,X2),mult(X,ld(X,X2)))),
    inference(symmetry,[status(thm)],[c341]) ).

cnf(c343,plain,
    mult(X,ld(X,X2)) = X2,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c344,plain,
    mult(ld(X,X2),mult(X,ld(X,X2))) = mult(ld(X,X2),X2),
    inference(congruence,[status(thm)],[c343]) ).

cnf(c345,plain,
    mult(X,mult(ld(X,X2),mult(X,ld(X,X2)))) = mult(X,mult(ld(X,X2),X2)),
    inference(congruence,[status(thm)],[c344]) ).

cnf(c346,plain,
    mult(mult(X2,X),ld(X,X2)) = mult(X,mult(ld(X,X2),X2)),
    inference(transitivity,[status(thm)],[c342,c345]) ).

cnf(c347,plain,
    mult(mult(X,ld(X2,X2)),ld(ld(X2,X2),X)) = mult(ld(X2,X2),mult(ld(ld(X2,X2),X),X)),
    inference(substitution,[status(thm)],[c346]) ).

cnf(c348,plain,
    mult(ld(X2,X2),mult(ld(ld(X2,X2),X),X)) = mult(mult(X,ld(X2,X2)),ld(ld(X2,X2),X)),
    inference(symmetry,[status(thm)],[c347]) ).

cnf(c349,plain,
    mult(ld(X2,X2),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),X))) = mult(ld(X2,X2),mult(mult(X,ld(X2,X2)),ld(ld(X2,X2),X))),
    inference(congruence,[status(thm)],[c348]) ).

cnf(c350,plain,
    ld(ld(X2,X2),X) = mult(ld(X2,X2),mult(ld(X2,X2),X)),
    inference(symmetry,[status(thm)],[c297]) ).

cnf(c351,plain,
    mult(mult(X,ld(X2,X2)),ld(ld(X2,X2),X)) = mult(mult(X,ld(X2,X2)),mult(ld(X2,X2),mult(ld(X2,X2),X))),
    inference(congruence,[status(thm)],[c350]) ).

cnf(c352,plain,
    mult(ld(X2,X2),mult(mult(X,ld(X2,X2)),ld(ld(X2,X2),X))) = mult(ld(X2,X2),mult(mult(X,ld(X2,X2)),mult(ld(X2,X2),mult(ld(X2,X2),X)))),
    inference(congruence,[status(thm)],[c351]) ).

cnf(c353,plain,
    mult(rd(X4,ld(X,X2)),mult(ld(X,X2),mult(mult(X3,ld(X2,X)),ld(X,X2)))) = mult(mult(X4,mult(X3,ld(X2,X))),ld(X,X2)),
    inference(substitution,[status(thm)],[c21]) ).

cnf(c354,plain,
    mult(mult(X4,mult(X3,ld(X2,X))),ld(X,X2)) = mult(rd(X4,ld(X,X2)),mult(ld(X,X2),mult(mult(X3,ld(X2,X)),ld(X,X2)))),
    inference(symmetry,[status(thm)],[c353]) ).

cnf(c355,plain,
    mult(ld(X,X2),mult(mult(X3,ld(X2,X)),ld(X,X2))) = mult(ld(X,X2),X3),
    inference(congruence,[status(thm)],[c222]) ).

cnf(c356,plain,
    mult(rd(X4,ld(X,X2)),mult(ld(X,X2),mult(mult(X3,ld(X2,X)),ld(X,X2)))) = mult(rd(X4,ld(X,X2)),mult(ld(X,X2),X3)),
    inference(congruence,[status(thm)],[c355]) ).

cnf(c357,plain,
    rd(X3,ld(X,X2)) = mult(X3,ld(X2,X)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c358,plain,
    mult(rd(X4,ld(X,X2)),mult(ld(X,X2),X3)) = mult(mult(X4,ld(X2,X)),mult(ld(X,X2),X3)),
    inference(congruence,[status(thm)],[c357]) ).

cnf(c359,plain,
    mult(rd(X4,ld(X,X2)),mult(ld(X,X2),mult(mult(X3,ld(X2,X)),ld(X,X2)))) = mult(mult(X4,ld(X2,X)),mult(ld(X,X2),X3)),
    inference(transitivity,[status(thm)],[c356,c358]) ).

cnf(c360,plain,
    mult(mult(X4,mult(X3,ld(X2,X))),ld(X,X2)) = mult(mult(X4,ld(X2,X)),mult(ld(X,X2),X3)),
    inference(transitivity,[status(thm)],[c354,c359]) ).

cnf(c361,plain,
    mult(mult(X,mult(mult(ld(X2,X2),X),ld(X2,X2))),ld(X2,X2)) = mult(mult(X,ld(X2,X2)),mult(ld(X2,X2),mult(ld(X2,X2),X))),
    inference(substitution,[status(thm)],[c360]) ).

cnf(c362,plain,
    mult(mult(X,ld(X2,X2)),mult(ld(X2,X2),mult(ld(X2,X2),X))) = mult(mult(X,mult(mult(ld(X2,X2),X),ld(X2,X2))),ld(X2,X2)),
    inference(symmetry,[status(thm)],[c361]) ).

cnf(c363,plain,
    mult(ld(X2,X2),mult(mult(X,ld(X2,X2)),mult(ld(X2,X2),mult(ld(X2,X2),X)))) = mult(ld(X2,X2),mult(mult(X,mult(mult(ld(X2,X2),X),ld(X2,X2))),ld(X2,X2))),
    inference(congruence,[status(thm)],[c362]) ).

cnf(c364,plain,
    ld(ld(X2,X2),mult(X,ld(X2,X2))) = mult(mult(ld(X2,X2),X),ld(X2,X2)),
    inference(substitution,[status(thm)],[c272]) ).

cnf(c365,plain,
    mult(mult(ld(X2,X2),X),ld(X2,X2)) = ld(ld(X2,X2),mult(X,ld(X2,X2))),
    inference(symmetry,[status(thm)],[c364]) ).

cnf(c366,plain,
    mult(X,mult(mult(ld(X2,X2),X),ld(X2,X2))) = mult(X,ld(ld(X2,X2),mult(X,ld(X2,X2)))),
    inference(congruence,[status(thm)],[c365]) ).

cnf(c367,plain,
    mult(mult(X,mult(mult(ld(X2,X2),X),ld(X2,X2))),ld(X2,X2)) = mult(mult(X,ld(ld(X2,X2),mult(X,ld(X2,X2)))),ld(X2,X2)),
    inference(congruence,[status(thm)],[c366]) ).

cnf(c368,plain,
    mult(ld(X2,X2),mult(mult(X,mult(mult(ld(X2,X2),X),ld(X2,X2))),ld(X2,X2))) = mult(ld(X2,X2),mult(mult(X,ld(ld(X2,X2),mult(X,ld(X2,X2)))),ld(X2,X2))),
    inference(congruence,[status(thm)],[c367]) ).

cnf(c369,plain,
    rd(X,ld(X2,X2)) = mult(X,ld(X2,X2)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c370,plain,
    mult(X,ld(X2,X2)) = rd(X,ld(X2,X2)),
    inference(symmetry,[status(thm)],[c369]) ).

cnf(c371,plain,
    ld(ld(X2,X2),mult(X,ld(X2,X2))) = ld(ld(X2,X2),rd(X,ld(X2,X2))),
    inference(congruence,[status(thm)],[c370]) ).

cnf(c372,plain,
    mult(X,ld(ld(X2,X2),mult(X,ld(X2,X2)))) = mult(X,ld(ld(X2,X2),rd(X,ld(X2,X2)))),
    inference(congruence,[status(thm)],[c371]) ).

cnf(c373,plain,
    mult(mult(X,ld(ld(X2,X2),mult(X,ld(X2,X2)))),ld(X2,X2)) = mult(mult(X,ld(ld(X2,X2),rd(X,ld(X2,X2)))),ld(X2,X2)),
    inference(congruence,[status(thm)],[c372]) ).

cnf(c374,plain,
    mult(ld(X2,X2),mult(mult(X,ld(ld(X2,X2),mult(X,ld(X2,X2)))),ld(X2,X2))) = mult(ld(X2,X2),mult(mult(X,ld(ld(X2,X2),rd(X,ld(X2,X2)))),ld(X2,X2))),
    inference(congruence,[status(thm)],[c373]) ).

cnf(c375,plain,
    mult(mult(rd(X,X2),X2),ld(X2,rd(X,X2))) = mult(X2,mult(ld(X2,rd(X,X2)),rd(X,X2))),
    inference(substitution,[status(thm)],[c346]) ).

cnf(c376,plain,
    mult(X2,mult(ld(X2,rd(X,X2)),rd(X,X2))) = mult(mult(rd(X,X2),X2),ld(X2,rd(X,X2))),
    inference(symmetry,[status(thm)],[c375]) ).

cnf(c377,plain,
    mult(rd(X,X2),X2) = X,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c378,plain,
    mult(mult(rd(X,X2),X2),ld(X2,rd(X,X2))) = mult(X,ld(X2,rd(X,X2))),
    inference(congruence,[status(thm)],[c377]) ).

cnf(c379,plain,
    mult(X2,mult(ld(X2,rd(X,X2)),rd(X,X2))) = mult(X,ld(X2,rd(X,X2))),
    inference(transitivity,[status(thm)],[c376,c378]) ).

cnf(c380,plain,
    mult(ld(X2,X2),mult(ld(ld(X2,X2),rd(X,ld(X2,X2))),rd(X,ld(X2,X2)))) = mult(X,ld(ld(X2,X2),rd(X,ld(X2,X2)))),
    inference(substitution,[status(thm)],[c379]) ).

cnf(c381,plain,
    mult(X,ld(ld(X2,X2),rd(X,ld(X2,X2)))) = mult(ld(X2,X2),mult(ld(ld(X2,X2),rd(X,ld(X2,X2))),rd(X,ld(X2,X2)))),
    inference(symmetry,[status(thm)],[c380]) ).

cnf(c382,plain,
    mult(mult(X,ld(ld(X2,X2),rd(X,ld(X2,X2)))),ld(X2,X2)) = mult(mult(ld(X2,X2),mult(ld(ld(X2,X2),rd(X,ld(X2,X2))),rd(X,ld(X2,X2)))),ld(X2,X2)),
    inference(congruence,[status(thm)],[c381]) ).

cnf(c383,plain,
    mult(ld(X2,X2),mult(mult(X,ld(ld(X2,X2),rd(X,ld(X2,X2)))),ld(X2,X2))) = mult(ld(X2,X2),mult(mult(ld(X2,X2),mult(ld(ld(X2,X2),rd(X,ld(X2,X2))),rd(X,ld(X2,X2)))),ld(X2,X2))),
    inference(congruence,[status(thm)],[c382]) ).

cnf(c384,plain,
    ld(X3,mult(mult(X2,mult(ld(X2,X3),X)),ld(X3,X2))) = mult(ld(X3,X2),mult(mult(ld(X2,X3),X),ld(X3,X2))),
    inference(substitution,[status(thm)],[c174]) ).

cnf(c385,plain,
    mult(ld(X3,X2),mult(mult(ld(X2,X3),X),ld(X3,X2))) = ld(X3,mult(mult(X2,mult(ld(X2,X3),X)),ld(X3,X2))),
    inference(symmetry,[status(thm)],[c384]) ).

cnf(c386,plain,
    mult(mult(X2,mult(ld(X2,X3),X)),ld(X3,X2)) = mult(X3,mult(X,ld(X3,X2))),
    inference(substitution,[status(thm)],[c252]) ).

cnf(c387,plain,
    ld(X3,mult(mult(X2,mult(ld(X2,X3),X)),ld(X3,X2))) = ld(X3,mult(X3,mult(X,ld(X3,X2)))),
    inference(congruence,[status(thm)],[c386]) ).

cnf(c388,plain,
    ld(X3,mult(X3,mult(X,ld(X3,X2)))) = mult(X,ld(X3,X2)),
    inference(substitution,[status(thm)],[c7]) ).

cnf(c389,plain,
    ld(X3,mult(mult(X2,mult(ld(X2,X3),X)),ld(X3,X2))) = mult(X,ld(X3,X2)),
    inference(transitivity,[status(thm)],[c387,c388]) ).

cnf(c390,plain,
    mult(ld(X3,X2),mult(mult(ld(X2,X3),X),ld(X3,X2))) = mult(X,ld(X3,X2)),
    inference(transitivity,[status(thm)],[c385,c389]) ).

cnf(c391,plain,
    mult(ld(X2,X2),mult(mult(ld(X2,X2),mult(ld(ld(X2,X2),rd(X,ld(X2,X2))),rd(X,ld(X2,X2)))),ld(X2,X2))) = mult(mult(ld(ld(X2,X2),rd(X,ld(X2,X2))),rd(X,ld(X2,X2))),ld(X2,X2)),
    inference(substitution,[status(thm)],[c390]) ).

cnf(c392,plain,
    mult(mult(ld(ld(X2,X2),rd(X,ld(X2,X2))),rd(X,ld(X2,X2))),ld(X2,X2)) = mult(rd(ld(ld(X2,X2),rd(X,ld(X2,X2))),ld(X2,X2)),mult(ld(X2,X2),X)),
    inference(substitution,[status(thm)],[c286]) ).

cnf(c393,plain,
    rd(ld(ld(X2,X2),rd(X,ld(X2,X2))),ld(X2,X2)) = mult(ld(ld(X2,X2),rd(X,ld(X2,X2))),ld(X2,X2)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c394,plain,
    mult(rd(ld(ld(X2,X2),rd(X,ld(X2,X2))),ld(X2,X2)),mult(ld(X2,X2),X)) = mult(mult(ld(ld(X2,X2),rd(X,ld(X2,X2))),ld(X2,X2)),mult(ld(X2,X2),X)),
    inference(congruence,[status(thm)],[c393]) ).

cnf(c395,plain,
    mult(ld(ld(X2,X2),rd(X,ld(X2,X2))),ld(X2,X2)) = mult(ld(X2,X2),mult(rd(X,ld(X2,X2)),ld(X2,X2))),
    inference(substitution,[status(thm)],[c324]) ).

cnf(c396,plain,
    mult(mult(ld(ld(X2,X2),rd(X,ld(X2,X2))),ld(X2,X2)),mult(ld(X2,X2),X)) = mult(mult(ld(X2,X2),mult(rd(X,ld(X2,X2)),ld(X2,X2))),mult(ld(X2,X2),X)),
    inference(congruence,[status(thm)],[c395]) ).

cnf(c397,plain,
    mult(rd(X,ld(X2,X2)),ld(X2,X2)) = X,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c398,plain,
    mult(ld(X2,X2),mult(rd(X,ld(X2,X2)),ld(X2,X2))) = mult(ld(X2,X2),X),
    inference(congruence,[status(thm)],[c397]) ).

cnf(c399,plain,
    mult(mult(ld(X2,X2),mult(rd(X,ld(X2,X2)),ld(X2,X2))),mult(ld(X2,X2),X)) = mult(mult(ld(X2,X2),X),mult(ld(X2,X2),X)),
    inference(congruence,[status(thm)],[c398]) ).

cnf(c400,plain,
    mult(mult(ld(ld(X2,X2),rd(X,ld(X2,X2))),ld(X2,X2)),mult(ld(X2,X2),X)) = mult(mult(ld(X2,X2),X),mult(ld(X2,X2),X)),
    inference(transitivity,[status(thm)],[c396,c399]) ).

cnf(c401,plain,
    mult(rd(ld(ld(X2,X2),rd(X,ld(X2,X2))),ld(X2,X2)),mult(ld(X2,X2),X)) = mult(mult(ld(X2,X2),X),mult(ld(X2,X2),X)),
    inference(transitivity,[status(thm)],[c394,c400]) ).

cnf(c402,plain,
    mult(mult(ld(ld(X2,X2),rd(X,ld(X2,X2))),rd(X,ld(X2,X2))),ld(X2,X2)) = mult(mult(ld(X2,X2),X),mult(ld(X2,X2),X)),
    inference(transitivity,[status(thm)],[c392,c401]) ).

cnf(c403,plain,
    mult(ld(X2,X2),mult(mult(ld(X2,X2),mult(ld(ld(X2,X2),rd(X,ld(X2,X2))),rd(X,ld(X2,X2)))),ld(X2,X2))) = mult(mult(ld(X2,X2),X),mult(ld(X2,X2),X)),
    inference(transitivity,[status(thm)],[c391,c402]) ).

cnf(c404,plain,
    mult(ld(X2,X2),mult(mult(X,ld(ld(X2,X2),rd(X,ld(X2,X2)))),ld(X2,X2))) = mult(mult(ld(X2,X2),X),mult(ld(X2,X2),X)),
    inference(transitivity,[status(thm)],[c383,c403]) ).

cnf(c405,plain,
    mult(ld(X2,X2),mult(mult(X,ld(ld(X2,X2),mult(X,ld(X2,X2)))),ld(X2,X2))) = mult(mult(ld(X2,X2),X),mult(ld(X2,X2),X)),
    inference(transitivity,[status(thm)],[c374,c404]) ).

cnf(c406,plain,
    mult(ld(X2,X2),mult(mult(X,mult(mult(ld(X2,X2),X),ld(X2,X2))),ld(X2,X2))) = mult(mult(ld(X2,X2),X),mult(ld(X2,X2),X)),
    inference(transitivity,[status(thm)],[c368,c405]) ).

cnf(c407,plain,
    mult(ld(X2,X2),mult(mult(X,ld(X2,X2)),mult(ld(X2,X2),mult(ld(X2,X2),X)))) = mult(mult(ld(X2,X2),X),mult(ld(X2,X2),X)),
    inference(transitivity,[status(thm)],[c363,c406]) ).

cnf(c408,plain,
    mult(ld(X2,X2),mult(mult(X,ld(X2,X2)),ld(ld(X2,X2),X))) = mult(mult(ld(X2,X2),X),mult(ld(X2,X2),X)),
    inference(transitivity,[status(thm)],[c352,c407]) ).

cnf(c409,plain,
    mult(ld(X2,X2),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),X))) = mult(mult(ld(X2,X2),X),mult(ld(X2,X2),X)),
    inference(transitivity,[status(thm)],[c349,c408]) ).

cnf(c410,plain,
    ld(ld(X2,X2),mult(ld(ld(X2,X2),X),X)) = mult(mult(ld(X2,X2),X),mult(ld(X2,X2),X)),
    inference(transitivity,[status(thm)],[c340,c409]) ).

cnf(c411,plain,
    ld(ld(X2,X2),mult(ld(ld(X2,X2),mult(X,ld(X2,X2))),mult(X,ld(X2,X2)))) = mult(mult(ld(X2,X2),mult(X,ld(X2,X2))),mult(ld(X2,X2),mult(X,ld(X2,X2)))),
    inference(substitution,[status(thm)],[c410]) ).

cnf(c412,plain,
    mult(mult(ld(X2,X2),mult(X,ld(X2,X2))),mult(ld(X2,X2),mult(X,ld(X2,X2)))) = ld(ld(X2,X2),mult(ld(ld(X2,X2),mult(X,ld(X2,X2))),mult(X,ld(X2,X2)))),
    inference(symmetry,[status(thm)],[c411]) ).

cnf(c413,plain,
    mult(ld(X,X),mult(ld(X,X),ld(X,X))) = ld(X,X),
    inference(substitution,[status(thm)],[c217]) ).

cnf(c414,plain,
    ld(X,X) = mult(ld(X,X),mult(ld(X,X),ld(X,X))),
    inference(symmetry,[status(thm)],[c413]) ).

cnf(c415,plain,
    ld(X,ld(X2,X2)) = ld(X,mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2)))),
    inference(congruence,[status(thm)],[c414]) ).

cnf(c416,plain,
    mult(ld(X2,X2),ld(X,ld(X2,X2))) = mult(ld(X2,X2),ld(X,mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))))),
    inference(congruence,[status(thm)],[c415]) ).

cnf(c417,plain,
    ld(mult(ld(X2,X2),ld(X,ld(X2,X2))),X) = ld(mult(ld(X2,X2),ld(X,mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))))),X),
    inference(congruence,[status(thm)],[c416]) ).

cnf(c418,plain,
    ld(rd(X3,ld(mult(X3,X2),X)),mult(mult(X3,X2),ld(mult(X3,X2),X))) = mult(ld(mult(X3,X2),X),mult(X2,ld(mult(X3,X2),X))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c419,plain,
    mult(ld(mult(X3,X2),X),mult(X2,ld(mult(X3,X2),X))) = ld(rd(X3,ld(mult(X3,X2),X)),mult(mult(X3,X2),ld(mult(X3,X2),X))),
    inference(symmetry,[status(thm)],[c418]) ).

cnf(c420,plain,
    mult(mult(X3,X2),ld(mult(X3,X2),X)) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c421,plain,
    ld(rd(X3,ld(mult(X3,X2),X)),mult(mult(X3,X2),ld(mult(X3,X2),X))) = ld(rd(X3,ld(mult(X3,X2),X)),X),
    inference(congruence,[status(thm)],[c420]) ).

cnf(c422,plain,
    rd(X3,ld(mult(X3,X2),X)) = mult(X3,ld(X,mult(X3,X2))),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c423,plain,
    ld(rd(X3,ld(mult(X3,X2),X)),X) = ld(mult(X3,ld(X,mult(X3,X2))),X),
    inference(congruence,[status(thm)],[c422]) ).

cnf(c424,plain,
    ld(rd(X3,ld(mult(X3,X2),X)),mult(mult(X3,X2),ld(mult(X3,X2),X))) = ld(mult(X3,ld(X,mult(X3,X2))),X),
    inference(transitivity,[status(thm)],[c421,c423]) ).

cnf(c425,plain,
    mult(ld(mult(X3,X2),X),mult(X2,ld(mult(X3,X2),X))) = ld(mult(X3,ld(X,mult(X3,X2))),X),
    inference(transitivity,[status(thm)],[c419,c424]) ).

cnf(c426,plain,
    mult(ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X),mult(mult(ld(X2,X2),ld(X2,X2)),ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X))) = ld(mult(ld(X2,X2),ld(X,mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))))),X),
    inference(substitution,[status(thm)],[c425]) ).

cnf(c427,plain,
    ld(mult(ld(X2,X2),ld(X,mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))))),X) = mult(ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X),mult(mult(ld(X2,X2),ld(X2,X2)),ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X))),
    inference(symmetry,[status(thm)],[c426]) ).

cnf(c428,plain,
    mult(ld(X,X),mult(ld(X,X),ld(X,X))) = ld(X,X),
    inference(substitution,[status(thm)],[c217]) ).

cnf(c429,plain,
    ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X) = ld(ld(X2,X2),X),
    inference(congruence,[status(thm)],[c428]) ).

cnf(c430,plain,
    mult(ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X),mult(mult(ld(X2,X2),ld(X2,X2)),ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X))) = mult(ld(ld(X2,X2),X),mult(mult(ld(X2,X2),ld(X2,X2)),ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X))),
    inference(congruence,[status(thm)],[c429]) ).

cnf(c431,plain,
    mult(mult(ld(X2,X2),ld(X2,X2)),ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X)) = mult(ld(X2,X2),ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X)),
    inference(congruence,[status(thm)],[c204]) ).

cnf(c432,plain,
    mult(ld(ld(X2,X2),X),mult(mult(ld(X2,X2),ld(X2,X2)),ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X))) = mult(ld(ld(X2,X2),X),mult(ld(X2,X2),ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X))),
    inference(congruence,[status(thm)],[c431]) ).

cnf(c433,plain,
    mult(ld(X,X),mult(ld(X,X),ld(X,X))) = mult(ld(X,X),ld(X,X)),
    inference(congruence,[status(thm)],[c204]) ).

cnf(c434,plain,
    ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X) = ld(mult(ld(X2,X2),ld(X2,X2)),X),
    inference(congruence,[status(thm)],[c433]) ).

cnf(c435,plain,
    mult(ld(X2,X2),ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X)) = mult(ld(X2,X2),ld(mult(ld(X2,X2),ld(X2,X2)),X)),
    inference(congruence,[status(thm)],[c434]) ).

cnf(c436,plain,
    mult(ld(ld(X2,X2),X),mult(ld(X2,X2),ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X))) = mult(ld(ld(X2,X2),X),mult(ld(X2,X2),ld(mult(ld(X2,X2),ld(X2,X2)),X))),
    inference(congruence,[status(thm)],[c435]) ).

cnf(c437,plain,
    ld(mult(ld(X2,X2),ld(X2,X2)),X) = ld(ld(X2,X2),X),
    inference(congruence,[status(thm)],[c204]) ).

cnf(c438,plain,
    mult(ld(X2,X2),ld(mult(ld(X2,X2),ld(X2,X2)),X)) = mult(ld(X2,X2),ld(ld(X2,X2),X)),
    inference(congruence,[status(thm)],[c437]) ).

cnf(c439,plain,
    mult(ld(ld(X2,X2),X),mult(ld(X2,X2),ld(mult(ld(X2,X2),ld(X2,X2)),X))) = mult(ld(ld(X2,X2),X),mult(ld(X2,X2),ld(ld(X2,X2),X))),
    inference(congruence,[status(thm)],[c438]) ).

cnf(c440,plain,
    mult(ld(X2,X2),ld(ld(X2,X2),X)) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c441,plain,
    mult(ld(ld(X2,X2),X),mult(ld(X2,X2),ld(ld(X2,X2),X))) = mult(ld(ld(X2,X2),X),X),
    inference(congruence,[status(thm)],[c440]) ).

cnf(c442,plain,
    mult(ld(ld(X2,X2),X),mult(ld(X2,X2),ld(mult(ld(X2,X2),ld(X2,X2)),X))) = mult(ld(ld(X2,X2),X),X),
    inference(transitivity,[status(thm)],[c439,c441]) ).

cnf(c443,plain,
    mult(ld(ld(X2,X2),X),mult(ld(X2,X2),ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X))) = mult(ld(ld(X2,X2),X),X),
    inference(transitivity,[status(thm)],[c436,c442]) ).

cnf(c444,plain,
    mult(ld(ld(X2,X2),X),mult(mult(ld(X2,X2),ld(X2,X2)),ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X))) = mult(ld(ld(X2,X2),X),X),
    inference(transitivity,[status(thm)],[c432,c443]) ).

cnf(c445,plain,
    mult(ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X),mult(mult(ld(X2,X2),ld(X2,X2)),ld(mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))),X))) = mult(ld(ld(X2,X2),X),X),
    inference(transitivity,[status(thm)],[c430,c444]) ).

cnf(c446,plain,
    ld(mult(ld(X2,X2),ld(X,mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2))))),X) = mult(ld(ld(X2,X2),X),X),
    inference(transitivity,[status(thm)],[c427,c445]) ).

cnf(c447,plain,
    ld(mult(ld(X2,X2),ld(X,ld(X2,X2))),X) = mult(ld(ld(X2,X2),X),X),
    inference(transitivity,[status(thm)],[c417,c446]) ).

cnf(c448,plain,
    ld(mult(ld(X2,X2),ld(mult(X,ld(X2,X2)),ld(X2,X2))),mult(X,ld(X2,X2))) = mult(ld(ld(X2,X2),mult(X,ld(X2,X2))),mult(X,ld(X2,X2))),
    inference(substitution,[status(thm)],[c447]) ).

cnf(c449,plain,
    mult(ld(ld(X2,X2),mult(X,ld(X2,X2))),mult(X,ld(X2,X2))) = ld(mult(ld(X2,X2),ld(mult(X,ld(X2,X2)),ld(X2,X2))),mult(X,ld(X2,X2))),
    inference(symmetry,[status(thm)],[c448]) ).

cnf(c450,plain,
    ld(ld(X2,X2),mult(ld(ld(X2,X2),mult(X,ld(X2,X2))),mult(X,ld(X2,X2)))) = ld(ld(X2,X2),ld(mult(ld(X2,X2),ld(mult(X,ld(X2,X2)),ld(X2,X2))),mult(X,ld(X2,X2)))),
    inference(congruence,[status(thm)],[c449]) ).

cnf(c451,plain,
    rd(X,ld(X2,X3)) = mult(X,ld(X3,X2)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c452,plain,
    mult(X,ld(X3,X2)) = rd(X,ld(X2,X3)),
    inference(symmetry,[status(thm)],[c451]) ).

cnf(c453,plain,
    ld(X2,mult(X,ld(X4,X3))) = ld(X2,rd(X,ld(X3,X4))),
    inference(congruence,[status(thm)],[c452]) ).

cnf(c454,plain,
    ld(ld(X4,X3),ld(X2,mult(X,ld(X4,X3)))) = ld(ld(X4,X3),ld(X2,rd(X,ld(X3,X4)))),
    inference(congruence,[status(thm)],[c453]) ).

cnf(c455,plain,
    mult(mult(ld(X3,X4),ld(X3,X4)),mult(ld(X4,X3),ld(X2,rd(X,ld(X3,X4))))) = ld(ld(X4,X3),ld(X2,rd(X,ld(X3,X4)))),
    inference(substitution,[status(thm)],[c295]) ).

cnf(c456,plain,
    ld(ld(X4,X3),ld(X2,rd(X,ld(X3,X4)))) = mult(mult(ld(X3,X4),ld(X3,X4)),mult(ld(X4,X3),ld(X2,rd(X,ld(X3,X4))))),
    inference(symmetry,[status(thm)],[c455]) ).

cnf(c457,plain,
    mult(mult(ld(X3,X4),mult(ld(X2,rd(X,ld(X3,X4))),ld(X3,X4))),ld(X4,X3)) = mult(mult(ld(X3,X4),ld(X3,X4)),mult(ld(X4,X3),ld(X2,rd(X,ld(X3,X4))))),
    inference(substitution,[status(thm)],[c360]) ).

cnf(c458,plain,
    mult(mult(ld(X3,X4),ld(X3,X4)),mult(ld(X4,X3),ld(X2,rd(X,ld(X3,X4))))) = mult(mult(ld(X3,X4),mult(ld(X2,rd(X,ld(X3,X4))),ld(X3,X4))),ld(X4,X3)),
    inference(symmetry,[status(thm)],[c457]) ).

cnf(c459,plain,
    ld(rd(X2,X3),mult(rd(X,X3),X3)) = mult(X3,mult(ld(X2,rd(X,X3)),X3)),
    inference(substitution,[status(thm)],[c27]) ).

cnf(c460,plain,
    mult(X3,mult(ld(X2,rd(X,X3)),X3)) = ld(rd(X2,X3),mult(rd(X,X3),X3)),
    inference(symmetry,[status(thm)],[c459]) ).

cnf(c461,plain,
    mult(rd(X,X2),X2) = X,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c462,plain,
    ld(rd(X2,X3),mult(rd(X,X3),X3)) = ld(rd(X2,X3),X),
    inference(congruence,[status(thm)],[c461]) ).

cnf(c463,plain,
    mult(X3,mult(ld(X2,rd(X,X3)),X3)) = ld(rd(X2,X3),X),
    inference(transitivity,[status(thm)],[c460,c462]) ).

cnf(c464,plain,
    mult(ld(X3,X4),mult(ld(X2,rd(X,ld(X3,X4))),ld(X3,X4))) = ld(rd(X2,ld(X3,X4)),X),
    inference(substitution,[status(thm)],[c463]) ).

cnf(c465,plain,
    mult(mult(ld(X3,X4),mult(ld(X2,rd(X,ld(X3,X4))),ld(X3,X4))),ld(X4,X3)) = mult(ld(rd(X2,ld(X3,X4)),X),ld(X4,X3)),
    inference(congruence,[status(thm)],[c464]) ).

cnf(c466,plain,
    rd(X,ld(X2,X3)) = mult(X,ld(X3,X2)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c467,plain,
    ld(rd(X2,ld(X3,X4)),X) = ld(mult(X2,ld(X4,X3)),X),
    inference(congruence,[status(thm)],[c466]) ).

cnf(c468,plain,
    mult(ld(rd(X2,ld(X3,X4)),X),ld(X4,X3)) = mult(ld(mult(X2,ld(X4,X3)),X),ld(X4,X3)),
    inference(congruence,[status(thm)],[c467]) ).

cnf(c469,plain,
    mult(mult(ld(X3,X4),mult(ld(X2,rd(X,ld(X3,X4))),ld(X3,X4))),ld(X4,X3)) = mult(ld(mult(X2,ld(X4,X3)),X),ld(X4,X3)),
    inference(transitivity,[status(thm)],[c465,c468]) ).

cnf(c470,plain,
    mult(mult(ld(X3,X4),ld(X3,X4)),mult(ld(X4,X3),ld(X2,rd(X,ld(X3,X4))))) = mult(ld(mult(X2,ld(X4,X3)),X),ld(X4,X3)),
    inference(transitivity,[status(thm)],[c458,c469]) ).

cnf(c471,plain,
    ld(ld(X4,X3),ld(X2,rd(X,ld(X3,X4)))) = mult(ld(mult(X2,ld(X4,X3)),X),ld(X4,X3)),
    inference(transitivity,[status(thm)],[c456,c470]) ).

cnf(c472,plain,
    ld(ld(X4,X3),ld(X2,mult(X,ld(X4,X3)))) = mult(ld(mult(X2,ld(X4,X3)),X),ld(X4,X3)),
    inference(transitivity,[status(thm)],[c454,c471]) ).

cnf(c473,plain,
    ld(ld(X2,X2),ld(mult(ld(X2,X2),ld(mult(X,ld(X2,X2)),ld(X2,X2))),mult(X,ld(X2,X2)))) = mult(ld(mult(mult(ld(X2,X2),ld(mult(X,ld(X2,X2)),ld(X2,X2))),ld(X2,X2)),X),ld(X2,X2)),
    inference(substitution,[status(thm)],[c472]) ).

cnf(c474,plain,
    rd(ld(X2,X2),ld(ld(X2,X2),X)) = mult(ld(X2,X2),ld(X,ld(X2,X2))),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c475,plain,
    mult(ld(X2,X2),ld(X,ld(X2,X2))) = rd(ld(X2,X2),ld(ld(X2,X2),X)),
    inference(symmetry,[status(thm)],[c474]) ).

cnf(c476,plain,
    mult(mult(ld(X2,X2),ld(X,ld(X2,X2))),ld(X2,X2)) = mult(rd(ld(X2,X2),ld(ld(X2,X2),X)),ld(X2,X2)),
    inference(congruence,[status(thm)],[c475]) ).

cnf(c477,plain,
    ld(X,X) = mult(ld(X,X),ld(X,X)),
    inference(symmetry,[status(thm)],[c204]) ).

cnf(c478,plain,
    mult(ld(X2,X2),mult(ld(X,ld(X2,X2)),ld(X2,X2))) = mult(mult(ld(X2,X2),ld(X2,X2)),mult(ld(X,ld(X2,X2)),ld(X2,X2))),
    inference(congruence,[status(thm)],[c477]) ).

cnf(c479,plain,
    ld(X,X) = mult(ld(X,X),ld(X,X)),
    inference(symmetry,[status(thm)],[c204]) ).

cnf(c480,plain,
    mult(ld(X,ld(X2,X2)),ld(X2,X2)) = mult(ld(X,ld(X2,X2)),mult(ld(X2,X2),ld(X2,X2))),
    inference(congruence,[status(thm)],[c479]) ).

cnf(c481,plain,
    mult(mult(ld(X2,X2),ld(X2,X2)),mult(ld(X,ld(X2,X2)),ld(X2,X2))) = mult(mult(ld(X2,X2),ld(X2,X2)),mult(ld(X,ld(X2,X2)),mult(ld(X2,X2),ld(X2,X2)))),
    inference(congruence,[status(thm)],[c480]) ).

cnf(c482,plain,
    ld(rd(X,mult(ld(X2,X2),ld(X2,X2))),mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2)))) = mult(mult(ld(X2,X2),ld(X2,X2)),mult(ld(X,ld(X2,X2)),mult(ld(X2,X2),ld(X2,X2)))),
    inference(substitution,[status(thm)],[c27]) ).

cnf(c483,plain,
    mult(mult(ld(X2,X2),ld(X2,X2)),mult(ld(X,ld(X2,X2)),mult(ld(X2,X2),ld(X2,X2)))) = ld(rd(X,mult(ld(X2,X2),ld(X2,X2))),mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2)))),
    inference(symmetry,[status(thm)],[c482]) ).

cnf(c484,plain,
    mult(ld(X,X),mult(ld(X,X),ld(X,X))) = ld(X,X),
    inference(substitution,[status(thm)],[c217]) ).

cnf(c485,plain,
    ld(rd(X,mult(ld(X2,X2),ld(X2,X2))),mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2)))) = ld(rd(X,mult(ld(X2,X2),ld(X2,X2))),ld(X2,X2)),
    inference(congruence,[status(thm)],[c484]) ).

cnf(c486,plain,
    mult(rd(X2,mult(ld(X,X),ld(X,X))),mult(mult(ld(X,X),ld(X,X)),mult(mult(ld(X,X),ld(X,X)),mult(ld(X,X),ld(X,X))))) = mult(mult(X2,mult(ld(X,X),ld(X,X))),mult(ld(X,X),ld(X,X))),
    inference(substitution,[status(thm)],[c21]) ).

cnf(c487,plain,
    mult(mult(X2,mult(ld(X,X),ld(X,X))),mult(ld(X,X),ld(X,X))) = mult(rd(X2,mult(ld(X,X),ld(X,X))),mult(mult(ld(X,X),ld(X,X)),mult(mult(ld(X,X),ld(X,X)),mult(ld(X,X),ld(X,X))))),
    inference(symmetry,[status(thm)],[c486]) ).

cnf(c488,plain,
    mult(mult(ld(X2,X),mult(ld(X,X2),ld(X2,X))),ld(X,X2)) = mult(mult(ld(X2,X),ld(X2,X)),mult(ld(X,X2),ld(X,X2))),
    inference(substitution,[status(thm)],[c360]) ).

cnf(c489,plain,
    mult(mult(ld(X2,X),ld(X2,X)),mult(ld(X,X2),ld(X,X2))) = mult(mult(ld(X2,X),mult(ld(X,X2),ld(X2,X))),ld(X,X2)),
    inference(symmetry,[status(thm)],[c488]) ).

cnf(c490,plain,
    mult(mult(ld(X2,X),mult(ld(X,X2),ld(X2,X))),ld(X,X2)) = mult(ld(X2,X),ld(X,X2)),
    inference(congruence,[status(thm)],[c217]) ).

cnf(c491,plain,
    mult(mult(ld(X2,X),ld(X2,X)),mult(ld(X,X2),ld(X,X2))) = mult(ld(X2,X),ld(X,X2)),
    inference(transitivity,[status(thm)],[c489,c490]) ).

cnf(c492,plain,
    mult(mult(ld(X,X),ld(X,X)),mult(ld(X,X),ld(X,X))) = mult(ld(X,X),ld(X,X)),
    inference(substitution,[status(thm)],[c491]) ).

cnf(c493,plain,
    mult(mult(ld(X,X),ld(X,X)),mult(mult(ld(X,X),ld(X,X)),mult(ld(X,X),ld(X,X)))) = mult(mult(ld(X,X),ld(X,X)),mult(ld(X,X),ld(X,X))),
    inference(congruence,[status(thm)],[c492]) ).

cnf(c494,plain,
    mult(rd(X2,mult(ld(X,X),ld(X,X))),mult(mult(ld(X,X),ld(X,X)),mult(mult(ld(X,X),ld(X,X)),mult(ld(X,X),ld(X,X))))) = mult(rd(X2,mult(ld(X,X),ld(X,X))),mult(mult(ld(X,X),ld(X,X)),mult(ld(X,X),ld(X,X)))),
    inference(congruence,[status(thm)],[c493]) ).

cnf(c495,plain,
    mult(mult(ld(X,X),ld(X,X)),mult(ld(X,X),ld(X,X))) = mult(ld(X,X),ld(X,X)),
    inference(substitution,[status(thm)],[c491]) ).

cnf(c496,plain,
    mult(rd(X2,mult(ld(X,X),ld(X,X))),mult(mult(ld(X,X),ld(X,X)),mult(ld(X,X),ld(X,X)))) = mult(rd(X2,mult(ld(X,X),ld(X,X))),mult(ld(X,X),ld(X,X))),
    inference(congruence,[status(thm)],[c495]) ).

cnf(c497,plain,
    mult(rd(X2,mult(ld(X,X),ld(X,X))),mult(ld(X,X),ld(X,X))) = X2,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c498,plain,
    mult(rd(X2,mult(ld(X,X),ld(X,X))),mult(mult(ld(X,X),ld(X,X)),mult(ld(X,X),ld(X,X)))) = X2,
    inference(transitivity,[status(thm)],[c496,c497]) ).

cnf(c499,plain,
    mult(rd(X2,mult(ld(X,X),ld(X,X))),mult(mult(ld(X,X),ld(X,X)),mult(mult(ld(X,X),ld(X,X)),mult(ld(X,X),ld(X,X))))) = X2,
    inference(transitivity,[status(thm)],[c494,c498]) ).

cnf(c500,plain,
    mult(mult(X2,mult(ld(X,X),ld(X,X))),mult(ld(X,X),ld(X,X))) = X2,
    inference(transitivity,[status(thm)],[c487,c499]) ).

cnf(c501,plain,
    mult(mult(rd(X2,mult(ld(X,X),ld(X,X))),mult(ld(X,X),ld(X,X))),mult(ld(X,X),ld(X,X))) = rd(X2,mult(ld(X,X),ld(X,X))),
    inference(substitution,[status(thm)],[c500]) ).

cnf(c502,plain,
    rd(X2,mult(ld(X,X),ld(X,X))) = mult(mult(rd(X2,mult(ld(X,X),ld(X,X))),mult(ld(X,X),ld(X,X))),mult(ld(X,X),ld(X,X))),
    inference(symmetry,[status(thm)],[c501]) ).

cnf(c503,plain,
    mult(rd(X2,mult(ld(X,X),ld(X,X))),mult(ld(X,X),ld(X,X))) = X2,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c504,plain,
    mult(mult(rd(X2,mult(ld(X,X),ld(X,X))),mult(ld(X,X),ld(X,X))),mult(ld(X,X),ld(X,X))) = mult(X2,mult(ld(X,X),ld(X,X))),
    inference(congruence,[status(thm)],[c503]) ).

cnf(c505,plain,
    rd(X2,mult(ld(X,X),ld(X,X))) = mult(X2,mult(ld(X,X),ld(X,X))),
    inference(transitivity,[status(thm)],[c502,c504]) ).

cnf(c506,plain,
    rd(X,mult(ld(X2,X2),ld(X2,X2))) = mult(X,mult(ld(X2,X2),ld(X2,X2))),
    inference(substitution,[status(thm)],[c505]) ).

cnf(c507,plain,
    ld(rd(X,mult(ld(X2,X2),ld(X2,X2))),ld(X2,X2)) = ld(mult(X,mult(ld(X2,X2),ld(X2,X2))),ld(X2,X2)),
    inference(congruence,[status(thm)],[c506]) ).

cnf(c508,plain,
    mult(X,mult(ld(X2,X2),ld(X2,X2))) = mult(X,ld(X2,X2)),
    inference(congruence,[status(thm)],[c204]) ).

cnf(c509,plain,
    ld(mult(X,mult(ld(X2,X2),ld(X2,X2))),ld(X2,X2)) = ld(mult(X,ld(X2,X2)),ld(X2,X2)),
    inference(congruence,[status(thm)],[c508]) ).

cnf(c510,plain,
    ld(rd(X,mult(ld(X2,X2),ld(X2,X2))),ld(X2,X2)) = ld(mult(X,ld(X2,X2)),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c507,c509]) ).

cnf(c511,plain,
    ld(rd(X,mult(ld(X2,X2),ld(X2,X2))),mult(ld(X2,X2),mult(ld(X2,X2),ld(X2,X2)))) = ld(mult(X,ld(X2,X2)),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c485,c510]) ).

cnf(c512,plain,
    mult(mult(ld(X2,X2),ld(X2,X2)),mult(ld(X,ld(X2,X2)),mult(ld(X2,X2),ld(X2,X2)))) = ld(mult(X,ld(X2,X2)),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c483,c511]) ).

cnf(c513,plain,
    mult(mult(ld(X2,X2),ld(X2,X2)),mult(ld(X,ld(X2,X2)),ld(X2,X2))) = ld(mult(X,ld(X2,X2)),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c481,c512]) ).

cnf(c514,plain,
    mult(ld(X2,X2),mult(ld(X,ld(X2,X2)),ld(X2,X2))) = ld(mult(X,ld(X2,X2)),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c478,c513]) ).

cnf(c515,plain,
    mult(ld(X2,X2),mult(ld(rd(ld(X2,X2),X),ld(X2,X2)),ld(X2,X2))) = ld(mult(rd(ld(X2,X2),X),ld(X2,X2)),ld(X2,X2)),
    inference(substitution,[status(thm)],[c514]) ).

cnf(c516,plain,
    ld(mult(rd(ld(X2,X2),X),ld(X2,X2)),ld(X2,X2)) = mult(ld(X2,X2),mult(ld(rd(ld(X2,X2),X),ld(X2,X2)),ld(X2,X2))),
    inference(symmetry,[status(thm)],[c515]) ).

cnf(c517,plain,
    ld(rd(ld(X2,X2),X),ld(X2,X2)) = X,
    inference(substitution,[status(thm)],[c80]) ).

cnf(c518,plain,
    mult(ld(rd(ld(X2,X2),X),ld(X2,X2)),ld(X2,X2)) = mult(X,ld(X2,X2)),
    inference(congruence,[status(thm)],[c517]) ).

cnf(c519,plain,
    mult(ld(X2,X2),mult(ld(rd(ld(X2,X2),X),ld(X2,X2)),ld(X2,X2))) = mult(ld(X2,X2),mult(X,ld(X2,X2))),
    inference(congruence,[status(thm)],[c518]) ).

cnf(c520,plain,
    ld(mult(rd(ld(X2,X2),X),ld(X2,X2)),ld(X2,X2)) = mult(ld(X2,X2),mult(X,ld(X2,X2))),
    inference(transitivity,[status(thm)],[c516,c519]) ).

cnf(c521,plain,
    mult(ld(X2,X2),mult(X,ld(X2,X2))) = ld(mult(rd(ld(X2,X2),X),ld(X2,X2)),ld(X2,X2)),
    inference(symmetry,[status(thm)],[c520]) ).

cnf(c522,plain,
    rd(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2)))) = rd(ld(X2,X2),ld(mult(rd(ld(X2,X2),X),ld(X2,X2)),ld(X2,X2))),
    inference(congruence,[status(thm)],[c521]) ).

cnf(c523,plain,
    rd(ld(X2,X2),ld(mult(rd(ld(X2,X2),X),ld(X2,X2)),ld(X2,X2))) = mult(rd(ld(X2,X2),X),ld(X2,X2)),
    inference(substitution,[status(thm)],[c48]) ).

cnf(c524,plain,
    rd(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2)))) = mult(rd(ld(X2,X2),X),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c522,c523]) ).

cnf(c525,plain,
    rd(ld(X2,X2),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2)))) = mult(rd(ld(X2,X2),ld(ld(X2,X2),X)),ld(X2,X2)),
    inference(substitution,[status(thm)],[c524]) ).

cnf(c526,plain,
    mult(rd(ld(X2,X2),ld(ld(X2,X2),X)),ld(X2,X2)) = rd(ld(X2,X2),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2)))),
    inference(symmetry,[status(thm)],[c525]) ).

cnf(c527,plain,
    mult(ld(ld(X2,X2),X),ld(X2,X2)) = mult(ld(X2,X2),mult(X,ld(X2,X2))),
    inference(substitution,[status(thm)],[c324]) ).

cnf(c528,plain,
    mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2))) = mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2)))),
    inference(congruence,[status(thm)],[c527]) ).

cnf(c529,plain,
    rd(ld(X2,X2),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2)))) = rd(ld(X2,X2),mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2))))),
    inference(congruence,[status(thm)],[c528]) ).

cnf(c530,plain,
    mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2)))) = ld(ld(X2,X2),mult(X,ld(X2,X2))),
    inference(substitution,[status(thm)],[c297]) ).

cnf(c531,plain,
    rd(ld(X2,X2),mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2))))) = rd(ld(X2,X2),ld(ld(X2,X2),mult(X,ld(X2,X2)))),
    inference(congruence,[status(thm)],[c530]) ).

cnf(c532,plain,
    rd(ld(X2,X2),ld(ld(X2,X2),mult(X,ld(X2,X2)))) = mult(ld(X2,X2),ld(mult(X,ld(X2,X2)),ld(X2,X2))),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c533,plain,
    rd(ld(X2,X2),mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2))))) = mult(ld(X2,X2),ld(mult(X,ld(X2,X2)),ld(X2,X2))),
    inference(transitivity,[status(thm)],[c531,c532]) ).

cnf(c534,plain,
    rd(ld(X2,X2),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2)))) = mult(ld(X2,X2),ld(mult(X,ld(X2,X2)),ld(X2,X2))),
    inference(transitivity,[status(thm)],[c529,c533]) ).

cnf(c535,plain,
    mult(rd(ld(X2,X2),ld(ld(X2,X2),X)),ld(X2,X2)) = mult(ld(X2,X2),ld(mult(X,ld(X2,X2)),ld(X2,X2))),
    inference(transitivity,[status(thm)],[c526,c534]) ).

cnf(c536,plain,
    mult(mult(ld(X2,X2),ld(X,ld(X2,X2))),ld(X2,X2)) = mult(ld(X2,X2),ld(mult(X,ld(X2,X2)),ld(X2,X2))),
    inference(transitivity,[status(thm)],[c476,c535]) ).

cnf(c537,plain,
    mult(mult(ld(X2,X2),ld(mult(X,ld(X2,X2)),ld(X2,X2))),ld(X2,X2)) = mult(ld(X2,X2),ld(mult(mult(X,ld(X2,X2)),ld(X2,X2)),ld(X2,X2))),
    inference(substitution,[status(thm)],[c536]) ).

cnf(c538,plain,
    ld(mult(mult(ld(X2,X2),ld(mult(X,ld(X2,X2)),ld(X2,X2))),ld(X2,X2)),X) = ld(mult(ld(X2,X2),ld(mult(mult(X,ld(X2,X2)),ld(X2,X2)),ld(X2,X2))),X),
    inference(congruence,[status(thm)],[c537]) ).

cnf(c539,plain,
    mult(ld(mult(mult(ld(X2,X2),ld(mult(X,ld(X2,X2)),ld(X2,X2))),ld(X2,X2)),X),ld(X2,X2)) = mult(ld(mult(ld(X2,X2),ld(mult(mult(X,ld(X2,X2)),ld(X2,X2)),ld(X2,X2))),X),ld(X2,X2)),
    inference(congruence,[status(thm)],[c538]) ).

cnf(c540,plain,
    mult(mult(X,ld(X2,X2)),ld(X2,X2)) = X,
    inference(substitution,[status(thm)],[c222]) ).

cnf(c541,plain,
    ld(mult(mult(X,ld(X2,X2)),ld(X2,X2)),ld(X2,X2)) = ld(X,ld(X2,X2)),
    inference(congruence,[status(thm)],[c540]) ).

cnf(c542,plain,
    mult(ld(X2,X2),ld(mult(mult(X,ld(X2,X2)),ld(X2,X2)),ld(X2,X2))) = mult(ld(X2,X2),ld(X,ld(X2,X2))),
    inference(congruence,[status(thm)],[c541]) ).

cnf(c543,plain,
    ld(mult(ld(X2,X2),ld(mult(mult(X,ld(X2,X2)),ld(X2,X2)),ld(X2,X2))),X) = ld(mult(ld(X2,X2),ld(X,ld(X2,X2))),X),
    inference(congruence,[status(thm)],[c542]) ).

cnf(c544,plain,
    mult(ld(mult(ld(X2,X2),ld(mult(mult(X,ld(X2,X2)),ld(X2,X2)),ld(X2,X2))),X),ld(X2,X2)) = mult(ld(mult(ld(X2,X2),ld(X,ld(X2,X2))),X),ld(X2,X2)),
    inference(congruence,[status(thm)],[c543]) ).

cnf(c545,plain,
    mult(ld(mult(ld(X2,X2),ld(X,ld(X2,X2))),X),ld(X2,X2)) = mult(mult(ld(ld(X2,X2),X),X),ld(X2,X2)),
    inference(congruence,[status(thm)],[c447]) ).

cnf(c546,plain,
    mult(ld(mult(ld(X2,X2),ld(mult(mult(X,ld(X2,X2)),ld(X2,X2)),ld(X2,X2))),X),ld(X2,X2)) = mult(mult(ld(ld(X2,X2),X),X),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c544,c545]) ).

cnf(c547,plain,
    mult(ld(mult(mult(ld(X2,X2),ld(mult(X,ld(X2,X2)),ld(X2,X2))),ld(X2,X2)),X),ld(X2,X2)) = mult(mult(ld(ld(X2,X2),X),X),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c539,c546]) ).

cnf(c548,plain,
    ld(ld(X2,X2),ld(mult(ld(X2,X2),ld(mult(X,ld(X2,X2)),ld(X2,X2))),mult(X,ld(X2,X2)))) = mult(mult(ld(ld(X2,X2),X),X),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c473,c547]) ).

cnf(c549,plain,
    ld(ld(X2,X2),mult(ld(ld(X2,X2),mult(X,ld(X2,X2))),mult(X,ld(X2,X2)))) = mult(mult(ld(ld(X2,X2),X),X),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c450,c548]) ).

cnf(c550,plain,
    mult(mult(ld(X2,X2),mult(X,ld(X2,X2))),mult(ld(X2,X2),mult(X,ld(X2,X2)))) = mult(mult(ld(ld(X2,X2),X),X),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c412,c549]) ).

cnf(c551,plain,
    mult(mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2))),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2)))) = mult(mult(ld(ld(X2,X2),ld(ld(X2,X2),X)),ld(ld(X2,X2),X)),ld(X2,X2)),
    inference(substitution,[status(thm)],[c550]) ).

cnf(c552,plain,
    mult(mult(ld(X2,X3),ld(X2,X3)),mult(ld(X3,X2),ld(ld(X3,X2),X))) = ld(ld(X3,X2),ld(ld(X3,X2),X)),
    inference(substitution,[status(thm)],[c295]) ).

cnf(c553,plain,
    ld(ld(X3,X2),ld(ld(X3,X2),X)) = mult(mult(ld(X2,X3),ld(X2,X3)),mult(ld(X3,X2),ld(ld(X3,X2),X))),
    inference(symmetry,[status(thm)],[c552]) ).

cnf(c554,plain,
    mult(ld(X3,X2),ld(ld(X3,X2),X)) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c555,plain,
    mult(mult(ld(X2,X3),ld(X2,X3)),mult(ld(X3,X2),ld(ld(X3,X2),X))) = mult(mult(ld(X2,X3),ld(X2,X3)),X),
    inference(congruence,[status(thm)],[c554]) ).

cnf(c556,plain,
    ld(ld(X3,X2),ld(ld(X3,X2),X)) = mult(mult(ld(X2,X3),ld(X2,X3)),X),
    inference(transitivity,[status(thm)],[c553,c555]) ).

cnf(c557,plain,
    ld(ld(X2,X2),ld(ld(X2,X2),X)) = mult(mult(ld(X2,X2),ld(X2,X2)),X),
    inference(substitution,[status(thm)],[c556]) ).

cnf(c558,plain,
    mult(ld(ld(X2,X2),ld(ld(X2,X2),X)),ld(ld(X2,X2),X)) = mult(mult(mult(ld(X2,X2),ld(X2,X2)),X),ld(ld(X2,X2),X)),
    inference(congruence,[status(thm)],[c557]) ).

cnf(c559,plain,
    mult(mult(ld(ld(X2,X2),ld(ld(X2,X2),X)),ld(ld(X2,X2),X)),ld(X2,X2)) = mult(mult(mult(mult(ld(X2,X2),ld(X2,X2)),X),ld(ld(X2,X2),X)),ld(X2,X2)),
    inference(congruence,[status(thm)],[c558]) ).

cnf(c560,plain,
    mult(mult(ld(X2,X2),ld(X2,X2)),X) = mult(ld(X2,X2),X),
    inference(congruence,[status(thm)],[c204]) ).

cnf(c561,plain,
    mult(mult(mult(ld(X2,X2),ld(X2,X2)),X),ld(ld(X2,X2),X)) = mult(mult(ld(X2,X2),X),ld(ld(X2,X2),X)),
    inference(congruence,[status(thm)],[c560]) ).

cnf(c562,plain,
    mult(mult(mult(mult(ld(X2,X2),ld(X2,X2)),X),ld(ld(X2,X2),X)),ld(X2,X2)) = mult(mult(mult(ld(X2,X2),X),ld(ld(X2,X2),X)),ld(X2,X2)),
    inference(congruence,[status(thm)],[c561]) ).

cnf(c563,plain,
    ld(X,X) = mult(ld(X,X),ld(X,X)),
    inference(symmetry,[status(thm)],[c204]) ).

cnf(c564,plain,
    mult(ld(X2,X2),X) = mult(mult(ld(X2,X2),ld(X2,X2)),X),
    inference(congruence,[status(thm)],[c563]) ).

cnf(c565,plain,
    mult(mult(ld(X2,X2),X),ld(ld(X2,X2),X)) = mult(mult(mult(ld(X2,X2),ld(X2,X2)),X),ld(ld(X2,X2),X)),
    inference(congruence,[status(thm)],[c564]) ).

cnf(c566,plain,
    ld(ld(X2,X2),ld(ld(X2,X2),X)) = mult(mult(ld(X2,X2),ld(X2,X2)),X),
    inference(substitution,[status(thm)],[c556]) ).

cnf(c567,plain,
    mult(mult(ld(X2,X2),ld(X2,X2)),X) = ld(ld(X2,X2),ld(ld(X2,X2),X)),
    inference(symmetry,[status(thm)],[c566]) ).

cnf(c568,plain,
    mult(mult(mult(ld(X2,X2),ld(X2,X2)),X),ld(ld(X2,X2),X)) = mult(ld(ld(X2,X2),ld(ld(X2,X2),X)),ld(ld(X2,X2),X)),
    inference(congruence,[status(thm)],[c567]) ).

cnf(c569,plain,
    mult(mult(ld(X2,X2),X),mult(ld(X2,X2),X)) = ld(ld(X2,X2),mult(ld(ld(X2,X2),X),X)),
    inference(symmetry,[status(thm)],[c410]) ).

cnf(c570,plain,
    mult(ld(X2,X2),mult(mult(ld(X2,X2),X),mult(ld(X2,X2),X))) = mult(ld(X2,X2),ld(ld(X2,X2),mult(ld(ld(X2,X2),X),X))),
    inference(congruence,[status(thm)],[c569]) ).

cnf(c571,plain,
    mult(ld(X2,X2),ld(ld(X2,X2),mult(ld(ld(X2,X2),X),X))) = mult(ld(ld(X2,X2),X),X),
    inference(substitution,[status(thm)],[c10]) ).

cnf(c572,plain,
    mult(ld(X2,X2),mult(mult(ld(X2,X2),X),mult(ld(X2,X2),X))) = mult(ld(ld(X2,X2),X),X),
    inference(transitivity,[status(thm)],[c570,c571]) ).

cnf(c573,plain,
    mult(ld(X2,X2),mult(mult(ld(X2,X2),ld(ld(X2,X2),X)),mult(ld(X2,X2),ld(ld(X2,X2),X)))) = mult(ld(ld(X2,X2),ld(ld(X2,X2),X)),ld(ld(X2,X2),X)),
    inference(substitution,[status(thm)],[c572]) ).

cnf(c574,plain,
    mult(ld(ld(X2,X2),ld(ld(X2,X2),X)),ld(ld(X2,X2),X)) = mult(ld(X2,X2),mult(mult(ld(X2,X2),ld(ld(X2,X2),X)),mult(ld(X2,X2),ld(ld(X2,X2),X)))),
    inference(symmetry,[status(thm)],[c573]) ).

cnf(c575,plain,
    mult(ld(X2,X2),ld(ld(X2,X2),X)) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c576,plain,
    mult(mult(ld(X2,X2),ld(ld(X2,X2),X)),mult(ld(X2,X2),ld(ld(X2,X2),X))) = mult(X,mult(ld(X2,X2),ld(ld(X2,X2),X))),
    inference(congruence,[status(thm)],[c575]) ).

cnf(c577,plain,
    mult(ld(X2,X2),mult(mult(ld(X2,X2),ld(ld(X2,X2),X)),mult(ld(X2,X2),ld(ld(X2,X2),X)))) = mult(ld(X2,X2),mult(X,mult(ld(X2,X2),ld(ld(X2,X2),X)))),
    inference(congruence,[status(thm)],[c576]) ).

cnf(c578,plain,
    mult(ld(X2,X2),ld(ld(X2,X2),X)) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c579,plain,
    mult(X,mult(ld(X2,X2),ld(ld(X2,X2),X))) = mult(X,X),
    inference(congruence,[status(thm)],[c578]) ).

cnf(c580,plain,
    mult(ld(X2,X2),mult(X,mult(ld(X2,X2),ld(ld(X2,X2),X)))) = mult(ld(X2,X2),mult(X,X)),
    inference(congruence,[status(thm)],[c579]) ).

cnf(c581,plain,
    mult(ld(X2,X2),mult(mult(ld(X2,X2),ld(ld(X2,X2),X)),mult(ld(X2,X2),ld(ld(X2,X2),X)))) = mult(ld(X2,X2),mult(X,X)),
    inference(transitivity,[status(thm)],[c577,c580]) ).

cnf(c582,plain,
    mult(ld(ld(X2,X2),ld(ld(X2,X2),X)),ld(ld(X2,X2),X)) = mult(ld(X2,X2),mult(X,X)),
    inference(transitivity,[status(thm)],[c574,c581]) ).

cnf(c583,plain,
    mult(mult(mult(ld(X2,X2),ld(X2,X2)),X),ld(ld(X2,X2),X)) = mult(ld(X2,X2),mult(X,X)),
    inference(transitivity,[status(thm)],[c568,c582]) ).

cnf(c584,plain,
    mult(mult(ld(X2,X2),X),ld(ld(X2,X2),X)) = mult(ld(X2,X2),mult(X,X)),
    inference(transitivity,[status(thm)],[c565,c583]) ).

cnf(c585,plain,
    mult(mult(mult(ld(X2,X2),X),ld(ld(X2,X2),X)),ld(X2,X2)) = mult(mult(ld(X2,X2),mult(X,X)),ld(X2,X2)),
    inference(congruence,[status(thm)],[c584]) ).

cnf(c586,plain,
    mult(mult(mult(mult(ld(X2,X2),ld(X2,X2)),X),ld(ld(X2,X2),X)),ld(X2,X2)) = mult(mult(ld(X2,X2),mult(X,X)),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c562,c585]) ).

cnf(c587,plain,
    mult(mult(ld(ld(X2,X2),ld(ld(X2,X2),X)),ld(ld(X2,X2),X)),ld(X2,X2)) = mult(mult(ld(X2,X2),mult(X,X)),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c559,c586]) ).

cnf(c588,plain,
    mult(mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2))),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2)))) = mult(mult(ld(X2,X2),mult(X,X)),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c551,c587]) ).

cnf(c589,plain,
    mult(mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2)))),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2)))) = mult(mult(ld(X2,X2),mult(X,X)),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c338,c588]) ).

cnf(c590,plain,
    mult(ld(ld(X2,X2),mult(X,ld(X2,X2))),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2)))) = mult(mult(ld(X2,X2),mult(X,X)),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c334,c589]) ).

cnf(c591,plain,
    mult(mult(mult(ld(X2,X2),X),ld(X2,X2)),mult(ld(X2,X2),mult(ld(ld(X2,X2),X),ld(X2,X2)))) = mult(mult(ld(X2,X2),mult(X,X)),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c331,c590]) ).

cnf(c592,plain,
    mult(mult(mult(ld(X2,X2),X),ld(X2,X2)),mult(ld(X2,X2),mult(ld(X2,X2),mult(X,ld(X2,X2))))) = mult(mult(ld(X2,X2),mult(X,X)),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c328,c591]) ).

cnf(c593,plain,
    mult(mult(mult(ld(X2,X2),X),ld(X2,X2)),ld(ld(X2,X2),mult(X,ld(X2,X2)))) = mult(mult(ld(X2,X2),mult(X,X)),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c300,c592]) ).

cnf(c594,plain,
    mult(mult(mult(ld(X2,X2),X),ld(X2,X2)),mult(mult(ld(X2,X2),X),ld(X2,X2))) = mult(mult(ld(X2,X2),mult(X,X)),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c275,c593]) ).

cnf(c595,plain,
    mult(mult(mult(ld(X3,X3),ld(X,rd(X,X2))),ld(X3,X3)),mult(mult(ld(X3,X3),ld(X,rd(X,X2))),ld(X3,X3))) = mult(mult(ld(X3,X3),mult(ld(X,rd(X,X2)),ld(X,rd(X,X2)))),ld(X3,X3)),
    inference(substitution,[status(thm)],[c594]) ).

cnf(c596,plain,
    mult(ld(X,rd(X,X2)),ld(X,rd(X,X2))) = rd(ld(X,rd(X,X2)),X2),
    inference(substitution,[status(thm)],[c65]) ).

cnf(c597,plain,
    mult(ld(X3,X3),mult(ld(X,rd(X,X2)),ld(X,rd(X,X2)))) = mult(ld(X3,X3),rd(ld(X,rd(X,X2)),X2)),
    inference(congruence,[status(thm)],[c596]) ).

cnf(c598,plain,
    mult(mult(ld(X3,X3),mult(ld(X,rd(X,X2)),ld(X,rd(X,X2)))),ld(X3,X3)) = mult(mult(ld(X3,X3),rd(ld(X,rd(X,X2)),X2)),ld(X3,X3)),
    inference(congruence,[status(thm)],[c597]) ).

cnf(c599,plain,
    ld(mult(ld(X,X),X),ld(X,X)) = ld(X2,rd(X2,X)),
    inference(substitution,[status(thm)],[c59]) ).

cnf(c600,plain,
    ld(X2,rd(X2,X)) = ld(mult(ld(X,X),X),ld(X,X)),
    inference(symmetry,[status(thm)],[c599]) ).

cnf(c601,plain,
    ld(mult(ld(X,X),X),ld(X,X)) = ld(X,ld(X,X)),
    inference(congruence,[status(thm)],[c142]) ).

cnf(c602,plain,
    ld(X2,rd(X2,X)) = ld(X,ld(X,X)),
    inference(transitivity,[status(thm)],[c600,c601]) ).

cnf(c603,plain,
    rd(ld(X2,rd(X2,X)),X) = rd(ld(X,ld(X,X)),X),
    inference(congruence,[status(thm)],[c602]) ).

cnf(c604,plain,
    rd(ld(X,ld(X,X)),X) = ld(mult(X,X),rd(X,X)),
    inference(substitution,[status(thm)],[c117]) ).

cnf(c605,plain,
    ld(mult(X,X),rd(X,X)) = ld(mult(X,X),ld(X,X)),
    inference(congruence,[status(thm)],[c146]) ).

cnf(c606,plain,
    ld(X,X) = rd(X,X),
    inference(symmetry,[status(thm)],[c146]) ).

cnf(c607,plain,
    mult(ld(X,X),mult(X,X)) = mult(rd(X,X),mult(X,X)),
    inference(congruence,[status(thm)],[c606]) ).

cnf(c608,plain,
    ld(rd(X,X2),X) = X2,
    inference(substitution,[status(thm)],[c80]) ).

cnf(c609,plain,
    X2 = ld(rd(X,X2),X),
    inference(symmetry,[status(thm)],[c608]) ).

cnf(c610,plain,
    mult(mult(X3,ld(X2,X2)),X2) = mult(mult(X3,ld(X2,X2)),ld(rd(X,X2),X)),
    inference(congruence,[status(thm)],[c609]) ).

cnf(c611,plain,
    rd(mult(X3,ld(X2,X2)),ld(X,rd(X,X2))) = mult(mult(X3,ld(X2,X2)),ld(rd(X,X2),X)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c612,plain,
    mult(mult(X3,ld(X2,X2)),ld(rd(X,X2),X)) = rd(mult(X3,ld(X2,X2)),ld(X,rd(X,X2))),
    inference(symmetry,[status(thm)],[c611]) ).

cnf(c613,plain,
    mult(mult(X3,ld(X,rd(X,X2))),rd(ld(ld(X,rd(X,X2)),ld(X2,X2)),ld(X,rd(X,X2)))) = rd(mult(X3,ld(X2,X2)),ld(X,rd(X,X2))),
    inference(substitution,[status(thm)],[c107]) ).

cnf(c614,plain,
    rd(mult(X3,ld(X2,X2)),ld(X,rd(X,X2))) = mult(mult(X3,ld(X,rd(X,X2))),rd(ld(ld(X,rd(X,X2)),ld(X2,X2)),ld(X,rd(X,X2)))),
    inference(symmetry,[status(thm)],[c613]) ).

cnf(c615,plain,
    ld(ld(X,rd(X,X2)),ld(X2,X2)) = X2,
    inference(substitution,[status(thm)],[c123]) ).

cnf(c616,plain,
    rd(ld(ld(X,rd(X,X2)),ld(X2,X2)),ld(X,rd(X,X2))) = rd(X2,ld(X,rd(X,X2))),
    inference(congruence,[status(thm)],[c615]) ).

cnf(c617,plain,
    mult(mult(X3,ld(X,rd(X,X2))),rd(ld(ld(X,rd(X,X2)),ld(X2,X2)),ld(X,rd(X,X2)))) = mult(mult(X3,ld(X,rd(X,X2))),rd(X2,ld(X,rd(X,X2)))),
    inference(congruence,[status(thm)],[c616]) ).

cnf(c618,plain,
    mult(X3,ld(X,rd(X,X2))) = rd(X3,X2),
    inference(substitution,[status(thm)],[c65]) ).

cnf(c619,plain,
    mult(mult(X3,ld(X,rd(X,X2))),rd(X2,ld(X,rd(X,X2)))) = mult(rd(X3,X2),rd(X2,ld(X,rd(X,X2)))),
    inference(congruence,[status(thm)],[c618]) ).

cnf(c620,plain,
    rd(X2,ld(X,rd(X,X2))) = mult(X2,ld(rd(X,X2),X)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c621,plain,
    mult(rd(X3,X2),rd(X2,ld(X,rd(X,X2)))) = mult(rd(X3,X2),mult(X2,ld(rd(X,X2),X))),
    inference(congruence,[status(thm)],[c620]) ).

cnf(c622,plain,
    ld(rd(X,X2),X) = X2,
    inference(substitution,[status(thm)],[c80]) ).

cnf(c623,plain,
    mult(X2,ld(rd(X,X2),X)) = mult(X2,X2),
    inference(congruence,[status(thm)],[c622]) ).

cnf(c624,plain,
    mult(rd(X3,X2),mult(X2,ld(rd(X,X2),X))) = mult(rd(X3,X2),mult(X2,X2)),
    inference(congruence,[status(thm)],[c623]) ).

cnf(c625,plain,
    mult(rd(X3,X2),rd(X2,ld(X,rd(X,X2)))) = mult(rd(X3,X2),mult(X2,X2)),
    inference(transitivity,[status(thm)],[c621,c624]) ).

cnf(c626,plain,
    mult(mult(X3,ld(X,rd(X,X2))),rd(X2,ld(X,rd(X,X2)))) = mult(rd(X3,X2),mult(X2,X2)),
    inference(transitivity,[status(thm)],[c619,c625]) ).

cnf(c627,plain,
    mult(mult(X3,ld(X,rd(X,X2))),rd(ld(ld(X,rd(X,X2)),ld(X2,X2)),ld(X,rd(X,X2)))) = mult(rd(X3,X2),mult(X2,X2)),
    inference(transitivity,[status(thm)],[c617,c626]) ).

cnf(c628,plain,
    rd(mult(X3,ld(X2,X2)),ld(X,rd(X,X2))) = mult(rd(X3,X2),mult(X2,X2)),
    inference(transitivity,[status(thm)],[c614,c627]) ).

cnf(c629,plain,
    mult(mult(X3,ld(X2,X2)),ld(rd(X,X2),X)) = mult(rd(X3,X2),mult(X2,X2)),
    inference(transitivity,[status(thm)],[c612,c628]) ).

cnf(c630,plain,
    mult(mult(X2,ld(X,X)),X) = mult(rd(X2,X),mult(X,X)),
    inference(transitivity,[status(thm)],[c610,c629]) ).

cnf(c631,plain,
    mult(mult(X,ld(X,X)),X) = mult(rd(X,X),mult(X,X)),
    inference(substitution,[status(thm)],[c630]) ).

cnf(c632,plain,
    mult(rd(X,X),mult(X,X)) = mult(mult(X,ld(X,X)),X),
    inference(symmetry,[status(thm)],[c631]) ).

cnf(c633,plain,
    mult(X,ld(X,X)) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c634,plain,
    mult(mult(X,ld(X,X)),X) = mult(X,X),
    inference(congruence,[status(thm)],[c633]) ).

cnf(c635,plain,
    mult(rd(X,X),mult(X,X)) = mult(X,X),
    inference(transitivity,[status(thm)],[c632,c634]) ).

cnf(c636,plain,
    mult(ld(X,X),mult(X,X)) = mult(X,X),
    inference(transitivity,[status(thm)],[c607,c635]) ).

cnf(c637,plain,
    mult(X,X) = mult(ld(X,X),mult(X,X)),
    inference(symmetry,[status(thm)],[c636]) ).

cnf(c638,plain,
    ld(mult(X,X),ld(X,X)) = ld(mult(ld(X,X),mult(X,X)),ld(X,X)),
    inference(congruence,[status(thm)],[c637]) ).

cnf(c639,plain,
    ld(mult(ld(X2,X2),mult(X2,X2)),ld(X2,X2)) = ld(X,rd(X,mult(X2,X2))),
    inference(substitution,[status(thm)],[c59]) ).

cnf(c640,plain,
    ld(mult(X2,X2),ld(X2,X2)) = ld(X,rd(X,mult(X2,X2))),
    inference(transitivity,[status(thm)],[c638,c639]) ).

cnf(c641,plain,
    ld(mult(X2,X2),rd(X2,X2)) = ld(X,rd(X,mult(X2,X2))),
    inference(transitivity,[status(thm)],[c605,c640]) ).

cnf(c642,plain,
    rd(ld(X2,ld(X2,X2)),X2) = ld(X,rd(X,mult(X2,X2))),
    inference(transitivity,[status(thm)],[c604,c641]) ).

cnf(c643,plain,
    rd(ld(X3,rd(X3,X2)),X2) = ld(X,rd(X,mult(X2,X2))),
    inference(transitivity,[status(thm)],[c603,c642]) ).

cnf(c644,plain,
    rd(ld(X2,rd(X2,X3)),X3) = ld(X,rd(X,mult(X3,X3))),
    inference(substitution,[status(thm)],[c643]) ).

cnf(c645,plain,
    mult(ld(X4,X4),rd(ld(X2,rd(X2,X3)),X3)) = mult(ld(X4,X4),ld(X,rd(X,mult(X3,X3)))),
    inference(congruence,[status(thm)],[c644]) ).

cnf(c646,plain,
    mult(mult(ld(X4,X4),rd(ld(X2,rd(X2,X3)),X3)),ld(X4,X4)) = mult(mult(ld(X4,X4),ld(X,rd(X,mult(X3,X3)))),ld(X4,X4)),
    inference(congruence,[status(thm)],[c645]) ).

cnf(c647,plain,
    mult(ld(X3,X3),ld(X,rd(X,mult(X2,X2)))) = rd(ld(X3,X3),mult(X2,X2)),
    inference(substitution,[status(thm)],[c65]) ).

cnf(c648,plain,
    mult(mult(ld(X3,X3),ld(X,rd(X,mult(X2,X2)))),ld(X3,X3)) = mult(rd(ld(X3,X3),mult(X2,X2)),ld(X3,X3)),
    inference(congruence,[status(thm)],[c647]) ).

cnf(c649,plain,
    mult(mult(ld(X3,X3),rd(ld(X,rd(X,X2)),X2)),ld(X3,X3)) = mult(rd(ld(X3,X3),mult(X2,X2)),ld(X3,X3)),
    inference(transitivity,[status(thm)],[c646,c648]) ).

cnf(c650,plain,
    mult(mult(ld(X3,X3),mult(ld(X,rd(X,X2)),ld(X,rd(X,X2)))),ld(X3,X3)) = mult(rd(ld(X3,X3),mult(X2,X2)),ld(X3,X3)),
    inference(transitivity,[status(thm)],[c598,c649]) ).

cnf(c651,plain,
    mult(mult(mult(ld(X3,X3),ld(X,rd(X,X2))),ld(X3,X3)),mult(mult(ld(X3,X3),ld(X,rd(X,X2))),ld(X3,X3))) = mult(rd(ld(X3,X3),mult(X2,X2)),ld(X3,X3)),
    inference(transitivity,[status(thm)],[c595,c650]) ).

cnf(c652,plain,
    mult(mult(rd(ld(X3,X3),X2),ld(X3,X3)),mult(mult(ld(X3,X3),ld(X,rd(X,X2))),ld(X3,X3))) = mult(rd(ld(X3,X3),mult(X2,X2)),ld(X3,X3)),
    inference(transitivity,[status(thm)],[c235,c651]) ).

cnf(c653,plain,
    mult(mult(rd(ld(X2,X2),X),ld(X2,X2)),mult(rd(ld(X2,X2),X),ld(X2,X2))) = mult(rd(ld(X2,X2),mult(X,X)),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c231,c652]) ).

cnf(c654,plain,
    mult(mult(mult(rd(ld(X2,X2),X),ld(X2,X2)),mult(rd(ld(X2,X2),X),ld(X2,X2))),ld(X2,X2)) = mult(mult(rd(ld(X2,X2),mult(X,X)),ld(X2,X2)),ld(X2,X2)),
    inference(congruence,[status(thm)],[c653]) ).

cnf(c655,plain,
    mult(mult(rd(ld(X2,X2),mult(X,X)),ld(X2,X2)),ld(X2,X2)) = rd(ld(X2,X2),mult(X,X)),
    inference(substitution,[status(thm)],[c222]) ).

cnf(c656,plain,
    mult(mult(mult(rd(ld(X2,X2),X),ld(X2,X2)),mult(rd(ld(X2,X2),X),ld(X2,X2))),ld(X2,X2)) = rd(ld(X2,X2),mult(X,X)),
    inference(transitivity,[status(thm)],[c654,c655]) ).

cnf(c657,plain,
    mult(rd(ld(X2,X2),X),mult(ld(X2,X2),mult(mult(rd(ld(X2,X2),X),ld(X2,X2)),ld(X2,X2)))) = rd(ld(X2,X2),mult(X,X)),
    inference(transitivity,[status(thm)],[c227,c656]) ).

cnf(c658,plain,
    mult(rd(ld(X2,X2),X),mult(ld(X2,X2),rd(ld(X2,X2),X))) = rd(ld(X2,X2),mult(X,X)),
    inference(transitivity,[status(thm)],[c226,c657]) ).

cnf(c659,plain,
    rd(ld(X2,X2),mult(X,X)) = mult(rd(ld(X2,X2),X),mult(ld(X2,X2),rd(ld(X2,X2),X))),
    inference(symmetry,[status(thm)],[c658]) ).

cnf(c660,plain,
    rd(X3,rd(ld(X2,X2),mult(X,X))) = rd(X3,mult(rd(ld(X2,X2),X),mult(ld(X2,X2),rd(ld(X2,X2),X)))),
    inference(congruence,[status(thm)],[c659]) ).

cnf(c661,plain,
    rd(X3,ld(rd(rd(rd(X3,X2),X),X2),X3)) = rd(rd(rd(X3,X2),X),X2),
    inference(substitution,[status(thm)],[c48]) ).

cnf(c662,plain,
    rd(rd(rd(X3,X2),X),X2) = rd(X3,ld(rd(rd(rd(X3,X2),X),X2),X3)),
    inference(symmetry,[status(thm)],[c661]) ).

cnf(c663,plain,
    mult(X2,mult(ld(rd(rd(X3,X2),X),rd(X3,X2)),X2)) = ld(rd(rd(rd(X3,X2),X),X2),X3),
    inference(substitution,[status(thm)],[c463]) ).

cnf(c664,plain,
    ld(rd(rd(rd(X3,X2),X),X2),X3) = mult(X2,mult(ld(rd(rd(X3,X2),X),rd(X3,X2)),X2)),
    inference(symmetry,[status(thm)],[c663]) ).

cnf(c665,plain,
    ld(rd(rd(X3,X2),X),rd(X3,X2)) = X,
    inference(substitution,[status(thm)],[c80]) ).

cnf(c666,plain,
    mult(ld(rd(rd(X3,X2),X),rd(X3,X2)),X2) = mult(X,X2),
    inference(congruence,[status(thm)],[c665]) ).

cnf(c667,plain,
    mult(X2,mult(ld(rd(rd(X3,X2),X),rd(X3,X2)),X2)) = mult(X2,mult(X,X2)),
    inference(congruence,[status(thm)],[c666]) ).

cnf(c668,plain,
    ld(rd(rd(rd(X3,X2),X),X2),X3) = mult(X2,mult(X,X2)),
    inference(transitivity,[status(thm)],[c664,c667]) ).

cnf(c669,plain,
    rd(X3,ld(rd(rd(rd(X3,X2),X),X2),X3)) = rd(X3,mult(X2,mult(X,X2))),
    inference(congruence,[status(thm)],[c668]) ).

cnf(c670,plain,
    rd(rd(rd(X3,X2),X),X2) = rd(X3,mult(X2,mult(X,X2))),
    inference(transitivity,[status(thm)],[c662,c669]) ).

cnf(c671,plain,
    rd(rd(rd(X4,X3),ld(X2,X)),X3) = rd(X4,mult(X3,mult(ld(X2,X),X3))),
    inference(substitution,[status(thm)],[c670]) ).

cnf(c672,plain,
    rd(X4,mult(X3,mult(ld(X2,X),X3))) = rd(rd(rd(X4,X3),ld(X2,X)),X3),
    inference(symmetry,[status(thm)],[c671]) ).

cnf(c673,plain,
    rd(rd(X4,X3),ld(X2,X)) = mult(rd(X4,X3),ld(X,X2)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c674,plain,
    rd(rd(rd(X4,X3),ld(X2,X)),X3) = rd(mult(rd(X4,X3),ld(X,X2)),X3),
    inference(congruence,[status(thm)],[c673]) ).

cnf(c675,plain,
    mult(mult(rd(X3,X2),X2),rd(ld(X2,X),X2)) = rd(mult(rd(X3,X2),X),X2),
    inference(substitution,[status(thm)],[c107]) ).

cnf(c676,plain,
    rd(mult(rd(X3,X2),X),X2) = mult(mult(rd(X3,X2),X2),rd(ld(X2,X),X2)),
    inference(symmetry,[status(thm)],[c675]) ).

cnf(c677,plain,
    mult(rd(X2,X),X) = X2,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c678,plain,
    mult(mult(rd(X3,X2),X2),rd(ld(X2,X),X2)) = mult(X3,rd(ld(X2,X),X2)),
    inference(congruence,[status(thm)],[c677]) ).

cnf(c679,plain,
    rd(mult(rd(X3,X2),X),X2) = mult(X3,rd(ld(X2,X),X2)),
    inference(transitivity,[status(thm)],[c676,c678]) ).

cnf(c680,plain,
    rd(mult(rd(X4,X3),ld(X,X2)),X3) = mult(X4,rd(ld(X3,ld(X,X2)),X3)),
    inference(substitution,[status(thm)],[c679]) ).

cnf(c681,plain,
    rd(rd(rd(X4,X3),ld(X2,X)),X3) = mult(X4,rd(ld(X3,ld(X,X2)),X3)),
    inference(transitivity,[status(thm)],[c674,c680]) ).

cnf(c682,plain,
    rd(X4,mult(X3,mult(ld(X2,X),X3))) = mult(X4,rd(ld(X3,ld(X,X2)),X3)),
    inference(transitivity,[status(thm)],[c672,c681]) ).

cnf(c683,plain,
    rd(X3,mult(rd(ld(X2,X2),X),mult(ld(X2,X2),rd(ld(X2,X2),X)))) = mult(X3,rd(ld(rd(ld(X2,X2),X),ld(X2,X2)),rd(ld(X2,X2),X))),
    inference(substitution,[status(thm)],[c682]) ).

cnf(c684,plain,
    ld(rd(ld(X2,X2),X),ld(X2,X2)) = X,
    inference(substitution,[status(thm)],[c80]) ).

cnf(c685,plain,
    rd(ld(rd(ld(X2,X2),X),ld(X2,X2)),rd(ld(X2,X2),X)) = rd(X,rd(ld(X2,X2),X)),
    inference(congruence,[status(thm)],[c684]) ).

cnf(c686,plain,
    mult(X3,rd(ld(rd(ld(X2,X2),X),ld(X2,X2)),rd(ld(X2,X2),X))) = mult(X3,rd(X,rd(ld(X2,X2),X))),
    inference(congruence,[status(thm)],[c685]) ).

cnf(c687,plain,
    rd(X3,mult(rd(ld(X2,X2),X),mult(ld(X2,X2),rd(ld(X2,X2),X)))) = mult(X3,rd(X,rd(ld(X2,X2),X))),
    inference(transitivity,[status(thm)],[c683,c686]) ).

cnf(c688,plain,
    rd(X3,rd(ld(X2,X2),mult(X,X))) = mult(X3,rd(X,rd(ld(X2,X2),X))),
    inference(transitivity,[status(thm)],[c660,c687]) ).

cnf(c689,plain,
    rd(X3,rd(ld(X2,X2),mult(ld(X,X),ld(X,X)))) = mult(X3,rd(ld(X,X),rd(ld(X2,X2),ld(X,X)))),
    inference(substitution,[status(thm)],[c688]) ).

cnf(c690,plain,
    rd(ld(X2,X2),ld(X,X)) = mult(ld(X2,X2),ld(X,X)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c691,plain,
    rd(ld(X,X),rd(ld(X2,X2),ld(X,X))) = rd(ld(X,X),mult(ld(X2,X2),ld(X,X))),
    inference(congruence,[status(thm)],[c690]) ).

cnf(c692,plain,
    mult(X3,rd(ld(X,X),rd(ld(X2,X2),ld(X,X)))) = mult(X3,rd(ld(X,X),mult(ld(X2,X2),ld(X,X)))),
    inference(congruence,[status(thm)],[c691]) ).

cnf(c693,plain,
    rd(rd(X2,X),rd(X2,X)) = ld(rd(X2,X),rd(X2,X)),
    inference(substitution,[status(thm)],[c146]) ).

cnf(c694,plain,
    ld(rd(X2,X),rd(X2,X)) = rd(rd(X2,X),rd(X2,X)),
    inference(symmetry,[status(thm)],[c693]) ).

cnf(c695,plain,
    rd(ld(rd(X2,X),rd(X2,X)),X) = rd(rd(rd(X2,X),rd(X2,X)),X),
    inference(congruence,[status(thm)],[c694]) ).

cnf(c696,plain,
    rd(rd(rd(X2,X),rd(X2,X)),X) = rd(X2,mult(X,mult(rd(X2,X),X))),
    inference(substitution,[status(thm)],[c670]) ).

cnf(c697,plain,
    mult(rd(X2,X),X) = X2,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c698,plain,
    mult(X,mult(rd(X2,X),X)) = mult(X,X2),
    inference(congruence,[status(thm)],[c697]) ).

cnf(c699,plain,
    rd(X2,mult(X,mult(rd(X2,X),X))) = rd(X2,mult(X,X2)),
    inference(congruence,[status(thm)],[c698]) ).

cnf(c700,plain,
    rd(rd(rd(X2,X),rd(X2,X)),X) = rd(X2,mult(X,X2)),
    inference(transitivity,[status(thm)],[c696,c699]) ).

cnf(c701,plain,
    rd(ld(rd(X2,X),rd(X2,X)),X) = rd(X2,mult(X,X2)),
    inference(transitivity,[status(thm)],[c695,c700]) ).

cnf(c702,plain,
    rd(ld(rd(X2,ld(X,X)),rd(X2,ld(X,X))),ld(X,X)) = rd(X2,mult(ld(X,X),X2)),
    inference(substitution,[status(thm)],[c701]) ).

cnf(c703,plain,
    rd(X2,mult(ld(X,X),X2)) = rd(ld(rd(X2,ld(X,X)),rd(X2,ld(X,X))),ld(X,X)),
    inference(symmetry,[status(thm)],[c702]) ).

cnf(c704,plain,
    rd(ld(rd(X2,ld(X,X)),rd(X2,ld(X,X))),ld(X,X)) = mult(ld(rd(X2,ld(X,X)),rd(X2,ld(X,X))),ld(X,X)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c705,plain,
    rd(X2,ld(X,X)) = mult(X2,ld(X,X)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c706,plain,
    ld(rd(X2,ld(X,X)),rd(X2,ld(X,X))) = ld(mult(X2,ld(X,X)),rd(X2,ld(X,X))),
    inference(congruence,[status(thm)],[c705]) ).

cnf(c707,plain,
    mult(ld(rd(X2,ld(X,X)),rd(X2,ld(X,X))),ld(X,X)) = mult(ld(mult(X2,ld(X,X)),rd(X2,ld(X,X))),ld(X,X)),
    inference(congruence,[status(thm)],[c706]) ).

cnf(c708,plain,
    rd(X2,ld(X,X)) = mult(X2,ld(X,X)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c709,plain,
    ld(mult(X2,ld(X,X)),rd(X2,ld(X,X))) = ld(mult(X2,ld(X,X)),mult(X2,ld(X,X))),
    inference(congruence,[status(thm)],[c708]) ).

cnf(c710,plain,
    mult(ld(mult(X2,ld(X,X)),rd(X2,ld(X,X))),ld(X,X)) = mult(ld(mult(X2,ld(X,X)),mult(X2,ld(X,X))),ld(X,X)),
    inference(congruence,[status(thm)],[c709]) ).

cnf(c711,plain,
    rd(X3,ld(X,X2)) = mult(X3,ld(X2,X)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c712,plain,
    mult(X3,ld(X2,X)) = rd(X3,ld(X,X2)),
    inference(symmetry,[status(thm)],[c711]) ).

cnf(c713,plain,
    ld(mult(X4,ld(X3,X2)),mult(X,ld(X2,X3))) = ld(rd(X4,ld(X2,X3)),mult(X,ld(X2,X3))),
    inference(congruence,[status(thm)],[c712]) ).

cnf(c714,plain,
    ld(rd(X4,ld(X2,X3)),mult(X,ld(X2,X3))) = mult(ld(X2,X3),mult(ld(X4,X),ld(X2,X3))),
    inference(substitution,[status(thm)],[c27]) ).

cnf(c715,plain,
    ld(mult(X4,ld(X3,X2)),mult(X,ld(X2,X3))) = mult(ld(X2,X3),mult(ld(X4,X),ld(X2,X3))),
    inference(transitivity,[status(thm)],[c713,c714]) ).

cnf(c716,plain,
    ld(mult(X2,ld(X,X)),mult(X2,ld(X,X))) = mult(ld(X,X),mult(ld(X2,X2),ld(X,X))),
    inference(substitution,[status(thm)],[c715]) ).

cnf(c717,plain,
    mult(ld(mult(X2,ld(X,X)),mult(X2,ld(X,X))),ld(X,X)) = mult(mult(ld(X,X),mult(ld(X2,X2),ld(X,X))),ld(X,X)),
    inference(congruence,[status(thm)],[c716]) ).

cnf(c718,plain,
    mult(ld(X3,X2),mult(X,ld(X3,X2))) = ld(X3,mult(mult(X2,X),ld(X3,X2))),
    inference(symmetry,[status(thm)],[c174]) ).

cnf(c719,plain,
    mult(mult(ld(X3,X2),mult(X,ld(X3,X2))),ld(X2,X3)) = mult(ld(X3,mult(mult(X2,X),ld(X3,X2))),ld(X2,X3)),
    inference(congruence,[status(thm)],[c718]) ).

cnf(c720,plain,
    ld(ld(X,X3),ld(X,mult(mult(X2,ld(X3,X)),ld(X,X3)))) = mult(ld(X3,mult(X2,ld(X3,X))),ld(X,X3)),
    inference(substitution,[status(thm)],[c266]) ).

cnf(c721,plain,
    mult(ld(X3,mult(X2,ld(X3,X))),ld(X,X3)) = ld(ld(X,X3),ld(X,mult(mult(X2,ld(X3,X)),ld(X,X3)))),
    inference(symmetry,[status(thm)],[c720]) ).

cnf(c722,plain,
    mult(mult(X2,ld(X3,X)),ld(X,X3)) = X2,
    inference(substitution,[status(thm)],[c222]) ).

cnf(c723,plain,
    ld(X,mult(mult(X2,ld(X3,X)),ld(X,X3))) = ld(X,X2),
    inference(congruence,[status(thm)],[c722]) ).

cnf(c724,plain,
    ld(ld(X,X3),ld(X,mult(mult(X2,ld(X3,X)),ld(X,X3)))) = ld(ld(X,X3),ld(X,X2)),
    inference(congruence,[status(thm)],[c723]) ).

cnf(c725,plain,
    mult(ld(X3,mult(X2,ld(X3,X))),ld(X,X3)) = ld(ld(X,X3),ld(X,X2)),
    inference(transitivity,[status(thm)],[c721,c724]) ).

cnf(c726,plain,
    mult(ld(X3,mult(mult(X2,X),ld(X3,X2))),ld(X2,X3)) = ld(ld(X2,X3),ld(X2,mult(X2,X))),
    inference(substitution,[status(thm)],[c725]) ).

cnf(c727,plain,
    ld(X2,mult(X2,X)) = X,
    inference(substitution,[status(thm)],[c7]) ).

cnf(c728,plain,
    ld(ld(X2,X3),ld(X2,mult(X2,X))) = ld(ld(X2,X3),X),
    inference(congruence,[status(thm)],[c727]) ).

cnf(c729,plain,
    mult(ld(X3,mult(mult(X2,X),ld(X3,X2))),ld(X2,X3)) = ld(ld(X2,X3),X),
    inference(transitivity,[status(thm)],[c726,c728]) ).

cnf(c730,plain,
    mult(mult(ld(X3,X2),mult(X,ld(X3,X2))),ld(X2,X3)) = ld(ld(X2,X3),X),
    inference(transitivity,[status(thm)],[c719,c729]) ).

cnf(c731,plain,
    mult(mult(ld(X,X),mult(ld(X2,X2),ld(X,X))),ld(X,X)) = ld(ld(X,X),ld(X2,X2)),
    inference(substitution,[status(thm)],[c730]) ).

cnf(c732,plain,
    mult(ld(mult(X2,ld(X,X)),mult(X2,ld(X,X))),ld(X,X)) = ld(ld(X,X),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c717,c731]) ).

cnf(c733,plain,
    mult(ld(mult(X2,ld(X,X)),rd(X2,ld(X,X))),ld(X,X)) = ld(ld(X,X),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c710,c732]) ).

cnf(c734,plain,
    mult(ld(rd(X2,ld(X,X)),rd(X2,ld(X,X))),ld(X,X)) = ld(ld(X,X),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c707,c733]) ).

cnf(c735,plain,
    rd(ld(rd(X2,ld(X,X)),rd(X2,ld(X,X))),ld(X,X)) = ld(ld(X,X),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c704,c734]) ).

cnf(c736,plain,
    rd(X2,mult(ld(X,X),X2)) = ld(ld(X,X),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c703,c735]) ).

cnf(c737,plain,
    rd(ld(X,X),mult(ld(X2,X2),ld(X,X))) = ld(ld(X2,X2),ld(ld(X,X),ld(X,X))),
    inference(substitution,[status(thm)],[c736]) ).

cnf(c738,plain,
    mult(X3,rd(ld(X,X),mult(ld(X2,X2),ld(X,X)))) = mult(X3,ld(ld(X2,X2),ld(ld(X,X),ld(X,X)))),
    inference(congruence,[status(thm)],[c737]) ).

cnf(c739,plain,
    rd(ld(X2,X),ld(X2,X)) = ld(ld(X2,X),ld(X2,X)),
    inference(substitution,[status(thm)],[c146]) ).

cnf(c740,plain,
    ld(ld(X2,X),ld(X2,X)) = rd(ld(X2,X),ld(X2,X)),
    inference(symmetry,[status(thm)],[c739]) ).

cnf(c741,plain,
    rd(ld(X2,X),ld(X2,X)) = mult(ld(X2,X),ld(X,X2)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c742,plain,
    ld(ld(X2,X),ld(X2,X)) = mult(ld(X2,X),ld(X,X2)),
    inference(transitivity,[status(thm)],[c740,c741]) ).

cnf(c743,plain,
    ld(ld(X,X),ld(X,X)) = mult(ld(X,X),ld(X,X)),
    inference(substitution,[status(thm)],[c742]) ).

cnf(c744,plain,
    ld(ld(X2,X2),ld(ld(X,X),ld(X,X))) = ld(ld(X2,X2),mult(ld(X,X),ld(X,X))),
    inference(congruence,[status(thm)],[c743]) ).

cnf(c745,plain,
    mult(X3,ld(ld(X2,X2),ld(ld(X,X),ld(X,X)))) = mult(X3,ld(ld(X2,X2),mult(ld(X,X),ld(X,X)))),
    inference(congruence,[status(thm)],[c744]) ).

cnf(c746,plain,
    ld(ld(X2,X2),mult(ld(X,X),ld(X,X))) = ld(ld(X2,X2),ld(X,X)),
    inference(congruence,[status(thm)],[c204]) ).

cnf(c747,plain,
    mult(X3,ld(ld(X2,X2),mult(ld(X,X),ld(X,X)))) = mult(X3,ld(ld(X2,X2),ld(X,X))),
    inference(congruence,[status(thm)],[c746]) ).

cnf(c748,plain,
    mult(X3,ld(ld(X2,X2),ld(ld(X,X),ld(X,X)))) = mult(X3,ld(ld(X2,X2),ld(X,X))),
    inference(transitivity,[status(thm)],[c745,c747]) ).

cnf(c749,plain,
    mult(X3,rd(ld(X,X),mult(ld(X2,X2),ld(X,X)))) = mult(X3,ld(ld(X2,X2),ld(X,X))),
    inference(transitivity,[status(thm)],[c738,c748]) ).

cnf(c750,plain,
    mult(X3,rd(ld(X,X),rd(ld(X2,X2),ld(X,X)))) = mult(X3,ld(ld(X2,X2),ld(X,X))),
    inference(transitivity,[status(thm)],[c692,c749]) ).

cnf(c751,plain,
    rd(X3,rd(ld(X2,X2),mult(ld(X,X),ld(X,X)))) = mult(X3,ld(ld(X2,X2),ld(X,X))),
    inference(transitivity,[status(thm)],[c689,c750]) ).

cnf(c752,plain,
    rd(X3,rd(ld(X2,X2),ld(X,X))) = mult(X3,ld(ld(X2,X2),ld(X,X))),
    inference(transitivity,[status(thm)],[c207,c751]) ).

cnf(c753,plain,
    rd(X3,mult(ld(X2,X2),ld(X,X))) = mult(X3,ld(ld(X2,X2),ld(X,X))),
    inference(transitivity,[status(thm)],[c73,c752]) ).

cnf(c754,plain,
    rd(X,mult(ld(X2,X2),ld(X3,X3))) = mult(X,ld(ld(X2,X2),ld(X3,X3))),
    inference(substitution,[status(thm)],[c753]) ).

cnf(c755,plain,
    mult(X,ld(ld(X2,X2),ld(X3,X3))) = rd(X,mult(ld(X2,X2),ld(X3,X3))),
    inference(symmetry,[status(thm)],[c754]) ).

cnf(c756,plain,
    ld(mult(X,ld(ld(X2,X2),ld(X3,X3))),X) = ld(rd(X,mult(ld(X2,X2),ld(X3,X3))),X),
    inference(congruence,[status(thm)],[c755]) ).

cnf(c757,plain,
    ld(rd(X,mult(ld(X2,X2),ld(X3,X3))),X) = mult(ld(X2,X2),ld(X3,X3)),
    inference(substitution,[status(thm)],[c80]) ).

cnf(c758,plain,
    ld(mult(X,ld(ld(X2,X2),ld(X3,X3))),X) = mult(ld(X2,X2),ld(X3,X3)),
    inference(transitivity,[status(thm)],[c756,c757]) ).

cnf(c759,plain,
    ld(X,rd(X,ld(ld(X2,X2),ld(X3,X3)))) = mult(ld(X2,X2),ld(X3,X3)),
    inference(transitivity,[status(thm)],[c61,c758]) ).

cnf(c760,plain,
    ld(ld(X2,X2),ld(X,X)) = mult(ld(X,X),ld(X2,X2)),
    inference(transitivity,[status(thm)],[c53,c759]) ).

cnf(c761,plain,
    ld(ld(X,X),ld(X2,X2)) = mult(ld(X2,X2),ld(X,X)),
    inference(substitution,[status(thm)],[c760]) ).

cnf(c762,plain,
    mult(ld(X2,X2),ld(X,X)) = ld(ld(X,X),ld(X2,X2)),
    inference(symmetry,[status(thm)],[c761]) ).

cnf(c763,plain,
    ld(X,rd(X,ld(ld(X3,X3),ld(X2,X2)))) = ld(ld(X2,X2),ld(X3,X3)),
    inference(substitution,[status(thm)],[c51]) ).

cnf(c764,plain,
    ld(ld(X2,X2),ld(X3,X3)) = ld(X,rd(X,ld(ld(X3,X3),ld(X2,X2)))),
    inference(symmetry,[status(thm)],[c763]) ).

cnf(c765,plain,
    ld(rd(X,X2),X) = X2,
    inference(substitution,[status(thm)],[c80]) ).

cnf(c766,plain,
    X2 = ld(rd(X,X2),X),
    inference(symmetry,[status(thm)],[c765]) ).

cnf(c767,plain,
    mult(ld(X3,rd(X3,mult(X2,X2))),X2) = mult(ld(X3,rd(X3,mult(X2,X2))),ld(rd(X,X2),X)),
    inference(congruence,[status(thm)],[c766]) ).

cnf(c768,plain,
    ld(mult(X,X),ld(X,X)) = ld(X2,rd(X2,mult(X,X))),
    inference(substitution,[status(thm)],[c640]) ).

cnf(c769,plain,
    ld(X2,rd(X2,mult(X,X))) = ld(mult(X,X),ld(X,X)),
    inference(symmetry,[status(thm)],[c768]) ).

cnf(c770,plain,
    mult(ld(X3,rd(X3,mult(X2,X2))),ld(rd(X,X2),X)) = mult(ld(mult(X2,X2),ld(X2,X2)),ld(rd(X,X2),X)),
    inference(congruence,[status(thm)],[c769]) ).

cnf(c771,plain,
    ld(X,X) = rd(X,X),
    inference(symmetry,[status(thm)],[c146]) ).

cnf(c772,plain,
    ld(mult(X,X),ld(X,X)) = ld(mult(X,X),rd(X,X)),
    inference(congruence,[status(thm)],[c771]) ).

cnf(c773,plain,
    mult(ld(mult(X2,X2),ld(X2,X2)),ld(rd(X,X2),X)) = mult(ld(mult(X2,X2),rd(X2,X2)),ld(rd(X,X2),X)),
    inference(congruence,[status(thm)],[c772]) ).

cnf(c774,plain,
    rd(ld(X,ld(X,X)),X) = ld(mult(X,X),rd(X,X)),
    inference(substitution,[status(thm)],[c117]) ).

cnf(c775,plain,
    ld(mult(X,X),rd(X,X)) = rd(ld(X,ld(X,X)),X),
    inference(symmetry,[status(thm)],[c774]) ).

cnf(c776,plain,
    mult(ld(mult(X2,X2),rd(X2,X2)),ld(rd(X,X2),X)) = mult(rd(ld(X2,ld(X2,X2)),X2),ld(rd(X,X2),X)),
    inference(congruence,[status(thm)],[c775]) ).

cnf(c777,plain,
    rd(rd(ld(X2,ld(X2,X2)),X2),ld(X,rd(X,X2))) = mult(rd(ld(X2,ld(X2,X2)),X2),ld(rd(X,X2),X)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c778,plain,
    mult(rd(ld(X2,ld(X2,X2)),X2),ld(rd(X,X2),X)) = rd(rd(ld(X2,ld(X2,X2)),X2),ld(X,rd(X,X2))),
    inference(symmetry,[status(thm)],[c777]) ).

cnf(c779,plain,
    ld(X,rd(X,X2)) = rd(ld(X2,X2),X2),
    inference(symmetry,[status(thm)],[c195]) ).

cnf(c780,plain,
    rd(rd(ld(X2,ld(X2,X2)),X2),ld(X,rd(X,X2))) = rd(rd(ld(X2,ld(X2,X2)),X2),rd(ld(X2,X2),X2)),
    inference(congruence,[status(thm)],[c779]) ).

cnf(c781,plain,
    mult(X,ld(X3,rd(X3,X2))) = rd(X,X2),
    inference(substitution,[status(thm)],[c65]) ).

cnf(c782,plain,
    rd(X,X2) = mult(X,ld(X3,rd(X3,X2))),
    inference(symmetry,[status(thm)],[c781]) ).

cnf(c783,plain,
    mult(ld(X3,rd(X3,X2)),rd(X,X2)) = mult(ld(X3,rd(X3,X2)),mult(X,ld(X3,rd(X3,X2)))),
    inference(congruence,[status(thm)],[c782]) ).

cnf(c784,plain,
    mult(rd(X2,X),X) = X2,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c785,plain,
    X2 = mult(rd(X2,X),X),
    inference(symmetry,[status(thm)],[c784]) ).

cnf(c786,plain,
    ld(X,X3) = ld(X,mult(rd(X3,X2),X2)),
    inference(congruence,[status(thm)],[c785]) ).

cnf(c787,plain,
    mult(rd(X3,X2),ld(X,X3)) = mult(rd(X3,X2),ld(X,mult(rd(X3,X2),X2))),
    inference(congruence,[status(thm)],[c786]) ).

cnf(c788,plain,
    ld(mult(rd(X3,X2),ld(X,X3)),X) = ld(mult(rd(X3,X2),ld(X,mult(rd(X3,X2),X2))),X),
    inference(congruence,[status(thm)],[c787]) ).

cnf(c789,plain,
    mult(ld(mult(rd(X3,X2),X2),X),mult(X2,ld(mult(rd(X3,X2),X2),X))) = ld(mult(rd(X3,X2),ld(X,mult(rd(X3,X2),X2))),X),
    inference(substitution,[status(thm)],[c425]) ).

cnf(c790,plain,
    ld(mult(rd(X3,X2),ld(X,mult(rd(X3,X2),X2))),X) = mult(ld(mult(rd(X3,X2),X2),X),mult(X2,ld(mult(rd(X3,X2),X2),X))),
    inference(symmetry,[status(thm)],[c789]) ).

cnf(c791,plain,
    mult(rd(X2,X),X) = X2,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c792,plain,
    ld(mult(rd(X3,X2),X2),X) = ld(X3,X),
    inference(congruence,[status(thm)],[c791]) ).

cnf(c793,plain,
    mult(ld(mult(rd(X3,X2),X2),X),mult(X2,ld(mult(rd(X3,X2),X2),X))) = mult(ld(X3,X),mult(X2,ld(mult(rd(X3,X2),X2),X))),
    inference(congruence,[status(thm)],[c792]) ).

cnf(c794,plain,
    mult(rd(X2,X),X) = X2,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c795,plain,
    ld(mult(rd(X3,X2),X2),X) = ld(X3,X),
    inference(congruence,[status(thm)],[c794]) ).

cnf(c796,plain,
    mult(X2,ld(mult(rd(X3,X2),X2),X)) = mult(X2,ld(X3,X)),
    inference(congruence,[status(thm)],[c795]) ).

cnf(c797,plain,
    mult(ld(X3,X),mult(X2,ld(mult(rd(X3,X2),X2),X))) = mult(ld(X3,X),mult(X2,ld(X3,X))),
    inference(congruence,[status(thm)],[c796]) ).

cnf(c798,plain,
    mult(ld(mult(rd(X3,X2),X2),X),mult(X2,ld(mult(rd(X3,X2),X2),X))) = mult(ld(X3,X),mult(X2,ld(X3,X))),
    inference(transitivity,[status(thm)],[c793,c797]) ).

cnf(c799,plain,
    ld(mult(rd(X3,X2),ld(X,mult(rd(X3,X2),X2))),X) = mult(ld(X3,X),mult(X2,ld(X3,X))),
    inference(transitivity,[status(thm)],[c790,c798]) ).

cnf(c800,plain,
    ld(mult(rd(X3,X2),ld(X,X3)),X) = mult(ld(X3,X),mult(X2,ld(X3,X))),
    inference(transitivity,[status(thm)],[c788,c799]) ).

cnf(c801,plain,
    ld(mult(rd(X3,X),ld(rd(X3,X2),X3)),rd(X3,X2)) = mult(ld(X3,rd(X3,X2)),mult(X,ld(X3,rd(X3,X2)))),
    inference(substitution,[status(thm)],[c800]) ).

cnf(c802,plain,
    mult(ld(X3,rd(X3,X2)),mult(X,ld(X3,rd(X3,X2)))) = ld(mult(rd(X3,X),ld(rd(X3,X2),X3)),rd(X3,X2)),
    inference(symmetry,[status(thm)],[c801]) ).

cnf(c803,plain,
    mult(rd(X3,X),ld(rd(X3,X2),X3)) = mult(rd(X3,X),X2),
    inference(congruence,[status(thm)],[c80]) ).

cnf(c804,plain,
    ld(mult(rd(X3,X),ld(rd(X3,X2),X3)),rd(X3,X2)) = ld(mult(rd(X3,X),X2),rd(X3,X2)),
    inference(congruence,[status(thm)],[c803]) ).

cnf(c805,plain,
    mult(rd(X2,X),X) = X2,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c806,plain,
    X2 = mult(rd(X2,X),X),
    inference(symmetry,[status(thm)],[c805]) ).

cnf(c807,plain,
    rd(X3,X) = rd(mult(rd(X3,X2),X2),X),
    inference(congruence,[status(thm)],[c806]) ).

cnf(c808,plain,
    ld(mult(rd(X3,X2),X),rd(X3,X)) = ld(mult(rd(X3,X2),X),rd(mult(rd(X3,X2),X2),X)),
    inference(congruence,[status(thm)],[c807]) ).

cnf(c809,plain,
    ld(mult(rd(X3,X2),X),rd(mult(rd(X3,X2),X2),X)) = rd(ld(X,X2),X),
    inference(substitution,[status(thm)],[c111]) ).

cnf(c810,plain,
    ld(mult(rd(X3,X2),X),rd(X3,X)) = rd(ld(X,X2),X),
    inference(transitivity,[status(thm)],[c808,c809]) ).

cnf(c811,plain,
    ld(mult(rd(X3,X),X2),rd(X3,X2)) = rd(ld(X2,X),X2),
    inference(substitution,[status(thm)],[c810]) ).

cnf(c812,plain,
    ld(mult(rd(X3,X),ld(rd(X3,X2),X3)),rd(X3,X2)) = rd(ld(X2,X),X2),
    inference(transitivity,[status(thm)],[c804,c811]) ).

cnf(c813,plain,
    mult(ld(X3,rd(X3,X2)),mult(X,ld(X3,rd(X3,X2)))) = rd(ld(X2,X),X2),
    inference(transitivity,[status(thm)],[c802,c812]) ).

cnf(c814,plain,
    mult(ld(X3,rd(X3,X2)),rd(X,X2)) = rd(ld(X2,X),X2),
    inference(transitivity,[status(thm)],[c783,c813]) ).

cnf(c815,plain,
    mult(ld(X,rd(X,X3)),rd(X2,X3)) = rd(ld(X3,X2),X3),
    inference(substitution,[status(thm)],[c814]) ).

cnf(c816,plain,
    rd(ld(X3,X2),X3) = mult(ld(X,rd(X,X3)),rd(X2,X3)),
    inference(symmetry,[status(thm)],[c815]) ).

cnf(c817,plain,
    rd(rd(ld(X3,X2),X3),rd(X2,X3)) = rd(mult(ld(X,rd(X,X3)),rd(X2,X3)),rd(X2,X3)),
    inference(congruence,[status(thm)],[c816]) ).

cnf(c818,plain,
    rd(mult(ld(X,rd(X,X3)),rd(X2,X3)),rd(X2,X3)) = ld(X,rd(X,X3)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c819,plain,
    rd(rd(ld(X3,X2),X3),rd(X2,X3)) = ld(X,rd(X,X3)),
    inference(transitivity,[status(thm)],[c817,c818]) ).

cnf(c820,plain,
    rd(rd(ld(X2,ld(X2,X2)),X2),rd(ld(X2,X2),X2)) = ld(X,rd(X,X2)),
    inference(substitution,[status(thm)],[c819]) ).

cnf(c821,plain,
    rd(rd(ld(X3,ld(X3,X3)),X3),ld(X,rd(X,X3))) = ld(X2,rd(X2,X3)),
    inference(transitivity,[status(thm)],[c780,c820]) ).

cnf(c822,plain,
    mult(rd(ld(X3,ld(X3,X3)),X3),ld(rd(X,X3),X)) = ld(X2,rd(X2,X3)),
    inference(transitivity,[status(thm)],[c778,c821]) ).

cnf(c823,plain,
    mult(ld(mult(X3,X3),rd(X3,X3)),ld(rd(X,X3),X)) = ld(X2,rd(X2,X3)),
    inference(transitivity,[status(thm)],[c776,c822]) ).

cnf(c824,plain,
    mult(ld(mult(X3,X3),ld(X3,X3)),ld(rd(X,X3),X)) = ld(X2,rd(X2,X3)),
    inference(transitivity,[status(thm)],[c773,c823]) ).

cnf(c825,plain,
    mult(ld(X4,rd(X4,mult(X3,X3))),ld(rd(X,X3),X)) = ld(X2,rd(X2,X3)),
    inference(transitivity,[status(thm)],[c770,c824]) ).

cnf(c826,plain,
    mult(ld(X3,rd(X3,mult(X2,X2))),X2) = ld(X,rd(X,X2)),
    inference(transitivity,[status(thm)],[c767,c825]) ).

cnf(c827,plain,
    mult(ld(X,rd(X,mult(ld(ld(X4,X4),ld(X3,X3)),ld(ld(X4,X4),ld(X3,X3))))),ld(ld(X4,X4),ld(X3,X3))) = ld(X2,rd(X2,ld(ld(X4,X4),ld(X3,X3)))),
    inference(substitution,[status(thm)],[c826]) ).

cnf(c828,plain,
    ld(X2,rd(X2,ld(ld(X4,X4),ld(X3,X3)))) = mult(ld(X,rd(X,mult(ld(ld(X4,X4),ld(X3,X3)),ld(ld(X4,X4),ld(X3,X3))))),ld(ld(X4,X4),ld(X3,X3))),
    inference(symmetry,[status(thm)],[c827]) ).

cnf(c829,plain,
    rd(ld(ld(X2,X2),ld(X,X)),mult(ld(X2,X2),ld(X,X))) = mult(ld(ld(X2,X2),ld(X,X)),ld(ld(X2,X2),ld(X,X))),
    inference(substitution,[status(thm)],[c753]) ).

cnf(c830,plain,
    mult(ld(ld(X2,X2),ld(X,X)),ld(ld(X2,X2),ld(X,X))) = rd(ld(ld(X2,X2),ld(X,X)),mult(ld(X2,X2),ld(X,X))),
    inference(symmetry,[status(thm)],[c829]) ).

cnf(c831,plain,
    mult(mult(ld(X2,X2),ld(X2,X2)),mult(ld(X2,X2),X)) = ld(ld(X2,X2),X),
    inference(substitution,[status(thm)],[c295]) ).

cnf(c832,plain,
    ld(ld(X2,X2),X) = mult(mult(ld(X2,X2),ld(X2,X2)),mult(ld(X2,X2),X)),
    inference(symmetry,[status(thm)],[c831]) ).

cnf(c833,plain,
    rd(ld(ld(X2,X2),X),mult(ld(X2,X2),X)) = rd(mult(mult(ld(X2,X2),ld(X2,X2)),mult(ld(X2,X2),X)),mult(ld(X2,X2),X)),
    inference(congruence,[status(thm)],[c832]) ).

cnf(c834,plain,
    rd(mult(mult(ld(X2,X2),ld(X2,X2)),mult(ld(X2,X2),X)),mult(ld(X2,X2),X)) = mult(ld(X2,X2),ld(X2,X2)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c835,plain,
    rd(mult(mult(ld(X2,X2),ld(X2,X2)),mult(ld(X2,X2),X)),mult(ld(X2,X2),X)) = ld(X2,X2),
    inference(transitivity,[status(thm)],[c834,c204]) ).

cnf(c836,plain,
    rd(ld(ld(X2,X2),X),mult(ld(X2,X2),X)) = ld(X2,X2),
    inference(transitivity,[status(thm)],[c833,c835]) ).

cnf(c837,plain,
    rd(ld(ld(X2,X2),ld(X,X)),mult(ld(X2,X2),ld(X,X))) = ld(X2,X2),
    inference(substitution,[status(thm)],[c836]) ).

cnf(c838,plain,
    mult(ld(ld(X2,X2),ld(X,X)),ld(ld(X2,X2),ld(X,X))) = ld(X2,X2),
    inference(transitivity,[status(thm)],[c830,c837]) ).

cnf(c839,plain,
    rd(X,mult(ld(ld(X3,X3),ld(X2,X2)),ld(ld(X3,X3),ld(X2,X2)))) = rd(X,ld(X3,X3)),
    inference(congruence,[status(thm)],[c838]) ).

cnf(c840,plain,
    ld(X,rd(X,mult(ld(ld(X3,X3),ld(X2,X2)),ld(ld(X3,X3),ld(X2,X2))))) = ld(X,rd(X,ld(X3,X3))),
    inference(congruence,[status(thm)],[c839]) ).

cnf(c841,plain,
    mult(ld(X,rd(X,mult(ld(ld(X3,X3),ld(X2,X2)),ld(ld(X3,X3),ld(X2,X2))))),ld(ld(X3,X3),ld(X2,X2))) = mult(ld(X,rd(X,ld(X3,X3))),ld(ld(X3,X3),ld(X2,X2))),
    inference(congruence,[status(thm)],[c840]) ).

cnf(c842,plain,
    rd(X,ld(X2,X2)) = mult(X,ld(X2,X2)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c843,plain,
    ld(X,rd(X,ld(X2,X2))) = ld(X,mult(X,ld(X2,X2))),
    inference(congruence,[status(thm)],[c842]) ).

cnf(c844,plain,
    mult(ld(X,rd(X,ld(X3,X3))),ld(ld(X3,X3),ld(X2,X2))) = mult(ld(X,mult(X,ld(X3,X3))),ld(ld(X3,X3),ld(X2,X2))),
    inference(congruence,[status(thm)],[c843]) ).

cnf(c845,plain,
    ld(X,mult(X,ld(X2,X2))) = ld(X2,X2),
    inference(substitution,[status(thm)],[c7]) ).

cnf(c846,plain,
    mult(ld(X,mult(X,ld(X3,X3))),ld(ld(X3,X3),ld(X2,X2))) = mult(ld(X3,X3),ld(ld(X3,X3),ld(X2,X2))),
    inference(congruence,[status(thm)],[c845]) ).

cnf(c847,plain,
    mult(ld(X2,X2),ld(ld(X2,X2),ld(X,X))) = ld(X,X),
    inference(substitution,[status(thm)],[c10]) ).

cnf(c848,plain,
    mult(ld(X,mult(X,ld(X3,X3))),ld(ld(X3,X3),ld(X2,X2))) = ld(X2,X2),
    inference(transitivity,[status(thm)],[c846,c847]) ).

cnf(c849,plain,
    mult(ld(X,rd(X,ld(X3,X3))),ld(ld(X3,X3),ld(X2,X2))) = ld(X2,X2),
    inference(transitivity,[status(thm)],[c844,c848]) ).

cnf(c850,plain,
    mult(ld(X,rd(X,mult(ld(ld(X3,X3),ld(X2,X2)),ld(ld(X3,X3),ld(X2,X2))))),ld(ld(X3,X3),ld(X2,X2))) = ld(X2,X2),
    inference(transitivity,[status(thm)],[c841,c849]) ).

cnf(c851,plain,
    ld(X,rd(X,ld(ld(X3,X3),ld(X2,X2)))) = ld(X2,X2),
    inference(transitivity,[status(thm)],[c828,c850]) ).

cnf(c852,plain,
    ld(ld(X,X),ld(X2,X2)) = ld(X,X),
    inference(transitivity,[status(thm)],[c764,c851]) ).

cnf(c853,plain,
    mult(ld(X2,X2),ld(X,X)) = ld(X,X),
    inference(transitivity,[status(thm)],[c762,c852]) ).

cnf(c854,plain,
    mult(ld(X,X),ld(X2,X2)) = ld(X2,X2),
    inference(substitution,[status(thm)],[c853]) ).

cnf(c855,plain,
    rd(mult(ld(X,X),ld(X2,X2)),ld(X2,X2)) = rd(ld(X2,X2),ld(X2,X2)),
    inference(congruence,[status(thm)],[c854]) ).

cnf(c856,plain,
    rd(ld(X,X),ld(X,X)) = mult(ld(X,X),ld(X,X)),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c857,plain,
    rd(ld(X,X),ld(X,X)) = ld(X,X),
    inference(transitivity,[status(thm)],[c856,c204]) ).

cnf(c858,plain,
    rd(mult(ld(X,X),ld(X2,X2)),ld(X2,X2)) = ld(X2,X2),
    inference(transitivity,[status(thm)],[c855,c857]) ).

cnf(c859,plain,
    ld(X,X) = ld(X2,X2),
    inference(transitivity,[status(thm)],[c4,c858]) ).

cnf(c860,plain,
    ld(X3,X3) = ld(ld(mult(X,X2),X),ld(mult(X,X2),X)),
    inference(substitution,[status(thm)],[c859]) ).

cnf(c861,plain,
    mult(ld(X3,X3),X2) = mult(ld(ld(mult(X,X2),X),ld(mult(X,X2),X)),X2),
    inference(congruence,[status(thm)],[c860]) ).

cnf(c862,plain,
    mult(rd(X3,X),mult(X,mult(ld(mult(X2,X),X2),X))) = mult(mult(X3,ld(mult(X2,X),X2)),X),
    inference(substitution,[status(thm)],[c21]) ).

cnf(c863,plain,
    mult(mult(X3,ld(mult(X2,X),X2)),X) = mult(rd(X3,X),mult(X,mult(ld(mult(X2,X),X2),X))),
    inference(symmetry,[status(thm)],[c862]) ).

cnf(c864,plain,
    mult(X3,mult(X2,mult(X,X2))) = mult(mult(mult(X3,X2),X),X2),
    inference(substitution,[status(thm)],[c15]) ).

cnf(c865,plain,
    mult(mult(mult(X3,X2),X),X2) = mult(X3,mult(X2,mult(X,X2))),
    inference(symmetry,[status(thm)],[c864]) ).

cnf(c866,plain,
    ld(X3,mult(mult(mult(X3,X2),X),X2)) = ld(X3,mult(X3,mult(X2,mult(X,X2)))),
    inference(congruence,[status(thm)],[c865]) ).

cnf(c867,plain,
    ld(X3,mult(X3,mult(X2,mult(X,X2)))) = mult(X2,mult(X,X2)),
    inference(substitution,[status(thm)],[c7]) ).

cnf(c868,plain,
    ld(X3,mult(mult(mult(X3,X2),X),X2)) = mult(X2,mult(X,X2)),
    inference(transitivity,[status(thm)],[c866,c867]) ).

cnf(c869,plain,
    ld(X2,mult(mult(mult(X2,X3),ld(mult(X2,X3),X)),X3)) = mult(X3,mult(ld(mult(X2,X3),X),X3)),
    inference(substitution,[status(thm)],[c868]) ).

cnf(c870,plain,
    mult(X3,mult(ld(mult(X2,X3),X),X3)) = ld(X2,mult(mult(mult(X2,X3),ld(mult(X2,X3),X)),X3)),
    inference(symmetry,[status(thm)],[c869]) ).

cnf(c871,plain,
    mult(mult(X2,X3),ld(mult(X2,X3),X)) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c872,plain,
    mult(mult(mult(X2,X3),ld(mult(X2,X3),X)),X3) = mult(X,X3),
    inference(congruence,[status(thm)],[c871]) ).

cnf(c873,plain,
    ld(X2,mult(mult(mult(X2,X3),ld(mult(X2,X3),X)),X3)) = ld(X2,mult(X,X3)),
    inference(congruence,[status(thm)],[c872]) ).

cnf(c874,plain,
    mult(X3,mult(ld(mult(X2,X3),X),X3)) = ld(X2,mult(X,X3)),
    inference(transitivity,[status(thm)],[c870,c873]) ).

cnf(c875,plain,
    ld(X2,mult(X,X3)) = mult(X3,mult(ld(mult(X2,X3),X),X3)),
    inference(symmetry,[status(thm)],[c874]) ).

cnf(c876,plain,
    ld(X3,ld(X2,mult(X,X3))) = ld(X3,mult(X3,mult(ld(mult(X2,X3),X),X3))),
    inference(congruence,[status(thm)],[c875]) ).

cnf(c877,plain,
    ld(X3,mult(X3,mult(ld(mult(X2,X3),X),X3))) = mult(ld(mult(X2,X3),X),X3),
    inference(substitution,[status(thm)],[c7]) ).

cnf(c878,plain,
    ld(X3,ld(X2,mult(X,X3))) = mult(ld(mult(X2,X3),X),X3),
    inference(transitivity,[status(thm)],[c876,c877]) ).

cnf(c879,plain,
    ld(X,ld(X2,mult(X2,X))) = mult(ld(mult(X2,X),X2),X),
    inference(substitution,[status(thm)],[c878]) ).

cnf(c880,plain,
    mult(ld(mult(X2,X),X2),X) = ld(X,ld(X2,mult(X2,X))),
    inference(symmetry,[status(thm)],[c879]) ).

cnf(c881,plain,
    ld(X2,mult(X2,X)) = X,
    inference(substitution,[status(thm)],[c7]) ).

cnf(c882,plain,
    ld(X,ld(X2,mult(X2,X))) = ld(X,X),
    inference(congruence,[status(thm)],[c881]) ).

cnf(c883,plain,
    mult(ld(mult(X2,X),X2),X) = ld(X,X),
    inference(transitivity,[status(thm)],[c880,c882]) ).

cnf(c884,plain,
    mult(X,mult(ld(mult(X2,X),X2),X)) = mult(X,ld(X,X)),
    inference(congruence,[status(thm)],[c883]) ).

cnf(c885,plain,
    mult(rd(X3,X),mult(X,mult(ld(mult(X2,X),X2),X))) = mult(rd(X3,X),mult(X,ld(X,X))),
    inference(congruence,[status(thm)],[c884]) ).

cnf(c886,plain,
    mult(X,ld(X,X)) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c887,plain,
    mult(rd(X2,X),mult(X,ld(X,X))) = mult(rd(X2,X),X),
    inference(congruence,[status(thm)],[c886]) ).

cnf(c888,plain,
    mult(rd(X2,X),X) = X2,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c889,plain,
    mult(rd(X2,X),mult(X,ld(X,X))) = X2,
    inference(transitivity,[status(thm)],[c887,c888]) ).

cnf(c890,plain,
    mult(rd(X3,X),mult(X,mult(ld(mult(X2,X),X2),X))) = X3,
    inference(transitivity,[status(thm)],[c885,c889]) ).

cnf(c891,plain,
    mult(mult(X3,ld(mult(X2,X),X2)),X) = X3,
    inference(transitivity,[status(thm)],[c863,c890]) ).

cnf(c892,plain,
    mult(mult(rd(X3,ld(mult(X2,X),X2)),ld(mult(X2,X),X2)),X) = rd(X3,ld(mult(X2,X),X2)),
    inference(substitution,[status(thm)],[c891]) ).

cnf(c893,plain,
    rd(X3,ld(mult(X2,X),X2)) = mult(mult(rd(X3,ld(mult(X2,X),X2)),ld(mult(X2,X),X2)),X),
    inference(symmetry,[status(thm)],[c892]) ).

cnf(c894,plain,
    mult(rd(X3,ld(mult(X2,X),X2)),ld(mult(X2,X),X2)) = X3,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c895,plain,
    mult(mult(rd(X3,ld(mult(X2,X),X2)),ld(mult(X2,X),X2)),X) = mult(X3,X),
    inference(congruence,[status(thm)],[c894]) ).

cnf(c896,plain,
    rd(X3,ld(mult(X2,X),X2)) = mult(X3,X),
    inference(transitivity,[status(thm)],[c893,c895]) ).

cnf(c897,plain,
    rd(ld(ld(mult(X3,X2),X3),X),ld(mult(X3,X2),X3)) = mult(ld(ld(mult(X3,X2),X3),X),X2),
    inference(substitution,[status(thm)],[c896]) ).

cnf(c898,plain,
    mult(ld(ld(mult(X3,X2),X3),X),X2) = rd(ld(ld(mult(X3,X2),X3),X),ld(mult(X3,X2),X3)),
    inference(symmetry,[status(thm)],[c897]) ).

cnf(c899,plain,
    ld(mult(X,ld(mult(X4,X3),X4)),rd(mult(X,X2),ld(mult(X4,X3),X4))) = rd(ld(ld(mult(X4,X3),X4),X2),ld(mult(X4,X3),X4)),
    inference(substitution,[status(thm)],[c111]) ).

cnf(c900,plain,
    rd(ld(ld(mult(X4,X3),X4),X2),ld(mult(X4,X3),X4)) = ld(mult(X,ld(mult(X4,X3),X4)),rd(mult(X,X2),ld(mult(X4,X3),X4))),
    inference(symmetry,[status(thm)],[c899]) ).

cnf(c901,plain,
    rd(mult(X,X2),ld(mult(X4,X3),X4)) = mult(mult(X,X2),X3),
    inference(substitution,[status(thm)],[c896]) ).

cnf(c902,plain,
    ld(mult(X,ld(mult(X4,X3),X4)),rd(mult(X,X2),ld(mult(X4,X3),X4))) = ld(mult(X,ld(mult(X4,X3),X4)),mult(mult(X,X2),X3)),
    inference(congruence,[status(thm)],[c901]) ).

cnf(c903,plain,
    rd(mult(mult(X3,ld(mult(X2,X),X2)),X),X) = mult(X3,ld(mult(X2,X),X2)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c904,plain,
    mult(X3,ld(mult(X2,X),X2)) = rd(mult(mult(X3,ld(mult(X2,X),X2)),X),X),
    inference(symmetry,[status(thm)],[c903]) ).

cnf(c905,plain,
    rd(mult(mult(X3,ld(mult(X2,X),X2)),X),X) = rd(X3,X),
    inference(congruence,[status(thm)],[c891]) ).

cnf(c906,plain,
    mult(X3,ld(mult(X2,X),X2)) = rd(X3,X),
    inference(transitivity,[status(thm)],[c904,c905]) ).

cnf(c907,plain,
    mult(X,ld(mult(X3,X2),X3)) = rd(X,X2),
    inference(substitution,[status(thm)],[c906]) ).

cnf(c908,plain,
    ld(mult(X,ld(mult(X4,X3),X4)),mult(mult(X,X2),X3)) = ld(rd(X,X3),mult(mult(X,X2),X3)),
    inference(congruence,[status(thm)],[c907]) ).

cnf(c909,plain,
    ld(rd(X,X3),mult(mult(X,X2),X3)) = mult(X3,mult(X2,X3)),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c910,plain,
    ld(mult(X,ld(mult(X4,X3),X4)),mult(mult(X,X2),X3)) = mult(X3,mult(X2,X3)),
    inference(transitivity,[status(thm)],[c908,c909]) ).

cnf(c911,plain,
    ld(mult(X,ld(mult(X4,X3),X4)),rd(mult(X,X2),ld(mult(X4,X3),X4))) = mult(X3,mult(X2,X3)),
    inference(transitivity,[status(thm)],[c902,c910]) ).

cnf(c912,plain,
    rd(ld(ld(mult(X3,X2),X3),X),ld(mult(X3,X2),X3)) = mult(X2,mult(X,X2)),
    inference(transitivity,[status(thm)],[c900,c911]) ).

cnf(c913,plain,
    mult(ld(ld(mult(X3,X2),X3),X),X2) = mult(X2,mult(X,X2)),
    inference(transitivity,[status(thm)],[c898,c912]) ).

cnf(c914,plain,
    mult(ld(ld(mult(X,X2),X),ld(mult(X,X2),X)),X2) = mult(X2,mult(ld(mult(X,X2),X),X2)),
    inference(substitution,[status(thm)],[c913]) ).

cnf(c915,plain,
    mult(X2,mult(ld(mult(X,X2),X),X2)) = ld(X,mult(X,X2)),
    inference(substitution,[status(thm)],[c874]) ).

cnf(c916,plain,
    ld(X,mult(X,X2)) = X2,
    inference(substitution,[status(thm)],[c7]) ).

cnf(c917,plain,
    mult(X2,mult(ld(mult(X,X2),X),X2)) = X2,
    inference(transitivity,[status(thm)],[c915,c916]) ).

cnf(c918,plain,
    mult(ld(ld(mult(X,X2),X),ld(mult(X,X2),X)),X2) = X2,
    inference(transitivity,[status(thm)],[c914,c917]) ).

cnf(c919,plain,
    mult(ld(X2,X2),X) = X,
    inference(transitivity,[status(thm)],[c861,c918]) ).

cnf(c920,plain,
    mult(ld(x1,x1),x0) = x0,
    inference(substitution,[status(thm)],[c919]) ).

cnf(c921,plain,
    $false,
    inference(resolution,[status(thm)],[c1,c920]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP655-14 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41  % Computer : n004.cluster.edu
% 0.13/0.41  % Model    : x86_64 x86_64
% 0.13/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41  % Memory   : 8046.5625MB
% 0.13/0.41  % OS       : Linux 6.8.0-71-generic
% 0.13/0.41  % CPULimit : 300
% 0.13/0.41  % WCLimit  : 300
% 0.13/0.41  % DateTime : Sun Sep 27 10:31:52 UTC 2026
% 0.13/0.41  % CPUTime  : 
% 0.13/0.41  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.18/2.02  Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 11.18/2.02  
% 11.18/2.02  % SZS status Unsatisfiable
% 11.18/2.02  
% 12.53/2.09  % SZS output start CNFRefutation
% See solution above
% 16.68/2.67  
% 16.68/2.67  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------