%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP689-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 10:11:44 AM UTC 2026
% Result : Unsatisfiable 102.21s 13.30s
% Output : CNFRefutation 130.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 161
% Number of leaves : 12
% Syntax : Number of clauses : 2343 (2343 unt; 0 nHn;1055 RR)
% Number of literals : 2343 (2342 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 1628 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(op_c,op_d) != mult(op_d,op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c2,axiom,
ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
cnf(c3,plain,
ld(i(X2),mult(i(X2),mult(X2,X))) = mult(X2,X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
mult(X2,X) = ld(i(X2),mult(i(X2),mult(X2,X))),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
mult(i(A2),mult(A2,B2)) = B2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
cnf(c6,plain,
mult(i(X2),mult(X2,X)) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
ld(i(X2),mult(i(X2),mult(X2,X))) = ld(i(X2),X),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,plain,
mult(X2,X) = ld(i(X2),X),
inference(transitivity,[status(thm)],[c4,c7]) ).
cnf(c9,plain,
mult(X2,ld(X2,X)) = ld(i(X2),ld(X2,X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
ld(i(X2),ld(X2,X)) = mult(X2,ld(X2,X)),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,axiom,
mult(A2,ld(A2,B2)) = B2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
cnf(c12,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
ld(i(X2),ld(X2,X)) = X,
inference(transitivity,[status(thm)],[c10,c12]) ).
cnf(c14,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_c))) = mult(op_d,op_c),
inference(substitution,[status(thm)],[c13]) ).
cnf(c15,plain,
mult(op_d,op_c) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_c))),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,axiom,
mult(op_c,mult(op_c,mult(op_c,op_c))) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c17,plain,
mult(X,mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(X,unit),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,axiom,
mult(A2,unit) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
cnf(c19,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c18]) ).
cnf(c20,plain,
mult(X,mult(op_c,mult(op_c,mult(op_c,op_c)))) = X,
inference(transitivity,[status(thm)],[c17,c19]) ).
cnf(c21,plain,
mult(i(i(X)),mult(op_c,mult(op_c,mult(op_c,op_c)))) = i(i(X)),
inference(substitution,[status(thm)],[c20]) ).
cnf(c22,plain,
i(i(X)) = mult(i(i(X)),mult(op_c,mult(op_c,mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c21]) ).
cnf(c23,plain,
mult(i(X),mult(X,unit)) = unit,
inference(substitution,[status(thm)],[c5]) ).
cnf(c24,plain,
unit = mult(i(X),mult(X,unit)),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c18]) ).
cnf(c26,plain,
mult(i(X),mult(X,unit)) = mult(i(X),X),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,plain,
unit = mult(i(X),X),
inference(transitivity,[status(thm)],[c24,c26]) ).
cnf(c28,plain,
mult(op_c,mult(op_c,mult(op_c,op_c))) = mult(i(X),X),
inference(transitivity,[status(thm)],[c16,c27]) ).
cnf(c29,plain,
mult(i(i(X)),mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(i(i(X)),mult(i(X),X)),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,plain,
mult(i(i(X)),mult(i(X),X)) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c31,plain,
mult(i(i(X)),mult(op_c,mult(op_c,mult(op_c,op_c)))) = X,
inference(transitivity,[status(thm)],[c29,c30]) ).
cnf(c32,plain,
i(i(X)) = X,
inference(transitivity,[status(thm)],[c22,c31]) ).
cnf(c33,plain,
i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(substitution,[status(thm)],[c32]) ).
cnf(c34,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(symmetry,[status(thm)],[c33]) ).
cnf(c35,plain,
rd(mult(op_c,mult(op_c,mult(op_c,op_c))),X) = rd(mult(i(X),X),X),
inference(congruence,[status(thm)],[c28]) ).
cnf(c36,axiom,
rd(mult(A2,B2),B2) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
cnf(c37,plain,
rd(mult(i(X),X),X) = i(X),
inference(substitution,[status(thm)],[c36]) ).
cnf(c38,plain,
rd(mult(op_c,mult(op_c,mult(op_c,op_c))),X) = i(X),
inference(transitivity,[status(thm)],[c35,c37]) ).
cnf(c39,plain,
rd(mult(op_c,mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(substitution,[status(thm)],[c38]) ).
cnf(c40,plain,
i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = rd(mult(op_c,mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c39]) ).
cnf(c41,axiom,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c42,plain,
unit = mult(op_c,mult(op_c,mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c43,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
inference(transitivity,[status(thm)],[c41,c42]) ).
cnf(c44,plain,
mult(op_c,mult(op_c,mult(op_c,op_c))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c43]) ).
cnf(c45,plain,
rd(mult(op_c,mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(congruence,[status(thm)],[c44]) ).
cnf(c46,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = op_d,
inference(substitution,[status(thm)],[c36]) ).
cnf(c47,plain,
rd(mult(op_c,mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = op_d,
inference(transitivity,[status(thm)],[c45,c46]) ).
cnf(c48,plain,
i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = op_d,
inference(transitivity,[status(thm)],[c40,c47]) ).
cnf(c49,plain,
i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = i(op_d),
inference(congruence,[status(thm)],[c48]) ).
cnf(c50,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = i(op_d),
inference(transitivity,[status(thm)],[c34,c49]) ).
cnf(c51,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,X)) = mult(i(op_d),mult(op_d,X)),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
mult(i(op_d),mult(op_d,X)) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c53,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,X)) = X,
inference(transitivity,[status(thm)],[c51,c52]) ).
cnf(c54,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(substitution,[status(thm)],[c53]) ).
cnf(c55,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(symmetry,[status(thm)],[c54]) ).
cnf(c56,plain,
i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(substitution,[status(thm)],[c32]) ).
cnf(c57,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(symmetry,[status(thm)],[c56]) ).
cnf(c58,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,op_d)))) = ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,op_d)))) = ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c60,plain,
ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,mult(op_d,op_d)))) = mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,op_d)))),
inference(symmetry,[status(thm)],[c59]) ).
cnf(c61,axiom,
i(mult(A2,B2)) = mult(i(A2),i(B2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).
cnf(c62,plain,
i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,op_d)))) = mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c63,plain,
mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,op_d)))) = i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,op_d)))),
inference(symmetry,[status(thm)],[c62]) ).
cnf(c64,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,op_d))) = mult(op_d,op_d),
inference(substitution,[status(thm)],[c53]) ).
cnf(c65,plain,
i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,op_d)))) = i(mult(op_d,op_d)),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c32]) ).
cnf(c67,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c66]) ).
cnf(c68,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c53]) ).
cnf(c69,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c68]) ).
cnf(c70,plain,
i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c72,plain,
mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(op_d,i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(congruence,[status(thm)],[c48]) ).
cnf(c73,plain,
mult(op_d,i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(op_d,op_d),
inference(congruence,[status(thm)],[c48]) ).
cnf(c74,plain,
mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(op_d,op_d),
inference(transitivity,[status(thm)],[c72,c73]) ).
cnf(c75,plain,
i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(op_d,op_d),
inference(transitivity,[status(thm)],[c71,c74]) ).
cnf(c76,plain,
i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = mult(op_d,op_d),
inference(transitivity,[status(thm)],[c70,c75]) ).
cnf(c77,plain,
i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = i(mult(op_d,op_d)),
inference(congruence,[status(thm)],[c76]) ).
cnf(c78,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = i(mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c67,c77]) ).
cnf(c79,plain,
i(mult(op_d,op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c78]) ).
cnf(c80,plain,
i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(transitivity,[status(thm)],[c65,c79]) ).
cnf(c81,plain,
mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(transitivity,[status(thm)],[c63,c80]) ).
cnf(c82,plain,
ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(transitivity,[status(thm)],[c60,c81]) ).
cnf(c83,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(transitivity,[status(thm)],[c58,c82]) ).
cnf(c84,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,op_d)))),
inference(symmetry,[status(thm)],[c83]) ).
cnf(c85,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,op_d))))) = i(mult(op_d,mult(op_d,op_d))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c87,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = i(mult(op_d,mult(op_d,op_d))),
inference(transitivity,[status(thm)],[c85,c86]) ).
cnf(c88,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = i(mult(op_d,mult(op_d,op_d))),
inference(transitivity,[status(thm)],[c55,c87]) ).
cnf(c89,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))) = ld(i(mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c))),
inference(congruence,[status(thm)],[c88]) ).
cnf(c90,plain,
ld(i(X2),X) = mult(X2,X),
inference(symmetry,[status(thm)],[c8]) ).
cnf(c91,plain,
i(ld(i(X2),X)) = i(mult(X2,X)),
inference(congruence,[status(thm)],[c90]) ).
cnf(c92,plain,
i(mult(X2,X)) = mult(i(X2),i(X)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c93,plain,
mult(i(X2),i(X)) = ld(i(i(X2)),i(X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c94,plain,
ld(i(i(X2)),i(X)) = ld(X2,i(X)),
inference(congruence,[status(thm)],[c32]) ).
cnf(c95,plain,
mult(i(X2),i(X)) = ld(X2,i(X)),
inference(transitivity,[status(thm)],[c93,c94]) ).
cnf(c96,plain,
i(mult(X2,X)) = ld(X2,i(X)),
inference(transitivity,[status(thm)],[c92,c95]) ).
cnf(c97,plain,
i(ld(i(X2),X)) = ld(X2,i(X)),
inference(transitivity,[status(thm)],[c91,c96]) ).
cnf(c98,plain,
ld(X2,i(X)) = i(ld(i(X2),X)),
inference(symmetry,[status(thm)],[c97]) ).
cnf(c99,plain,
i(ld(X2,i(X))) = i(i(ld(i(X2),X))),
inference(congruence,[status(thm)],[c98]) ).
cnf(c100,plain,
i(i(ld(i(X2),X))) = ld(i(X2),X),
inference(substitution,[status(thm)],[c32]) ).
cnf(c101,plain,
i(ld(X2,i(X))) = ld(i(X2),X),
inference(transitivity,[status(thm)],[c99,c100]) ).
cnf(c102,plain,
i(ld(X,i(mult(op_c,mult(op_c,op_c))))) = ld(i(X),mult(op_c,mult(op_c,op_c))),
inference(substitution,[status(thm)],[c101]) ).
cnf(c103,plain,
ld(i(X),mult(op_c,mult(op_c,op_c))) = i(ld(X,i(mult(op_c,mult(op_c,op_c))))),
inference(symmetry,[status(thm)],[c102]) ).
cnf(c104,plain,
rd(mult(op_c,mult(op_c,mult(op_c,op_c))),mult(op_c,mult(op_c,op_c))) = i(mult(op_c,mult(op_c,op_c))),
inference(substitution,[status(thm)],[c38]) ).
cnf(c105,plain,
i(mult(op_c,mult(op_c,op_c))) = rd(mult(op_c,mult(op_c,mult(op_c,op_c))),mult(op_c,mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c104]) ).
cnf(c106,plain,
rd(mult(op_c,mult(op_c,mult(op_c,op_c))),mult(op_c,mult(op_c,op_c))) = op_c,
inference(substitution,[status(thm)],[c36]) ).
cnf(c107,plain,
i(mult(op_c,mult(op_c,op_c))) = op_c,
inference(transitivity,[status(thm)],[c105,c106]) ).
cnf(c108,plain,
ld(X,i(mult(op_c,mult(op_c,op_c)))) = ld(X,op_c),
inference(congruence,[status(thm)],[c107]) ).
cnf(c109,plain,
i(ld(X,i(mult(op_c,mult(op_c,op_c))))) = i(ld(X,op_c)),
inference(congruence,[status(thm)],[c108]) ).
cnf(c110,plain,
ld(i(X),mult(op_c,mult(op_c,op_c))) = i(ld(X,op_c)),
inference(transitivity,[status(thm)],[c103,c109]) ).
cnf(c111,plain,
ld(i(mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c))) = i(ld(mult(op_d,mult(op_d,op_d)),op_c)),
inference(substitution,[status(thm)],[c110]) ).
cnf(c112,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c53]) ).
cnf(c113,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c112]) ).
cnf(c114,plain,
i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(substitution,[status(thm)],[c32]) ).
cnf(c115,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(symmetry,[status(thm)],[c114]) ).
cnf(c116,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c115]) ).
cnf(c117,plain,
mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c118,plain,
ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c117]) ).
cnf(c119,plain,
i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c120,plain,
mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c119]) ).
cnf(c121,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,op_d)),
inference(substitution,[status(thm)],[c53]) ).
cnf(c122,plain,
i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,op_d))))) = i(mult(op_d,mult(op_d,op_d))),
inference(congruence,[status(thm)],[c121]) ).
cnf(c123,plain,
i(mult(op_d,mult(op_d,op_d))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c88]) ).
cnf(c124,plain,
i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c122,c123]) ).
cnf(c125,plain,
mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c120,c124]) ).
cnf(c126,plain,
ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c118,c125]) ).
cnf(c127,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c116,c126]) ).
cnf(c128,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c127]) ).
cnf(c129,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c128]) ).
cnf(c130,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,op_d)))))) = i(mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c131,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = i(mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c129,c130]) ).
cnf(c132,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))) = i(mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c113,c131]) ).
cnf(c133,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(congruence,[status(thm)],[c132]) ).
cnf(c134,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(congruence,[status(thm)],[c133]) ).
cnf(c135,plain,
mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c136,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(symmetry,[status(thm)],[c135]) ).
cnf(c137,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(congruence,[status(thm)],[c136]) ).
cnf(c138,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c132]) ).
cnf(c139,plain,
ld(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(X,i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c132]) ).
cnf(c140,plain,
i(ld(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = i(ld(X,i(mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c139]) ).
cnf(c141,plain,
i(ld(X,i(mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(i(X),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c101]) ).
cnf(c142,plain,
i(ld(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(i(X),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c140,c141]) ).
cnf(c143,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c142]) ).
cnf(c144,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c143]) ).
cnf(c145,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(i(mult(op_d,op_d)),X),
inference(congruence,[status(thm)],[c78]) ).
cnf(c146,plain,
mult(mult(op_d,op_d),X) = ld(i(mult(op_d,op_d)),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c147,plain,
ld(i(mult(op_d,op_d)),X) = mult(mult(op_d,op_d),X),
inference(symmetry,[status(thm)],[c146]) ).
cnf(c148,plain,
X = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,X)),
inference(symmetry,[status(thm)],[c53]) ).
cnf(c149,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,X))),
inference(congruence,[status(thm)],[c148]) ).
cnf(c150,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,X))) = mult(op_d,X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c151,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = mult(op_d,X),
inference(transitivity,[status(thm)],[c149,c150]) ).
cnf(c152,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),op_d) = mult(op_d,op_d),
inference(substitution,[status(thm)],[c151]) ).
cnf(c153,plain,
mult(op_d,op_d) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),op_d),
inference(symmetry,[status(thm)],[c152]) ).
cnf(c154,plain,
ld(mult(op_d,op_d),X) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),op_d),X),
inference(congruence,[status(thm)],[c153]) ).
cnf(c155,plain,
op_d = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c48]) ).
cnf(c156,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),op_d) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(congruence,[status(thm)],[c155]) ).
cnf(c157,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),op_d),X) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X),
inference(congruence,[status(thm)],[c156]) ).
cnf(c158,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c159,plain,
ld(X,i(X)) = ld(i(i(X)),i(X)),
inference(congruence,[status(thm)],[c158]) ).
cnf(c160,plain,
ld(ld(X2,i(X2)),X) = ld(ld(i(i(X2)),i(X2)),X),
inference(congruence,[status(thm)],[c159]) ).
cnf(c161,plain,
mult(i(X),i(X)) = ld(i(i(X)),i(X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c162,plain,
ld(i(i(X)),i(X)) = mult(i(X),i(X)),
inference(symmetry,[status(thm)],[c161]) ).
cnf(c163,plain,
ld(ld(i(i(X2)),i(X2)),X) = ld(mult(i(X2),i(X2)),X),
inference(congruence,[status(thm)],[c162]) ).
cnf(c164,plain,
i(mult(X,X)) = mult(i(X),i(X)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c165,plain,
mult(i(X),i(X)) = i(mult(X,X)),
inference(symmetry,[status(thm)],[c164]) ).
cnf(c166,plain,
ld(mult(i(X2),i(X2)),X) = ld(i(mult(X2,X2)),X),
inference(congruence,[status(thm)],[c165]) ).
cnf(c167,plain,
mult(mult(X2,X2),X) = ld(i(mult(X2,X2)),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c168,plain,
ld(i(mult(X2,X2)),X) = mult(mult(X2,X2),X),
inference(symmetry,[status(thm)],[c167]) ).
cnf(c169,axiom,
mult(unit,A2) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
cnf(c170,plain,
mult(unit,X) = X,
inference(substitution,[status(thm)],[c169]) ).
cnf(c171,plain,
X = mult(unit,X),
inference(symmetry,[status(thm)],[c170]) ).
cnf(c172,plain,
mult(X,X) = mult(X,mult(unit,X)),
inference(congruence,[status(thm)],[c171]) ).
cnf(c173,plain,
mult(mult(X2,X2),X) = mult(mult(X2,mult(unit,X2)),X),
inference(congruence,[status(thm)],[c172]) ).
cnf(c174,axiom,
mult(A2,mult(B2,mult(A2,C))) = mult(mult(A2,mult(B2,A2)),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
cnf(c175,plain,
mult(X2,mult(unit,mult(X2,X))) = mult(mult(X2,mult(unit,X2)),X),
inference(substitution,[status(thm)],[c174]) ).
cnf(c176,plain,
mult(mult(X2,mult(unit,X2)),X) = mult(X2,mult(unit,mult(X2,X))),
inference(symmetry,[status(thm)],[c175]) ).
cnf(c177,plain,
mult(X2,mult(unit,mult(X2,X))) = ld(i(X2),mult(unit,mult(X2,X))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c178,plain,
mult(unit,mult(X2,X)) = mult(X2,X),
inference(substitution,[status(thm)],[c169]) ).
cnf(c179,plain,
ld(i(X2),mult(unit,mult(X2,X))) = ld(i(X2),mult(X2,X)),
inference(congruence,[status(thm)],[c178]) ).
cnf(c180,plain,
ld(i(X2),mult(X2,X)) = ld(i(X2),ld(i(X2),X)),
inference(congruence,[status(thm)],[c8]) ).
cnf(c181,plain,
ld(i(X2),mult(unit,mult(X2,X))) = ld(i(X2),ld(i(X2),X)),
inference(transitivity,[status(thm)],[c179,c180]) ).
cnf(c182,plain,
mult(X2,mult(unit,mult(X2,X))) = ld(i(X2),ld(i(X2),X)),
inference(transitivity,[status(thm)],[c177,c181]) ).
cnf(c183,plain,
mult(mult(X2,mult(unit,X2)),X) = ld(i(X2),ld(i(X2),X)),
inference(transitivity,[status(thm)],[c176,c182]) ).
cnf(c184,plain,
mult(mult(X2,X2),X) = ld(i(X2),ld(i(X2),X)),
inference(transitivity,[status(thm)],[c173,c183]) ).
cnf(c185,plain,
ld(i(mult(X2,X2)),X) = ld(i(X2),ld(i(X2),X)),
inference(transitivity,[status(thm)],[c168,c184]) ).
cnf(c186,plain,
ld(mult(i(X2),i(X2)),X) = ld(i(X2),ld(i(X2),X)),
inference(transitivity,[status(thm)],[c166,c185]) ).
cnf(c187,plain,
ld(ld(i(i(X2)),i(X2)),X) = ld(i(X2),ld(i(X2),X)),
inference(transitivity,[status(thm)],[c163,c186]) ).
cnf(c188,plain,
ld(ld(X2,i(X2)),X) = ld(i(X2),ld(i(X2),X)),
inference(transitivity,[status(thm)],[c160,c187]) ).
cnf(c189,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X)),
inference(substitution,[status(thm)],[c188]) ).
cnf(c190,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(op_d,X),
inference(congruence,[status(thm)],[c48]) ).
cnf(c191,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X)) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(op_d,X)),
inference(congruence,[status(thm)],[c190]) ).
cnf(c192,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(op_d,X)) = ld(op_d,ld(op_d,X)),
inference(congruence,[status(thm)],[c48]) ).
cnf(c193,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X)) = ld(op_d,ld(op_d,X)),
inference(transitivity,[status(thm)],[c191,c192]) ).
cnf(c194,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X) = ld(op_d,ld(op_d,X)),
inference(transitivity,[status(thm)],[c189,c193]) ).
cnf(c195,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),op_d),X) = ld(op_d,ld(op_d,X)),
inference(transitivity,[status(thm)],[c157,c194]) ).
cnf(c196,plain,
ld(mult(op_d,op_d),X) = ld(op_d,ld(op_d,X)),
inference(transitivity,[status(thm)],[c154,c195]) ).
cnf(c197,plain,
ld(mult(op_d,op_d),mult(op_d,mult(op_d,X))) = ld(op_d,ld(op_d,mult(op_d,mult(op_d,X)))),
inference(substitution,[status(thm)],[c196]) ).
cnf(c198,plain,
ld(op_d,mult(op_d,mult(op_d,X))) = mult(op_d,X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c199,plain,
ld(op_d,ld(op_d,mult(op_d,mult(op_d,X)))) = ld(op_d,mult(op_d,X)),
inference(congruence,[status(thm)],[c198]) ).
cnf(c200,plain,
ld(op_d,mult(op_d,X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c201,plain,
ld(op_d,ld(op_d,mult(op_d,mult(op_d,X)))) = X,
inference(transitivity,[status(thm)],[c199,c200]) ).
cnf(c202,plain,
ld(mult(op_d,op_d),mult(op_d,mult(op_d,X))) = X,
inference(transitivity,[status(thm)],[c197,c201]) ).
cnf(c203,plain,
X = ld(mult(op_d,op_d),mult(op_d,mult(op_d,X))),
inference(symmetry,[status(thm)],[c202]) ).
cnf(c204,plain,
mult(mult(op_d,op_d),X) = mult(mult(op_d,op_d),ld(mult(op_d,op_d),mult(op_d,mult(op_d,X)))),
inference(congruence,[status(thm)],[c203]) ).
cnf(c205,plain,
mult(mult(op_d,op_d),ld(mult(op_d,op_d),mult(op_d,mult(op_d,X)))) = mult(op_d,mult(op_d,X)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c206,plain,
mult(mult(op_d,op_d),X) = mult(op_d,mult(op_d,X)),
inference(transitivity,[status(thm)],[c204,c205]) ).
cnf(c207,plain,
ld(i(mult(op_d,op_d)),X) = mult(op_d,mult(op_d,X)),
inference(transitivity,[status(thm)],[c147,c206]) ).
cnf(c208,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = mult(op_d,mult(op_d,X)),
inference(transitivity,[status(thm)],[c145,c207]) ).
cnf(c209,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,op_d)) = mult(op_d,mult(op_d,mult(op_d,op_d))),
inference(substitution,[status(thm)],[c208]) ).
cnf(c210,plain,
mult(op_d,mult(op_d,mult(op_d,op_d))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,op_d)),
inference(symmetry,[status(thm)],[c209]) ).
cnf(c211,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,op_d)),X),
inference(congruence,[status(thm)],[c210]) ).
cnf(c212,plain,
mult(op_d,op_d) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(symmetry,[status(thm)],[c76]) ).
cnf(c213,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,op_d)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(congruence,[status(thm)],[c212]) ).
cnf(c214,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,op_d)),X) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X),
inference(congruence,[status(thm)],[c213]) ).
cnf(c215,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(substitution,[status(thm)],[c188]) ).
cnf(c216,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(mult(op_d,op_d),X),
inference(congruence,[status(thm)],[c76]) ).
cnf(c217,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_d),X)),
inference(congruence,[status(thm)],[c216]) ).
cnf(c218,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_d),X)) = ld(mult(op_d,op_d),ld(mult(op_d,op_d),X)),
inference(congruence,[status(thm)],[c76]) ).
cnf(c219,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,op_d),ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c217,c218]) ).
cnf(c220,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(mult(op_d,op_d),ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c215,c219]) ).
cnf(c221,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,op_d)),X) = ld(mult(op_d,op_d),ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c214,c220]) ).
cnf(c222,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X) = ld(mult(op_d,op_d),ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c211,c221]) ).
cnf(c223,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,X))))) = ld(mult(op_d,op_d),ld(mult(op_d,op_d),mult(op_d,mult(op_d,mult(op_d,mult(op_d,X)))))),
inference(substitution,[status(thm)],[c222]) ).
cnf(c224,plain,
ld(mult(op_d,op_d),mult(op_d,mult(op_d,mult(op_d,mult(op_d,X))))) = mult(op_d,mult(op_d,X)),
inference(substitution,[status(thm)],[c202]) ).
cnf(c225,plain,
ld(mult(op_d,op_d),ld(mult(op_d,op_d),mult(op_d,mult(op_d,mult(op_d,mult(op_d,X)))))) = ld(mult(op_d,op_d),mult(op_d,mult(op_d,X))),
inference(congruence,[status(thm)],[c224]) ).
cnf(c226,plain,
ld(mult(op_d,op_d),ld(mult(op_d,op_d),mult(op_d,mult(op_d,mult(op_d,mult(op_d,X)))))) = X,
inference(transitivity,[status(thm)],[c225,c202]) ).
cnf(c227,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,X))))) = X,
inference(transitivity,[status(thm)],[c223,c226]) ).
cnf(c228,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = op_d,
inference(substitution,[status(thm)],[c227]) ).
cnf(c229,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = i(op_d),
inference(congruence,[status(thm)],[c228]) ).
cnf(c230,plain,
i(op_d) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(symmetry,[status(thm)],[c50]) ).
cnf(c231,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(transitivity,[status(thm)],[c229,c230]) ).
cnf(c232,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(transitivity,[status(thm)],[c144,c231]) ).
cnf(c233,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(transitivity,[status(thm)],[c138,c232]) ).
cnf(c234,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(symmetry,[status(thm)],[c233]) ).
cnf(c235,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(congruence,[status(thm)],[c234]) ).
cnf(c236,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c132]) ).
cnf(c237,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = ld(ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(congruence,[status(thm)],[c236]) ).
cnf(c238,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c239,plain,
ld(i(X),X) = ld(i(X),i(i(X))),
inference(congruence,[status(thm)],[c238]) ).
cnf(c240,plain,
ld(ld(i(X2),X2),X) = ld(ld(i(X2),i(i(X2))),X),
inference(congruence,[status(thm)],[c239]) ).
cnf(c241,plain,
ld(ld(i(X2),i(i(X2))),X) = ld(i(i(X2)),ld(i(i(X2)),X)),
inference(substitution,[status(thm)],[c188]) ).
cnf(c242,plain,
ld(i(i(X2)),ld(i(i(X2)),X)) = ld(X2,ld(i(i(X2)),X)),
inference(congruence,[status(thm)],[c32]) ).
cnf(c243,plain,
ld(i(i(X2)),X) = ld(X2,X),
inference(congruence,[status(thm)],[c32]) ).
cnf(c244,plain,
ld(X2,ld(i(i(X2)),X)) = ld(X2,ld(X2,X)),
inference(congruence,[status(thm)],[c243]) ).
cnf(c245,plain,
ld(i(i(X2)),ld(i(i(X2)),X)) = ld(X2,ld(X2,X)),
inference(transitivity,[status(thm)],[c242,c244]) ).
cnf(c246,plain,
ld(ld(i(X2),i(i(X2))),X) = ld(X2,ld(X2,X)),
inference(transitivity,[status(thm)],[c241,c245]) ).
cnf(c247,plain,
ld(ld(i(X2),X2),X) = ld(X2,ld(X2,X)),
inference(transitivity,[status(thm)],[c240,c246]) ).
cnf(c248,plain,
ld(ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(substitution,[status(thm)],[c247]) ).
cnf(c249,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(transitivity,[status(thm)],[c237,c248]) ).
cnf(c250,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(transitivity,[status(thm)],[c235,c249]) ).
cnf(c251,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X))),
inference(substitution,[status(thm)],[c250]) ).
cnf(c252,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c253,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(congruence,[status(thm)],[c252]) ).
cnf(c254,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c251,c253]) ).
cnf(c255,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c137,c254]) ).
cnf(c256,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c134,c255]) ).
cnf(c257,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)),
inference(substitution,[status(thm)],[c256]) ).
cnf(c258,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c))),
inference(symmetry,[status(thm)],[c257]) ).
cnf(c259,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(substitution,[status(thm)],[c11]) ).
cnf(c260,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X))),
inference(symmetry,[status(thm)],[c259]) ).
cnf(c261,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(congruence,[status(thm)],[c132]) ).
cnf(c262,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(congruence,[status(thm)],[c132]) ).
cnf(c263,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(congruence,[status(thm)],[c262]) ).
cnf(c264,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(substitution,[status(thm)],[c188]) ).
cnf(c265,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(symmetry,[status(thm)],[c264]) ).
cnf(c266,plain,
i(mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(symmetry,[status(thm)],[c132]) ).
cnf(c267,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c266]) ).
cnf(c268,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(congruence,[status(thm)],[c267]) ).
cnf(c269,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = op_d,
inference(substitution,[status(thm)],[c227]) ).
cnf(c270,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(op_d,X),
inference(congruence,[status(thm)],[c269]) ).
cnf(c271,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(op_d,X),
inference(transitivity,[status(thm)],[c268,c270]) ).
cnf(c272,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(op_d,X),
inference(transitivity,[status(thm)],[c265,c271]) ).
cnf(c273,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(op_d,X),
inference(transitivity,[status(thm)],[c263,c272]) ).
cnf(c274,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(op_d,X),
inference(transitivity,[status(thm)],[c261,c273]) ).
cnf(c275,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X))) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(op_d,X)),
inference(congruence,[status(thm)],[c274]) ).
cnf(c276,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(op_d,X)) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c277,plain,
i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = i(i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c132]) ).
cnf(c278,plain,
i(i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(op_d,mult(op_d,mult(op_d,op_d))),
inference(substitution,[status(thm)],[c32]) ).
cnf(c279,plain,
i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(op_d,mult(op_d,mult(op_d,op_d))),
inference(transitivity,[status(thm)],[c277,c278]) ).
cnf(c280,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(op_d,X)),
inference(congruence,[status(thm)],[c279]) ).
cnf(c281,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(op_d,X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(op_d,X)),
inference(transitivity,[status(thm)],[c276,c280]) ).
cnf(c282,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(op_d,X)),
inference(transitivity,[status(thm)],[c275,c281]) ).
cnf(c283,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(op_d,X)),
inference(transitivity,[status(thm)],[c260,c282]) ).
cnf(c284,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(op_d,mult(op_d,X))),
inference(substitution,[status(thm)],[c283]) ).
cnf(c285,plain,
ld(op_d,mult(op_d,X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c286,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(op_d,mult(op_d,X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(congruence,[status(thm)],[c285]) ).
cnf(c287,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c284,c286]) ).
cnf(c288,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),op_c),
inference(substitution,[status(thm)],[c287]) ).
cnf(c289,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),op_c) = ld(mult(op_d,op_d),ld(mult(op_d,op_d),op_c)),
inference(substitution,[status(thm)],[c222]) ).
cnf(c290,plain,
i(i(mult(op_d,op_c))) = mult(op_d,op_c),
inference(substitution,[status(thm)],[c32]) ).
cnf(c291,plain,
mult(op_d,op_c) = i(i(mult(op_d,op_c))),
inference(symmetry,[status(thm)],[c290]) ).
cnf(c292,plain,
ld(mult(op_d,mult(op_d,op_d)),mult(op_d,op_c)) = ld(mult(op_d,mult(op_d,op_d)),i(i(mult(op_d,op_c)))),
inference(congruence,[status(thm)],[c291]) ).
cnf(c293,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(i(mult(op_d,mult(op_d,op_d))),X),
inference(congruence,[status(thm)],[c88]) ).
cnf(c294,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = i(ld(i(mult(op_d,mult(op_d,op_d))),X)),
inference(congruence,[status(thm)],[c293]) ).
cnf(c295,plain,
i(ld(i(mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,op_d)),i(X)),
inference(substitution,[status(thm)],[c97]) ).
cnf(c296,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,op_d)),i(X)),
inference(transitivity,[status(thm)],[c294,c295]) ).
cnf(c297,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c)))) = ld(mult(op_d,mult(op_d,op_d)),i(i(mult(op_d,op_c)))),
inference(substitution,[status(thm)],[c296]) ).
cnf(c298,plain,
ld(mult(op_d,mult(op_d,op_d)),i(i(mult(op_d,op_c)))) = i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c)))),
inference(symmetry,[status(thm)],[c297]) ).
cnf(c299,plain,
i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(substitution,[status(thm)],[c32]) ).
cnf(c300,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(symmetry,[status(thm)],[c299]) ).
cnf(c301,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,op_c))) = ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,op_c))),
inference(congruence,[status(thm)],[c300]) ).
cnf(c302,plain,
mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,op_c))) = ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,op_c))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c303,plain,
ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,op_c))) = mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,op_c))),
inference(symmetry,[status(thm)],[c302]) ).
cnf(c304,plain,
i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_c))) = mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,op_c))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c305,plain,
mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,op_c))) = i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_c))),
inference(symmetry,[status(thm)],[c304]) ).
cnf(c306,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_c)) = op_c,
inference(substitution,[status(thm)],[c53]) ).
cnf(c307,plain,
i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_c))) = i(op_c),
inference(congruence,[status(thm)],[c306]) ).
cnf(c308,plain,
i(i(mult(op_c,mult(op_c,op_c)))) = mult(op_c,mult(op_c,op_c)),
inference(substitution,[status(thm)],[c32]) ).
cnf(c309,plain,
mult(op_c,mult(op_c,op_c)) = i(i(mult(op_c,mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c308]) ).
cnf(c310,plain,
i(i(mult(op_c,mult(op_c,op_c)))) = i(op_c),
inference(congruence,[status(thm)],[c107]) ).
cnf(c311,plain,
mult(op_c,mult(op_c,op_c)) = i(op_c),
inference(transitivity,[status(thm)],[c309,c310]) ).
cnf(c312,plain,
i(op_c) = mult(op_c,mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c311]) ).
cnf(c313,plain,
i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_c))) = mult(op_c,mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c307,c312]) ).
cnf(c314,plain,
mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,op_c))) = mult(op_c,mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c305,c313]) ).
cnf(c315,plain,
ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,op_c))) = mult(op_c,mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c303,c314]) ).
cnf(c316,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,op_c))) = mult(op_c,mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c301,c315]) ).
cnf(c317,plain,
mult(op_c,mult(op_c,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,op_c))),
inference(symmetry,[status(thm)],[c316]) ).
cnf(c318,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,op_c)))),
inference(congruence,[status(thm)],[c317]) ).
cnf(c319,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,op_c))))),
inference(congruence,[status(thm)],[c318]) ).
cnf(c320,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(i(op_d),X),
inference(congruence,[status(thm)],[c50]) ).
cnf(c321,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(op_d),X)),
inference(congruence,[status(thm)],[c320]) ).
cnf(c322,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(op_d),X))),
inference(congruence,[status(thm)],[c321]) ).
cnf(c323,plain,
mult(op_d,X) = ld(i(op_d),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c324,plain,
ld(i(op_d),X) = mult(op_d,X),
inference(symmetry,[status(thm)],[c323]) ).
cnf(c325,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(op_d),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,X)),
inference(congruence,[status(thm)],[c324]) ).
cnf(c326,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(op_d),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,X))),
inference(congruence,[status(thm)],[c325]) ).
cnf(c327,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,X)) = ld(i(op_d),mult(op_d,X)),
inference(congruence,[status(thm)],[c50]) ).
cnf(c328,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(op_d),mult(op_d,X))),
inference(congruence,[status(thm)],[c327]) ).
cnf(c329,plain,
mult(op_d,mult(op_d,X)) = ld(i(op_d),mult(op_d,X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c330,plain,
ld(i(op_d),mult(op_d,X)) = mult(op_d,mult(op_d,X)),
inference(symmetry,[status(thm)],[c329]) ).
cnf(c331,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(op_d),mult(op_d,X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,X))),
inference(congruence,[status(thm)],[c330]) ).
cnf(c332,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,X))) = ld(i(op_d),mult(op_d,mult(op_d,X))),
inference(congruence,[status(thm)],[c50]) ).
cnf(c333,plain,
mult(op_d,mult(op_d,mult(op_d,X))) = ld(i(op_d),mult(op_d,mult(op_d,X))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c334,plain,
ld(i(op_d),mult(op_d,mult(op_d,X))) = mult(op_d,mult(op_d,mult(op_d,X))),
inference(symmetry,[status(thm)],[c333]) ).
cnf(c335,plain,
mult(op_d,mult(op_d,mult(op_d,X))) = mult(mult(op_d,mult(op_d,op_d)),X),
inference(substitution,[status(thm)],[c174]) ).
cnf(c336,plain,
mult(mult(op_d,mult(op_d,op_d)),X) = ld(i(mult(op_d,mult(op_d,op_d))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c337,plain,
i(mult(op_d,mult(op_d,op_d))) = mult(i(op_d),i(mult(op_d,op_d))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c338,plain,
ld(i(mult(op_d,mult(op_d,op_d))),X) = ld(mult(i(op_d),i(mult(op_d,op_d))),X),
inference(congruence,[status(thm)],[c337]) ).
cnf(c339,plain,
mult(i(op_d),i(mult(op_d,op_d))) = ld(i(i(op_d)),i(mult(op_d,op_d))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c340,plain,
ld(mult(i(op_d),i(mult(op_d,op_d))),X) = ld(ld(i(i(op_d)),i(mult(op_d,op_d))),X),
inference(congruence,[status(thm)],[c339]) ).
cnf(c341,plain,
i(i(op_d)) = op_d,
inference(substitution,[status(thm)],[c32]) ).
cnf(c342,plain,
ld(i(i(op_d)),i(mult(op_d,op_d))) = ld(op_d,i(mult(op_d,op_d))),
inference(congruence,[status(thm)],[c341]) ).
cnf(c343,plain,
ld(ld(i(i(op_d)),i(mult(op_d,op_d))),X) = ld(ld(op_d,i(mult(op_d,op_d))),X),
inference(congruence,[status(thm)],[c342]) ).
cnf(c344,plain,
i(mult(op_d,op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c78]) ).
cnf(c345,plain,
ld(op_d,i(mult(op_d,op_d))) = ld(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(congruence,[status(thm)],[c344]) ).
cnf(c346,plain,
ld(ld(op_d,i(mult(op_d,op_d))),X) = ld(ld(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X),
inference(congruence,[status(thm)],[c345]) ).
cnf(c347,plain,
ld(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c348,plain,
ld(ld(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(congruence,[status(thm)],[c347]) ).
cnf(c349,plain,
ld(ld(op_d,i(mult(op_d,op_d))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c346,c348]) ).
cnf(c350,plain,
ld(ld(i(i(op_d)),i(mult(op_d,op_d))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c343,c349]) ).
cnf(c351,plain,
ld(mult(i(op_d),i(mult(op_d,op_d))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c340,c350]) ).
cnf(c352,plain,
ld(i(mult(op_d,mult(op_d,op_d))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c338,c351]) ).
cnf(c353,plain,
mult(mult(op_d,mult(op_d,op_d)),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c336,c352]) ).
cnf(c354,plain,
mult(op_d,mult(op_d,mult(op_d,X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c335,c353]) ).
cnf(c355,plain,
ld(i(op_d),mult(op_d,mult(op_d,X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c334,c354]) ).
cnf(c356,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c332,c355]) ).
cnf(c357,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(op_d),mult(op_d,X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c331,c356]) ).
cnf(c358,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c328,c357]) ).
cnf(c359,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(op_d),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c326,c358]) ).
cnf(c360,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c322,c359]) ).
cnf(c361,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,op_c))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c))),
inference(substitution,[status(thm)],[c360]) ).
cnf(c362,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c319,c361]) ).
cnf(c363,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c362]) ).
cnf(c364,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c)))) = i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c))))),
inference(congruence,[status(thm)],[c363]) ).
cnf(c365,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c366,plain,
ld(X2,X) = ld(i(i(X2)),X),
inference(congruence,[status(thm)],[c365]) ).
cnf(c367,plain,
i(ld(X2,X)) = i(ld(i(i(X2)),X)),
inference(congruence,[status(thm)],[c366]) ).
cnf(c368,plain,
i(ld(i(i(X2)),X)) = ld(i(X2),i(X)),
inference(substitution,[status(thm)],[c97]) ).
cnf(c369,plain,
i(ld(X2,X)) = ld(i(X2),i(X)),
inference(transitivity,[status(thm)],[c367,c368]) ).
cnf(c370,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c))))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c))))),
inference(substitution,[status(thm)],[c369]) ).
cnf(c371,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c))))) = ld(op_d,i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c))))),
inference(congruence,[status(thm)],[c48]) ).
cnf(c372,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c)))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_c,mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c369]) ).
cnf(c373,plain,
ld(op_d,i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c))))) = ld(op_d,ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_c,mult(op_c,op_c))))),
inference(congruence,[status(thm)],[c372]) ).
cnf(c374,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_c,mult(op_c,op_c)))) = ld(op_d,i(mult(op_c,mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c48]) ).
cnf(c375,plain,
ld(op_d,ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_c,mult(op_c,op_c))))) = ld(op_d,ld(op_d,i(mult(op_c,mult(op_c,op_c))))),
inference(congruence,[status(thm)],[c374]) ).
cnf(c376,plain,
ld(mult(op_d,op_d),i(mult(op_c,mult(op_c,op_c)))) = ld(op_d,ld(op_d,i(mult(op_c,mult(op_c,op_c))))),
inference(substitution,[status(thm)],[c196]) ).
cnf(c377,plain,
ld(op_d,ld(op_d,i(mult(op_c,mult(op_c,op_c))))) = ld(mult(op_d,op_d),i(mult(op_c,mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c376]) ).
cnf(c378,plain,
ld(mult(op_d,op_d),i(mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,op_d),op_c),
inference(congruence,[status(thm)],[c107]) ).
cnf(c379,plain,
ld(op_d,ld(op_d,i(mult(op_c,mult(op_c,op_c))))) = ld(mult(op_d,op_d),op_c),
inference(transitivity,[status(thm)],[c377,c378]) ).
cnf(c380,plain,
ld(op_d,ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_c,mult(op_c,op_c))))) = ld(mult(op_d,op_d),op_c),
inference(transitivity,[status(thm)],[c375,c379]) ).
cnf(c381,plain,
ld(op_d,i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c))))) = ld(mult(op_d,op_d),op_c),
inference(transitivity,[status(thm)],[c373,c380]) ).
cnf(c382,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c))))) = ld(mult(op_d,op_d),op_c),
inference(transitivity,[status(thm)],[c371,c381]) ).
cnf(c383,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c))))) = ld(mult(op_d,op_d),op_c),
inference(transitivity,[status(thm)],[c370,c382]) ).
cnf(c384,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c)))) = ld(mult(op_d,op_d),op_c),
inference(transitivity,[status(thm)],[c364,c383]) ).
cnf(c385,plain,
ld(mult(op_d,mult(op_d,op_d)),i(i(mult(op_d,op_c)))) = ld(mult(op_d,op_d),op_c),
inference(transitivity,[status(thm)],[c298,c384]) ).
cnf(c386,plain,
ld(mult(op_d,mult(op_d,op_d)),mult(op_d,op_c)) = ld(mult(op_d,op_d),op_c),
inference(transitivity,[status(thm)],[c292,c385]) ).
cnf(c387,plain,
ld(mult(op_d,op_d),op_c) = ld(mult(op_d,mult(op_d,op_d)),mult(op_d,op_c)),
inference(symmetry,[status(thm)],[c386]) ).
cnf(c388,plain,
ld(mult(op_d,op_d),ld(mult(op_d,op_d),op_c)) = ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,op_d)),mult(op_d,op_c))),
inference(congruence,[status(thm)],[c387]) ).
cnf(c389,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),op_c) = ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,op_d)),mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c289,c388]) ).
cnf(c390,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c)) = ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,op_d)),mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c288,c389]) ).
cnf(c391,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,op_d)),mult(op_d,op_c)))),
inference(congruence,[status(thm)],[c390]) ).
cnf(c392,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_d),X)) = ld(i(op_d),ld(mult(op_d,op_d),X)),
inference(congruence,[status(thm)],[c50]) ).
cnf(c393,plain,
mult(op_d,ld(mult(op_d,op_d),X)) = ld(i(op_d),ld(mult(op_d,op_d),X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c394,plain,
ld(i(op_d),ld(mult(op_d,op_d),X)) = mult(op_d,ld(mult(op_d,op_d),X)),
inference(symmetry,[status(thm)],[c393]) ).
cnf(c395,plain,
mult(op_d,ld(mult(op_d,op_d),X)) = mult(op_d,ld(op_d,ld(op_d,X))),
inference(congruence,[status(thm)],[c196]) ).
cnf(c396,plain,
mult(op_d,ld(op_d,ld(op_d,X))) = ld(op_d,X),
inference(substitution,[status(thm)],[c11]) ).
cnf(c397,plain,
mult(op_d,ld(mult(op_d,op_d),X)) = ld(op_d,X),
inference(transitivity,[status(thm)],[c395,c396]) ).
cnf(c398,plain,
ld(i(op_d),ld(mult(op_d,op_d),X)) = ld(op_d,X),
inference(transitivity,[status(thm)],[c394,c397]) ).
cnf(c399,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_d),X)) = ld(op_d,X),
inference(transitivity,[status(thm)],[c392,c398]) ).
cnf(c400,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,op_d)),mult(op_d,op_c)))) = ld(op_d,ld(mult(op_d,mult(op_d,op_d)),mult(op_d,op_c))),
inference(substitution,[status(thm)],[c399]) ).
cnf(c401,plain,
ld(op_d,ld(mult(op_d,mult(op_d,op_d)),mult(op_d,op_c))) = ld(op_d,ld(mult(op_d,op_d),op_c)),
inference(congruence,[status(thm)],[c386]) ).
cnf(c402,plain,
op_c = i(mult(op_c,mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c107]) ).
cnf(c403,plain,
ld(mult(op_d,op_d),op_c) = ld(mult(op_d,op_d),i(mult(op_c,mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c402]) ).
cnf(c404,plain,
ld(op_d,ld(mult(op_d,op_d),op_c)) = ld(op_d,ld(mult(op_d,op_d),i(mult(op_c,mult(op_c,op_c))))),
inference(congruence,[status(thm)],[c403]) ).
cnf(c405,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(i(mult(op_d,op_d)),X),
inference(congruence,[status(thm)],[c78]) ).
cnf(c406,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = i(ld(i(mult(op_d,op_d)),X)),
inference(congruence,[status(thm)],[c405]) ).
cnf(c407,plain,
i(ld(i(mult(op_d,op_d)),X)) = ld(mult(op_d,op_d),i(X)),
inference(substitution,[status(thm)],[c97]) ).
cnf(c408,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(mult(op_d,op_d),i(X)),
inference(transitivity,[status(thm)],[c406,c407]) ).
cnf(c409,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,op_d),i(mult(op_c,mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c408]) ).
cnf(c410,plain,
ld(mult(op_d,op_d),i(mult(op_c,mult(op_c,op_c)))) = i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c409]) ).
cnf(c411,plain,
ld(op_d,ld(mult(op_d,op_d),i(mult(op_c,mult(op_c,op_c))))) = ld(op_d,i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c))))),
inference(congruence,[status(thm)],[c410]) ).
cnf(c412,plain,
op_d = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c48]) ).
cnf(c413,plain,
ld(op_d,i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c))))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c))))),
inference(congruence,[status(thm)],[c412]) ).
cnf(c414,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c))))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c))))),
inference(substitution,[status(thm)],[c369]) ).
cnf(c415,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c))))) = i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c))))),
inference(symmetry,[status(thm)],[c414]) ).
cnf(c416,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(op_c)),
inference(congruence,[status(thm)],[c311]) ).
cnf(c417,plain,
i(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(X)),
inference(substitution,[status(thm)],[c97]) ).
cnf(c418,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(X)) = i(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(symmetry,[status(thm)],[c417]) ).
cnf(c419,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(mult(op_d,op_d),X),
inference(congruence,[status(thm)],[c76]) ).
cnf(c420,plain,
i(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = i(ld(mult(op_d,op_d),X)),
inference(congruence,[status(thm)],[c419]) ).
cnf(c421,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(X)) = i(ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c418,c420]) ).
cnf(c422,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(op_c)) = i(ld(mult(op_d,op_d),op_c)),
inference(substitution,[status(thm)],[c421]) ).
cnf(c423,plain,
ld(mult(op_d,op_d),op_c) = ld(mult(op_d,mult(op_d,op_d)),mult(op_d,op_c)),
inference(symmetry,[status(thm)],[c386]) ).
cnf(c424,plain,
i(ld(mult(op_d,op_d),op_c)) = i(ld(mult(op_d,mult(op_d,op_d)),mult(op_d,op_c))),
inference(congruence,[status(thm)],[c423]) ).
cnf(c425,plain,
i(ld(mult(op_d,mult(op_d,op_d)),mult(op_d,op_c))) = ld(i(mult(op_d,mult(op_d,op_d))),i(mult(op_d,op_c))),
inference(substitution,[status(thm)],[c369]) ).
cnf(c426,plain,
i(mult(op_d,mult(op_d,op_d))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c88]) ).
cnf(c427,plain,
ld(i(mult(op_d,mult(op_d,op_d))),i(mult(op_d,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c))),
inference(congruence,[status(thm)],[c426]) ).
cnf(c428,plain,
i(ld(mult(op_d,mult(op_d,op_d)),mult(op_d,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c425,c427]) ).
cnf(c429,plain,
i(ld(mult(op_d,op_d),op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c424,c428]) ).
cnf(c430,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c422,c429]) ).
cnf(c431,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c416,c430]) ).
cnf(c432,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c)))),
inference(congruence,[status(thm)],[c431]) ).
cnf(c433,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(symmetry,[status(thm)],[c360]) ).
cnf(c434,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))),
inference(congruence,[status(thm)],[c433]) ).
cnf(c435,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(substitution,[status(thm)],[c360]) ).
cnf(c436,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(transitivity,[status(thm)],[c434,c435]) ).
cnf(c437,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,op_c)))),
inference(substitution,[status(thm)],[c436]) ).
cnf(c438,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))),
inference(congruence,[status(thm)],[c316]) ).
cnf(c439,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))),
inference(transitivity,[status(thm)],[c437,c438]) ).
cnf(c440,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))),
inference(transitivity,[status(thm)],[c432,c439]) ).
cnf(c441,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c))))) = i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c440]) ).
cnf(c442,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,op_d)),i(mult(op_c,mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c296]) ).
cnf(c443,plain,
ld(mult(op_d,mult(op_d,op_d)),i(mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,op_d)),op_c),
inference(congruence,[status(thm)],[c107]) ).
cnf(c444,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,op_d)),op_c),
inference(transitivity,[status(thm)],[c442,c443]) ).
cnf(c445,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c))))) = ld(mult(op_d,mult(op_d,op_d)),op_c),
inference(transitivity,[status(thm)],[c441,c444]) ).
cnf(c446,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c))))) = ld(mult(op_d,mult(op_d,op_d)),op_c),
inference(transitivity,[status(thm)],[c415,c445]) ).
cnf(c447,plain,
ld(op_d,i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,mult(op_c,op_c))))) = ld(mult(op_d,mult(op_d,op_d)),op_c),
inference(transitivity,[status(thm)],[c413,c446]) ).
cnf(c448,plain,
ld(op_d,ld(mult(op_d,op_d),i(mult(op_c,mult(op_c,op_c))))) = ld(mult(op_d,mult(op_d,op_d)),op_c),
inference(transitivity,[status(thm)],[c411,c447]) ).
cnf(c449,plain,
ld(op_d,ld(mult(op_d,op_d),op_c)) = ld(mult(op_d,mult(op_d,op_d)),op_c),
inference(transitivity,[status(thm)],[c404,c448]) ).
cnf(c450,plain,
ld(op_d,ld(mult(op_d,mult(op_d,op_d)),mult(op_d,op_c))) = ld(mult(op_d,mult(op_d,op_d)),op_c),
inference(transitivity,[status(thm)],[c401,c449]) ).
cnf(c451,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,op_d)),mult(op_d,op_c)))) = ld(mult(op_d,mult(op_d,op_d)),op_c),
inference(transitivity,[status(thm)],[c400,c450]) ).
cnf(c452,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c))) = ld(mult(op_d,mult(op_d,op_d)),op_c),
inference(transitivity,[status(thm)],[c391,c451]) ).
cnf(c453,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)) = ld(mult(op_d,mult(op_d,op_d)),op_c),
inference(transitivity,[status(thm)],[c258,c452]) ).
cnf(c454,plain,
ld(mult(op_d,mult(op_d,op_d)),op_c) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)),
inference(symmetry,[status(thm)],[c453]) ).
cnf(c455,plain,
i(ld(mult(op_d,mult(op_d,op_d)),op_c)) = i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))),
inference(congruence,[status(thm)],[c454]) ).
cnf(c456,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c))),
inference(substitution,[status(thm)],[c369]) ).
cnf(c457,plain,
i(mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(symmetry,[status(thm)],[c132]) ).
cnf(c458,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c))),
inference(congruence,[status(thm)],[c457]) ).
cnf(c459,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c456,c458]) ).
cnf(c460,plain,
i(ld(mult(op_d,mult(op_d,op_d)),op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c455,c459]) ).
cnf(c461,plain,
ld(i(mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c111,c460]) ).
cnf(c462,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c89,c461]) ).
cnf(c463,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c)))) = rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c)))),
inference(congruence,[status(thm)],[c462]) ).
cnf(c464,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(congruence,[status(thm)],[c132]) ).
cnf(c465,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(congruence,[status(thm)],[c464]) ).
cnf(c466,plain,
ld(i(X2),X) = mult(X2,X),
inference(symmetry,[status(thm)],[c8]) ).
cnf(c467,plain,
ld(X2,ld(i(X2),X)) = ld(X2,mult(X2,X)),
inference(congruence,[status(thm)],[c466]) ).
cnf(c468,plain,
ld(X2,mult(X2,X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c469,plain,
ld(X2,ld(i(X2),X)) = X,
inference(transitivity,[status(thm)],[c467,c468]) ).
cnf(c470,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = X,
inference(substitution,[status(thm)],[c469]) ).
cnf(c471,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = X,
inference(transitivity,[status(thm)],[c465,c470]) ).
cnf(c472,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)))) = rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(substitution,[status(thm)],[c471]) ).
cnf(c473,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)))),
inference(symmetry,[status(thm)],[c472]) ).
cnf(c474,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c475,plain,
ld(X2,X) = ld(i(i(X2)),X),
inference(congruence,[status(thm)],[c474]) ).
cnf(c476,plain,
rd(X2,ld(X2,X)) = rd(X2,ld(i(i(X2)),X)),
inference(congruence,[status(thm)],[c475]) ).
cnf(c477,plain,
ld(X2,rd(X2,ld(X2,X))) = ld(X2,rd(X2,ld(i(i(X2)),X))),
inference(congruence,[status(thm)],[c476]) ).
cnf(c478,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c479,plain,
ld(X2,X) = ld(i(i(X2)),X),
inference(congruence,[status(thm)],[c478]) ).
cnf(c480,plain,
rd(ld(X2,X),X) = rd(ld(i(i(X2)),X),X),
inference(congruence,[status(thm)],[c479]) ).
cnf(c481,plain,
ld(i(X2),X) = mult(X2,X),
inference(symmetry,[status(thm)],[c8]) ).
cnf(c482,plain,
rd(ld(i(X2),X),X) = rd(mult(X2,X),X),
inference(congruence,[status(thm)],[c481]) ).
cnf(c483,plain,
rd(mult(X2,X),X) = X2,
inference(substitution,[status(thm)],[c36]) ).
cnf(c484,plain,
rd(ld(i(X2),X),X) = X2,
inference(transitivity,[status(thm)],[c482,c483]) ).
cnf(c485,plain,
rd(ld(i(i(X2)),X),X) = i(X2),
inference(substitution,[status(thm)],[c484]) ).
cnf(c486,plain,
rd(ld(X2,X),X) = i(X2),
inference(transitivity,[status(thm)],[c480,c485]) ).
cnf(c487,plain,
rd(ld(rd(X2,X),X2),X2) = i(rd(X2,X)),
inference(substitution,[status(thm)],[c486]) ).
cnf(c488,plain,
i(rd(X2,X)) = rd(ld(rd(X2,X),X2),X2),
inference(symmetry,[status(thm)],[c487]) ).
cnf(c489,axiom,
mult(rd(A2,B2),B2) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
cnf(c490,plain,
mult(rd(X2,X),X) = X2,
inference(substitution,[status(thm)],[c489]) ).
cnf(c491,plain,
X2 = mult(rd(X2,X),X),
inference(symmetry,[status(thm)],[c490]) ).
cnf(c492,plain,
ld(rd(X2,X),X2) = ld(rd(X2,X),mult(rd(X2,X),X)),
inference(congruence,[status(thm)],[c491]) ).
cnf(c493,plain,
ld(rd(X2,X),mult(rd(X2,X),X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c494,plain,
ld(rd(X2,X),X2) = X,
inference(transitivity,[status(thm)],[c492,c493]) ).
cnf(c495,plain,
rd(ld(rd(X2,X),X2),X2) = rd(X,X2),
inference(congruence,[status(thm)],[c494]) ).
cnf(c496,plain,
i(rd(X2,X)) = rd(X,X2),
inference(transitivity,[status(thm)],[c488,c495]) ).
cnf(c497,plain,
rd(X,X2) = i(rd(X2,X)),
inference(symmetry,[status(thm)],[c496]) ).
cnf(c498,plain,
ld(rd(X,X2),ld(X2,X3)) = ld(i(rd(X2,X)),ld(X2,X3)),
inference(congruence,[status(thm)],[c497]) ).
cnf(c499,plain,
ld(X3,ld(rd(X2,X3),ld(X3,X))) = ld(X3,ld(i(rd(X3,X2)),ld(X3,X))),
inference(congruence,[status(thm)],[c498]) ).
cnf(c500,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c501,plain,
ld(X,X2) = ld(X,i(i(X2))),
inference(congruence,[status(thm)],[c500]) ).
cnf(c502,plain,
ld(i(X2),ld(X,X2)) = ld(i(X2),ld(X,i(i(X2)))),
inference(congruence,[status(thm)],[c501]) ).
cnf(c503,plain,
ld(ld(i(X3),ld(X2,X3)),X) = ld(ld(i(X3),ld(X2,i(i(X3)))),X),
inference(congruence,[status(thm)],[c502]) ).
cnf(c504,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c505,plain,
ld(X,i(X2)) = ld(i(i(X)),i(X2)),
inference(congruence,[status(thm)],[c504]) ).
cnf(c506,plain,
ld(X2,ld(X,i(X2))) = ld(X2,ld(i(i(X)),i(X2))),
inference(congruence,[status(thm)],[c505]) ).
cnf(c507,plain,
ld(ld(X3,ld(X2,i(X3))),X) = ld(ld(X3,ld(i(i(X2)),i(X3))),X),
inference(congruence,[status(thm)],[c506]) ).
cnf(c508,plain,
mult(i(X),i(X2)) = ld(i(i(X)),i(X2)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c509,plain,
ld(i(i(X)),i(X2)) = mult(i(X),i(X2)),
inference(symmetry,[status(thm)],[c508]) ).
cnf(c510,plain,
ld(X2,ld(i(i(X)),i(X2))) = ld(X2,mult(i(X),i(X2))),
inference(congruence,[status(thm)],[c509]) ).
cnf(c511,plain,
ld(ld(X3,ld(i(i(X2)),i(X3))),X) = ld(ld(X3,mult(i(X2),i(X3))),X),
inference(congruence,[status(thm)],[c510]) ).
cnf(c512,plain,
i(mult(X,X2)) = mult(i(X),i(X2)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c513,plain,
mult(i(X),i(X2)) = i(mult(X,X2)),
inference(symmetry,[status(thm)],[c512]) ).
cnf(c514,plain,
ld(X2,mult(i(X),i(X2))) = ld(X2,i(mult(X,X2))),
inference(congruence,[status(thm)],[c513]) ).
cnf(c515,plain,
ld(ld(X3,mult(i(X2),i(X3))),X) = ld(ld(X3,i(mult(X2,X3))),X),
inference(congruence,[status(thm)],[c514]) ).
cnf(c516,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c517,plain,
ld(X2,i(mult(X,X2))) = ld(i(i(X2)),i(mult(X,X2))),
inference(congruence,[status(thm)],[c516]) ).
cnf(c518,plain,
ld(ld(X3,i(mult(X2,X3))),X) = ld(ld(i(i(X3)),i(mult(X2,X3))),X),
inference(congruence,[status(thm)],[c517]) ).
cnf(c519,plain,
mult(i(X2),i(mult(X,X2))) = ld(i(i(X2)),i(mult(X,X2))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c520,plain,
ld(i(i(X2)),i(mult(X,X2))) = mult(i(X2),i(mult(X,X2))),
inference(symmetry,[status(thm)],[c519]) ).
cnf(c521,plain,
ld(ld(i(i(X3)),i(mult(X2,X3))),X) = ld(mult(i(X3),i(mult(X2,X3))),X),
inference(congruence,[status(thm)],[c520]) ).
cnf(c522,plain,
i(mult(X2,mult(X,X2))) = mult(i(X2),i(mult(X,X2))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c523,plain,
mult(i(X2),i(mult(X,X2))) = i(mult(X2,mult(X,X2))),
inference(symmetry,[status(thm)],[c522]) ).
cnf(c524,plain,
ld(mult(i(X3),i(mult(X2,X3))),X) = ld(i(mult(X3,mult(X2,X3))),X),
inference(congruence,[status(thm)],[c523]) ).
cnf(c525,plain,
mult(mult(X3,mult(X2,X3)),X) = ld(i(mult(X3,mult(X2,X3))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c526,plain,
ld(i(mult(X3,mult(X2,X3))),X) = mult(mult(X3,mult(X2,X3)),X),
inference(symmetry,[status(thm)],[c525]) ).
cnf(c527,plain,
mult(X3,mult(X2,mult(X3,X))) = mult(mult(X3,mult(X2,X3)),X),
inference(substitution,[status(thm)],[c174]) ).
cnf(c528,plain,
mult(mult(X3,mult(X2,X3)),X) = mult(X3,mult(X2,mult(X3,X))),
inference(symmetry,[status(thm)],[c527]) ).
cnf(c529,plain,
mult(X3,mult(X2,mult(X3,X))) = ld(i(X3),mult(X2,mult(X3,X))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c530,plain,
mult(X2,mult(X3,X)) = ld(i(X2),mult(X3,X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c531,plain,
ld(i(X3),mult(X2,mult(X3,X))) = ld(i(X3),ld(i(X2),mult(X3,X))),
inference(congruence,[status(thm)],[c530]) ).
cnf(c532,plain,
ld(i(X2),mult(X3,X)) = ld(i(X2),ld(i(X3),X)),
inference(congruence,[status(thm)],[c8]) ).
cnf(c533,plain,
ld(i(X3),ld(i(X2),mult(X3,X))) = ld(i(X3),ld(i(X2),ld(i(X3),X))),
inference(congruence,[status(thm)],[c532]) ).
cnf(c534,plain,
ld(i(X3),mult(X2,mult(X3,X))) = ld(i(X3),ld(i(X2),ld(i(X3),X))),
inference(transitivity,[status(thm)],[c531,c533]) ).
cnf(c535,plain,
mult(X3,mult(X2,mult(X3,X))) = ld(i(X3),ld(i(X2),ld(i(X3),X))),
inference(transitivity,[status(thm)],[c529,c534]) ).
cnf(c536,plain,
mult(mult(X3,mult(X2,X3)),X) = ld(i(X3),ld(i(X2),ld(i(X3),X))),
inference(transitivity,[status(thm)],[c528,c535]) ).
cnf(c537,plain,
ld(i(mult(X3,mult(X2,X3))),X) = ld(i(X3),ld(i(X2),ld(i(X3),X))),
inference(transitivity,[status(thm)],[c526,c536]) ).
cnf(c538,plain,
ld(mult(i(X3),i(mult(X2,X3))),X) = ld(i(X3),ld(i(X2),ld(i(X3),X))),
inference(transitivity,[status(thm)],[c524,c537]) ).
cnf(c539,plain,
ld(ld(i(i(X3)),i(mult(X2,X3))),X) = ld(i(X3),ld(i(X2),ld(i(X3),X))),
inference(transitivity,[status(thm)],[c521,c538]) ).
cnf(c540,plain,
ld(ld(X3,i(mult(X2,X3))),X) = ld(i(X3),ld(i(X2),ld(i(X3),X))),
inference(transitivity,[status(thm)],[c518,c539]) ).
cnf(c541,plain,
ld(ld(X3,mult(i(X2),i(X3))),X) = ld(i(X3),ld(i(X2),ld(i(X3),X))),
inference(transitivity,[status(thm)],[c515,c540]) ).
cnf(c542,plain,
ld(ld(X3,ld(i(i(X2)),i(X3))),X) = ld(i(X3),ld(i(X2),ld(i(X3),X))),
inference(transitivity,[status(thm)],[c511,c541]) ).
cnf(c543,plain,
ld(ld(X3,ld(X2,i(X3))),X) = ld(i(X3),ld(i(X2),ld(i(X3),X))),
inference(transitivity,[status(thm)],[c507,c542]) ).
cnf(c544,plain,
ld(ld(i(X3),ld(X2,i(i(X3)))),X) = ld(i(i(X3)),ld(i(X2),ld(i(i(X3)),X))),
inference(substitution,[status(thm)],[c543]) ).
cnf(c545,plain,
ld(i(i(X3)),ld(i(X2),ld(i(i(X3)),X))) = ld(X3,ld(i(X2),ld(i(i(X3)),X))),
inference(congruence,[status(thm)],[c32]) ).
cnf(c546,plain,
ld(i(i(X2)),X) = ld(X2,X),
inference(congruence,[status(thm)],[c32]) ).
cnf(c547,plain,
ld(i(X2),ld(i(i(X3)),X)) = ld(i(X2),ld(X3,X)),
inference(congruence,[status(thm)],[c546]) ).
cnf(c548,plain,
ld(X3,ld(i(X2),ld(i(i(X3)),X))) = ld(X3,ld(i(X2),ld(X3,X))),
inference(congruence,[status(thm)],[c547]) ).
cnf(c549,plain,
ld(i(i(X3)),ld(i(X2),ld(i(i(X3)),X))) = ld(X3,ld(i(X2),ld(X3,X))),
inference(transitivity,[status(thm)],[c545,c548]) ).
cnf(c550,plain,
ld(ld(i(X3),ld(X2,i(i(X3)))),X) = ld(X3,ld(i(X2),ld(X3,X))),
inference(transitivity,[status(thm)],[c544,c549]) ).
cnf(c551,plain,
ld(ld(i(X3),ld(X2,X3)),X) = ld(X3,ld(i(X2),ld(X3,X))),
inference(transitivity,[status(thm)],[c503,c550]) ).
cnf(c552,plain,
ld(ld(i(X3),ld(rd(X3,X2),X3)),X) = ld(X3,ld(i(rd(X3,X2)),ld(X3,X))),
inference(substitution,[status(thm)],[c551]) ).
cnf(c553,plain,
ld(X3,ld(i(rd(X3,X2)),ld(X3,X))) = ld(ld(i(X3),ld(rd(X3,X2),X3)),X),
inference(symmetry,[status(thm)],[c552]) ).
cnf(c554,plain,
ld(i(X2),ld(rd(X2,X),X2)) = ld(i(X2),X),
inference(congruence,[status(thm)],[c494]) ).
cnf(c555,plain,
ld(ld(i(X3),ld(rd(X3,X2),X3)),X) = ld(ld(i(X3),X2),X),
inference(congruence,[status(thm)],[c554]) ).
cnf(c556,plain,
ld(X3,ld(i(rd(X3,X2)),ld(X3,X))) = ld(ld(i(X3),X2),X),
inference(transitivity,[status(thm)],[c553,c555]) ).
cnf(c557,plain,
ld(X3,ld(rd(X2,X3),ld(X3,X))) = ld(ld(i(X3),X2),X),
inference(transitivity,[status(thm)],[c499,c556]) ).
cnf(c558,plain,
ld(X2,ld(rd(X,X2),ld(X2,X2))) = ld(ld(i(X2),X),X2),
inference(substitution,[status(thm)],[c557]) ).
cnf(c559,plain,
ld(ld(i(X2),X),X2) = ld(X2,ld(rd(X,X2),ld(X2,X2))),
inference(symmetry,[status(thm)],[c558]) ).
cnf(c560,plain,
ld(X,mult(X,unit)) = unit,
inference(substitution,[status(thm)],[c2]) ).
cnf(c561,plain,
unit = ld(X,mult(X,unit)),
inference(symmetry,[status(thm)],[c560]) ).
cnf(c562,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c18]) ).
cnf(c563,plain,
ld(X,mult(X,unit)) = ld(X,X),
inference(congruence,[status(thm)],[c562]) ).
cnf(c564,plain,
unit = ld(X,X),
inference(transitivity,[status(thm)],[c561,c563]) ).
cnf(c565,plain,
mult(op_c,mult(op_c,mult(op_c,op_c))) = ld(X,X),
inference(transitivity,[status(thm)],[c16,c564]) ).
cnf(c566,plain,
ld(X,X) = mult(op_c,mult(op_c,mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c565]) ).
cnf(c567,plain,
ld(rd(X,X2),ld(X2,X2)) = ld(rd(X,X2),mult(op_c,mult(op_c,mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c566]) ).
cnf(c568,plain,
ld(X2,ld(rd(X,X2),ld(X2,X2))) = ld(X2,ld(rd(X,X2),mult(op_c,mult(op_c,mult(op_c,op_c))))),
inference(congruence,[status(thm)],[c567]) ).
cnf(c569,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c570,plain,
ld(X,mult(op_c,mult(op_c,mult(op_c,op_c)))) = ld(i(i(X)),mult(op_c,mult(op_c,mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c569]) ).
cnf(c571,plain,
ld(i(X),mult(op_c,mult(op_c,mult(op_c,op_c)))) = ld(i(X),mult(i(X),X)),
inference(congruence,[status(thm)],[c28]) ).
cnf(c572,plain,
ld(i(X),mult(i(X),X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c573,plain,
ld(i(X),mult(op_c,mult(op_c,mult(op_c,op_c)))) = X,
inference(transitivity,[status(thm)],[c571,c572]) ).
cnf(c574,plain,
ld(i(i(X)),mult(op_c,mult(op_c,mult(op_c,op_c)))) = i(X),
inference(substitution,[status(thm)],[c573]) ).
cnf(c575,plain,
ld(X,mult(op_c,mult(op_c,mult(op_c,op_c)))) = i(X),
inference(transitivity,[status(thm)],[c570,c574]) ).
cnf(c576,plain,
ld(rd(X,X2),mult(op_c,mult(op_c,mult(op_c,op_c)))) = i(rd(X,X2)),
inference(substitution,[status(thm)],[c575]) ).
cnf(c577,plain,
ld(X2,ld(rd(X,X2),mult(op_c,mult(op_c,mult(op_c,op_c))))) = ld(X2,i(rd(X,X2))),
inference(congruence,[status(thm)],[c576]) ).
cnf(c578,plain,
i(rd(X,X2)) = rd(X2,X),
inference(substitution,[status(thm)],[c496]) ).
cnf(c579,plain,
ld(X2,i(rd(X,X2))) = ld(X2,rd(X2,X)),
inference(congruence,[status(thm)],[c578]) ).
cnf(c580,plain,
ld(X2,ld(rd(X,X2),mult(op_c,mult(op_c,mult(op_c,op_c))))) = ld(X2,rd(X2,X)),
inference(transitivity,[status(thm)],[c577,c579]) ).
cnf(c581,plain,
ld(X2,ld(rd(X,X2),ld(X2,X2))) = ld(X2,rd(X2,X)),
inference(transitivity,[status(thm)],[c568,c580]) ).
cnf(c582,plain,
ld(ld(i(X2),X),X2) = ld(X2,rd(X2,X)),
inference(transitivity,[status(thm)],[c559,c581]) ).
cnf(c583,plain,
ld(ld(i(X2),ld(i(i(X2)),X)),X2) = ld(X2,rd(X2,ld(i(i(X2)),X))),
inference(substitution,[status(thm)],[c582]) ).
cnf(c584,plain,
ld(X2,rd(X2,ld(i(i(X2)),X))) = ld(ld(i(X2),ld(i(i(X2)),X)),X2),
inference(symmetry,[status(thm)],[c583]) ).
cnf(c585,plain,
ld(i(X2),ld(i(i(X2)),X)) = X,
inference(substitution,[status(thm)],[c469]) ).
cnf(c586,plain,
ld(ld(i(X2),ld(i(i(X2)),X)),X2) = ld(X,X2),
inference(congruence,[status(thm)],[c585]) ).
cnf(c587,plain,
ld(X2,rd(X2,ld(i(i(X2)),X))) = ld(X,X2),
inference(transitivity,[status(thm)],[c584,c586]) ).
cnf(c588,plain,
ld(X2,rd(X2,ld(X2,X))) = ld(X,X2),
inference(transitivity,[status(thm)],[c477,c587]) ).
cnf(c589,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X))) = ld(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(substitution,[status(thm)],[c588]) ).
cnf(c590,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c589]) ).
cnf(c591,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(transitivity,[status(thm)],[c473,c590]) ).
cnf(c592,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(i(mult(op_d,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c591]) ).
cnf(c593,plain,
ld(i(mult(op_d,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(i(mult(op_d,op_c)),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c132]) ).
cnf(c594,plain,
i(ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(i(mult(op_d,op_c)),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(substitution,[status(thm)],[c369]) ).
cnf(c595,plain,
ld(i(mult(op_d,op_c)),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = i(ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c594]) ).
cnf(c596,plain,
ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c)))),
inference(congruence,[status(thm)],[c462]) ).
cnf(c597,plain,
i(i(mult(op_d,op_c))) = mult(op_d,op_c),
inference(substitution,[status(thm)],[c32]) ).
cnf(c598,plain,
mult(op_d,op_c) = i(i(mult(op_d,op_c))),
inference(symmetry,[status(thm)],[c597]) ).
cnf(c599,plain,
ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c)))) = ld(i(i(mult(op_d,op_c))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c)))),
inference(congruence,[status(thm)],[c598]) ).
cnf(c600,plain,
ld(i(X2),ld(X2,rd(X2,ld(X2,X)))) = rd(X2,ld(X2,X)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c601,plain,
rd(X2,ld(X2,X)) = ld(i(X2),ld(X2,rd(X2,ld(X2,X)))),
inference(symmetry,[status(thm)],[c600]) ).
cnf(c602,plain,
ld(i(X2),ld(X2,rd(X2,ld(X2,X)))) = ld(i(X2),ld(X,X2)),
inference(congruence,[status(thm)],[c588]) ).
cnf(c603,plain,
rd(X2,ld(X2,X)) = ld(i(X2),ld(X,X2)),
inference(transitivity,[status(thm)],[c601,c602]) ).
cnf(c604,plain,
rd(i(mult(op_d,op_c)),ld(i(mult(op_d,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(i(i(mult(op_d,op_c))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c)))),
inference(substitution,[status(thm)],[c603]) ).
cnf(c605,plain,
ld(i(i(mult(op_d,op_c))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c)))) = rd(i(mult(op_d,op_c)),ld(i(mult(op_d,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c604]) ).
cnf(c606,plain,
ld(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(X,i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c132]) ).
cnf(c607,plain,
rd(i(X),ld(X2,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(i(X),ld(X2,i(mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c606]) ).
cnf(c608,plain,
i(i(rd(X2,X))) = rd(X2,X),
inference(substitution,[status(thm)],[c32]) ).
cnf(c609,plain,
rd(X2,X) = i(i(rd(X2,X))),
inference(symmetry,[status(thm)],[c608]) ).
cnf(c610,plain,
ld(rd(X2,X),i(X)) = ld(i(i(rd(X2,X))),i(X)),
inference(congruence,[status(thm)],[c609]) ).
cnf(c611,plain,
mult(i(rd(X2,X)),i(X)) = ld(i(i(rd(X2,X))),i(X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c612,plain,
ld(i(i(rd(X2,X))),i(X)) = mult(i(rd(X2,X)),i(X)),
inference(symmetry,[status(thm)],[c611]) ).
cnf(c613,plain,
i(mult(rd(X2,X),X)) = mult(i(rd(X2,X)),i(X)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c614,plain,
mult(i(rd(X2,X)),i(X)) = i(mult(rd(X2,X),X)),
inference(symmetry,[status(thm)],[c613]) ).
cnf(c615,plain,
mult(rd(X2,X),X) = X2,
inference(substitution,[status(thm)],[c489]) ).
cnf(c616,plain,
i(mult(rd(X2,X),X)) = i(X2),
inference(congruence,[status(thm)],[c615]) ).
cnf(c617,plain,
mult(i(rd(X2,X)),i(X)) = i(X2),
inference(transitivity,[status(thm)],[c614,c616]) ).
cnf(c618,plain,
ld(i(i(rd(X2,X))),i(X)) = i(X2),
inference(transitivity,[status(thm)],[c612,c617]) ).
cnf(c619,plain,
ld(rd(X2,X),i(X)) = i(X2),
inference(transitivity,[status(thm)],[c610,c618]) ).
cnf(c620,plain,
i(X2) = ld(rd(X2,X),i(X)),
inference(symmetry,[status(thm)],[c619]) ).
cnf(c621,plain,
rd(i(X),i(X2)) = rd(i(X),ld(rd(X2,X),i(X))),
inference(congruence,[status(thm)],[c620]) ).
cnf(c622,plain,
mult(X,ld(X,X2)) = X2,
inference(substitution,[status(thm)],[c11]) ).
cnf(c623,plain,
X2 = mult(X,ld(X,X2)),
inference(symmetry,[status(thm)],[c622]) ).
cnf(c624,plain,
rd(X2,ld(X,X2)) = rd(mult(X,ld(X,X2)),ld(X,X2)),
inference(congruence,[status(thm)],[c623]) ).
cnf(c625,plain,
rd(mult(X,ld(X,X2)),ld(X,X2)) = X,
inference(substitution,[status(thm)],[c36]) ).
cnf(c626,plain,
rd(X2,ld(X,X2)) = X,
inference(transitivity,[status(thm)],[c624,c625]) ).
cnf(c627,plain,
rd(i(X),ld(rd(X2,X),i(X))) = rd(X2,X),
inference(substitution,[status(thm)],[c626]) ).
cnf(c628,plain,
rd(i(X),i(X2)) = rd(X2,X),
inference(transitivity,[status(thm)],[c621,c627]) ).
cnf(c629,plain,
rd(i(X),i(ld(i(X3),X2))) = rd(ld(i(X3),X2),X),
inference(substitution,[status(thm)],[c628]) ).
cnf(c630,plain,
rd(ld(i(X3),X2),X) = rd(i(X),i(ld(i(X3),X2))),
inference(symmetry,[status(thm)],[c629]) ).
cnf(c631,plain,
rd(i(X),i(ld(i(X3),X2))) = rd(i(X),ld(X3,i(X2))),
inference(congruence,[status(thm)],[c97]) ).
cnf(c632,plain,
rd(ld(i(X3),X2),X) = rd(i(X),ld(X3,i(X2))),
inference(transitivity,[status(thm)],[c630,c631]) ).
cnf(c633,plain,
rd(ld(i(X2),mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = rd(i(X),ld(X2,i(mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c632]) ).
cnf(c634,plain,
rd(i(X),ld(X2,i(mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(ld(i(X2),mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(symmetry,[status(thm)],[c633]) ).
cnf(c635,plain,
rd(i(X),ld(X2,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(ld(i(X2),mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(transitivity,[status(thm)],[c607,c634]) ).
cnf(c636,plain,
rd(i(X2),ld(i(X),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(ld(i(i(X)),mult(op_d,mult(op_d,mult(op_d,op_d)))),X2),
inference(substitution,[status(thm)],[c635]) ).
cnf(c637,plain,
ld(i(i(X)),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(X,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c32]) ).
cnf(c638,plain,
rd(ld(i(i(X)),mult(op_d,mult(op_d,mult(op_d,op_d)))),X2) = rd(ld(X,mult(op_d,mult(op_d,mult(op_d,op_d)))),X2),
inference(congruence,[status(thm)],[c637]) ).
cnf(c639,plain,
rd(i(X2),ld(i(X),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(ld(X,mult(op_d,mult(op_d,mult(op_d,op_d)))),X2),
inference(transitivity,[status(thm)],[c636,c638]) ).
cnf(c640,plain,
rd(i(mult(op_d,op_c)),ld(i(mult(op_d,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c)),
inference(substitution,[status(thm)],[c639]) ).
cnf(c641,plain,
mult(op_d,mult(op_d,mult(op_d,op_d))) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c279]) ).
cnf(c642,plain,
rd(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c641]) ).
cnf(c643,plain,
rd(ld(i(X2),mult(op_c,op_c)),X) = rd(i(X),ld(X2,i(mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c632]) ).
cnf(c644,plain,
mult(mult(op_c,mult(op_c,op_c)),mult(op_c,X)) = mult(i(op_c),mult(op_c,X)),
inference(congruence,[status(thm)],[c311]) ).
cnf(c645,plain,
mult(i(op_c),mult(op_c,X)) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c646,plain,
mult(mult(op_c,mult(op_c,op_c)),mult(op_c,X)) = X,
inference(transitivity,[status(thm)],[c644,c645]) ).
cnf(c647,plain,
mult(mult(op_c,mult(op_c,op_c)),mult(op_c,mult(op_c,op_c))) = mult(op_c,op_c),
inference(substitution,[status(thm)],[c646]) ).
cnf(c648,plain,
mult(op_c,op_c) = mult(mult(op_c,mult(op_c,op_c)),mult(op_c,mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c647]) ).
cnf(c649,plain,
i(mult(op_c,op_c)) = i(mult(mult(op_c,mult(op_c,op_c)),mult(op_c,mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c648]) ).
cnf(c650,plain,
i(mult(mult(op_c,mult(op_c,op_c)),mult(op_c,mult(op_c,op_c)))) = mult(i(mult(op_c,mult(op_c,op_c))),i(mult(op_c,mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c651,plain,
mult(i(mult(op_c,mult(op_c,op_c))),i(mult(op_c,mult(op_c,op_c)))) = mult(op_c,i(mult(op_c,mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c107]) ).
cnf(c652,plain,
mult(op_c,i(mult(op_c,mult(op_c,op_c)))) = mult(op_c,op_c),
inference(congruence,[status(thm)],[c107]) ).
cnf(c653,plain,
mult(i(mult(op_c,mult(op_c,op_c))),i(mult(op_c,mult(op_c,op_c)))) = mult(op_c,op_c),
inference(transitivity,[status(thm)],[c651,c652]) ).
cnf(c654,plain,
i(mult(mult(op_c,mult(op_c,op_c)),mult(op_c,mult(op_c,op_c)))) = mult(op_c,op_c),
inference(transitivity,[status(thm)],[c650,c653]) ).
cnf(c655,plain,
i(mult(op_c,op_c)) = mult(op_c,op_c),
inference(transitivity,[status(thm)],[c649,c654]) ).
cnf(c656,plain,
ld(X,i(mult(op_c,op_c))) = ld(X,mult(op_c,op_c)),
inference(congruence,[status(thm)],[c655]) ).
cnf(c657,plain,
rd(i(X),ld(X2,i(mult(op_c,op_c)))) = rd(i(X),ld(X2,mult(op_c,op_c))),
inference(congruence,[status(thm)],[c656]) ).
cnf(c658,plain,
rd(ld(i(X2),mult(op_c,op_c)),X) = rd(i(X),ld(X2,mult(op_c,op_c))),
inference(transitivity,[status(thm)],[c643,c657]) ).
cnf(c659,plain,
rd(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_c)),X) = rd(i(X),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c658]) ).
cnf(c660,plain,
rd(i(X),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = rd(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_c)),X),
inference(symmetry,[status(thm)],[c659]) ).
cnf(c661,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_c)) = ld(mult(op_d,op_d),mult(op_c,op_c)),
inference(congruence,[status(thm)],[c76]) ).
cnf(c662,plain,
rd(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_c)),X) = rd(ld(mult(op_d,op_d),mult(op_c,op_c)),X),
inference(congruence,[status(thm)],[c661]) ).
cnf(c663,plain,
rd(i(X),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = rd(ld(mult(op_d,op_d),mult(op_c,op_c)),X),
inference(transitivity,[status(thm)],[c660,c662]) ).
cnf(c664,plain,
rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = rd(ld(mult(op_d,op_d),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(substitution,[status(thm)],[c663]) ).
cnf(c665,plain,
mult(op_c,op_c) = i(mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c655]) ).
cnf(c666,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_c,op_c))),
inference(congruence,[status(thm)],[c665]) ).
cnf(c667,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),ld(mult(op_d,op_d),mult(op_c,op_c))) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_c,op_c))),ld(mult(op_d,op_d),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c666]) ).
cnf(c668,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_c,op_c))) = i(ld(mult(op_d,op_d),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c421]) ).
cnf(c669,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_c,op_c))),ld(mult(op_d,op_d),mult(op_c,op_c))) = ld(i(ld(mult(op_d,op_d),mult(op_c,op_c))),ld(mult(op_d,op_d),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c668]) ).
cnf(c670,plain,
i(X) = ld(X,mult(op_c,mult(op_c,mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c575]) ).
cnf(c671,plain,
rd(X,i(X)) = rd(X,ld(X,mult(op_c,mult(op_c,mult(op_c,op_c))))),
inference(congruence,[status(thm)],[c670]) ).
cnf(c672,plain,
ld(X,mult(op_c,mult(op_c,mult(op_c,op_c)))) = ld(X,ld(X,X)),
inference(congruence,[status(thm)],[c565]) ).
cnf(c673,plain,
rd(X,ld(X,mult(op_c,mult(op_c,mult(op_c,op_c))))) = rd(X,ld(X,ld(X,X))),
inference(congruence,[status(thm)],[c672]) ).
cnf(c674,plain,
ld(ld(i(X),X),X2) = ld(X,ld(X,X2)),
inference(substitution,[status(thm)],[c247]) ).
cnf(c675,plain,
ld(X,ld(X,X2)) = ld(ld(i(X),X),X2),
inference(symmetry,[status(thm)],[c674]) ).
cnf(c676,plain,
rd(X2,ld(X,ld(X,X2))) = rd(X2,ld(ld(i(X),X),X2)),
inference(congruence,[status(thm)],[c675]) ).
cnf(c677,plain,
rd(X2,ld(ld(i(X),X),X2)) = ld(i(X),X),
inference(substitution,[status(thm)],[c626]) ).
cnf(c678,plain,
rd(X2,ld(X,ld(X,X2))) = ld(i(X),X),
inference(transitivity,[status(thm)],[c676,c677]) ).
cnf(c679,plain,
rd(X,ld(X,ld(X,X))) = ld(i(X),X),
inference(substitution,[status(thm)],[c678]) ).
cnf(c680,plain,
rd(X,ld(X,mult(op_c,mult(op_c,mult(op_c,op_c))))) = ld(i(X),X),
inference(transitivity,[status(thm)],[c673,c679]) ).
cnf(c681,plain,
rd(X,i(X)) = ld(i(X),X),
inference(transitivity,[status(thm)],[c671,c680]) ).
cnf(c682,plain,
rd(ld(mult(op_d,op_d),mult(op_c,op_c)),i(ld(mult(op_d,op_d),mult(op_c,op_c)))) = ld(i(ld(mult(op_d,op_d),mult(op_c,op_c))),ld(mult(op_d,op_d),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c681]) ).
cnf(c683,plain,
ld(i(ld(mult(op_d,op_d),mult(op_c,op_c))),ld(mult(op_d,op_d),mult(op_c,op_c))) = rd(ld(mult(op_d,op_d),mult(op_c,op_c)),i(ld(mult(op_d,op_d),mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c682]) ).
cnf(c684,plain,
mult(op_c,op_c) = i(mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c655]) ).
cnf(c685,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_c,op_c))),
inference(congruence,[status(thm)],[c684]) ).
cnf(c686,plain,
rd(X,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = rd(X,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c685]) ).
cnf(c687,plain,
rd(X,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(X2))) = rd(X,i(ld(mult(op_d,op_d),X2))),
inference(congruence,[status(thm)],[c421]) ).
cnf(c688,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c689,plain,
rd(X,i(X2)) = rd(i(i(X)),i(X2)),
inference(congruence,[status(thm)],[c688]) ).
cnf(c690,plain,
rd(i(i(X)),i(X2)) = rd(X2,i(X)),
inference(substitution,[status(thm)],[c628]) ).
cnf(c691,plain,
rd(X,i(X2)) = rd(X2,i(X)),
inference(transitivity,[status(thm)],[c689,c690]) ).
cnf(c692,plain,
rd(ld(mult(op_d,op_d),X2),i(X)) = rd(X,i(ld(mult(op_d,op_d),X2))),
inference(substitution,[status(thm)],[c691]) ).
cnf(c693,plain,
rd(X,i(ld(mult(op_d,op_d),X2))) = rd(ld(mult(op_d,op_d),X2),i(X)),
inference(symmetry,[status(thm)],[c692]) ).
cnf(c694,plain,
rd(X,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(X2))) = rd(ld(mult(op_d,op_d),X2),i(X)),
inference(transitivity,[status(thm)],[c687,c693]) ).
cnf(c695,plain,
rd(X,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_c,op_c)))) = rd(ld(mult(op_d,op_d),mult(op_c,op_c)),i(X)),
inference(substitution,[status(thm)],[c694]) ).
cnf(c696,plain,
rd(X,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = rd(ld(mult(op_d,op_d),mult(op_c,op_c)),i(X)),
inference(transitivity,[status(thm)],[c686,c695]) ).
cnf(c697,plain,
rd(ld(mult(op_d,op_d),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = rd(ld(mult(op_d,op_d),mult(op_c,op_c)),i(ld(mult(op_d,op_d),mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c696]) ).
cnf(c698,plain,
rd(ld(mult(op_d,op_d),mult(op_c,op_c)),i(ld(mult(op_d,op_d),mult(op_c,op_c)))) = rd(ld(mult(op_d,op_d),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c697]) ).
cnf(c699,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(i(mult(op_d,op_d)),X),
inference(congruence,[status(thm)],[c78]) ).
cnf(c700,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(i(mult(op_d,op_d)),X)),
inference(congruence,[status(thm)],[c699]) ).
cnf(c701,plain,
mult(mult(op_d,op_d),X) = ld(i(mult(op_d,op_d)),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c702,plain,
ld(i(mult(op_d,op_d)),X) = mult(mult(op_d,op_d),X),
inference(symmetry,[status(thm)],[c701]) ).
cnf(c703,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(i(mult(op_d,op_d)),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,op_d),X)),
inference(congruence,[status(thm)],[c702]) ).
cnf(c704,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,op_d),X)) = ld(mult(op_d,op_d),ld(mult(op_d,op_d),mult(mult(op_d,op_d),X))),
inference(substitution,[status(thm)],[c222]) ).
cnf(c705,plain,
ld(mult(op_d,op_d),mult(mult(op_d,op_d),X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c706,plain,
ld(mult(op_d,op_d),ld(mult(op_d,op_d),mult(mult(op_d,op_d),X))) = ld(mult(op_d,op_d),X),
inference(congruence,[status(thm)],[c705]) ).
cnf(c707,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,op_d),X)) = ld(mult(op_d,op_d),X),
inference(transitivity,[status(thm)],[c704,c706]) ).
cnf(c708,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(i(mult(op_d,op_d)),X)) = ld(mult(op_d,op_d),X),
inference(transitivity,[status(thm)],[c703,c707]) ).
cnf(c709,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(mult(op_d,op_d),X),
inference(transitivity,[status(thm)],[c700,c708]) ).
cnf(c710,plain,
ld(mult(op_d,op_d),X) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(symmetry,[status(thm)],[c709]) ).
cnf(c711,plain,
rd(ld(mult(op_d,op_d),X),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(congruence,[status(thm)],[c710]) ).
cnf(c712,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = i(mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c486]) ).
cnf(c713,plain,
i(mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(symmetry,[status(thm)],[c132]) ).
cnf(c714,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c712,c713]) ).
cnf(c715,plain,
rd(ld(mult(op_d,op_d),X),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c711,c714]) ).
cnf(c716,plain,
rd(ld(mult(op_d,op_d),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c715]) ).
cnf(c717,plain,
rd(ld(mult(op_d,op_d),mult(op_c,op_c)),i(ld(mult(op_d,op_d),mult(op_c,op_c)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c698,c716]) ).
cnf(c718,plain,
ld(i(ld(mult(op_d,op_d),mult(op_c,op_c))),ld(mult(op_d,op_d),mult(op_c,op_c))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c683,c717]) ).
cnf(c719,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_c,op_c))),ld(mult(op_d,op_d),mult(op_c,op_c))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c669,c718]) ).
cnf(c720,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),ld(mult(op_d,op_d),mult(op_c,op_c))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c667,c719]) ).
cnf(c721,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),ld(mult(op_d,op_d),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c720]) ).
cnf(c722,plain,
rd(ld(mult(op_d,op_d),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = rd(ld(mult(op_d,op_d),mult(op_c,op_c)),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),ld(mult(op_d,op_d),mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c721]) ).
cnf(c723,plain,
rd(ld(mult(op_d,op_d),mult(op_c,op_c)),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),ld(mult(op_d,op_d),mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),
inference(substitution,[status(thm)],[c626]) ).
cnf(c724,plain,
rd(ld(mult(op_d,op_d),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c722,c723]) ).
cnf(c725,plain,
rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c664,c724]) ).
cnf(c726,plain,
rd(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c642,c725]) ).
cnf(c727,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)) = rd(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c726]) ).
cnf(c728,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c588]) ).
cnf(c729,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c728]) ).
cnf(c730,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = rd(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c88]) ).
cnf(c731,plain,
rd(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),X) = rd(i(X),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c658]) ).
cnf(c732,plain,
rd(i(X),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = rd(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),X),
inference(symmetry,[status(thm)],[c731]) ).
cnf(c733,plain,
i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = i(i(mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c88]) ).
cnf(c734,plain,
i(i(mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,op_d)),
inference(substitution,[status(thm)],[c32]) ).
cnf(c735,plain,
i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = mult(op_d,mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c733,c734]) ).
cnf(c736,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)) = ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),
inference(congruence,[status(thm)],[c735]) ).
cnf(c737,plain,
rd(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),X) = rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),X),
inference(congruence,[status(thm)],[c736]) ).
cnf(c738,plain,
rd(i(X),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),X),
inference(transitivity,[status(thm)],[c732,c737]) ).
cnf(c739,plain,
rd(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),mult(op_d,mult(op_d,op_d))),
inference(substitution,[status(thm)],[c738]) ).
cnf(c740,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)) = ld(i(mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(congruence,[status(thm)],[c88]) ).
cnf(c741,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = ld(ld(i(mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c740]) ).
cnf(c742,plain,
mult(op_c,op_c) = i(mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c655]) ).
cnf(c743,plain,
ld(X,mult(op_c,op_c)) = ld(X,i(mult(op_c,op_c))),
inference(congruence,[status(thm)],[c742]) ).
cnf(c744,plain,
i(ld(X,mult(op_c,op_c))) = i(ld(X,i(mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c743]) ).
cnf(c745,plain,
i(ld(X,i(mult(op_c,op_c)))) = ld(i(X),mult(op_c,op_c)),
inference(substitution,[status(thm)],[c101]) ).
cnf(c746,plain,
i(ld(X,mult(op_c,op_c))) = ld(i(X),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c744,c745]) ).
cnf(c747,plain,
i(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = ld(i(mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(substitution,[status(thm)],[c746]) ).
cnf(c748,plain,
ld(i(mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)) = i(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c747]) ).
cnf(c749,plain,
ld(ld(i(mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = ld(i(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c748]) ).
cnf(c750,plain,
rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),i(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)))) = ld(i(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c681]) ).
cnf(c751,plain,
ld(i(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),i(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c750]) ).
cnf(c752,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)) = ld(i(mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(congruence,[status(thm)],[c88]) ).
cnf(c753,plain,
rd(X,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = rd(X,ld(i(mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c752]) ).
cnf(c754,plain,
mult(op_c,op_c) = i(mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c655]) ).
cnf(c755,plain,
ld(X,mult(op_c,op_c)) = ld(X,i(mult(op_c,op_c))),
inference(congruence,[status(thm)],[c754]) ).
cnf(c756,plain,
rd(ld(X,mult(op_c,op_c)),i(X2)) = rd(ld(X,i(mult(op_c,op_c))),i(X2)),
inference(congruence,[status(thm)],[c755]) ).
cnf(c757,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c758,plain,
ld(X2,i(X)) = ld(i(i(X2)),i(X)),
inference(congruence,[status(thm)],[c757]) ).
cnf(c759,plain,
rd(ld(X2,i(X)),i(X3)) = rd(ld(i(i(X2)),i(X)),i(X3)),
inference(congruence,[status(thm)],[c758]) ).
cnf(c760,plain,
mult(i(X2),i(X)) = ld(i(i(X2)),i(X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c761,plain,
ld(i(i(X2)),i(X)) = mult(i(X2),i(X)),
inference(symmetry,[status(thm)],[c760]) ).
cnf(c762,plain,
rd(ld(i(i(X2)),i(X)),i(X3)) = rd(mult(i(X2),i(X)),i(X3)),
inference(congruence,[status(thm)],[c761]) ).
cnf(c763,plain,
i(mult(X2,X)) = mult(i(X2),i(X)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c764,plain,
mult(i(X2),i(X)) = i(mult(X2,X)),
inference(symmetry,[status(thm)],[c763]) ).
cnf(c765,plain,
rd(mult(i(X2),i(X)),i(X3)) = rd(i(mult(X2,X)),i(X3)),
inference(congruence,[status(thm)],[c764]) ).
cnf(c766,plain,
rd(i(mult(X2,X)),i(X3)) = rd(X3,mult(X2,X)),
inference(substitution,[status(thm)],[c628]) ).
cnf(c767,plain,
rd(X3,mult(X2,X)) = rd(X3,ld(i(X2),X)),
inference(congruence,[status(thm)],[c8]) ).
cnf(c768,plain,
rd(i(mult(X2,X)),i(X3)) = rd(X3,ld(i(X2),X)),
inference(transitivity,[status(thm)],[c766,c767]) ).
cnf(c769,plain,
rd(mult(i(X2),i(X)),i(X3)) = rd(X3,ld(i(X2),X)),
inference(transitivity,[status(thm)],[c765,c768]) ).
cnf(c770,plain,
rd(ld(i(i(X2)),i(X)),i(X3)) = rd(X3,ld(i(X2),X)),
inference(transitivity,[status(thm)],[c762,c769]) ).
cnf(c771,plain,
rd(ld(X2,i(X)),i(X3)) = rd(X3,ld(i(X2),X)),
inference(transitivity,[status(thm)],[c759,c770]) ).
cnf(c772,plain,
rd(ld(X,i(mult(op_c,op_c))),i(X2)) = rd(X2,ld(i(X),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c771]) ).
cnf(c773,plain,
rd(ld(X,mult(op_c,op_c)),i(X2)) = rd(X2,ld(i(X),mult(op_c,op_c))),
inference(transitivity,[status(thm)],[c756,c772]) ).
cnf(c774,plain,
rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),i(X)) = rd(X,ld(i(mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c773]) ).
cnf(c775,plain,
rd(X,ld(i(mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),i(X)),
inference(symmetry,[status(thm)],[c774]) ).
cnf(c776,plain,
rd(X,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),i(X)),
inference(transitivity,[status(thm)],[c753,c775]) ).
cnf(c777,plain,
rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),i(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c776]) ).
cnf(c778,plain,
rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),i(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)))) = rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c777]) ).
cnf(c779,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(congruence,[status(thm)],[c88]) ).
cnf(c780,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(i(mult(op_d,mult(op_d,op_d))),X),
inference(congruence,[status(thm)],[c88]) ).
cnf(c781,plain,
ld(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(i(mult(op_d,mult(op_d,op_d))),ld(i(mult(op_d,mult(op_d,op_d))),X)),
inference(congruence,[status(thm)],[c780]) ).
cnf(c782,plain,
ld(ld(mult(op_d,mult(op_d,op_d)),i(mult(op_d,mult(op_d,op_d)))),X) = ld(i(mult(op_d,mult(op_d,op_d))),ld(i(mult(op_d,mult(op_d,op_d))),X)),
inference(substitution,[status(thm)],[c188]) ).
cnf(c783,plain,
ld(i(mult(op_d,mult(op_d,op_d))),ld(i(mult(op_d,mult(op_d,op_d))),X)) = ld(ld(mult(op_d,mult(op_d,op_d)),i(mult(op_d,mult(op_d,op_d)))),X),
inference(symmetry,[status(thm)],[c782]) ).
cnf(c784,plain,
i(mult(op_d,mult(op_d,op_d))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c88]) ).
cnf(c785,plain,
ld(mult(op_d,mult(op_d,op_d)),i(mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,mult(op_d,op_d)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c784]) ).
cnf(c786,plain,
ld(ld(mult(op_d,mult(op_d,op_d)),i(mult(op_d,mult(op_d,op_d)))),X) = ld(ld(mult(op_d,mult(op_d,op_d)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X),
inference(congruence,[status(thm)],[c785]) ).
cnf(c787,plain,
mult(op_d,mult(op_d,op_d)) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c735]) ).
cnf(c788,plain,
ld(mult(op_d,mult(op_d,op_d)),mult(op_d,mult(op_d,mult(op_d,X)))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,X)))),
inference(congruence,[status(thm)],[c787]) ).
cnf(c789,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_d,mult(op_d,mult(op_d,X)))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,X)))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c790,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,X)))) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_d,mult(op_d,mult(op_d,X)))),
inference(symmetry,[status(thm)],[c789]) ).
cnf(c791,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(symmetry,[status(thm)],[c360]) ).
cnf(c792,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,X)),
inference(congruence,[status(thm)],[c151]) ).
cnf(c793,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,X))),
inference(congruence,[status(thm)],[c792]) ).
cnf(c794,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,X)) = mult(op_d,mult(op_d,X)),
inference(substitution,[status(thm)],[c151]) ).
cnf(c795,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,X))),
inference(congruence,[status(thm)],[c794]) ).
cnf(c796,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,X))) = mult(op_d,mult(op_d,mult(op_d,X))),
inference(substitution,[status(thm)],[c151]) ).
cnf(c797,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,X))) = mult(op_d,mult(op_d,mult(op_d,X))),
inference(transitivity,[status(thm)],[c795,c796]) ).
cnf(c798,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = mult(op_d,mult(op_d,mult(op_d,X))),
inference(transitivity,[status(thm)],[c793,c797]) ).
cnf(c799,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = mult(op_d,mult(op_d,mult(op_d,X))),
inference(transitivity,[status(thm)],[c791,c798]) ).
cnf(c800,plain,
mult(op_d,mult(op_d,mult(op_d,X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(symmetry,[status(thm)],[c799]) ).
cnf(c801,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_d,mult(op_d,mult(op_d,X)))) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(congruence,[status(thm)],[c800]) ).
cnf(c802,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = X,
inference(substitution,[status(thm)],[c11]) ).
cnf(c803,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_d,mult(op_d,mult(op_d,X)))) = X,
inference(transitivity,[status(thm)],[c801,c802]) ).
cnf(c804,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,X)))) = X,
inference(transitivity,[status(thm)],[c790,c803]) ).
cnf(c805,plain,
ld(mult(op_d,mult(op_d,op_d)),mult(op_d,mult(op_d,mult(op_d,X)))) = X,
inference(transitivity,[status(thm)],[c788,c804]) ).
cnf(c806,plain,
ld(mult(op_d,mult(op_d,op_d)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = mult(op_d,mult(op_d,op_d)),
inference(substitution,[status(thm)],[c805]) ).
cnf(c807,plain,
ld(ld(mult(op_d,mult(op_d,op_d)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(mult(op_d,mult(op_d,op_d)),X),
inference(congruence,[status(thm)],[c806]) ).
cnf(c808,plain,
ld(ld(mult(op_d,mult(op_d,op_d)),i(mult(op_d,mult(op_d,op_d)))),X) = ld(mult(op_d,mult(op_d,op_d)),X),
inference(transitivity,[status(thm)],[c786,c807]) ).
cnf(c809,plain,
ld(i(mult(op_d,mult(op_d,op_d))),ld(i(mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,op_d)),X),
inference(transitivity,[status(thm)],[c783,c808]) ).
cnf(c810,plain,
ld(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,op_d)),X),
inference(transitivity,[status(thm)],[c781,c809]) ).
cnf(c811,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,op_d)),X),
inference(transitivity,[status(thm)],[c779,c810]) ).
cnf(c812,plain,
ld(mult(op_d,mult(op_d,op_d)),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(symmetry,[status(thm)],[c811]) ).
cnf(c813,plain,
rd(ld(mult(op_d,mult(op_d,op_d)),X),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(congruence,[status(thm)],[c812]) ).
cnf(c814,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c486]) ).
cnf(c815,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = mult(op_d,mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c814,c735]) ).
cnf(c816,plain,
rd(ld(mult(op_d,mult(op_d,op_d)),X),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = mult(op_d,mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c813,c815]) ).
cnf(c817,plain,
rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = mult(op_d,mult(op_d,op_d)),
inference(substitution,[status(thm)],[c816]) ).
cnf(c818,plain,
rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),i(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)))) = mult(op_d,mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c778,c817]) ).
cnf(c819,plain,
ld(i(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = mult(op_d,mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c751,c818]) ).
cnf(c820,plain,
ld(ld(i(mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = mult(op_d,mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c749,c819]) ).
cnf(c821,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = mult(op_d,mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c741,c820]) ).
cnf(c822,plain,
mult(op_d,mult(op_d,op_d)) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c821]) ).
cnf(c823,plain,
rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),mult(op_d,mult(op_d,op_d))) = rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c822]) ).
cnf(c824,plain,
rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),
inference(substitution,[status(thm)],[c626]) ).
cnf(c825,plain,
rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),mult(op_d,mult(op_d,op_d))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c823,c824]) ).
cnf(c826,plain,
rd(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c739,c825]) ).
cnf(c827,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c730,c826]) ).
cnf(c828,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c827]) ).
cnf(c829,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),
inference(substitution,[status(thm)],[c811]) ).
cnf(c830,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c828,c829]) ).
cnf(c831,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c729,c830]) ).
cnf(c832,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c831]) ).
cnf(c833,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c834,plain,
X = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(symmetry,[status(thm)],[c833]) ).
cnf(c835,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))),
inference(congruence,[status(thm)],[c834]) ).
cnf(c836,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(symmetry,[status(thm)],[c360]) ).
cnf(c837,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))),
inference(congruence,[status(thm)],[c836]) ).
cnf(c838,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c839,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)))),
inference(symmetry,[status(thm)],[c838]) ).
cnf(c840,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(i(mult(op_d,op_d)),X),
inference(congruence,[status(thm)],[c78]) ).
cnf(c841,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(mult(op_d,op_d)),X)),
inference(congruence,[status(thm)],[c840]) ).
cnf(c842,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(mult(op_d,op_d)),X))),
inference(congruence,[status(thm)],[c841]) ).
cnf(c843,plain,
mult(mult(op_d,op_d),X) = ld(i(mult(op_d,op_d)),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c844,plain,
ld(i(mult(op_d,op_d)),X) = mult(mult(op_d,op_d),X),
inference(symmetry,[status(thm)],[c843]) ).
cnf(c845,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(mult(op_d,op_d)),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,op_d),X)),
inference(congruence,[status(thm)],[c844]) ).
cnf(c846,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(mult(op_d,op_d)),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,op_d),X))),
inference(congruence,[status(thm)],[c845]) ).
cnf(c847,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,op_d),X)) = ld(i(op_d),mult(mult(op_d,op_d),X)),
inference(congruence,[status(thm)],[c50]) ).
cnf(c848,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,op_d),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(i(op_d),mult(mult(op_d,op_d),X))),
inference(congruence,[status(thm)],[c847]) ).
cnf(c849,plain,
mult(op_d,mult(mult(op_d,op_d),X)) = ld(i(op_d),mult(mult(op_d,op_d),X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c850,plain,
ld(i(op_d),mult(mult(op_d,op_d),X)) = mult(op_d,mult(mult(op_d,op_d),X)),
inference(symmetry,[status(thm)],[c849]) ).
cnf(c851,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(i(op_d),mult(mult(op_d,op_d),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(mult(op_d,op_d),X))),
inference(congruence,[status(thm)],[c850]) ).
cnf(c852,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(mult(op_d,op_d),X))) = ld(i(mult(op_d,op_d)),mult(op_d,mult(mult(op_d,op_d),X))),
inference(congruence,[status(thm)],[c78]) ).
cnf(c853,plain,
mult(mult(op_d,op_d),mult(op_d,mult(mult(op_d,op_d),X))) = ld(i(mult(op_d,op_d)),mult(op_d,mult(mult(op_d,op_d),X))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c854,plain,
ld(i(mult(op_d,op_d)),mult(op_d,mult(mult(op_d,op_d),X))) = mult(mult(op_d,op_d),mult(op_d,mult(mult(op_d,op_d),X))),
inference(symmetry,[status(thm)],[c853]) ).
cnf(c855,plain,
mult(mult(op_d,op_d),mult(op_d,mult(mult(op_d,op_d),X))) = mult(mult(mult(op_d,op_d),mult(op_d,mult(op_d,op_d))),X),
inference(substitution,[status(thm)],[c174]) ).
cnf(c856,plain,
mult(mult(mult(op_d,op_d),mult(op_d,mult(op_d,op_d))),X) = ld(i(mult(mult(op_d,op_d),mult(op_d,mult(op_d,op_d)))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c857,plain,
i(mult(mult(op_d,op_d),mult(op_d,mult(op_d,op_d)))) = mult(i(mult(op_d,op_d)),i(mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c858,plain,
ld(i(mult(mult(op_d,op_d),mult(op_d,mult(op_d,op_d)))),X) = ld(mult(i(mult(op_d,op_d)),i(mult(op_d,mult(op_d,op_d)))),X),
inference(congruence,[status(thm)],[c857]) ).
cnf(c859,plain,
mult(i(mult(op_d,op_d)),i(mult(op_d,mult(op_d,op_d)))) = ld(i(i(mult(op_d,op_d))),i(mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c860,plain,
ld(mult(i(mult(op_d,op_d)),i(mult(op_d,mult(op_d,op_d)))),X) = ld(ld(i(i(mult(op_d,op_d))),i(mult(op_d,mult(op_d,op_d)))),X),
inference(congruence,[status(thm)],[c859]) ).
cnf(c861,plain,
i(i(mult(op_d,op_d))) = mult(op_d,op_d),
inference(substitution,[status(thm)],[c32]) ).
cnf(c862,plain,
ld(i(i(mult(op_d,op_d))),i(mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,op_d),i(mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c861]) ).
cnf(c863,plain,
ld(ld(i(i(mult(op_d,op_d))),i(mult(op_d,mult(op_d,op_d)))),X) = ld(ld(mult(op_d,op_d),i(mult(op_d,mult(op_d,op_d)))),X),
inference(congruence,[status(thm)],[c862]) ).
cnf(c864,plain,
i(mult(op_d,mult(op_d,op_d))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c88]) ).
cnf(c865,plain,
ld(mult(op_d,op_d),i(mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,op_d),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c864]) ).
cnf(c866,plain,
ld(ld(mult(op_d,op_d),i(mult(op_d,mult(op_d,op_d)))),X) = ld(ld(mult(op_d,op_d),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X),
inference(congruence,[status(thm)],[c865]) ).
cnf(c867,plain,
ld(mult(op_d,op_d),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = mult(op_d,mult(op_d,mult(op_d,op_d))),
inference(substitution,[status(thm)],[c202]) ).
cnf(c868,plain,
ld(ld(mult(op_d,op_d),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(congruence,[status(thm)],[c867]) ).
cnf(c869,plain,
ld(ld(mult(op_d,op_d),i(mult(op_d,mult(op_d,op_d)))),X) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c866,c868]) ).
cnf(c870,plain,
ld(ld(i(i(mult(op_d,op_d))),i(mult(op_d,mult(op_d,op_d)))),X) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c863,c869]) ).
cnf(c871,plain,
ld(mult(i(mult(op_d,op_d)),i(mult(op_d,mult(op_d,op_d)))),X) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c860,c870]) ).
cnf(c872,plain,
ld(i(mult(mult(op_d,op_d),mult(op_d,mult(op_d,op_d)))),X) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c858,c871]) ).
cnf(c873,plain,
mult(mult(mult(op_d,op_d),mult(op_d,mult(op_d,op_d))),X) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c856,c872]) ).
cnf(c874,plain,
mult(mult(op_d,op_d),mult(op_d,mult(mult(op_d,op_d),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c855,c873]) ).
cnf(c875,plain,
ld(i(mult(op_d,op_d)),mult(op_d,mult(mult(op_d,op_d),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c854,c874]) ).
cnf(c876,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(mult(op_d,op_d),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c852,c875]) ).
cnf(c877,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(i(op_d),mult(mult(op_d,op_d),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c851,c876]) ).
cnf(c878,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,op_d),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c848,c877]) ).
cnf(c879,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(mult(op_d,op_d)),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c846,c878]) ).
cnf(c880,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c842,c879]) ).
cnf(c881,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)))) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(congruence,[status(thm)],[c880]) ).
cnf(c882,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c883,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(congruence,[status(thm)],[c76]) ).
cnf(c884,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,op_d),X)) = ld(mult(op_d,op_d),ld(mult(op_d,op_d),ld(mult(op_d,op_d),X))),
inference(substitution,[status(thm)],[c222]) ).
cnf(c885,plain,
ld(mult(op_d,op_d),ld(mult(op_d,op_d),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(symmetry,[status(thm)],[c222]) ).
cnf(c886,plain,
ld(mult(op_d,op_d),ld(mult(op_d,op_d),ld(mult(op_d,op_d),X))) = ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(congruence,[status(thm)],[c885]) ).
cnf(c887,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,op_d),X)) = ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(transitivity,[status(thm)],[c884,c886]) ).
cnf(c888,plain,
ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,op_d),X)),
inference(symmetry,[status(thm)],[c887]) ).
cnf(c889,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c890,plain,
X = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(symmetry,[status(thm)],[c889]) ).
cnf(c891,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))),
inference(congruence,[status(thm)],[c890]) ).
cnf(c892,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)))),
inference(congruence,[status(thm)],[c891]) ).
cnf(c893,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(substitution,[status(thm)],[c880]) ).
cnf(c894,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c895,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(congruence,[status(thm)],[c894]) ).
cnf(c896,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(mult(op_d,op_d),X),
inference(congruence,[status(thm)],[c76]) ).
cnf(c897,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,op_d),X)),
inference(congruence,[status(thm)],[c896]) ).
cnf(c898,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c895,c897]) ).
cnf(c899,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c893,c898]) ).
cnf(c900,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c892,c899]) ).
cnf(c901,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,op_d),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(symmetry,[status(thm)],[c900]) ).
cnf(c902,plain,
ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(transitivity,[status(thm)],[c888,c901]) ).
cnf(c903,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(transitivity,[status(thm)],[c883,c902]) ).
cnf(c904,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(transitivity,[status(thm)],[c882,c903]) ).
cnf(c905,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(transitivity,[status(thm)],[c881,c904]) ).
cnf(c906,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(transitivity,[status(thm)],[c839,c905]) ).
cnf(c907,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))),
inference(substitution,[status(thm)],[c906]) ).
cnf(c908,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))),
inference(symmetry,[status(thm)],[c907]) ).
cnf(c909,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(substitution,[status(thm)],[c906]) ).
cnf(c910,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(symmetry,[status(thm)],[c909]) ).
cnf(c911,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))),
inference(congruence,[status(thm)],[c910]) ).
cnf(c912,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(i(op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(congruence,[status(thm)],[c50]) ).
cnf(c913,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(i(op_d),X),
inference(congruence,[status(thm)],[c50]) ).
cnf(c914,plain,
ld(i(op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(i(op_d),ld(i(op_d),X)),
inference(congruence,[status(thm)],[c913]) ).
cnf(c915,plain,
ld(ld(op_d,i(op_d)),X) = ld(i(op_d),ld(i(op_d),X)),
inference(substitution,[status(thm)],[c188]) ).
cnf(c916,plain,
ld(i(op_d),ld(i(op_d),X)) = ld(ld(op_d,i(op_d)),X),
inference(symmetry,[status(thm)],[c915]) ).
cnf(c917,plain,
i(op_d) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(symmetry,[status(thm)],[c50]) ).
cnf(c918,plain,
ld(op_d,i(op_d)) = ld(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(congruence,[status(thm)],[c917]) ).
cnf(c919,plain,
ld(ld(op_d,i(op_d)),X) = ld(ld(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X),
inference(congruence,[status(thm)],[c918]) ).
cnf(c920,plain,
ld(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c921,plain,
ld(ld(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X),
inference(congruence,[status(thm)],[c920]) ).
cnf(c922,plain,
ld(ld(op_d,i(op_d)),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X),
inference(transitivity,[status(thm)],[c919,c921]) ).
cnf(c923,plain,
ld(i(op_d),ld(i(op_d),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X),
inference(transitivity,[status(thm)],[c916,c922]) ).
cnf(c924,plain,
ld(i(op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X),
inference(transitivity,[status(thm)],[c914,c923]) ).
cnf(c925,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X),
inference(transitivity,[status(thm)],[c912,c924]) ).
cnf(c926,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(substitution,[status(thm)],[c925]) ).
cnf(c927,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(i(mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(congruence,[status(thm)],[c78]) ).
cnf(c928,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(i(mult(op_d,op_d)),X),
inference(congruence,[status(thm)],[c78]) ).
cnf(c929,plain,
ld(i(mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(i(mult(op_d,op_d)),ld(i(mult(op_d,op_d)),X)),
inference(congruence,[status(thm)],[c928]) ).
cnf(c930,plain,
ld(ld(mult(op_d,op_d),i(mult(op_d,op_d))),X) = ld(i(mult(op_d,op_d)),ld(i(mult(op_d,op_d)),X)),
inference(substitution,[status(thm)],[c188]) ).
cnf(c931,plain,
ld(i(mult(op_d,op_d)),ld(i(mult(op_d,op_d)),X)) = ld(ld(mult(op_d,op_d),i(mult(op_d,op_d))),X),
inference(symmetry,[status(thm)],[c930]) ).
cnf(c932,plain,
i(mult(op_d,op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c78]) ).
cnf(c933,plain,
ld(mult(op_d,op_d),i(mult(op_d,op_d))) = ld(mult(op_d,op_d),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(congruence,[status(thm)],[c932]) ).
cnf(c934,plain,
ld(ld(mult(op_d,op_d),i(mult(op_d,op_d))),X) = ld(ld(mult(op_d,op_d),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X),
inference(congruence,[status(thm)],[c933]) ).
cnf(c935,plain,
ld(mult(op_d,op_d),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c202]) ).
cnf(c936,plain,
ld(ld(mult(op_d,op_d),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(congruence,[status(thm)],[c935]) ).
cnf(c937,plain,
ld(ld(mult(op_d,op_d),i(mult(op_d,op_d))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(transitivity,[status(thm)],[c934,c936]) ).
cnf(c938,plain,
ld(i(mult(op_d,op_d)),ld(i(mult(op_d,op_d)),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(transitivity,[status(thm)],[c931,c937]) ).
cnf(c939,plain,
ld(i(mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(transitivity,[status(thm)],[c929,c938]) ).
cnf(c940,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(transitivity,[status(thm)],[c927,c939]) ).
cnf(c941,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(substitution,[status(thm)],[c940]) ).
cnf(c942,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(congruence,[status(thm)],[c132]) ).
cnf(c943,plain,
mult(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c944,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = mult(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(symmetry,[status(thm)],[c943]) ).
cnf(c945,plain,
mult(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = mult(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))),
inference(congruence,[status(thm)],[c250]) ).
cnf(c946,plain,
mult(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(substitution,[status(thm)],[c11]) ).
cnf(c947,plain,
mult(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c945,c946]) ).
cnf(c948,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c944,c947]) ).
cnf(c949,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c942,c948]) ).
cnf(c950,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c941,c949]) ).
cnf(c951,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c926,c950]) ).
cnf(c952,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c911,c951]) ).
cnf(c953,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c908,c952]) ).
cnf(c954,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c837,c953]) ).
cnf(c955,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(substitution,[status(thm)],[c954]) ).
cnf(c956,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c957,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(congruence,[status(thm)],[c956]) ).
cnf(c958,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(mult(op_d,mult(op_d,op_d)),X),
inference(congruence,[status(thm)],[c735]) ).
cnf(c959,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,op_d)),X)),
inference(congruence,[status(thm)],[c958]) ).
cnf(c960,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,op_d)),X)),
inference(transitivity,[status(thm)],[c957,c959]) ).
cnf(c961,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,op_d)),X)),
inference(transitivity,[status(thm)],[c955,c960]) ).
cnf(c962,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,op_d)),X)),
inference(transitivity,[status(thm)],[c835,c961]) ).
cnf(c963,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c962]) ).
cnf(c964,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c963]) ).
cnf(c965,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c832,c964]) ).
cnf(c966,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(symmetry,[status(thm)],[c965]) ).
cnf(c967,plain,
ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),X))) = ld(X,mult(op_d,mult(op_d,op_d))),
inference(substitution,[status(thm)],[c588]) ).
cnf(c968,plain,
ld(X,mult(op_d,mult(op_d,op_d))) = ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),X))),
inference(symmetry,[status(thm)],[c967]) ).
cnf(c969,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(X,mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),X)))),
inference(congruence,[status(thm)],[c968]) ).
cnf(c970,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,op_d)),X)) = ld(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,op_d)),X)),
inference(congruence,[status(thm)],[c88]) ).
cnf(c971,plain,
ld(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,op_d)),X)) = X,
inference(substitution,[status(thm)],[c13]) ).
cnf(c972,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,op_d)),X)) = X,
inference(transitivity,[status(thm)],[c970,c971]) ).
cnf(c973,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),X)))) = rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),X)),
inference(substitution,[status(thm)],[c972]) ).
cnf(c974,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(X,mult(op_d,mult(op_d,op_d)))) = rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),X)),
inference(transitivity,[status(thm)],[c969,c973]) ).
cnf(c975,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))) = rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c974]) ).
cnf(c976,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),i(X)) = rd(X,ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c773]) ).
cnf(c977,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)) = ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),
inference(congruence,[status(thm)],[c735]) ).
cnf(c978,plain,
rd(X,ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = rd(X,ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c977]) ).
cnf(c979,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),i(X)) = rd(X,ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(transitivity,[status(thm)],[c976,c978]) ).
cnf(c980,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),i(mult(op_d,mult(op_d,op_d)))) = rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c979]) ).
cnf(c981,plain,
rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),i(mult(op_d,mult(op_d,op_d)))),
inference(symmetry,[status(thm)],[c980]) ).
cnf(c982,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c983,plain,
X = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(symmetry,[status(thm)],[c982]) ).
cnf(c984,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))),
inference(congruence,[status(thm)],[c983]) ).
cnf(c985,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(mult(op_d,mult(op_d,op_d)),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(substitution,[status(thm)],[c811]) ).
cnf(c986,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c987,plain,
ld(mult(op_d,mult(op_d,op_d)),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,op_d)),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(congruence,[status(thm)],[c986]) ).
cnf(c988,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(mult(op_d,mult(op_d,op_d)),X),
inference(congruence,[status(thm)],[c735]) ).
cnf(c989,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),X)),
inference(congruence,[status(thm)],[c988]) ).
cnf(c990,plain,
ld(mult(op_d,mult(op_d,op_d)),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),X)),
inference(transitivity,[status(thm)],[c987,c989]) ).
cnf(c991,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),X)),
inference(transitivity,[status(thm)],[c985,c990]) ).
cnf(c992,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),X)),
inference(transitivity,[status(thm)],[c984,c991]) ).
cnf(c993,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c992]) ).
cnf(c994,plain,
mult(op_d,mult(op_d,op_d)) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c735]) ).
cnf(c995,plain,
rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c994]) ).
cnf(c996,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)) = ld(i(mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(congruence,[status(thm)],[c88]) ).
cnf(c997,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),X) = rd(ld(i(mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),X),
inference(congruence,[status(thm)],[c996]) ).
cnf(c998,plain,
rd(ld(i(mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),X) = rd(i(X),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c658]) ).
cnf(c999,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),X) = rd(i(X),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(transitivity,[status(thm)],[c997,c998]) ).
cnf(c1000,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c999]) ).
cnf(c1001,plain,
rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c1000]) ).
cnf(c1002,plain,
i(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)))) = rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c496]) ).
cnf(c1003,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = i(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c1002]) ).
cnf(c1004,plain,
i(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)))) = i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c827]) ).
cnf(c1005,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,op_d)),i(mult(op_c,op_c))),
inference(substitution,[status(thm)],[c296]) ).
cnf(c1006,plain,
ld(mult(op_d,mult(op_d,op_d)),i(mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),
inference(congruence,[status(thm)],[c655]) ).
cnf(c1007,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1005,c1006]) ).
cnf(c1008,plain,
i(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1004,c1007]) ).
cnf(c1009,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1003,c1008]) ).
cnf(c1010,plain,
rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1001,c1009]) ).
cnf(c1011,plain,
rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c995,c1010]) ).
cnf(c1012,plain,
ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)) = rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1011]) ).
cnf(c1013,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c1012]) ).
cnf(c1014,plain,
ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),
inference(substitution,[status(thm)],[c588]) ).
cnf(c1015,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),
inference(transitivity,[status(thm)],[c1013,c1014]) ).
cnf(c1016,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),
inference(transitivity,[status(thm)],[c993,c1015]) ).
cnf(c1017,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),i(mult(op_d,mult(op_d,op_d)))) = rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),i(mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c1016]) ).
cnf(c1018,plain,
i(mult(op_d,mult(op_d,op_d))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c88]) ).
cnf(c1019,plain,
rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),i(mult(op_d,mult(op_d,op_d)))) = rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1018]) ).
cnf(c1020,plain,
mult(op_c,op_c) = i(mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c655]) ).
cnf(c1021,plain,
ld(mult(op_c,op_c),X) = ld(i(mult(op_c,op_c)),X),
inference(congruence,[status(thm)],[c1020]) ).
cnf(c1022,plain,
i(ld(mult(op_c,op_c),X)) = i(ld(i(mult(op_c,op_c)),X)),
inference(congruence,[status(thm)],[c1021]) ).
cnf(c1023,plain,
i(ld(i(mult(op_c,op_c)),X)) = ld(mult(op_c,op_c),i(X)),
inference(substitution,[status(thm)],[c97]) ).
cnf(c1024,plain,
i(ld(mult(op_c,op_c),X)) = ld(mult(op_c,op_c),i(X)),
inference(transitivity,[status(thm)],[c1022,c1023]) ).
cnf(c1025,plain,
ld(mult(op_c,op_c),i(X)) = i(ld(mult(op_c,op_c),X)),
inference(symmetry,[status(thm)],[c1024]) ).
cnf(c1026,plain,
rd(ld(mult(op_c,op_c),i(X)),X2) = rd(i(ld(mult(op_c,op_c),X)),X2),
inference(congruence,[status(thm)],[c1025]) ).
cnf(c1027,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c1028,plain,
rd(i(X),X2) = rd(i(X),i(i(X2))),
inference(congruence,[status(thm)],[c1027]) ).
cnf(c1029,plain,
rd(i(X),i(i(X2))) = rd(i(X2),X),
inference(substitution,[status(thm)],[c628]) ).
cnf(c1030,plain,
rd(i(X),X2) = rd(i(X2),X),
inference(transitivity,[status(thm)],[c1028,c1029]) ).
cnf(c1031,plain,
rd(i(X2),ld(mult(op_c,op_c),X)) = rd(i(ld(mult(op_c,op_c),X)),X2),
inference(substitution,[status(thm)],[c1030]) ).
cnf(c1032,plain,
rd(i(ld(mult(op_c,op_c),X)),X2) = rd(i(X2),ld(mult(op_c,op_c),X)),
inference(symmetry,[status(thm)],[c1031]) ).
cnf(c1033,plain,
rd(ld(mult(op_c,op_c),i(X)),X2) = rd(i(X2),ld(mult(op_c,op_c),X)),
inference(transitivity,[status(thm)],[c1026,c1032]) ).
cnf(c1034,plain,
rd(ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = rd(i(X),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(substitution,[status(thm)],[c1033]) ).
cnf(c1035,plain,
rd(i(X),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = rd(ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X),
inference(symmetry,[status(thm)],[c1034]) ).
cnf(c1036,plain,
ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),
inference(congruence,[status(thm)],[c735]) ).
cnf(c1037,plain,
rd(ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),X),
inference(congruence,[status(thm)],[c1036]) ).
cnf(c1038,plain,
rd(i(X),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),X),
inference(transitivity,[status(thm)],[c1035,c1037]) ).
cnf(c1039,plain,
rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c1038]) ).
cnf(c1040,plain,
rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(symmetry,[status(thm)],[c1039]) ).
cnf(c1041,plain,
rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(congruence,[status(thm)],[c735]) ).
cnf(c1042,plain,
rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c831]) ).
cnf(c1043,plain,
ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c831]) ).
cnf(c1044,plain,
rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(transitivity,[status(thm)],[c1011,c1043]) ).
cnf(c1045,plain,
rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(transitivity,[status(thm)],[c1042,c1044]) ).
cnf(c1046,plain,
rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(transitivity,[status(thm)],[c1041,c1045]) ).
cnf(c1047,plain,
rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(transitivity,[status(thm)],[c1040,c1046]) ).
cnf(c1048,plain,
rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),i(mult(op_d,mult(op_d,op_d)))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(transitivity,[status(thm)],[c1019,c1047]) ).
cnf(c1049,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),i(mult(op_d,mult(op_d,op_d)))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(transitivity,[status(thm)],[c1017,c1048]) ).
cnf(c1050,plain,
rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(transitivity,[status(thm)],[c981,c1049]) ).
cnf(c1051,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(transitivity,[status(thm)],[c975,c1050]) ).
cnf(c1052,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))),
inference(symmetry,[status(thm)],[c1051]) ).
cnf(c1053,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c1052]) ).
cnf(c1054,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(substitution,[status(thm)],[c880]) ).
cnf(c1055,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)))),
inference(symmetry,[status(thm)],[c1054]) ).
cnf(c1056,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(congruence,[status(thm)],[c954]) ).
cnf(c1057,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))),
inference(congruence,[status(thm)],[c1056]) ).
cnf(c1058,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))),
inference(substitution,[status(thm)],[c906]) ).
cnf(c1059,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))),
inference(symmetry,[status(thm)],[c1058]) ).
cnf(c1060,plain,
mult(op_d,op_d) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(symmetry,[status(thm)],[c76]) ).
cnf(c1061,plain,
ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(congruence,[status(thm)],[c1060]) ).
cnf(c1062,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1063,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(symmetry,[status(thm)],[c1062]) ).
cnf(c1064,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(symmetry,[status(thm)],[c954]) ).
cnf(c1065,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))),
inference(congruence,[status(thm)],[c1064]) ).
cnf(c1066,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(substitution,[status(thm)],[c11]) ).
cnf(c1067,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c1065,c1066]) ).
cnf(c1068,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c1063,c1067]) ).
cnf(c1069,plain,
ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c1061,c1068]) ).
cnf(c1070,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,op_d),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c887,c1069]) ).
cnf(c1071,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c900,c1070]) ).
cnf(c1072,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(transitivity,[status(thm)],[c906,c1071]) ).
cnf(c1073,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(substitution,[status(thm)],[c1072]) ).
cnf(c1074,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(substitution,[status(thm)],[c1072]) ).
cnf(c1075,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))),
inference(symmetry,[status(thm)],[c1074]) ).
cnf(c1076,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))),
inference(substitution,[status(thm)],[c906]) ).
cnf(c1077,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(symmetry,[status(thm)],[c954]) ).
cnf(c1078,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))),
inference(congruence,[status(thm)],[c1077]) ).
cnf(c1079,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)))),
inference(congruence,[status(thm)],[c1078]) ).
cnf(c1080,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(substitution,[status(thm)],[c880]) ).
cnf(c1081,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(transitivity,[status(thm)],[c1079,c1080]) ).
cnf(c1082,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(transitivity,[status(thm)],[c1076,c1081]) ).
cnf(c1083,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(transitivity,[status(thm)],[c1075,c1082]) ).
cnf(c1084,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(symmetry,[status(thm)],[c360]) ).
cnf(c1085,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))),
inference(congruence,[status(thm)],[c1084]) ).
cnf(c1086,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))),
inference(symmetry,[status(thm)],[c880]) ).
cnf(c1087,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)))),
inference(congruence,[status(thm)],[c1086]) ).
cnf(c1088,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)))),
inference(substitution,[status(thm)],[c906]) ).
cnf(c1089,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(congruence,[status(thm)],[c906]) ).
cnf(c1090,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))),
inference(congruence,[status(thm)],[c1089]) ).
cnf(c1091,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(substitution,[status(thm)],[c880]) ).
cnf(c1092,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(transitivity,[status(thm)],[c1090,c1091]) ).
cnf(c1093,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(transitivity,[status(thm)],[c1088,c1092]) ).
cnf(c1094,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(transitivity,[status(thm)],[c1087,c1093]) ).
cnf(c1095,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))),
inference(substitution,[status(thm)],[c1094]) ).
cnf(c1096,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))),
inference(symmetry,[status(thm)],[c1095]) ).
cnf(c1097,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(substitution,[status(thm)],[c1094]) ).
cnf(c1098,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(symmetry,[status(thm)],[c1097]) ).
cnf(c1099,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))),
inference(congruence,[status(thm)],[c1098]) ).
cnf(c1100,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(substitution,[status(thm)],[c925]) ).
cnf(c1101,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(i(mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(congruence,[status(thm)],[c78]) ).
cnf(c1102,plain,
mult(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(i(mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1103,plain,
ld(i(mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = mult(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(symmetry,[status(thm)],[c1102]) ).
cnf(c1104,plain,
mult(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = mult(mult(op_d,op_d),ld(mult(op_d,op_d),ld(mult(op_d,op_d),X))),
inference(congruence,[status(thm)],[c222]) ).
cnf(c1105,plain,
mult(mult(op_d,op_d),ld(mult(op_d,op_d),ld(mult(op_d,op_d),X))) = ld(mult(op_d,op_d),X),
inference(substitution,[status(thm)],[c11]) ).
cnf(c1106,plain,
mult(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,op_d),X),
inference(transitivity,[status(thm)],[c1104,c1105]) ).
cnf(c1107,plain,
ld(i(mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,op_d),X),
inference(transitivity,[status(thm)],[c1103,c1106]) ).
cnf(c1108,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,op_d),X),
inference(transitivity,[status(thm)],[c1101,c1107]) ).
cnf(c1109,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(substitution,[status(thm)],[c1108]) ).
cnf(c1110,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(i(op_d),X),
inference(congruence,[status(thm)],[c50]) ).
cnf(c1111,plain,
ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,op_d),ld(i(op_d),X)),
inference(congruence,[status(thm)],[c1110]) ).
cnf(c1112,plain,
mult(op_d,X) = ld(i(op_d),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1113,plain,
ld(i(op_d),X) = mult(op_d,X),
inference(symmetry,[status(thm)],[c1112]) ).
cnf(c1114,plain,
ld(mult(op_d,op_d),ld(i(op_d),X)) = ld(mult(op_d,op_d),mult(op_d,X)),
inference(congruence,[status(thm)],[c1113]) ).
cnf(c1115,plain,
ld(mult(op_d,op_d),mult(op_d,X)) = ld(op_d,ld(op_d,mult(op_d,X))),
inference(substitution,[status(thm)],[c196]) ).
cnf(c1116,plain,
ld(op_d,mult(op_d,X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c1117,plain,
ld(op_d,ld(op_d,mult(op_d,X))) = ld(op_d,X),
inference(congruence,[status(thm)],[c1116]) ).
cnf(c1118,plain,
ld(mult(op_d,op_d),mult(op_d,X)) = ld(op_d,X),
inference(transitivity,[status(thm)],[c1115,c1117]) ).
cnf(c1119,plain,
ld(mult(op_d,op_d),ld(i(op_d),X)) = ld(op_d,X),
inference(transitivity,[status(thm)],[c1114,c1118]) ).
cnf(c1120,plain,
ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(op_d,X),
inference(transitivity,[status(thm)],[c1111,c1119]) ).
cnf(c1121,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c1109,c1120]) ).
cnf(c1122,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c1100,c1121]) ).
cnf(c1123,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c1099,c1122]) ).
cnf(c1124,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c1096,c1123]) ).
cnf(c1125,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(op_d,X),
inference(transitivity,[status(thm)],[c1085,c1124]) ).
cnf(c1126,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(op_d,X),
inference(transitivity,[status(thm)],[c1083,c1125]) ).
cnf(c1127,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c1073,c1126]) ).
cnf(c1128,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c1059,c1127]) ).
cnf(c1129,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c1057,c1128]) ).
cnf(c1130,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(op_d,X),
inference(transitivity,[status(thm)],[c1055,c1129]) ).
cnf(c1131,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))))) = ld(op_d,ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c1130]) ).
cnf(c1132,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(op_d,ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c1053,c1131]) ).
cnf(c1133,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)) = ld(op_d,ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c966,c1132]) ).
cnf(c1134,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(op_c,op_c),
inference(substitution,[status(thm)],[c626]) ).
cnf(c1135,plain,
mult(op_c,op_c) = rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(symmetry,[status(thm)],[c1134]) ).
cnf(c1136,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))) = ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),mult(op_d,mult(op_d,op_d))),
inference(congruence,[status(thm)],[c1135]) ).
cnf(c1137,plain,
ld(op_d,ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))) = ld(op_d,ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c1136]) ).
cnf(c1138,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(congruence,[status(thm)],[c50]) ).
cnf(c1139,plain,
ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),mult(op_d,mult(op_d,op_d))) = ld(rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),mult(op_d,mult(op_d,op_d))),
inference(congruence,[status(thm)],[c1138]) ).
cnf(c1140,plain,
ld(op_d,ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),mult(op_d,mult(op_d,op_d)))) = ld(op_d,ld(rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c1139]) ).
cnf(c1141,plain,
rd(ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X) = rd(i(X),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(substitution,[status(thm)],[c1033]) ).
cnf(c1142,plain,
rd(i(X),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = rd(ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X),
inference(symmetry,[status(thm)],[c1141]) ).
cnf(c1143,plain,
ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(mult(op_c,op_c),op_d),
inference(congruence,[status(thm)],[c48]) ).
cnf(c1144,plain,
rd(ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X) = rd(ld(mult(op_c,op_c),op_d),X),
inference(congruence,[status(thm)],[c1143]) ).
cnf(c1145,plain,
i(i(mult(op_c,op_d))) = mult(op_c,op_d),
inference(substitution,[status(thm)],[c32]) ).
cnf(c1146,plain,
mult(op_c,op_d) = i(i(mult(op_c,op_d))),
inference(symmetry,[status(thm)],[c1145]) ).
cnf(c1147,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)) = ld(mult(op_c,mult(op_c,op_c)),i(i(mult(op_c,op_d)))),
inference(congruence,[status(thm)],[c1146]) ).
cnf(c1148,plain,
i(ld(i(mult(op_c,mult(op_c,op_c))),X)) = ld(mult(op_c,mult(op_c,op_c)),i(X)),
inference(substitution,[status(thm)],[c97]) ).
cnf(c1149,plain,
ld(mult(op_c,mult(op_c,op_c)),i(X)) = i(ld(i(mult(op_c,mult(op_c,op_c))),X)),
inference(symmetry,[status(thm)],[c1148]) ).
cnf(c1150,plain,
ld(i(mult(op_c,mult(op_c,op_c))),X) = ld(op_c,X),
inference(congruence,[status(thm)],[c107]) ).
cnf(c1151,plain,
i(ld(i(mult(op_c,mult(op_c,op_c))),X)) = i(ld(op_c,X)),
inference(congruence,[status(thm)],[c1150]) ).
cnf(c1152,plain,
ld(mult(op_c,mult(op_c,op_c)),i(X)) = i(ld(op_c,X)),
inference(transitivity,[status(thm)],[c1149,c1151]) ).
cnf(c1153,plain,
ld(mult(op_c,mult(op_c,op_c)),i(i(mult(op_c,op_d)))) = i(ld(op_c,i(mult(op_c,op_d)))),
inference(substitution,[status(thm)],[c1152]) ).
cnf(c1154,plain,
X = mult(mult(op_c,mult(op_c,op_c)),mult(op_c,X)),
inference(symmetry,[status(thm)],[c646]) ).
cnf(c1155,plain,
ld(mult(op_c,mult(op_c,op_c)),X) = ld(mult(op_c,mult(op_c,op_c)),mult(mult(op_c,mult(op_c,op_c)),mult(op_c,X))),
inference(congruence,[status(thm)],[c1154]) ).
cnf(c1156,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(mult(op_c,mult(op_c,op_c)),mult(op_c,X))) = mult(op_c,X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c1157,plain,
ld(mult(op_c,mult(op_c,op_c)),X) = mult(op_c,X),
inference(transitivity,[status(thm)],[c1155,c1156]) ).
cnf(c1158,plain,
ld(mult(op_c,mult(op_c,op_c)),op_c) = mult(op_c,op_c),
inference(substitution,[status(thm)],[c1157]) ).
cnf(c1159,plain,
mult(op_c,op_c) = ld(mult(op_c,mult(op_c,op_c)),op_c),
inference(symmetry,[status(thm)],[c1158]) ).
cnf(c1160,plain,
ld(mult(op_c,op_c),X) = ld(ld(mult(op_c,mult(op_c,op_c)),op_c),X),
inference(congruence,[status(thm)],[c1159]) ).
cnf(c1161,plain,
op_c = i(mult(op_c,mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c107]) ).
cnf(c1162,plain,
ld(mult(op_c,mult(op_c,op_c)),op_c) = ld(mult(op_c,mult(op_c,op_c)),i(mult(op_c,mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c1161]) ).
cnf(c1163,plain,
ld(ld(mult(op_c,mult(op_c,op_c)),op_c),X) = ld(ld(mult(op_c,mult(op_c,op_c)),i(mult(op_c,mult(op_c,op_c)))),X),
inference(congruence,[status(thm)],[c1162]) ).
cnf(c1164,plain,
ld(ld(mult(op_c,mult(op_c,op_c)),i(mult(op_c,mult(op_c,op_c)))),X) = ld(i(mult(op_c,mult(op_c,op_c))),ld(i(mult(op_c,mult(op_c,op_c))),X)),
inference(substitution,[status(thm)],[c188]) ).
cnf(c1165,plain,
ld(i(mult(op_c,mult(op_c,op_c))),X) = ld(op_c,X),
inference(congruence,[status(thm)],[c107]) ).
cnf(c1166,plain,
ld(i(mult(op_c,mult(op_c,op_c))),ld(i(mult(op_c,mult(op_c,op_c))),X)) = ld(i(mult(op_c,mult(op_c,op_c))),ld(op_c,X)),
inference(congruence,[status(thm)],[c1165]) ).
cnf(c1167,plain,
ld(i(mult(op_c,mult(op_c,op_c))),ld(op_c,X)) = ld(op_c,ld(op_c,X)),
inference(congruence,[status(thm)],[c107]) ).
cnf(c1168,plain,
ld(i(mult(op_c,mult(op_c,op_c))),ld(i(mult(op_c,mult(op_c,op_c))),X)) = ld(op_c,ld(op_c,X)),
inference(transitivity,[status(thm)],[c1166,c1167]) ).
cnf(c1169,plain,
ld(ld(mult(op_c,mult(op_c,op_c)),i(mult(op_c,mult(op_c,op_c)))),X) = ld(op_c,ld(op_c,X)),
inference(transitivity,[status(thm)],[c1164,c1168]) ).
cnf(c1170,plain,
ld(ld(mult(op_c,mult(op_c,op_c)),op_c),X) = ld(op_c,ld(op_c,X)),
inference(transitivity,[status(thm)],[c1163,c1169]) ).
cnf(c1171,plain,
ld(mult(op_c,op_c),X) = ld(op_c,ld(op_c,X)),
inference(transitivity,[status(thm)],[c1160,c1170]) ).
cnf(c1172,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(op_c,ld(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(substitution,[status(thm)],[c1171]) ).
cnf(c1173,plain,
op_c = i(mult(op_c,mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c107]) ).
cnf(c1174,plain,
ld(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(i(mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(congruence,[status(thm)],[c1173]) ).
cnf(c1175,plain,
mult(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(i(mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1176,plain,
ld(i(mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = mult(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c1175]) ).
cnf(c1177,plain,
mult(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)) = op_d,
inference(substitution,[status(thm)],[c646]) ).
cnf(c1178,plain,
op_d = mult(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),
inference(symmetry,[status(thm)],[c1177]) ).
cnf(c1179,plain,
i(op_d) = i(mult(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),
inference(congruence,[status(thm)],[c1178]) ).
cnf(c1180,plain,
i(mult(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))) = mult(i(mult(op_c,mult(op_c,op_c))),i(mult(op_c,op_d))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c1181,plain,
mult(i(mult(op_c,mult(op_c,op_c))),i(mult(op_c,op_d))) = ld(i(i(mult(op_c,mult(op_c,op_c)))),i(mult(op_c,op_d))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1182,plain,
i(i(mult(op_c,mult(op_c,op_c)))) = mult(op_c,mult(op_c,op_c)),
inference(substitution,[status(thm)],[c32]) ).
cnf(c1183,plain,
ld(i(i(mult(op_c,mult(op_c,op_c)))),i(mult(op_c,op_d))) = ld(mult(op_c,mult(op_c,op_c)),i(mult(op_c,op_d))),
inference(congruence,[status(thm)],[c1182]) ).
cnf(c1184,plain,
mult(i(mult(op_c,mult(op_c,op_c))),i(mult(op_c,op_d))) = ld(mult(op_c,mult(op_c,op_c)),i(mult(op_c,op_d))),
inference(transitivity,[status(thm)],[c1181,c1183]) ).
cnf(c1185,plain,
i(mult(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))) = ld(mult(op_c,mult(op_c,op_c)),i(mult(op_c,op_d))),
inference(transitivity,[status(thm)],[c1180,c1184]) ).
cnf(c1186,plain,
i(op_d) = ld(mult(op_c,mult(op_c,op_c)),i(mult(op_c,op_d))),
inference(transitivity,[status(thm)],[c1179,c1185]) ).
cnf(c1187,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_c,mult(op_c,op_c)),i(mult(op_c,op_d))),
inference(transitivity,[status(thm)],[c50,c1186]) ).
cnf(c1188,plain,
mult(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = mult(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),i(mult(op_c,op_d)))),
inference(congruence,[status(thm)],[c1187]) ).
cnf(c1189,plain,
mult(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),i(mult(op_c,op_d)))) = i(mult(op_c,op_d)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c1190,plain,
mult(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = i(mult(op_c,op_d)),
inference(transitivity,[status(thm)],[c1188,c1189]) ).
cnf(c1191,plain,
ld(i(mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = i(mult(op_c,op_d)),
inference(transitivity,[status(thm)],[c1176,c1190]) ).
cnf(c1192,plain,
ld(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = i(mult(op_c,op_d)),
inference(transitivity,[status(thm)],[c1174,c1191]) ).
cnf(c1193,plain,
ld(op_c,ld(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(op_c,i(mult(op_c,op_d))),
inference(congruence,[status(thm)],[c1192]) ).
cnf(c1194,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(op_c,i(mult(op_c,op_d))),
inference(transitivity,[status(thm)],[c1172,c1193]) ).
cnf(c1195,plain,
ld(op_c,i(mult(op_c,op_d))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c1194]) ).
cnf(c1196,plain,
i(ld(op_c,i(mult(op_c,op_d)))) = i(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(congruence,[status(thm)],[c1195]) ).
cnf(c1197,plain,
i(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(substitution,[status(thm)],[c1024]) ).
cnf(c1198,plain,
ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(mult(op_c,op_c),op_d),
inference(congruence,[status(thm)],[c48]) ).
cnf(c1199,plain,
i(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(mult(op_c,op_c),op_d),
inference(transitivity,[status(thm)],[c1197,c1198]) ).
cnf(c1200,plain,
i(ld(op_c,i(mult(op_c,op_d)))) = ld(mult(op_c,op_c),op_d),
inference(transitivity,[status(thm)],[c1196,c1199]) ).
cnf(c1201,plain,
ld(mult(op_c,mult(op_c,op_c)),i(i(mult(op_c,op_d)))) = ld(mult(op_c,op_c),op_d),
inference(transitivity,[status(thm)],[c1153,c1200]) ).
cnf(c1202,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)) = ld(mult(op_c,op_c),op_d),
inference(transitivity,[status(thm)],[c1147,c1201]) ).
cnf(c1203,plain,
ld(mult(op_c,op_c),op_d) = ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),
inference(symmetry,[status(thm)],[c1202]) ).
cnf(c1204,plain,
rd(ld(mult(op_c,op_c),op_d),X) = rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),X),
inference(congruence,[status(thm)],[c1203]) ).
cnf(c1205,plain,
rd(ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X) = rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),X),
inference(transitivity,[status(thm)],[c1144,c1204]) ).
cnf(c1206,plain,
rd(i(X),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),X),
inference(transitivity,[status(thm)],[c1142,c1205]) ).
cnf(c1207,plain,
rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d),
inference(substitution,[status(thm)],[c1206]) ).
cnf(c1208,plain,
ld(rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),mult(op_d,mult(op_d,op_d))) = ld(rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d),mult(op_d,mult(op_d,op_d))),
inference(congruence,[status(thm)],[c1207]) ).
cnf(c1209,plain,
ld(op_d,ld(rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),mult(op_d,mult(op_d,op_d)))) = ld(op_d,ld(rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d),mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c1208]) ).
cnf(c1210,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(i(op_d),X),
inference(congruence,[status(thm)],[c50]) ).
cnf(c1211,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X2),mult(op_d,X)) = ld(ld(i(op_d),X2),mult(op_d,X)),
inference(congruence,[status(thm)],[c1210]) ).
cnf(c1212,plain,
ld(op_d,ld(rd(X2,op_d),ld(op_d,mult(op_d,X)))) = ld(ld(i(op_d),X2),mult(op_d,X)),
inference(substitution,[status(thm)],[c557]) ).
cnf(c1213,plain,
ld(ld(i(op_d),X2),mult(op_d,X)) = ld(op_d,ld(rd(X2,op_d),ld(op_d,mult(op_d,X)))),
inference(symmetry,[status(thm)],[c1212]) ).
cnf(c1214,plain,
ld(op_d,mult(op_d,X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c1215,plain,
ld(rd(X2,op_d),ld(op_d,mult(op_d,X))) = ld(rd(X2,op_d),X),
inference(congruence,[status(thm)],[c1214]) ).
cnf(c1216,plain,
ld(op_d,ld(rd(X2,op_d),ld(op_d,mult(op_d,X)))) = ld(op_d,ld(rd(X2,op_d),X)),
inference(congruence,[status(thm)],[c1215]) ).
cnf(c1217,plain,
ld(ld(i(op_d),X2),mult(op_d,X)) = ld(op_d,ld(rd(X2,op_d),X)),
inference(transitivity,[status(thm)],[c1213,c1216]) ).
cnf(c1218,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X2),mult(op_d,X)) = ld(op_d,ld(rd(X2,op_d),X)),
inference(transitivity,[status(thm)],[c1211,c1217]) ).
cnf(c1219,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(op_d,ld(rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d),mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c1218]) ).
cnf(c1220,plain,
ld(op_d,ld(rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d),mult(op_d,mult(op_d,op_d)))) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(symmetry,[status(thm)],[c1219]) ).
cnf(c1221,plain,
rd(mult(op_d,op_c),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),mult(op_d,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),
inference(substitution,[status(thm)],[c626]) ).
cnf(c1222,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))) = rd(mult(op_d,op_c),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),mult(op_d,op_c))),
inference(symmetry,[status(thm)],[c1221]) ).
cnf(c1223,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),mult(op_d,op_c)) = ld(op_d,ld(rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d),op_c)),
inference(substitution,[status(thm)],[c1218]) ).
cnf(c1224,plain,
rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d),
inference(substitution,[status(thm)],[c1206]) ).
cnf(c1225,plain,
rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d) = rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(symmetry,[status(thm)],[c1224]) ).
cnf(c1226,plain,
ld(rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d),op_c) = ld(rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),op_c),
inference(congruence,[status(thm)],[c1225]) ).
cnf(c1227,plain,
ld(op_d,ld(rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d),op_c)) = ld(op_d,ld(rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),op_c)),
inference(congruence,[status(thm)],[c1226]) ).
cnf(c1228,plain,
i(op_d) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(symmetry,[status(thm)],[c50]) ).
cnf(c1229,plain,
rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(congruence,[status(thm)],[c1228]) ).
cnf(c1230,plain,
ld(rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),op_c) = ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),op_c),
inference(congruence,[status(thm)],[c1229]) ).
cnf(c1231,plain,
ld(op_d,ld(rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),op_c)) = ld(op_d,ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),op_c)),
inference(congruence,[status(thm)],[c1230]) ).
cnf(c1232,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(op_c,op_c),
inference(substitution,[status(thm)],[c626]) ).
cnf(c1233,plain,
ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),op_c) = ld(mult(op_c,op_c),op_c),
inference(congruence,[status(thm)],[c1232]) ).
cnf(c1234,plain,
ld(op_d,ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),op_c)) = ld(op_d,ld(mult(op_c,op_c),op_c)),
inference(congruence,[status(thm)],[c1233]) ).
cnf(c1235,plain,
ld(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_c,mult(op_c,op_c)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c1236,plain,
mult(op_c,mult(op_c,op_c)) = ld(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c1235]) ).
cnf(c1237,plain,
mult(op_c,mult(op_c,mult(op_c,op_c))) = ld(op_c,op_c),
inference(substitution,[status(thm)],[c565]) ).
cnf(c1238,plain,
ld(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))) = ld(op_c,ld(op_c,op_c)),
inference(congruence,[status(thm)],[c1237]) ).
cnf(c1239,plain,
ld(mult(op_c,op_c),op_c) = ld(op_c,ld(op_c,op_c)),
inference(substitution,[status(thm)],[c1171]) ).
cnf(c1240,plain,
ld(op_c,ld(op_c,op_c)) = ld(mult(op_c,op_c),op_c),
inference(symmetry,[status(thm)],[c1239]) ).
cnf(c1241,plain,
ld(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))) = ld(mult(op_c,op_c),op_c),
inference(transitivity,[status(thm)],[c1238,c1240]) ).
cnf(c1242,plain,
mult(op_c,mult(op_c,op_c)) = ld(mult(op_c,op_c),op_c),
inference(transitivity,[status(thm)],[c1236,c1241]) ).
cnf(c1243,plain,
ld(mult(op_c,op_c),op_c) = mult(op_c,mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c1242]) ).
cnf(c1244,plain,
ld(op_d,ld(mult(op_c,op_c),op_c)) = ld(op_d,mult(op_c,mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1243]) ).
cnf(c1245,plain,
op_d = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c48]) ).
cnf(c1246,plain,
ld(op_d,mult(op_c,mult(op_c,op_c))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),mult(op_c,mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1245]) ).
cnf(c1247,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),mult(op_c,mult(op_c,op_c))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1248,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),mult(op_c,mult(op_c,op_c))) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1247]) ).
cnf(c1249,plain,
mult(op_c,mult(op_c,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,op_c))),
inference(symmetry,[status(thm)],[c316]) ).
cnf(c1250,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c))) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,op_c)))),
inference(congruence,[status(thm)],[c1249]) ).
cnf(c1251,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,op_c)))) = i(mult(op_d,op_c)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c1252,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,op_c))) = i(mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1250,c1251]) ).
cnf(c1253,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),mult(op_c,mult(op_c,op_c))) = i(mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1248,c1252]) ).
cnf(c1254,plain,
ld(op_d,mult(op_c,mult(op_c,op_c))) = i(mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1246,c1253]) ).
cnf(c1255,plain,
ld(op_d,ld(mult(op_c,op_c),op_c)) = i(mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1244,c1254]) ).
cnf(c1256,plain,
ld(op_d,ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),op_c)) = i(mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1234,c1255]) ).
cnf(c1257,plain,
ld(op_d,ld(rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),op_c)) = i(mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1231,c1256]) ).
cnf(c1258,plain,
ld(op_d,ld(rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d),op_c)) = i(mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1227,c1257]) ).
cnf(c1259,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),mult(op_d,op_c)) = i(mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1223,c1258]) ).
cnf(c1260,plain,
rd(mult(op_d,op_c),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),mult(op_d,op_c))) = rd(mult(op_d,op_c),i(mult(op_d,op_c))),
inference(congruence,[status(thm)],[c1259]) ).
cnf(c1261,plain,
rd(mult(op_d,op_c),i(mult(op_d,op_c))) = ld(i(mult(op_d,op_c)),mult(op_d,op_c)),
inference(substitution,[status(thm)],[c681]) ).
cnf(c1262,plain,
rd(mult(op_d,op_c),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),mult(op_d,op_c))) = ld(i(mult(op_d,op_c)),mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1260,c1261]) ).
cnf(c1263,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))) = ld(i(mult(op_d,op_c)),mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1222,c1262]) ).
cnf(c1264,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(ld(i(mult(op_d,op_c)),mult(op_d,op_c)),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c1263]) ).
cnf(c1265,plain,
ld(ld(i(mult(op_d,op_c)),mult(op_d,op_c)),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,op_c),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(substitution,[status(thm)],[c247]) ).
cnf(c1266,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,op_c),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1264,c1265]) ).
cnf(c1267,plain,
ld(op_d,ld(rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d),mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,op_c),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1220,c1266]) ).
cnf(c1268,plain,
ld(op_d,ld(rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,op_c),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1209,c1267]) ).
cnf(c1269,plain,
ld(op_d,ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,op_c),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1140,c1268]) ).
cnf(c1270,plain,
ld(op_d,ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,op_c),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1137,c1269]) ).
cnf(c1271,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)) = ld(mult(op_d,op_c),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1133,c1270]) ).
cnf(c1272,plain,
rd(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = rd(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,op_c),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1271]) ).
cnf(c1273,plain,
rd(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,op_c),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(i(mult(op_d,op_c)),mult(op_d,op_c)),
inference(substitution,[status(thm)],[c678]) ).
cnf(c1274,plain,
rd(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = ld(i(mult(op_d,op_c)),mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1272,c1273]) ).
cnf(c1275,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)) = ld(i(mult(op_d,op_c)),mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c727,c1274]) ).
cnf(c1276,plain,
ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = ld(mult(op_d,op_c),ld(i(mult(op_d,op_c)),mult(op_d,op_c))),
inference(congruence,[status(thm)],[c1275]) ).
cnf(c1277,plain,
ld(mult(op_d,op_c),ld(i(mult(op_d,op_c)),mult(op_d,op_c))) = mult(op_d,op_c),
inference(substitution,[status(thm)],[c469]) ).
cnf(c1278,plain,
ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = mult(op_d,op_c),
inference(transitivity,[status(thm)],[c1276,c1277]) ).
cnf(c1279,plain,
mult(op_d,op_c) = ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1278]) ).
cnf(c1280,plain,
rd(ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c)) = rd(ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c1279]) ).
cnf(c1281,plain,
ld(i(mult(op_d,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = ld(i(mult(op_d,op_c)),ld(mult(op_d,op_c),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1271]) ).
cnf(c1282,plain,
ld(i(mult(op_d,op_c)),ld(mult(op_d,op_c),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c13]) ).
cnf(c1283,plain,
ld(i(mult(op_d,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c1281,c1282]) ).
cnf(c1284,plain,
ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(i(mult(op_d,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1283]) ).
cnf(c1285,plain,
rd(ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)))) = rd(ld(i(mult(op_d,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))),ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c1284]) ).
cnf(c1286,plain,
X = ld(X2,ld(i(X2),X)),
inference(symmetry,[status(thm)],[c469]) ).
cnf(c1287,plain,
ld(X2,X) = ld(X2,ld(X2,ld(i(X2),X))),
inference(congruence,[status(thm)],[c1286]) ).
cnf(c1288,plain,
rd(ld(i(X2),X),ld(X2,X)) = rd(ld(i(X2),X),ld(X2,ld(X2,ld(i(X2),X)))),
inference(congruence,[status(thm)],[c1287]) ).
cnf(c1289,plain,
rd(ld(i(X2),X),ld(X2,ld(X2,ld(i(X2),X)))) = ld(i(X2),X2),
inference(substitution,[status(thm)],[c678]) ).
cnf(c1290,plain,
rd(ld(i(X2),X),ld(X2,X)) = ld(i(X2),X2),
inference(transitivity,[status(thm)],[c1288,c1289]) ).
cnf(c1291,plain,
rd(ld(i(mult(op_d,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))),ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)))) = ld(i(mult(op_d,op_c)),mult(op_d,op_c)),
inference(substitution,[status(thm)],[c1290]) ).
cnf(c1292,plain,
ld(i(mult(op_d,op_c)),mult(op_d,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c1275]) ).
cnf(c1293,plain,
rd(ld(i(mult(op_d,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))),ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1291,c1292]) ).
cnf(c1294,plain,
rd(ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1285,c1293]) ).
cnf(c1295,plain,
rd(ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1280,c1294]) ).
cnf(c1296,plain,
rd(i(mult(op_d,op_c)),ld(i(mult(op_d,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c640,c1295]) ).
cnf(c1297,plain,
ld(i(i(mult(op_d,op_c))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c605,c1296]) ).
cnf(c1298,plain,
ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c599,c1297]) ).
cnf(c1299,plain,
ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c596,c1298]) ).
cnf(c1300,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)) = ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c1299]) ).
cnf(c1301,plain,
ld(i(mult(op_d,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = ld(i(mult(op_d,op_c)),ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))))),
inference(congruence,[status(thm)],[c1300]) ).
cnf(c1302,plain,
ld(i(mult(op_d,op_c)),ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))),
inference(substitution,[status(thm)],[c13]) ).
cnf(c1303,plain,
ld(i(mult(op_d,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))),
inference(transitivity,[status(thm)],[c1301,c1302]) ).
cnf(c1304,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))) = ld(i(mult(op_d,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1303]) ).
cnf(c1305,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))) = ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c1304,c1283]) ).
cnf(c1306,plain,
ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1305]) ).
cnf(c1307,plain,
i(ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c1306]) ).
cnf(c1308,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,op_d)),i(mult(op_c,mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c296]) ).
cnf(c1309,plain,
ld(mult(op_d,mult(op_d,op_d)),i(mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,op_d)),op_c),
inference(congruence,[status(thm)],[c107]) ).
cnf(c1310,plain,
ld(mult(op_d,mult(op_d,op_d)),op_c) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)),
inference(symmetry,[status(thm)],[c453]) ).
cnf(c1311,plain,
ld(mult(op_d,mult(op_d,op_d)),i(mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1309,c1310]) ).
cnf(c1312,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1308,c1311]) ).
cnf(c1313,plain,
i(ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1307,c1312]) ).
cnf(c1314,plain,
ld(i(mult(op_d,op_c)),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c595,c1313]) ).
cnf(c1315,plain,
ld(i(mult(op_d,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c593,c1314]) ).
cnf(c1316,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(i(mult(op_d,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))),
inference(congruence,[status(thm)],[c1315]) ).
cnf(c1317,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))),
inference(substitution,[status(thm)],[c250]) ).
cnf(c1318,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_c)),
inference(symmetry,[status(thm)],[c1317]) ).
cnf(c1319,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(i(mult(op_d,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1316,c1318]) ).
cnf(c1320,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),i(mult(op_d,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c592,c1319]) ).
cnf(c1321,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c463,c1320]) ).
cnf(c1322,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_c)) = rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c1321]) ).
cnf(c1323,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(substitution,[status(thm)],[c11]) ).
cnf(c1324,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))),
inference(symmetry,[status(thm)],[c1323]) ).
cnf(c1325,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X),
inference(substitution,[status(thm)],[c11]) ).
cnf(c1326,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(symmetry,[status(thm)],[c1325]) ).
cnf(c1327,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(symmetry,[status(thm)],[c906]) ).
cnf(c1328,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))),
inference(congruence,[status(thm)],[c1327]) ).
cnf(c1329,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1330,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))),
inference(congruence,[status(thm)],[c76]) ).
cnf(c1331,plain,
ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(substitution,[status(thm)],[c1120]) ).
cnf(c1332,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(transitivity,[status(thm)],[c1330,c1331]) ).
cnf(c1333,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(transitivity,[status(thm)],[c1329,c1332]) ).
cnf(c1334,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(transitivity,[status(thm)],[c1328,c1333]) ).
cnf(c1335,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(transitivity,[status(thm)],[c1326,c1334]) ).
cnf(c1336,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))),
inference(congruence,[status(thm)],[c1335]) ).
cnf(c1337,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c1338,plain,
X = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(symmetry,[status(thm)],[c1337]) ).
cnf(c1339,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(congruence,[status(thm)],[c1338]) ).
cnf(c1340,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))),
inference(congruence,[status(thm)],[c1339]) ).
cnf(c1341,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(substitution,[status(thm)],[c360]) ).
cnf(c1342,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1343,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X)),
inference(congruence,[status(thm)],[c1342]) ).
cnf(c1344,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(op_d,X),
inference(congruence,[status(thm)],[c48]) ).
cnf(c1345,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,X)),
inference(congruence,[status(thm)],[c1344]) ).
cnf(c1346,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1343,c1345]) ).
cnf(c1347,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1341,c1346]) ).
cnf(c1348,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1340,c1347]) ).
cnf(c1349,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))),
inference(substitution,[status(thm)],[c1348]) ).
cnf(c1350,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))),
inference(symmetry,[status(thm)],[c1349]) ).
cnf(c1351,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(substitution,[status(thm)],[c925]) ).
cnf(c1352,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(transitivity,[status(thm)],[c1351,c940]) ).
cnf(c1353,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(transitivity,[status(thm)],[c1350,c1352]) ).
cnf(c1354,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(transitivity,[status(thm)],[c1336,c1353]) ).
cnf(c1355,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(transitivity,[status(thm)],[c436,c1354]) ).
cnf(c1356,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(congruence,[status(thm)],[c1355]) ).
cnf(c1357,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1358,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(congruence,[status(thm)],[c48]) ).
cnf(c1359,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(transitivity,[status(thm)],[c1357,c1358]) ).
cnf(c1360,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(transitivity,[status(thm)],[c1356,c1359]) ).
cnf(c1361,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(transitivity,[status(thm)],[c1324,c1360]) ).
cnf(c1362,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c1361]) ).
cnf(c1363,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c)))) = rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_c,op_c))))),
inference(congruence,[status(thm)],[c1362]) ).
cnf(c1364,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(op_d,mult(op_c,mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c283]) ).
cnf(c1365,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(op_d,mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),i(mult(op_d,op_c))),
inference(congruence,[status(thm)],[c1254]) ).
cnf(c1366,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c1364,c1365]) ).
cnf(c1367,plain,
mult(op_d,mult(op_d,mult(op_d,op_d))) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c279]) ).
cnf(c1368,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),i(mult(op_d,op_c))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c))),
inference(congruence,[status(thm)],[c1367]) ).
cnf(c1369,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c))),
inference(substitution,[status(thm)],[c369]) ).
cnf(c1370,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c))) = i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c))),
inference(symmetry,[status(thm)],[c1369]) ).
cnf(c1371,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(substitution,[status(thm)],[c13]) ).
cnf(c1372,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(symmetry,[status(thm)],[c1371]) ).
cnf(c1373,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c591]) ).
cnf(c1374,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c1373]) ).
cnf(c1375,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c1376,plain,
X = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(symmetry,[status(thm)],[c1375]) ).
cnf(c1377,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X))),
inference(congruence,[status(thm)],[c1376]) ).
cnf(c1378,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X))) = ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(substitution,[status(thm)],[c274]) ).
cnf(c1379,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1380,plain,
ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(op_d,ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(congruence,[status(thm)],[c1379]) ).
cnf(c1381,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(congruence,[status(thm)],[c279]) ).
cnf(c1382,plain,
ld(op_d,ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(congruence,[status(thm)],[c1381]) ).
cnf(c1383,plain,
ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(transitivity,[status(thm)],[c1380,c1382]) ).
cnf(c1384,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X))) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(transitivity,[status(thm)],[c1378,c1383]) ).
cnf(c1385,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(transitivity,[status(thm)],[c1377,c1384]) ).
cnf(c1386,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_c,op_c))) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c1385]) ).
cnf(c1387,plain,
op_d = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c48]) ).
cnf(c1388,plain,
ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c)))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c1387]) ).
cnf(c1389,plain,
rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))) = rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,op_d)),op_c)),
inference(congruence,[status(thm)],[c453]) ).
cnf(c1390,plain,
op_c = i(mult(op_c,mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c107]) ).
cnf(c1391,plain,
ld(mult(op_d,mult(op_d,op_d)),op_c) = ld(mult(op_d,mult(op_d,op_d)),i(mult(op_c,mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c1390]) ).
cnf(c1392,plain,
rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,op_d)),op_c)) = rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,op_d)),i(mult(op_c,mult(op_c,op_c))))),
inference(congruence,[status(thm)],[c1391]) ).
cnf(c1393,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,op_d)),i(mult(op_c,mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c296]) ).
cnf(c1394,plain,
ld(mult(op_d,mult(op_d,op_d)),i(mult(op_c,mult(op_c,op_c)))) = i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c1393]) ).
cnf(c1395,plain,
rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,op_d)),i(mult(op_c,mult(op_c,op_c))))) = rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))))),
inference(congruence,[status(thm)],[c1394]) ).
cnf(c1396,plain,
rd(ld(mult(op_c,op_c),X2),i(X)) = rd(X,i(ld(mult(op_c,op_c),X2))),
inference(substitution,[status(thm)],[c691]) ).
cnf(c1397,plain,
rd(X,i(ld(mult(op_c,op_c),X2))) = rd(X,ld(mult(op_c,op_c),i(X2))),
inference(congruence,[status(thm)],[c1024]) ).
cnf(c1398,plain,
rd(ld(mult(op_c,op_c),X2),i(X)) = rd(X,ld(mult(op_c,op_c),i(X2))),
inference(transitivity,[status(thm)],[c1396,c1397]) ).
cnf(c1399,plain,
rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(X)) = rd(X,ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(substitution,[status(thm)],[c1398]) ).
cnf(c1400,plain,
ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(mult(op_c,op_c),mult(op_d,op_d)),
inference(congruence,[status(thm)],[c76]) ).
cnf(c1401,plain,
rd(X,ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = rd(X,ld(mult(op_c,op_c),mult(op_d,op_d))),
inference(congruence,[status(thm)],[c1400]) ).
cnf(c1402,plain,
rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(X)) = rd(X,ld(mult(op_c,op_c),mult(op_d,op_d))),
inference(transitivity,[status(thm)],[c1399,c1401]) ).
cnf(c1403,plain,
rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))))) = rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))),ld(mult(op_c,op_c),mult(op_d,op_d))),
inference(substitution,[status(thm)],[c1402]) ).
cnf(c1404,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c1405,plain,
X = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(symmetry,[status(thm)],[c1404]) ).
cnf(c1406,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X))),
inference(congruence,[status(thm)],[c1405]) ).
cnf(c1407,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,op_d),mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(substitution,[status(thm)],[c1108]) ).
cnf(c1408,plain,
mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1409,plain,
ld(mult(op_d,op_d),mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,op_d),ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(congruence,[status(thm)],[c1408]) ).
cnf(c1410,plain,
i(mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(symmetry,[status(thm)],[c132]) ).
cnf(c1411,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(congruence,[status(thm)],[c1410]) ).
cnf(c1412,plain,
ld(mult(op_d,op_d),ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(congruence,[status(thm)],[c1411]) ).
cnf(c1413,plain,
ld(mult(op_d,op_d),mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(transitivity,[status(thm)],[c1409,c1412]) ).
cnf(c1414,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(transitivity,[status(thm)],[c1407,c1413]) ).
cnf(c1415,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(transitivity,[status(thm)],[c1406,c1414]) ).
cnf(c1416,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)) = ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c1415]) ).
cnf(c1417,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_c,op_c),i(mult(op_d,op_d))),
inference(congruence,[status(thm)],[c78]) ).
cnf(c1418,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),i(mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c1417]) ).
cnf(c1419,plain,
i(ld(mult(op_c,op_c),mult(op_d,op_d))) = ld(mult(op_c,op_c),i(mult(op_d,op_d))),
inference(substitution,[status(thm)],[c1024]) ).
cnf(c1420,plain,
ld(mult(op_c,op_c),i(mult(op_d,op_d))) = i(ld(mult(op_c,op_c),mult(op_d,op_d))),
inference(symmetry,[status(thm)],[c1419]) ).
cnf(c1421,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),i(mult(op_d,op_d)))) = ld(mult(op_d,mult(op_d,op_d)),i(ld(mult(op_c,op_c),mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c1420]) ).
cnf(c1422,plain,
mult(op_d,mult(op_d,op_d)) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c735]) ).
cnf(c1423,plain,
ld(mult(op_d,mult(op_d,op_d)),i(ld(mult(op_c,op_c),mult(op_d,op_d)))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(ld(mult(op_c,op_c),mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c1422]) ).
cnf(c1424,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d)))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(ld(mult(op_c,op_c),mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c369]) ).
cnf(c1425,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(ld(mult(op_c,op_c),mult(op_d,op_d)))) = i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d)))),
inference(symmetry,[status(thm)],[c1424]) ).
cnf(c1426,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d))) = ld(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_c,op_c),mult(op_d,op_d))),
inference(congruence,[status(thm)],[c88]) ).
cnf(c1427,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(substitution,[status(thm)],[c811]) ).
cnf(c1428,plain,
ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c1427]) ).
cnf(c1429,plain,
ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c831]) ).
cnf(c1430,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(substitution,[status(thm)],[c954]) ).
cnf(c1431,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(symmetry,[status(thm)],[c1430]) ).
cnf(c1432,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(symmetry,[status(thm)],[c436]) ).
cnf(c1433,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))),
inference(congruence,[status(thm)],[c1432]) ).
cnf(c1434,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))),
inference(substitution,[status(thm)],[c906]) ).
cnf(c1435,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))),
inference(symmetry,[status(thm)],[c1434]) ).
cnf(c1436,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(substitution,[status(thm)],[c1072]) ).
cnf(c1437,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(mult(op_d,mult(op_d,op_d)),X),
inference(transitivity,[status(thm)],[c1436,c811]) ).
cnf(c1438,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(mult(op_d,mult(op_d,op_d)),X),
inference(transitivity,[status(thm)],[c1435,c1437]) ).
cnf(c1439,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,op_d)),X),
inference(transitivity,[status(thm)],[c1433,c1438]) ).
cnf(c1440,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,op_d)),X),
inference(transitivity,[status(thm)],[c1431,c1439]) ).
cnf(c1441,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)) = ld(mult(op_d,mult(op_d,op_d)),X),
inference(transitivity,[status(thm)],[c1094,c1440]) ).
cnf(c1442,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),
inference(substitution,[status(thm)],[c1441]) ).
cnf(c1443,plain,
ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1442]) ).
cnf(c1444,plain,
ld(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c1443]) ).
cnf(c1445,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(op_d,ld(rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),op_d),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(substitution,[status(thm)],[c1218]) ).
cnf(c1446,plain,
rd(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),X) = rd(i(X),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c658]) ).
cnf(c1447,plain,
rd(i(X),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = rd(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),X),
inference(symmetry,[status(thm)],[c1446]) ).
cnf(c1448,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(congruence,[status(thm)],[c279]) ).
cnf(c1449,plain,
rd(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),X) = rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),X),
inference(congruence,[status(thm)],[c1448]) ).
cnf(c1450,plain,
rd(i(X),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),X),
inference(transitivity,[status(thm)],[c1447,c1449]) ).
cnf(c1451,plain,
rd(i(op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),op_d),
inference(substitution,[status(thm)],[c1450]) ).
cnf(c1452,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),op_d) = rd(i(op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1451]) ).
cnf(c1453,plain,
ld(rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),op_d),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(rd(i(op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c1452]) ).
cnf(c1454,plain,
ld(op_d,ld(rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),op_d),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(op_d,ld(rd(i(op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c1453]) ).
cnf(c1455,plain,
i(op_d) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(symmetry,[status(thm)],[c50]) ).
cnf(c1456,plain,
rd(i(op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1455]) ).
cnf(c1457,plain,
ld(rd(i(op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c1456]) ).
cnf(c1458,plain,
ld(op_d,ld(rd(i(op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(op_d,ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c1457]) ).
cnf(c1459,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = rd(i(op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c50]) ).
cnf(c1460,plain,
rd(i(op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),op_d),
inference(substitution,[status(thm)],[c1450]) ).
cnf(c1461,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),
inference(congruence,[status(thm)],[c132]) ).
cnf(c1462,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = ld(ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1461]) ).
cnf(c1463,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),
inference(substitution,[status(thm)],[c746]) ).
cnf(c1464,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)) = i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1463]) ).
cnf(c1465,plain,
ld(ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = ld(i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1464]) ).
cnf(c1466,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)))) = ld(i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c681]) ).
cnf(c1467,plain,
ld(i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c1466]) ).
cnf(c1468,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),
inference(congruence,[status(thm)],[c132]) ).
cnf(c1469,plain,
rd(X,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = rd(X,ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1468]) ).
cnf(c1470,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),i(X)) = rd(X,ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c773]) ).
cnf(c1471,plain,
rd(X,ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),i(X)),
inference(symmetry,[status(thm)],[c1470]) ).
cnf(c1472,plain,
rd(X,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),i(X)),
inference(transitivity,[status(thm)],[c1469,c1471]) ).
cnf(c1473,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c1472]) ).
cnf(c1474,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)))) = rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1473]) ).
cnf(c1475,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(symmetry,[status(thm)],[c1355]) ).
cnf(c1476,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(substitution,[status(thm)],[c1072]) ).
cnf(c1477,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(symmetry,[status(thm)],[c1476]) ).
cnf(c1478,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,op_d),X))),
inference(congruence,[status(thm)],[c900]) ).
cnf(c1479,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,op_d),X))) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,op_d),X)),
inference(substitution,[status(thm)],[c1441]) ).
cnf(c1480,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c1478,c1479]) ).
cnf(c1481,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c1477,c1480]) ).
cnf(c1482,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c436,c1481]) ).
cnf(c1483,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c1475,c1482]) ).
cnf(c1484,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,op_d),X))),
inference(congruence,[status(thm)],[c1483]) ).
cnf(c1485,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,op_d),X))) = rd(ld(mult(op_d,op_d),ld(mult(op_d,op_d),X)),ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,op_d),X))),
inference(congruence,[status(thm)],[c222]) ).
cnf(c1486,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d) = mult(op_d,mult(op_d,op_d)),
inference(substitution,[status(thm)],[c208]) ).
cnf(c1487,plain,
mult(op_d,mult(op_d,op_d)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d),
inference(symmetry,[status(thm)],[c1486]) ).
cnf(c1488,plain,
ld(mult(op_d,mult(op_d,op_d)),X) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d),X),
inference(congruence,[status(thm)],[c1487]) ).
cnf(c1489,plain,
op_d = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c48]) ).
cnf(c1490,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(congruence,[status(thm)],[c1489]) ).
cnf(c1491,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d),X) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X),
inference(congruence,[status(thm)],[c1490]) ).
cnf(c1492,plain,
i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c32]) ).
cnf(c1493,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c1492]) ).
cnf(c1494,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(congruence,[status(thm)],[c1493]) ).
cnf(c1495,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X) = ld(ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X),
inference(congruence,[status(thm)],[c1494]) ).
cnf(c1496,plain,
mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1497,plain,
ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(symmetry,[status(thm)],[c1496]) ).
cnf(c1498,plain,
ld(ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X) = ld(mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X),
inference(congruence,[status(thm)],[c1497]) ).
cnf(c1499,plain,
i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c1500,plain,
mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(symmetry,[status(thm)],[c1499]) ).
cnf(c1501,plain,
ld(mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X) = ld(i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X),
inference(congruence,[status(thm)],[c1500]) ).
cnf(c1502,plain,
mult(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1503,plain,
ld(i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X) = mult(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X),
inference(symmetry,[status(thm)],[c1502]) ).
cnf(c1504,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = mult(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X),
inference(substitution,[status(thm)],[c174]) ).
cnf(c1505,plain,
mult(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))),
inference(symmetry,[status(thm)],[c1504]) ).
cnf(c1506,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1507,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(mult(op_d,op_d),mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))),
inference(congruence,[status(thm)],[c76]) ).
cnf(c1508,plain,
mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(i(op_d),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1509,plain,
ld(mult(op_d,op_d),mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(mult(op_d,op_d),ld(i(op_d),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))),
inference(congruence,[status(thm)],[c1508]) ).
cnf(c1510,plain,
i(op_d) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(symmetry,[status(thm)],[c50]) ).
cnf(c1511,plain,
ld(i(op_d),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(congruence,[status(thm)],[c1510]) ).
cnf(c1512,plain,
ld(mult(op_d,op_d),ld(i(op_d),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))),
inference(congruence,[status(thm)],[c1511]) ).
cnf(c1513,plain,
ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(substitution,[status(thm)],[c1120]) ).
cnf(c1514,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1515,plain,
ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(op_d,ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(congruence,[status(thm)],[c1514]) ).
cnf(c1516,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(mult(op_d,op_d),X),
inference(congruence,[status(thm)],[c76]) ).
cnf(c1517,plain,
ld(op_d,ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(op_d,ld(mult(op_d,op_d),X)),
inference(congruence,[status(thm)],[c1516]) ).
cnf(c1518,plain,
ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(op_d,ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c1515,c1517]) ).
cnf(c1519,plain,
ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(op_d,ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c1513,c1518]) ).
cnf(c1520,plain,
ld(mult(op_d,op_d),ld(i(op_d),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(op_d,ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c1512,c1519]) ).
cnf(c1521,plain,
ld(mult(op_d,op_d),mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(op_d,ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c1509,c1520]) ).
cnf(c1522,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(op_d,ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c1507,c1521]) ).
cnf(c1523,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X))) = ld(op_d,ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c1506,c1522]) ).
cnf(c1524,plain,
mult(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(op_d,ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c1505,c1523]) ).
cnf(c1525,plain,
ld(i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X) = ld(op_d,ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c1503,c1524]) ).
cnf(c1526,plain,
ld(mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X) = ld(op_d,ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c1501,c1525]) ).
cnf(c1527,plain,
ld(ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X) = ld(op_d,ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c1498,c1526]) ).
cnf(c1528,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X) = ld(op_d,ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c1495,c1527]) ).
cnf(c1529,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d),X) = ld(op_d,ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c1491,c1528]) ).
cnf(c1530,plain,
ld(mult(op_d,mult(op_d,op_d)),X) = ld(op_d,ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c1488,c1529]) ).
cnf(c1531,plain,
rd(ld(mult(op_d,op_d),X),ld(mult(op_d,mult(op_d,op_d)),X)) = rd(ld(mult(op_d,op_d),X),ld(op_d,ld(mult(op_d,op_d),X))),
inference(congruence,[status(thm)],[c1530]) ).
cnf(c1532,plain,
rd(ld(mult(op_d,op_d),X),ld(op_d,ld(mult(op_d,op_d),X))) = op_d,
inference(substitution,[status(thm)],[c626]) ).
cnf(c1533,plain,
rd(ld(mult(op_d,op_d),X),ld(mult(op_d,mult(op_d,op_d)),X)) = op_d,
inference(transitivity,[status(thm)],[c1531,c1532]) ).
cnf(c1534,plain,
rd(ld(mult(op_d,op_d),ld(mult(op_d,op_d),X)),ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,op_d),X))) = op_d,
inference(substitution,[status(thm)],[c1533]) ).
cnf(c1535,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,op_d),X))) = op_d,
inference(transitivity,[status(thm)],[c1485,c1534]) ).
cnf(c1536,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = op_d,
inference(transitivity,[status(thm)],[c1484,c1535]) ).
cnf(c1537,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = op_d,
inference(substitution,[status(thm)],[c1536]) ).
cnf(c1538,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)))) = op_d,
inference(transitivity,[status(thm)],[c1474,c1537]) ).
cnf(c1539,plain,
ld(i(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = op_d,
inference(transitivity,[status(thm)],[c1467,c1538]) ).
cnf(c1540,plain,
ld(ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = op_d,
inference(transitivity,[status(thm)],[c1465,c1539]) ).
cnf(c1541,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = op_d,
inference(transitivity,[status(thm)],[c1462,c1540]) ).
cnf(c1542,plain,
op_d = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1541]) ).
cnf(c1543,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),op_d) = rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c1542]) ).
cnf(c1544,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),
inference(substitution,[status(thm)],[c626]) ).
cnf(c1545,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),op_d) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1543,c1544]) ).
cnf(c1546,plain,
rd(i(op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1460,c1545]) ).
cnf(c1547,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1459,c1546]) ).
cnf(c1548,plain,
ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c1547]) ).
cnf(c1549,plain,
ld(op_d,ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(op_d,ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c1548]) ).
cnf(c1550,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(congruence,[status(thm)],[c132]) ).
cnf(c1551,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c1550]) ).
cnf(c1552,plain,
ld(ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),rd(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(substitution,[status(thm)],[c582]) ).
cnf(c1553,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),rd(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(transitivity,[status(thm)],[c1551,c1552]) ).
cnf(c1554,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c1553]) ).
cnf(c1555,plain,
ld(op_d,ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c1554]) ).
cnf(c1556,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c1385]) ).
cnf(c1557,plain,
ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1556]) ).
cnf(c1558,plain,
mult(op_c,op_c) = i(mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c655]) ).
cnf(c1559,plain,
rd(mult(op_c,op_c),i(X)) = rd(i(mult(op_c,op_c)),i(X)),
inference(congruence,[status(thm)],[c1558]) ).
cnf(c1560,plain,
rd(i(mult(op_c,op_c)),i(X)) = rd(X,mult(op_c,op_c)),
inference(substitution,[status(thm)],[c628]) ).
cnf(c1561,plain,
rd(mult(op_c,op_c),i(X)) = rd(X,mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1559,c1560]) ).
cnf(c1562,plain,
rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(substitution,[status(thm)],[c1561]) ).
cnf(c1563,plain,
rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)) = rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c1562]) ).
cnf(c1564,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1563]) ).
cnf(c1565,plain,
i(mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(symmetry,[status(thm)],[c132]) ).
cnf(c1566,plain,
rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c1565]) ).
cnf(c1567,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1566]) ).
cnf(c1568,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(symmetry,[status(thm)],[c360]) ).
cnf(c1569,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,X))),
inference(congruence,[status(thm)],[c1348]) ).
cnf(c1570,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(op_d,X)),
inference(substitution,[status(thm)],[c1355]) ).
cnf(c1571,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1569,c1570]) ).
cnf(c1572,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1568,c1571]) ).
cnf(c1573,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(op_d,rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c1572]) ).
cnf(c1574,plain,
ld(rd(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(substitution,[status(thm)],[c494]) ).
cnf(c1575,plain,
rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(rd(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c1574]) ).
cnf(c1576,plain,
i(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(substitution,[status(thm)],[c496]) ).
cnf(c1577,plain,
rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = i(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1576]) ).
cnf(c1578,plain,
rd(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),i(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c1577]) ).
cnf(c1579,plain,
rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c132]) ).
cnf(c1580,plain,
rd(X,rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(X,rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1579]) ).
cnf(c1581,plain,
rd(X,X2) = i(rd(X2,X)),
inference(symmetry,[status(thm)],[c496]) ).
cnf(c1582,plain,
rd(rd(X,X2),i(X3)) = rd(i(rd(X2,X)),i(X3)),
inference(congruence,[status(thm)],[c1581]) ).
cnf(c1583,plain,
rd(i(rd(X2,X)),i(X3)) = rd(X3,rd(X2,X)),
inference(substitution,[status(thm)],[c628]) ).
cnf(c1584,plain,
rd(rd(X,X2),i(X3)) = rd(X3,rd(X2,X)),
inference(transitivity,[status(thm)],[c1582,c1583]) ).
cnf(c1585,plain,
rd(rd(mult(op_c,op_c),X2),i(X)) = rd(X,rd(X2,mult(op_c,op_c))),
inference(substitution,[status(thm)],[c1584]) ).
cnf(c1586,plain,
rd(X,mult(op_c,op_c)) = rd(mult(op_c,op_c),i(X)),
inference(symmetry,[status(thm)],[c1561]) ).
cnf(c1587,plain,
rd(X,rd(X2,mult(op_c,op_c))) = rd(X,rd(mult(op_c,op_c),i(X2))),
inference(congruence,[status(thm)],[c1586]) ).
cnf(c1588,plain,
rd(rd(mult(op_c,op_c),X2),i(X)) = rd(X,rd(mult(op_c,op_c),i(X2))),
inference(transitivity,[status(thm)],[c1585,c1587]) ).
cnf(c1589,plain,
rd(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),i(X)) = rd(X,rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c1588]) ).
cnf(c1590,plain,
rd(X,rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),i(X)),
inference(symmetry,[status(thm)],[c1589]) ).
cnf(c1591,plain,
rd(X,rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),i(X)),
inference(transitivity,[status(thm)],[c1580,c1590]) ).
cnf(c1592,plain,
rd(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),i(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c1591]) ).
cnf(c1593,plain,
rd(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),i(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)))) = rd(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c1592]) ).
cnf(c1594,plain,
rd(X,X2) = i(rd(X2,X)),
inference(symmetry,[status(thm)],[c496]) ).
cnf(c1595,plain,
rd(rd(X2,X),rd(X,X2)) = rd(rd(X2,X),i(rd(X2,X))),
inference(congruence,[status(thm)],[c1594]) ).
cnf(c1596,plain,
rd(rd(X2,X),i(rd(X2,X))) = ld(i(rd(X2,X)),rd(X2,X)),
inference(substitution,[status(thm)],[c681]) ).
cnf(c1597,plain,
ld(i(rd(X2,X)),rd(X2,X)) = ld(rd(X,X2),rd(X2,X)),
inference(congruence,[status(thm)],[c496]) ).
cnf(c1598,plain,
rd(rd(X2,X),i(rd(X2,X))) = ld(rd(X,X2),rd(X2,X)),
inference(transitivity,[status(thm)],[c1596,c1597]) ).
cnf(c1599,plain,
rd(rd(X2,X),rd(X,X2)) = ld(rd(X,X2),rd(X2,X)),
inference(transitivity,[status(thm)],[c1595,c1598]) ).
cnf(c1600,plain,
rd(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c1599]) ).
cnf(c1601,plain,
X = ld(rd(X2,X),X2),
inference(symmetry,[status(thm)],[c494]) ).
cnf(c1602,plain,
ld(rd(X2,X),X) = ld(rd(X2,X),ld(rd(X2,X),X2)),
inference(congruence,[status(thm)],[c1601]) ).
cnf(c1603,plain,
rd(X2,ld(rd(X2,X),X)) = rd(X2,ld(rd(X2,X),ld(rd(X2,X),X2))),
inference(congruence,[status(thm)],[c1602]) ).
cnf(c1604,plain,
rd(X2,ld(rd(X2,X),ld(rd(X2,X),X2))) = ld(i(rd(X2,X)),rd(X2,X)),
inference(substitution,[status(thm)],[c678]) ).
cnf(c1605,plain,
ld(i(rd(X2,X)),rd(X2,X)) = ld(rd(X,X2),rd(X2,X)),
inference(congruence,[status(thm)],[c496]) ).
cnf(c1606,plain,
rd(X2,ld(rd(X2,X),ld(rd(X2,X),X2))) = ld(rd(X,X2),rd(X2,X)),
inference(transitivity,[status(thm)],[c1604,c1605]) ).
cnf(c1607,plain,
rd(X2,ld(rd(X2,X),X)) = ld(rd(X,X2),rd(X2,X)),
inference(transitivity,[status(thm)],[c1603,c1606]) ).
cnf(c1608,plain,
rd(X,ld(rd(X,mult(op_c,op_c)),mult(op_c,op_c))) = ld(rd(mult(op_c,op_c),X),rd(X,mult(op_c,op_c))),
inference(substitution,[status(thm)],[c1607]) ).
cnf(c1609,plain,
ld(rd(mult(op_c,op_c),X),rd(X,mult(op_c,op_c))) = rd(X,ld(rd(X,mult(op_c,op_c)),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1608]) ).
cnf(c1610,plain,
rd(X,mult(op_c,op_c)) = rd(mult(op_c,op_c),i(X)),
inference(symmetry,[status(thm)],[c1561]) ).
cnf(c1611,plain,
ld(rd(X,mult(op_c,op_c)),mult(op_c,op_c)) = ld(rd(mult(op_c,op_c),i(X)),mult(op_c,op_c)),
inference(congruence,[status(thm)],[c1610]) ).
cnf(c1612,plain,
rd(X,ld(rd(X,mult(op_c,op_c)),mult(op_c,op_c))) = rd(X,ld(rd(mult(op_c,op_c),i(X)),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1611]) ).
cnf(c1613,plain,
ld(rd(mult(op_c,op_c),i(X)),mult(op_c,op_c)) = i(X),
inference(substitution,[status(thm)],[c494]) ).
cnf(c1614,plain,
rd(X,ld(rd(mult(op_c,op_c),i(X)),mult(op_c,op_c))) = rd(X,i(X)),
inference(congruence,[status(thm)],[c1613]) ).
cnf(c1615,plain,
rd(X,ld(rd(mult(op_c,op_c),i(X)),mult(op_c,op_c))) = ld(i(X),X),
inference(transitivity,[status(thm)],[c1614,c681]) ).
cnf(c1616,plain,
rd(X,ld(rd(X,mult(op_c,op_c)),mult(op_c,op_c))) = ld(i(X),X),
inference(transitivity,[status(thm)],[c1612,c1615]) ).
cnf(c1617,plain,
ld(rd(mult(op_c,op_c),X),rd(X,mult(op_c,op_c))) = ld(i(X),X),
inference(transitivity,[status(thm)],[c1609,c1616]) ).
cnf(c1618,plain,
ld(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(substitution,[status(thm)],[c1617]) ).
cnf(c1619,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c279]) ).
cnf(c1620,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = op_d,
inference(substitution,[status(thm)],[c227]) ).
cnf(c1621,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = op_d,
inference(transitivity,[status(thm)],[c1619,c1620]) ).
cnf(c1622,plain,
ld(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = op_d,
inference(transitivity,[status(thm)],[c1618,c1621]) ).
cnf(c1623,plain,
rd(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = op_d,
inference(transitivity,[status(thm)],[c1600,c1622]) ).
cnf(c1624,plain,
rd(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),i(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)))) = op_d,
inference(transitivity,[status(thm)],[c1593,c1623]) ).
cnf(c1625,plain,
rd(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = op_d,
inference(transitivity,[status(thm)],[c1578,c1624]) ).
cnf(c1626,plain,
ld(rd(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(op_d,rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c1625]) ).
cnf(c1627,plain,
rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(op_d,rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1575,c1626]) ).
cnf(c1628,plain,
ld(op_d,rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c1627]) ).
cnf(c1629,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(op_d,rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1628]) ).
cnf(c1630,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(transitivity,[status(thm)],[c1573,c1629]) ).
cnf(c1631,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c1630]) ).
cnf(c1632,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1567,c1631]) ).
cnf(c1633,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1564,c1632]) ).
cnf(c1634,plain,
ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1557,c1633]) ).
cnf(c1635,plain,
ld(op_d,ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1555,c1634]) ).
cnf(c1636,plain,
ld(op_d,ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1549,c1635]) ).
cnf(c1637,plain,
ld(op_d,ld(rd(i(op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1458,c1636]) ).
cnf(c1638,plain,
ld(op_d,ld(rd(ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),op_d),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1454,c1637]) ).
cnf(c1639,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1445,c1638]) ).
cnf(c1640,plain,
ld(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1444,c1639]) ).
cnf(c1641,plain,
ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1429,c1640]) ).
cnf(c1642,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c1641]) ).
cnf(c1643,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1642]) ).
cnf(c1644,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(symmetry,[status(thm)],[c1045]) ).
cnf(c1645,plain,
ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c1644]) ).
cnf(c1646,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1645]) ).
cnf(c1647,plain,
mult(op_d,mult(op_d,op_d)) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c735]) ).
cnf(c1648,plain,
rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(congruence,[status(thm)],[c1647]) ).
cnf(c1649,plain,
ld(rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c1648]) ).
cnf(c1650,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1649]) ).
cnf(c1651,plain,
rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c1038]) ).
cnf(c1652,plain,
ld(rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c1651]) ).
cnf(c1653,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1652]) ).
cnf(c1654,plain,
mult(op_d,mult(op_d,mult(op_d,X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X),
inference(symmetry,[status(thm)],[c799]) ).
cnf(c1655,plain,
ld(rd(X2,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,X)))) = ld(rd(X2,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(congruence,[status(thm)],[c1654]) ).
cnf(c1656,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(X2,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,X))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(X2,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))),
inference(congruence,[status(thm)],[c1655]) ).
cnf(c1657,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(X2,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X2),X),
inference(substitution,[status(thm)],[c557]) ).
cnf(c1658,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(mult(op_d,mult(op_d,op_d)),X),
inference(congruence,[status(thm)],[c735]) ).
cnf(c1659,plain,
ld(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X2),X) = ld(ld(mult(op_d,mult(op_d,op_d)),X2),X),
inference(congruence,[status(thm)],[c1658]) ).
cnf(c1660,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(X2,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(ld(mult(op_d,mult(op_d,op_d)),X2),X),
inference(transitivity,[status(thm)],[c1657,c1659]) ).
cnf(c1661,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(X2,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,X))))) = ld(ld(mult(op_d,mult(op_d,op_d)),X2),X),
inference(transitivity,[status(thm)],[c1656,c1660]) ).
cnf(c1662,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))),mult(op_d,op_d)),
inference(substitution,[status(thm)],[c1661]) ).
cnf(c1663,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(i(mult(op_d,mult(op_d,op_d))),X),
inference(congruence,[status(thm)],[c88]) ).
cnf(c1664,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,op_d)),ld(i(mult(op_d,mult(op_d,op_d))),X)),
inference(congruence,[status(thm)],[c1663]) ).
cnf(c1665,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(i(mult(op_d,mult(op_d,op_d))),X)) = X,
inference(substitution,[status(thm)],[c469]) ).
cnf(c1666,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = X,
inference(transitivity,[status(thm)],[c1664,c1665]) ).
cnf(c1667,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)))) = rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(substitution,[status(thm)],[c1666]) ).
cnf(c1668,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)))),
inference(symmetry,[status(thm)],[c1667]) ).
cnf(c1669,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c588]) ).
cnf(c1670,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)))) = ld(mult(op_d,mult(op_d,op_d)),ld(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(congruence,[status(thm)],[c1669]) ).
cnf(c1671,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(mult(op_d,mult(op_d,op_d)),ld(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(transitivity,[status(thm)],[c1668,c1670]) ).
cnf(c1672,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(substitution,[status(thm)],[c1671]) ).
cnf(c1673,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1672]) ).
cnf(c1674,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),
inference(transitivity,[status(thm)],[c827,c1016]) ).
cnf(c1675,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),
inference(transitivity,[status(thm)],[c1673,c1674]) ).
cnf(c1676,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(symmetry,[status(thm)],[c1675]) ).
cnf(c1677,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(congruence,[status(thm)],[c1676]) ).
cnf(c1678,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(substitution,[status(thm)],[c992]) ).
cnf(c1679,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(symmetry,[status(thm)],[c1678]) ).
cnf(c1680,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(congruence,[status(thm)],[c88]) ).
cnf(c1681,plain,
ld(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c831]) ).
cnf(c1682,plain,
ld(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = mult(op_c,op_c),
inference(substitution,[status(thm)],[c13]) ).
cnf(c1683,plain,
ld(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = mult(op_c,op_c),
inference(transitivity,[status(thm)],[c1681,c1682]) ).
cnf(c1684,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = mult(op_c,op_c),
inference(transitivity,[status(thm)],[c1680,c1683]) ).
cnf(c1685,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = mult(op_c,op_c),
inference(transitivity,[status(thm)],[c1679,c1684]) ).
cnf(c1686,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))) = mult(op_c,op_c),
inference(transitivity,[status(thm)],[c1677,c1685]) ).
cnf(c1687,plain,
ld(ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))),mult(op_d,op_d)) = ld(mult(op_c,op_c),mult(op_d,op_d)),
inference(congruence,[status(thm)],[c1686]) ).
cnf(c1688,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_c,op_c),mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c1662,c1687]) ).
cnf(c1689,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_c,op_c),mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c1653,c1688]) ).
cnf(c1690,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_c,op_c),mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c1650,c1689]) ).
cnf(c1691,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_c,op_c),mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c1646,c1690]) ).
cnf(c1692,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_c,op_c),mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c1643,c1691]) ).
cnf(c1693,plain,
ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_c,op_c),mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c1428,c1692]) ).
cnf(c1694,plain,
ld(mult(op_c,op_c),mult(op_d,op_d)) = ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c1693]) ).
cnf(c1695,plain,
ld(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_c,op_c),mult(op_d,op_d))) = ld(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1694]) ).
cnf(c1696,plain,
ld(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c13]) ).
cnf(c1697,plain,
ld(i(mult(op_d,mult(op_d,op_d))),ld(mult(op_c,op_c),mult(op_d,op_d))) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c1695,c1696]) ).
cnf(c1698,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d))) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c1426,c1697]) ).
cnf(c1699,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d)))) = i(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c1698]) ).
cnf(c1700,plain,
i(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(substitution,[status(thm)],[c496]) ).
cnf(c1701,plain,
rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(substitution,[status(thm)],[c1561]) ).
cnf(c1702,plain,
rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)) = rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c1701]) ).
cnf(c1703,plain,
i(mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(symmetry,[status(thm)],[c132]) ).
cnf(c1704,plain,
rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c1703]) ).
cnf(c1705,plain,
rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1702,c1704]) ).
cnf(c1706,plain,
i(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1700,c1705]) ).
cnf(c1707,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d)))) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1699,c1706]) ).
cnf(c1708,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(ld(mult(op_c,op_c),mult(op_d,op_d)))) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1425,c1707]) ).
cnf(c1709,plain,
ld(mult(op_d,mult(op_d,op_d)),i(ld(mult(op_c,op_c),mult(op_d,op_d)))) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1423,c1708]) ).
cnf(c1710,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),i(mult(op_d,op_d)))) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1421,c1709]) ).
cnf(c1711,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1418,c1710]) ).
cnf(c1712,plain,
rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c1711]) ).
cnf(c1713,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_c,op_c),i(mult(op_d,op_d))),
inference(congruence,[status(thm)],[c78]) ).
cnf(c1714,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),i(mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c1713]) ).
cnf(c1715,plain,
i(ld(mult(op_c,op_c),mult(op_d,op_d))) = ld(mult(op_c,op_c),i(mult(op_d,op_d))),
inference(substitution,[status(thm)],[c1024]) ).
cnf(c1716,plain,
ld(mult(op_c,op_c),i(mult(op_d,op_d))) = i(ld(mult(op_c,op_c),mult(op_d,op_d))),
inference(symmetry,[status(thm)],[c1715]) ).
cnf(c1717,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),i(mult(op_d,op_d)))) = ld(mult(op_d,mult(op_d,op_d)),i(ld(mult(op_c,op_c),mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c1716]) ).
cnf(c1718,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d)))) = ld(mult(op_d,mult(op_d,op_d)),i(ld(mult(op_c,op_c),mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c296]) ).
cnf(c1719,plain,
ld(mult(op_d,mult(op_d,op_d)),i(ld(mult(op_c,op_c),mult(op_d,op_d)))) = i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d)))),
inference(symmetry,[status(thm)],[c1718]) ).
cnf(c1720,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c1016]) ).
cnf(c1721,plain,
ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(congruence,[status(thm)],[c1720]) ).
cnf(c1722,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)) = ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c992]) ).
cnf(c1723,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(congruence,[status(thm)],[c1722]) ).
cnf(c1724,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(substitution,[status(thm)],[c360]) ).
cnf(c1725,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))))),
inference(symmetry,[status(thm)],[c1724]) ).
cnf(c1726,plain,
mult(op_c,mult(op_c,mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(substitution,[status(thm)],[c565]) ).
cnf(c1727,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1726]) ).
cnf(c1728,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c1727]) ).
cnf(c1729,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,mult(op_c,op_c))))),
inference(congruence,[status(thm)],[c1728]) ).
cnf(c1730,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,mult(op_c,op_c)))) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(substitution,[status(thm)],[c575]) ).
cnf(c1731,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,mult(op_c,op_c))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(congruence,[status(thm)],[c1730]) ).
cnf(c1732,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),op_d),
inference(congruence,[status(thm)],[c48]) ).
cnf(c1733,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),op_d) = mult(op_d,op_d),
inference(substitution,[status(thm)],[c151]) ).
cnf(c1734,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(op_d,op_d),
inference(transitivity,[status(thm)],[c1732,c1733]) ).
cnf(c1735,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_d,op_d),
inference(transitivity,[status(thm)],[c1731,c1734]) ).
cnf(c1736,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))))) = mult(op_d,op_d),
inference(transitivity,[status(thm)],[c1729,c1735]) ).
cnf(c1737,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = mult(op_d,op_d),
inference(transitivity,[status(thm)],[c1725,c1736]) ).
cnf(c1738,plain,
mult(op_d,op_d) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c1737]) ).
cnf(c1739,plain,
ld(rd(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,op_d)) = ld(rd(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(congruence,[status(thm)],[c1738]) ).
cnf(c1740,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,op_d))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))))),
inference(congruence,[status(thm)],[c1739]) ).
cnf(c1741,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))))) = ld(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(substitution,[status(thm)],[c557]) ).
cnf(c1742,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(mult(op_d,mult(op_d,op_d)),X),
inference(congruence,[status(thm)],[c735]) ).
cnf(c1743,plain,
ld(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(ld(mult(op_d,mult(op_d,op_d)),X),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(congruence,[status(thm)],[c1742]) ).
cnf(c1744,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))))) = ld(ld(mult(op_d,mult(op_d,op_d)),X),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(transitivity,[status(thm)],[c1741,c1743]) ).
cnf(c1745,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(X,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,op_d))) = ld(ld(mult(op_d,mult(op_d,op_d)),X),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(transitivity,[status(thm)],[c1740,c1744]) ).
cnf(c1746,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,op_d))) = ld(ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(substitution,[status(thm)],[c1745]) ).
cnf(c1747,plain,
ld(ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,op_d))),
inference(symmetry,[status(thm)],[c1746]) ).
cnf(c1748,plain,
rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c738]) ).
cnf(c1749,plain,
rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1748]) ).
cnf(c1750,plain,
ld(rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,op_d)) = ld(rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),mult(op_d,op_d)),
inference(congruence,[status(thm)],[c1749]) ).
cnf(c1751,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,op_d))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),mult(op_d,op_d))),
inference(congruence,[status(thm)],[c1750]) ).
cnf(c1752,plain,
rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c735]) ).
cnf(c1753,plain,
ld(rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),mult(op_d,op_d)) = ld(rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),mult(op_d,op_d)),
inference(congruence,[status(thm)],[c1752]) ).
cnf(c1754,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),mult(op_d,op_d))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),mult(op_d,op_d))),
inference(congruence,[status(thm)],[c1753]) ).
cnf(c1755,plain,
rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))) = rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c1016]) ).
cnf(c1756,plain,
ld(rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),mult(op_d,op_d)) = ld(rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))),mult(op_d,op_d)),
inference(congruence,[status(thm)],[c1755]) ).
cnf(c1757,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),mult(op_d,op_d))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))),mult(op_d,op_d))),
inference(congruence,[status(thm)],[c1756]) ).
cnf(c1758,plain,
rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))) = mult(op_c,op_c),
inference(substitution,[status(thm)],[c626]) ).
cnf(c1759,plain,
ld(rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))),mult(op_d,op_d)) = ld(mult(op_c,op_c),mult(op_d,op_d)),
inference(congruence,[status(thm)],[c1758]) ).
cnf(c1760,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))),mult(op_d,op_d))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d))),
inference(congruence,[status(thm)],[c1759]) ).
cnf(c1761,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),mult(op_d,op_d))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d))),
inference(transitivity,[status(thm)],[c1757,c1760]) ).
cnf(c1762,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c))),mult(op_d,op_d))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d))),
inference(transitivity,[status(thm)],[c1754,c1761]) ).
cnf(c1763,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(rd(ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_d,op_d))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d))),
inference(transitivity,[status(thm)],[c1751,c1762]) ).
cnf(c1764,plain,
ld(ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d))),
inference(transitivity,[status(thm)],[c1747,c1763]) ).
cnf(c1765,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d))),
inference(transitivity,[status(thm)],[c1723,c1764]) ).
cnf(c1766,plain,
ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d))),
inference(transitivity,[status(thm)],[c1721,c1765]) ).
cnf(c1767,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d))) = ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c1766]) ).
cnf(c1768,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d)))) = i(ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(congruence,[status(thm)],[c1767]) ).
cnf(c1769,plain,
i(ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(i(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(substitution,[status(thm)],[c369]) ).
cnf(c1770,plain,
i(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))) = ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c1024]) ).
cnf(c1771,plain,
ld(i(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,op_d)))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(congruence,[status(thm)],[c1770]) ).
cnf(c1772,plain,
i(mult(op_d,mult(op_d,op_d))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c88]) ).
cnf(c1773,plain,
ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,op_d)))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1772]) ).
cnf(c1774,plain,
ld(ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,op_d)))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(congruence,[status(thm)],[c1773]) ).
cnf(c1775,plain,
ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d),
inference(congruence,[status(thm)],[c48]) ).
cnf(c1776,plain,
ld(ld(mult(op_c,op_c),i(mult(op_d,mult(op_d,op_d)))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d),
inference(transitivity,[status(thm)],[c1774,c1775]) ).
cnf(c1777,plain,
ld(i(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d)))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d),
inference(transitivity,[status(thm)],[c1771,c1776]) ).
cnf(c1778,plain,
i(ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d),
inference(transitivity,[status(thm)],[c1769,c1777]) ).
cnf(c1779,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_c,op_c),mult(op_d,op_d)))) = ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d),
inference(transitivity,[status(thm)],[c1768,c1778]) ).
cnf(c1780,plain,
ld(mult(op_d,mult(op_d,op_d)),i(ld(mult(op_c,op_c),mult(op_d,op_d)))) = ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d),
inference(transitivity,[status(thm)],[c1719,c1779]) ).
cnf(c1781,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),i(mult(op_d,op_d)))) = ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d),
inference(transitivity,[status(thm)],[c1717,c1780]) ).
cnf(c1782,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d),
inference(transitivity,[status(thm)],[c1714,c1781]) ).
cnf(c1783,plain,
ld(op_d,rd(op_d,ld(op_d,ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d),
inference(substitution,[status(thm)],[c588]) ).
cnf(c1784,plain,
ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d) = ld(op_d,rd(op_d,ld(op_d,ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(symmetry,[status(thm)],[c1783]) ).
cnf(c1785,plain,
ld(op_d,ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(op_d,ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c831]) ).
cnf(c1786,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c1787,plain,
X = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(symmetry,[status(thm)],[c1786]) ).
cnf(c1788,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))),
inference(congruence,[status(thm)],[c1787]) ).
cnf(c1789,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))),
inference(substitution,[status(thm)],[c1083]) ).
cnf(c1790,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))),
inference(symmetry,[status(thm)],[c1789]) ).
cnf(c1791,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)),
inference(substitution,[status(thm)],[c1126]) ).
cnf(c1792,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1793,plain,
ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(op_d,ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)),
inference(congruence,[status(thm)],[c1792]) ).
cnf(c1794,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(mult(op_d,mult(op_d,op_d)),X),
inference(congruence,[status(thm)],[c735]) ).
cnf(c1795,plain,
ld(op_d,ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X)) = ld(op_d,ld(mult(op_d,mult(op_d,op_d)),X)),
inference(congruence,[status(thm)],[c1794]) ).
cnf(c1796,plain,
ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X)) = ld(op_d,ld(mult(op_d,mult(op_d,op_d)),X)),
inference(transitivity,[status(thm)],[c1793,c1795]) ).
cnf(c1797,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(op_d,ld(mult(op_d,mult(op_d,op_d)),X)),
inference(transitivity,[status(thm)],[c1791,c1796]) ).
cnf(c1798,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),X))) = ld(op_d,ld(mult(op_d,mult(op_d,op_d)),X)),
inference(transitivity,[status(thm)],[c1790,c1797]) ).
cnf(c1799,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X) = ld(op_d,ld(mult(op_d,mult(op_d,op_d)),X)),
inference(transitivity,[status(thm)],[c1788,c1798]) ).
cnf(c1800,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)) = ld(op_d,ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c1799]) ).
cnf(c1801,plain,
ld(op_d,ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c1800]) ).
cnf(c1802,plain,
ld(op_d,ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1785,c1801]) ).
cnf(c1803,plain,
rd(op_d,ld(op_d,ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = rd(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1802]) ).
cnf(c1804,plain,
ld(op_d,rd(op_d,ld(op_d,ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(op_d,rd(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c1803]) ).
cnf(c1805,plain,
op_d = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c48]) ).
cnf(c1806,plain,
rd(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1805]) ).
cnf(c1807,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),
inference(congruence,[status(thm)],[c132]) ).
cnf(c1808,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),X) = rd(ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),X),
inference(congruence,[status(thm)],[c1807]) ).
cnf(c1809,plain,
rd(ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),X) = rd(i(X),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c658]) ).
cnf(c1810,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),X) = rd(i(X),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(transitivity,[status(thm)],[c1808,c1809]) ).
cnf(c1811,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c1810]) ).
cnf(c1812,plain,
rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c1811]) ).
cnf(c1813,plain,
i(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)))) = rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(substitution,[status(thm)],[c496]) ).
cnf(c1814,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = i(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c1813]) ).
cnf(c1815,plain,
i(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)))) = i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1547]) ).
cnf(c1816,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X),
inference(congruence,[status(thm)],[c132]) ).
cnf(c1817,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = i(ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X)),
inference(congruence,[status(thm)],[c1816]) ).
cnf(c1818,plain,
i(ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),i(X)),
inference(substitution,[status(thm)],[c97]) ).
cnf(c1819,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),i(X)),
inference(transitivity,[status(thm)],[c1817,c1818]) ).
cnf(c1820,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),i(mult(op_c,op_c))),
inference(substitution,[status(thm)],[c1819]) ).
cnf(c1821,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),i(mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(congruence,[status(thm)],[c655]) ).
cnf(c1822,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1820,c1821]) ).
cnf(c1823,plain,
i(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1815,c1822]) ).
cnf(c1824,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1814,c1823]) ).
cnf(c1825,plain,
rd(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1812,c1824]) ).
cnf(c1826,plain,
rd(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1806,c1825]) ).
cnf(c1827,plain,
ld(op_d,rd(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)))) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1826]) ).
cnf(c1828,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c1385]) ).
cnf(c1829,plain,
ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c1828]) ).
cnf(c1830,plain,
ld(op_d,rd(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1827,c1829]) ).
cnf(c1831,plain,
ld(op_d,rd(op_d,ld(op_d,ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1804,c1830]) ).
cnf(c1832,plain,
ld(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),op_d) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1784,c1831]) ).
cnf(c1833,plain,
ld(mult(op_d,mult(op_d,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1782,c1832]) ).
cnf(c1834,plain,
rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c1712,c1833]) ).
cnf(c1835,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c1834]) ).
cnf(c1836,plain,
ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = ld(mult(op_d,op_d),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1835]) ).
cnf(c1837,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_d)) = mult(op_d,mult(op_d,op_d)),
inference(substitution,[status(thm)],[c151]) ).
cnf(c1838,plain,
mult(op_d,mult(op_d,op_d)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_d)),
inference(symmetry,[status(thm)],[c1837]) ).
cnf(c1839,plain,
ld(mult(op_d,mult(op_d,op_d)),X) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_d)),X),
inference(congruence,[status(thm)],[c1838]) ).
cnf(c1840,plain,
mult(op_d,op_d) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(symmetry,[status(thm)],[c76]) ).
cnf(c1841,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_d)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(congruence,[status(thm)],[c1840]) ).
cnf(c1842,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_d)),X) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X),
inference(congruence,[status(thm)],[c1841]) ).
cnf(c1843,plain,
i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(substitution,[status(thm)],[c32]) ).
cnf(c1844,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(symmetry,[status(thm)],[c1843]) ).
cnf(c1845,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(congruence,[status(thm)],[c1844]) ).
cnf(c1846,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X),
inference(congruence,[status(thm)],[c1845]) ).
cnf(c1847,plain,
mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1848,plain,
ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c1847]) ).
cnf(c1849,plain,
ld(ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X),
inference(congruence,[status(thm)],[c1848]) ).
cnf(c1850,plain,
i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c1851,plain,
mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c1850]) ).
cnf(c1852,plain,
ld(mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X),
inference(congruence,[status(thm)],[c1851]) ).
cnf(c1853,plain,
mult(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1854,plain,
ld(i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = mult(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X),
inference(symmetry,[status(thm)],[c1853]) ).
cnf(c1855,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c53]) ).
cnf(c1856,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c1855]) ).
cnf(c1857,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(congruence,[status(thm)],[c1856]) ).
cnf(c1858,plain,
mult(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = mult(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X),
inference(congruence,[status(thm)],[c1857]) ).
cnf(c1859,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = mult(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X),
inference(substitution,[status(thm)],[c174]) ).
cnf(c1860,plain,
mult(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(symmetry,[status(thm)],[c1859]) ).
cnf(c1861,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1862,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(congruence,[status(thm)],[c48]) ).
cnf(c1863,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1864,plain,
ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(op_d,ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(congruence,[status(thm)],[c1863]) ).
cnf(c1865,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(congruence,[status(thm)],[c48]) ).
cnf(c1866,plain,
ld(op_d,ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(op_d,ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(congruence,[status(thm)],[c1865]) ).
cnf(c1867,plain,
ld(mult(op_d,op_d),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(op_d,ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(substitution,[status(thm)],[c196]) ).
cnf(c1868,plain,
ld(op_d,ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,op_d),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(symmetry,[status(thm)],[c1867]) ).
cnf(c1869,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1870,plain,
ld(mult(op_d,op_d),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,op_d),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X)),
inference(congruence,[status(thm)],[c1869]) ).
cnf(c1871,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(op_d,X),
inference(congruence,[status(thm)],[c48]) ).
cnf(c1872,plain,
ld(mult(op_d,op_d),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X)) = ld(mult(op_d,op_d),ld(op_d,X)),
inference(congruence,[status(thm)],[c1871]) ).
cnf(c1873,plain,
ld(mult(op_d,op_d),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,op_d),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1870,c1872]) ).
cnf(c1874,plain,
ld(op_d,ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,op_d),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1868,c1873]) ).
cnf(c1875,plain,
ld(op_d,ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,op_d),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1866,c1874]) ).
cnf(c1876,plain,
ld(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,op_d),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1864,c1875]) ).
cnf(c1877,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,op_d),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1862,c1876]) ).
cnf(c1878,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,op_d),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1861,c1877]) ).
cnf(c1879,plain,
mult(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),X) = ld(mult(op_d,op_d),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1860,c1878]) ).
cnf(c1880,plain,
mult(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(mult(op_d,op_d),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1858,c1879]) ).
cnf(c1881,plain,
ld(i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(mult(op_d,op_d),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1854,c1880]) ).
cnf(c1882,plain,
ld(mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(mult(op_d,op_d),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1852,c1881]) ).
cnf(c1883,plain,
ld(ld(i(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(mult(op_d,op_d),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1849,c1882]) ).
cnf(c1884,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(mult(op_d,op_d),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1846,c1883]) ).
cnf(c1885,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_d)),X) = ld(mult(op_d,op_d),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1842,c1884]) ).
cnf(c1886,plain,
ld(mult(op_d,mult(op_d,op_d)),X) = ld(mult(op_d,op_d),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1839,c1885]) ).
cnf(c1887,plain,
ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,op_d),ld(op_d,rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c1886]) ).
cnf(c1888,plain,
ld(op_d,rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c1627]) ).
cnf(c1889,plain,
ld(mult(op_d,op_d),ld(op_d,rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,op_d),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1888]) ).
cnf(c1890,plain,
ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,op_d),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(transitivity,[status(thm)],[c1887,c1889]) ).
cnf(c1891,plain,
ld(mult(op_d,op_d),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c1890]) ).
cnf(c1892,plain,
ld(mult(op_d,op_d),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_c,op_c),mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c1891,c1693]) ).
cnf(c1893,plain,
ld(mult(op_d,op_d),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = ld(mult(op_c,op_c),mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c1836,c1892]) ).
cnf(c1894,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)) = ld(mult(op_c,op_c),mult(op_d,op_d)),
inference(transitivity,[status(thm)],[c1416,c1893]) ).
cnf(c1895,plain,
ld(mult(op_c,op_c),mult(op_d,op_d)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c1894]) ).
cnf(c1896,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))),ld(mult(op_c,op_c),mult(op_d,op_d))) = rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1895]) ).
cnf(c1897,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = rd(ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1305]) ).
cnf(c1898,plain,
rd(ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = rd(ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,op_c),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1271]) ).
cnf(c1899,plain,
rd(ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,op_c),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = mult(op_d,op_c),
inference(substitution,[status(thm)],[c626]) ).
cnf(c1900,plain,
rd(ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = mult(op_d,op_c),
inference(transitivity,[status(thm)],[c1898,c1899]) ).
cnf(c1901,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = mult(op_d,op_c),
inference(transitivity,[status(thm)],[c1897,c1900]) ).
cnf(c1902,plain,
rd(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))),ld(mult(op_c,op_c),mult(op_d,op_d))) = mult(op_d,op_c),
inference(transitivity,[status(thm)],[c1896,c1901]) ).
cnf(c1903,plain,
rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c))))) = mult(op_d,op_c),
inference(transitivity,[status(thm)],[c1403,c1902]) ).
cnf(c1904,plain,
rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,op_d)),i(mult(op_c,mult(op_c,op_c))))) = mult(op_d,op_c),
inference(transitivity,[status(thm)],[c1395,c1903]) ).
cnf(c1905,plain,
rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,op_d)),op_c)) = mult(op_d,op_c),
inference(transitivity,[status(thm)],[c1392,c1904]) ).
cnf(c1906,plain,
rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))) = mult(op_d,op_c),
inference(transitivity,[status(thm)],[c1389,c1905]) ).
cnf(c1907,plain,
mult(op_d,op_c) = rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))),
inference(symmetry,[status(thm)],[c1906]) ).
cnf(c1908,plain,
ld(mult(op_d,op_c),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(congruence,[status(thm)],[c1907]) ).
cnf(c1909,plain,
ld(rd(ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)),
inference(substitution,[status(thm)],[c494]) ).
cnf(c1910,plain,
ld(mult(op_d,op_c),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1908,c1909]) ).
cnf(c1911,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)) = ld(mult(op_d,op_c),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c1910]) ).
cnf(c1912,plain,
ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))) = ld(mult(op_d,op_c),ld(mult(op_d,op_c),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(congruence,[status(thm)],[c1911]) ).
cnf(c1913,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(symmetry,[status(thm)],[c925]) ).
cnf(c1914,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c1915,plain,
X = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(symmetry,[status(thm)],[c1914]) ).
cnf(c1916,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(congruence,[status(thm)],[c1915]) ).
cnf(c1917,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))),
inference(congruence,[status(thm)],[c1916]) ).
cnf(c1918,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(substitution,[status(thm)],[c360]) ).
cnf(c1919,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c1920,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X)),
inference(congruence,[status(thm)],[c1919]) ).
cnf(c1921,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(op_d,X),
inference(congruence,[status(thm)],[c48]) ).
cnf(c1922,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,X)),
inference(congruence,[status(thm)],[c1921]) ).
cnf(c1923,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1920,c1922]) ).
cnf(c1924,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1918,c1923]) ).
cnf(c1925,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1917,c1924]) ).
cnf(c1926,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,X)),
inference(transitivity,[status(thm)],[c1913,c1925]) ).
cnf(c1927,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c1926]) ).
cnf(c1928,plain,
ld(op_d,rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c1627]) ).
cnf(c1929,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1928]) ).
cnf(c1930,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(transitivity,[status(thm)],[c1927,c1929]) ).
cnf(c1931,plain,
rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c132]) ).
cnf(c1932,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1931]) ).
cnf(c1933,plain,
rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(substitution,[status(thm)],[c1561]) ).
cnf(c1934,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1933]) ).
cnf(c1935,plain,
i(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
inference(substitution,[status(thm)],[c496]) ).
cnf(c1936,plain,
rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)) = i(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c1935]) ).
cnf(c1937,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c1936]) ).
cnf(c1938,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(i(mult(op_d,mult(op_d,op_d))),i(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c88]) ).
cnf(c1939,plain,
i(ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(i(mult(op_d,mult(op_d,op_d))),i(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(substitution,[status(thm)],[c369]) ).
cnf(c1940,plain,
ld(i(mult(op_d,mult(op_d,op_d))),i(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = i(ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c1939]) ).
cnf(c1941,plain,
i(ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = i(ld(mult(op_c,op_c),mult(op_d,op_d))),
inference(congruence,[status(thm)],[c1693]) ).
cnf(c1942,plain,
i(ld(mult(op_c,op_c),mult(op_d,op_d))) = ld(mult(op_c,op_c),i(mult(op_d,op_d))),
inference(substitution,[status(thm)],[c1024]) ).
cnf(c1943,plain,
i(mult(op_d,op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c78]) ).
cnf(c1944,plain,
ld(mult(op_c,op_c),i(mult(op_d,op_d))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(congruence,[status(thm)],[c1943]) ).
cnf(c1945,plain,
i(ld(mult(op_c,op_c),mult(op_d,op_d))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(transitivity,[status(thm)],[c1942,c1944]) ).
cnf(c1946,plain,
i(ld(mult(op_d,mult(op_d,op_d)),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(transitivity,[status(thm)],[c1941,c1945]) ).
cnf(c1947,plain,
ld(i(mult(op_d,mult(op_d,op_d))),i(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(transitivity,[status(thm)],[c1940,c1946]) ).
cnf(c1948,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(transitivity,[status(thm)],[c1938,c1947]) ).
cnf(c1949,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,op_c))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(transitivity,[status(thm)],[c1937,c1948]) ).
cnf(c1950,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),i(mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(transitivity,[status(thm)],[c1934,c1949]) ).
cnf(c1951,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(transitivity,[status(thm)],[c1932,c1950]) ).
cnf(c1952,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(transitivity,[status(thm)],[c1930,c1951]) ).
cnf(c1953,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c1952]) ).
cnf(c1954,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1834]) ).
cnf(c1955,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))),
inference(congruence,[status(thm)],[c1385]) ).
cnf(c1956,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))),
inference(substitution,[status(thm)],[c1348]) ).
cnf(c1957,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))),
inference(symmetry,[status(thm)],[c1956]) ).
cnf(c1958,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(substitution,[status(thm)],[c925]) ).
cnf(c1959,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,op_d),X),
inference(transitivity,[status(thm)],[c1958,c1108]) ).
cnf(c1960,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X))) = ld(mult(op_d,op_d),X),
inference(transitivity,[status(thm)],[c1957,c1959]) ).
cnf(c1961,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X)) = ld(mult(op_d,op_d),X),
inference(transitivity,[status(thm)],[c1955,c1960]) ).
cnf(c1962,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = ld(mult(op_d,op_d),mult(op_c,op_c)),
inference(substitution,[status(thm)],[c1961]) ).
cnf(c1963,plain,
mult(op_c,op_c) = i(mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c655]) ).
cnf(c1964,plain,
ld(mult(op_d,op_d),mult(op_c,op_c)) = ld(mult(op_d,op_d),i(mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1963]) ).
cnf(c1965,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = ld(mult(op_d,op_d),i(mult(op_c,op_c))),
inference(substitution,[status(thm)],[c408]) ).
cnf(c1966,plain,
ld(mult(op_d,op_d),i(mult(op_c,op_c))) = i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1965]) ).
cnf(c1967,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = i(ld(i(mult(op_d,op_c)),mult(op_d,op_c))),
inference(congruence,[status(thm)],[c1275]) ).
cnf(c1968,plain,
i(ld(i(mult(op_d,op_c)),mult(op_d,op_c))) = ld(i(i(mult(op_d,op_c))),i(mult(op_d,op_c))),
inference(substitution,[status(thm)],[c369]) ).
cnf(c1969,plain,
i(i(mult(op_d,op_c))) = mult(op_d,op_c),
inference(substitution,[status(thm)],[c32]) ).
cnf(c1970,plain,
ld(i(i(mult(op_d,op_c))),i(mult(op_d,op_c))) = ld(mult(op_d,op_c),i(mult(op_d,op_c))),
inference(congruence,[status(thm)],[c1969]) ).
cnf(c1971,plain,
i(ld(i(mult(op_d,op_c)),mult(op_d,op_c))) = ld(mult(op_d,op_c),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c1968,c1970]) ).
cnf(c1972,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = ld(mult(op_d,op_c),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c1967,c1971]) ).
cnf(c1973,plain,
ld(mult(op_d,op_d),i(mult(op_c,op_c))) = ld(mult(op_d,op_c),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c1966,c1972]) ).
cnf(c1974,plain,
ld(mult(op_d,op_d),mult(op_c,op_c)) = ld(mult(op_d,op_c),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c1964,c1973]) ).
cnf(c1975,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))) = ld(mult(op_d,op_c),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c1962,c1974]) ).
cnf(c1976,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,op_c),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c1954,c1975]) ).
cnf(c1977,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,op_c),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c1930,c1976]) ).
cnf(c1978,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_d,op_c),i(mult(op_d,op_c))),
inference(transitivity,[status(thm)],[c1953,c1977]) ).
cnf(c1979,plain,
ld(mult(op_d,op_c),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = ld(mult(op_d,op_c),ld(mult(op_d,op_c),i(mult(op_d,op_c)))),
inference(congruence,[status(thm)],[c1978]) ).
cnf(c1980,plain,
ld(mult(op_d,op_c),ld(mult(op_d,op_c),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = ld(mult(op_d,op_c),ld(mult(op_d,op_c),ld(mult(op_d,op_c),i(mult(op_d,op_c))))),
inference(congruence,[status(thm)],[c1979]) ).
cnf(c1981,plain,
ld(mult(op_d,op_c),i(mult(op_d,op_c))) = ld(mult(op_d,op_d),mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c1974]) ).
cnf(c1982,plain,
ld(mult(op_d,op_c),ld(mult(op_d,op_c),i(mult(op_d,op_c)))) = ld(mult(op_d,op_c),ld(mult(op_d,op_d),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1981]) ).
cnf(c1983,plain,
ld(mult(op_d,op_c),ld(mult(op_d,op_c),ld(mult(op_d,op_c),i(mult(op_d,op_c))))) = ld(mult(op_d,op_c),ld(mult(op_d,op_c),ld(mult(op_d,op_d),mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c1982]) ).
cnf(c1984,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),X) = ld(ld(i(mult(op_d,op_c)),mult(op_d,op_c)),X),
inference(congruence,[status(thm)],[c1275]) ).
cnf(c1985,plain,
ld(ld(i(mult(op_d,op_c)),mult(op_d,op_c)),X) = ld(mult(op_d,op_c),ld(mult(op_d,op_c),X)),
inference(substitution,[status(thm)],[c247]) ).
cnf(c1986,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),X) = ld(mult(op_d,op_c),ld(mult(op_d,op_c),X)),
inference(transitivity,[status(thm)],[c1984,c1985]) ).
cnf(c1987,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),ld(mult(op_d,op_d),mult(op_c,op_c))) = ld(mult(op_d,op_c),ld(mult(op_d,op_c),ld(mult(op_d,op_d),mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c1986]) ).
cnf(c1988,plain,
ld(mult(op_d,op_c),ld(mult(op_d,op_c),ld(mult(op_d,op_d),mult(op_c,op_c)))) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),ld(mult(op_d,op_d),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1987]) ).
cnf(c1989,plain,
mult(op_c,op_c) = i(mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c655]) ).
cnf(c1990,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1989]) ).
cnf(c1991,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),ld(mult(op_d,op_d),mult(op_c,op_c))) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_c,op_c))),ld(mult(op_d,op_d),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1990]) ).
cnf(c1992,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_c,op_c))) = i(ld(mult(op_d,op_d),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c421]) ).
cnf(c1993,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_c,op_c))),ld(mult(op_d,op_d),mult(op_c,op_c))) = ld(i(ld(mult(op_d,op_d),mult(op_c,op_c))),ld(mult(op_d,op_d),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c1992]) ).
cnf(c1994,plain,
rd(ld(mult(op_d,op_d),mult(op_c,op_c)),i(ld(mult(op_d,op_d),mult(op_c,op_c)))) = ld(i(ld(mult(op_d,op_d),mult(op_c,op_c))),ld(mult(op_d,op_d),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c681]) ).
cnf(c1995,plain,
ld(i(ld(mult(op_d,op_d),mult(op_c,op_c))),ld(mult(op_d,op_d),mult(op_c,op_c))) = rd(ld(mult(op_d,op_d),mult(op_c,op_c)),i(ld(mult(op_d,op_d),mult(op_c,op_c)))),
inference(symmetry,[status(thm)],[c1994]) ).
cnf(c1996,plain,
rd(ld(mult(op_d,op_d),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = rd(ld(mult(op_d,op_d),mult(op_c,op_c)),i(ld(mult(op_d,op_d),mult(op_c,op_c)))),
inference(substitution,[status(thm)],[c696]) ).
cnf(c1997,plain,
rd(ld(mult(op_d,op_d),mult(op_c,op_c)),i(ld(mult(op_d,op_d),mult(op_c,op_c)))) = rd(ld(mult(op_d,op_d),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))),
inference(symmetry,[status(thm)],[c1996]) ).
cnf(c1998,plain,
rd(ld(mult(op_d,op_d),mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c715]) ).
cnf(c1999,plain,
rd(ld(mult(op_d,op_d),mult(op_c,op_c)),i(ld(mult(op_d,op_d),mult(op_c,op_c)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c1997,c1998]) ).
cnf(c2000,plain,
ld(i(ld(mult(op_d,op_d),mult(op_c,op_c))),ld(mult(op_d,op_d),mult(op_c,op_c))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c1995,c1999]) ).
cnf(c2001,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),i(mult(op_c,op_c))),ld(mult(op_d,op_d),mult(op_c,op_c))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c1993,c2000]) ).
cnf(c2002,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c)),ld(mult(op_d,op_d),mult(op_c,op_c))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c1991,c2001]) ).
cnf(c2003,plain,
ld(mult(op_d,op_c),ld(mult(op_d,op_c),ld(mult(op_d,op_d),mult(op_c,op_c)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c1988,c2002]) ).
cnf(c2004,plain,
ld(mult(op_d,op_c),ld(mult(op_d,op_c),ld(mult(op_d,op_c),i(mult(op_d,op_c))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c1983,c2003]) ).
cnf(c2005,plain,
ld(mult(op_d,op_c),ld(mult(op_d,op_c),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c1980,c2004]) ).
cnf(c2006,plain,
ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c1912,c2005]) ).
cnf(c2007,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))),
inference(symmetry,[status(thm)],[c2006]) ).
cnf(c2008,plain,
ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,op_c),ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)))),
inference(congruence,[status(thm)],[c2007]) ).
cnf(c2009,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_c),ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))))),
inference(congruence,[status(thm)],[c2008]) ).
cnf(c2010,plain,
ld(ld(i(mult(op_d,op_c)),mult(op_d,op_c)),X) = ld(mult(op_d,op_c),ld(mult(op_d,op_c),X)),
inference(substitution,[status(thm)],[c247]) ).
cnf(c2011,plain,
ld(mult(op_d,op_c),ld(mult(op_d,op_c),X)) = ld(ld(i(mult(op_d,op_c)),mult(op_d,op_c)),X),
inference(symmetry,[status(thm)],[c2010]) ).
cnf(c2012,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_c),ld(mult(op_d,op_c),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(ld(i(mult(op_d,op_c)),mult(op_d,op_c)),X)),
inference(congruence,[status(thm)],[c2011]) ).
cnf(c2013,plain,
ld(i(mult(op_d,op_c)),mult(op_d,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),
inference(symmetry,[status(thm)],[c1263]) ).
cnf(c2014,plain,
ld(ld(i(mult(op_d,op_c)),mult(op_d,op_c)),X) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),X),
inference(congruence,[status(thm)],[c2013]) ).
cnf(c2015,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(ld(i(mult(op_d,op_c)),mult(op_d,op_c)),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),X)),
inference(congruence,[status(thm)],[c2014]) ).
cnf(c2016,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(i(op_d),X),
inference(congruence,[status(thm)],[c50]) ).
cnf(c2017,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X2),X) = ld(ld(i(op_d),X2),X),
inference(congruence,[status(thm)],[c2016]) ).
cnf(c2018,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X2),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(ld(i(op_d),X2),X)),
inference(congruence,[status(thm)],[c2017]) ).
cnf(c2019,plain,
ld(op_d,ld(rd(X2,op_d),ld(op_d,X))) = ld(ld(i(op_d),X2),X),
inference(substitution,[status(thm)],[c557]) ).
cnf(c2020,plain,
ld(ld(i(op_d),X2),X) = ld(op_d,ld(rd(X2,op_d),ld(op_d,X))),
inference(symmetry,[status(thm)],[c2019]) ).
cnf(c2021,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(ld(i(op_d),X2),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(op_d,ld(rd(X2,op_d),ld(op_d,X)))),
inference(congruence,[status(thm)],[c2020]) ).
cnf(c2022,plain,
op_d = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c48]) ).
cnf(c2023,plain,
ld(op_d,X) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X),
inference(congruence,[status(thm)],[c2022]) ).
cnf(c2024,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(op_d,X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X)),
inference(congruence,[status(thm)],[c2023]) ).
cnf(c2025,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X)) = X,
inference(substitution,[status(thm)],[c469]) ).
cnf(c2026,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(op_d,X)) = X,
inference(transitivity,[status(thm)],[c2024,c2025]) ).
cnf(c2027,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(op_d,ld(rd(X2,op_d),ld(op_d,X)))) = ld(rd(X2,op_d),ld(op_d,X)),
inference(substitution,[status(thm)],[c2026]) ).
cnf(c2028,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(ld(i(op_d),X2),X)) = ld(rd(X2,op_d),ld(op_d,X)),
inference(transitivity,[status(thm)],[c2021,c2027]) ).
cnf(c2029,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X2),X)) = ld(rd(X2,op_d),ld(op_d,X)),
inference(transitivity,[status(thm)],[c2018,c2028]) ).
cnf(c2030,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),X)) = ld(rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d),ld(op_d,X)),
inference(substitution,[status(thm)],[c2029]) ).
cnf(c2031,plain,
rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d),
inference(substitution,[status(thm)],[c1206]) ).
cnf(c2032,plain,
rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d) = rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(symmetry,[status(thm)],[c2031]) ).
cnf(c2033,plain,
ld(rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d),ld(op_d,X)) = ld(rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),ld(op_d,X)),
inference(congruence,[status(thm)],[c2032]) ).
cnf(c2034,plain,
i(op_d) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(symmetry,[status(thm)],[c50]) ).
cnf(c2035,plain,
rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),
inference(congruence,[status(thm)],[c2034]) ).
cnf(c2036,plain,
ld(rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),ld(op_d,X)) = ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),ld(op_d,X)),
inference(congruence,[status(thm)],[c2035]) ).
cnf(c2037,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(op_c,op_c),
inference(substitution,[status(thm)],[c626]) ).
cnf(c2038,plain,
ld(rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),ld(op_d,X)) = ld(mult(op_c,op_c),ld(op_d,X)),
inference(congruence,[status(thm)],[c2037]) ).
cnf(c2039,plain,
ld(rd(i(op_d),ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))),ld(op_d,X)) = ld(mult(op_c,op_c),ld(op_d,X)),
inference(transitivity,[status(thm)],[c2036,c2038]) ).
cnf(c2040,plain,
ld(rd(ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_d),ld(op_d,X)) = ld(mult(op_c,op_c),ld(op_d,X)),
inference(transitivity,[status(thm)],[c2033,c2039]) ).
cnf(c2041,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),X)) = ld(mult(op_c,op_c),ld(op_d,X)),
inference(transitivity,[status(thm)],[c2030,c2040]) ).
cnf(c2042,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(ld(i(mult(op_d,op_c)),mult(op_d,op_c)),X)) = ld(mult(op_c,op_c),ld(op_d,X)),
inference(transitivity,[status(thm)],[c2015,c2041]) ).
cnf(c2043,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_c),ld(mult(op_d,op_c),X))) = ld(mult(op_c,op_c),ld(op_d,X)),
inference(transitivity,[status(thm)],[c2012,c2042]) ).
cnf(c2044,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_c),ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))))) = ld(mult(op_c,op_c),ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)))),
inference(substitution,[status(thm)],[c2043]) ).
cnf(c2045,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c)) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))),
inference(substitution,[status(thm)],[c1385]) ).
cnf(c2046,plain,
ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c)),
inference(symmetry,[status(thm)],[c2045]) ).
cnf(c2047,plain,
ld(mult(op_c,op_c),ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)))) = ld(mult(op_c,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c))),
inference(congruence,[status(thm)],[c2046]) ).
cnf(c2048,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),op_c),
inference(substitution,[status(thm)],[c287]) ).
cnf(c2049,plain,
ld(mult(op_c,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c))) = ld(mult(op_c,op_c),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),op_c)),
inference(congruence,[status(thm)],[c2048]) ).
cnf(c2050,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,op_c),X)) = ld(mult(op_d,op_d),ld(mult(op_d,op_d),ld(mult(op_c,op_c),X))),
inference(substitution,[status(thm)],[c222]) ).
cnf(c2051,plain,
ld(mult(op_d,op_d),ld(mult(op_c,op_c),X)) = ld(op_d,ld(op_d,ld(mult(op_c,op_c),X))),
inference(substitution,[status(thm)],[c196]) ).
cnf(c2052,plain,
ld(op_d,ld(mult(op_c,op_c),X)) = ld(op_d,ld(op_c,ld(op_c,X))),
inference(congruence,[status(thm)],[c1171]) ).
cnf(c2053,plain,
ld(mult(op_c,op_c),ld(op_d,ld(mult(op_c,op_c),X))) = ld(mult(op_c,op_c),ld(op_d,ld(op_c,ld(op_c,X)))),
inference(congruence,[status(thm)],[c2052]) ).
cnf(c2054,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)) = ld(i(op_c),mult(op_d,op_c)),
inference(congruence,[status(thm)],[c311]) ).
cnf(c2055,plain,
ld(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)),X) = ld(ld(i(op_c),mult(op_d,op_c)),X),
inference(congruence,[status(thm)],[c2054]) ).
cnf(c2056,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),op_c) = mult(op_d,op_c),
inference(substitution,[status(thm)],[c151]) ).
cnf(c2057,plain,
mult(op_d,op_c) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),op_c),
inference(symmetry,[status(thm)],[c2056]) ).
cnf(c2058,plain,
ld(i(op_c),mult(op_d,op_c)) = ld(i(op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),op_c)),
inference(congruence,[status(thm)],[c2057]) ).
cnf(c2059,plain,
ld(ld(i(op_c),mult(op_d,op_c)),X) = ld(ld(i(op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),op_c)),X),
inference(congruence,[status(thm)],[c2058]) ).
cnf(c2060,plain,
ld(ld(i(op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),op_c)),X) = ld(op_c,ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(op_c,X))),
inference(substitution,[status(thm)],[c551]) ).
cnf(c2061,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(op_c,X)) = ld(op_d,ld(op_c,X)),
inference(congruence,[status(thm)],[c48]) ).
cnf(c2062,plain,
ld(op_c,ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(op_c,X))) = ld(op_c,ld(op_d,ld(op_c,X))),
inference(congruence,[status(thm)],[c2061]) ).
cnf(c2063,plain,
ld(ld(i(op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),op_c)),X) = ld(op_c,ld(op_d,ld(op_c,X))),
inference(transitivity,[status(thm)],[c2060,c2062]) ).
cnf(c2064,plain,
ld(ld(i(op_c),mult(op_d,op_c)),X) = ld(op_c,ld(op_d,ld(op_c,X))),
inference(transitivity,[status(thm)],[c2059,c2063]) ).
cnf(c2065,plain,
ld(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)),X) = ld(op_c,ld(op_d,ld(op_c,X))),
inference(transitivity,[status(thm)],[c2055,c2064]) ).
cnf(c2066,plain,
ld(op_c,ld(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)),X)) = ld(op_c,ld(op_c,ld(op_d,ld(op_c,X)))),
inference(congruence,[status(thm)],[c2065]) ).
cnf(c2067,plain,
ld(mult(op_c,op_c),ld(op_d,ld(op_c,X))) = ld(op_c,ld(op_c,ld(op_d,ld(op_c,X)))),
inference(substitution,[status(thm)],[c1171]) ).
cnf(c2068,plain,
ld(op_c,ld(op_c,ld(op_d,ld(op_c,X)))) = ld(mult(op_c,op_c),ld(op_d,ld(op_c,X))),
inference(symmetry,[status(thm)],[c2067]) ).
cnf(c2069,plain,
ld(op_c,ld(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)),X)) = ld(mult(op_c,op_c),ld(op_d,ld(op_c,X))),
inference(transitivity,[status(thm)],[c2066,c2068]) ).
cnf(c2070,plain,
ld(op_c,ld(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)),ld(op_c,X))) = ld(mult(op_c,op_c),ld(op_d,ld(op_c,ld(op_c,X)))),
inference(substitution,[status(thm)],[c2069]) ).
cnf(c2071,plain,
ld(mult(op_c,op_c),ld(op_d,ld(op_c,ld(op_c,X)))) = ld(op_c,ld(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)),ld(op_c,X))),
inference(symmetry,[status(thm)],[c2070]) ).
cnf(c2072,plain,
i(i(mult(op_d,op_c))) = mult(op_d,op_c),
inference(substitution,[status(thm)],[c32]) ).
cnf(c2073,plain,
mult(op_d,op_c) = i(i(mult(op_d,op_c))),
inference(symmetry,[status(thm)],[c2072]) ).
cnf(c2074,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)) = ld(mult(op_c,mult(op_c,op_c)),i(i(mult(op_d,op_c)))),
inference(congruence,[status(thm)],[c2073]) ).
cnf(c2075,plain,
ld(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)),ld(op_c,X)) = ld(ld(mult(op_c,mult(op_c,op_c)),i(i(mult(op_d,op_c)))),ld(op_c,X)),
inference(congruence,[status(thm)],[c2074]) ).
cnf(c2076,plain,
ld(op_c,ld(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)),ld(op_c,X))) = ld(op_c,ld(ld(mult(op_c,mult(op_c,op_c)),i(i(mult(op_d,op_c)))),ld(op_c,X))),
inference(congruence,[status(thm)],[c2075]) ).
cnf(c2077,plain,
ld(mult(op_c,mult(op_c,op_c)),i(i(mult(op_d,op_c)))) = i(ld(op_c,i(mult(op_d,op_c)))),
inference(substitution,[status(thm)],[c1152]) ).
cnf(c2078,plain,
ld(ld(mult(op_c,mult(op_c,op_c)),i(i(mult(op_d,op_c)))),ld(op_c,X)) = ld(i(ld(op_c,i(mult(op_d,op_c)))),ld(op_c,X)),
inference(congruence,[status(thm)],[c2077]) ).
cnf(c2079,plain,
ld(op_c,ld(ld(mult(op_c,mult(op_c,op_c)),i(i(mult(op_d,op_c)))),ld(op_c,X))) = ld(op_c,ld(i(ld(op_c,i(mult(op_d,op_c)))),ld(op_c,X))),
inference(congruence,[status(thm)],[c2078]) ).
cnf(c2080,plain,
ld(ld(i(op_c),ld(ld(op_c,i(mult(op_d,op_c))),op_c)),X) = ld(op_c,ld(i(ld(op_c,i(mult(op_d,op_c)))),ld(op_c,X))),
inference(substitution,[status(thm)],[c551]) ).
cnf(c2081,plain,
ld(op_c,ld(i(ld(op_c,i(mult(op_d,op_c)))),ld(op_c,X))) = ld(ld(i(op_c),ld(ld(op_c,i(mult(op_d,op_c))),op_c)),X),
inference(symmetry,[status(thm)],[c2080]) ).
cnf(c2082,plain,
ld(mult(op_c,mult(op_c,op_c)),X) = ld(i(op_c),X),
inference(congruence,[status(thm)],[c311]) ).
cnf(c2083,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(op_c),X)),
inference(congruence,[status(thm)],[c2082]) ).
cnf(c2084,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),X))) = ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(op_c),X))),
inference(congruence,[status(thm)],[c2083]) ).
cnf(c2085,plain,
mult(op_c,X) = ld(i(op_c),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c2086,plain,
ld(i(op_c),X) = mult(op_c,X),
inference(symmetry,[status(thm)],[c2085]) ).
cnf(c2087,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(op_c),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,X)),
inference(congruence,[status(thm)],[c2086]) ).
cnf(c2088,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(op_c),X))) = ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,X))),
inference(congruence,[status(thm)],[c2087]) ).
cnf(c2089,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,X)) = ld(i(op_d),mult(op_c,X)),
inference(congruence,[status(thm)],[c50]) ).
cnf(c2090,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,X))) = ld(mult(op_c,mult(op_c,op_c)),ld(i(op_d),mult(op_c,X))),
inference(congruence,[status(thm)],[c2089]) ).
cnf(c2091,plain,
mult(op_d,mult(op_c,X)) = ld(i(op_d),mult(op_c,X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c2092,plain,
ld(i(op_d),mult(op_c,X)) = mult(op_d,mult(op_c,X)),
inference(symmetry,[status(thm)],[c2091]) ).
cnf(c2093,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(i(op_d),mult(op_c,X))) = ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_c,X))),
inference(congruence,[status(thm)],[c2092]) ).
cnf(c2094,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_c,X))) = ld(i(op_c),mult(op_d,mult(op_c,X))),
inference(congruence,[status(thm)],[c311]) ).
cnf(c2095,plain,
mult(op_c,mult(op_d,mult(op_c,X))) = ld(i(op_c),mult(op_d,mult(op_c,X))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c2096,plain,
ld(i(op_c),mult(op_d,mult(op_c,X))) = mult(op_c,mult(op_d,mult(op_c,X))),
inference(symmetry,[status(thm)],[c2095]) ).
cnf(c2097,plain,
mult(op_c,mult(op_d,mult(op_c,X))) = mult(mult(op_c,mult(op_d,op_c)),X),
inference(substitution,[status(thm)],[c174]) ).
cnf(c2098,plain,
mult(mult(op_c,mult(op_d,op_c)),X) = ld(i(mult(op_c,mult(op_d,op_c))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c2099,plain,
i(mult(op_c,mult(op_d,op_c))) = mult(i(op_c),i(mult(op_d,op_c))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c2100,plain,
ld(i(mult(op_c,mult(op_d,op_c))),X) = ld(mult(i(op_c),i(mult(op_d,op_c))),X),
inference(congruence,[status(thm)],[c2099]) ).
cnf(c2101,plain,
mult(i(op_c),i(mult(op_d,op_c))) = ld(i(i(op_c)),i(mult(op_d,op_c))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c2102,plain,
ld(mult(i(op_c),i(mult(op_d,op_c))),X) = ld(ld(i(i(op_c)),i(mult(op_d,op_c))),X),
inference(congruence,[status(thm)],[c2101]) ).
cnf(c2103,plain,
i(i(op_c)) = op_c,
inference(substitution,[status(thm)],[c32]) ).
cnf(c2104,plain,
ld(i(i(op_c)),i(mult(op_d,op_c))) = ld(op_c,i(mult(op_d,op_c))),
inference(congruence,[status(thm)],[c2103]) ).
cnf(c2105,plain,
ld(ld(i(i(op_c)),i(mult(op_d,op_c))),X) = ld(ld(op_c,i(mult(op_d,op_c))),X),
inference(congruence,[status(thm)],[c2104]) ).
cnf(c2106,plain,
ld(mult(i(op_c),i(mult(op_d,op_c))),X) = ld(ld(op_c,i(mult(op_d,op_c))),X),
inference(transitivity,[status(thm)],[c2102,c2105]) ).
cnf(c2107,plain,
ld(i(mult(op_c,mult(op_d,op_c))),X) = ld(ld(op_c,i(mult(op_d,op_c))),X),
inference(transitivity,[status(thm)],[c2100,c2106]) ).
cnf(c2108,plain,
mult(mult(op_c,mult(op_d,op_c)),X) = ld(ld(op_c,i(mult(op_d,op_c))),X),
inference(transitivity,[status(thm)],[c2098,c2107]) ).
cnf(c2109,plain,
mult(op_c,mult(op_d,mult(op_c,X))) = ld(ld(op_c,i(mult(op_d,op_c))),X),
inference(transitivity,[status(thm)],[c2097,c2108]) ).
cnf(c2110,plain,
ld(i(op_c),mult(op_d,mult(op_c,X))) = ld(ld(op_c,i(mult(op_d,op_c))),X),
inference(transitivity,[status(thm)],[c2096,c2109]) ).
cnf(c2111,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_c,X))) = ld(ld(op_c,i(mult(op_d,op_c))),X),
inference(transitivity,[status(thm)],[c2094,c2110]) ).
cnf(c2112,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(i(op_d),mult(op_c,X))) = ld(ld(op_c,i(mult(op_d,op_c))),X),
inference(transitivity,[status(thm)],[c2093,c2111]) ).
cnf(c2113,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,X))) = ld(ld(op_c,i(mult(op_d,op_c))),X),
inference(transitivity,[status(thm)],[c2090,c2112]) ).
cnf(c2114,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(op_c),X))) = ld(ld(op_c,i(mult(op_d,op_c))),X),
inference(transitivity,[status(thm)],[c2088,c2113]) ).
cnf(c2115,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),X))) = ld(ld(op_c,i(mult(op_d,op_c))),X),
inference(transitivity,[status(thm)],[c2084,c2114]) ).
cnf(c2116,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),op_c))) = ld(ld(op_c,i(mult(op_d,op_c))),op_c),
inference(substitution,[status(thm)],[c2115]) ).
cnf(c2117,plain,
ld(ld(op_c,i(mult(op_d,op_c))),op_c) = ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),op_c))),
inference(symmetry,[status(thm)],[c2116]) ).
cnf(c2118,plain,
ld(mult(op_c,mult(op_c,op_c)),op_c) = mult(op_c,op_c),
inference(substitution,[status(thm)],[c1157]) ).
cnf(c2119,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_c)),
inference(congruence,[status(thm)],[c2118]) ).
cnf(c2120,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),op_c))) = ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_c))),
inference(congruence,[status(thm)],[c2119]) ).
cnf(c2121,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_c)) = ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))),
inference(substitution,[status(thm)],[c1335]) ).
cnf(c2122,plain,
ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = ld(op_d,ld(i(mult(op_d,op_c)),mult(op_d,op_c))),
inference(congruence,[status(thm)],[c1275]) ).
cnf(c2123,plain,
op_d = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(symmetry,[status(thm)],[c48]) ).
cnf(c2124,plain,
ld(op_d,ld(i(mult(op_d,op_c)),mult(op_d,op_c))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(i(mult(op_d,op_c)),mult(op_d,op_c))),
inference(congruence,[status(thm)],[c2123]) ).
cnf(c2125,plain,
ld(i(mult(op_d,op_c)),mult(op_d,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),
inference(symmetry,[status(thm)],[c1263]) ).
cnf(c2126,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(i(mult(op_d,op_c)),mult(op_d,op_c))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)))),
inference(congruence,[status(thm)],[c2125]) ).
cnf(c2127,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)))) = ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c2128,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(i(mult(op_d,op_c)),mult(op_d,op_c))) = ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),
inference(transitivity,[status(thm)],[c2126,c2127]) ).
cnf(c2129,plain,
ld(op_d,ld(i(mult(op_d,op_c)),mult(op_d,op_c))) = ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),
inference(transitivity,[status(thm)],[c2124,c2128]) ).
cnf(c2130,plain,
ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),mult(op_c,op_c))) = ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),
inference(transitivity,[status(thm)],[c2122,c2129]) ).
cnf(c2131,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_c)) = ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),
inference(transitivity,[status(thm)],[c2121,c2130]) ).
cnf(c2132,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_c))) = ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),
inference(congruence,[status(thm)],[c2131]) ).
cnf(c2133,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(mult(op_c,mult(op_c,op_c)),X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c2134,plain,
X = ld(mult(op_c,mult(op_c,op_c)),mult(mult(op_c,mult(op_c,op_c)),X)),
inference(symmetry,[status(thm)],[c2133]) ).
cnf(c2135,plain,
ld(mult(op_c,mult(op_c,op_c)),X) = ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),mult(mult(op_c,mult(op_c,op_c)),X))),
inference(congruence,[status(thm)],[c2134]) ).
cnf(c2136,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),X)) = ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),mult(mult(op_c,mult(op_c,op_c)),X)))),
inference(congruence,[status(thm)],[c2135]) ).
cnf(c2137,plain,
ld(mult(op_c,mult(op_c,op_c)),X) = ld(i(op_c),X),
inference(congruence,[status(thm)],[c311]) ).
cnf(c2138,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),X)) = ld(mult(op_c,mult(op_c,op_c)),ld(i(op_c),X)),
inference(congruence,[status(thm)],[c2137]) ).
cnf(c2139,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),X))) = ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),ld(i(op_c),X))),
inference(congruence,[status(thm)],[c2138]) ).
cnf(c2140,plain,
mult(op_c,X) = ld(i(op_c),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c2141,plain,
ld(i(op_c),X) = mult(op_c,X),
inference(symmetry,[status(thm)],[c2140]) ).
cnf(c2142,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(i(op_c),X)) = ld(mult(op_c,mult(op_c,op_c)),mult(op_c,X)),
inference(congruence,[status(thm)],[c2141]) ).
cnf(c2143,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),ld(i(op_c),X))) = ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,X))),
inference(congruence,[status(thm)],[c2142]) ).
cnf(c2144,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(op_c,X)) = ld(i(op_c),mult(op_c,X)),
inference(congruence,[status(thm)],[c311]) ).
cnf(c2145,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,X))) = ld(mult(op_c,mult(op_c,op_c)),ld(i(op_c),mult(op_c,X))),
inference(congruence,[status(thm)],[c2144]) ).
cnf(c2146,plain,
mult(op_c,mult(op_c,X)) = ld(i(op_c),mult(op_c,X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c2147,plain,
ld(i(op_c),mult(op_c,X)) = mult(op_c,mult(op_c,X)),
inference(symmetry,[status(thm)],[c2146]) ).
cnf(c2148,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(i(op_c),mult(op_c,X))) = ld(mult(op_c,mult(op_c,op_c)),mult(op_c,mult(op_c,X))),
inference(congruence,[status(thm)],[c2147]) ).
cnf(c2149,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(op_c,mult(op_c,X))) = ld(i(op_c),mult(op_c,mult(op_c,X))),
inference(congruence,[status(thm)],[c311]) ).
cnf(c2150,plain,
mult(op_c,mult(op_c,mult(op_c,X))) = ld(i(op_c),mult(op_c,mult(op_c,X))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c2151,plain,
ld(i(op_c),mult(op_c,mult(op_c,X))) = mult(op_c,mult(op_c,mult(op_c,X))),
inference(symmetry,[status(thm)],[c2150]) ).
cnf(c2152,plain,
mult(op_c,mult(op_c,mult(op_c,X))) = mult(mult(op_c,mult(op_c,op_c)),X),
inference(substitution,[status(thm)],[c174]) ).
cnf(c2153,plain,
mult(mult(op_c,mult(op_c,op_c)),X) = ld(i(mult(op_c,mult(op_c,op_c))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c2154,plain,
i(mult(op_c,mult(op_c,op_c))) = mult(i(op_c),i(mult(op_c,op_c))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c2155,plain,
ld(i(mult(op_c,mult(op_c,op_c))),X) = ld(mult(i(op_c),i(mult(op_c,op_c))),X),
inference(congruence,[status(thm)],[c2154]) ).
cnf(c2156,plain,
mult(i(op_c),i(mult(op_c,op_c))) = ld(i(i(op_c)),i(mult(op_c,op_c))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c2157,plain,
ld(mult(i(op_c),i(mult(op_c,op_c))),X) = ld(ld(i(i(op_c)),i(mult(op_c,op_c))),X),
inference(congruence,[status(thm)],[c2156]) ).
cnf(c2158,plain,
i(i(op_c)) = op_c,
inference(substitution,[status(thm)],[c32]) ).
cnf(c2159,plain,
ld(i(i(op_c)),i(mult(op_c,op_c))) = ld(op_c,i(mult(op_c,op_c))),
inference(congruence,[status(thm)],[c2158]) ).
cnf(c2160,plain,
ld(ld(i(i(op_c)),i(mult(op_c,op_c))),X) = ld(ld(op_c,i(mult(op_c,op_c))),X),
inference(congruence,[status(thm)],[c2159]) ).
cnf(c2161,plain,
ld(op_c,i(mult(op_c,op_c))) = ld(op_c,mult(op_c,op_c)),
inference(congruence,[status(thm)],[c655]) ).
cnf(c2162,plain,
ld(ld(op_c,i(mult(op_c,op_c))),X) = ld(ld(op_c,mult(op_c,op_c)),X),
inference(congruence,[status(thm)],[c2161]) ).
cnf(c2163,plain,
ld(op_c,mult(op_c,op_c)) = op_c,
inference(substitution,[status(thm)],[c2]) ).
cnf(c2164,plain,
ld(ld(op_c,mult(op_c,op_c)),X) = ld(op_c,X),
inference(congruence,[status(thm)],[c2163]) ).
cnf(c2165,plain,
ld(ld(op_c,i(mult(op_c,op_c))),X) = ld(op_c,X),
inference(transitivity,[status(thm)],[c2162,c2164]) ).
cnf(c2166,plain,
ld(ld(i(i(op_c)),i(mult(op_c,op_c))),X) = ld(op_c,X),
inference(transitivity,[status(thm)],[c2160,c2165]) ).
cnf(c2167,plain,
ld(mult(i(op_c),i(mult(op_c,op_c))),X) = ld(op_c,X),
inference(transitivity,[status(thm)],[c2157,c2166]) ).
cnf(c2168,plain,
ld(i(mult(op_c,mult(op_c,op_c))),X) = ld(op_c,X),
inference(transitivity,[status(thm)],[c2155,c2167]) ).
cnf(c2169,plain,
mult(mult(op_c,mult(op_c,op_c)),X) = ld(op_c,X),
inference(transitivity,[status(thm)],[c2153,c2168]) ).
cnf(c2170,plain,
mult(op_c,mult(op_c,mult(op_c,X))) = ld(op_c,X),
inference(transitivity,[status(thm)],[c2152,c2169]) ).
cnf(c2171,plain,
ld(i(op_c),mult(op_c,mult(op_c,X))) = ld(op_c,X),
inference(transitivity,[status(thm)],[c2151,c2170]) ).
cnf(c2172,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(op_c,mult(op_c,X))) = ld(op_c,X),
inference(transitivity,[status(thm)],[c2149,c2171]) ).
cnf(c2173,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(i(op_c),mult(op_c,X))) = ld(op_c,X),
inference(transitivity,[status(thm)],[c2148,c2172]) ).
cnf(c2174,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,X))) = ld(op_c,X),
inference(transitivity,[status(thm)],[c2145,c2173]) ).
cnf(c2175,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),ld(i(op_c),X))) = ld(op_c,X),
inference(transitivity,[status(thm)],[c2143,c2174]) ).
cnf(c2176,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),X))) = ld(op_c,X),
inference(transitivity,[status(thm)],[c2139,c2175]) ).
cnf(c2177,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),mult(mult(op_c,mult(op_c,op_c)),X)))) = ld(op_c,mult(mult(op_c,mult(op_c,op_c)),X)),
inference(substitution,[status(thm)],[c2176]) ).
cnf(c2178,plain,
mult(mult(op_c,mult(op_c,op_c)),X) = ld(i(mult(op_c,mult(op_c,op_c))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c2179,plain,
ld(op_c,mult(mult(op_c,mult(op_c,op_c)),X)) = ld(op_c,ld(i(mult(op_c,mult(op_c,op_c))),X)),
inference(congruence,[status(thm)],[c2178]) ).
cnf(c2180,plain,
ld(i(mult(op_c,mult(op_c,op_c))),X) = ld(op_c,X),
inference(congruence,[status(thm)],[c107]) ).
cnf(c2181,plain,
ld(op_c,ld(i(mult(op_c,mult(op_c,op_c))),X)) = ld(op_c,ld(op_c,X)),
inference(congruence,[status(thm)],[c2180]) ).
cnf(c2182,plain,
ld(op_c,ld(op_c,X)) = ld(mult(op_c,op_c),X),
inference(symmetry,[status(thm)],[c1171]) ).
cnf(c2183,plain,
ld(op_c,ld(i(mult(op_c,mult(op_c,op_c))),X)) = ld(mult(op_c,op_c),X),
inference(transitivity,[status(thm)],[c2181,c2182]) ).
cnf(c2184,plain,
ld(op_c,mult(mult(op_c,mult(op_c,op_c)),X)) = ld(mult(op_c,op_c),X),
inference(transitivity,[status(thm)],[c2179,c2183]) ).
cnf(c2185,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),mult(mult(op_c,mult(op_c,op_c)),X)))) = ld(mult(op_c,op_c),X),
inference(transitivity,[status(thm)],[c2177,c2184]) ).
cnf(c2186,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),X)) = ld(mult(op_c,op_c),X),
inference(transitivity,[status(thm)],[c2136,c2185]) ).
cnf(c2187,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))) = ld(mult(op_c,op_c),mult(op_c,op_d)),
inference(substitution,[status(thm)],[c2186]) ).
cnf(c2188,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_c))) = ld(mult(op_c,op_c),mult(op_c,op_d)),
inference(transitivity,[status(thm)],[c2132,c2187]) ).
cnf(c2189,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),op_c))) = ld(mult(op_c,op_c),mult(op_c,op_d)),
inference(transitivity,[status(thm)],[c2120,c2188]) ).
cnf(c2190,plain,
ld(ld(op_c,i(mult(op_d,op_c))),op_c) = ld(mult(op_c,op_c),mult(op_c,op_d)),
inference(transitivity,[status(thm)],[c2117,c2189]) ).
cnf(c2191,plain,
ld(i(op_c),ld(ld(op_c,i(mult(op_d,op_c))),op_c)) = ld(i(op_c),ld(mult(op_c,op_c),mult(op_c,op_d))),
inference(congruence,[status(thm)],[c2190]) ).
cnf(c2192,plain,
ld(ld(i(op_c),ld(ld(op_c,i(mult(op_d,op_c))),op_c)),X) = ld(ld(i(op_c),ld(mult(op_c,op_c),mult(op_c,op_d))),X),
inference(congruence,[status(thm)],[c2191]) ).
cnf(c2193,plain,
i(op_c) = mult(op_c,mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c311]) ).
cnf(c2194,plain,
ld(i(op_c),ld(mult(op_c,op_c),mult(op_c,op_d))) = ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,op_c),mult(op_c,op_d))),
inference(congruence,[status(thm)],[c2193]) ).
cnf(c2195,plain,
ld(ld(i(op_c),ld(mult(op_c,op_c),mult(op_c,op_d))),X) = ld(ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,op_c),mult(op_c,op_d))),X),
inference(congruence,[status(thm)],[c2194]) ).
cnf(c2196,plain,
ld(mult(op_c,op_c),X) = ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),X)),
inference(symmetry,[status(thm)],[c2186]) ).
cnf(c2197,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,op_c),X)) = ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,mult(op_c,op_c)),X))),
inference(congruence,[status(thm)],[c2196]) ).
cnf(c2198,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,op_c),X)) = ld(op_c,X),
inference(transitivity,[status(thm)],[c2197,c2176]) ).
cnf(c2199,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,op_c),mult(op_c,op_d))) = ld(op_c,mult(op_c,op_d)),
inference(substitution,[status(thm)],[c2198]) ).
cnf(c2200,plain,
ld(ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,op_c),mult(op_c,op_d))),X) = ld(ld(op_c,mult(op_c,op_d)),X),
inference(congruence,[status(thm)],[c2199]) ).
cnf(c2201,plain,
ld(op_c,mult(op_c,op_d)) = op_d,
inference(substitution,[status(thm)],[c2]) ).
cnf(c2202,plain,
ld(ld(op_c,mult(op_c,op_d)),X) = ld(op_d,X),
inference(congruence,[status(thm)],[c2201]) ).
cnf(c2203,plain,
ld(ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_c,op_c),mult(op_c,op_d))),X) = ld(op_d,X),
inference(transitivity,[status(thm)],[c2200,c2202]) ).
cnf(c2204,plain,
ld(ld(i(op_c),ld(mult(op_c,op_c),mult(op_c,op_d))),X) = ld(op_d,X),
inference(transitivity,[status(thm)],[c2195,c2203]) ).
cnf(c2205,plain,
ld(ld(i(op_c),ld(ld(op_c,i(mult(op_d,op_c))),op_c)),X) = ld(op_d,X),
inference(transitivity,[status(thm)],[c2192,c2204]) ).
cnf(c2206,plain,
ld(op_c,ld(i(ld(op_c,i(mult(op_d,op_c)))),ld(op_c,X))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c2081,c2205]) ).
cnf(c2207,plain,
ld(op_c,ld(ld(mult(op_c,mult(op_c,op_c)),i(i(mult(op_d,op_c)))),ld(op_c,X))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c2079,c2206]) ).
cnf(c2208,plain,
ld(op_c,ld(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)),ld(op_c,X))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c2076,c2207]) ).
cnf(c2209,plain,
ld(mult(op_c,op_c),ld(op_d,ld(op_c,ld(op_c,X)))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c2071,c2208]) ).
cnf(c2210,plain,
ld(mult(op_c,op_c),ld(op_d,ld(mult(op_c,op_c),X))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c2053,c2209]) ).
cnf(c2211,plain,
ld(mult(op_c,op_c),ld(op_d,ld(mult(op_c,op_c),ld(op_d,ld(mult(op_c,op_c),X))))) = ld(op_d,ld(op_d,ld(mult(op_c,op_c),X))),
inference(substitution,[status(thm)],[c2210]) ).
cnf(c2212,plain,
ld(op_d,ld(op_d,ld(mult(op_c,op_c),X))) = ld(mult(op_c,op_c),ld(op_d,ld(mult(op_c,op_c),ld(op_d,ld(mult(op_c,op_c),X))))),
inference(symmetry,[status(thm)],[c2211]) ).
cnf(c2213,plain,
ld(op_d,ld(mult(op_c,op_c),ld(op_d,ld(mult(op_c,op_c),X)))) = ld(op_d,ld(op_d,X)),
inference(congruence,[status(thm)],[c2210]) ).
cnf(c2214,plain,
ld(mult(op_c,op_c),ld(op_d,ld(mult(op_c,op_c),ld(op_d,ld(mult(op_c,op_c),X))))) = ld(mult(op_c,op_c),ld(op_d,ld(op_d,X))),
inference(congruence,[status(thm)],[c2213]) ).
cnf(c2215,plain,
ld(op_d,ld(op_d,X)) = ld(mult(op_d,op_d),X),
inference(symmetry,[status(thm)],[c196]) ).
cnf(c2216,plain,
ld(mult(op_c,op_c),ld(op_d,ld(op_d,X))) = ld(mult(op_c,op_c),ld(mult(op_d,op_d),X)),
inference(congruence,[status(thm)],[c2215]) ).
cnf(c2217,plain,
ld(mult(op_c,op_c),ld(op_d,ld(mult(op_c,op_c),ld(op_d,ld(mult(op_c,op_c),X))))) = ld(mult(op_c,op_c),ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c2214,c2216]) ).
cnf(c2218,plain,
ld(op_d,ld(op_d,ld(mult(op_c,op_c),X))) = ld(mult(op_c,op_c),ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c2212,c2217]) ).
cnf(c2219,plain,
ld(mult(op_d,op_d),ld(mult(op_c,op_c),X)) = ld(mult(op_c,op_c),ld(mult(op_d,op_d),X)),
inference(transitivity,[status(thm)],[c2051,c2218]) ).
cnf(c2220,plain,
ld(mult(op_d,op_d),ld(mult(op_d,op_d),ld(mult(op_c,op_c),X))) = ld(mult(op_d,op_d),ld(mult(op_c,op_c),ld(mult(op_d,op_d),X))),
inference(congruence,[status(thm)],[c2219]) ).
cnf(c2221,plain,
ld(mult(op_d,op_d),ld(mult(op_c,op_c),ld(mult(op_d,op_d),X))) = ld(mult(op_c,op_c),ld(mult(op_d,op_d),ld(mult(op_d,op_d),X))),
inference(substitution,[status(thm)],[c2219]) ).
cnf(c2222,plain,
ld(mult(op_d,op_d),ld(mult(op_d,op_d),X)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X),
inference(symmetry,[status(thm)],[c222]) ).
cnf(c2223,plain,
ld(mult(op_c,op_c),ld(mult(op_d,op_d),ld(mult(op_d,op_d),X))) = ld(mult(op_c,op_c),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(congruence,[status(thm)],[c2222]) ).
cnf(c2224,plain,
ld(mult(op_d,op_d),ld(mult(op_c,op_c),ld(mult(op_d,op_d),X))) = ld(mult(op_c,op_c),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(transitivity,[status(thm)],[c2221,c2223]) ).
cnf(c2225,plain,
ld(mult(op_d,op_d),ld(mult(op_d,op_d),ld(mult(op_c,op_c),X))) = ld(mult(op_c,op_c),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(transitivity,[status(thm)],[c2220,c2224]) ).
cnf(c2226,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,op_c),X)) = ld(mult(op_c,op_c),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X)),
inference(transitivity,[status(thm)],[c2050,c2225]) ).
cnf(c2227,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,op_c),op_c)) = ld(mult(op_c,op_c),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),op_c)),
inference(substitution,[status(thm)],[c2226]) ).
cnf(c2228,plain,
ld(mult(op_c,op_c),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,op_c),op_c)),
inference(symmetry,[status(thm)],[c2227]) ).
cnf(c2229,plain,
ld(mult(op_c,op_c),op_c) = mult(op_c,mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c1242]) ).
cnf(c2230,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,op_c),op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c))),
inference(congruence,[status(thm)],[c2229]) ).
cnf(c2231,plain,
ld(mult(op_c,op_c),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c))),
inference(transitivity,[status(thm)],[c2228,c2230]) ).
cnf(c2232,plain,
ld(mult(op_c,op_c),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c))),
inference(transitivity,[status(thm)],[c2049,c2231]) ).
cnf(c2233,plain,
ld(mult(op_c,op_c),ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c))),
inference(transitivity,[status(thm)],[c2047,c2232]) ).
cnf(c2234,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_c),ld(mult(op_d,op_c),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_c))))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c))),
inference(transitivity,[status(thm)],[c2044,c2233]) ).
cnf(c2235,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c))),
inference(transitivity,[status(thm)],[c2009,c2234]) ).
cnf(c2236,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c2235]) ).
cnf(c2237,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c)))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(congruence,[status(thm)],[c2236]) ).
cnf(c2238,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(substitution,[status(thm)],[c13]) ).
cnf(c2239,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c2237,c2238]) ).
cnf(c2240,plain,
ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1388,c2239]) ).
cnf(c2241,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_c,op_c))) = ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c1386,c2240]) ).
cnf(c2242,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_c,op_c)))) = rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c2241]) ).
cnf(c2243,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = mult(op_d,op_c),
inference(substitution,[status(thm)],[c626]) ).
cnf(c2244,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_c,op_c)))) = mult(op_d,op_c),
inference(transitivity,[status(thm)],[c2242,c2243]) ).
cnf(c2245,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = mult(op_d,op_c),
inference(transitivity,[status(thm)],[c1374,c2244]) ).
cnf(c2246,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c)),
inference(congruence,[status(thm)],[c2245]) ).
cnf(c2247,plain,
i(mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(symmetry,[status(thm)],[c132]) ).
cnf(c2248,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c)),
inference(congruence,[status(thm)],[c2247]) ).
cnf(c2249,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,op_d))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c2246,c2248]) ).
cnf(c2250,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c)),
inference(transitivity,[status(thm)],[c1372,c2249]) ).
cnf(c2251,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c)) = ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c2250]) ).
cnf(c2252,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c))) = i(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c2251]) ).
cnf(c2253,plain,
i(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(i(mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c142]) ).
cnf(c2254,plain,
ld(i(mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c107]) ).
cnf(c2255,plain,
i(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c2253,c2254]) ).
cnf(c2256,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,op_c))) = ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c2252,c2255]) ).
cnf(c2257,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),i(mult(op_d,op_c))) = ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c1370,c2256]) ).
cnf(c2258,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),i(mult(op_d,op_c))) = ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c1368,c2257]) ).
cnf(c2259,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_c,op_c))) = ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(transitivity,[status(thm)],[c1366,c2258]) ).
cnf(c2260,plain,
ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_c,op_c)))) = ld(op_d,ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c2259]) ).
cnf(c2261,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_c,op_c))))) = rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(op_d,ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c2260]) ).
cnf(c2262,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_d)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_d)),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c132]) ).
cnf(c2263,plain,
i(i(mult(op_c,op_d))) = mult(op_c,op_d),
inference(substitution,[status(thm)],[c32]) ).
cnf(c2264,plain,
mult(op_c,op_d) = i(i(mult(op_c,op_d))),
inference(symmetry,[status(thm)],[c2263]) ).
cnf(c2265,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_d)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(i(mult(op_c,op_d)))),
inference(congruence,[status(thm)],[c2264]) ).
cnf(c2266,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_d)),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(i(mult(op_c,op_d)))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c2265]) ).
cnf(c2267,plain,
i(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(X)),
inference(substitution,[status(thm)],[c97]) ).
cnf(c2268,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(X)) = i(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X)),
inference(symmetry,[status(thm)],[c2267]) ).
cnf(c2269,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X) = ld(op_d,X),
inference(congruence,[status(thm)],[c48]) ).
cnf(c2270,plain,
i(ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),X)) = i(ld(op_d,X)),
inference(congruence,[status(thm)],[c2269]) ).
cnf(c2271,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(X)) = i(ld(op_d,X)),
inference(transitivity,[status(thm)],[c2268,c2270]) ).
cnf(c2272,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(i(mult(op_c,op_d)))) = i(ld(op_d,i(mult(op_c,op_d)))),
inference(substitution,[status(thm)],[c2271]) ).
cnf(c2273,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(i(mult(op_c,op_d)))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(i(ld(op_d,i(mult(op_c,op_d)))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c2272]) ).
cnf(c2274,plain,
i(ld(ld(op_d,i(mult(op_c,op_d))),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(i(ld(op_d,i(mult(op_c,op_d)))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(substitution,[status(thm)],[c369]) ).
cnf(c2275,plain,
ld(i(ld(op_d,i(mult(op_c,op_d)))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = i(ld(ld(op_d,i(mult(op_c,op_d))),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c2274]) ).
cnf(c2276,plain,
mult(op_d,X) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X),
inference(symmetry,[status(thm)],[c151]) ).
cnf(c2277,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(op_d,X)) = ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)),
inference(congruence,[status(thm)],[c2276]) ).
cnf(c2278,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))),
inference(congruence,[status(thm)],[c2277]) ).
cnf(c2279,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X) = ld(i(op_d),X),
inference(congruence,[status(thm)],[c50]) ).
cnf(c2280,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X)) = ld(mult(op_c,mult(op_c,op_c)),ld(i(op_d),X)),
inference(congruence,[status(thm)],[c2279]) ).
cnf(c2281,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),ld(i(op_d),X))),
inference(congruence,[status(thm)],[c2280]) ).
cnf(c2282,plain,
mult(op_d,X) = ld(i(op_d),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c2283,plain,
ld(i(op_d),X) = mult(op_d,X),
inference(symmetry,[status(thm)],[c2282]) ).
cnf(c2284,plain,
ld(mult(op_c,mult(op_c,op_c)),ld(i(op_d),X)) = ld(mult(op_c,mult(op_c,op_c)),mult(op_d,X)),
inference(congruence,[status(thm)],[c2283]) ).
cnf(c2285,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),ld(i(op_d),X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,X))),
inference(congruence,[status(thm)],[c2284]) ).
cnf(c2286,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(op_d,X)) = ld(i(op_c),mult(op_d,X)),
inference(congruence,[status(thm)],[c311]) ).
cnf(c2287,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(op_c),mult(op_d,X))),
inference(congruence,[status(thm)],[c2286]) ).
cnf(c2288,plain,
mult(op_c,mult(op_d,X)) = ld(i(op_c),mult(op_d,X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c2289,plain,
ld(i(op_c),mult(op_d,X)) = mult(op_c,mult(op_d,X)),
inference(symmetry,[status(thm)],[c2288]) ).
cnf(c2290,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(op_c),mult(op_d,X))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_d,X))),
inference(congruence,[status(thm)],[c2289]) ).
cnf(c2291,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_d,X))) = ld(i(op_d),mult(op_c,mult(op_d,X))),
inference(congruence,[status(thm)],[c50]) ).
cnf(c2292,plain,
mult(op_d,mult(op_c,mult(op_d,X))) = ld(i(op_d),mult(op_c,mult(op_d,X))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c2293,plain,
ld(i(op_d),mult(op_c,mult(op_d,X))) = mult(op_d,mult(op_c,mult(op_d,X))),
inference(symmetry,[status(thm)],[c2292]) ).
cnf(c2294,plain,
mult(op_d,mult(op_c,mult(op_d,X))) = mult(mult(op_d,mult(op_c,op_d)),X),
inference(substitution,[status(thm)],[c174]) ).
cnf(c2295,plain,
mult(mult(op_d,mult(op_c,op_d)),X) = ld(i(mult(op_d,mult(op_c,op_d))),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c2296,plain,
i(mult(op_d,mult(op_c,op_d))) = mult(i(op_d),i(mult(op_c,op_d))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c2297,plain,
ld(i(mult(op_d,mult(op_c,op_d))),X) = ld(mult(i(op_d),i(mult(op_c,op_d))),X),
inference(congruence,[status(thm)],[c2296]) ).
cnf(c2298,plain,
mult(i(op_d),i(mult(op_c,op_d))) = ld(i(i(op_d)),i(mult(op_c,op_d))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c2299,plain,
ld(mult(i(op_d),i(mult(op_c,op_d))),X) = ld(ld(i(i(op_d)),i(mult(op_c,op_d))),X),
inference(congruence,[status(thm)],[c2298]) ).
cnf(c2300,plain,
i(i(op_d)) = op_d,
inference(substitution,[status(thm)],[c32]) ).
cnf(c2301,plain,
ld(i(i(op_d)),i(mult(op_c,op_d))) = ld(op_d,i(mult(op_c,op_d))),
inference(congruence,[status(thm)],[c2300]) ).
cnf(c2302,plain,
ld(ld(i(i(op_d)),i(mult(op_c,op_d))),X) = ld(ld(op_d,i(mult(op_c,op_d))),X),
inference(congruence,[status(thm)],[c2301]) ).
cnf(c2303,plain,
ld(mult(i(op_d),i(mult(op_c,op_d))),X) = ld(ld(op_d,i(mult(op_c,op_d))),X),
inference(transitivity,[status(thm)],[c2299,c2302]) ).
cnf(c2304,plain,
ld(i(mult(op_d,mult(op_c,op_d))),X) = ld(ld(op_d,i(mult(op_c,op_d))),X),
inference(transitivity,[status(thm)],[c2297,c2303]) ).
cnf(c2305,plain,
mult(mult(op_d,mult(op_c,op_d)),X) = ld(ld(op_d,i(mult(op_c,op_d))),X),
inference(transitivity,[status(thm)],[c2295,c2304]) ).
cnf(c2306,plain,
mult(op_d,mult(op_c,mult(op_d,X))) = ld(ld(op_d,i(mult(op_c,op_d))),X),
inference(transitivity,[status(thm)],[c2294,c2305]) ).
cnf(c2307,plain,
ld(i(op_d),mult(op_c,mult(op_d,X))) = ld(ld(op_d,i(mult(op_c,op_d))),X),
inference(transitivity,[status(thm)],[c2293,c2306]) ).
cnf(c2308,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,mult(op_d,X))) = ld(ld(op_d,i(mult(op_c,op_d))),X),
inference(transitivity,[status(thm)],[c2291,c2307]) ).
cnf(c2309,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(i(op_c),mult(op_d,X))) = ld(ld(op_d,i(mult(op_c,op_d))),X),
inference(transitivity,[status(thm)],[c2290,c2308]) ).
cnf(c2310,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,X))) = ld(ld(op_d,i(mult(op_c,op_d))),X),
inference(transitivity,[status(thm)],[c2287,c2309]) ).
cnf(c2311,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),ld(i(op_d),X))) = ld(ld(op_d,i(mult(op_c,op_d))),X),
inference(transitivity,[status(thm)],[c2285,c2310]) ).
cnf(c2312,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),X))) = ld(ld(op_d,i(mult(op_c,op_d))),X),
inference(transitivity,[status(thm)],[c2281,c2311]) ).
cnf(c2313,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,X))) = ld(ld(op_d,i(mult(op_c,op_d))),X),
inference(transitivity,[status(thm)],[c2278,c2312]) ).
cnf(c2314,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(ld(op_d,i(mult(op_c,op_d))),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c2313]) ).
cnf(c2315,plain,
ld(ld(op_d,i(mult(op_c,op_d))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(symmetry,[status(thm)],[c2314]) ).
cnf(c2316,plain,
i(ld(ld(op_d,i(mult(op_c,op_d))),mult(op_d,mult(op_d,mult(op_d,op_d))))) = i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(congruence,[status(thm)],[c2315]) ).
cnf(c2317,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(substitution,[status(thm)],[c369]) ).
cnf(c2318,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(op_d,i(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(congruence,[status(thm)],[c48]) ).
cnf(c2319,plain,
i(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(i(mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(substitution,[status(thm)],[c142]) ).
cnf(c2320,plain,
ld(op_d,i(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(op_d,ld(i(mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c2319]) ).
cnf(c2321,plain,
ld(i(mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(congruence,[status(thm)],[c107]) ).
cnf(c2322,plain,
ld(op_d,ld(i(mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(op_d,ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(congruence,[status(thm)],[c2321]) ).
cnf(c2323,plain,
ld(op_d,i(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(op_d,ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c2320,c2322]) ).
cnf(c2324,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),i(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(op_d,ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c2318,c2323]) ).
cnf(c2325,plain,
i(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = ld(op_d,ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c2317,c2324]) ).
cnf(c2326,plain,
i(ld(ld(op_d,i(mult(op_c,op_d))),mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(op_d,ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c2316,c2325]) ).
cnf(c2327,plain,
ld(i(ld(op_d,i(mult(op_c,op_d)))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(op_d,ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c2275,c2326]) ).
cnf(c2328,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),i(i(mult(op_c,op_d)))),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(op_d,ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c2273,c2327]) ).
cnf(c2329,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_d)),i(mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(op_d,ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c2266,c2328]) ).
cnf(c2330,plain,
ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_d)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(op_d,ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(transitivity,[status(thm)],[c2262,c2329]) ).
cnf(c2331,plain,
ld(op_d,ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_d)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(symmetry,[status(thm)],[c2330]) ).
cnf(c2332,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(op_d,ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_d)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))),
inference(congruence,[status(thm)],[c2331]) ).
cnf(c2333,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_d)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_d)),
inference(substitution,[status(thm)],[c626]) ).
cnf(c2334,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(op_d,ld(op_c,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_d)),
inference(transitivity,[status(thm)],[c2332,c2333]) ).
cnf(c2335,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(op_d,ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_c,op_c))))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_d)),
inference(transitivity,[status(thm)],[c2261,c2334]) ).
cnf(c2336,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))),mult(op_c,mult(op_c,op_c)))) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_d)),
inference(transitivity,[status(thm)],[c1363,c2335]) ).
cnf(c2337,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_c)) = ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_d)),
inference(transitivity,[status(thm)],[c1322,c2336]) ).
cnf(c2338,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_c))) = ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_d))),
inference(congruence,[status(thm)],[c2337]) ).
cnf(c2339,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_c,op_d))) = mult(op_c,op_d),
inference(substitution,[status(thm)],[c13]) ).
cnf(c2340,plain,
ld(i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(op_d,op_c))) = mult(op_c,op_d),
inference(transitivity,[status(thm)],[c2338,c2339]) ).
cnf(c2341,plain,
mult(op_d,op_c) = mult(op_c,op_d),
inference(transitivity,[status(thm)],[c15,c2340]) ).
cnf(c2342,plain,
mult(op_c,op_d) = mult(op_d,op_c),
inference(symmetry,[status(thm)],[c2341]) ).
cnf(c2343,plain,
$false,
inference(resolution,[status(thm)],[c1,c2342]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP689-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 10:36:31 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 102.21/13.30 Command-line arguments: --flatten --complete-subsets
% 102.21/13.30
% 102.21/13.30 % SZS status Unsatisfiable
% 102.21/13.30
% 105.42/13.71 % SZS output start CNFRefutation
% See solution above
% 130.76/16.91
% 130.76/16.91 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------