# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(7, axiom,![X7]:s(t_h4s_realaxs_real,h4s_complexs_im(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X7)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_complexs_modu(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X7))),s(t_h4s_realaxs_real,h4s_transcs_sin(s(t_h4s_realaxs_real,h4s_complexs_arg(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X7))))))),file('i/f/complex/COMPLEX__MODU__ARG__EQ', ah4s_complexs_IMu_u_MODUu_u_ARG)).
fof(8, axiom,![X7]:s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X7)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_complexs_modu(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X7))),s(t_h4s_realaxs_real,h4s_transcs_cos(s(t_h4s_realaxs_real,h4s_complexs_arg(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X7))))))),file('i/f/complex/COMPLEX__MODU__ARG__EQ', ah4s_complexs_REu_u_MODUu_u_ARG)).
fof(21, axiom,![X7]:s(t_h4s_realaxs_real,h4s_complexs_im(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X7)))=s(t_h4s_realaxs_real,h4s_pairs_snd(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X7))),file('i/f/complex/COMPLEX__MODU__ARG__EQ', ah4s_complexs_IM0)).
fof(23, axiom,![X7]:s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X7)))=s(t_h4s_realaxs_real,h4s_pairs_fst(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X7))),file('i/f/complex/COMPLEX__MODU__ARG__EQ', ah4s_complexs_RE0)).
fof(41, axiom,![X8]:![X12]:![X6]:s(t_h4s_pairs_prod(X8,X12),h4s_pairs_u_2c(s(X8,h4s_pairs_fst(s(t_h4s_pairs_prod(X8,X12),X6))),s(X12,h4s_pairs_snd(s(t_h4s_pairs_prod(X8,X12),X6)))))=s(t_h4s_pairs_prod(X8,X12),X6),file('i/f/complex/COMPLEX__MODU__ARG__EQ', ah4s_pairs_PAIR)).
fof(133, conjecture,![X7]:![X14]:(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X7)=s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X14)<=>(s(t_h4s_realaxs_real,h4s_complexs_modu(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X7)))=s(t_h4s_realaxs_real,h4s_complexs_modu(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X14)))&s(t_h4s_realaxs_real,h4s_complexs_arg(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X7)))=s(t_h4s_realaxs_real,h4s_complexs_arg(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X14))))),file('i/f/complex/COMPLEX__MODU__ARG__EQ', ch4s_complexs_COMPLEXu_u_MODUu_u_ARGu_u_EQ)).
# SZS output end CNFRefutation
