# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X1)=s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X2)<=>(s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X1)))=s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X2)))&s(t_h4s_realaxs_real,h4s_complexs_im(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X1)))=s(t_h4s_realaxs_real,h4s_complexs_im(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X2))))),file('i/f/complex/COMPLEX__RE__IM__EQ', ch4s_complexs_COMPLEXu_u_REu_u_IMu_u_EQ)).
fof(6, axiom,![X1]:s(t_h4s_realaxs_real,h4s_complexs_im(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X1)))=s(t_h4s_realaxs_real,h4s_pairs_snd(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X1))),file('i/f/complex/COMPLEX__RE__IM__EQ', ah4s_complexs_IM0)).
fof(7, axiom,![X3]:![X6]:![X7]:![X8]:(s(t_h4s_pairs_prod(X3,X6),X8)=s(t_h4s_pairs_prod(X3,X6),X7)<=>(s(X3,h4s_pairs_fst(s(t_h4s_pairs_prod(X3,X6),X8)))=s(X3,h4s_pairs_fst(s(t_h4s_pairs_prod(X3,X6),X7)))&s(X6,h4s_pairs_snd(s(t_h4s_pairs_prod(X3,X6),X8)))=s(X6,h4s_pairs_snd(s(t_h4s_pairs_prod(X3,X6),X7))))),file('i/f/complex/COMPLEX__RE__IM__EQ', ah4s_pairs_PAIRu_u_FSTu_u_SNDu_u_EQ)).
fof(8, axiom,![X1]:s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X1)))=s(t_h4s_realaxs_real,h4s_pairs_fst(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X1))),file('i/f/complex/COMPLEX__RE__IM__EQ', ah4s_complexs_RE0)).
# SZS output end CNFRefutation
