# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(5, axiom,![X7]:![X8]:s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_complexs_complexu_u_scalaru_u_lmul(s(t_h4s_realaxs_real,X8),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),h4s_pairs_u_2c(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X8),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,X8),s(t_h4s_realaxs_real,h4s_complexs_im(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X7))))))),file('i/f/complex/COMPLEX__SCALAR__LMUL', ah4s_complexs_complexu_u_scalaru_u_lmul0)).
fof(32, axiom,![X7]:![X9]:![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X9),s(t_h4s_realaxs_real,X7)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X9))),s(t_h4s_realaxs_real,X7))),file('i/f/complex/COMPLEX__SCALAR__LMUL', ah4s_reals_REALu_u_MULu_u_ASSOC)).
fof(66, axiom,![X10]:![X43]:![X9]:![X6]:s(X43,h4s_pairs_snd(s(t_h4s_pairs_prod(X10,X43),h4s_pairs_u_2c(s(X10,X6),s(X43,X9)))))=s(X43,X9),file('i/f/complex/COMPLEX__SCALAR__LMUL', ah4s_pairs_SND0)).
fof(67, axiom,![X43]:![X10]:![X9]:![X6]:s(X10,h4s_pairs_fst(s(t_h4s_pairs_prod(X10,X43),h4s_pairs_u_2c(s(X10,X6),s(X43,X9)))))=s(X10,X6),file('i/f/complex/COMPLEX__SCALAR__LMUL', ah4s_pairs_FST0)).
fof(68, 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__SCALAR__LMUL', ah4s_complexs_RE0)).
fof(69, 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__SCALAR__LMUL', ah4s_complexs_IM0)).
fof(133, conjecture,![X7]:![X45]:![X8]:s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_complexs_complexu_u_scalaru_u_lmul(s(t_h4s_realaxs_real,X8),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_complexs_complexu_u_scalaru_u_lmul(s(t_h4s_realaxs_real,X45),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),h4s_complexs_complexu_u_scalaru_u_lmul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X45))),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X7))),file('i/f/complex/COMPLEX__SCALAR__LMUL', ch4s_complexs_COMPLEXu_u_SCALARu_u_LMUL)).
# SZS output end CNFRefutation
