# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(9, axiom,![X9]:![X7]:![X8]:![X6]:s(X7,h4s_pairs_fst(s(t_h4s_pairs_prod(X7,X9),h4s_pairs_u_2c(s(X7,X6),s(X9,X8)))))=s(X7,X6),file('i/f/complex/COMPLEX__SCALAR__LMUL__ADD', ah4s_pairs_FST0)).
fof(10, axiom,![X7]:![X9]:![X8]:![X6]:s(X9,h4s_pairs_snd(s(t_h4s_pairs_prod(X7,X9),h4s_pairs_u_2c(s(X7,X6),s(X9,X8)))))=s(X9,X8),file('i/f/complex/COMPLEX__SCALAR__LMUL__ADD', ah4s_pairs_SND0)).
fof(11, axiom,![X10]:![X8]:![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8))),s(t_h4s_realaxs_real,X10)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X10))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X10))))),file('i/f/complex/COMPLEX__SCALAR__LMUL__ADD', ah4s_reals_REALu_u_ADDu_u_RDISTRIB)).
fof(12, axiom,![X10]:s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X10)))=s(t_h4s_realaxs_real,h4s_pairs_fst(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X10))),file('i/f/complex/COMPLEX__SCALAR__LMUL__ADD', ah4s_complexs_RE0)).
fof(13, axiom,![X10]:s(t_h4s_realaxs_real,h4s_complexs_im(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X10)))=s(t_h4s_realaxs_real,h4s_pairs_snd(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X10))),file('i/f/complex/COMPLEX__SCALAR__LMUL__ADD', ah4s_complexs_IM0)).
fof(14, axiom,![X10]:![X11]:s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_complexs_complexu_u_add(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X10),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X11)))=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_add(s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X10))),s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X11))))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_complexs_im(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X10))),s(t_h4s_realaxs_real,h4s_complexs_im(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X11))))))),file('i/f/complex/COMPLEX__SCALAR__LMUL__ADD', ah4s_complexs_complexu_u_add0)).
fof(15, axiom,![X10]:![X12]: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,X12),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X10)))=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,X12),s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X10))))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X12),s(t_h4s_realaxs_real,h4s_complexs_im(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X10))))))),file('i/f/complex/COMPLEX__SCALAR__LMUL__ADD', ah4s_complexs_complexu_u_scalaru_u_lmul0)).
fof(16, conjecture,![X10]:![X13]:![X12]: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_add(s(t_h4s_realaxs_real,X12),s(t_h4s_realaxs_real,X13))),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X10)))=s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_complexs_complexu_u_add(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,X12),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X10))),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,X13),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X10))))),file('i/f/complex/COMPLEX__SCALAR__LMUL__ADD', ch4s_complexs_COMPLEXu_u_SCALARu_u_LMULu_u_ADD)).
# SZS output end CNFRefutation
