# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(8, axiom,![X7]:![X9]: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,X9),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,X9),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,X9),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__ADD__SCALAR__LMUL', ah4s_complexs_complexu_u_scalaru_u_lmul0)).
fof(11, 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__ADD__SCALAR__LMUL', ah4s_complexs_RE0)).
fof(12, 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__ADD__SCALAR__LMUL', ah4s_complexs_IM0)).
fof(13, axiom,![X10]:![X12]:![X11]:![X6]:s(X12,h4s_pairs_snd(s(t_h4s_pairs_prod(X10,X12),h4s_pairs_u_2c(s(X10,X6),s(X12,X11)))))=s(X12,X11),file('i/f/complex/COMPLEX__ADD__SCALAR__LMUL', ah4s_pairs_SND0)).
fof(14, axiom,![X12]:![X10]:![X11]:![X6]:s(X10,h4s_pairs_fst(s(t_h4s_pairs_prod(X10,X12),h4s_pairs_u_2c(s(X10,X6),s(X12,X11)))))=s(X10,X6),file('i/f/complex/COMPLEX__ADD__SCALAR__LMUL', ah4s_pairs_FST0)).
fof(16, axiom,![X7]:![X13]: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),X7),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X13)))=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),X7))),s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X13))))),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),X7))),s(t_h4s_realaxs_real,h4s_complexs_im(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X13))))))),file('i/f/complex/COMPLEX__ADD__SCALAR__LMUL', ah4s_complexs_complexu_u_add0)).
fof(101, axiom,![X7]:![X11]:![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_add(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X7)))))=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,X11))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X7))))),file('i/f/complex/COMPLEX__ADD__SCALAR__LMUL', ah4s_reals_REALu_u_ADDu_u_LDISTRIB)).
fof(133, conjecture,![X7]:![X13]:![X9]: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,X9),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),X7),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X13)))))=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,X9),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,X9),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X13))))),file('i/f/complex/COMPLEX__ADD__SCALAR__LMUL', ch4s_complexs_COMPLEXu_u_ADDu_u_SCALARu_u_LMUL)).
# SZS output end CNFRefutation
