# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(7, axiom,![X8]:![X9]:s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_complexs_complexu_u_neg(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),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,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X9))),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X8))),file('i/f/complex/COMPLEX__NEG__SCALAR__LMUL', ah4s_complexs_COMPLEXu_u_SCALARu_u_LMULu_u_NEG)).
fof(9, axiom,![X8]:![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),X8)))=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),X8))))),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),X8))))))),file('i/f/complex/COMPLEX__NEG__SCALAR__LMUL', ah4s_complexs_complexu_u_scalaru_u_lmul0)).
fof(10, axiom,![X7]:![X10]:![X11]:![X6]:s(X10,h4s_pairs_snd(s(t_h4s_pairs_prod(X7,X10),h4s_pairs_u_2c(s(X7,X6),s(X10,X11)))))=s(X10,X11),file('i/f/complex/COMPLEX__NEG__SCALAR__LMUL', ah4s_pairs_SND0)).
fof(11, axiom,![X8]:s(t_h4s_realaxs_real,h4s_complexs_im(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X8)))=s(t_h4s_realaxs_real,h4s_pairs_snd(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X8))),file('i/f/complex/COMPLEX__NEG__SCALAR__LMUL', ah4s_complexs_IM0)).
fof(12, axiom,![X8]:s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X8)))=s(t_h4s_realaxs_real,h4s_pairs_fst(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X8))),file('i/f/complex/COMPLEX__NEG__SCALAR__LMUL', ah4s_complexs_RE0)).
fof(13, axiom,![X10]:![X7]:![X11]:![X6]:s(X7,h4s_pairs_fst(s(t_h4s_pairs_prod(X7,X10),h4s_pairs_u_2c(s(X7,X6),s(X10,X11)))))=s(X7,X6),file('i/f/complex/COMPLEX__NEG__SCALAR__LMUL', ah4s_pairs_FST0)).
fof(14, axiom,![X8]:s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_complexs_complexu_u_neg(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X8)))=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_neg(s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X8))))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_complexs_im(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X8))))))),file('i/f/complex/COMPLEX__NEG__SCALAR__LMUL', ah4s_complexs_complexu_u_neg0)).
fof(15, axiom,![X11]:![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(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,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,X11))),file('i/f/complex/COMPLEX__NEG__SCALAR__LMUL', ah4s_reals_REALu_u_NEGu_u_LMUL)).
fof(80, axiom,![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_neg(s(t_h4s_realaxs_real,X11)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X11))))),file('i/f/complex/COMPLEX__NEG__SCALAR__LMUL', ah4s_reals_REALu_u_MULu_u_RNEG)).
fof(133, conjecture,![X8]:![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_neg(s(t_h4s_pairs_prod(t_h4s_realaxs_real,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,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X9))),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X8))),file('i/f/complex/COMPLEX__NEG__SCALAR__LMUL', ch4s_complexs_COMPLEXu_u_NEGu_u_SCALARu_u_LMUL)).
# SZS output end CNFRefutation
