# 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_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__SCALAR__LMUL__ONE', ah4s_complexs_complexu_u_scalaru_u_lmul0)).
fof(10, 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__SCALAR__LMUL__ONE', ah4s_complexs_IM0)).
fof(12, 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__SCALAR__LMUL__ONE', ah4s_pairs_SND0)).
fof(13, 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__SCALAR__LMUL__ONE', ah4s_complexs_RE0)).
fof(82, axiom,![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_realaxs_real,X6)))=s(t_h4s_realaxs_real,X6),file('i/f/complex/COMPLEX__SCALAR__LMUL__ONE', ah4s_reals_REALu_u_MULu_u_LID)).
fof(100, axiom,s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_complexs_i)=s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),file('i/f/complex/COMPLEX__SCALAR__LMUL__ONE', ah4s_complexs_i0)).
fof(105, axiom,![X7]:![X10]:![X6]:s(t_h4s_pairs_prod(X7,X10),h4s_pairs_u_2c(s(X7,h4s_pairs_fst(s(t_h4s_pairs_prod(X7,X10),X6))),s(X10,h4s_pairs_snd(s(t_h4s_pairs_prod(X7,X10),X6)))))=s(t_h4s_pairs_prod(X7,X10),X6),file('i/f/complex/COMPLEX__SCALAR__LMUL__ONE', ah4s_pairs_PAIR)).
fof(133, conjecture,![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_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),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),X8),file('i/f/complex/COMPLEX__SCALAR__LMUL__ONE', ch4s_complexs_COMPLEXu_u_SCALARu_u_LMULu_u_ONE)).
# SZS output end CNFRefutation
