# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(5, axiom,![X7]:s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_complexs_complexu_u_ofu_u_num(s(t_h4s_nums_num,X7)))=s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_complexs_complexu_u_ofu_u_real(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X7))))),file('i/f/complex/COMPLEX__ADD__RID', ah4s_complexs_complexu_u_ofu_u_num0)).
fof(11, axiom,![X9]:s(t_h4s_realaxs_real,h4s_complexs_im(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X9)))=s(t_h4s_realaxs_real,h4s_pairs_snd(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X9))),file('i/f/complex/COMPLEX__ADD__RID', ah4s_complexs_IM0)).
fof(12, axiom,![X9]:s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X9)))=s(t_h4s_realaxs_real,h4s_pairs_fst(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X9))),file('i/f/complex/COMPLEX__ADD__RID', ah4s_complexs_RE0)).
fof(13, axiom,![X9]:![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),X9),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_add(s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,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),X10))))),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),X9))),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__ADD__RID', ah4s_complexs_complexu_u_add0)).
fof(17, axiom,![X8]:![X12]:![X13]:![X6]:s(X12,h4s_pairs_snd(s(t_h4s_pairs_prod(X8,X12),h4s_pairs_u_2c(s(X8,X6),s(X12,X13)))))=s(X12,X13),file('i/f/complex/COMPLEX__ADD__RID', ah4s_pairs_SND0)).
fof(18, axiom,![X12]:![X8]:![X13]:![X6]:s(X8,h4s_pairs_fst(s(t_h4s_pairs_prod(X8,X12),h4s_pairs_u_2c(s(X8,X6),s(X12,X13)))))=s(X8,X6),file('i/f/complex/COMPLEX__ADD__RID', ah4s_pairs_FST0)).
fof(19, axiom,![X6]:s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_complexs_complexu_u_ofu_u_real(s(t_h4s_realaxs_real,X6)))=s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/complex/COMPLEX__ADD__RID', ah4s_complexs_complexu_u_ofu_u_real0)).
fof(34, axiom,![X9]:s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,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),X9)))))=s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X9),file('i/f/complex/COMPLEX__ADD__RID', ah4s_complexs_COMPLEX)).
fof(54, axiom,![X13]:![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X13)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X13),s(t_h4s_realaxs_real,X6))),file('i/f/complex/COMPLEX__ADD__RID', ah4s_reals_REALu_u_ADDu_u_COMM)).
fof(129, axiom,![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(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,X6)))=s(t_h4s_realaxs_real,X6),file('i/f/complex/COMPLEX__ADD__RID', ah4s_reals_REALu_u_ADDu_u_LID)).
fof(133, conjecture,![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),X9),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_complexs_complexu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X9),file('i/f/complex/COMPLEX__ADD__RID', ch4s_complexs_COMPLEXu_u_ADDu_u_RID)).
# SZS output end CNFRefutation
