# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]: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),X1),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),X1),file('i/f/complex/COMPLEX__ADD__RID', ch4s_complexs_COMPLEXu_u_ADDu_u_RID)).
fof(6, axiom,![X2]:![X5]:![X4]:s(t_h4s_pairs_prod(X2,X5),h4s_pairs_u_2c(s(X2,h4s_pairs_fst(s(t_h4s_pairs_prod(X2,X5),X4))),s(X5,h4s_pairs_snd(s(t_h4s_pairs_prod(X2,X5),X4)))))=s(t_h4s_pairs_prod(X2,X5),X4),file('i/f/complex/COMPLEX__ADD__RID', ah4s_pairs_PAIR)).
fof(7, axiom,![X5]:![X2]:![X6]:![X4]:s(X2,h4s_pairs_fst(s(t_h4s_pairs_prod(X2,X5),h4s_pairs_u_2c(s(X2,X4),s(X5,X6)))))=s(X2,X4),file('i/f/complex/COMPLEX__ADD__RID', ah4s_pairs_FST0)).
fof(8, axiom,![X2]:![X5]:![X6]:![X4]:s(X5,h4s_pairs_snd(s(t_h4s_pairs_prod(X2,X5),h4s_pairs_u_2c(s(X2,X4),s(X5,X6)))))=s(X5,X6),file('i/f/complex/COMPLEX__ADD__RID', ah4s_pairs_SND0)).
fof(9, axiom,![X1]:s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X1)))=s(t_h4s_realaxs_real,h4s_pairs_fst(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X1))),file('i/f/complex/COMPLEX__ADD__RID', ah4s_complexs_RE0)).
fof(10, axiom,![X1]:s(t_h4s_realaxs_real,h4s_complexs_im(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X1)))=s(t_h4s_realaxs_real,h4s_pairs_snd(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X1))),file('i/f/complex/COMPLEX__ADD__RID', ah4s_complexs_IM0)).
fof(11, axiom,![X4]: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,X4)))=s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X4),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(12, 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(13, axiom,![X1]:![X8]: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),X1),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_add(s(t_h4s_realaxs_real,h4s_complexs_re(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X1))),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_add(s(t_h4s_realaxs_real,h4s_complexs_im(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X1))),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__ADD__RID', ah4s_complexs_complexu_u_add0)).
fof(14, axiom,![X4]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X4),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,X4),file('i/f/complex/COMPLEX__ADD__RID', ah4s_reals_REALu_u_ADDu_u_RID)).
# SZS output end CNFRefutation
