# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_complexs_conj(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),X2)))))=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_conj(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_conj(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X2))))),file('i/f/complex/CONJ__ADD', ch4s_complexs_CONJu_u_ADD)).
fof(7, axiom,![X1]:s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_complexs_conj(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_pairs_u_2c(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_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),X1))))))),file('i/f/complex/CONJ__ADD', ah4s_complexs_conj0)).
fof(8, axiom,![X5]:s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_complexs_conj(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,X5)))))=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,X5))),file('i/f/complex/CONJ__ADD', ah4s_complexs_CONJu_u_REALu_u_REFL)).
fof(9, axiom,![X7]:s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_complexs_conj(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_num(s(t_h4s_nums_num,X7))),file('i/f/complex/CONJ__ADD', ah4s_complexs_CONJu_u_NUMu_u_REFL)).
fof(10, axiom,![X1]:![X2]: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),X2)))=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),X2))))),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),X2))))))),file('i/f/complex/CONJ__ADD', ah4s_complexs_complexu_u_add0)).
fof(12, axiom,![X3]:![X8]:![X4]:![X5]:![X9]:![X10]:(s(t_h4s_pairs_prod(X3,X8),h4s_pairs_u_2c(s(X3,X5),s(X8,X4)))=s(t_h4s_pairs_prod(X3,X8),h4s_pairs_u_2c(s(X3,X10),s(X8,X9)))<=>(s(X3,X5)=s(X3,X10)&s(X8,X4)=s(X8,X9))),file('i/f/complex/CONJ__ADD', ah4s_pairs_PAIRu_u_EQ)).
fof(15, axiom,![X4]:![X5]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X4)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X5))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X4))))),file('i/f/complex/CONJ__ADD', ah4s_reals_REALu_u_NEGu_u_ADD)).
fof(16, axiom,![X5]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X5)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/complex/CONJ__ADD', ah4s_reals_REALu_u_ADDu_u_RINV)).
fof(19, axiom,![X4]:![X5]:(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X5)))=s(t_h4s_realaxs_real,X4)<=>s(t_h4s_realaxs_real,X5)=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X4)))),file('i/f/complex/CONJ__ADD', ah4s_reals_REALu_u_NEGu_u_EQ)).
fof(21, 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/CONJ__ADD', ah4s_complexs_complexu_u_ofu_u_num0)).
fof(22, axiom,![X5]: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,X5)))=s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/complex/CONJ__ADD', ah4s_complexs_complexu_u_ofu_u_real0)).
fof(23, axiom,![X4]:![X5]: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_ofu_u_real(s(t_h4s_realaxs_real,X5))),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_complexs_complexu_u_ofu_u_real(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X4))))),file('i/f/complex/CONJ__ADD', ah4s_complexs_COMPLEXu_u_OFu_u_REALu_u_ADD)).
fof(28, axiom,![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_neg(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))),file('i/f/complex/CONJ__ADD', ah4s_complexs_COMPLEXu_u_ADDu_u_RINV)).
fof(29, axiom,![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/CONJ__ADD', ah4s_complexs_COMPLEXu_u_ADDu_u_RID)).
fof(31, axiom,![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),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)))=s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),X1),file('i/f/complex/CONJ__ADD', ah4s_complexs_COMPLEXu_u_ADDu_u_LID)).
# SZS output end CNFRefutation
