# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_realaxs_real,h4s_reals_sum(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,h4s_reals_sum(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3))),s(t_h4s_realaxs_real,h4s_reals_sum(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3))))),file('i/f/real/SUM__DIFF', ch4s_reals_SUMu_u_DIFF)).
fof(5, axiom,![X5]:![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X6))),file('i/f/real/SUM__DIFF', ah4s_reals_REALu_u_ADDu_u_SYM)).
fof(6, axiom,![X7]:![X5]:![X6]:(s(t_h4s_realaxs_real,X6)=s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X7)))<=>s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X7)))=s(t_h4s_realaxs_real,X5)),file('i/f/real/SUM__DIFF', ah4s_reals_REALu_u_EQu_u_SUBu_u_LADD)).
fof(7, axiom,![X8]:![X1]:![X3]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_reals_sum(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3))),s(t_h4s_realaxs_real,h4s_reals_sum(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X8))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3)))))=s(t_h4s_realaxs_real,h4s_reals_sum(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X8))))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3))),file('i/f/real/SUM__DIFF', ah4s_reals_SUMu_u_TWO)).
# SZS output end CNFRefutation
