# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]: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,X3),s(t_h4s_nums_num,X2))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4))),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_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X1))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4)))))=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,X3),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),X4))),file('i/f/integral/SUM__SPLIT', ch4s_integrals_SUMu_u_SPLIT)).
fof(3, axiom,![X2]:![X3]:![X4]: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,X3),s(t_h4s_nums_num,X2))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4)))=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,X3),s(t_h4s_nums_num,X2))))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4))),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,X3))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4))))),file('i/f/integral/SUM__SPLIT', ah4s_reals_SUMu_u_DIFF)).
fof(5, axiom,![X7]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X7),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,X7),file('i/f/integral/SUM__SPLIT', ah4s_reals_REALu_u_ADDu_u_RID)).
fof(6, axiom,![X7]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X7),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X7)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/integral/SUM__SPLIT', ah4s_reals_REALu_u_ADDu_u_RINV)).
fof(7, axiom,![X1]:![X2]:![X3]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X1))),file('i/f/integral/SUM__SPLIT', ah4s_arithmetics_ADDu_u_ASSOC)).
fof(8, axiom,![X6]:![X7]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X7),s(t_h4s_realaxs_real,X6)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X7))),file('i/f/integral/SUM__SPLIT', ah4s_reals_REALu_u_ADDu_u_SYM)).
fof(9, axiom,![X8]:![X6]:![X7]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(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,X8)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X7),s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,X8))),file('i/f/integral/SUM__SPLIT', ah4s_reals_REALu_u_ADDu_u_ASSOC)).
fof(11, axiom,![X6]:![X7]:s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X7),s(t_h4s_realaxs_real,X6)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X7),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X6))))),file('i/f/integral/SUM__SPLIT', ah4s_reals_realu_u_sub0)).
fof(15, axiom,![X7]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X7)))))=s(t_h4s_realaxs_real,X7),file('i/f/integral/SUM__SPLIT', ah4s_reals_REALu_u_NEGu_u_NEG)).
# SZS output end CNFRefutation
