# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:![X3]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),t_fun(t_h4s_nums_num,t_h4s_realaxs_real)),X1),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))),s(t_h4s_nums_num,X3)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_nums_num,X3)))))=>![X4]:![X5]:![X2]:(p(s(t_bool,h4s_transcs_division(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,X4))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))))=>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_transcs_dsize(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),t_fun(t_h4s_nums_num,t_h4s_realaxs_real)),X1),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))))),s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X4),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/integral/DSIZE__EQ', ch4s_integrals_DSIZEu_u_EQ)).
fof(36, axiom,![X17]:![X10]:(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X17)))=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,X10)=s(t_h4s_realaxs_real,X17)),file('i/f/integral/DSIZE__EQ', ah4s_reals_REALu_u_SUBu_u_0)).
fof(37, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X18),file('i/f/integral/DSIZE__EQ', ah4s_arithmetics_ADDu_u_0)).
fof(38, axiom,![X4]:![X5]:![X2]:(p(s(t_bool,h4s_transcs_division(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,X4))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))))=>s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_realaxs_real,X5)),file('i/f/integral/DSIZE__EQ', ah4s_transcs_DIVISIONu_u_LHS)).
fof(39, axiom,![X3]:![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X18))),file('i/f/integral/DSIZE__EQ', ah4s_arithmetics_ADDu_u_SYM)).
fof(40, axiom,![X1]:(![X19]:![X20]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),t_fun(t_h4s_nums_num,t_h4s_realaxs_real)),X1),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X19))),s(t_h4s_nums_num,X20)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X19),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X20))))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X19),s(t_h4s_nums_num,X20)))))=>![X3]:![X19]:![X21]: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,X21))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),t_fun(t_h4s_nums_num,t_h4s_realaxs_real)),X1),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X19)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X19),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X21))))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X19),s(t_h4s_nums_num,X3)))))),file('i/f/integral/DSIZE__EQ', ah4s_reals_SUMu_u_CANCEL)).
fof(41, axiom,![X4]:![X5]:![X2]:(p(s(t_bool,h4s_transcs_division(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,X4))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))))=>s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_nums_num,h4s_transcs_dsize(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2)))))=s(t_h4s_realaxs_real,X4)),file('i/f/integral/DSIZE__EQ', ah4s_transcs_DIVISIONu_u_RHS)).
# SZS output end CNFRefutation
