# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(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,X3),s(t_h4s_realaxs_real,X2))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1))))=>![X4]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1),s(t_h4s_nums_num,X4))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4))))))))),file('i/f/integral/DIVISION__MONO__LE__SUC', ch4s_integrals_DIVISIONu_u_MONOu_u_LEu_u_SUC)).
fof(2, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/integral/DIVISION__MONO__LE__SUC', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(35, axiom,![X1]:![X2]:![X3]:(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,X3),s(t_h4s_realaxs_real,X2))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1))))=>![X4]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1),s(t_h4s_nums_num,X4))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4))))))))),file('i/f/integral/DIVISION__MONO__LE__SUC', ah4s_integrals_DIVISIONu_u_LEu_u_SUC)).
fof(36, axiom,![X2]:![X3]:![X28]:(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,X3),s(t_h4s_realaxs_real,X2))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X28))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))))),file('i/f/integral/DIVISION__MONO__LE__SUC', ah4s_transcs_DIVISIONu_u_LE)).
fof(40, axiom,![X1]:![X2]:![X3]:(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,X3),s(t_h4s_realaxs_real,X2))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1))))=>![X4]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1),s(t_h4s_nums_num,X4))))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1),s(t_h4s_nums_num,X4))),s(t_h4s_realaxs_real,X2)))))),file('i/f/integral/DIVISION__MONO__LE__SUC', ah4s_integrals_DIVISIONu_u_BOUNDS)).
fof(41, axiom,![X10]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X10)))),file('i/f/integral/DIVISION__MONO__LE__SUC', ah4s_reals_REALu_u_LEu_u_REFL)).
fof(76, axiom,![X2]:![X3]:![X28]:(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,X3),s(t_h4s_realaxs_real,X2))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X28))))<=>(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X28),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_realaxs_real,X3)&(![X4]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_transcs_dsize(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X28))))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X28),s(t_h4s_nums_num,X4))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X28),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4)))))))))&![X4]:(p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_transcs_dsize(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X28))))))=>s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X28),s(t_h4s_nums_num,X4)))=s(t_h4s_realaxs_real,X2))))),file('i/f/integral/DIVISION__MONO__LE__SUC', ah4s_transcs_DIVISIONu_u_THM)).
# SZS output end CNFRefutation
