# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((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,X4),s(t_h4s_realaxs_real,X3))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))))&(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),X2),s(t_h4s_nums_num,X1))),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,X1))))))))&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,h4s_nums_suc(s(t_h4s_nums_num,X1)))))))=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,X1)))))))=>s(t_h4s_nums_num,h4s_transcs_dsize(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,X1)))),file('i/f/integral/DIVISION__DSIZE__EQ', ch4s_integrals_DIVISIONu_u_DSIZEu_u_EQ)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integral/DIVISION__DSIZE__EQ', aHLu_FALSITY)).
fof(23, axiom,![X1]:![X2]:![X3]:![X4]:((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,X4),s(t_h4s_realaxs_real,X3))),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_suc(s(t_h4s_nums_num,X1)))))=s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_nums_num,X1))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_transcs_dsize(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))),s(t_h4s_nums_num,X1))))),file('i/f/integral/DIVISION__DSIZE__EQ', ah4s_integrals_DIVISIONu_u_DSIZEu_u_LE)).
fof(24, axiom,![X1]:![X2]:![X3]:![X4]:((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,X4),s(t_h4s_realaxs_real,X3))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))))&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),X2),s(t_h4s_nums_num,X1))),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,X1)))))))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_transcs_dsize(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))))))),file('i/f/integral/DIVISION__DSIZE__EQ', ah4s_integrals_DIVISIONu_u_DSIZEu_u_GE)).
fof(25, axiom,![X1]:![X17]:(s(t_h4s_nums_num,X17)=s(t_h4s_nums_num,X1)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X1))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X17)))))),file('i/f/integral/DIVISION__DSIZE__EQ', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(28, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/integral/DIVISION__DSIZE__EQ', aHLu_BOOLu_CASES)).
fof(29, axiom,p(s(t_bool,t)),file('i/f/integral/DIVISION__DSIZE__EQ', aHLu_TRUTH)).
fof(32, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/integral/DIVISION__DSIZE__EQ', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
