# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:![X3]:![X4]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real)),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real))),X1),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X3))),s(t_h4s_realaxs_real,X4)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X4))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X3),s(t_h4s_realaxs_real,X4)))))=>![X3]:![X2]:![X5]:![X6]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))))&(p(s(t_bool,h4s_integrals_integrable(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2))))&p(s(t_bool,h4s_integrals_integrable(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X3))))))=>s(t_h4s_realaxs_real,h4s_integrals_integral(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real)),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real))),X1),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X3)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_integrals_integral(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2))),s(t_h4s_realaxs_real,h4s_integrals_integral(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X3))))))),file('i/f/integral/INTEGRAL__ADD', ch4s_integrals_INTEGRALu_u_ADD)).
fof(3, axiom,![X1]:(![X2]:![X3]:![X4]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real)),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real))),X1),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X3))),s(t_h4s_realaxs_real,X4)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X4))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X3),s(t_h4s_realaxs_real,X4)))))=>![X10]:![X11]:![X3]:![X2]:![X5]:![X6]:((p(s(t_bool,h4s_transcs_dint(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X11))))&p(s(t_bool,h4s_transcs_dint(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X3),s(t_h4s_realaxs_real,X10)))))=>p(s(t_bool,h4s_transcs_dint(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real)),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real))),X1),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X3))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X10)))))))),file('i/f/integral/INTEGRAL__ADD', ah4s_integrals_DINTu_u_ADD)).
fof(4, axiom,![X2]:![X5]:![X6]:(p(s(t_bool,h4s_integrals_integrable(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2))))=>p(s(t_bool,h4s_transcs_dint(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,h4s_integrals_integral(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2))))))),file('i/f/integral/INTEGRAL__ADD', ah4s_integrals_INTEGRABLEu_u_DINT)).
fof(5, axiom,![X11]:![X2]:![X5]:![X6]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))))&p(s(t_bool,h4s_transcs_dint(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X11)))))=>s(t_h4s_realaxs_real,h4s_integrals_integral(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2)))=s(t_h4s_realaxs_real,X11)),file('i/f/integral/INTEGRAL__ADD', ah4s_integrals_DINTu_u_INTEGRAL)).
# SZS output end CNFRefutation
