# 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_realaxs_real,t_h4s_realaxs_real),happ(s(t_fun(t_h4s_realaxs_real,t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real)),X1),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,X3)))=s(t_h4s_realaxs_real,X2)=>![X2]:![X4]:![X5]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X4))))=>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,X5),s(t_h4s_realaxs_real,X4))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),happ(s(t_fun(t_h4s_realaxs_real,t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real)),X1),s(t_h4s_realaxs_real,X2)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(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))))))),file('i/f/integral/INTEGRAL__CONST', ch4s_integrals_INTEGRALu_u_CONST)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integral/INTEGRAL__CONST', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integral/INTEGRAL__CONST', aHLu_FALSITY)).
fof(4, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/integral/INTEGRAL__CONST', aHLu_BOOLu_CASES)).
fof(8, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/integral/INTEGRAL__CONST', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X11]:![X9]:![X4]:![X5]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X4))))&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,X5),s(t_h4s_realaxs_real,X4))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X9),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,X5),s(t_h4s_realaxs_real,X4))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X9)))=s(t_h4s_realaxs_real,X11)),file('i/f/integral/INTEGRAL__CONST', ah4s_integrals_DINTu_u_INTEGRAL)).
fof(10, axiom,![X1]:(![X2]:![X3]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),happ(s(t_fun(t_h4s_realaxs_real,t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real)),X1),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,X3)))=s(t_h4s_realaxs_real,X2)=>![X2]:![X4]:![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,X5),s(t_h4s_realaxs_real,X4))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),happ(s(t_fun(t_h4s_realaxs_real,t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real)),X1),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(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))))))))),file('i/f/integral/INTEGRAL__CONST', ah4s_integrals_DINTu_u_CONST)).
# SZS output end CNFRefutation
