# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X1),s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))=>![X3]:![X4]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X4),s(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,X4),s(t_h4s_realaxs_real,X3))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X1)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/integral/INTEGRAL__0', ch4s_integrals_INTEGRALu_u_0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integral/INTEGRAL__0', aHLu_TRUTH)).
fof(8, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/integral/INTEGRAL__0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X10]:![X8]:![X3]:![X4]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X3))))&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,X4),s(t_h4s_realaxs_real,X3))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X8),s(t_h4s_realaxs_real,X10)))))=>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,X4),s(t_h4s_realaxs_real,X3))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X8)))=s(t_h4s_realaxs_real,X10)),file('i/f/integral/INTEGRAL__0', ah4s_integrals_DINTu_u_INTEGRAL)).
fof(10, axiom,![X1]:(![X2]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X1),s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))=>![X3]:![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,X4),s(t_h4s_realaxs_real,X3))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X1),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/integral/INTEGRAL__0', ah4s_integrals_DINTu_u_0)).
# SZS output end CNFRefutation
