# 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_integrals_integrable(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))))))),file('i/f/integral/INTEGRABLE__CONST', ch4s_integrals_INTEGRABLEu_u_CONST)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integral/INTEGRABLE__CONST', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integral/INTEGRABLE__CONST', aHLu_FALSITY)).
fof(6, axiom,![X7]:![X4]:![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,X5),s(t_h4s_realaxs_real,X4))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X7))))<=>?[X8]: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),X7),s(t_h4s_realaxs_real,X8))))),file('i/f/integral/INTEGRABLE__CONST', ah4s_integrals_integrableu_u_def)).
fof(7, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/integral/INTEGRABLE__CONST', aHLu_BOOLu_CASES)).
fof(9, 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/INTEGRABLE__CONST', ah4s_integrals_DINTu_u_CONST)).
# SZS output end CNFRefutation
