# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/integral/INTEGRABLE__COMBINE', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/integral/INTEGRABLE__COMBINE', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f0)),file('i/f/integral/INTEGRABLE__COMBINE', aHLu_BOOLu_CASES)).
fof(6, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/integral/INTEGRABLE__COMBINE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(12, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/integral/INTEGRABLE__COMBINE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(30, axiom,![X4]:![X19]:![X20]:(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,X20),s(t_h4s_realaxs_real,X19))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X4))))<=>?[X21]: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,X20),s(t_h4s_realaxs_real,X19))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X4),s(t_h4s_realaxs_real,X21))))),file('i/f/integral/INTEGRABLE__COMBINE', ah4s_integrals_integrableu_u_def)).
fof(31, axiom,![X22]:![X21]:![X4]:![X23]:![X19]:![X20]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X20),s(t_h4s_realaxs_real,X19))))&(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X19),s(t_h4s_realaxs_real,X23))))&(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,X20),s(t_h4s_realaxs_real,X19))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X4),s(t_h4s_realaxs_real,X21))))&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,X19),s(t_h4s_realaxs_real,X23))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X4),s(t_h4s_realaxs_real,X22)))))))=>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,X20),s(t_h4s_realaxs_real,X23))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X4),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X21),s(t_h4s_realaxs_real,X22))))))),file('i/f/integral/INTEGRABLE__COMBINE', ah4s_integrals_DINTu_u_COMBINE)).
fof(32, conjecture,![X4]:![X23]:![X19]:![X20]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X20),s(t_h4s_realaxs_real,X19))))&(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X19),s(t_h4s_realaxs_real,X23))))&(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,X20),s(t_h4s_realaxs_real,X19))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X4))))&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,X19),s(t_h4s_realaxs_real,X23))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X4)))))))=>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,X20),s(t_h4s_realaxs_real,X23))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X4))))),file('i/f/integral/INTEGRABLE__COMBINE', ch4s_integrals_INTEGRABLEu_u_COMBINE)).
# SZS output end CNFRefutation
