# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/integral/DINT__EQ', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/integral/DINT__EQ', 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/DINT__EQ', 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/DINT__EQ', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(15, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/integral/DINT__EQ', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(34, axiom,![X11]:![X6]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X11))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X6)))))<=>s(t_h4s_realaxs_real,X6)=s(t_h4s_realaxs_real,X11)),file('i/f/integral/DINT__EQ', ah4s_reals_REALu_u_LEu_u_ANTISYM)).
fof(35, axiom,![X21]:![X22]:![X5]:![X4]:![X23]:![X24]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X24),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,X24),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,X24),s(t_h4s_realaxs_real,X23))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X5),s(t_h4s_realaxs_real,X21))))&![X6]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X24),s(t_h4s_realaxs_real,X6))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X23)))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X4),s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X5),s(t_h4s_realaxs_real,X6))))))))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X22),s(t_h4s_realaxs_real,X21))))),file('i/f/integral/DINT__EQ', ah4s_integrals_DINTu_u_LE)).
fof(36, conjecture,![X21]:![X22]:![X5]:![X4]:![X23]:![X24]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X24),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,X24),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,X24),s(t_h4s_realaxs_real,X23))),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X5),s(t_h4s_realaxs_real,X21))))&![X6]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X24),s(t_h4s_realaxs_real,X6))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X23)))))=>s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X4),s(t_h4s_realaxs_real,X6)))=s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X5),s(t_h4s_realaxs_real,X6)))))))=>s(t_h4s_realaxs_real,X22)=s(t_h4s_realaxs_real,X21)),file('i/f/integral/DINT__EQ', ch4s_integrals_DINTu_u_EQ)).
# SZS output end CNFRefutation
