# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_transcs_division(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1))))=>![X4]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1),s(t_h4s_nums_num,X4))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4))))))))),file('i/f/integral/DIVISION__MONO__LE__SUC', ch4s_integrals_DIVISIONu_u_MONOu_u_LEu_u_SUC)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integral/DIVISION__MONO__LE__SUC', aHLu_FALSITY)).
fof(24, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_transcs_division(s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1))))=>![X18]:![X4]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X4))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1),s(t_h4s_nums_num,X18))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1),s(t_h4s_nums_num,X4)))))))),file('i/f/integral/DIVISION__MONO__LE__SUC', ah4s_integrals_DIVISIONu_u_MONOu_u_LE)).
fof(29, axiom,![X4]:![X18]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4))))))<=>(s(t_h4s_nums_num,X18)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4)))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X4)))))),file('i/f/integral/DIVISION__MONO__LE__SUC', ah4s_arithmetics_LEu_c1)).
fof(30, axiom,![X18]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X18)))),file('i/f/integral/DIVISION__MONO__LE__SUC', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(32, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/integral/DIVISION__MONO__LE__SUC', aHLu_BOOLu_CASES)).
fof(33, axiom,p(s(t_bool,t)),file('i/f/integral/DIVISION__MONO__LE__SUC', aHLu_TRUTH)).
fof(36, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/integral/DIVISION__MONO__LE__SUC', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
