# 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,X2),s(t_h4s_realaxs_real,X1))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3))))=>s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3),s(t_h4s_nums_num,h4s_transcs_dsize(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3)))))=s(t_h4s_realaxs_real,X1)),file('i/f/transc/DIVISION__RHS', ch4s_transcs_DIVISIONu_u_RHS)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/transc/DIVISION__RHS', aHLu_TRUTH)).
fof(7, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)<=>p(s(t_bool,X9))),file('i/f/transc/DIVISION__RHS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, 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,X2),s(t_h4s_realaxs_real,X1))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3))))<=>(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_realaxs_real,X2)&(![X10]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_transcs_dsize(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3))))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3),s(t_h4s_nums_num,X10))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10)))))))))&![X10]:(p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_transcs_dsize(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3))))))=>s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3),s(t_h4s_nums_num,X10)))=s(t_h4s_realaxs_real,X1))))),file('i/f/transc/DIVISION__RHS', ah4s_transcs_DIVISIONu_u_THM)).
fof(9, axiom,![X11]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X11)))),file('i/f/transc/DIVISION__RHS', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(10, axiom,![X10]:![X11]:s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10))),file('i/f/transc/DIVISION__RHS', ah4s_arithmetics_GREATERu_u_EQ)).
# SZS output end CNFRefutation
