# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((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),X4))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_transcs_dsize(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4)))))))=>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),X4),s(t_h4s_nums_num,X1))),s(t_h4s_realaxs_real,X2))))),file('i/f/transc/DIVISION__UBOUND__LT', ch4s_transcs_DIVISIONu_u_UBOUNDu_u_LT)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/transc/DIVISION__UBOUND__LT', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/transc/DIVISION__UBOUND__LT', aHLu_FALSITY)).
fof(5, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/transc/DIVISION__UBOUND__LT', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(6, axiom,![X2]:![X3]:![X4]:(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),X4))))=>s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4),s(t_h4s_nums_num,h4s_transcs_dsize(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4)))))=s(t_h4s_realaxs_real,X2)),file('i/f/transc/DIVISION__UBOUND__LT', ah4s_transcs_DIVISIONu_u_RHS)).
fof(7, axiom,![X2]:![X3]:![X4]:(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),X4))))=>![X1]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_transcs_dsize(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4))))))=>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),X4),s(t_h4s_nums_num,X1))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4),s(t_h4s_nums_num,h4s_transcs_dsize(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4)))))))))),file('i/f/transc/DIVISION__UBOUND__LT', ah4s_transcs_DIVISIONu_u_GT)).
fof(8, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/transc/DIVISION__UBOUND__LT', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
