# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_bool,f),file('i/f/integer/INT__LT__REDUCE_c4', ch4s_integers_INTu_u_LTu_u_REDUCEu_c4)).
fof(14, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/integer/INT__LT__REDUCE_c4', aHLu_BOOLu_CASES)).
fof(20, axiom,p(s(t_bool,t)),file('i/f/integer/INT__LT__REDUCE_c4', aHLu_TRUTH)).
fof(28, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))),file('i/f/integer/INT__LT__REDUCE_c4', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(32, axiom,![X1]:![X11]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X11)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X11))),file('i/f/integer/INT__LT__REDUCE_c4', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c0)).
fof(40, axiom,![X4]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,X4),file('i/f/integer/INT__LT__REDUCE_c4', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(51, axiom,![X1]:![X11]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X1)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X11))))),file('i/f/integer/INT__LT__REDUCE_c4', ah4s_arithmetics_NOTu_u_LESS)).
# SZS output end CNFRefutation
