# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,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_nums_0))),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_c2', ch4s_integers_INTu_u_LTu_u_REDUCEu_c2)).
fof(9, axiom,![X8]:![X9]:((p(s(t_bool,X9))=>p(s(t_bool,X8)))=>((p(s(t_bool,X8))=>p(s(t_bool,X9)))=>s(t_bool,X9)=s(t_bool,X8))),file('i/f/integer/INT__LT__REDUCE_c2', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(30, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__LT__REDUCE_c2', aHLu_FALSITY)).
fof(58, axiom,![X14]:![X15]: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,X15))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X14)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))),file('i/f/integer/INT__LT__REDUCE_c2', ah4s_integers_INTu_u_LT)).
fof(72, axiom,![X14]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/integer/INT__LT__REDUCE_c2', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
# SZS output end CNFRefutation
