# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(~(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,h4s_nums_0))))<=>p(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,X1))))))),file('i/f/integer/INT__LT__NZ', ch4s_integers_INTu_u_LTu_u_NZ)).
fof(5, axiom,![X5]:![X6]:(~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X5)))))<=>p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X5),s(t_h4s_integers_int,X6))))),file('i/f/integer/INT__LT__NZ', ah4s_integers_INTu_u_NOTu_u_LT)).
fof(11, axiom,![X6]:p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X6)))),file('i/f/integer/INT__LT__NZ', ah4s_integers_INTu_u_LEu_u_REFL)).
fof(18, axiom,![X5]:![X6]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X5))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X5))))|s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,X5))),file('i/f/integer/INT__LT__NZ', ah4s_integers_INTu_u_LEu_u_LT)).
fof(33, axiom,![X6]:(s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))|(p(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,X6))))|p(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_neg(s(t_h4s_integers_int,X6)))))))),file('i/f/integer/INT__LT__NZ', ah4s_integers_INTu_u_LTu_u_NEGTOTAL)).
fof(35, axiom,![X6]: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_neg(s(t_h4s_integers_int,X6)))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/integer/INT__LT__NZ', ah4s_integers_INTu_u_NEGu_u_GT0)).
fof(57, axiom,![X1]:![X21]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X21))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X1))),file('i/f/integer/INT__LT__NZ', ah4s_integers_INTu_u_LE)).
fof(78, axiom,![X1]:![X21]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X21))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X1)))))=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,X21)),file('i/f/integer/INT__LT__NZ', ah4s_arithmetics_LESSu_u_EQUALu_u_ANTISYM)).
fof(80, 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__NZ', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
# SZS output end CNFRefutation
