# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X1))),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,X1)=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__ABS__LE0', ch4s_integers_INTu_u_ABSu_u_LE0)).
fof(3, axiom,![X2]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2)))),file('i/f/integer/INT__ABS__LE0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(4, axiom,![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0))))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/integer/INT__ABS__LE0', ah4s_arithmetics_LESSu_u_EQu_u_0)).
fof(8, axiom,![X2]:![X3]: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,X3))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X2)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))),file('i/f/integer/INT__ABS__LE0', ah4s_integers_INTu_u_LE)).
fof(9, axiom,![X2]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X2)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X2))),file('i/f/integer/INT__ABS__LE0', ah4s_integers_INTu_u_ABSu_u_NUM)).
fof(10, axiom,![X1]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1)))))=s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X1))),file('i/f/integer/INT__ABS__LE0', ah4s_integers_INTu_u_ABSu_u_NEG)).
fof(12, axiom,![X8]:(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X8)))=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,X8)=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__ABS__LE0', ah4s_integers_INTu_u_NEGu_u_EQ0)).
fof(13, axiom,![X1]:(?[X2]:(s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X2)))&~(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)))|(?[X2]:(s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X2)))))&~(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)))|s(t_h4s_integers_int,X1)=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__ABS__LE0', ah4s_integers_INTu_u_NUMu_u_CASES)).
# SZS output end CNFRefutation
