# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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__NUM__CASES', ch4s_integers_INTu_u_NUMu_u_CASES)).
fof(36, axiom,![X26]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X26),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))))=>?[X2]:s(t_h4s_integers_int,X26)=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)))))),file('i/f/integer/INT__NUM__CASES', ah4s_integers_NUMu_u_NEGINTu_u_EXISTS)).
fof(42, axiom,![X26]:(p(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,h4s_nums_0))),s(t_h4s_integers_int,X26))))=>?[X2]:s(t_h4s_integers_int,X26)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X2)))),file('i/f/integer/INT__NUM__CASES', ah4s_integers_NUMu_u_POSINTu_u_EXISTS)).
fof(47, axiom,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,h4s_nums_0)))))=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__NUM__CASES', ah4s_integers_INTu_u_NEGu_u_0)).
fof(65, axiom,![X9]:![X7]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X9))))<=>(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X9))))&~(s(t_h4s_integers_int,X7)=s(t_h4s_integers_int,X9)))),file('i/f/integer/INT__NUM__CASES', ah4s_integers_INTu_u_LTu_u_LE)).
fof(66, axiom,![X9]:![X7]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X9))))<=>~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X9),s(t_h4s_integers_int,X7)))))),file('i/f/integer/INT__NUM__CASES', ah4s_integers_intu_u_le0)).
fof(70, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__NUM__CASES', aHLu_FALSITY)).
fof(77, axiom,![X13]:(s(t_bool,f)=s(t_bool,X13)<=>~(p(s(t_bool,X13)))),file('i/f/integer/INT__NUM__CASES', ah4s_bools_EQu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
