# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),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,X2)=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1)))),file('i/f/integer/INT__LNEG__UNIQ', ch4s_integers_INTu_u_LNEGu_u_UNIQ)).
fof(22, axiom,![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2)))))=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__LNEG__UNIQ', ah4s_integers_INTu_u_ADDu_u_RINV)).
fof(23, axiom,![X24]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X24)))=s(t_h4s_integers_int,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_h4s_integers_int),h4s_integers_intu_u_abs),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_integers_tintu_u_neg(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_integers_int,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_integers_intu_u_rep),s(t_h4s_integers_int,X24))))))),file('i/f/integer/INT__LNEG__UNIQ', ah4s_integers_intu_u_neg0)).
fof(24, axiom,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1))))),file('i/f/integer/INT__LNEG__UNIQ', ah4s_integers_intu_u_sub0)).
fof(25, axiom,![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_add(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,X2)))=s(t_h4s_integers_int,X2),file('i/f/integer/INT__LNEG__UNIQ', ah4s_integers_INTu_u_ADDu_u_LID)).
fof(27, axiom,![X12]:![X1]:![X2]:(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X12)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X12)))<=>s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,X1)),file('i/f/integer/INT__LNEG__UNIQ', ah4s_integers_INTu_u_EQu_u_RADD)).
fof(30, axiom,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2))),file('i/f/integer/INT__LNEG__UNIQ', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(31, axiom,![X12]:![X1]:![X2]:(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X12)))<=>s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,X12)),file('i/f/integer/INT__LNEG__UNIQ', ah4s_integers_INTu_u_EQu_u_LADD)).
fof(35, axiom,s(t_h4s_integers_int,h4s_integers_intu_u_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__LNEG__UNIQ', ah4s_integers_INTu_u_0)).
fof(40, axiom,![X13]:(~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,h4s_integers_intu_u_0)))))=>?[X25]:s(t_h4s_integers_int,X13)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X25)))),file('i/f/integer/INT__LNEG__UNIQ', ah4s_integers_NUMu_u_POSINTu_u_EX)).
fof(81, axiom,![X2]:~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X2))))),file('i/f/integer/INT__LNEG__UNIQ', ah4s_integers_INTu_u_LTu_u_REFL)).
# SZS output end CNFRefutation
