# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X1)))<=>s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,X1)),file('i/f/integer/INT__EQ__LADD', ch4s_integers_INTu_u_EQu_u_LADD)).
fof(20, axiom,![X2]:![X3]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X3))),file('i/f/integer/INT__EQ__LADD', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(21, axiom,![X1]:![X2]:![X3]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),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,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,X1))),file('i/f/integer/INT__EQ__LADD', ah4s_integers_INTu_u_ADDu_u_ASSOC)).
fof(29, axiom,![X3]: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,X3)))=s(t_h4s_integers_int,X3),file('i/f/integer/INT__EQ__LADD', ah4s_integers_INTu_u_ADDu_u_LID)).
fof(30, axiom,![X3]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X3)))))=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__EQ__LADD', ah4s_integers_INTu_u_ADDu_u_RINV)).
fof(31, axiom,![X3]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),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,X3),file('i/f/integer/INT__EQ__LADD', ah4s_integers_INTu_u_ADDu_u_RID)).
fof(41, axiom,![X12]:(~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,h4s_integers_intu_u_0)))))=>?[X22]:s(t_h4s_integers_int,X12)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X22)))),file('i/f/integer/INT__EQ__LADD', ah4s_integers_NUMu_u_POSINTu_u_EX)).
fof(43, 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__EQ__LADD', ah4s_integers_INTu_u_0)).
fof(72, axiom,![X3]:~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X3))))),file('i/f/integer/INT__EQ__LADD', ah4s_integers_INTu_u_LTu_u_REFL)).
fof(76, axiom,![X2]:![X3]:s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2))))),file('i/f/integer/INT__EQ__LADD', ah4s_integers_intu_u_sub0)).
# SZS output end CNFRefutation
