# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(~(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))))<=>(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,X1))))|p(s(t_bool,h4s_integers_intu_u_lt(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/intExtension/INT__NE__IMP__LTGT', ch4s_intExtensions_INTu_u_NEu_u_IMPu_u_LTGT)).
fof(37, axiom,![X12]:![X1]:(s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,X12)|(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X12))))|p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,X1)))))),file('i/f/intExtension/INT__NE__IMP__LTGT', ah4s_integers_INTu_u_LTu_u_TOTAL)).
fof(38, axiom,![X12]:![X1]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X12))))=>~(s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,X12))),file('i/f/intExtension/INT__NE__IMP__LTGT', ah4s_integers_INTu_u_LTu_u_IMPu_u_NE)).
# SZS output end CNFRefutation
