# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,X1)))=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,X1))),file('i/f/integer/INT__LE__NEGL', ch4s_integers_INTu_u_LEu_u_NEGL)).
fof(4, axiom,![X8]:![X9]:((p(s(t_bool,X9))=>p(s(t_bool,X8)))=>((p(s(t_bool,X8))=>p(s(t_bool,X9)))=>s(t_bool,X9)=s(t_bool,X8))),file('i/f/integer/INT__LE__NEGL', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(21, axiom,![X1]:(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,X1))))|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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1))))))),file('i/f/integer/INT__LE__NEGL', ah4s_integers_INTu_u_LEu_u_NEGTOTAL)).
fof(22, axiom,![X7]:![X1]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X7))))<=>~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X1)))))),file('i/f/integer/INT__LE__NEGL', ah4s_integers_intu_u_le0)).
fof(23, axiom,![X1]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_neg(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_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,X1))),file('i/f/integer/INT__LE__NEGL', ah4s_integers_INTu_u_NEGu_u_LE0)).
fof(26, axiom,![X1]: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,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X1)))))=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,X1))),file('i/f/integer/INT__LE__NEGL', ah4s_integers_INTu_u_LEu_u_DOUBLE)).
fof(28, axiom,![X1]: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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1)))))=s(t_bool,h4s_integers_intu_u_le(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__LE__NEGL', ah4s_integers_INTu_u_NEGu_u_GE0)).
fof(29, axiom,![X7]:![X1]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X7))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X7))))|s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,X7))),file('i/f/integer/INT__LE__NEGL', ah4s_integers_INTu_u_LEu_u_LT)).
fof(30, axiom,![X1]: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,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X1)))))),file('i/f/integer/INT__LE__NEGL', ah4s_integers_INTu_u_LEu_u_SQUARE)).
fof(31, axiom,![X7]:![X1]:(~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X7)))))<=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X1))))),file('i/f/integer/INT__LE__NEGL', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(34, axiom,![X7]:![X1]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X7))))<=>(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X7))))&~(s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,X7)))),file('i/f/integer/INT__LE__NEGL', ah4s_integers_INTu_u_LTu_u_LE)).
fof(35, axiom,![X1]: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,X1)))=s(t_h4s_integers_int,X1),file('i/f/integer/INT__LE__NEGL', ah4s_integers_INTu_u_ADDu_u_LID)).
fof(41, axiom,![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1)))))=s(t_h4s_integers_int,X1),file('i/f/integer/INT__LE__NEGL', ah4s_integers_INTu_u_NEGNEG)).
fof(48, axiom,![X13]:![X7]:![X1]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X13)))))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X13))),s(t_h4s_integers_int,X1))),file('i/f/integer/INT__LE__NEGL', ah4s_integers_INTu_u_LTu_u_ADDNEG)).
fof(50, axiom,![X7]:![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X7)))))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X7))))),file('i/f/integer/INT__LE__NEGL', ah4s_integers_INTu_u_NEGu_u_ADD)).
fof(56, axiom,![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(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__LE__NEGL', ah4s_integers_INTu_u_MULu_u_LZERO)).
fof(57, axiom,![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(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,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/integer/INT__LE__NEGL', ah4s_integers_INTu_u_MULu_u_RZERO)).
fof(61, axiom,![X7]:![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X7)))))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X7))))),file('i/f/integer/INT__LE__NEGL', ah4s_integers_INTu_u_NEGu_u_RMUL)).
fof(62, axiom,![X7]:![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X7)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X7))))),file('i/f/integer/INT__LE__NEGL', ah4s_integers_intu_u_sub0)).
fof(68, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__LE__NEGL', aHLu_FALSITY)).
fof(72, axiom,![X11]:(s(t_bool,X11)=s(t_bool,f)<=>~(p(s(t_bool,X11)))),file('i/f/integer/INT__LE__NEGL', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(80, axiom,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,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))),file('i/f/integer/INT__LE__NEGL', ah4s_integers_INTu_u_LTu_u_01)).
# SZS output end CNFRefutation
