# 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_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,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,X1)))))))))))=s(t_bool,f),file('i/f/integer/INT__LE__REDUCE_c2', ch4s_integers_INTu_u_LEu_u_REDUCEu_c2)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__LE__REDUCE_c2', aHLu_FALSITY)).
fof(14, axiom,![X4]:(s(t_bool,f)=s(t_bool,X4)<=>~(p(s(t_bool,X4)))),file('i/f/integer/INT__LE__REDUCE_c2', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(31, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/integer/INT__LE__REDUCE_c2', aHLu_BOOLu_CASES)).
fof(34, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/integer/INT__LE__REDUCE_c2', ah4s_numerals_numeralu_u_lteu_c1)).
fof(36, axiom,![X1]:![X15]: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,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,X15)))))))=s(t_bool,f),file('i/f/integer/INT__LE__REDUCE_c2', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c3)).
fof(38, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))),file('i/f/integer/INT__LE__REDUCE_c2', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(41, axiom,![X1]:![X15]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X1)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X15))))),file('i/f/integer/INT__LE__REDUCE_c2', ah4s_arithmetics_NOTu_u_LEQ)).
fof(42, axiom,![X1]:![X15]:(~(s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,X1))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,X1))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X15)))))),file('i/f/integer/INT__LE__REDUCE_c2', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(43, axiom,![X8]:![X6]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X8))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X8))))|s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,X8))),file('i/f/integer/INT__LE__REDUCE_c2', ah4s_integers_INTu_u_LEu_u_CALCULATE)).
fof(46, axiom,![X6]: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,X6)))))=s(t_h4s_integers_int,X6),file('i/f/integer/INT__LE__REDUCE_c2', ah4s_integers_INTu_u_NEGNEG)).
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__LE__REDUCE_c2', ah4s_integers_INTu_u_NEGu_u_0)).
fof(53, axiom,![X1]:![X15]:(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X15)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1)))<=>s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,X1)),file('i/f/integer/INT__LE__REDUCE_c2', ah4s_integers_INTu_u_INJ)).
fof(56, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/integer/INT__LE__REDUCE_c2', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(57, axiom,s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/integer/INT__LE__REDUCE_c2', ah4s_arithmetics_ONE)).
fof(64, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/integer/INT__LE__REDUCE_c2', ah4s_numerals_numeralu_u_distribu_c27)).
fof(66, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/integer/INT__LE__REDUCE_c2', ah4s_numerals_numeralu_u_sucu_c0)).
fof(77, axiom,![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/integer/INT__LE__REDUCE_c2', ah4s_arithmetics_MULTu_u_CLAUSESu_c1)).
fof(78, axiom,p(s(t_bool,t)),file('i/f/integer/INT__LE__REDUCE_c2', aHLu_TRUTH)).
# SZS output end CNFRefutation
