# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_quot(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,X2))))))),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_bit2(s(t_h4s_nums_num,X1)))))))))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1))))))))),file('i/f/integer/INT__QUOT__REDUCE_c9', ch4s_integers_INTu_u_QUOTu_u_REDUCEu_c9)).
fof(3, axiom,![X5]: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,X5)))))=s(t_h4s_integers_int,X5),file('i/f/integer/INT__QUOT__REDUCE_c9', ah4s_integers_INTu_u_NEGNEG)).
fof(4, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,X5),file('i/f/integer/INT__QUOT__REDUCE_c9', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(5, axiom,![X1]:![X2]:(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X2)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1)))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1)),file('i/f/integer/INT__QUOT__REDUCE_c9', ah4s_integers_INTu_u_INJ)).
fof(24, axiom,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_quot(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,X2))))))),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_bit2(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,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1))))))))))),file('i/f/integer/INT__QUOT__REDUCE_c9', ah4s_integers_INTu_u_QUOTu_u_REDUCEu_c5)).
fof(27, axiom,![X13]:![X14]:(~(s(t_h4s_integers_int,X13)=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_quot(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X14))),s(t_h4s_integers_int,X13)))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_quot(s(t_h4s_integers_int,X14),s(t_h4s_integers_int,X13)))))&s(t_h4s_integers_int,h4s_integers_intu_u_quot(s(t_h4s_integers_int,X14),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X13)))))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_quot(s(t_h4s_integers_int,X14),s(t_h4s_integers_int,X13))))))),file('i/f/integer/INT__QUOT__REDUCE_c9', ah4s_integers_INTu_u_QUOTu_u_NEG)).
fof(55, 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__QUOT__REDUCE_c9', ah4s_numerals_numeralu_u_distribu_c27)).
fof(58, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))))),file('i/f/integer/INT__QUOT__REDUCE_c9', ah4s_arithmetics_BIT20)).
fof(60, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/integer/INT__QUOT__REDUCE_c9', ah4s_numerals_numeralu_u_lteu_c2)).
fof(63, axiom,![X1]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0))))<=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/integer/INT__QUOT__REDUCE_c9', ah4s_arithmetics_LESSu_u_EQu_u_0)).
fof(79, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__QUOT__REDUCE_c9', aHLu_FALSITY)).
# SZS output end CNFRefutation
