# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_quot(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,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__QUOT__REDUCE_c0', ch4s_integers_INTu_u_QUOTu_u_REDUCEu_c0)).
fof(11, axiom,![X8]:![X9]:(~(s(t_h4s_nums_num,X8)=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_ofu_u_num(s(t_h4s_nums_num,X9))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X8)))))=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,X9),s(t_h4s_nums_num,X8)))))),file('i/f/integer/INT__QUOT__REDUCE_c0', ah4s_integers_INTu_u_QUOT)).
fof(13, axiom,![X1]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/integer/INT__QUOT__REDUCE_c0', ah4s_nums_NOTu_u_SUC)).
fof(14, axiom,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))),file('i/f/integer/INT__QUOT__REDUCE_c0', ah4s_primu_u_recs_LESSu_u_0)).
fof(15, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_bit1(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_0))))))),file('i/f/integer/INT__QUOT__REDUCE_c0', ah4s_arithmetics_BIT10)).
fof(16, axiom,![X7]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X7),file('i/f/integer/INT__QUOT__REDUCE_c0', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(17, axiom,![X1]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1))))=>s(t_h4s_nums_num,h4s_arithmetics_div(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_c0', ah4s_arithmetics_ZEROu_u_DIV)).
fof(18, axiom,![X1]:![X7]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X1))))),file('i/f/integer/INT__QUOT__REDUCE_c0', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(20, 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__QUOT__REDUCE_c0', ah4s_arithmetics_NUMERALu_u_DEF)).
# SZS output end CNFRefutation
