# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,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)))))))))))),file('i/f/int_arith/INT__LT__ADD__NUMERAL_c1', ch4s_intu_u_ariths_INTu_u_LTu_u_ADDu_u_NUMERALu_c1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/int_arith/INT__LT__ADD__NUMERAL_c1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/int_arith/INT__LT__ADD__NUMERAL_c1', aHLu_FALSITY)).
fof(12, axiom,![X7]: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,X7)))))),file('i/f/int_arith/INT__LT__ADD__NUMERAL_c1', ah4s_primu_u_recs_LESSu_u_0)).
fof(14, axiom,![X1]:![X2]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))))=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))),file('i/f/int_arith/INT__LT__ADD__NUMERAL_c1', ah4s_integers_INTu_u_LTu_u_ADDR)).
fof(15, axiom,![X7]:![X8]: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,X8))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X7)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))),file('i/f/int_arith/INT__LT__ADD__NUMERAL_c1', ah4s_integers_INTu_u_LT)).
fof(16, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X2),file('i/f/int_arith/INT__LT__ADD__NUMERAL_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(17, axiom,![X7]:s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,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,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))))),file('i/f/int_arith/INT__LT__ADD__NUMERAL_c1', ah4s_arithmetics_BIT20)).
fof(19, axiom,![X7]:![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))))),file('i/f/int_arith/INT__LT__ADD__NUMERAL_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(20, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/int_arith/INT__LT__ADD__NUMERAL_c1', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
