# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_numpairs_tri(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_arithmetics_u_2a(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_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/numpair/tri__formula', ch4s_numpairs_triu_u_formula)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/numpair/tri__formula', aHLu_TRUTH)).
fof(6, axiom,![X1]:![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X5))),file('i/f/numpair/tri__formula', ah4s_arithmetics_MULTu_u_COMM)).
fof(7, axiom,![X1]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1)))))=s(t_bool,t),file('i/f/numpair/tri__formula', ah4s_numerals_numeralu_u_ltu_c1)).
fof(8, axiom,![X6]:![X1]:![X7]:(?[X8]:(s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X8)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X1)))))=>s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X6)),file('i/f/numpair/tri__formula', ah4s_arithmetics_DIVu_u_UNIQUE)).
fof(9, axiom,![X1]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X1))),file('i/f/numpair/tri__formula', ah4s_numerals_numeralu_u_distribu_c21)).
fof(10, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_numpairs_tri(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(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_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),file('i/f/numpair/tri__formula', ah4s_numpairs_twotriu_u_formula)).
fof(11, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X5),file('i/f/numpair/tri__formula', ah4s_arithmetics_ADDu_u_0)).
# SZS output end CNFRefutation
